diff --git "a/data/dm_maths/full_data_1/1382_11255.jsonl" "b/data/dm_maths/full_data_1/1382_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1382_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: How many centuries are there in 44\/5 of a millennium?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 91\/95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1470 and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(108)\/sqrt(2) - sqrt(6) - sqrt(6)))\/(sqrt(528)\/(sqrt(44)\/sqrt(4))) + -2)*3)**2.\nAnswer: 36*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m - 2*m + 0*m)*(1 - 3 + 6)*(m + 2*m - 4*m - 2)*(-22 + 22 + 28*m).\nAnswer: 560*m**3 + 1120*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 17*x**3 - 36*x**3 - 2 + 110*x**2 - 1 + 11*x**3 in the form p*x**3 + t*x + l + n*x**2 and give n.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + d + 4 + 9, -3*a = 4*d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42 - 37. Solve -3*g - 4 = d*q - 6*g, -2*g = 2*q + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 10. Let p(i) = 2*i**2 - 3*i + 3. Let z be p(2). Calculate v(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 962041 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -5. Suppose x*v = 2*f + 3, -2*f + 0 = 3*v - 15. Let h(q) = -q**2 - 2*q + 4. Let m be h(-3). Solve -f*y = -m + 16 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.661 + -0.621. Sort -2, s, 0.2, -263, 0 in descending order.\nAnswer: 0.2, s, 0, -2, -263","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1033.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/13106744 and 1\/1032.\nAnswer: 39320232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 8 = 2*h. Suppose 4 = h*t - 8. Let p(k) = -k**3 + 5*k**2 + 6*k + 5. What is p(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**4\/5 - 968*k**3\/5 + 3582*k**2 - 81324*k\/5 = 0.\nAnswer: -502, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2958*h - 4 - 6*h**2 + 2958*h in the form p*h + c + u*h**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppx when three letters picked without replacement from ppxxpxxpxp.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11938864*c + 10302160.\nAnswer: 11938864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-l - 2*l + 4*l)*(-2599*l**3 - 618*l**3 + 3*l**2 - 1365*l**3) as i*l + o*l**4 + f*l**2 + p*l**3 + t and give o.\nAnswer: -4582","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**3\/2 + 183*q**2 - 753*q\/2 - 558.\nAnswer: 3*(q - 3)*(q + 1)*(q + 124)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 23 = -4*c + 2*c, 2*c + 370 = -2*c - 13*p - p for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -24274029 >= 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -3424.903689 to 0 decimal places.\nAnswer: -3425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850254839.\nAnswer: 7, 121464977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nvvnnnnnunuuunnuun. What is prob of sequence vvn?\nAnswer: 5\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from tttttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide 4391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5044 rounded to the nearest 100?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + 35. Is 4 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49.39 - -4835.61. Let m = 4906.01 - q. Let n = m + -21. Which is the nearest to 1\/4? (a) n (b) -2\/9 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 19*y**2 + 15*y - 28. Let q be g(-18). Let o be 7*14\/49 + q\/(-2). Suppose 0 = h + 2 + 7. Is h bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23*t - 5397 + 5397)*(10*t**2 + 0*t + 5*t - 8*t**2).\nAnswer: -46*t**3 - 115*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q*q**(-23)\/q)\/q)\/q)\/(q*q**(-30)) assuming q is positive.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 210*y - 212*y - 2*v - 18, -v = 0 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 - -51. Let o be d\/(4 - 7) - -543. Calculate the highest common divisor of 49 and o.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**2 - 66*z + 248. Let u be t(-27). Which is smaller: -3600\/23 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1524*c*g**3 + 8452*c*g**2 + 353*g**6 - 82 wrt g?\nAnswer: -9144*c + 42360*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 114 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*k = -6*s - 54, -25 = -s - 4*k - 34 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j**3 - 2*j - 1. Let t be a(-1). Let y(o) = o**2 + 1 + 2 - t. Let v(g) be the first derivative of -2*g**3\/3 + 7*g + 1. What is -6*v(p) - 11*y(p)?\nAnswer: p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + 1 - 3*v + 3*v**2 - 2*v + (-2*v + 5*v - 5*v)*(v - 3*v + 4*v) + 5*v**2 + 0*v**2 - 3*v**2 + 9*v**2 - 7*v**2 + 11*v**2.\nAnswer: 13*v**2 - 5*v + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-2) + (9 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 8*h**2 - 3. Let n(r) be the second derivative of -3*r**3\/2 + 1500*r. Calculate n(u(f)).\nAnswer: -72*f**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -404 - -18. Let t = 388.8 + w. Let o = -3 + 4. Sort 3, t, o in ascending order.\nAnswer: o, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1898486705?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211002 - -11102210?\nAnswer: 12020212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 - 370115*n**3 + n**2 + 4*n**2.\nAnswer: -370115*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (973\/(-26271))\/(2\/24)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of ((-265)\/(-265))\/(1\/901)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 less than -294?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 582 + 252?\nAnswer: 834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 18*n - 131. Let w be u(5). Let f = -4 + 166. Let o = f - w. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7491 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49027 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110111 + -10110001010000000011?\nAnswer: -10110001011001111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1028)\/771)\/((-44)\/(-6)) - (-16)\/22.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 23. What is the common denominator of -1\/10 and (-205)\/(-30)*(-6)\/d?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*((-2)\/(-5) + (15 - 15)). Suppose 5*y - 2*a - 1902 + 657 = 0, 0 = -4*y + d*a + 998. Calculate the remainder when y is divided by 31.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1095.25 + -2624. Round r to the nearest 10.\nAnswer: -1530","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -5, 17\/16, 96, -0.4, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 1762*i - 496*i - 6.\nAnswer: -2258*i + 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -108. Let w(l) = 37 - 8*l + 7 + 4*l. Let k be w(5). What is the highest common divisor of i and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 2*o**2 + 9. Let y(k) = -k**2 + k - 1. Let l(w) = -q(w) - 3*y(w). Let b = 0 - 0. Let j = 5 - b. What is l(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*sqrt(128)*-1 + sqrt(128) + (6*1*sqrt(128))**2*-2)*4*6.\nAnswer: -221280 + 768*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h - 2. Let v(d) = -3*d - 6. Let s(g) = -48*g - 96. Let o(c) = -2*s(c) + 33*v(c). Determine -8*a(r) + 3*o(r).\nAnswer: -r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2\/7 + 650*d\/7 - 6908\/7 = 0?\nAnswer: 11, 314","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -226\/1726295 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 333992449?\nAnswer: 7, 29, 71, 23173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-70) - 10\/25. Let g = -0.09 - 14.91. Let l = g + 11. Sort l, q, 3\/7 in decreasing order.\nAnswer: 3\/7, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (35 - (54 + -7) - (8 + 0))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 8*w = 120, -w = 47*l - 51*l + 155. Solve 32*m - l*m + 56 = 0 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -150 + 1197\/8. Let o = 0.6 - 0.1. What is the nearest to -0.1 in o, v, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -20. Suppose 0 = 5*u - 9 - 11, -l = q*u - 21. Solve 0*d - d = 4*n - l, 4*d = -2*n - 4 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49878000 and 99875.\nAnswer: 2344266000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = 2. Suppose -2*x + 43 = -0*x - s, 3*s - 39 = -h*x. Does 10 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/9, -2.6, 0.023, -3\/55?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 0. Let q = 1 - -7. Let n = 11 - q. Which is bigger: l or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2423356500 to the nearest 1000000.\nAnswer: -2423000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5044 and 1.4.\nAnswer: 0.70616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + -0.3. Let s = -27 + 39. Let k be (-3)\/(-4) + s\/(-16). What is the second smallest value in -2\/3, a, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3964?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1132 - 3442?\nAnswer: -10124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 171 - 168. Which is the biggest value? (a) -2\/9 (b) 13 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 11, 26, 2 in ascending order.\nAnswer: 0, 2, 11, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/5*801\/178\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 347589239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 equal to 130\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -29. Let h = -7 + 11. Suppose 0*j = -h*j. Solve s*l = -j*l + 25 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*36.\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 - 5*q**2 + 13*q + 1. Let v(r) = -4*r**2 - 100*r + 209. Let f be v(2). What is m(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011101101100 + -100?\nAnswer: -11011101110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 54?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26138535 divided by -2245?\nAnswer: -11643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1442.\nAnswer: 2, 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 15772.\nAnswer: 157720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**2 - 4*p - 7. Let u = -3 + 6. Let k(b) = 5*b - 3*b - 2 - b**2 - u*b + 0*b**2. Let v = 7 + 0. Give v*k(o) - 2*i(o).\nAnswer: -o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -158 in -3\/5, 0.01, 1\/3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/7616112 and -149\/3173380.\nAnswer: 38080560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*q - 256. Let m be ((-3)\/6)\/((-4)\/q). What is the greatest common factor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-110)\/(-3)*-13*123\/2665.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307 = -11*f + 122. What is the remainder when 113 is divided by f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -36. Sort w, 16, -3, 4 in ascending order.\nAnswer: w, -3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000402551428 rounded to seven dps?\nAnswer: 0.0004026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2402123 (base 6) to base 15\nAnswer: 27019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2618 and -89\/112.\nAnswer: 20944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2*v. Factor 2*w + 3*w**2 + v*w**2 - 5*w.\nAnswer: 3*w*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/6)\/(-1*2\/6). Suppose 5*y = -8 + 43. Suppose 3*i = -2*i + 5*a, -2*i - g*a = y. What is the second smallest value in -4, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 444, 666, 888, 1110?\nAnswer: 1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 13378 + 1?\nAnswer: 13380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.178459 tonnes in grams?\nAnswer: 178459","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 2.5. Let r = x - 0.52. Sort 1, 3\/5, r in decreasing order.\nAnswer: 1, 3\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -38 + -1 + (-14 - -5) + 23?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4773 + -4776. What is the nearest to 2.3 in 4, -4, -0.4, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1414 - -1406. Let t(k) = k**2 + 11*k + 29. Calculate t(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -224 + 221. What is the nearest to 0.1 in -1\/4, w, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -346?\nAnswer: 2422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -7.219*102\nAnswer: -736.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1316 and 541534?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 5*c**2 - c - 4. Let d be o(-5). Solve 4*i + 4*z = -d - 31, 17 = i - 4*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/9 + 1)\/(((-40)\/(-2380))\/((-12)\/105))?\nAnswer: 34\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1712 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3075 is divided by 63?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.0634174876 to 5 decimal places.\nAnswer: -1.06342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -t - 4*t + 6, -5*p = -10. Let z = -40 + 42. Solve g - t = z*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - (25\/150 + (-13)\/6). Suppose -13*d + 59*d = 138. Find z, given that 0*z + z**2 - 1\/2*z**d + r = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 - 2*w - 10. Let f(h) = -6*h**2 + 3*h + 10. Calculate 2*f(v) + 3*j(v).\nAnswer: 3*v**2 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + d**2 - 2*d)*(-2*d - 3*d + 3*d)*(1 + 0 + 0).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27)\/2 + (-75)\/(-9150)*61?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-12)\/6 - -93) + -9 + 14. Calculate the greatest common factor of u and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5154 - -2?\nAnswer: 5156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 118915676 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(2\/7))\/l)\/l*l*l**16*(l**(-2\/19))**(-24) assuming l is positive.\nAnswer: l**(2502\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/147*405\/60. Let v = l + 2\/49. Suppose 0 + 0*b - 1\/2*b**5 + v*b**4 + 1\/2*b**3 - 1\/2*b**2 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -y - 0*y - 16, -3*y = -u + 34. Let o be (y\/7)\/((-4)\/98). What is the greatest common factor of o and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 71*k - 6177. Calculate x(87).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s + 23. Suppose 5 = -4*r - 5*l, 10 = 3*r - 3*l + 4*l. Let m be d(r). Solve -82*b**3 + 3*b - 6 + m*b + 81*b**3 - 4*b**2 = 0 for b.\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 PM and 6:09 AM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 57129 and 4.\nAnswer: 228516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317470?\nAnswer: 2, 5, 53, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -5*v**2 + v + 2. Let o be a(4). Let r = o + 157. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 848 = 3*s, -636 = -3*o - 5*s - 0*s. Let f = o - -114. What are the prime factors of f?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/17782201?\nAnswer: -2\/17782201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 - 46. Calculate the lowest common multiple of 30 and 5 - z - 34\/4*-4.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11 - -16. Suppose -x*o - 3*y = -3515, 2*y + 967 = 4*o - 1867. List the prime factors of o.\nAnswer: 2, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 13*k = 0 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 0.3 (c) 2\/5 (d) -0.2 (e) 10 (f) 46\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1156 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -380532626 and -51.3?\nAnswer: 380532574.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + q)*(-3 + 5 + 7) - 89*q + 179 - 179 + 0*q - 4*q + 5*q.\nAnswer: -79*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 8*o + 12. Let j be m(-9). Is ((-10)\/3)\/(j\/(-36)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21 - (-21 + 12 + -15))*-4*(-5)\/36\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 166\/14) + (66\/(-77))\/(-1)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -122200 - 133020?\nAnswer: -321220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29.3 - -32.3. Let f = -0.05 - 2.95. Let j = -3 + 3.5. Which is the closest to f? (a) 0.3 (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 161\/(-28) - (-1)\/(-4). Let g(c) = -2*c - 3. What is the remainder when 35 is divided by g(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + -27 + 56 + 5 + (7 + -4 - -100)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 1. Suppose -14 = -3*m - 4*j, -m - j + 4 = -v*m. What is the nearest to 0.1 in m, -3, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-8)\/8 - -2)\/1. Suppose -19 = -5*c + 1. Suppose 4*h - 3 = h, -5*v + u = -c*h. Solve -3*w - v = 8 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31244676?\nAnswer: 2, 3, 2603723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l - 6. Let v be x(5). What is the common denominator of 1\/6 and 2\/v - (-365)\/(-100)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -88843*g - 355368. Calculate u(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -6*l + 3*l. Suppose 2*k - l = 2*h - 3*h, 3 = h - 2*k. Does 3 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*u**3 - 42*u + 42*u)*(-8*u - 138 + 8*u - 6*u).\nAnswer: 24*u**4 + 552*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 3*f - 2. Let p = 110 + -113. Let t be c(p). Let h(y) = 23*y - 67. Does 27 divide h(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of 0 - 1\/2*f**2 + 10*f + 1\/2*f**3 + 5\/12*f**4. What is the remainder when 36 is divided by d(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6760177 months in millennia?\nAnswer: 0.000223001475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from pgemb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 5:35 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 6 (b) -23 (c) 1\/7 (d) 3 (e) -9\/2 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4 + 3*g**3 - 30*g**2 + 24*g.\nAnswer: 3*g*(g - 2)*(g - 1)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.35635 + -0.25935. What is the closest to -2\/5 in -1, 0, -2, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 4, 3748 in descending order.\nAnswer: 3748, 4, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 0*g + 0*g - 3*g + 2*g + 2*g + (0 - 2*g + 0)*(4 - 5 + 2) - 2*g + 2*g + g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p + 26. Let q be o(10). Let i be -12*(114\/q + 4). Solve -i - 6 = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -7, 2 in increasing order.\nAnswer: -10, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15619693241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*k**2 - 320963*k + 1477*k**2 + 320963*k.\nAnswer: 1684*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/2 + -3\/14. Let r = -0.5 - -0.1. Which is the nearest to -0.1? (a) -0.1 (b) q (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/24 and 53\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14393884\/7 + -2056268. Suppose z + 46\/7*m**2 + 2*m**3 + 40\/7*m = 0. Calculate m.\nAnswer: -2, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 23*w - 408. What is t(7)?\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -734942.7 rounded to the nearest 10000?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 - (-106)\/((-16324)\/17138)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 5*d - 27. Let b be l(9). Let u(x) = 4*x + 9 + 4 + 4*x**3 - 3*x**2 - 1 - b*x**3. Let h be u(-3). Round h to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - d - 18 = 1, 2*d - 22 = 4*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -8*q + 110. Calculate the greatest common factor of q and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the first derivative of -n**4\/4 + 13*n**3\/3 - 4*n**2 + 6*n + 119. Let y be 188\/16 - 2\/(-8). List the prime factors of a(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-6))\/(2 - (-37)\/(-18)). Let w be (z\/20)\/(5\/(-25)). Sort 5, w, -1, -3 in increasing order.\nAnswer: -3, -1, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*z - 451*z + 4102 = -8550 - 7116 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/23*x**5 + 0*x**4 - 4\/23*x**2 + 0*x - 6\/23*x**3.\nAnswer: 2*x**2*(x - 2)*(x + 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 PM and 5:34 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7622 is divided by 1980.\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-1)*u)**(-1\/7)\/(u**9\/u*u\/u**(3\/4)) assuming u is positive.\nAnswer: u**(-243\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11143974 is divided by 1392987?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 79 + -22. Suppose -95*o + 5*h = -99*o + 730, 4*o - h - 670 = 0. What is the remainder when o is divided by g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 65375 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 + 5. Suppose -11 = -3*y - 29. Let t be 5*2\/(-4)*4. Let r(w) = 2*w**2 - 3. Calculate t*r(g) + y*z(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1149440314?\nAnswer: 2, 11, 569, 91823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from prgrrrrpprrgrp. Give prob of picking 1 r and 1 g.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -540, -2179, -4918, -8763, -13720, -19795, -26994, -35323?\n\"Answer: -t**3 - 544*t**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 1.201?\nAnswer: 0.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 774793.\nAnswer: 29, 26717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/4 (b) -0.5 (c) -0.3 (d) -28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - 4*m - 4. Is 2 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0\/(-2) - -1) + (-644)\/4. Let s be 1*(-4)\/x*-2. Is 0 greater than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*j - 2506 = -5*j + u, j = -4*u - 486. Suppose -3810 = 4*l + 2*s, 2*s + 2041 = -2*l + 133. Let a = j - l. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 82242*w + 1069187. What is p(-13)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 116808 and 173 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 306 and 3264?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-440)\/6 + 4\/(-6). Let t = -29 - p. Is (6\/4)\/(t\/1650) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -3*i**3\/4 - 381*i**2\/4 + 771*i\/4 - 387\/4 = 0.\nAnswer: -129, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 134*w**2 + 790*w + 49. Calculate b(-6).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (1 + (12 - 2) + -4)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-2))\/(u\/(u*u**4))*(u**2)**(-16) assuming u is positive.\nAnswer: u**(-25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggxxgil. Give prob of picking 1 g and 1 l.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5058 or 3628?\nAnswer: 5058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.026 less than -1689.399169?\nAnswer: -1689.425169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 + -27. Suppose -z + 59 = 5*y. Let b(i) = -i**3 - 4*i**2 + i - 5. What is the remainder when b(-5) is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001147758 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -b - 18. Calculate the remainder when b is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -0.489. Let u = 0.245 - r. What is u rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = -4*x + 2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1176 and 441?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/7320 and -19\/36.\nAnswer: 21960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 - -49. What is the third derivative of 0*q**2 + 11*q**2 - i*q**3 - 9*q**3 wrt q?\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, j: 1, g: 6, e: 6}. What is prob of sequence gj?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7 + -29 + 23)*(-2)\/(-28). Let h(a) be the first derivative of 0*a - 4\/21*a**3 + 1\/7*a**2 - 43 + d*a**4. Factor h(q).\nAnswer: 2*q*(q - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 0, 4*u + 5*a + 4 = -4. Let k be 104 + 4*(-1)\/u. Let m be k\/(-22) - (-2)\/(-11). Let f(g) = -g**3 - 4*g**2 + 8*g + 3. Give f(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.13 - 0.57. Let f = j - -1.8. Let g = -4 + 3.8. Which is the nearest to f? (a) 1\/8 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3060*g - 2177*g = -272324 for g.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 13712 divided by -16\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4210 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 3*p + 1 = 3, -2*u + 5*p = -2094 + 2086 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 24\/(-9)*(-96)\/(-832)\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 41*t + 30*t - 5*t**2 + 18*t**2 - 27. List the prime factors of f(-13).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37028335 divided by 5.\nAnswer: -7405667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/58 (b) -524699 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -h - 0*m - 4*m, -4*h - 4*m + 308 = 0. Let z = 115 - h. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-3))\/(361\/(13797420\/392))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1009 is divided by 94?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 115, -277, -1171, -2567, -4465, -6865, -9767?\n\"Answer: -251*q**2 + 361*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3228?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 179567 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 5*((-192)\/(-60))\/8*-1?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64 + 14?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 800*d**2 + 1261*d + 1619*d + 2320 - 245*d**2 + d**3 - 6*d**3 = 0.\nAnswer: -4, -1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 146*j**2 - 422*j - 55. What is k(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -181 + 1269\/7. What is the second smallest value in 0, y, -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2091 + -1483. Suppose -s + 201 = -q, 2*s - f = -s + 4*q. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4.657 (b) 19 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 136 and 13\/3 + 2*17\/51?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/(-2) + (-442)\/(-17) is divided by 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -347*u - 1755 = 22882 for u.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*j**2 + 2*j**3 - 97263*j + 5*j**2 + 97278*j - 4*j**2 to the form q*j + a*j**2 + w + s*j**3 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*v + 0*v - v)*(3*v - v + 0*v) + 1 - 1 + v**2 + 0*v**2 + 3*v**2 - v**2 + 3*v**2 - 3*v**2 + v**2)*(-49*v + 14*v**3 + 49*v).\nAnswer: 28*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**3 + 3*m**2 + 7 + 0*m**2 - 2*m**2 + 6 - 18 as o*m**3 + x + t*m**2 + a*m and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 24. Let f(a) = -23*a**2 + 1. Let m be f(1). Calculate the remainder when m\/(-1 - 2\/(-4)) is divided by y(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 5*q - 5. Let v = -3 - -1. Let b be 3*3\/(v + -1). Let a(d) be the first derivative of -3*d**2 + 6*d - 3. What is b*a(y) - 4*w(y)?\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o - 8. Let s(g) = 4*g - 9. Let n(p) = 5*m(p) - 6*s(p). What is the units digit of n(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) -296 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c5 + 10258?\nAnswer: 10183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36 and 47676.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-26)\/((x**(-3\/19)\/x)\/x)*(x**(-20))**(1\/8) assuming x is positive.\nAnswer: x**(-1001\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) - (-2*sqrt(64))\/sqrt(4))\/(sqrt(8) + -1*sqrt(800) + sqrt(8) - sqrt(8)) - (-5*sqrt(72)\/sqrt(4))\/(2*sqrt(1089) - sqrt(1089)).\nAnswer: 4*sqrt(2)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000051537 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnnnqddddnndndddddd. Give prob of picking 2 d.\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6277.08 rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**3 - 6*f**2 + f. Let s be m(6). Is 11 a factor of 209\/s + 5\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12882 - -12876. Let h = 3.94 + -4. Which is smaller: h or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyy when three letters picked without replacement from jyjyjjyjyjyyyyjjyyjy.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 2)*(1072 - 1072 + 60*k)*(3*k**2 - 2*k**2 - 2*k**2).\nAnswer: 240*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((416\/(-1482))\/16)\/(4\/(-12)*-1)\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9754593.\nAnswer: 3, 43, 75617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add 25.353285 and 41642.\nAnswer: 41667.353285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 780294 divided by 6.\nAnswer: 130049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (0 + -8 + 2)) + (2939 - 2904).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -1, 1\/6, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)\/(g\/g**9)*g\/(g*g**(-1)\/g*g)*(g\/(g\/(g*(g\/((g*g**(-1)*g)\/g))\/g)))\/g assuming g is positive.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.046 - 0.046. Sort y, -13, 4 in decreasing order.\nAnswer: 4, y, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 9 - 19 + w**2.\nAnswer: w**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + -5 + 1 + (-6 - -6).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 22*s + 419, -3*w - 813 + 1664 = s + 829 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 8659*f. Let q(h) = -3*h**2. Calculate t(q(p)).\nAnswer: -25977*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -415 + 406 - (1 + 0 - -2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1715 and 196.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/4 and 339\/(-72) + -2*(-4)\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/21 in 3, 0.1, 5, 0.001, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + -16. Let c be -2 + 1 + (1 - p). Suppose -4*q = -2*h - 18, -3*h - 8 + c = 4*q. Solve -k + 7 = -q*w + 2*k, 4 = -5*w - k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-1))\/((-4*20\/(-30))\/(-6)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 h when four letters picked without replacement from zahhaghhaghhzza?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 AM and 9:03 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(3159) - 2*sqrt(3159)))\/(sqrt(24)\/(sqrt(16)\/(sqrt(2)*2))) + -4.\nAnswer: -4 + 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 9*h - 9. Let d be b(-7). Solve 0 = -d*o - 5 - 10 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(152)*1 + sqrt(152) + sqrt(152)))\/(sqrt(512) + (sqrt(512) - (sqrt(512) + sqrt(512)*-4))))**2.\nAnswer: 171\/1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 99851, 399423, 898705, 1597691, 2496375, 3594751?\nAnswer: 4892813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 743569 or 743807?\nAnswer: 743807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0270806572 to 6 dps.\nAnswer: -0.027081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 941*k**3 - 238*k + 6180159 wrt k?\nAnswer: 2823*k**2 - 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3694386 to the power of 1\/4, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*u**2 - 3760 + 1258 + 1264 + 1238.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k - 5*k + 145 + 9 + 2*k**3 + 6*k**2 - 4*k**2. Let z be s(0). Calculate the highest common divisor of z and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.8*-8\nAnswer: 38.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.7 - -0.4. What is the nearest to 0 in -0.4, y, 3\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 divided by 15.\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06584 to three dps.\nAnswer: -0.066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6530224403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30 - 62)*4958\/(-2144)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of 28*f**5\/5 - 3*f**4\/4 - 445*f**3\/3 + 429. What is the third derivative of o(c) wrt c?\nAnswer: 672*c - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20210.06 weeks to hours.\nAnswer: 3395290.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 303752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -317325*r - 3*a = -317326*r - 99, 6*a - 204 = 4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 55*i = 52*i + 10, 0 = 2*u + 5*i + 2. Calculate the remainder when (11\/(-2))\/(2\/(-4)) is divided by u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 31506 and 78.\nAnswer: 409578","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 16 = 5*u, -4*w - 14 = -3*u + 2. Suppose 5*j = 4*s + 143, u = -4*j + 4*s + s + 109. What is the remainder when j is divided by ((-1)\/1 - 0) + 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 22*b**2 - 18*b + 29. Let g(k) = -k**3 + 21*k**2 + 18*k - 28. Let c(f) = -7*g(f) - 6*l(f). What is c(16)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 877 - 147. Let x = a + -88. Suppose -m + 0*l + 9 = 3*l, x = 4*m + l. Does 15 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2)*a)**(1\/14))**(-25)\/(((a\/((a\/(a\/(a**(-6)\/a)))\/a))\/a)\/a*(a**(-6\/5)\/a)\/a)**49 assuming a is positive.\nAnswer: a**(-12909\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2557 is divided by 31.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -92\/3. Which is the biggest value? (a) 0.1 (b) -4 (c) x (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2873 + 9161 = 547*j for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of y**6\/4 + 3*y**5\/5 - y**3 - 3*y**2\/4 - 5. Determine a, given that r(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -40*c - 3. Let t be d(6). Let y be 2\/(-5) + t\/(-45). Let b = -2 + y. Solve -14 = -b*m + 1 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 45 * -0.181\nAnswer: -8.145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggtggtgtjgtactuja. What is prob of picking 1 c and 2 g?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-1\/10)\/z)**42\/(z**(-6\/7))**(-1\/16))**(2\/85) assuming z is positive.\nAnswer: z**(-12951\/11900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64107?\nAnswer: 3, 17, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 680 + 677 = -3*k, 2*c = -2*k - 6 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9147644 divided by 737\nAnswer: 12412","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 + -9. Let k = 12 - m. Let t = -0.2 + 0.3. Which is the closest to t? (a) -0.5 (b) 2\/23 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l. Let n(z) = 53 + 32 - 125 + 38 + 84*z**2 + 60*z**2. Calculate o(n(s)).\nAnswer: 288*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1454 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2992)\/(-1360))\/(55\/225)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 x when two letters picked without replacement from jjjjjjxjjjjjjxxj?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -116509, -116534, -116559, -116584?\n\"Answer: -25*k - 116484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(98) + -1 + 3)**2.\nAnswer: -14*sqrt(2) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4*2\/4 + 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 - 548*y + 73989. Determine p(241).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6734 and -0.06.\nAnswer: -404.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -5. Suppose m = -k*n + 173, n - 6*n + 185 = -5*m. Suppose -6*b = -4*b - n. Solve 15 = 5*u + 2*v, -9 + b = 2*u + 2*v for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5098 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (87\/(-145))\/(1*-3)*(-28)\/(-4)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 - (1 - ((4 - (2 + 2)) + 11)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -d**2*f*y - 11961643*d**2*f - 381*d*f + 17*f - 1154*y wrt d?\nAnswer: -2*f*y - 23923286*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:05 AM?\nAnswer: 2:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2949 - -2951. Let h = -744 + 9666\/13. Which is the smallest value? (a) o (b) -2\/5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0.9. Let j be (4\/23)\/(3 + -5). Let h = -0.3 - 4.7. Which is the smallest value? (a) h (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 y when two letters picked without replacement from hhhhhyhhy.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 243.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39811 = 422*l + 468*l + 81*l for l.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that 12837 + 3*p**2 - 26*p + 16661 - 8330 - 478*p = 0.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 41*a**2 - 157*a + 136. Let u be t(-5). Suppose 0*j - w - 7 = -4*j, 0 = -2*j + 3*w + 1. Solve 3*o - 5*i = -u, 4*o - j*o - 3*i = -13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 + -14. Suppose 24 = a*m - m. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 285*o - 847*o - 569030 = -8691*o for o.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -34 (b) -3\/4 (c) 3 (d) 3.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -635 - -1906\/3. Let b(g) be the first derivative of c*g**3 - 7 + 0*g + 1\/4*g**4 - 1\/2*g**2. Give b(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -100*z + 11. Let b(a) = 36*a - 4. What is -8*b(x) - 3*j(x)?\nAnswer: 12*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -14550746?\nAnswer: -14550735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1572\/281 or 23\/7?\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -0.24\nAnswer: 0.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i - 79. Let r be g(42). Which is the biggest value? (a) -7\/3 (b) -4 (c) 0.1 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 2*d**2 - d + 1. Determine c(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -k + 4*z, -5*k + 2*z - 6*z = -152. Is (-5511)\/(-7) - (0 - (-8)\/k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 223 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -8166, -16488, -24824, -33180, -41562, -49976, -58428?\n\"Answer: -j**3 - j**2 - 8312*j + 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.98 - 0.02. Let w = 0.15 - -4.25. Let t = 0.6 + w. What is the nearest to 1 in t, q, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 225 a factor of 38700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*v - 46*v - 1020 = 0. Is 14 a factor of -4 + (3279\/17 - 20\/v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 2*i + m, 26*m - 30*m = -3*i + 246. Let b be (-89)\/((-1 - 0)*1). Are i and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3997710?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 234525*j**3 + 4466*j + 50 wrt j.\nAnswer: 1407150*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -8668 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1 - (1 + 3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369098?\nAnswer: 2, 179, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nggnndnarddgnnndarn. What is prob of sequence dgrr?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1508 and 812.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -3\/4, 5, -0.1, -1 in increasing order.\nAnswer: -3, -1, -3\/4, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-880*g + 880*g - 139*g**2)*(-1 - g + g - g**2)*(-2*g + 1 - 1).\nAnswer: -278*g**5 - 278*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -227, -4, -6.\nAnswer: -227, -6, -4, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of 0 + 0*t**4 - 17\/20*t**5 + 7\/6*t**3 + 0*t**2 + 6*t. What is the second derivative of p(q) wrt q?\nAnswer: -102*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6785 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5\/3 + 6*y**4 + 10*y**3\/3 - 50*y**2\/3 - 4*y + 32\/3 = 0. Calculate y.\nAnswer: -8, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54385278*x + x**2 + 54385278*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 53*j*m**3 + 4931*j*m**2 + 18948696*m**3 wrt j.\nAnswer: 53*m**3 + 4931*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n + 2*n. Suppose -90 = -0*q - n*q. Suppose -3*g + 64 = 4*z, -4*g - g = 4*z - 104. Calculate the greatest common divisor of q and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -1aa78?\nAnswer: 1aa75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9470592 a multiple of 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/72 and 91\/2280?\nAnswer: 6840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezmzb. Give prob of sequence ez.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 2 g, and 1 p when four letters picked without replacement from wwwwkpkkpwkgwkgkpp?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 102202377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 215 by -125.\nAnswer: -43\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 176, 378, 610, 884, 1212, 1606, 2078, 2640?\n\"Answer: 2*n**3 + 3*n**2 + 179*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 140*o**2 + 4*o - 140.\nAnswer: -4*(o - 35)*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 178*t - 9786 - 72*t + 9820. Let k(x) = 2*x**2. What is k(n(y))?\nAnswer: 22472*y**2 + 14416*y + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 17 - 18 - 15 - 99*d + 82.\nAnswer: -99*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49793343 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1078 + 1080.529. Let r = h + -2.5291437. What is r rounded to six decimal places?\nAnswer: -0.000144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4889850 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -45464 by -8.\nAnswer: 5683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5914058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 184 divide 327260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**4\/2 + 2*i**3\/3 - 2*i**2 - 6*i - 123. Determine d(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3277000 to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-7)\/(-6) - -3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -240536 - -12777?\nAnswer: -225537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssskkptksskssphs. Give prob of picking 2 p.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -42*m + 52 - 2*m + 23*m - 31*m - 43*m. Let t be s(-4). What is the highest common divisor of 27 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3147\/37823?\nAnswer: -3147\/37823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 less than 20?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 - 68\/24)*-2. Let f = 0.4 + 3.6. Let d be 0\/(-2) - (-2)\/(-8). Which is the nearest to d? (a) 0.4 (b) k (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3*x + x - 2*x**2 + x**2)*(-x + 1010 - 1010 + 112*x**2) in the form w*x**2 + a*x**4 + y*x + b*x**3 + r and give w.\nAnswer: 450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-1710)\/(-912))\/(2\/(-2))\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0\/((-2)\/(-2 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48 - 12 - 8*c**2 + 70 - 10.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 22, -0.1, 0.071, 2, -3\/14?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**5\/30 - h**3\/3 - 5. Let u(x) be the third derivative of z(x). Let j(v) = -3*v**2. Determine u(j(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + -17.2. Let a = h - 2.1. What is the second smallest value in 4, -2\/11, a?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8176220 a multiple of 767?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1.42 * -319\nAnswer: -452.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/238*(-8564022)\/(-79542).\nAnswer: 76\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 504*y + 18949. Determine w(41).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 6841880 to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4 + 140*s**3 + 2448*s**2 - 140*s - 2450 = 0. What is s?\nAnswer: -35, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1438\/784 + (-12 - -10). Let t = -2\/49 - f. What is the closest to 2\/9 in 3\/2, t, 0.1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 3*a - 22 = 0, 137*h = 142*h + 3*a - 62 for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 - (13 + (34 - 61)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 2:54 PM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4834 - -14833. List the prime factors of k.\nAnswer: 3, 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40252.97561 rounded to the nearest 10?\nAnswer: 40250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - -3*sqrt(136))*-5)\/(3*sqrt(128))*2.\nAnswer: -10*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 202447912?\nAnswer: 2, 1249, 20261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 76. Let n = f - -70.99874. What is n rounded to four decimal places?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71 - -322. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2773ml in litres?\nAnswer: 0.0012773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54874?\nAnswer: 2, 27437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3773144?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - r**4 + r**3 - 2*r - 4 - 3*r**4 - 8*r**2 + 2*r**4 in the form j*r**2 + o*r**4 + d*r**3 + a + s*r and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjcciuaiv. Give prob of picking 1 i, 1 a, and 1 j.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -234 - -234. Sort 0.06, u, 1, 2\/9 in increasing order.\nAnswer: u, 0.06, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 136932*v**3 + 4*v**2 + 2*v**2 - 136969*v**3 + (-22 + 22 - 13*v**2)*(3*v - 3*v - v).\nAnswer: -24*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 0 + sqrt(3))**2*-1 + (1*sqrt(363))**2.\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6 - -1.71. Let j = 0.211 + -192.211. Let i = j - -197. What is the smallest value in 4, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*m - 11*m - 4*m - 15*m - 2*m.\nAnswer: -25*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -4478599*c**2. Let z(i) = 2*i. Determine z(o(b)).\nAnswer: -8957198*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17463632.\nAnswer: 2, 1091477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*k + 8970 = -201*k. List the prime factors of k.\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 10*w**2 + 8*w + 24. Let b be j(-9). Which is greater: 35 or b?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -115*d**2. Let l(r) = -28*r**2 - 14*r. Let n(g) = 15*g**2 + 8*g. Let a(b) = -4*l(b) - 7*n(b). Determine z(a(j)).\nAnswer: -5635*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9310 - 19649 = 560*n - 82*n + 25511 for n.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214062231.\nAnswer: 1069, 1135699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**4\/5 + 127662*g**3 + 33947559399*g**2\/5 - 122242237452*g + 2750683026348\/5.\nAnswer: 3*(g - 9)**2*(g + 106394)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-230)\/4*(-12)\/15. Let x = 113 + g. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/9 (b) 5 (c) 3\/44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 11124000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(160\/24) + -3)*(37 + 4160\/(-78))?\nAnswer: 49\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5755140814.\nAnswer: 2, 467, 1931, 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 32*t + 3245. What is m(-100)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 290532 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 6*y + 13*y = -80 + 385, -120 = -2*y + 2*y - 3*y for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110100101 (base 2) in base 12?\nAnswer: -a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 217.62 + 24.98. Let n = 239.842 - i. What is n rounded to 1 decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 198 divide 6035391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -3 - (-1039 - -1082).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25274, 50525, 75776, 101027, 126278?\nAnswer: 151529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -6 - -6 - (4 - (1 - 12))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10907, -21810, -32713?\nAnswer: -43616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 306 and 238?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/4 - 7139\/(-8228).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 717.538 meters in nanometers?\nAnswer: 717538000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -8711 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 230.151 + -230. Let i = l - -0.149. Let q = 31.87 - 32. Which is the third biggest value? (a) q (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 11 + 1. Suppose -9*n = 6*n + n. Solve n = o*r - 2*q + 2, -2*q - 5 - 1 = -r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 11*p - 46. Calculate the remainder when h(-8) is divided by 36.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19206472051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -5026389 and -5026391 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmmm when four letters picked without replacement from mjmmmmmm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + 0*n**2 + n**2 + 2*n**2 + 2 - 2 + (n - 2*n + 2*n)*(n - 2*n + 0*n) - 3*n**2 + n**2 + 4*n**2 + 3*n**2 - n**2 + 0*n**2)*(-7 + 0 + 6).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21 + 37. Let v = j + -37. Let w = 47 + v. Does 13 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2385 - -2391. Let l(s) be the first derivative of 3\/5*s**5 + 10 - 12*s - f*s**2 + 3*s**4 + 3*s**3. Suppose l(k) = 0. What is k?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186 and 40.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) 105 (c) -7 (d) -2 (e) -2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 8:42 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042773306 rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -218 + 152. Let m be (14\/(-28))\/(1\/c). Suppose -3*l = 2*q - m, 20 = -l - 3*l. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8939543 divided by -3.\nAnswer: -8939543\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2395 - -0.1605. What is the nearest to -0.2 in 3, 32, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1598605*b**3*n**2 + 2*b**3*n + 19*b**3 + 5*b**2*n - b*n + 52 wrt n?\nAnswer: -3197210*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 4*a + 4, 5*x + 2*a + a - 32 = 0. Suppose -x*l + 0*l + 60 = 3*m, 30 = 2*l + 2*m. What is the remainder when 44 is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/3)\/(32\/(-16))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 + 106. Let n = 27 - z. Let x = -40 - n. Which is the nearest to x? (a) 4 (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8.3 + 10.945. Let x = r + -0.645. What is the second smallest value in x, 10\/9, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 + -69.191?\nAnswer: -69.791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -38409\/139 or -275?\nAnswer: -275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2. Let h(a) = 10*a**2 + 25*a - 25. Let v(z) = -z + 1. Let f(l) = h(l) + 25*v(l). Determine f(p(n)).\nAnswer: 10*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 1804*s**3 - 1814*s**3 - 99*s**4 - s + 102*s**4 + 6*s**2 to the form x*s**4 + d*s**2 + t*s + n*s**3 + w and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-60))\/(153171\/(-2025) + 76)?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1. Suppose 4*p - 12 = 10*p. Let x(a) = a - 2. What is p*t(b) - x(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 35*q**2. Let o(p) = -p - 1. Let y(j) = 1. Let x(w) = 3*o(w) + 3*y(w). Calculate g(x(f)).\nAnswer: 315*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o = -8554 + 3114. Calculate the highest common divisor of 2760 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**2 - 463*l - 2115. Give j(236).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -14*a + 2. Let p(n) = -29*n + 5. Let c(l) = 2*p(l) - 5*u(l). Suppose 7*m - 9 = 75. Let k(j) = -12 + j**2 + m. Calculate k(c(w)).\nAnswer: 144*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20422017 divided by 21\nAnswer: -972477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -978793.4851 rounded to the nearest ten?\nAnswer: -978790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 12*w + 161. Determine f(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.0843651 rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88 and 594?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5020 - 5019.4. Let n = 1 + -1.2. Which is the third smallest value? (a) n (b) d (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1104, -1039, -974, -909, -844?\n\"Answer: 65*n - 1169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 158 - 132 = -4*i, -i - 5*b = 38 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -100.4803 take away 701?\nAnswer: -801.4803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1491959661 to the power of 1\/3, to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 5:45 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-6\/7)\/t)\/t*t*t)**46*t**12\/((t**(-15)\/t)\/t))**(12\/11) assuming t is positive.\nAnswer: t**(2988\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*i**2 + 242*i**2 + 245*i**2 - 726*i**2 + 2864.\nAnswer: 3*i**2 + 2864","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 317 + -338. Let y(f) = 217*f + 70. Let k(o) = 5*o. Let a(u) = d*k(u) + y(u). What is the derivative of a(n) wrt n?\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1777921 a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**3 - 2*n**3 - n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1245338.\nAnswer: 2, 622669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -902449 - -902449. Solve -1\/4*t**3 + t**2 - t + d = 0 for t.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 636\/265*(-25)\/(-15). Solve 22*l - 18*l - 22 = -2*p, -5*p - 1 = -g*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.1 - -4. Let b be (-2 + 1)*-1*2. Suppose 3*q - b*j - 5 = 0, -5*q = -j + 2 - 1. What is the closest to x in -0.4, 0.5, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -8. Suppose 2*y - 8 = -3*m + 3*y, 2*y = 2*m - 8. Let k(d) = 2 - 2 - 3*d**m. Calculate k(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.95665 to 1 dp.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 5*l - 6*l - 9, 3*l + 14 = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 67904 = -3*a. Suppose v = -15*v + a. What are the prime factors of v?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2. Let y(o) = -191020*o**2. Determine i(y(x)).\nAnswer: 36488640400*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 27774.12ml?\nAnswer: 27.77412","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c. Let r be 2 - 0\/(-4 - -2). Suppose 1 + 3 = r*d. Let o(a) = 0*a**d + 0*a**2 + 3*a**2 + 0*a**2. Determine o(f(j)).\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 + -0.3. Let m = -61.5 - -61. Which is the nearest to -0.2? (a) -0.2 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -443*q = -444*q + 6. What is the hundreds digit of (3\/q*6 - 3) + 731?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0106173 to three decimal places.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 6 - 4*d + 4*d - 3*d**2 - 3*d = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 4 = 4*a, -5*k + 1213 - 1183 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*i + 6*i + 8 + 138*i**2 + 0 - 8 as l + h*i**2 + t*i and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((584\/12)\/2)\/(8\/(-24)))\/(516\/(-516)).\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 36\/2*(7 + (-95)\/15). Let r(d) = -d**3 + 0*d**3 + 1 - 3*d - 5 - 13 + 13*d**2. What are the prime factors of r(a)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 266, 111, -5 in decreasing order.\nAnswer: 266, 111, -5, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.459 - -0.039. Let y = j + -34.58. Let d = y + 33. Sort -0.5, -5, d.\nAnswer: -5, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 98 and 6292370.\nAnswer: 44046590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 7*a**2 + 12*a + 7. Let r(b) = 8*b**2 + 4*b - 1. Calculate the remainder when r(3) is divided by h(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) 361 (c) -1\/31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124 + 364 - 140)*(0*g**3 + 3*g**3 - g**3) - 4*g**3 - 3 + 3.\nAnswer: 196*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13116 - 195 = -138*p + 7113 for p.\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 13 = g, -3*u + 47*g = 44*g + 6 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 3792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -4*o, -4 = 37*o - 33*o - y for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -114, -5700, 4 in increasing order.\nAnswer: -5700, -114, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*h**2 - 3800*h - 7620 = 0. What is h?\nAnswer: -2, 762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 236, 1\/5, -28, -1.\nAnswer: -28, -1, 1\/5, 236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 10:59 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -91\/11, -4\/5, -653.\nAnswer: -653, -91\/11, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 115\/7, 0 in descending order.\nAnswer: 115\/7, 1\/8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -203 - -216.9. Let h = 14 - w. Let m = 9\/13 + -107\/117. Which is smaller: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477661 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 3*r = -1627603, 0 = -7*t + 8*t - 4*r - 406896. Round t to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -23 - (0 - 7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (104 + 65898\/(-630))\/((-1)\/(10\/6))*-17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 0*v + 2 = 0. Let l be 225\/21 + v\/(-7). Let m = l + -9. What is the highest common divisor of 2 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -867027\/40 and -21677 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**2 - 481100*h - 11572860500.\nAnswer: -5*(h + 48110)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -458614 take away 1?\nAnswer: -458615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -5*s + i - 5, 3*s = 4*i - 3. Let y be (-2)\/11 - (-7)\/(308\/16). Is y less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(76) + -2 + sqrt(76) + (sqrt(76) + -1)*-1)*2 + -1.\nAnswer: -3 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -8 (c) -0.3 (d) -9 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/1074 and -97\/294.\nAnswer: 52626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 10:18 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10466 + 5?\nAnswer: 10504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9 + -1)\/(2\/30). Suppose -2*n + g = 3*n. Calculate the highest common divisor of 36 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 297*d - 9622. Determine f(-260).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-nine fifths of a centimeter?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1376*5584.8.\nAnswer: 7684684.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -91\/5 - -1011\/55. Sort -4, z, 20 in descending order.\nAnswer: 20, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27084 by 183.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -4*r**3 - 7*r**2 - 9. Let l(z) = -z**3 - 2*z**2 - 3. Let s be 28*(1\/5)\/(32\/40). What is s*l(t) - 2*c(t)?\nAnswer: t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.2, -2, -0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*n - 8. Which is the nearest to n? (a) 0 (b) 3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/1035*391)\/((-4)\/32)\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -295\/1382 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(21)\/(1*sqrt(567)))**2.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 42. Let p(b) = 2*b**2 - 2*b - 4. Let z be (-2 + 1)\/((-1)\/(-3)). Calculate the remainder when p(z) is divided by l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/49)*b**25)\/((b\/(b\/(b\/b**(1\/22)*b)))\/((b*b*b*b*b**(12\/13)*b)\/b*b*b)) assuming b is positive.\nAnswer: b**(434565\/14014)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 2*v + 5 = 3*n, n - 2*v = 5 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 10*r. Let y(d) = -14*d. Calculate w(y(f)).\nAnswer: -140*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17245 rounded to three decimal places?\nAnswer: 0.172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2496 and 9152?\nAnswer: 27456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-3))\/((18\/(-8))\/(-9))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**3 - 7*f + 5. Let m(n) = 2*n**3 - 4*n + 3. Suppose 0 = -l + 3*i + 7, 0 = -3*l - 4*i - 20 - 11. Calculate l*m(d) + 3*h(d).\nAnswer: 2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 1:09 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1631 and 3073270?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/80 and -23\/7120?\nAnswer: 7120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 41662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(-1002 - 258 - 386)*(-4*d + 5*d + 0*d) in the form u*d + a and give u.\nAnswer: -3292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 21 = 5. What is the common denominator of ((-24)\/(-2))\/(o - 105\/20) and -17\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40566 divided by 6761?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.2, 35028, 4 in descending order.\nAnswer: 35028, 4, 0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5985 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5817?\nAnswer: 3, 7, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -13 + (-385)\/(-26 + 15). Let x(r) = -6*r + 6. Let i be x(4). Let b = 25 + i. Solve -b = 3*h - f for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.129?\nAnswer: -0.0516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (58 - (-1 + 27)) + -25 + -34?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 (base 13) in base 3?\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4*h = -17, -h + 0 = -5*q - 10. What is the tens digit of (146\/(-6) - 1)*q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 115, 4, 2.\nAnswer: 2, 4, 115","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0*q = 2*t - 48, -2*q - 8 = 0. Is 17 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 8*h + 21. Let k be p(10). Let c be (k - 0)\/(-3*1\/(-9)). Solve 4*v + 3 = c*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*a**2 + 3515*a - 3515*a.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/85 + 93\/680. Let a = -96 + 89. What is the third smallest value in x, -2\/3, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8764584 divided by -4?\nAnswer: -2191146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 + i**2 + 71. Let v(p) be the third derivative of p**5\/60 - p**4\/4 - 67*p**3\/6 - 78*p**2. Calculate the remainder when a(0) is divided by v(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7330?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 5. Let s(b) = -3*b**2 - 11. Let l(r) be the second derivative of 15*r + 1\/2*r**3 - 7*r**2 + 0. Let w be l(3). Calculate w*y(t) + 2*s(t).\nAnswer: -t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-6))\/((-968)\/(-377520))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14952 and 466182.\nAnswer: 13053096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 96 (b) 4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1266 (b) -244\/7 (c) 0 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 16) to base 5\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/18489812 and 26\/243287?\nAnswer: 18489812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -789 - -1284.4. What is h rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18983 and 269003.\nAnswer: 11029123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -5*x**4\/24 - 879*x**2. Calculate g(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*q - 30 = 0, q = -5*y - 3*q + 22. Let g = 227821\/12 + -18973. Find the common denominator of ((-9)\/y - -1)*-25 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9320 smaller than 9320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 48*v + 73. Give r(12).\nAnswer: -647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.513\nAnswer: -2.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(-30)\/(-9)*(-2)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaa when three letters picked without replacement from {a: 2, x: 4, q: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 - j**2 + j + 1. Let r be g(-2). Let i(z) = -z + r*z + 0*z - 3*z. Suppose 4*l + p + 11 = 0, 3 - 11 = l + 2*p. Calculate i(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 + 6*b**2 + 7*b. Let q be n(7). Let x(f) be the third derivative of -1\/15*f**5 + 0*f**3 + 2*f**2 + q*f**4 + 0*f + 1\/20*f**6 + 0. Factor x(g).\nAnswer: 2*g**2*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -688742*x**2 - 422119*x wrt x?\nAnswer: -1377484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 295313, 590267, 885219, 1180169?\nAnswer: 1475117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-10) + 2\/5 + 44. What is the greatest common factor of g and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 5*a**2 - 4*a. Let w be b(-4). Suppose -13*l = -4*l - 18. Let 1\/2*h**3 + w*h**l - 1\/4*h**4 - 1\/2*h + 1\/4 = 0. What is h?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/3 + 244696159*c**2\/3 + 14969052434990240*c\/3 - 14969052679686400\/3.\nAnswer: (c - 1)*(c + 122348080)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477843180.\nAnswer: 2, 3, 5, 7964053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3197 divided by 23\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 0.5, -8.\nAnswer: -8, 0.5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 7:03 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1256*h**3 + 627*h**3 + 628*h**3 + 278*h**2)*(-3*h - 2*h + 3*h) as s*h + y*h**3 + p*h**2 + c*h**4 + b and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -8383*h - 2. Let g be k(2). Let o = -41880 + 13755. Let w be o\/(-6)*g\/6. What is w rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15184972 is divided by 3036993?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -20141526 + 5?\nAnswer: -20141521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 0*g**2 + 6 - 2\/3*g**3 - g. Let o(b) = -18*b. Determine c(o(y)).\nAnswer: 72*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (2\/11)\/(396\/5808)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**5 + 3292*f**4 + 1253998*f**3 - 1257292*f**2 = 0?\nAnswer: -1046, -601, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**4\/42 - 25*i**3\/21 - 46*i**2\/7 - 133*i. Factor q(v).\nAnswer: -2*(v + 2)*(v + 23)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a - 204 = 41*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1100.9707 - -2.0707. What is a rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 23*x - 75. Calculate the remainder when b(-12) is divided by 138.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 2:04 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1186*y**3 - 2*y**2 - 402*y.\nAnswer: 7116*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0\/(-3) - (-198)\/16 and 57\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 3*d - 8. Let t be v(5). Let u(m) = -m**3 - m**2 + 2*m + 2. Let c be u(-2). What is the first derivative of 3*q**c - 4*q**2 + 1 + t wrt q?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of -o**2 - 1\/60*o**5 + 0*o**3 + 1\/12*o**4 + 0*o + 0. Find the second derivative of b(s) wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -47 - -49. Let z = -53 + 94. Let i = 45 - z. Solve i*s + 0*q - q - 1 = 0, m*s - 3*q - 13 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u + 3. Let w be p(2). Let s(i) be the first derivative of i**2\/2 + 4*i - 1. Let j be s(w). Which is bigger: 1\/2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -615\/29. Which is the third smallest value? (a) 0.5 (b) 2\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uujuuuuuuuuu. What is prob of sequence juuu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/24*(-3)\/(-2). Let j = 50.71 + 1.29. Let d = 51.8 - j. Which is the third biggest value? (a) d (b) s (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7383?\nAnswer: 3, 23, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 - ((-24)\/(-30) + 39\/(-5)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00582235032 to 6 decimal places.\nAnswer: 0.005822","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - -11. Let h be j\/(-76) + (-2)\/8. What is the closest to 1\/3 in 2\/5, h, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -0*b + 5. Let h be 6 - 4\/(-80)*-124. What is the second biggest value in b, 1\/5, h?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21 and 83478906?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 88390058, 88390060, 88390062, 88390064, 88390066?\nAnswer: 88390068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8 by -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*c**3*t*v**2 - 26*c**3*t*v + c**3*t + 447*c**3*v**2 + 29*c**2*t*v - c*t*v wrt v.\nAnswer: -62*c**3*t + 894*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eoesessllesbbqes. What is prob of picking 1 l and 2 e?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 16, r: 2}. Give prob of picking 1 o and 2 r.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769136309 to the power of 1\/3, to the nearest integer?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 - ((20 - 29) + 31)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*f**5 + 29*f**5 + 138*f**5 + (0 - 2 + 3)*(-2*f**5 + 0*f + 0*f).\nAnswer: 141*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4828 + -7649. Let r = -2827.636 - l. Round r to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 120 + -108. Suppose p = 4*f - 12. Let z = -65 + 65. Solve -4*h + 6*h - f = z for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 119.8042 - 0.0042. Let v = x - 9.8. Let l = 110.00195 - v. What is l rounded to four dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 91\/(-35))\/(165\/550).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/15 + (308\/(-16) + 17)\/(15\/(-20)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 92 + -1 + 22 + (11 + -10 - 17) + -9.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/11, -5, -0.5, -4\/3, -1?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 6962878.19 to the nearest 10000.\nAnswer: 6960000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 4*w**2 + 2*w - 3. Let x be i(-3). Suppose x*q - 4*b = -q - 9, -15 = -5*b. Suppose q*d = d + 22. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 516.1 rounded to the nearest ten?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1693395 divided by 33.\nAnswer: 51315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5216826 + 4*w**2 + 5216681 - 10433507.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 1 + (-30 - -39 - 9).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 200.718 to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-170)\/17 + 238 + -4 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 5. Let z be f(4). What is the units digit of z - 1 - -2 - -7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291761976719 - 71?\nAnswer: 291761976648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4\/7, 41, -2\/509 in decreasing order.\nAnswer: 41, 2, -2\/509, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccc when three letters picked without replacement from pcpcpcpcpcpcpccpcppp.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12142550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in 5, -5, 7\/4, -1\/5, 3\/169?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1229 - -219a19?\nAnswer: 2187a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 154\/11*(2\/4)\/(-1)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 8:31 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 3884.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14142448?\nAnswer: 2, 31, 28513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 4*k**2 - 2*k - 2. Let w(v) be the second derivative of v**5\/20 - 19*v**4\/12 + 11*v**3\/6 + 11*v**2\/2 + 49*v - 16. Calculate 2*w(y) + 11*z(y).\nAnswer: 2*y**3 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 37 = 2*w, -w + 0 = -4*q + 41. Suppose 0 = -5*k + 4*p - 15, 12 = -k + 5*p - 12. Calculate the greatest common factor of k and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**3 - 3*o**2 - 4*o - 7. Let y be k(5). Suppose -y = -5*l - z, 5*l + 4*z = -0*l + 282. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*h - 28, -5*h = 4*k - 7*k - 14. Sort k, 2, 0.25 in descending order.\nAnswer: 2, 0.25, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n + 1 - 1 + (-90 - 14 - 53)*(3*n + 2*n - 4*n) - 5*n + 3*n + 3*n to x + t*n and give t.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a3 - -3d?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9555)\/115 + -15 - (8 - 372\/46).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3115 to the power of 1\/2, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1188 + -1188. Solve -12*l - 4 + 64 = o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.003 and 0.167.\nAnswer: -0.000501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 143014 to the power of 1\/2, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 9:10 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95596 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + -3 + (-289)\/153 and (2\/(-6))\/((-2)\/(-13))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 666544289 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 7*l**2 + 8*l. Let i be q(6). Factor -16 + 2*h**3 + 7 - i*h**2 + 24*h - 7.\nAnswer: 2*(h - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 5*s + 1. Let m be ((-6)\/4)\/(-3)*(22 - 22). Let g = -4 - m. Determine z(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2434 + 911 + 878)*((5 - 4 + 1)*(-6*q + 2*q + 2*q) - q - q + 4*q) to h*q + a and give h.\nAnswer: 1290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8338, -38 in decreasing order.\nAnswer: -3, -38, -8338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18812200 and 752488.\nAnswer: 18812200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -22 (b) -0.2 (c) 6\/5 (d) -14 (e) -0.1633\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-8)\/4 - -40. Suppose -y*u = -50*u + 8. Solve 2*x + 11 = -p, 0 = -u*x - 6 - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-3) - 6\/(-9). Suppose 10 = q - y*w, 0*w - 50 = -5*q + 4*w. Solve -m = m - q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*m + 28 = x + 137*m, 23*x = -7*m + 3*m + 744 for x.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8193 is divided by 7910.\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 163, 145, 115, 73, 19, -47, -125?\n\"Answer: -6*f**2 + 169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2051196, -2051184, -2051172, -2051160, -2051148?\nAnswer: -2051136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -3*o + 6. Let q(p) = -2*p + 5. Let i = 3187 + -3190. What is i*k(w) + 4*q(w)?\nAnswer: w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70\/210)\/(2\/(-30))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2278 and 24.\nAnswer: 27336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + j = 5, -t - 2*j - 5 = -5*j. Let l be -1*(12 - (3 + 0)). Let o = -10 - l. Is o equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -130?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000073692356 rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -193aa0 (base 11) to base 15.\nAnswer: -5d508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 639 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 102379300 to the nearest one million.\nAnswer: 102000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**3\/7 - 678946*y**2\/7 - 57618582480*y\/7 + 57623335200 = 0. Calculate y.\nAnswer: -169740, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 8:33 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/91153 or 0?\nAnswer: -4\/91153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86 + 89. Solve u - 2*f + 23 = 6*u, 0 = u - d*f + 9 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, s: 4, y: 1, p: 7}. What is prob of sequence sprr?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**4 + 1611238*s**2 + 2688350 with respect to s.\nAnswer: -4*s**3 + 3222476*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 72022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 - 1 + 4*j - 4*j + (2 + 2 + 5*j**2 - 7)*(-5 + 46 - 7).\nAnswer: 169*j**2 - 103","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18535749.\nAnswer: 3, 149, 41467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20 - 14. Let x = -2 + p. Suppose 0 = -x*u + 10083507 + 15916493. Round u to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9389380 and 5096?\nAnswer: 18778760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/(-220)*-4)\/((-1)\/4)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/6 and -85\/5358.\nAnswer: 5358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*k + 105 = 0, u - 5*k = 4 + 11. Suppose u = -11*t + 21*t. Solve 4*p - t - 9 = -4*m, -3*m = -p - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iii when three letters picked without replacement from inniiiiiniininnninn.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -1\/2, 6, -2\/7, 2\/339, 1\/10, 1\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 - 3*l**2 + 2*l + 7. Let q be g(-2). Which is greater: -9\/22 or q?\nAnswer: -9\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.011 + -0.299. Let i = j + -0.09. What is the third biggest value in 0.02, 0.1, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48*-241\nAnswer: 11568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -3 - (1 + -4)) + 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 2. Let d = 10 - y. Let c(q) = q**3 + 3*q**2 - 3*q + 5. Let l be c(-4). Put l, 0, d in descending order.\nAnswer: d, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 3, -1 in increasing order.\nAnswer: -1, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -430 + 307 - 46*i - 2*i.\nAnswer: -48*i - 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -6a013 (base 12) in base 7?\nAnswer: -1130103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1900275 and 11694.\nAnswer: 3800550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -4272230 <= -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -381.7 + 382. Let v = 0.4 + 0. Let x(k) = k**2 - 2*k - 2. Let d be x(-2). Which is the smallest value? (a) v (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 0 - 1 + 6*a + 9*a. Calculate the remainder when s(2) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188594099?\nAnswer: 188594099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-22)\/(-3))\/(3\/(-18)). Let t be 2\/(-3) + u\/(-12). Solve -4*x - 4*o = x + 23, 0 = -3*x - t*o - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - 1.9. Let t = -2\/2479 - -7589\/188404. Let h = 67\/228 + t. Which is the closest to h? (a) -0.1 (b) o (c) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20\/183, 1\/31, -0.2, -5, -0.1 in decreasing order.\nAnswer: 1\/31, -0.1, -20\/183, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/7, 1, 25, 35, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501622841.\nAnswer: 501622841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -116, -179, -240, -299, -356, -411?\nAnswer: -464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b + 58. Let t be n(0). Differentiate t*k - 58*k - 2*k**4 - 5 wrt k.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2292297.\nAnswer: 3, 7, 17, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.98815m in micrometers?\nAnswer: 58988150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 105137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 + 7*s**2 - 2*s**2 + s**2 as i + j*s**2 + c*s and give j.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770508499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -736 + 735. Let q(n) = -4*n**2 - 6*n - 1. Let h(v) = -v**2 - v - 1. Give i*q(k) + 3*h(k).\nAnswer: k**2 + 3*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1929.\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 10. Let m be t(-8). Let g(b) = -b**3 - b**2 + b - 2. Let q be g(m). Suppose 2*p**5 + 2*p + 13*p**3 - 17*p**3 + q*p**5 = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9185, -9193, -9225, -9293, -9409, -9585, -9833?\n\"Answer: -2*s**3 + 6*s - 9189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = d + 3. Solve -5*c = d - 14 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 8*q**2 - 12. Let p(x) = x**3 + 8*x**2 - x - 11. Let w(n) = 3*g(n) - 4*p(n). Factor w(u).\nAnswer: -4*(u - 1)*(u + 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:37 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 3*r**2 - 106*r + 2189. Calculate the remainder when m(47) is divided by 320.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 times -9438\nAnswer: -56628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156822*t - 37099*t + 1 - 1.\nAnswer: -193921*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (130\/(-30) + 5)\/((-20)\/(-18)). Factor 6*i**3 - k - 9\/5*i - 63\/5*i**4 + 18\/5*i**2 + 27\/5*i**5.\nAnswer: 3*(i - 1)**3*(3*i + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 e when two letters picked without replacement from {b: 1, e: 1, w: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-5) + 444\/20. Let d = b + -23. Let y = 3 + d. Solve -3*i + y*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + -2 + 15\/3. Which is the smallest value? (a) 2 (b) -4 (c) f (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*r = -14*r + 3*r + 270 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.418 + -0.012. Let q = 0.4 + p. What is q rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, w: 3, x: 1, r: 1, h: 3, v: 2}. What is prob of sequence hdw?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 2:26 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 2*v**3 - 5 + 5*v - 4*v - 5*v + v**2. Let d be q(-1). Solve -3*y - d*u - 15 = -6*y, 5*u = y - 13 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {p: 1, m: 4, v: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 11*o**2 - 4. Let x be l(11). Let c = 13 + x. Let y(d) = d**3 - 10*d**2 + 12*d - 4. Does 23 divide y(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -12444*q + 2225. What are the prime factors of z(-4)?\nAnswer: 149, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + 127 + 131. Suppose 60 = 7*f - q. Let n = f - -35. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184 = 3*u + 721. Let p = -227 - -555. Let m = u + p. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 28035\/150 + (-1)\/(-10).\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21948 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n**3 - 1618*n**2 - 58999*n + 505. Give r(-500).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m - 2*m**3 - 2*m**3 - m - 2*m**2 + 11*m - 2. Suppose 4*t + 12 = -2*t. Let w(n) = -5*n**3 - 3*n**2 + 6*n - 3. Give t*w(i) + 3*p(i).\nAnswer: -2*i**3 + 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860700 rounded to the nearest one hundred thousand?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/sqrt(5)*1 - (1*sqrt(1377) + sqrt(1377)))*5.\nAnswer: -85*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/20)\/((-5)\/(-75)*27)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*w - 33 = 357. Suppose 0 = -q - 0*q. Suppose -2*n + 446 = 5*h, 4*h + q*h = -2*n + 356. What is the greatest common divisor of h and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 - 17*k**2 + 18*k + 11. Let h = 27 + -14. Suppose -301 = h*q - 67. What is the tens digit of t(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/14630622 and 17\/15?\nAnswer: 73153110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1576247, -3152493, -4728739, -6304985, -7881231, -9457477?\nAnswer: -11033723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100111011100100101110 (base 2) in base 14?\nAnswer: -643486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 10:36 PM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1969, 18, -296 in decreasing order.\nAnswer: 18, -296, -1969","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -442*h + 2659 = -2645 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*z - 7 + 1 + 6 + 5*z**2 to the form d + f*z**2 + c*z and give c.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.1779 - -3.8221. Sort 10, -77, v in decreasing order.\nAnswer: 10, v, -77","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of -s**6\/180 - 28*s**5\/45 - 103*s**4\/12 - 50*s**3 + 1318*s**2. Factor l(j).\nAnswer: -2*(j + 3)**2*(j + 50)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*r - 30 = -66*r. Suppose -348 - 732 = -r*m. Is 4 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(34)*5 + sqrt(544)*-1)\/((sqrt(2) + sqrt(20)\/(sqrt(10) - sqrt(360)))*1).\nAnswer: -35*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6827, 13725, 20675, 27695, 34803?\nAnswer: 42017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*4\/(-14))\/(-5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 105\/28*(-48)\/(-15)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, o: 2, q: 1}. What is prob of picking 1 o and 1 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -802*i + 179*i - 7575 + 440 - 13424 for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l - 6. Let z be i(-11). Solve -1 = f - 2, 0 = g - 3*f + z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -95, -0.5, -1, 2\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (11 - 7) + 120\/30. Solve -m*x = -13*x + 8*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 5*n + 42 = 0. Let a = -29 + n. Suppose 86 = -6*c + 110. What is the remainder when a is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.89486 to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.09, -1, -0.04, -0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1036511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 1873448*b + 219362963044.\nAnswer: 4*(b + 234181)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3194 is divided by 2846?\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380332602.\nAnswer: 2, 3, 13, 17, 67, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 + 9 - 2028547*a + 5.\nAnswer: -2028547*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -167 - -69. Let k = u - -98. What is the smallest value in 0.4, 10, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 54*t**2 - 47*t**2 + 155*t**2 - 60*t - 44*t**2 to z*t**2 + w + n*t and give n.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 1. Let x(r) = -2*r - 1. Let i = 0 - 1. Let d(v) = i*q(v) - x(v). Let k(y) = 0 + 0 - y. Calculate d(k(s)).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/5))**(-30)\/(o**8*o\/(o\/(o\/(o**(5\/2)\/o)))) assuming o is positive.\nAnswer: o**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + 6*-2*sqrt(77))\/(3*sqrt(539))*-5.\nAnswer: 55*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*l + 7374 = 162*l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 11397?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5470 is divided by 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -2*x - 3. Determine h(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -30. Suppose -4*i + 6*i = r. Solve 4*p - 3*q + 6*q + i = 0, 2*p + 5 = -q for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*f**2\/3 + 980\/3 = 0. What is f?\nAnswer: -14, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 2553*v**5\/20 + v**4\/6 - 951*v**2\/2 - 4078*v. Find the third derivative of p(m) wrt m.\nAnswer: 15318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -5*f + 10. Let x(r) = r**2. Let g be x(0). Suppose 3*s - 6 = g, 0*s - 6 = -f*n - s. Calculate the least common multiple of 11 and n.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -216*i - 1510. Calculate p(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 12) in base 15?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**3 - 24*a**2 + 192*a - 601. Factor l(y).\nAnswer: 3*(y - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11742300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 846, 5362, 12890, 23430, 36982, 53546, 73122?\nAnswer: 95710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccu when three letters picked without replacement from {c: 2, u: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89216833.\nAnswer: 17, 79, 66431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 102, 335, 716, 1239, 1898, 2687, 3600?\nAnswer: 4631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 62*c**3 - 5*c**2 - 13*c - 3. Let o(i) = 29*i**3 - 2*i**2 - 6*i - 1. Let p(y) = 7*o(y) - 3*u(y). Calculate p(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(-12))\/((g\/g**(-1\/20))\/g*g*g))**(-43) assuming g is positive.\nAnswer: g**(-9417\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 25, 55, 95, 145?\n\"Answer: 5*o**2 + 15*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -18. Let n = 0.39 - 6.39. Sort n, -2, o, -1.\nAnswer: n, -2, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(-2))\/(4\/8). Let l(a) = -429*a**2 - 5*a - 3. Let i be l(-1). Let g = 1280\/3 + i. Which is greater: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 0, -432 = -9*u + 5*u + 4*s. Suppose 15*c = 9*c + 144. Calculate the highest common factor of u and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-2 + (4 - 2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 99443?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 595 a factor of 1032325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 147, 595, 1335, 2367, 3691, 5307?\nAnswer: 7215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 32.6470451244 and -70.\nAnswer: -37.3529548756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 2:24 AM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**3 + 1 - 1 + 151*b**2 - 149*b**2 wrt b?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - 2*n**2 + 14*n + 50. What is m(0)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.355 + -0.355. What is the nearest to -2\/7 in s, -4, -0.27?\nAnswer: -0.27","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*i + i - 6*i)*(36*i - 54*i - 23*i + (-3 + i + 3)*(-1 + 1 + 1)).\nAnswer: 80*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 4:41 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (6*(-1048)\/364)\/(31\/(-1519)). Let a = 262 - 1108. Let g = y + a. Are 0 and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(168))\/sqrt(8))\/(sqrt(7) + 4*sqrt(7)*-2) + 5)**2.\nAnswer: -10*sqrt(3)\/7 + 1228\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 19 (c) -2\/37 (d) 1\/18 (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 909869.90689 - 909862. Let g = s - 0.19069. Let z = g + -7.7. Round z to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5386364?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1126.3 to the nearest 100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -21\/59356 and 24\/22933.\nAnswer: 1009052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*t + 113 - 42 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -36*i. Let q(m) = -5*m + 8. Determine q(d(o)).\nAnswer: 180*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 10 + 10. Suppose -p*d = -2*n - 2*n - 12800020, 0 = -3*n + d - 9600004. What is n rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.74 + 0.26. Let x = h - 2.8. Let p = x + 5.6. What is p rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -630 = -40618*a + 40555*a for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fdfffjfffffffff. What is prob of sequence fjj?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 162622.89 to the nearest ten.\nAnswer: 162620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37730 and 9436.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -3. Let g(w) = -w**2 + 2 + p*w + 0 - 8*w**2 + 8*w**2. Suppose 0 = -5*c + 5, a - 9 = -2*c - 2. Give g(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4952?\nAnswer: 2, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5122056553 - -6?\nAnswer: 5122056562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(-3*w + 2*w + 3*w) + (1 + 2*w - 1)*(-2 - 1 + 1).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -2*l, 38*f - 30 = -40*f + 74*f + 2*l for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 1. Let d = a + 7. What is the common denominator of 260\/8*d\/(-50) and -11\/14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 434614.\nAnswer: 2, 217307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (115\/((-13685)\/204))\/(6\/(-28)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-590)\/3 - 12\/(-18). Let o = -112 - d. What is the units digit of o\/15 + (-2)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-1 + -1 + sqrt(7))**2 - (sqrt(7) - (sqrt(112) + sqrt(7) + sqrt(7))*4) - (-4*sqrt(84))\/(sqrt(12)*3)) + 5.\nAnswer: 20 + 61*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15265468 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 220*q. Let g(c) be the second derivative of -7*c**3\/6 - 9*c. Let u(v) = 6*a(v) + 187*g(v). Let l(i) = -12*i**2. Give l(u(p)).\nAnswer: -1452*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5210)\/10*((-4)\/(-2) + -3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(605)) - sqrt(605))**2 + 6*(sqrt(5) - 3*sqrt(605))**2.\nAnswer: -440*sqrt(5) + 45861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4241 (base 11) in base 4?\nAnswer: 1113223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.15394699 to 2 dps.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-5)*(-40)\/16. What is the third derivative of -67*i**2 + 5*i**5 - 3*i**6 - 67*i**2 + 97*i**2 - r*i**6 wrt i?\nAnswer: -840*i**3 + 300*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j + 6. Let i be l(4). Solve i*y + 2*y + 8 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40375748 to the power of 1\/4, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 - -1 - 10\/5. Suppose -p - f*t + 1169 = 2*p, -2*p + 776 = 2*t. Is 38 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -649, -1743, -3275, -5245?\nAnswer: -7653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -e (base 16) to base 12\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*t - 363, 344 = -2*d + 332. What is the remainder when t is divided by 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 41*v**2 - 515*v + 265. Give s(51).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/5 of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 divided by 626045?\nAnswer: -9\/89435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23737 + 6623 = 126*u + 426*u for u.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.5798 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 0\/(-3 - 1 - -1). Solve -l*r + 6 = -4*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2232932798.\nAnswer: 2, 109, 173, 59207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 40308451082 minus 3.943?\nAnswer: 40308451078.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -2*r - 5*f, r - 4*f = -2*r + 1. Let o = r - -2. What is the derivative of o - 2*u - 3 + 0 wrt u?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*m + 560 + 580 for m.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 75234 + -756?\nAnswer: 74367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -245315971 to the nearest one million.\nAnswer: -245000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -10. Suppose 3 = -3*m + 9. Suppose m*a = 18 + 6. What is the remainder when a is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 24. Suppose b - m = -b. Does 3 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - 7*k + 7. Let v = 8 - 6. Let o(f) = f**2. Let i(x) = -5*x**2 - 2*x + 2. Let p(g) = i(g) + 4*o(g). Give v*u(z) - 7*p(z).\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -178396976*m**3 + 136244168 wrt m.\nAnswer: -535190928*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -322 + 322.2. Let v = 2 + -2. Let z = -7 + v. Which is the fourth smallest value? (a) 1\/4 (b) r (c) -1\/5 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(400) + 2*sqrt(400) + sqrt(400) + sqrt(400)) + sqrt(400) - 4*-1*sqrt(400))\/(1*sqrt(968)*-1))**2.\nAnswer: 45000\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 divided by -6.\nAnswer: -47\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/10 - 2\/(-10). Let n = 447 - 446.7. What is the closest to 3 in d, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -2*f - 8, 0*w - 95*f + 7*f - 78 = 4*w - 238 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 PM and 1:17 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - f = -172. Let a be f\/(-18) + 2\/(-27)*-3. Suppose -a*o - 4*o = -72. What is the least common multiple of o and 7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1836*f - 131 - 467 - 478 - 400 wrt f.\nAnswer: -1836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1056560 divided by 10?\nAnswer: 105656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 125 less than -252?\nAnswer: -377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110\/28 + -4)*-8.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**2\/5 + 10589*r\/5 + 42372\/5 = 0. What is r?\nAnswer: -4, 10593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (3*sqrt(931) + sqrt(931) + -5)**2 + (sqrt(152)\/(sqrt(8)*2) - (sqrt(57)\/sqrt(3) - sqrt(19))*-3).\nAnswer: -559*sqrt(19)\/2 + 14919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.06 + -0.06. Let q = -0.4 - a. Put q, 1\/8, 1\/2 in ascending order.\nAnswer: q, 1\/8, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c\/c**(-15)))\/(c\/c**(-2\/5)))**47*(c**(-2)\/c**(-1\/2))\/((c**0\/c)\/(c*(c*((c\/(c\/c**(-1\/16)*c))\/c)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(-61789\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 3*y. Solve y = c - 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 19*i + 64. Let a be b(15). Solve 0 + 23 + 7 - a*y**2 + 4*y - 6 = 0 for y.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**4 - 68*o**3 - 420*o**2 - 1100*o - 1000 = 0. Calculate o.\nAnswer: -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (-1 - -4)) + -4 + -10 + 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3414*u**2 - 4289*u - 1.\nAnswer: 6828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 3 = -6*p. Let s(z) = -2 + 2*z**2 + 4 + 2*z**2 - 3 - 2*z. Let l be s(p). Solve -l*i = -q + 1, 20 = -4*q - q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001821194 rounded to 4 dps?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 7*s**2 - 2*s + 5. Let q be j(7). Let z = -8 - q. Let r(t) = 211*t**2. Is r(z) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/9 + -3*1\/(-9). Solve 3*q + 0*q + 6 = i for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 826767872, 1653535745, 2480303620, 3307071497, 4133839376?\nAnswer: 4960607257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.8 (b) 0 (c) -0.01 (d) 2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 296*r - 617 = -324 + 595 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 1037677?\nAnswer: 1037682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 6\/13741 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**3 - 3*c**2 + c - 2. Let y be s(2). Suppose 0 = y*h - 8*h + 52. Suppose 5*z - 2*w - h = 0, 5*w + 0*w - 8 = -z. Solve 6*x = z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-136)*-4*(-2)\/16*8.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3664375 and 451.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 6*o. Let q be s(1). Suppose -4*t + q = -t. Suppose 0 = 4*f - t*f - 68. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 - (7 + -11)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*(-40)\/50*(6\/(-32))\/((-18)\/360)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12452 - 12460 - (1 + -42 - 1).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p*p\/(p*p\/p**(-1))*p)\/p)\/p)\/p**2*(p*p\/(p\/p**(-2\/5)*p)*p)**(2\/53))**(-3\/11))**15 assuming p is positive.\nAnswer: p**(9486\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83895 - 50264. List the prime factors of j.\nAnswer: 13, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of -h**7\/70 - h**6\/150 + 9*h**5\/100 + 3*h**4\/20 + h**3\/15 + 127*h - 1. Let k(c) = 0. What is c?\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 - 5. Let l = 52 + -47. Let x(u) = -4*u**2 - 7. Let y(w) = l*x(w) - 7*h(w). Let m(p) = -7*p**2. What is m(y(i))?\nAnswer: -7*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 4*m + 25 = -5*l, 10 = -2*m + 4*l. Let h(w) = 13*w + 9. Let k(v) = -7*v - 4. Let a(b) = m*k(b) - 3*h(b). Let j(x) = -2*x - 4. Give 3*a(p) - 5*j(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -467, -2, 3.\nAnswer: -467, -2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o - 27 = -3*q - 96, 2*q + 6*o - 26 = 2*q - 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - o**2 + 0*o + 4*o - 2*o + 21. Let d be k(-4). Solve 5*r - 21 = h + d, 3*r - 12 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4336 divided by 2?\nAnswer: 2168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 54560 and 121?\nAnswer: 600160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8440104 a multiple of 996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/12*3\/12*-2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 1 + 0*w - 1\/6*w**3 + 1\/2*w**2. Suppose b(q) = 0. What is q?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2167492069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.4, -6\/77 in decreasing order.\nAnswer: 0.4, 0, -6\/77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 648.553 grams in kilograms?\nAnswer: 0.648553","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9129 divided by 75?\nAnswer: -3043\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 14\/3571?\nAnswer: 14\/3571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*17\/((-306)\/48)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m\/m**(1\/8))\/(m*m**1))**(-15\/8))**29 assuming m is positive.\nAnswer: m**(435\/64)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mcffcmfzzxcsccczcz. Give prob of sequence xmzc.\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 1) + 10 - -90. Suppose 4*f - 89 = -497. Let q = f + z. Solve 5*a - 5*p + q = -43, 2*a + p = -3 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10438 and 3094.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 358 + -157. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**4 - 83*b**2 - 8*b**4 + 48*b**2 + (0*b + b + 0*b)*(1 - 1 + 5*b**3) to r*b**2 + p + g*b**4 + z*b**3 + t*b and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -321\/113 or -4?\nAnswer: -321\/113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 152753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2136 + 2118.135. Let k = -18 - n. What is k rounded to 2 decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9 + -4.9. Let m = -2003 + 2007. Which is the nearest to g? (a) m (b) 3\/13 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12*w. Let g(c) be the second derivative of 0*c**3 + 0 + 6*c - 1\/12*c**4 - 7*c**2. Let h(l) be the first derivative of g(l). What is h(j(f))?\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2106 and 266753000.7?\nAnswer: 266750894.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2\/4 - 62339*m\/4 - 20779\/2.\nAnswer: -(m + 20779)*(3*m + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) 2 (c) 33 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 6*p**4\/13 - 2804*p**3\/13 - 30456*p**2\/13 - 64944*p\/13 - 30592\/13 = 0.\nAnswer: -8, -2, -2\/3, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 158 = -3*y - y, -82 = -i - y. Let j(z) = z**3 + 39*z**2 - 84*z - 46. What is the remainder when i is divided by j(-41)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14384 + 24455. Is c a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 546, 491, 352, 87, -346, -989?\nAnswer: -1884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.05 - -30425.4565?\nAnswer: 30428.5065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 4*z. Factor 1\/3*g**4 + 8\/3*g**2 + z + 5\/3*g**3 + 4\/3*g.\nAnswer: g*(g + 1)*(g + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -900 - 449 + 1349 - 2*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6604*z - 5994*z + 4075*z - 3838*z - 8699*z to the form g + k*z and give k.\nAnswer: -21060","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6\/a)\/a*a*a\/(a**(-2\/9)*a)*((a\/a**(9\/8)*a)\/a*a)**(-23) assuming a is positive.\nAnswer: a**(-1073\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163538, 163552, 163558, 163544, 163498, 163408?\nAnswer: 163262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 334432120*k**4 - 173520075*k**2.\nAnswer: 8026370880*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21462?\nAnswer: 2, 3, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/84)\/(15\/7)*(-165)\/(-12).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1746878 (base 9) in base 15?\nAnswer: 14434b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 4 + 74*l**3 + 9*l - 2*l - 72*l**3. Let b(p) = -p**3 - 6*p - 4. Let x(t) = 7*b(t) + 6*m(t). What is the first derivative of x(o) wrt o?\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -351, 0.5, 3, 0.4, 0.2?\nAnswer: -351","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(187)\/(4*(sqrt(11) + sqrt(66)\/sqrt(6))))**2.\nAnswer: 153\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3\/116 - 2027\/116. Let s = 18 + r. Which is smaller: 2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-35))\/(2*1\/(-310)) - 162\/(-18).\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -31816 - -1071?\nAnswer: -30735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h + 2. Let a = 16 - 28. Let y be m(a). Calculate the greatest common divisor of 126 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -98*v**3 - 37*v**2 + 17*v - 8. Let o(r) = -36*r**3 - 13*r**2 + 6*r - 3. Let j(p) = 5*a(p) - 14*o(p). Determine j(-1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -321b9?\nAnswer: -321b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of -m**3\/3 - 7*m. Let l(s) = -s**2. Give k(l(g)).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -1. Let y(z) = -z + 17. Calculate m(p) - y(p).\nAnswer: p - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -26 + 12. Let f = r + 20. Calculate the common denominator of 68\/(-8)*f\/8 and 95\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -68536776 divided by -2\nAnswer: 34268388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(12)\/sqrt(12))*6.\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 66950 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/47 and 51\/329?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 192*o - 4 - 193*o - 4. Let y(i) = 6*i + 42. Let l(q) = 4*y(q) + 21*z(q). Let f(r) = -69*r. Give l(f(b)).\nAnswer: -207*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -179 - -170.5. Let z = d - -8. Sort 4, z, -2\/5, 0.1.\nAnswer: z, -2\/5, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/240 + w**5\/96 + 7*w**4\/192 - w**3\/24 + 613*w**2. Suppose a(d) = 0. What is d?\nAnswer: -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Which is the second smallest value? (a) -0.2 (b) q (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-13) + (-134)\/26\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 81a - -364?\nAnswer: b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + (8\/6)\/(18\/(-30)). Which is smaller: o or 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 91*j**3 - j**2 - 4*j + 2. Let y(u) = -181*u**3 + 3*u**2 + 10*u - 4. Give -10*k(o) - 4*y(o).\nAnswer: -186*o**3 - 2*o**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/56*0\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.5, -5, -0.03, -2\/7 in descending order.\nAnswer: -0.03, -2\/7, -3.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 11536469489 and 0.\nAnswer: 11536469489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8626506cm in meters?\nAnswer: 0.008626506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-1)\/((-6)\/(-432))*6\/18?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1080*m*o**2 + 176*m with respect to o.\nAnswer: -2160*m*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1765744*z**4 - 429468*z**2 - 1 wrt z.\nAnswer: 42377856*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11850, 12056, 12400, 12882?\nAnswer: 13502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7 + 23. Suppose 19*p + 64 = 23*p. What is the smallest common multiple of p and b?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725259 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a meter in centimeters?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(-1))\/((-2)\/4). Is 5*(-2)\/(-15)*d - -1677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, 0, 8, -1, -0.2373 in increasing order.\nAnswer: -4, -2, -1, -0.2373, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64*l**2 - 270128*l - 285035689.\nAnswer: -(8*l + 16883)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*a + 10*a - 10*a + 11 + 6*a + 2*a in the form b*a + k and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 589, 593, 597, 601?\n\"Answer: 4*y + 585","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1382125 + 4?\nAnswer: 1382130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + v = 88, -96 = -5*b + 21*v - 18*v. Calculate the highest common divisor of b and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/9362214 and -35\/520123.\nAnswer: 9362214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 20457\nAnswer: -1\/6819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19649*x = -19373*x + 1656 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13694323*b**4*i + 13*b**3*i - 6*b**2*i - 23*b**2 - 106*b + 5*i + 2 wrt b.\nAnswer: 328663752*b*i + 78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69 + (-80 - -154) - 68.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -103322031?\nAnswer: 103322033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4906.3 + -1616.7. What is y rounded to the nearest ten?\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 389563208*a**2*k**3 - 190*a*k**3 + 1323*a*k**2 - 3*a*k + 8*k**3 wrt a?\nAnswer: 779126416*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25205672?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s\/(s*(s\/s**7)\/s)*s)\/s))\/(s*s**(2\/5)) assuming s is positive.\nAnswer: s**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/12*(-82)\/615.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-1 + 10) - (101 - 176 - -1)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from {q: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2080, -2088, -2096, -2104?\n\"Answer: -8*b - 2072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -339514*-0.2\nAnswer: 67902.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/2*6\/3 - 0. What is the greatest common divisor of a and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**3\/9 + 187810*y**2\/9 + 37742000*y\/3 + 1890100000 = 0.\nAnswer: -300, 94505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 19 + (0 - (-1)\/1). Suppose -4*u + 8 + y = 0. What are the prime factors of 2 + -1 + -2 + u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -184*k - 39939. Calculate t(-217).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 547 - 544. What is the nearest to 0 in 6, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h - 6. Suppose -5*u - 15 = 0, 0 = -4*r + 2*r + 2*u + 4. Let l(t) = -t + 1. Give r*s(a) - 4*l(a).\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*31\nAnswer: -3.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**4 - 3 + 3 + (-27*p + 4*p + 9*p)*(p**3 + 0*p**3 + 0*p**3) to the form t*p**4 + b*p**3 + f*p + c*p**2 + w and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 3 = g. Let a be 6\/27 + g\/9. Let f = -24 - -21. Put 0.2, f, a in descending order.\nAnswer: 0.2, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.31994 and 1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 175655\/14 - 12547. What is the second biggest value in g, 1, 2, -0.2, -5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/404?\nAnswer: 3\/404","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*b - 137 + 68 + 69.\nAnswer: 37*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 4537.685985 and 312.8.\nAnswer: 4850.485985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9933 + -9930. Put -5, 0, -4, -46, m in decreasing order.\nAnswer: m, 0, -4, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2168 and -1.007100732.\nAnswer: 2166.992899268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*w = -14*w - 30. Let b(g) = -g**3 + 6*g**2 + 4*g - 6. List the prime factors of b(w).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**3 + 21*k**2 + 51*k + 27.\nAnswer: -3*(k - 9)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19*i**2*o**2 - 238*i**2*v**2 - 88*i**2 + i*o**3 + 4*i*o + i + 365160*o**3*v - 8*o**3 wrt v?\nAnswer: -476*i**2*v + 365160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -0.3. Let o be (-1 - 5\/(-20))*(63\/(-27))\/(-7). What is the closest to o in 2\/9, i, -0.06?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, 1, 7 in descending order.\nAnswer: 7, 2, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*3\/4*(-240)\/(-29880). What is the biggest value in -7, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -27\/4*l - 3*l**2 - 3\/2.\nAnswer: -3*(l + 2)*(4*l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.01 in -0.3, -3\/7, 1.8?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1520000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3387?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -9797281 times 18\nAnswer: -176351058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/245)\/(-4*(-3)\/(-84)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 3*g**2 - 3*g - 3. Let c be m(-3). Calculate the smallest common multiple of 8 and (-4)\/c + 224\/21.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b + 4a?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - d**2 - 527. Let x be t(0). Let s = x + 2607\/5. Let n = -107\/20 - s. Put 0.4, n, -9 in decreasing order.\nAnswer: 0.4, n, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 times -0.39?\nAnswer: -8.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2294 - -3869. Suppose k + o = 10*k. Calculate the greatest common divisor of 50 and k.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 2228?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1565.97 + -1577. Let s = v - 0.77. Let z = s - -12. Is z smaller than -0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a meter in centimeters?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a11 (base 11) to base 12.\nAnswer: -85a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.817 - 4.76. Let h = g - 0.023. Let r = -0.6 - h. What is the closest to -2 in r, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2776469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**3 + 17*o**2 - 137*o - 843. Give c(-7).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*f - 1, -6 = 3*s - 4*s + 5*f. Let i(b) be the third derivative of 157*b**4\/24 - b**3\/3 + b**2. Is i(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1512*d**2 - 6592*d**2 + 785*d**2.\nAnswer: -7319*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-2)\/(-18)*(-103)\/(412\/156).\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53155, -17, 1, 4.\nAnswer: -53155, -17, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 1\/80*u**5 + 0 - 139*u**2 + 9\/4*u**3 + 0*u + 21\/64*u**4 - 1\/960*u**6. Factor y(f).\nAnswer: -(f - 12)*(f + 3)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 6*d**2 + 8*d + 10. Let c be h(-7). Let i(u) be the second derivative of -u**5\/20 + u**4\/6 + u**3\/6 + 2*u**2 - 5*u. What is i(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 738575413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98 + -95. Let r be (4\/3)\/(p*(-10)\/(-45)). Solve r*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 5958, 23866, 53724, 95538, 149314?\n\"Answer: v**3 + 5969*v**2 - 6*v - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0)**(-2\/25)\/(t**(2\/27)\/t*t*t**(1\/2))*(t**(-5\/3)\/t**(-7\/5))**(-37) assuming t is positive.\nAnswer: t**(2509\/270)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2871778352.\nAnswer: 2, 1951, 91997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**5\/7 - 355*r**4\/7 - 32383*r**3\/7 - 155929*r**2\/7 - 35200*r - 17500 = 0.\nAnswer: -175, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 501404?\nAnswer: 2, 103, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5179940*m**3 + 5818809 wrt m.\nAnswer: -15539820*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 9*p**2 + 2*p - 1. Let i be o(-2). Let s be (-12)\/3*-2*2. Let t = i - s. What are the prime factors of t?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 28*s - 25 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -259 by 37.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 4*q - 54, 2*q - 5*n - 5 = 2. Let i = q + -16. Solve i = -3*k + 7*k + 4, -1 = 4*w + 5*k for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2755507*w**4 + 24*w**3 - 410769724*w.\nAnswer: -33066084*w**2 + 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - b - 2 = i, -133*i + 131*i + 11*b - 24 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3583.9 - 3589.9. What is the nearest to t in 0.6, -1, 16, 0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/3)\/(10\/6). Let y = -6 - -1. Suppose 2 = 3*h - 10. Sort y, h, t in decreasing order.\nAnswer: h, t, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + -0.95. Which is the closest to 2\/9? (a) -2\/21 (b) m (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 377650, 3021171, 10196432, 24169303, 47205654, 81571355, 129532276?\n\"Answer: 377645*p**3 + 6*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -46*u**2. Suppose -2*n + 4 = -5*p, -2*n - 1 = -3*p - 5. Let y(z) = 636*z - 5*z**n - 636*z. What is y(a(j))?\nAnswer: -10580*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*b - 3 = -0*b, 0*b = -5*l + 4*b + 41 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 78*y - 5219. What is r(-121)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9458166*n**2 + 30304616*n wrt n?\nAnswer: -18916332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**3 - 96*q**2 - 259*q - 5170. Give y(-31).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3.2 * -1.8\nAnswer: -5.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -11*b**5\/30 + 10*b**2. Let a(j) = -3*j**2 + 8. Let l(v) = -v**2 + 3. Let x(f) = -3*a(f) + 8*l(f). Give x(y(w)).\nAnswer: 484*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7179788, 7179762, 7179736?\n\"Answer: -26*h + 7179814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(432) + 2 + 4 + (1*sqrt(432))**2.\nAnswer: 24*sqrt(3) + 438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 4*l**3 - 2*l**3 + 13*l**3.\nAnswer: 7*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 8:03 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18000000 = -4*z + 2*t, 5*t + 1509783 = z - 2990217. What is z rounded to the nearest one hundred thousand?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1632896, 1633475, 1634440, 1635791, 1637528?\n\"Answer: 193*n**2 + 1632703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*u = 97*u - 141 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1072*o + 1472 = -1060*o + 2086*o for o.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9308 divided by 2327\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.02 - 1.22. Let w = 387\/77 - 60\/11. Let g = 48\/11 - 50\/11. What is the third biggest value in w, y, g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + h**2 - h - 2. Let z(m) = -m**3 - 5*m**2 - m + 7. Give 5*n(v) + z(v).\nAnswer: 4*v**3 - 6*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 h when three letters picked without replacement from {x: 7, h: 2, o: 5}.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*f*h**2*q + 142*f*h**2 + 4*f*h*q**2 + 5928*f - 6*q**2 wrt h.\nAnswer: -12*f*h*q + 284*f*h + 4*f*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 2:47 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -3. Suppose -3*v = -b*v. Suppose -10 = 4*u - 2*u, -2*l + 5*u + 33 = v. Solve 5*g = 2*y - l*y - 2, 3 = 4*g - 3*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 4:46 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a meter in centimeters?\nAnswer: 1175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + -3. Suppose -4*t + 22 = -w*t. Calculate the smallest common multiple of t and (-18)\/(-8)*(1 - -3).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -11.2. Suppose -s = -5*l + 4 + 25, 2*s = -3*l + 7. Put y, l, -0.4 in ascending order.\nAnswer: -0.4, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3648540 a multiple of 140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 14*t**2 - 15*t + 7. Let v be f(-11). Is 1\/(3 + 572\/v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*j - 2*f, 4*f + 8 = -2*j + 2. Calculate the remainder when 45 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 9:53 PM?\nAnswer: 7:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-140)\/(-42) + 2\/3. Let s(a) = 7*a**3 - 8*a**2 + 2*a - 9. Let m(x) = 3*x**3 - 4*x**2 + x - 4. Let u(c) = 5*m(c) - 2*s(c). What is u(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(342)*2 - sqrt(342)) + ((sqrt(342)*-2)\/sqrt(9) - sqrt(38)))\/((sqrt(288) - 4*sqrt(288)) + -3*sqrt(2)*1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 less than 53872?\nAnswer: 53871.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162365*y + 81070*y + 80995*y.\nAnswer: -300*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 m when three letters picked without replacement from {i: 2, m: 5, y: 1, l: 1}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 + 7 + 1)\/(-1). Let h(n) = -n**2 - 16*n - 6. What are the prime factors of h(t)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 67142374\/15 - 4480008. Let x = -3848 - b. Let d = -1491331\/412974 - -2\/22943. Calculate the common denominator of x and d.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 8:16 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -1, -15, 0.49, 2, -2 in increasing order.\nAnswer: -15, -2, -1, 2\/17, 0.49, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -109*r**3 + 2*r**2 - 4*r. Calculate o(1).\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 371952 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/4 of a decade in months?\nAnswer: 2430","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + 454.\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 6 = -0*u. Let p(d) be the first derivative of -3*d + 84 - 5\/2*d**2. Give p(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**6\/2 - u**5 + 5*u**3\/3 - 3*u**2\/2 + 65. What is the third derivative of w(x) wrt x?\nAnswer: 180*x**2 - 120*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*y + 16 = -6, -4*n - 3*y = 44. Find the common denominator of n\/3*((-108)\/(-56))\/(-9) and 137\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-214)\/4*-5)\/(89\/1780). What is y rounded to the nearest one hundred?\nAnswer: 5400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 8961*k - 8962*k - 2*u, k - 1 = u for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 - l + 2. Let x be m(-2). What is the units digit of -1 + 2 - (6 + -486 + x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2338 or -2337?\nAnswer: -2337","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 91044 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p**4 - 4*p**4 - 8*p**4)*(0*p + 3*p - p) - p**5 + 2 + 0 - p**5.\nAnswer: -12*p**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*(b\/(b*b**(4\/19)*b))\/b)\/((b\/((b\/(b*b**23))\/b*b))\/b))\/(b**(-10)*b)**(-3\/4))**(-9) assuming b is positive.\nAnswer: b**(21177\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-501222)\/(-30) - -3) + 0 + 6\/(-15).\nAnswer: 2, 3, 5, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/14*340\/(15686920\/1239) - 4\/34?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + -3 + 31 + -34?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 12*j**7\/7 + j**6\/6 + 29*j**3\/3 + 399. Find the third derivative of r(o) wrt o.\nAnswer: 1440*o**3 + 60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -931 + 908 + -1 + 11 - (1 - 72).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5935747, -11871495, -17807243, -23742991, -29678739, -35614487?\n\"Answer: -5935748*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = -25*z + 3750. Does 10 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -12. Suppose -2*c - 3*c + 25 = 0. What is the second derivative of 5*i**4 + n*i**5 - c*i**4 - 2*i wrt i?\nAnswer: 80*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8645 - 8484. Calculate the remainder when 6275 is divided by u.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 154189 to the nearest integer?\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 239 divided by 2.\nAnswer: 239\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/6 - (-3 + 0). Find the second derivative of 11*o + 8*o**2 - o + o - u*o**2 wrt o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23 and 444107?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*b = 6. Let z be 1\/(-1) - 3*-2. Suppose -2*i**2 - i**3 + 2*i**4 - i**z + i**b - i**4 + 2*i**5 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 - 33. Let v(n) = n**3 - 6*n**2 + 2*n - 7. Let j be v(6). Suppose j*i - 149 = -l. Is 13 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 512 minus -4.4?\nAnswer: 516.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -9. Which is the smallest value? (a) -1 (b) -1\/5 (c) u (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 931\/37766, 3\/5, 0 in descending order.\nAnswer: 3\/5, 931\/37766, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - p = r + 195, 100 = 2*p + 2*r. Calculate the remainder when 97 is divided by p.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fzf when three letters picked without replacement from {f: 7, z: 3}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 1340?\nAnswer: 1337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 8, -0.3, 5 in decreasing order.\nAnswer: 8, 5, -0.09, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*o + 9. Let j(v) = 0*v + 4*v - 19 + v**2 + 0*v**o - 3*v. Is j(-10) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 185*n**2 + 195*n - 1838. What is the tens digit of b(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 + 8*y**2 - 6*y - 6. Let l be c(7). Suppose -5*j + l = -9. Solve 5*o + 7 - j = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16681 divided by -1.\nAnswer: -16681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuyuususipuuyy. Give prob of picking 4 u.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5356264 (base 7) to base 6.\nAnswer: 21554321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m - 2. Let s(r) = -9*r - 17. Let v(t) = -51*n(t) + 6*s(t). Let u(h) = 7*h. What is u(v(d))?\nAnswer: -21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35703?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (470\/(-329))\/(3*8\/21).\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -198, -362, -788, -1602, -2930?\nAnswer: -4898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**3 - 3*q**2 + 3*q. Let f(d) = 6*d**3 - 3*d**2 + 4*d. Give 3*f(y) - 4*z(y).\nAnswer: -2*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1360 is divided by 449?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 149*c**3 - 1 + 0*c**2 - 147*c**3 + 2*c + c**4 - 9*c**2 in the form v*c**2 + t*c + f + s*c**3 + r*c**4 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 1\/2, -2\/189, 4.\nAnswer: -2\/189, 0, 1\/2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 181*o**2 - 66 + 86*o**2 + 2*o + 67.\nAnswer: 267*o**2 + 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (7 + -20 - 5 - 2)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 185 - 186. Sort i, 5, -3, 0 in descending order.\nAnswer: 5, 0, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -2209*n**8\/336 + 601*n**5\/60 - n**4\/8 + 357*n**2. Find the third derivative of j(p) wrt p.\nAnswer: -132540*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/10)\/(1\/(-6)). Let a = 23 + -25. Let z = a + i. Solve -4*g = -n - 19 - z, -4*g - 4 = 5*n for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9071515?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*z + 276 = 8*z - 11*z for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3.4. Let u = -0.35 - j. Let k = u - 0.05000163. Round k to seven dps.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/10 + 145416\/291330 + (-4)\/18\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + t - 8 = 0, 5*t = 4*y - 10. Suppose -5*u + y*g = -10, u - 2*g - 4 + 1 = 0. Let v(r) = -5*r**3 + 2*r**2 - 2*r + 1. Give v(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -g - 0*g. Let r(l) = -2 + 1 + l**3 + g*l**2 + 0 - 4*l**2. Calculate r(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 142 = 5*c - 120, -5*u + 128 = 2*c. Does 18 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 671 - 243. Let c(g) = -428 + 19*g + i + 28*g**2. Let n(j) = 27*j**2 + 18*j. Let z(x) = 2*c(x) - 3*n(x). What is the second derivative of z(d) wrt d?\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5925808*n**5 - 2048409*n?\nAnswer: -118516160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 48, 97, 146, 195?\n\"Answer: 49*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -16*u**6\/3 + 25*u**2\/2 + 11. Find the second derivative of r(v) wrt v.\nAnswer: -640*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 12 = 3*z, 18*z - 17*z - 7 = 4*u. Which is smaller: 13\/474 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**3 + q**2 + 119*q. Calculate s(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 753218321 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 128963*x**3 - 37*x**2 + 18606250?\nAnswer: 386889*x**2 - 74*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + (-2*(sqrt(468) - -4*sqrt(468)))**2 + (sqrt(468) - ((sqrt(468) + -2 + sqrt(468))**2 + -2)))*2.\nAnswer: 108*sqrt(13) + 89840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22309147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**7\/336 - 7*i**6\/60 - 97*i**5\/160 + 667*i**4\/48 - 799*i**3\/12 + 289*i**2\/2 - 439*i. Factor k(u).\nAnswer: -(u - 2)**3*(u + 17)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5557280.\nAnswer: 2, 5, 47, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 2:01 AM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 387562, 775003, 1162444, 1549885?\nAnswer: 1937326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p - 168 - 57 + 0*p + 21 + 3*p to the form x*p + v and give v.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -58? (a) 1\/2 (b) 2\/11 (c) -2.2 (d) 665\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 11ea7429?\nAnswer: 11ea742c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(3\/2)\/b**2*(b**(-1\/4)*b*b)\/b**(-2\/7) assuming b is positive.\nAnswer: b**(43\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 + 4*m**2 + 3*m. Let y be v(-2). Let q(r) = 7*r - 1. Let f be q(y). Solve -b - 2 = -0*b + 4*a, 4*b - 5*a = f for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6986 by -998.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-12)\/(-2))*-1*-10?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -8739 (b) 9 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.2 (c) -4 (d) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*(2 + ((sqrt(304) + 0)*-2)**2).\nAnswer: -4869","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 347+140820823850\nAnswer: 140820824197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q - 46*q**2 - 56 + 30*q**2 - 155*q**2 + 0*q + 5*q wrt q.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6 + 189\/35)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*y**4 + 1969*y + 3 - 1953*y - 2 as l*y + n*y**3 + g*y**2 + j + d*y**4 and give l.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i - 1 + 3 + 2*i**3 - i**3. Let n be l(3). Suppose 300 = n*o - 180. Is 24 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -284689020 divided by -9489634.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112 - 8*w - 112 + 8*w - 3*w**3.\nAnswer: -3*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 30*s**2 - 30*s + 43. Let z be u(29). Suppose 0 = z*o + 3*o - 2907. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3\/5 + 6434222*y**2\/5 - 4*y\/5 - 25736888\/5 = 0 for y.\nAnswer: -6434222, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 PM and 8:23 PM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41510 divided by 8.\nAnswer: 20755\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + 7*z**2 + 2*z - 5. What is the units digit of r(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -11001021?\nAnswer: -11001102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5541 + -3004. Let q = z + -1368. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a hour in minutes?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 0*x - 26 + 29 + 6*x + x**2. Determine b(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/5, -2\/23, 5\/4, 86 in descending order.\nAnswer: 86, 5, 5\/4, -2\/23, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 264 and 42?\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 234400121 - -4?\nAnswer: 234400130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/2)\/v)**11)**35 assuming v is positive.\nAnswer: v**(385\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + 2 + sqrt(405))*-6 + -1)**2.\nAnswer: 2808*sqrt(5) + 58489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 + 65 = 28*o. List the prime factors of (-541 + o)\/(-6) + 5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2686 = 17*j - 1394. Calculate the greatest common divisor of j and 192.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47997378 divided by -377\nAnswer: -127314","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*y + 1. Suppose -4*w - 4 = 5*d, -y*w + 0*w = -5*d - 28. Suppose 0 = -2*p + w*l - 4, l + 0 + 1 = p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -24030181 and -10.6.\nAnswer: -24030191.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4 = 8. Let l = 7 - 4. Suppose -x - 2 = 5*m, 0 = l*x - 0*m + d*m - 38. Solve -x = 5*i - 3*n, -3*n = 2*i - i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7451, 29917, 67429, 119981, 187567, 270181, 367817, 480469?\nAnswer: 608131","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 581711 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 - 799468*j\/9 - 79893635378\/9.\nAnswer: -2*(j + 199867)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 3 - 18 = 0. Let m = -14\/33 - -12\/11. What is the nearest to -1\/4 in m, -1\/5, w?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + v**3 + 9*v + 24*v**3 - 10*v**3.\nAnswer: 15*v**3 + 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -85, -71, -49, -19, 19?\n\"Answer: 4*v**2 + 2*v - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1 and 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1103\/21 - 158\/3. Put -2, n, 0.5, -1, 0.3 in ascending order.\nAnswer: -2, -1, n, 0.3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -k**5\/15 - 3*k**4\/2 - 32*k**3\/3 - 64*k**2\/3 - 146. Factor z(y).\nAnswer: -y*(y + 2)*(y + 8)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*4\/112*28\/105.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 1. Let m(j) be the second derivative of -j**3\/3 - 9*j**2\/2 - 2640*j. Calculate -m(o) - 3*z(o).\nAnswer: 2*o + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 - 24*i + 43. Determine j(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6 + -18. What is the remainder when 61 is divided by j\/(-8)*32\/3?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13312302301 (base 4) in base 10?\nAnswer: -2059441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 39539 divided by -346\nAnswer: -39539\/346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 90*b**2 - 3*b**2 - 17*b**2 + (7*b + 15*b + 16*b)*(-4*b - b + 4*b).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*w = 0. Let o be 24\/3 - 47\/((-178318)\/(-30380)). Is w bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ypxypybyxxyyyyyypyyx. Give prob of picking 1 p and 1 y.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14222249 to the nearest integer?\nAnswer: 3771","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29026575 by 8165.\nAnswer: -3555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z**3 + 4*z**2 - 2*z + 5. Let y be r(4). Let x = 120 + y. What is x rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u - 325. What is i(13)?\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -32. Let h(o) = -6*o - 36. Calculate the smallest common multiple of h(-9) and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 100.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkk when three letters picked without replacement from {k: 3, t: 11}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2492559579.\nAnswer: 3, 541, 1535773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - -3) + (-5)\/(-1) - 221\/(9 - 22).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73199 >= -73199?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 836706151 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 2*i**3\/3 - 7*i**2\/2 + 2*i. Suppose -4*k - k + 15 = 0. Let d(w) = -k*w + 5 - 2 - w + 2*w. Calculate 5*d(h) + 2*r(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 619 + -617. Find the third derivative of -2*g - 269 + 269 + 41*g**2 - 136*g**s - 144*g**3 wrt g.\nAnswer: -864","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**2\/7 - 1360*y\/7 - 231200\/7.\nAnswer: -2*(y + 340)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56605*g - 56813*g + 17680 for g.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*f - 1024 = -121*f for f.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 8 + 2 = 0. Let g(p) = p**2 + 4*p + 8. Let l be g(5). Let x = l - 52. Solve -v = -t - x for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10734?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12328.5333 and -5897961.\nAnswer: -5885632.4667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -21, -8, 5, 18?\n\"Answer: 13*b - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4669 - 14006\/3. Sort l, 3\/7, 0, 7, 3 in descending order.\nAnswer: 7, 3, 3\/7, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001714157635 to five decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92526610.\nAnswer: 2, 5, 11, 131, 6421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1274728?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(456)\/(sqrt(60)\/sqrt(5)))\/sqrt(2) - (4 + (sqrt(2736) + -2)**2).\nAnswer: -2744 + 49*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112 = -2*x + 3*m, 2*x + 2*x = -3*m + 260. What are the prime factors of x?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 106, -0.5, -2.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 4*a**2 + 10*a - 17. Suppose 5*u = 3*o - 0*u - 25, 2*o - u - 12 = 0. What is the smallest common multiple of z(o) and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -27*y**4 + 13*y + 44*y - 10*y wrt y?\nAnswer: -324*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -7 - (-1 + -1)) + 4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 2*i**3 - i**2 + 2*i - 3. Let v be s(2). Suppose 0 = -5*p + v + 27. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5835.3 times -0.03\nAnswer: 175.059","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(190) - sqrt(190)*-3)\/sqrt(10))**2.\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1560 rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8707439789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1912 - 1822. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrm. Give prob of sequence mr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 j when two letters picked without replacement from yyyryyykj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 6250*x**2 + 3*x + 12. Let j be u(-4). What is j rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5011 = z + 733. Suppose 15*y - 8157 = z. What are the prime factors of y?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*t + 183*t**3 - 190*t.\nAnswer: 183*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 + 3*v - 8. Let c be d(-5). Suppose 0 = 3*u - 8 + c. Let o = 0 - -5. Put o, -5, u in decreasing order.\nAnswer: o, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1, -0.1, 1\/18, -2, -0.3, -1\/38?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -274*v**2 - 1370*v + 12. What is the lowest common multiple of x(-5) and 430?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 9:20 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 - (-14)\/(-4)) + (-6)\/4. Which is the third biggest value? (a) 2 (b) -1\/3 (c) -4 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -51*n - 252. Is h(-6) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39.886 rounded to zero dps?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 - 38?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 43 - 40. Let t(x) be the second derivative of -7*x**3\/2 - 4*x**2 + 5*x. Let k be t(v). What is k rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 147222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1, 3\/2 in ascending order.\nAnswer: -6, 1, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 10:21 PM?\nAnswer: 1:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23, 35, 37, 23, -13?\n\"Answer: -q**3 + q**2 + 16*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 4*z - 48 = 0. Suppose -18 = -2*r - z. Let t(a) = 7*a**2 - 8*a - 13. Is t(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a31ebe (base 15) in base 16?\nAnswer: -764a89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28796977127 and -0.2.\nAnswer: -28796977127.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the second derivative of -l**7\/168 - l**6\/120 + l**5\/80 + l**4\/48 + 27*l. Factor v(t).\nAnswer: -t**2*(t - 1)*(t + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -s - 3*x - 1, x - 15 = -5*s. Suppose 2*y = w - 58, -3*w + 5*y + 186 = s*y. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.901244 * -3.9\nAnswer: 3.5148516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -13.431\nAnswer: -2.6862","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2012*o**5 - 2*o**4 + 2003*o**3 - 8785296*o**2 wrt o?\nAnswer: 120720*o**2 - 48*o + 12018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 53969 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - 6*x**2 + 5*x + 3. Suppose -16*d = -20*d + 20. Suppose 24 = d*s - 1. Calculate q(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 161115?\nAnswer: 3, 5, 23, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) -4 (c) 5 (d) -1\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.35 + -1.45. Let n be 4\/(8\/(-3)) - (-10)\/(-4). Let h(t) = 3*t + 13. Let a be h(n). What is the smallest value in m, a, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2667 + -2642 + (0 - 61).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52\/45 + 1247\/180. Find the common denominator of (12\/(-144))\/(1\/98) + 3 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -96*o + 1567. Give z(15).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2 = -4*u, -2*u + 2 = -z. Sort -2, 28, -7, z in decreasing order.\nAnswer: 28, z, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 826761 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -21. Solve 3*k - 4 = y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45488329*o**2 - 391773*o - 348 wrt o.\nAnswer: 90976658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b - 5. Let x(q) = -q. Let o(n) = -3*l(n) + 4*x(n). Give o(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26 - -6?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1296\/198*-2*(-341)\/(-62).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9)\/(-40)*(-1184)\/24 and 24\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*b**2 + 0*b**2 - 2*b**2)*(1 + 2 - 5) + 0*b**2 + 6*b**2 - b**2)*((-2*b - 3 + 3)*(4*b**2 - 2*b**2 - 6*b**2) - 3*b**3 + 1 - 1 - 4*b + 3*b**3 + 4*b).\nAnswer: 24*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -510 - -415.4. Let i = 87 + d. Let v = -7 - i. Round v to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/10140 and -97\/12?\nAnswer: 10140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = -0*u + 10. Let m be (-6)\/(-4)*(-6)\/(-9). Which is the second biggest value? (a) u (b) -2\/13 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 444565 and 1791240.\nAnswer: 3245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 45, 123, 349, 801, 1557, 2695, 4293?\n\"Answer: 13*r**3 - 4*r**2 - r + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**4\/q**(8\/7))**(-9)*(((q\/(q\/(q*q**(-5))*q))\/q)\/(q**(3\/5)\/q))\/(q**(-1)\/(q*q**(-1\/7)*q)) assuming q is positive.\nAnswer: q**(-996\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -1 + 2 + (-7 + -18 - -23)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x**2 + 2. Let i(z) = -48*z**2 + 14. Let a(w) = -6*i(w) + 44*v(w). Let b(f) = -f. Determine a(b(t)).\nAnswer: -108*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, l: 5}. What is prob of sequence llgg?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 76*i + 38*i + 10 + 36*i - 13*i**3 as f*i + c + n*i**3 + r*i**2 and give n.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 25 = -50. Let i(l) = l**2 - 15*l - 4. Let a be i(w). What is the closest to -0.1 in -3, a, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 37420777 - -2?\nAnswer: 37420779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*b + 182. Let r be -4 + (-6 - -8) - -2. Calculate the remainder when b is divided by -12*(1 + r)\/(12 + -13).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13 + 13*i**3 - 36*i**3 + 15 - 2*i**3 + i**2 - i**2 + (-1 - 2 - 2)*(2*i**2 - 2*i**2 - 2*i**3) + 0*i**2 + 0*i**2 - 2*i**3.\nAnswer: -17*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 11:00 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 473713 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -11*4\/(-36) + (-10)\/45. Let y be ((-1)\/8*-2)\/(-1). Is y != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 108*n - 311. Let t be u(3). Solve 0 = 18*q - 31*q + t for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 5. Let l(g) = -6 + g**3 + 8*g**2 - 224*g - 2*g**2 + 227*g. Let r be l(h). Solve -r*j + j = 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1496.945 rounded to the nearest ten?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*u = -503*u - 30 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -285 + 284.999996235. Round z to 7 decimal places.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1951728239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*g*q**5 - 309234*g*q**4 - 3833*g*q + 143*q**2 - 3*q wrt q.\nAnswer: 3660*g*q**2 - 7421616*g*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 23. Calculate p(6).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 4. Suppose 0 = 4*w + 4*r - 8 - 0, 0 = w - 5*r - 2. Let m be b(w). Solve -z = -5*c + 24, m = -4*z + 6*z - c + 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 11194 = 2*b, -7 = b - 4. Does 140 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -156, -167, -200, -267, -380?\n\"Answer: -2*j**3 + j**2 - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and 271977.\nAnswer: -2175816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 449996. Let y(d) = 1. Let u(j) = -w(j) + 4*y(j). Suppose -7*h + 4*h = 0. Let n be u(h). Round n to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2)**(6\/29) assuming w is positive.\nAnswer: w**(12\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/2 - -2)\/(-1). Let x be g*(-17)\/(-4)*-8. Let b = 56 - x. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**3 + 2932*p**2 + 5861*p + 2930 = 0.\nAnswer: -2930, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (15 - (-2 + (-15 - -9))).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, w: 4, q: 1, s: 3, v: 7}. What is prob of sequence mmw?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.448404 weeks to hours.\nAnswer: 915.331872","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/3544 and 93\/8?\nAnswer: 3544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o + 2. Suppose 11 = 4*i - 9. Suppose 0 = -5*f - i, -1 = y + 3*f - 9. Calculate the least common multiple of y and j(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 13 = 2*j - 5, 5*x - 4 = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 643*r + 32899 = 647*r, 0 = p - 2*r - 6591. Is p a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*c + 61*c = -24. Suppose 3\/4*a + 3\/4*a**2 - 7\/4*a**c + 3\/4*a**4 - 1\/2 = 0. Calculate a.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2 + 85659*x - 1284210 = 0. Calculate x.\nAnswer: 15, 28538","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10, -2, 6?\n\"Answer: 8*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q**3*t**4 + 153617*q**3*t**3 + 4*q**3*t + 48*q**3 + 3*q*t**3 - 1111*t**2 wrt t.\nAnswer: 72*q**3*t + 921702*q**3 + 18*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - d + 781 = 0, 1050 = 4*q - 68*d + 65*d. Calculate the least common multiple of q and 27.\nAnswer: 783","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110001101001001010 + -111011?\nAnswer: -1110001101010000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8178135 rounded to one decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -329993.435 rounded to the nearest ten?\nAnswer: -329990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 + -0.2. Suppose 138*a - 704 = -428. What is the closest to -4 in a, x, -2\/11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 12:18 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 6 = 0, -2*d = -3*f - 6 - 13 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express q - q - 2*q**3 + (2*q**2 + 0*q + 0*q)*(0*q + q + 5*q) as l*q + b*q**2 + w*q**3 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/6)\/(1\/(-6)). Suppose -3*g + q*s + 6 = -2*g, 0 = -5*g + s + 3. Solve 4*h - 2*d - 6 = -4*d, -4*h - 5*d + 9 = g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-19)\/3*(-54)\/(-3). Round u to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24684 and 1815?\nAnswer: 123420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 3. Suppose o = 3*v + 4 + 6, 50 = 5*o + 5*v. Let b(n) = -9*n - o*n + 16*n + 7. What is 4*b(t) + 10*y(t)?\nAnswer: -2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -12. Let a = -1 - m. Solve -17 + a = -4*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*7\/(7\/3). Suppose -2*o - t = o. Put 10, o, 2 in decreasing order.\nAnswer: 10, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w + 164. Suppose 4217 + 2920 = 183*d. Give y(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, -0.4, 0.5, 0.22, 687, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*p**2 + 0 - 5 + 0 + p**2 wrt p.\nAnswer: 14*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/11 + 592*r\/11 - 8680\/11.\nAnswer: 2*(r - 14)*(r + 310)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3022100 (base 6) to base 9\nAnswer: -237170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -316465*a**3*g**3 + 2313*a**3*g - 99*a**2*g wrt g?\nAnswer: -1898790*a**3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/36)\/((-40990)\/(-73782)).\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 a when two letters picked without replacement from {v: 3, f: 2, i: 9, u: 3, s: 1, a: 1}?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6311 + -26488040.17.\nAnswer: -26481729.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 27*l**2 + l - 31. Let z be x(27). Which is the third biggest value? (a) 0.23 (b) 5 (c) -22 (d) z (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 11. Let u(k) be the first derivative of 0*k**3 + 3*k + x - 1\/2*k**4 + 0*k**2. Differentiate u(l) wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.011 - -41.611. Let d = g + -39.79. Round d to one decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, v: 4, f: 3, r: 6}. Give prob of picking 1 f, 1 a, and 1 v.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -141509.5\nAnswer: 42452.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 10\/1741?\nAnswer: 10\/1741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 4115*z**4\/2 - 2045*z**3 - 25*z**2\/2 = 0.\nAnswer: -5\/823, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1854 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -216812 to the nearest 100000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 8 + 0 = 0. Let y = 4 - u. Let j = 0 - y. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*f + 2*h - 1268, -2674*f = -2669*f + 2*h - 345 for f.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - o = 24. Calculate the lowest common multiple of 20 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1903 a factor of 27484473?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-37 - (-206 + 172)) + 1 + 1 + -40 + 0.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 4*h - 208 = 0. What is the greatest common factor of h and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 634000 to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - -13dd99?\nAnswer: 13dd96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -2 - 7. Suppose q*l - v - 21 = 15, l - 26 = 5*v. Let h(x) = -x**2 + 11*x + 13. Calculate the remainder when 36 is divided by h(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of i**6\/420 + i**5\/42 + i**4\/12 + i**3\/7 - 21*i**2 - 8. Let k(z) be the second derivative of n(z). Solve k(m) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1855 or -55619\/30?\nAnswer: -1855","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3916, -1.34, -2\/7?\nAnswer: -1.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i**(1\/17))**(-2\/15)*(i\/i**(2\/3))\/i**(1\/2) assuming i is positive.\nAnswer: i**(-15\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, y: 4, d: 2, z: 8, m: 2, o: 2}. What is prob of sequence yyme?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288290*i**2 - 147778*i**2 + 421320*i**2.\nAnswer: 561832*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + d**3 + 5)*(4*d - 5*d - d) + d**4 - 4*d**4 + 2*d**4 + 2084*d**4 - 4872*d**4 + 2308*d**4.\nAnswer: -483*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288 by 8.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 279128345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011010111001101 + -11?\nAnswer: 110011010111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 6:54 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2138 times 2.4?\nAnswer: 0.51312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 0 - 4 = 0. Let m(q) = 2*q**2 - 4*q**2 - r + 3*q**3 - 2*q - 4*q**3. Let c be -6 + 3 + (1 - 0). What is m(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g**2 + 170*g = 0.\nAnswer: -34, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -13 + 25 + -5 + 1. Solve -q = -5*g + 17 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 217703 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -98, -97, -86, -59, -10?\n\"Answer: w**3 - w**2 - 3*w - 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 13\/(-39)*(-48)\/4. Solve -9*z = -i*z + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 10901885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**5 + t**5 + 0*t**5 + (-3*t + t + t)*(-3*t**4 + 3*t**4 + t**4).\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 19 = 5*h - 11, -2*h - 2*b - 8 = 0. Suppose 36 = -2*k - k. What is the least common multiple of 0\/(-1) + -2 - k and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x**2. Let z(p) = -p**2 - 3*p + 3. Let h be z(-4). Let j be (1 - h) + (0 - -1). Let y(b) = -j + 2*b + 3. Determine u(y(m)).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -81*g - 891. Let o be q(-11). Solve 7*x - 2*x - 3*z - 35 = o, -2*x - 2*z = 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 10*t + 1. Let o be g(2). Suppose -5*a = 5*m + o + 4, -2*a + m = -5. Suppose -3*f - 2*f + 170 = a. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-57)\/(-6) + (-3)\/(-6). Suppose 2*h - 28 = j. Suppose 114 = -5*b - 3*g + 390, -5*b + 3*g + 264 = 0. What is the remainder when b is divided by h?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*y = -15, 3*p - 5*y - 3 = 2*p. Suppose 0*b - 39 = -p*b. Calculate the remainder when 27 - (1 + 1 + 0) is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 2*x - 5*p, -2*x - 3*p + 8 = -8. Let h = x + 12. Suppose -3*z = 4*q - 216, 45 + 9 = q - 3*z. Calculate the remainder when q is divided by h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*h - 1 = 0, 3*d + d = h - 38. Let n be -5 - (2\/6)\/(1\/12). Is n > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of z**5\/60 - z**4\/24 + z**3\/6 - 2*z**2 + 362. Suppose 0 = q - 0*q - 2*d + 2, -5*q - d = -12. Determine s(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 4*g + 3. Let o(s) = -s**2 + 5*s + 3. Suppose 145 + 19 = -41*p. Calculate p*o(k) + 5*b(k).\nAnswer: -k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -102 (b) -3\/5 (c) 5 (d) 0.3 (e) -1\/16 (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 8:21 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -814655 divided by -162931.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 668, 1264, 1860?\nAnswer: 2456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835.\nAnswer: 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 55250444251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**2 + 1. Let m be l(3). Suppose 4*v = 5*h + 80, 24 + 16 = 2*v + 5*h. Let f = m + v. Which is bigger: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81611 or 81609?\nAnswer: 81609","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 - 9*p**2 + 18*p + 8. Give k(-10).\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1559*i*k**5 - 3*i*k - 2*k wrt k.\nAnswer: -31180*i*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w**3 + 0*w**3 - 12*w**3)*(-4 + 0 + 5).\nAnswer: -18*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8067?\nAnswer: 3, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17, -73, -159, -269, -397, -537?\n\"Answer: l**3 - 21*l**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + b + 215, -b = -u + 4*b + 68. Suppose 0 = -47*m + u*m. Differentiate 0*z + m*z - 4 - 27*z wrt z.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4170953 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**41)**(3\/7)\/(o**(-32))**(17\/3) assuming o is positive.\nAnswer: o**(4177\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 28 = 4*l - 2*o, -l + o = -1. Suppose -4*c - 7*z - 17 = -2*z, 5*z + 35 = l*c. Solve 2*i + 5*k + 18 = 0, -5*i + 6*k - c*k - 12 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 792 and 857648.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 11\/2, 27.1, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + -7 + 5 + -9 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121338 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:00 AM and 2:53 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -10*d - 65. Let k = 3 - 2.5. Let r = 0.4 - 0.3. Which is the second biggest value? (a) r (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 1. Let s(j) = -6 + 3 + 4*j + j**2 - 3*j + 2. Let k(h) = 2*h**3 - 10*h**2 - 10*h + 10. What is g*k(m) + 20*s(m)?\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 819924 and 88076?\nAnswer: 908","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 417 <= 831\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q**2 + 1 + 4*q - 3 + 4*q**2 + 0*q**2 as s*q**2 + v*q + o and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 2\/19 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1357 - 2715\/2. Which is the nearest to m? (a) -2\/5 (b) -19 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -0.1 (c) -13 (d) 1\/9 (e) 5 (f) -10\/59 (g) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2213 to the power of 1\/2, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 25770, 0.1, 1624, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23420 divided by -2.\nAnswer: -11710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 0*q = -q - 970, 0 = -4*r + q + 776. Suppose -5*n + i = 2*i - r, -4*n = 5*i - 151. Is n a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 9. Let u = 9 + n. Factor 6*m**3 - 2*m**3 - 3*m**3 + 4*m - m**2 - 3*m**u.\nAnswer: m*(m - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32)\/(-144) + (-2)\/9 + 5803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/5 + (-9 - (-399)\/45). Let v = -20.54 - 0.46. Which is bigger: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9 = 5*d. Suppose 0 = i - d - 3. Factor 0*z**3 + 0*z + 0*z**2 - 2\/3*z**i + 0 - 2\/3*z**5.\nAnswer: -2*z**4*(z + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1073, 9877, 5 in decreasing order.\nAnswer: 9877, 1073, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 313419397 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 4) in base 10?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*-2*(24\/9)\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*k**2 + 1)*(0*k + 7*k - 6*k) - 8*k**3 + 19 - 19.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -1167*o**3 + o. Let x be w(1). Let i = x + 17503\/15. Let a = i - 1\/5. Is -2 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 - -58. Put -1, y, -2\/5, -2 in increasing order.\nAnswer: -2, -1, -2\/5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -134215 (base 12) to base 15.\nAnswer: -64472","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3600)*2 + sqrt(3600))\/(sqrt(5) - (-1*sqrt(40))\/sqrt(8)) - ((2*sqrt(3630))\/(sqrt(72)\/(-1*sqrt(12))))**2.\nAnswer: -2420 + 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = 4*v + 105 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5635*o + 1163. Is g(8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 42 + 3 + (-4 - -5). Suppose 13*v - 11*v - c = 0. What is the remainder when 44 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/29680 and 35\/5522.\nAnswer: 81946480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -1\/2 (b) -1124 (c) -3 (d) -0.1 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*i - j, 5 = -16*i + 17*i - j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*a - 1)*(2 - 3 - 2)*(-2*a**2 - 3*a**2 - 3*a**2).\nAnswer: 48*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3830?\nAnswer: 2, 5, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 0 + (27 - 14).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -448 + 451. Let h(c) = -c**3 + 5*c**2 + c - 1. Let y be h(5). Factor 9*x**3 - 4*x**2 - 3*x**4 - x**4 + 3*x**s - y*x**2.\nAnswer: -4*x**2*(x - 2)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*r + 8 = 0, 0*r + 8 = 4*f + 2*r. Let s(o) = -o**2 + 11. Let h = -4 - -4. Calculate the remainder when s(h) is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (13 - 4) + (-8)\/2. Let s(z) be the first derivative of 2\/5*z**f - 1\/2*z**2 + 0*z**4 + 0*z**3 + 0*z + 3. What is the second derivative of s(h) wrt h?\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 155 + -4649\/30. Is l at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -612*a + 1802. Let x be b(-12). What is the greatest common divisor of x and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1963073 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 divided by 1559?\nAnswer: 17\/1559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2370352 or -2370123?\nAnswer: -2370352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 233826591 is divided by 2523?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -716*(24\/32 - 1) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*d - 75 + 93 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 21 + 15 + (-32 - -6)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -2 + 12 + -37 - (-152 - -3)?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 63 + 4*m + 2*m)*(8 + 1 - 3).\nAnswer: 36*m - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7593?\nAnswer: 3, 2531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109 + 158. Let i(c) = -c**3 + 74*c**2 + 459*c - 7. Calculate the least common multiple of h and i(-6).\nAnswer: 833","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01475422 rounded to 5 dps?\nAnswer: -0.01475","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of n**3*o**4 + 6*n**3*o**2 + 844*n**3 + 3*n - 5269*o**4 - 3*o**3 + o**2 wrt o?\nAnswer: 24*n**3*o - 126456*o - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u**3 + 6 - 10 - 4*u**3 + 20*u - 12 - 14*u**2. What is the units digit of l(13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10270061 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -267999, -267868, -267741, -267618, -267499, -267384, -267273?\nAnswer: -267166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/(-20) - 1065\/600\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -41*i - 6. Let o(v) = -v**3 - 3*v**2 + 3*v + 7. Let r be o(-3). What is the tens digit of f(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19 in 4, -0.2, 1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 4:48 PM?\nAnswer: 4:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 434.064?\nAnswer: 86.8128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 7, c: 6, y: 1, w: 2}. Give prob of sequence cmd.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2745434725?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 21*z - 120 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 33 and 538692.\nAnswer: 538692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -76, -302, -680, -1210, -1892?\nAnswer: -2726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 99 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of 285*g**4 + g**2\/2 - 179*g - 722. What is the second derivative of p(j) wrt j?\nAnswer: 6840*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 4*w + 49 = -43, -3*w - 9 = 0. Suppose -61*l = -14*l + 799. Let m = k + l. Which is smaller: m or 1.3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the third derivative of m**7\/70 + 4*m**5\/15 + 74*m**3\/3 - 199*m**2. What is the first derivative of k(d) wrt d?\nAnswer: 12*d**3 + 32*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/8 + (-2)\/8. Suppose -22 = -4*s + 6. Let l = s - n. Put 4, -5, l in descending order.\nAnswer: l, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*d - 204 = -2*m, 3*m - d - 312 = 0. Let l(z) = 0 + m*z - 107*z + 3. Does 9 divide l(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6517126.\nAnswer: 2, 7, 11, 101, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14811561 to the power of 1\/2, to the nearest integer?\nAnswer: 3849","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2. Let f(z) be the second derivative of z**3\/6 - 46*z**2 + z - 561. Give j(f(g)).\nAnswer: -2*g**2 + 368*g - 16928","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 3*q)*(-q - 1 + 1) + (3*q - q + q)*(-9 - 5 + 12 + 4*q) to the form t + i*q + a*q**2 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -110, -113, -114, -113, -110?\n\"Answer: c**2 - 6*c - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 - 24627815?\nAnswer: -24627815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6904708100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4466 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0 - 0 - (-2)\/(-2)) + -6515 + 6478?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 + 81 = c. Let t = c + -5206\/9. Let x = 1475\/4 + -2863\/8. Calculate the common denominator of x and t.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 19*u - 55. Let o(m) = -10*m + 33. Let h(t) = 5*o(t) + 3*p(t). Let q(l) = 163*l**2. Give h(q(x)).\nAnswer: 1141*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i + 1 - 1 + (-1 - 1 + 0)*(-i - 2*i + 4*i) + 13*i - 21*i - 12*i - i - 2*i + 4*i + 6*i - 2*i - 3*i + (0 - 3 + 2)*(-2*i - i + i) + 0*i + 2*i - 3*i.\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/22 and 6\/(-4) - 17816\/(-11322).\nAnswer: 7326","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 + 52\/(-8))*(-2 - 0).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.18 - -0.29. Let n = -0.29 - p. Suppose g = 5*x + 13, 16 = -5*g - 3*x + x. Which is the closest to 2\/3? (a) 2 (b) n (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 - 6*z**2 - z + 1. Let g be c(-3). Is -24 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-4)*t*t\/((t\/t**(-1)*t*t)\/t)*(t**0)**(-4\/3))\/(t**(-2\/11)\/t**7)**(-3\/23) assuming t is positive.\nAnswer: t**(775\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2*-2)\/((-10)\/(-50))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2, -3*x + 10*w - 5*w = -34. Suppose 0 = x*p - 3*p - 15. Suppose -7*a + 100 = -p*a. Solve -3*i = 2*i + a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c - 54. Let h be u(-10). Let d be h*2*(-1)\/16. What is the fourth biggest value in d, 0.2, 2, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 7*n - 3*n = -6965, -4*n = -h + 2319. Suppose h = 2*k - 5*c, -4*k + 10*c - 8*c + 4670 = 0. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156728 times 0.79?\nAnswer: 123815.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/((-180)\/(-25))*(-12)\/(-45).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - -1 - -7) + 0. Let u(h) = 2*h - 1. Let b be u(g). Suppose 23 = v - 2*m, 2*m + 75 = 4*v - 47. What is the highest common divisor of b and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -247?\nAnswer: -247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/(-15) + 14\/10. What is the third derivative of 0*d**2 - d**2 - 3*d**3 - d**2 + 0*d**i wrt d?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -961\/7 + 137. Suppose 38*y - 33*y + 5 = 0. Let d be (-2)\/(-103) + -6 + (5 - y). Is d at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 210\/55 - 8\/(-44). Suppose f*u - 2765 = -3*z, z + 4618 = 6*z - 3*u. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131511 and 2081886.\nAnswer: 2229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 927 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/(27\/(18630\/12)). What is the greatest common divisor of 180 and v?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 13*n**2 - 9*n + 40. Let k be v(-12). Let m be 4 - (-9)\/(-2*(-3)\/(-6)). Sort m, k, 2 in increasing order.\nAnswer: m, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/5, 0.01, -0.5, -3 in ascending order.\nAnswer: -3, -7\/5, -0.5, 0.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 + 3)*(1148 + 551*l - 291*l - 262*l) to a*l + y and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -285. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 19*u - 5. Let t be c(3). Let r = t - 32. Let k = r + 1. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3 + 130*q**2 - 1428*q = 0. Calculate q.\nAnswer: 0, 14, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5356473 + -236?\nAnswer: -5356731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cccucudzwuddcu. What is prob of picking 1 u, 1 w, and 1 c?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7990622642 to the nearest integer?\nAnswer: 89390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w**2 + 2*w + 7. Let t(m) = 7*m**2 - 3*m - 8. Let f(n) = 5*t(n) + 6*z(n). What is the units digit of f(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 0 + 0)*(-24*o - 3*o + 3*o)*(2 - 1 - 2)*(-2 + 0 + 0).\nAnswer: -96*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a kilometer in meters?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/2 - 1897*h**2\/2 - 42197*h\/2 - 40299\/2.\nAnswer: (h - 1919)*(h + 1)*(h + 21)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 18*a**2 + 20*a - 21. Let p be h(19). Let b be 0 - (-6 - (-4 - -2)). What is the tens digit of p + b + 207\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46*390\/(-1482)*-19*1\/(-2)?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 2*s + 204, -11*s + 15*s = 12. Solve -j*o + 47*o = -5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 62904471?\nAnswer: 1\/20968157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-198)\/72*(-4)\/196*14.\nAnswer: 11\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f + 119*f + 31*f + 28*f + 16*f.\nAnswer: 198*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 567 - 391. Calculate the highest common factor of 66 and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3563293, 7126581, 10689869, 14253157?\nAnswer: 17816445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t - 6. Let k(z) be the first derivative of 2*z + 84. Let i(y) = -5*k(y) + m(y). Give i(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u + 11 - 2*u - 3 - 5. Let l be i(-12). Suppose 4*d - 13 = l. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*d + 72*d + 55*d - 173*d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*f = -1605 + 2040 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(143) + 1*sqrt(143)*-4)\/sqrt(11))**2 - (sqrt(208)*1 + 4*sqrt(468)).\nAnswer: -28*sqrt(13) + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, e: 5, q: 1, b: 1, c: 1}. Give prob of sequence qbe.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -61*o - 7. Let x(m) = -m - 1. Calculate 3*u(z) - 24*x(z).\nAnswer: -159*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-55)\/(5\/(-2) + (-6)\/(-2)). Let d = -24 - g. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-5)\/((-25)\/4655))\/(0 + 1) is divided by 34?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 1. Let y(c) = -2*c**3 - 9*c**2 + 3*c - 6. Let i(l) = 5*l**3 + 26*l**2 - 8*l + 14. Let t(z) = 3*i(z) + 8*y(z). Give 6*j(m) - t(m).\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -85, -0.3 in descending order.\nAnswer: -0.1, -0.3, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**5\/7 - 15*x**4\/7 - 69*x**3\/7 + 41*x**2 - 312*x\/7 + 108\/7 = 0. What is x?\nAnswer: -6, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + z + 24. What is the units digit of n(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -da?\nAnswer: df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 48*g + 5. Suppose 4*d - 3 = 15 + 2. Let r(w) = 24*w + 3. Give d*r(y) - 3*o(y).\nAnswer: -24*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1074 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -2*u - 2. Let x = u - 8. Suppose 2*t - 2 - 2 = 0. Sort t, -2, x in increasing order.\nAnswer: -2, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282, 284, 296, 324, 374, 452, 564?\nAnswer: 716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*z**2 - 255*z - 30*z - 259*z - 118*z + 2*z**2 + 9*z**2.\nAnswer: 2*z**2 - 662*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*i**2 - 2 + 1109*i - 6*i**2 + 0.\nAnswer: 15*i**2 + 1109*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2258 is divided by 448?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 627 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/5)*d*d\/(d\/d**(-2\/5)*d)*d*(d**(-2\/7)*d*d)**(-16) assuming d is positive.\nAnswer: d**(-918\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 184206, 368412, 552618, 736824, 921030, 1105236?\nAnswer: 1289442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the first derivative of 3*j**4\/28 + j**3\/7 - 243*j**2\/14 - 243*j\/7 + 2243. Factor a(v).\nAnswer: 3*(v - 9)*(v + 1)*(v + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*r**3 - 43*r**3 + 30*r**3.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*t**2 - 4\/15*t - 2\/15*t**4 + 0 - 8\/15*t**3.\nAnswer: -2*t*(t + 1)**2*(t + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 6*l - 13. Let n be f(4). Let q = -9 - -3. Let h(z) = -7*z**2 - 6*z + 3. Let m(k) = 8*k**2 + 7*k - 4. Calculate n*m(c) + q*h(c).\nAnswer: 2*c**2 + c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 6. Let b = x - -14. What is the remainder when b is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 1:04 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 7:55 AM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -555977335 by 213427.\nAnswer: -2605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -10 + 19c?\nAnswer: 18c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*b + 47*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/4, -1157, -1, -17, -1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5736*v - 17222. Determine s(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(6\/11)\/h))\/h*h*h**(2\/39)\/h*h assuming h is positive.\nAnswer: h**(646\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - (sqrt(5184) - (sqrt(5184) - -1*sqrt(5184))))\/(6*-2*sqrt(12)).\nAnswer: -13*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 9:54 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1719\/459059 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-394)\/(-12) + -2)*648\/4050. Which is the fifth biggest value? (a) -1\/5 (b) h (c) -1 (d) 3 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r**3 + 7*r**2 - 7*r. Let s = 34677 - 34663. Let c(p) = -p**3 + p**2 - p. Give s*c(j) - 2*t(j).\nAnswer: 8*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -10, -4, 6, 20?\n\"Answer: 2*i**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9, -3\/4, 5, 3\/8, 1, 643?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 11, -2, -8145, -4, 4, 2 in decreasing order.\nAnswer: 15, 11, 4, 2, -2, -4, -8145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r**3 + 3*r**2 + 5*r + 2. Let z be w(-1). What is the nearest to -1 in -2\/11, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 738695 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 25, 55, 153, 355, 697, 1215, 1945?\n\"Answer: 6*b**3 - 2*b**2 - 6*b + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 10*d = 40 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**3 - 8*a**2 + 3*a - 11. Let t be p(4). Sort 2\/5, t, -2\/5 in increasing order.\nAnswer: -2\/5, 2\/5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -35 and -9817\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 6*h**2 + 7*h + 5. Let q be v(-7). Suppose y + y = 5*j + 81, -4*j = -q*y + 177. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 859 plus -85714871232?\nAnswer: -85714870373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10248, 6567, 2886, -795?\nAnswer: -4476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -180 + 185. What is the nearest to 3 in 4, l, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443685.\nAnswer: 3, 5, 11, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0219 to three dps.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4850929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-23))**33*i**7*i**28*i assuming i is positive.\nAnswer: i**(-723)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xbjjljbibillbxbblll. Give prob of picking 1 i, 1 j, and 2 l.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1119*t**2 + t + 6*t - 24*t + 16*t.\nAnswer: -1119*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 5969?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 6144831797 to the power of 1\/4, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4490488838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 2 = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 4*q**2 - 105*q + 620. Let f be b(9). Let a = 1\/1399 + -1582\/256017. Which is smaller: f or a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/10)\/(24\/(-40))*6. Suppose 4*h = l*u - 12, 10*h = 4*u + 7*h - 11. Solve -3*x = 7 + u for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 3085 - 3089, 0 = 2*v + d - 18 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -312 (base 5) to base 4.\nAnswer: -1102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1124, 1131, 1142, 1157, 1176?\n\"Answer: 2*t**2 + t + 1121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1 - 10\/2. Let x = t - -6. Solve -5*j = 2*m + 21, 5*j - 1 = x*m - 10 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1312050 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l - 47. Let d be m(16). Suppose -k = j - 5, k = 2*j + 4*k - 10. Suppose j*z + 18 = -2. Sort 0, z, d in decreasing order.\nAnswer: d, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 324682?\nAnswer: 2, 67, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -38*c**2. Let x be a(4). Let v(m) = 115*m**2 + 4*m + 7. Let j be v(4). Let s = j + x. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 14*q + 47. Calculate c(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 8*s. Suppose -4*g = -s*g - 20. Suppose 1584 = t - c, g*t - 7343 = -2*c + 542. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -930 + 962. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -87*d - 126*d + 37*d - 2089120000. Round d to the nearest one million.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -1. Let t be u + (-7)\/((-7)\/6). Suppose -5*f + k = -3, 2*f + 2*k = -0 + t. Which is smaller: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107801 divided by 3.\nAnswer: 107801\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of f**4\/6 - 32*f**3\/3 - 105*f**2 - 7250*f. Factor y(l).\nAnswer: 2*(l - 35)*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/2 + 375*p**2\/2 + 8733*p\/2 + 56745\/2.\nAnswer: 3*(p + 13)*(p + 15)*(p + 97)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 4*k = -15 - 1, 2*k = -2. Let q(m) = 15*m + 105. Let x be q(f). What is the greatest common divisor of 270 and x?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1242558 divided by -44.\nAnswer: 621279\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26356.912 rounded to the nearest 100?\nAnswer: 26400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 (base 8) in base 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37797883 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**2 + 1\/30*v**6 + 0*v**4 + 0 + 0*v**5 - 2*v + 0*v**3. What is the derivative of g(f) wrt f?\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/11)*u*u\/((u\/((u\/(u\/(u*u*u**(-5))))\/u))\/u)*u)\/(u**3)**(1\/81))**(-4\/13) assuming u is positive.\nAnswer: u**(152\/3861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12364942 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-3))\/(-1)*((-18)\/504)\/((-15)\/105)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.02 - 0.02. Let b = 6 - j. Let k = 4.4 - b. What is the second smallest value in 4, k, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/13, -4, 0.151, 29\/3 in descending order.\nAnswer: 29\/3, 4\/13, 0.151, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((864\/120)\/(-4))\/(1\/10*2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 7*z + 21. What is the tens digit of a(-15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25932215 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*i + 7667 - 9389 = 0 for i.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*b + 64 = -2*h, 3*h + 71 = -2*b. Let j = 54 - h. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41 - (36 + (14 - 1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10801 is divided by 2698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-30)\/10 + (-172)\/(-22) and -40.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102438 divided by 3794\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 11. What is the second biggest value in -5, 3\/5, -1.3, l?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1501*m**2*x**3 + 169*m**2*x - 54*m*x**3 + 75*x**2 - 3*x wrt x?\nAnswer: -9006*m**2 - 324*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1153\/16 - -35545\/496. Find the common denominator of g and 5\/341.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + -5. Let m be 0 - 0 - -30 - (64 + -67). Let i be (-2)\/(-6) + (-11)\/m. Is i > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1267073329?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.5 + 14.9. Let n = -3.3 + t. What is n rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3324843833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46*i - 70*i + 50*i)*(0 + 3 - 4) + i - 4*i + i + 2*i + 0 + 0 + (0*i - 3*i + 4*i)*(3 + 4 - 5).\nAnswer: -24*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 121*p**3 + p**2 + 923.\nAnswer: 726","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**5 - 48660*l**4 - 125527680*l**3 - 34192533760*l**2 = 0.\nAnswer: -4712, -308, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 5)*(2 - 1 - 3)*(-33*z**5 + 21*z**5 + z**4 - 31*z**5).\nAnswer: -258*z**5 + 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 75990, 304056, 684186, 1216374, 1900614, 2736900, 3725226?\n\"Answer: -k**3 + 76038*k**2 - 41*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -46. Let s = m - 26. What is the least common multiple of s and 33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 10.5492?\nAnswer: -179.3364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13398 is divided by 1914?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + 58?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22\/7 (b) -3 (c) 126\/103\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2. Let c(m) = 70 - 71 + 2*m + 1 + 361*m**2 - 4*m. Calculate c(p(r)).\nAnswer: 361*r**4 - 2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19622, 21081, 22538, 23993, 25446, 26897?\nAnswer: 28346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-70)\/525 - 8\/(-30)) + 22907311\/105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -442, -423, -404, -385?\n\"Answer: 19*q - 461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33039430513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.8819 rounded to 1 dp?\nAnswer: -31.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c + 30*c - 14*c + 3*c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 739179719 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v - 145 = -30*v - 673 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.1967 (b) 3 (c) 1\/3 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -82112 at most -82112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of 9 - 37\/4*n**4 + 2*n + 29\/2*n**2 + 0*n**3. Find the second derivative of h(i) wrt i.\nAnswer: -222*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2020 - -256?\nAnswer: -1542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -111 (base 2) to base 7\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7022.816 decades to centuries.\nAnswer: 702.2816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.87694 rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 82\/3 - 27. Let q = -10 + 16. Is o bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -9*z + 12. Let u(i) = i - 1. Let w(y) = 12*u(y) + x(y). Let n(f) = -f**2. What is n(w(v))?\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-27)\/78)\/(-9))\/(2\/(-8)). Let z = -4.19 - -1.15. Let k = z - -0.04. Which is the third biggest value? (a) -1 (b) q (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -14. Let p = c + 3. Determine i so that 0*i + 3\/4*i**p + 0 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73433 take away -2.769?\nAnswer: -73430.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-7*1\/(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5*i - 308 = 0, 232 = 3*f - 5*i + i. Let g(z) = -72 - 2*z + f. Let k(y) = -9*y**2. What is k(g(m))?\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**2 - 80*s**2 + 187*s**2 - 25*s**2 - 31*s**2 + 2*s - 37*s**2.\nAnswer: 16*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -56795296.\nAnswer: -5\/56795296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24989, -49931, -74869, -99803, -124733?\nAnswer: -149659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 76240?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -128, -199, -274, -353, -436?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 147659.67 minus 825?\nAnswer: 146834.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -313, -715, -1117, -1519, -1921, -2323?\n\"Answer: -402*o + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 267 and 1.\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-92)\/(-22) + 4\/(-22). Suppose s*h - 41 = 3*h. Suppose 2*q - 10 = -b, b + 2*b - h = 5*q. What is the smallest common multiple of 14 and b?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-44 - -4)\/(38\/(-34) + 1).\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p. Let z be -3*(-3)\/9*-12. Let o be 3\/12 + z\/(-16). Let t(q) = 4654 + 6*q - 4652 - 3*q. Give o*t(g) + 6*f(g).\nAnswer: -3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i - 3. Let w be z(-5). Suppose 3*g + o = 11, -2*o + w*o = -4*g + 33. Solve n = -g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -5, 13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 211201100 + -202010?\nAnswer: 210222020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*l**4*p**2 - 95*l**3*p*v + 140*p**2*v + 7*v wrt l?\nAnswer: 48*l**3*p**2 - 285*l**2*p*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 13*s + 102. Let i be q(-21). Let v = i - -612. Let m(f) = f**2 + 0*f + 4 + 0*f. Determine m(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 8*w + 9. Let q be p(-9). What is the second smallest value in q, 2\/7, -1\/9?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 2 (c) 23 (d) -2\/23 (e) -14\/3 (f) -4220 (g) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*y + 4175 = 18*y - 82*y + 22*y for y.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3665122 (base 7) to base 11\nAnswer: 2a1110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4975.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95 = 2*i - 169. Let y(p) = 250*p - i*p - 126*p. Let o(f) = 2*f + 5. Let v(s) = 1. Let q(j) = o(j) - 5*v(j). Calculate q(y(w)).\nAnswer: -16*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 202\/(-2) + (-1 - -1). What are the prime factors of v\/(-6) - 1\/(-6)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*3*sqrt(11))**2 - (2*(sqrt(77) - -3*sqrt(77)))\/sqrt(7).\nAnswer: -32*sqrt(11) + 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -68894.059 - 150\nAnswer: -69044.059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 3*z + 38315. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 256.49 and -0.2.\nAnswer: 256.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 81436615 divided by 1252871\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12\/173 + -2643\/692. Let i = r + 187\/52. Which is bigger: 0.2 or i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4480 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -335 + -451?\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 42749.4\nAnswer: -42749.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**2 - 13*n - 36. Let a be j(-7). Solve -4*i = -10*i - a for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.7 + 4. Let n(z) = z - 3. Let u be n(3). Which is the nearest to 1? (a) f (b) 0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = 3*d - 23 - 22, -80 = -5*v + 4*d. Let l be (-16)\/(-6) + (-8)\/v. Let r(b) = -3*b + 3*b + l*b. Let i(w) = -2*w**2. What is r(i(k))?\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 8*u + 21 = 0. Let m(p) = p**3 - 6*p**2 + 9*p - 5. Is m(u) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = -a, 5*a - 2*u + 0*u - 70 = 0. Suppose 3*y = -3*d + 135, 5*y - 114 - 108 = -4*d. Calculate the remainder when y is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 171 + (-3 - (-10)\/(-5) - 0). Let y = d - 164. Suppose 2*g + 8 = 4*z - 10, 0 = 4*z - 4*g - 24. Solve -5*k + z*t = -y*k + 3, -4*t = k + 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + 7\/(7\/(-2)). Suppose 4*r - r = 4*h + 137, -x*h - 72 = 2*r. Let n = -18 - h. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49*b - 43*b + 22*b)*(0 + 0 - 1).\nAnswer: 70*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -322 + 64 - 84 = -18*d for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n - 3. Let c be g(5). Let h = c - -5. List the prime factors of h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -288*a**2 - 2*a - 72 wrt a.\nAnswer: -576","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 0.081238414.\nAnswer: -0.040619207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.793 and -0.02.\nAnswer: 0.01586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 705 by 5.\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 30 = -2*h - 5, 0 = 5*h + 5*i - 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3690 = -3*v - 2*n, 2*n - 240 = -5*v + 5910. Is (v\/(-3) - 3)\/(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -595 - -104. Let g = -247 - o. What are the prime factors of g?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 126*n**2 - 45*n + 9848. Give a(-125).\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, -4, 3 in decreasing order.\nAnswer: 130, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 919 divide 227959731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -36\/93583 and 109\/994.\nAnswer: 13288786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 57\/5 of a microsecond?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 less than or equal to -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1410798?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -8308732 >= -8308732?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 5092, 5123, 5192, 5317, 5516?\n\"Answer: 3*j**3 + j**2 + 7*j + 5081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsd when three letters picked without replacement from {d: 3, s: 8}.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, q: 3}. Give prob of sequence mm.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1587, -1523, -1419, -1275, -1091?\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -3*r - 0 - 2, -5*x = -4*r - 26 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -1838a?\nAnswer: -18386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tstf when four letters picked without replacement from tffttfftfffffftfts.\nAnswer: 11\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(15\/(-25)*1). Let z(n) = -4*n - 7. Let x(p) = 9*p + 15. Let m(i) = 2*x(i) + 5*z(i). Calculate m(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 1\/6, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-18) - -31*40\/(-72540)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*y - 5*c - 65, -3*c - 48 = 1790*y - 1794*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20121 + 11020233?\nAnswer: 11000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnt when three letters picked without replacement from {a: 1, t: 2, q: 1, j: 2, n: 4}?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*69\/46046*20\/15.\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119872 and 22400.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -364 = -3*g + 2*g + b, 5*g + b = 1850. What is the remainder when g is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5 + 5 = 0. Suppose 0 = -x*w - 0*w + 2. Which is smaller: -1\/23 or w?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -87, -81, 966 in increasing order.\nAnswer: -87, -81, 966","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 11, i: 9}. Give prob of picking 3 v.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.27251 milligrams in nanograms?\nAnswer: 59272510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*f + 2)*(2*f + f - 2*f)*(-16 + 52 + 5) + (-2*f + 0*f + f)*(f - 3*f + 4*f).\nAnswer: -125*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*j = -2 - 2, 4*j = -4. Suppose 4*w = -i*w + 28. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-16) - ((-370250)\/(-80))\/(-25) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/59134 and -35\/16?\nAnswer: 473072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14231, -21, -3\/11, -2\/5 in increasing order.\nAnswer: -21, -2\/5, -3\/11, 14231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -376*x + 3. Let c be z(-3). Suppose -5*j + c = -6*j. Is j\/(-13) - (-1 + -3) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x = -3*z - 18, -2029*x - 4*z = -2033*x + 36 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (132\/1496)\/((-12)\/8)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 1, c: 4, d: 1, h: 5, b: 2}. Give prob of sequence dq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12430 and 50850?\nAnswer: 559350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -34, -52, -78, -112?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 12) in base 11?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5252 (base 7) to base 15\nAnswer: -835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 t when three letters picked without replacement from sgtgt.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3203 rounded to two decimal places?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20681 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0205 and -18.\nAnswer: 0.369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 120292373 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212160039?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07 + -680.92686?\nAnswer: -680.99686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 0 (c) 274 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-55))\/((-66)\/(-484))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8644562113 - 2*h - 8644562113 - 4*h**2.\nAnswer: -4*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 283, 1408\/277, 1\/4 in descending order.\nAnswer: 283, 1408\/277, 2, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - 2. Let d(q) = 3*q - 2*q + 0*q. Let c be d(-1). Put v, 4, c in increasing order.\nAnswer: v, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24581 + 9094 = -738*h - 17494 - 4181 for h.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 120869772497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 133, 275, 417, 559, 701, 843?\n\"Answer: 142*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 1 - 5 + 0 + 3 + 1 - 3 + 1 + (2 + 0 - 1)*(4 + 0 - 3) + 0 + 4 - 3 + 2 - 1 - 3)*(0 - 6*f + 0)*(-1822 + 1822 + 174*f).\nAnswer: 5220*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/((-2)\/(6\/(-3))). Let s(b) = b + 6. Suppose 0*q - 4*q + 8 = 0. Let m(p) = 1. Let j(v) = q*m(v) - s(v). What is j(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*l**3 + 54 + 103*l**3 + 41 - 31.\nAnswer: 25*l**3 + 64","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -672 - -456. Let g = x - -216.00207. What is g rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 11*d**3 - 2 - 2*d**2 - 3 + 4 + 2. Let a = 2 - 1. Calculate the lowest common multiple of s(a) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8003847 to the nearest integer?\nAnswer: 2829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 55559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -64?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 7*j + 6. What is a(5)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**3 - 2*r**2 + 2*r**2 + 2*r + 2*r**3 - 2*r + (-13*r**2 + r**2 + 9*r**2)*(11*r - 2*r - r).\nAnswer: -24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g = -2*t - 5, 2*t + 3*t = -4*g - 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -639, -2015, -4641, -8931?\nAnswer: -15299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 71\/6836?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -10. Suppose 3*p + 0*p + 5*c - 27 = 0, n*p = c + 13. Let q = p + -1. Is q less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -1091*o. Let d(t) = -15*t. Calculate y(d(z)).\nAnswer: 16365*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2030.18 * -386\nAnswer: 783649.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 c when two letters picked without replacement from cccwewwwcccwc.\nAnswer: 35\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1180323*0.2.\nAnswer: -236064.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 1\/5, -2779, -1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 8*t + 2197 = 0. Suppose -4 = 2*k + 4, -3*y - 5*k = -t. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 79*f**2 + 4*f - 3. Let a(i) = -4 + 9 - 3 + 7*i - 9 + 83*i**2 + 70*i**2. Let g(c) = 6*a(c) - 14*w(c). What is the second derivative of g(z) wrt z?\nAnswer: -376","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*5*2*sqrt(130)*-2)\/((6*(sqrt(1440) - (1*sqrt(1440) + sqrt(1440))) + sqrt(1440))*6))**2.\nAnswer: 13\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 13) to base 11\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 152\/37 or 4?\nAnswer: 152\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, y: 1, h: 1}. Give prob of sequence ih.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 32. Let v = 1 + z. Does 4 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -434*d**2 + 734 + 144*d**3 - 143*d**3 - 732 to r*d**3 + p*d + k*d**2 + n and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10224.3 + 10224. Which is the biggest value? (a) 0 (b) 3.47 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30 - 574\/3*n**2 + 13\/3*n**3 - 497\/3*n.\nAnswer: (n - 45)*(n + 1)*(13*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12b4 (base 16) in base 10?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*y - 123, 3*y + 0*l - 103 = l. Let x = y - 32. Suppose 2*s - 30 = 4*p, 3*s = -s + x*p + 80. What is the remainder when s is divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - -111303341?\nAnswer: 111303332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193*x - 1928 = -54*x + 6*x. Suppose 0 + 12 = 4*a. Let l = 8 - a. Solve 4*s = l*p + x - 22, -11 = -4*p + 3*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 9) in base 12?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231366?\nAnswer: 2, 3, 38561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 59\/1120 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 PM and 2:55 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of p**6\/480 + 3*p**5\/80 + p**4\/4 + 9*p**3 - 15*p - 2. Let g(c) be the second derivative of l(c). Factor g(y).\nAnswer: 3*(y + 2)*(y + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 7*f**2 + 4*f - 4. Suppose -8*k - 50 = 2*k. Calculate j(k).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 2. Let w be (4\/(-12))\/((-2)\/(-42)). Let r be l(w). Let o be (-1 + -8)\/(-1*1). Solve 2*a + o = i - 2*i, -15 = -5*a + r*i for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 585554675.\nAnswer: 5, 4481, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1475781445.\nAnswer: 5, 37, 7977197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 8 = 3*a + 2*t, 3*a + 3*t - 6 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 9*l + 18. Let n be c(0). What is the remainder when 53 is divided by n\/(-9) - 21\/(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 20 + -15 - (-3 - -1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9004.\nAnswer: 2, 2251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 5*o**2 - o - 5. Let l be n(4). Suppose -1672 = 3*d - l*d. Suppose d + 697 = 5*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/4)\/(6\/(-216)). Let n = w + -212. Solve -10 = g + 2*m, -3*m = -n*g + m + 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 548 + -533. Solve 3*v = -5*u - 15, f = u - 2*v + 5 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 l when three letters picked without replacement from {m: 3, l: 2, b: 4}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4478 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -5*z**3 + 5*z**2 + 2*z + 3. Let j(a) = 6*a**3 - 4*a**2 - a - 2. Let n(h) = -2*d(h) - 3*j(h). Suppose 14 + 6 = 5*s. Let q = -3 + s. What is n(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/j**0)))\/j)**(-6\/7)\/((j\/(j*j**(6\/5)*j))\/j**0))**18 assuming j is positive.\nAnswer: j**(198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*d + 60*d + 3*w = 16548, -4*w + 11024 = 2*d. Is 92 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -498*s - 5 - 9 + 18 - 4 + 511*s.\nAnswer: 13*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2100100021100 (base 3) in base 6?\nAnswer: 42420100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*p = 3*z + 67*p - 8488, -5*z - 2*p = -14114. Does 7 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2 - 16) + -10 + (-1 - -18)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1\/171?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i = -12, 22*q = 18*q + 4*i + 58 - 54 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7802899393 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3528 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = q - 65. Suppose q = x - 28. Suppose 5*n + x = 1821. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 26*d**2*h**3 + 2*d**2*h**2*m + 5*d**2*h*m + 2*d**2*m + 9*d**2 + 12*d*h**2*m + h*m wrt h?\nAnswer: 156*d**2*h + 4*d**2*m + 24*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 4075 = -3*q. Let g = q + 1663\/2. What is the common denominator of -97\/12 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-35))\/(40\/160).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/42*(-3 - 1)\/(-2)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -26. Let h be (12\/(-3) + q)\/1. Let j be (0 + h - -6)\/(-7). Which is the closest to 3? (a) j (b) -2\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15152 + 15150. Put v, -1313, -0.1 in decreasing order.\nAnswer: -0.1, v, -1313","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 1828a3a?\nAnswer: 1828a38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/27 - (-2)\/9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -103 - 66413?\nAnswer: -66516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 4 - (-5 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3\/3 + 94*m**2\/3 + 128*m\/3 - 34816\/3.\nAnswer: -2*(m - 32)**2*(m + 17)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3552, -3516, -3480, -3444?\nAnswer: -3408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.2, 4, 0.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -25858741*z**3 - 1459289 wrt z.\nAnswer: -77576223*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5, 45, 115, 203, 297, 385, 455, 495?\n\"Answer: -2*u**3 + 27*u**2 - 27*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.6 times -0.065\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 3*t**3 + 1029*t**2 + 88749*t + 87723 = 0.\nAnswer: -171, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7274 + -6940. List the prime factors of g.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 + 21*h - 1670 + 837 + 830 - 21*h.\nAnswer: -h**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + -1 - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-1 - (-9)\/6)*-37?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -4*y - 26, -5422*r + 5423*r + 15*y = -65 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + -1*sqrt(72) - (-4 + sqrt(72) + -2)))**2.\nAnswer: -6912*sqrt(2) + 12672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/((-36)\/(-3)))\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**5\/60 - z**4\/12 + 5*z**3\/2 - 31*z**2\/2 - 22. Let y(t) be the second derivative of o(t). What is the units digit of y(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o - 28*o = -4*h + 80, 0 = -5*o + 2*h + 200. Solve -i + o - 22 = 5*y, 0 = -4*i - 5*y + 27 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (414*v**2 - 2 - 415*v**2 + 0)*(v**2 - 2 + 2 + (-5*v + 5*v + v**2)*(1 + 3 - 3) - 1 + 3*v**2 + 1) to l + p*v**3 + w*v + b*v**2 + c*v**4 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3338251 millilitres to litres.\nAnswer: 0.0003338251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.0818, 1.1, -4?\nAnswer: -0.0818","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*x**3 + 31*x**3 + 34*x**3 + 29*x**3 - 125*x**3.\nAnswer: -3*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 775682.\nAnswer: 2, 31, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.5 in -1, -2\/9, -21, 4, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2178239.\nAnswer: 7, 311177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1189.\nAnswer: 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 1327 + 16829 = 0. Suppose 7*f + 752 = j. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + ((-24)\/(-16))\/(21\/64).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of k**5\/60 + 3*k**4\/4 - 14*k**3\/3 - 104*k**2. Let q be v(-16). Let d(x) = -70*x**2. Let a(z) = z**2. Calculate q*a(s) - d(s).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2190.\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 687 + -691. Let t = -1.7 + 1.7. Sort t, -8, n.\nAnswer: -8, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 946 (base 12) to base 10\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.8 - 8. Suppose l = v - 0*v + 3, -2*l = -3*v - 5. What is the smallest value in v, p, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -39*g - 157. Let m(v) = 36*v + 143. Determine 2*m(o) + 3*u(o).\nAnswer: -45*o - 185","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 s when four letters picked without replacement from {s: 11, w: 6, d: 1, c: 1}.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**5\/35 - 767*w**4\/42 - 512*w**3\/21 - 1692*w**2. Factor q(r).\nAnswer: 4*(r - 256)*(3*r + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d + 16*d + 104 = 8*d. Calculate the remainder when 723 is divided by d.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 2*k + 18, -10938*k + 10936*k - 12 = -2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/15*(0 - 5\/(-14))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25\/9 - -10\/9. Let z = -52 - -51.9. Which is the nearest to z? (a) -0.1 (b) q (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**4\/12 - o. Let j(d) be the first derivative of 2*d**3 + 6. Give p(j(f)).\nAnswer: -36*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20121020 (base 4) to base 13.\nAnswer: 12854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4 (b) 0.269 (c) 7\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 541548 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -50, -2 in descending order.\nAnswer: 0.5, -2, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + -3055?\nAnswer: -3051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*w + 2*v - 44 + 18 = 4*v, 272 - 244 = -2*w - 6*v for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 15 + 29)*(-19*g**2 + 41*g**2 - 19*g**2 + 1 - 5).\nAnswer: 99*g**2 - 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -315*q**4 - 10*q**3 - 2774*q?\nAnswer: -3780*q**2 - 60*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44305464 by 1582338.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(2625\/30)*((-1)\/(-6) - -1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 7*f**2 - 2*f - 1. Let q be r(7). Let n be 15*(9\/q + 1). Solve -4*x + n = -7*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2424*t + 1034. What is the remainder when s(3) is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -12*l**2 - 34*l + 56. Give q(5).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 71 = -12. Let i = u + 62. Suppose -2*q + 2*h + 49 = -h, -83 = -4*q + i*h. Calculate the highest common divisor of q and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.19, 0.2, 44?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1121 in -5\/2, -1, 2, 1.414?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/1359?\nAnswer: -1\/1359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 531935?\nAnswer: 5, 191, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 1, -1\/4, 0.3, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dn when two letters picked without replacement from {n: 6, w: 1, d: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 974081, 1948162, 2922243, 3896324?\nAnswer: 4870405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6139 (base 13) to base 14.\nAnswer: -4c51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1618 is divided by 104?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 11 = -3*c, 1 = -2*c + 3. Suppose -m = b*m. Let d = -56 - -278\/5. Is m less than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-18*v - 2*v - 16*v)*((-3*v**2 - 3*v + 3*v)*(-5*v + 4*v + 0*v) - v**2 - v**3 + v**2) to the form o*v**4 + u*v**2 + n*v**3 + q + c*v and give o.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 807*j*o*y**2 + j*y**2 + 36*j - 3*y**2 - 1 wrt o?\nAnswer: 807*j*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*v + 5818 + 11*v - 5450 to h + l*v and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 10963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17 + -17. Let p be (-2 - l)\/(-2)*0. Suppose -5*u + s = -53, s + 2 + 1 = p. What is the lowest common multiple of 6 and u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p + 680 = 16*p - 94*p for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/3 - 7915*v\/3 + 7916\/3 = 0. What is v?\nAnswer: -7916, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -237, -476, -723, -978, -1241, -1512?\n\"Answer: -4*j**2 - 227*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**3 - 4*b**2 - 2*b. Let u(l) be the first derivative of l**4\/4 - l**3\/3 - 20. Let p be (16\/(-6))\/(18\/(-27)). What is p*u(h) - r(h)?\nAnswer: 2*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 2*j**3 - 7*j**2 - 2*j + 5. What is the remainder when 401 is divided by n(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 13. Solve w*o = -0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of 6071*r**4\/4 + 19*r**3\/6 - 7*r**2 - 50*r + 1. Let v be f(14). Round v to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000386043 rounded to 7 decimal places?\nAnswer: -0.0000386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, 8, 2\/11, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from scsdsrrqdd. What is prob of sequence qcd?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 107409 and 1074090?\nAnswer: 1074090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183508 is divided by 388.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 15 - (4 + -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4225*p**6 - p**5 - 2158*p**3 - 33647651*p**2 wrt p?\nAnswer: 507000*p**3 - 60*p**2 - 12948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14204204 (base 6) to base 13\nAnswer: 13bb3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of 2 + 1\/3*y**3 - 3*y - 3*y**2. List the prime factors of m(8).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + 2)\/(5 - -2). Let k = -2616 + 7847\/3. Which is the nearest to k? (a) i (b) -2 (c) -0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.4 + -17.2. Let p(f) = -f**3 - f**2 - f - 4. Let h be p(0). What is the nearest to 1\/2 in x, h, 11?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from nun?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 123762, -4, 3 in descending order.\nAnswer: 123762, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-302)\/(-28) - 4\/14. Let p = -28911 + 28931. Let p*t**4 + 0 - a*t**3 - t + 24*t**5 - 15\/2*t**2 = 0. What is t?\nAnswer: -1, -1\/4, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + -2.3. Let o = -4.4 - v. What is the second biggest value in -1\/4, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o**3 + 3*o**2 - 7*o - 23. Let x(w) = 3*w**3 + 2*w**2 - 5*w - 15. Let d(j) = -5*t(j) + 7*x(j). Calculate the least common multiple of 4 and d(0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n*n**(8\/11)*n)**(-1\/3))**(3\/8))**19 assuming n is positive.\nAnswer: n**(-779\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9781 - 9637. Calculate the highest common factor of n and 873.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the second derivative of q**5\/5 - q. Let s(d) = d**2 + 6*d + 7. Let z be s(-5). Suppose -5*v - 5 = 2*a, -z*v + 6*a = 2*a - 22. Give g(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 7*l**2. Let k be r(-7). Suppose k*g = -3*g + 3. Suppose -7 = -y + g. Calculate the least common multiple of y and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9873, -9875, -9877, -9879?\nAnswer: -9881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7644 and 378?\nAnswer: 68796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63 or 2\/59?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 6594?\nAnswer: 13188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 + -27. List the prime factors of ((-30)\/y)\/((-3)\/(-8)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 11. Let i be t + (104 - 2\/1). Suppose 10*r - i = 5*r. What are the prime factors of r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**2. Let r(g) be the first derivative of 50*g**2 - 263. What is q(r(l))?\nAnswer: 20000*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (315 + 0*b - 360 - b)*(-5*b + 4*b - 2*b) to the form l*b + s*b**2 + p and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 5:06 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 67.5 (b) -1\/33 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110100101111011110 + 1010010011?\nAnswer: 1110100111001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -9*b**4\/4 + 4*b**2 + 2. Find the second derivative of v(n) wrt n.\nAnswer: -54*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**3 - 21*t**2 - 1858*t + 11232. Determine z(6).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/25 of a litre in millilitres?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1))**(-1\/5)*(x**(-1)*x*x)**43)**28 assuming x is positive.\nAnswer: x**(6048\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 0.2, 0.3, -3791?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3753*v + 3761*v - 6600. What is the remainder when v is divided by 59?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/5 (b) -3164 (c) 0.032\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1\/4850 + -30292\/99425. Let w = -14959\/1560 - 7\/195. What is the common denominator of z and w?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6*z + 6. Let v(f) be the first derivative of -3*f**2 - 3 - 4*f + 4 + f**2. Suppose -5*d + 2*c + 31 = 0, 12 = 57*c - 61*c. What is d*s(m) + 8*v(m)?\nAnswer: -2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34122622 from 0.2.\nAnswer: 34122622.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8*7\/(-112)*(-17)\/(-2). Which is smaller: w or 2.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -161 + 1779\/11. Solve b*t + 12\/11*t**2 + 2\/11 + 8\/11*t**3 + 2\/11*t**4 = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -54*l**2 + 855*l + 10594. Determine o(24).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11687\/19 - 615. Let v = -18406 - -275993\/15. Let y = 17\/3 + v. Which is the nearest to o? (a) y (b) -3\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a millennium in months?\nAnswer: 39000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 12:17 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 560*s**2 - 1114*s + 556.\nAnswer: -2*(s - 278)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)*-3*-2)\/(sqrt(32)\/sqrt(36)) + (-5*(-2*sqrt(544) - sqrt(544))\/(sqrt(8)\/sqrt(4)*-3 - sqrt(2) - sqrt(2)))**2.\nAnswer: 18*sqrt(17) + 2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/11)\/c**27)**(-10) assuming c is positive.\nAnswer: c**(2950\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -85\/2*d**2 + 0*d**4 + 7\/3*d**3 - 42 + 0*d + 1\/5*d**5. What is the second derivative of a(f) wrt f?\nAnswer: 12*f**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 6. Let k be y(-7). Let r(s) = -s**2. Let x(b) = -12*b**2. What is k*x(z) - 10*r(z)?\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 35\/2 + -15. Let l be 3 + ((-62)\/28 - (-3)\/(-6)). Which is the second biggest value? (a) l (b) x (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2680*k**4 - 24*k**5 - 2680*k**4 - 12*k wrt k?\nAnswer: -480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2293.3 take away -234935.1974?\nAnswer: 232641.8974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 715680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02955192 rounded to three dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/22 and 77\/790.\nAnswer: 8690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(11) + sqrt(11)*2)*-3 + -1)**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -1\/2*u**6 + 0*u**3 - 1\/2*u**2 + 0*u + 0*u**5 + 1 + 0*u**4. What is the second derivative of j(a) wrt a?\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 - 509*o\/2 + 12285.\nAnswer: (o - 455)*(o - 54)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.98 - -0.02. Let t = -9.5 + p. What is t rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 472, 863, 1254, 1645?\nAnswer: 2036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22672*w**2 - 31424*w**2 + 86893*w**2 + 59632*w**2 + 70876*w**2.\nAnswer: 208649*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -765*u**5 - 485*u + 2?\nAnswer: -15300*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 7*n - 12 = 0. Let h be n*(-1)\/9 - (-1 + 2). Which is the nearest to 1? (a) -2\/5 (b) -0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*m + 74 = -115 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p**3 + 535*p**2 + 34430*p - 34960 = 0 for p.\nAnswer: -46, 1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 20923 (base 12) to base 11\nAnswer: 2a175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15976989810 - -0.2.\nAnswer: -15976989809.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -16. Let j be (-1)\/1 - (-22)\/14. Which is the smallest value? (a) j (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**4\/5 - 2855464*z**3\/5 - 509604665956*z**2\/5 = 0. What is z?\nAnswer: -356933, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 237, 705, 1411, 2355, 3537?\n\"Answer: 119*c**2 + 111*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65.858205 + 0.872905. Let u = 65 + b. Round u to 3 decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 69.5 in -0.1, -4, -148?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1728102549?\nAnswer: 3, 2677, 215179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1163378 + 8\nAnswer: -1163370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2*w + 3. Suppose -5*s + 275 = w*y, -3*y - 3*s + 195 + 78 = 0. Let d = y + -46. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 585433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13087196 to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, -2\/9, -0.02, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1713762667 to the power of 1\/6, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) + 4*(sqrt(704) - sqrt(704)*-4))**2.\nAnswer: 310464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39987 is divided by 342.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/316 + 677\/14220. Let m(c) be the first derivative of 0*c**3 + 1\/27*c**6 + 0*c**2 - 1 + o*c**5 + 0*c**4 + 0*c. Suppose m(b) = 0. What is b?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n**4\/16 + 11*n**3\/4 + 69*n**2\/8 + 465*n. Factor m(l).\nAnswer: -3*(l - 23)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43243 - 4?\nAnswer: 43236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-1 + 3 + sqrt(171))**2.\nAnswer: -350 - 24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 18*y + 1. Let h be p(2). Suppose -62 = 9*a - 26. Put a, h, 5 in decreasing order.\nAnswer: h, 5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -q**3\/3 + 9*q + 3. What is the smallest common multiple of o(0) and 11?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2536385 to the power of 1\/2, to the nearest integer?\nAnswer: 1593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*59555\nAnswer: 5955.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 93786 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71096074?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 20 in ascending order.\nAnswer: -5, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66 + -63. Suppose -u + 2 = d*t, 15*t - 10 = -5*u + 20*t. Solve -3*i = 2*i - 3*x + 4, 3*i - 4*x = u for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 592 = 5*d + f + 621, 24 = -4*d - f. Suppose 2*g = -122 - 28. Sort d, 4, g.\nAnswer: g, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/79 (b) -2 (c) 2 (d) -0.32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -44\/9 and 35\/1221.\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6)**(-29\/5)\/(r**(-2\/25)*r*r*r*r**(4\/3)))**(-29) assuming r is positive.\nAnswer: r**(84941\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 10 = 19. Suppose 8*m + q = 3*b + 6*m, 5*m = -5*b + 30. Solve 4*v + 5 = b*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -3, 0.12, 5, -2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f + 7*f - 2*f)*(f - 3 + 4 - 3 + (3 - 1 + 4)*(3*f + 0*f - 4*f)) + 2*f**2 - 12*f**2 - 5*f**2 to the form r*f + k + b*f**2 and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165468 and 36?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4 = 4*i, 4*i + 32 = -0*u + 4*u. Let t(k) = 2*k - 6 - 2*k + 2*k. What is the units digit of t(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8008 divided by 8\nAnswer: 1001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-12)\/(-5))\/((-25)\/(-3750)). Let k = 528 - s. List 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 o(i) = -i**2 + 3*i**2 + 8 + 4*i - 3*i**2. Let u be o(6). Which is the nearest to 1? (a) 1\/6 (b) 0.1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042 divided by 29742?\nAnswer: 1021\/14871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -467, -3097, -9555, -21539, -40747, -68877, -107627?\n\"Answer: -283*b**3 - 216*b**2 - b + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1121, -2248, -3375?\n\"Answer: -1127*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x**2 + 21*x - 51. Calculate o(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49610 (base 13) in base 10?\nAnswer: 135044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*q - 415*q - 212*q + (1 + 4 - 4)*(3*q - 2*q - 2*q) + 2*q - q - 3*q to the form v*q + b and give v.\nAnswer: -673","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -32, -3, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 297 + -293. Suppose 3*l = -2*o - 2*o, w*o = -12. Solve l*i = -i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 113\/5 - 1247\/55. Let x = -29\/55 + y. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 6:21 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 PM and 9:53 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3322684736 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 3*h**2 + 11*h - 10. Let j be l(-7). Suppose j = -2*d - 7. What is d rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*l = -610 - 1168. Suppose -2*z = -4*u + 45 + 19, 0 = -2*z. What is the remainder when l is divided by u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 7 - 36\/(-36)) + -12. Let r = -8 - -7.92. Which is bigger: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 15, -5, -53, -129, -233, -365, -525?\n\"Answer: -14*p**2 + 22*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 30*p**2 + 29*p + 3. Let d be w(-29). What is the closest to -1 in 2\/3, d, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 79925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 1:18 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - (-14)\/(-4))*-2*-2. Let n be (2\/4)\/((-1)\/(-20)). Solve 7*s = z*s + n for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -118*u**3 + 662*u**4 - 472*u**4 - 200*u**4 + 82*u**2 + 6*u**5 + 40*u = 0.\nAnswer: -4, -1\/3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200202 (base 3) to base 5\nAnswer: 4011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 638 and 154234.\nAnswer: 98401292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 17\/12*w**4 - 1\/3*w**6 + 0 + 0*w**2 + 0*w**5 + 0*w**3 - 14*w. What is the third derivative of k(j) wrt j?\nAnswer: -240*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**4\/12 + 2*u**3\/3 - 97*u**2\/2 + u + 83. Let v(h) be the second derivative of s(h). Calculate v(6).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -5*v**4 + 210*v**3 - 1985*v**2 - 4620*v - 2420 = 0.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmummmmmmmmmmmmmmum. What is prob of picking 3 m and 1 u?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10635, 10621, 10605, 10587, 10567?\nAnswer: 10545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.047 or -486?\nAnswer: -486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) - sqrt(91)*1)*-3)\/(sqrt(7) - sqrt(49)\/(-2*sqrt(7))) + -4)**2.\nAnswer: -16*sqrt(13)\/3 + 196\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -13*d - 75. Let p be f(-6). Let x be p\/18 + 10175\/(-61410). Is 1 at least x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(125) + sqrt(125)*-1))**2 - (sqrt(60)\/(sqrt(12) + sqrt(12)*1) + 4)**2.\nAnswer: -69\/4 - 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**4\/6 - i**3 + 4*i**2. Let l be d(-7). Solve -2*g + 5*c - 3 - 21 = 0, l = -5*g + 3*c for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3455 + -22?\nAnswer: 3433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2794246 and 24336?\nAnswer: 201185712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3323 * 3\nAnswer: -9969","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2 + 40*s**2 - 2 - 39*s**2 + 5*s. Let o be j(-6). Factor -7*m - 3*m + 4*m + 3*m**2 - m**o.\nAnswer: 2*m*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15\/17 + -296\/85. Let g = 6 + -8. Are g and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 21*n**2 - 87*n + 272. Give p(3).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, a: 12, q: 5}. What is prob of sequence ava?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22 or 9050\/407?\nAnswer: 9050\/407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8873 - 1606 = 119*k - 4276. Calculate the remainder when k is divided by 75.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 77 = -2*h, -2*h + 0*h = 10. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.02 (b) 3.7 (c) -1\/763 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-3 - -6 - 0). What is the closest to 2\/7 in o, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05485916 + -0.078063.\nAnswer: -0.02320384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62.59043 and 2.\nAnswer: 125.18086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 218 times -1.7652\nAnswer: -384.8136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 123*i**2 - 2911*i + 9687. Calculate w(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/5)\/(v**(-1\/4)*v)*v**2*(v\/v**(-2\/7))\/v assuming v is positive.\nAnswer: v**(159\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l - l + 0*l)*(5 - 5 - l)*(-3*l**2 + 2 - 2).\nAnswer: -9*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 50 + -20. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(3\/12 + (-5)\/(-60)). Suppose -2*s = w*s - 1232. Calculate the remainder when s is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b + 3. Let j(s) = 13*s - 6. Let z(x) = -11*i(x) - 6*j(x). Let k = -1 - 4. Let a be z(k). Solve -l + a = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1.3. Let c = -3.99 + -0.01. Put q, 0.2, c in descending order.\nAnswer: q, 0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p = -3*p - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -6300, -6301, -6302, -6303, -6304, -6305?\n\"Answer: -j - 6299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3727201185.\nAnswer: 3, 5, 89, 930637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -158*m**2 - 4*m - 2*m**3 - 2003 + 2005 + 162*m**2 - 7*m**4 to the form b*m**4 + h + i*m**2 + u*m + r*m**3 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -192*u + 5*d = -193*u - 2, -4 = 2*u + 2*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2412 + 1827 - 2*h + 1443)*(3*h - 9*h - 2*h)*(3*h + 4*h - 6*h) to x + w*h**2 + p*h + s*h**3 and give w.\nAnswer: -6864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 58.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.07 times -1.43\nAnswer: -0.1001","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*j**3*k + 112*j**3 - 12*k**3 wrt k.\nAnswer: 3*j**3 - 36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 3*l + 6 = 0, -v + 12 = -2*l - l. Let n(o) = -o. Let p be n(-1). Let d be 1\/p - 1\/1. Solve -j - v + 2 = d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 1.08. Let k = 0.48 - q. Which is the closest to 1? (a) k (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 537887 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.94 - 1. Let w(x) = 15*x + 55. Let f be w(-3). Let o(d) = 8*d - 75. Let u be o(f). What is the closest to -0.3 in u, 3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2126 is divided by 543?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6863, -13725, -20587, -27449, -34311?\n\"Answer: -6862*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -84 * -2\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1745\/78 - -72\/13. Let w(l) = 3*l - 76. Find the common denominator of w(25) and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123327 and 4402.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 728448420.\nAnswer: 2, 3, 5, 7, 1734401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -95, -893, -1689, -2483, -3275, -4065, -4853?\n\"Answer: g**2 - 801*g + 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5105, 5161, 5203, 5231?\nAnswer: 5245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 13*j + 128. Let r be i(-8). Solve 12 = r*q - 28*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 + 128. What are the prime factors of a?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c**3 - 6*c**2 + 20*c + 62. Let l be k(-3). What is the closest to -4 in 4, -1\/4, l, -14?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 7:27 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/6*(-66)\/(-55). Suppose -w = b*s - 4*w - 288, w = -4. Suppose -2*u = -x + 139, 431 = 4*x + 5*u - s. List the prime factors of x.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1884 = -66*a + 275*a + 105*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 19\/318?\nAnswer: 19\/318","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6336 and 72?\nAnswer: 6336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -7 (b) -0.3 (c) 3\/5 (d) 0.3 (e) -27\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, m: 6, s: 4}. What is prob of picking 2 m, 1 s, and 1 x?\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w + 3*w = 1842917 - 101871. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 4 - (-3 + 0)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 5 + -7 + -6 - (-3 + 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 197 + -1380\/7. Sort 29, -4, 1\/10, y in descending order.\nAnswer: 29, 1\/10, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -68 - -67.999715. What is n rounded to 5 dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 90*c**3 + 20*c**3 - 108*c**3 - 109*c as t*c**3 + s*c + m + b*c**2 and give s.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 2*t + 34. Let d = t + -34. Suppose -4*c + 3*c = -2*s, d = 4*c + 5*s. Is c <= -2\/15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 466, 465, 458, 439, 402, 341, 250, 123?\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -1110103?\nAnswer: -1110032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14964, 14973, 14996, 15039, 15108, 15209, 15348, 15531?\nAnswer: 15764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 238387 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -546287 * -18\nAnswer: 9833166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of 10\/3*c**3 + 0 - 4\/3*c**4 - 4*c**2 + 1\/5*c**5 + 7*c. Suppose v(l) = 0. Calculate l.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/147 and -15\/2325946.\nAnswer: 48844866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 38174064 to the nearest integer?\nAnswer: 6179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y**2 - 553*y + 686 = 0. Calculate y.\nAnswer: 14\/11, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -274.7 - -272.89. Which is the second biggest value? (a) 2 (b) l (c) 0.1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1085801 divided by 12?\nAnswer: 1085801\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -28*a**2 + 2450*a + 208498. Determine p(-53).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/7720 and 11\/772?\nAnswer: 7720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 221899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 5*p = 126, -2*t = 3*t - 3*p - 315. Suppose -4*o - t = 121. Let x = o + 90. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t + 11. Let m(v) = 3*v + 21. Let q(o) = -7*c(o) + 4*m(o). Let p be q(1). Let d be 0\/(3 + -6 - -1). Solve d*j - 3*j = 5*x - 6, 4*x + p*j = -3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24432 (base 5) in base 6?\nAnswer: -12351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n + 3*n + 2*n**2 + (-n - 100*n**2 + 194*n**2 - 96*n**2)*(2 + 0 + 0 + (4 - 1 - 4)*(3 - 4 + 0))*(-3 + 6 + 1) in the form u + g*n**2 + l*n and give g.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 * 149.595.\nAnswer: 1495.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the second derivative of -3*d**8\/28 + d**7\/42 + d**4\/12 + 17*d**2\/2 - 23*d. What is the third derivative of o(k) wrt k?\nAnswer: -720*k**3 + 60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34.3 and 12.\nAnswer: -411.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*v**3 + 91*v**3 - 38*v**3 + v - 35*v**3 wrt v?\nAnswer: -114*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a**3 - 57*a**2 - 192*a + 252 = 0.\nAnswer: -14, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40597709 is divided by 62362?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*k - 10. Solve k*r - f - 9 = 8, 0 = -3*r + 5*f + 37 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5310 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 289181 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-174)\/203)\/((-1)\/(-7)))\/(6\/3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 3*q + 4*y, -2*y - 6 + 20 = q. Calculate the remainder when 6\/((-143)\/18 + q) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 9 = 4*d, 4*d - 4*a + 12 = -0*d. Let f = 3 + d. Suppose o = -3*o. What is the nearest to f in -1, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228477 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11360473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zgo when three letters picked without replacement from {z: 2, b: 1, i: 1, o: 1, g: 1, k: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4554 and 414?\nAnswer: 4554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1836 + 2011.8. What is v rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 21775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 - 6*h**2 - 2*h - 10. Let m be q(-6). Suppose -3*z + 12 = 0, 10 = -3*t + m*z + 2*z. Let d(g) = g**2 + 4*g - 3. Give d(t).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*m = -o - 49*m - 3, -1 = -3*o + m for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by 304?\nAnswer: 17\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 0*k = k - 9, -5*k = j - 25. Let s be (-14)\/14 - (-3)\/j. Put s, -3, 0.3 in descending order.\nAnswer: 0.3, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25624782 - -45750782. What is n rounded to the nearest 100000?\nAnswer: 20100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13367093.\nAnswer: 13367093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/924*-6)\/(958\/(-46942)).\nAnswer: -28\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 10:44 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4*n**3 - 120*n + 120*n.\nAnswer: 4*n**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2917 is divided by 688.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -886359, -886255, -886067, -885783, -885391?\n\"Answer: 2*p**3 + 30*p**2 - 886391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897323335.\nAnswer: 5, 41, 1811, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 take away -28531.841721?\nAnswer: 28532.041721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7442?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cbtfffeqccbqtttcbqqq. Give prob of picking 1 q and 1 b.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 55, 89, 95, 31, -145, -475, -1001?\nAnswer: -1765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -256*m - 4302 = 262*m + 9684 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(-13))\/(6\/(-2648)). Let k = i + -102. Let r = 102.7 + -103. Sort r, 3, k in descending order.\nAnswer: 3, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/((l\/l**0)\/l))\/l)**(6\/13)\/((l*l**27)\/l*l)**(21\/8))**(-20) assuming l is positive.\nAnswer: l**1470","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-6 + (0 - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*s - 3255. Let d = s + -1615. Let t = 949 + d. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 6201 = 3*w - 0*w, -2*s = 8. List the prime factors of w.\nAnswer: 19, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 76*x + 1611. Calculate the remainder when v(-35) is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102112 - -21?\nAnswer: -102051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, w: 7}. What is prob of picking 1 b and 3 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 31*s**2 + 3*s + 3. What are the prime factors of r(5)?\nAnswer: 13, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*x**5 + 1596*x**4 - 2*x**3 - 39*x**2 + 112*x.\nAnswer: 240*x**2 + 38304*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/(-36))\/(365\/18396*-6)\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 19*b**2 + 15 - 23*b**3 - 19*b**2 + 61 wrt b.\nAnswer: -69*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 1\/2*f + 0*f**2 - 1\/6*f**3 + 2. Factor t(o).\nAnswer: -(o - 1)*(o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 2816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*o - 0*o + 5*n, 3 = -5*o - n. Suppose p + 5 - 8 = o. Let s be 41\/p + 6\/(-9). What is s rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((2 + sqrt(500))*-2 - -1*(sqrt(500) + -2)).\nAnswer: -20*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 713408 to the power of 1\/2, to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 + 99 = -4*t. Let l = 52 - t. Suppose -2787 = -l*a - 11. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*i = 15, 3*u - u = -2*i - 8. Let m be (-12)\/(-30)*(u + 20). Solve -2*j - 8 = -m*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 + -115 - (7 + (-5 + -48 - 5) + -3)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4 - 5 - (-3 - 0). Suppose -122 = -4*n + m*n. What is the remainder when n is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 - -104. Suppose 0*b = -v*b - 3*b. Suppose -i + 2*s + 3 = -1, i + 4*s - 4 = b. Solve -3*q - 11 = i for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 5*h + 3. Let q be p(5). Suppose 2*m = -4*z + 94, q*m = z - m - 46. What is the highest common divisor of z and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12652977 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03494, -119\/76, 0.2 in descending order.\nAnswer: 0.2, -0.03494, -119\/76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 9*m + 203 = -8*m, -3*m + 297 = 3*v. Suppose 5*q - q = v. Which is smaller: q or 27?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 327, 1204, 2657, 4680, 7267, 10412?\n\"Answer: -x**3 + 294*x**2 + 2*x + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 2*y + 112, -2*c - 61 = -5*c - 5*y. What is the smallest common multiple of 6 and c?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 7:55 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 3*p + 27. Give k(0).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - r + 17 + 1 - 21.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*m - 5*c, 5*m - 12*c + 30 = -7*c for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-122)\/(-183))\/((-2)\/(-3)). Let z = -2\/361 - 700\/3971. Which is bigger: x or z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 279040, 1116134, 2511284, 4464490, 6975752, 10045070, 13672444?\nAnswer: 17857874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -282554?\nAnswer: 141277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + 15015315?\nAnswer: 15015303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1238, 789, 40, -1009, -2358, -4007, -5956?\n\"Answer: -150*i**2 + i + 1387","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110677 is divided by 2508.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 - 12.2. Let y = -1.2 - l. Put 5, y, 0.043, 3 in decreasing order.\nAnswer: 5, 3, 0.043, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 481?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 10 - -8 - (-9 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, x: 4, v: 2, n: 1, a: 3}. What is prob of picking 1 v and 2 x?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1114 and 8419612?\nAnswer: 1114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3 - 113\/2*g + 55\/2*g**2 = 0?\nAnswer: 3\/55, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -457, -1195, -2215, -3517?\nAnswer: -5101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3053*u - 52344 = 63993 - 6429 for u.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.257, -2, -208?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19380 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 0*j = -14*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 403865.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 20 = h, -5*h + 5*z = -0*h - 20. Let d be 3 - 2*12\/(-8). Suppose 2*k = d*k. Solve h = 2*w - k*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-3))\/((-20)\/(-30)). Let c(u) = -u**3 - u**2 + u. Let g(r) = -2*r**3 - r**2 + 3*r + 2. Let m = 5 + -2. Calculate m*c(h) + z*g(h).\nAnswer: -h**3 - 2*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 3*x**2 + 5*x + 1. Suppose -w = 3*r - 3, -2*r - 4*w = -0*w + 8. Let h(v) = 5 - 2 + 0*v**2 - v**r - 7*v + 1. Let b be h(-8). Give o(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 359246 + -211393. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.8 - -1.2. Let l = -13.6 + d. Round l to 0 decimal places.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13064 - 14945 = -18*p - 15*p for p.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-45)\/(-1)))\/((-1)\/(231\/11)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 6:33 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0525 and -1.8.\nAnswer: -1.8525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*c + 2*c - 8*c - c**2.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 40872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes before 6:41 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 1:18 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 3*h + 0*h)*(-3*h**2 - 3*h**2 + 5*h**2) + (h + h - 5*h)*(2*h**2 + h - h).\nAnswer: -7*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26238 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 5*j**2 - 8*j - 9. Let g be r(10). Let w = -406 - g. Suppose 4*d = 5*u - 207, -u + 4*d = -6*u + w. What are the prime factors of u?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -15*n + 76. Solve -3*x = -r + 9, -6 - 17 = n*x - 5*r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 44, 51, 58, 65, 72?\n\"Answer: 7*a + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40 + 43. Let z = 1.36 - 1.46. What is the fourth biggest value in 40\/7, r, 3\/5, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/40 and 29\/12.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*k - 15, 2*d - 5*k + 25 = d. Suppose d = 4*b - 21138373 + 5538373. Round b to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 9*i - 13*i. Suppose 0 = -i*q - h + 57 + 10, 2*h + 82 = 3*q. What is the highest common divisor of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.108 + 0.108. Suppose -q + 4*q = -27. Which is smaller: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4\/63 (b) 1\/2 (c) 2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-2)\/6)\/(80\/(-23040)) is divided by 50?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**2 - 34*j - 7. Let t be m(-11). Suppose 12 = 2*a - 0*i - 4*i, 2*a + t = -4*i. Solve -4*c - 10 = a for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - (-184)\/(-7))*-63.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 32\/12*(-69)\/(-2). Suppose 5*y = y + n. List the prime factors of y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101101100110101000110 (base 2) in base 10?\nAnswer: -1494342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -4*t + u + 4, -3*t - 4*u + 4 = 0. Suppose -2*g = a - 2 + 6, 5*a + t*g = 10. What is the remainder when a is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1881438, -1881125, -1880826, -1880547, -1880294, -1880073, -1879890, -1879751?\n\"Answer: -i**3 - i**2 + 323*i - 1881759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-5) + (-144)\/260. Let z be 2\/(-5) + (-6)\/10. Which is the third smallest value? (a) -1\/2 (b) z (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 38*f - 97. What is the tens digit of c(28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 + 3*p**2 - 4*p - 8. Let v(t) = 5*t**3 + 2*t**2 - 4*t - 8. Let l(a) = 5*v(a) - 6*z(a). What is the smallest common multiple of 20 and l(8)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 26*d**4\/7 + 3500226*d**3\/7 + 7269618*d**2\/7 + 4038662*d\/7 + 269244\/7 = 0.\nAnswer: -134622, -1, -1\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 0*f + 3 - 4 - 11*f - 2. Let c be k(-4). What are the prime factors of (4 - 3)*1*c?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -8 - 16940\/(-9) - 10\/45?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.006843 times -19\nAnswer: -38.130017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**3\/13 - 1160*y**2 - 30166*y\/13 - 15084\/13 = 0 for y.\nAnswer: -1, 7542","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -1252 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r + 5*q - 30 = 0, 0 = 4*r - 2*q + 14. Let v be (r\/(-20))\/(6\/(-5)). Let l = v + 55\/24. Find the common denominator of l and 89\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 5646.\nAnswer: 11292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**3 - 2*u**2 - 9*u - 2. Let p(c) = c**3 - 3*c**2 - 6*c. Let v be p(5). Suppose -3*q = -8*q + v. What is the units digit of f(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2992 is divided by 73?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/5 and 38\/456047.\nAnswer: 2280235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2311*t + 159. What is the thousands digit of x(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 8*o**2 + 3*o + 7. What is q(-7)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.03 and -1.26281982704?\nAnswer: 1.29281982704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**8\/56 - m**4\/12 + 13*m. Find the third derivative of h(p) wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 4:50 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-7))\/((-12)\/70*82\/246).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 22*t - 6. Let l(g) = 2*g**3 - 44*g - 11. Give 6*l(n) - 11*p(n).\nAnswer: n**3 - 22*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -352453*d + 13519*d - 4383*d.\nAnswer: -343317*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (6 + -5)*((-70)\/7 + 9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*z**3 + 49*z**3 + 40*z**3 + 39*z**3 + 46*z**3.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -27b + 4?\nAnswer: -277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 18 + 7 + -20.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -2. Let z(y) = -9*y - b - 9 + 10*y. Let c be z(3). Let p(a) = 2*a. Let t(m) = 8*m. What is c*p(g) + 2*t(g)?\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2122021 (base 3) to base 13.\nAnswer: -b50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - -13?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**3*x*y - 39*n**2*x*y**2 + 2*n**2*y**2 - 2*n*x*y**2 - 4*n*y**2 wrt n?\nAnswer: -12*n*x*y - 78*x*y**2 + 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, 2, -64\/5, -42, 82?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 3 + -2)\/(-1). Let p(r) = -3 + 0*r**2 + k - 4*r**2 + r**2 - 2*r - 2*r**3. Calculate p(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9184 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -6) + (-2 - -1) + -9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 1 - (-41 - -60)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/105915 and -103\/17250?\nAnswer: 5295750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3*sqrt(49)*5 + sqrt(1225)*-5)\/((sqrt(28) + -5*(sqrt(56)\/sqrt(2) + sqrt(28) + sqrt(28)))\/(sqrt(4) - 5*(sqrt(4) + sqrt(64)))))**2.\nAnswer: 43200\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 8 = -3*k. Let g be (20\/15)\/((-1)\/k). Suppose g*z - 29 = 23. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*3\/6*-1. Let y(x) = 16*x - 1. Is 8 a factor of y(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.13 + -4.13. Let x = -2 - l. Let j = x + -1. Which is the nearest to j? (a) 2 (b) -5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -38*u**4 + 8*u**2 - 5*u - 5. Let d(k) = -39*k**4 + 7*k**2 - 4*k - 6. Let q(g) = 5*d(g) - 4*z(g). Find the third derivative of q(h) wrt h.\nAnswer: -1032*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(4*1)*4\/(-9)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.01 and -3838.\nAnswer: 38.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1120*s + 25. Let p(f) = 2*f + 1. Calculate m(c) - 25*p(c).\nAnswer: 1070*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 18*c**2 + 17*c - 32. Let g = -11862 - -11843. Give j(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -2\/9 (b) -0.4 (c) -97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -1\/45362?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q - 53. Let d(a) = -13*a - 107. Let k(x) = 4*d(x) - 9*y(x). Let j be k(-20). Solve -2*c = 5*n - 1 + 7, 4*n = -3*c - j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2448593 by 7.\nAnswer: -349799","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 192 and 4629?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -70.2.\nAnswer: 35.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-8)\/i)\/i*i)\/(i*i\/(i*i**(-5))*i))**(2\/31)*((i\/(i\/(i\/i**4*i*i)))\/i**(3\/8))**(2\/39) assuming i is positive.\nAnswer: i**(-5333\/4836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -473, -890, -1305, -1718?\nAnswer: -2129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 d when four letters picked without replacement from {b: 3, d: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.112 - -0.088. Which is the fourth biggest value? (a) 1 (b) 1\/4 (c) -4 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 1)*((-2)\/(-16) + (-1240)\/(-320)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*q - 4480 = 81*q. Which is the second biggest value? (a) -5 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20576074 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -101, -72, -41, -8, 27, 64, 103?\n\"Answer: d**2 + 26*d - 128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*l + 46*l - 195*l**3 + 8*l.\nAnswer: -195*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20.6 + 20.5. Let i be -6 + 9 - (4 + -6). Which is the closest to h? (a) i (b) -10\/11 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4\/9 + 46\/63. Which is the smallest value? (a) u (b) 0 (c) -2\/11 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 839*l + 118226. Give w(-141).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 113 - 25 = 0. Let o(c) = 3*c**2 + c - 3. Let q be o(2). What is the highest common divisor of q and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 171, -396, -1519, -3198?\n\"Answer: -278*o**2 + 267*o + 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -14*f**2 + 10*f. Let r(g) = -17*g**2 + 12*g. Let i(l) = -5*r(l) + 6*y(l). Let t(c) = -7*c. Calculate i(t(d)).\nAnswer: 49*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + y**2 - y - 1. Let v be b(-1). Let p(r) = 8*r**3 - 2*r + 2. Calculate the remainder when p(v) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12924465 by 95.\nAnswer: 136047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -816*h**3 + 24*h + 36. Does 52 divide b(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -375715900 divided by 7?\nAnswer: -53673700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/28)\/((-160)\/(-168))*(-5)\/(-2)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.23 - 0.07. Is -2\/9 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1246.732 tonnes in micrograms?\nAnswer: 1246732000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.91?\nAnswer: 0.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - u**2 + 13*u - 3. Let p(m) = -3*m**3 + m**2 - 38*m + 8. Give -8*i(o) - 3*p(o).\nAnswer: o**3 + 5*o**2 + 10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.691 + -0.691. Put -0.3, -3, o, 4 in increasing order.\nAnswer: -3, -0.3, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -380 > -5315\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -238\/3 or -78?\nAnswer: -238\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-42)\/70)\/((-3)\/15) + 8. Solve 4*u = r + v, -4*u + 47*r - 9 = 42*r for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 19. Let l = 522 + -532. Determine q(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 588631?\nAnswer: 588631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 3*f - 4 = 0, 5 = -m - 0*m - 5*f for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 388.6 + -389. Sort 4\/5, 3, -14, l in decreasing order.\nAnswer: 3, 4\/5, l, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/5 + 262067*l**2\/5 - 2096609*l\/5 - 471735 = 0 for l.\nAnswer: -262075, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (178 + 189 - 307)*(-1 - 1 + 0)*(-3*m + 6*m - 4*m) in the form s*m + v and give s.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2662 + -2663. What is the closest to -2.5 in -10, 2\/21, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (267 - 254) + 0 + -6 + 107?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/4)\/(g**11*g))**14 assuming g is positive.\nAnswer: g**(-357\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*1\/2)\/(-13*54\/(-234))?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 6, a: 1, h: 3, i: 3, s: 1}. Give prob of picking 1 c and 3 h.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -107016.131 - -106950. Round n to zero dps.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(-11)\/(-3) - 4.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243900 rounded to the nearest ten thousand?\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.117*-3\nAnswer: -0.351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d = -33. Suppose 4*c + d - 43 = 0. Calculate the least common multiple of 2 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/65148 and 36\/6853.\nAnswer: 5016396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*u - 3072 - 1384 = -1094*u + 48*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 + j - 4. Let q be y(-3). What are the prime factors of 0 - -6*3\/q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 708759, 708758, 708757?\n\"Answer: -l + 708760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z**2 - 2*z - 1. Let r be o(-1). Let l = 2206\/5 + -441. Which is the second biggest value? (a) r (b) l (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2362746363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/41 (b) 4\/5 (c) -0.1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 8\/30*15\/10\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141 is divided by 54.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344734923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5\/4, 5, 4, -45?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 263.7817ns to microseconds.\nAnswer: 0.2637817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6139923 to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24603?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, m: 4}. What is prob of picking 1 h and 1 m?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + r**2 + 4*r - 10*r)*(-2*r**2 + 2*r**2 + 5*r**2).\nAnswer: 10*r**4 - 30*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/230, -3041, -68, -3?\nAnswer: -1\/230","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -208 (base 9) to base 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 132 is divided by 68?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 8*l - 12. What is the third derivative of -5*s**3 + 7*s**l + 24*s**3 + 97*s**2 wrt s?\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 28 = -6*q. What is the third derivative of -v**q + 3*v**3 + 808 - 802 + 22*v**4 - 3*v**3 wrt v?\nAnswer: 528*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93 divided by 196\nAnswer: -93\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -13*v**2 + 38*v - 1. Let h(n) = 16*n**2 - 38*n + 1. Give -2*h(l) - 3*k(l).\nAnswer: 7*l**2 - 38*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - -2)\/((-4)\/44). Is ((-58)\/(-4))\/(m\/(-88)) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16760 (base 9) to base 7.\nAnswer: -45456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505 is divided by 86?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151 + -151. Suppose -2*h + 10 = u, 5*j - h + 1374 = -291. What is j rounded to the nearest 10?\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*x = -66*x + 160 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 11\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -104201 - -574.28937?\nAnswer: -103626.71063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 5*i = w + 1665, -5*w + 2791 = 3*i. Let v = -553 + w. Put -5, 4, 1, v in ascending order.\nAnswer: -5, 1, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53 + -36. Suppose p = -3*s - s + 18, r = 5*s + 4*p. Let f be 76\/14 - (-27)\/(-63). Solve 3*b = -v - 20, s*b = f*v - v - 5 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g - 269 + 86 + 83 + 85 + g. Let z(a) be the third derivative of a**4\/24 - 7*a**3\/6 + 5*a**2. Let p(i) = -3*k(i) + 7*z(i). What is p(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-61)\/(-427)*(-1)\/(-1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6357265 a multiple of 549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**3 - 3*u**2 + 3*u + 3. Suppose -9 = 3*k, 0*f + 5*f - 2*k = 21. Let q(s) = -2 + 225*s + 11*s**f + 8*s**2 - 6 - 233*s. Calculate -8*b(r) - 3*q(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 3*s - 2. Let n be v(-1). Suppose 7*w + 41 - 552 = n. List the prime factors of -2 + 1 + -2 - (1 - w).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*u + 84*u = -33*u - 1590 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 658?\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 140165281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 858*x**2 - 4091*x - 1117. What is z(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -843911*y**2 + 246761*y wrt y.\nAnswer: -1687822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8811602.\nAnswer: 2, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/775164 and 161\/7751640?\nAnswer: 7751640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 492*h - 74333 - 37861 = -793*h - 1154*h for h.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*s - 27*s + 9. Suppose y + s*j + 2 = -0*y, -5*y + j + 6 = 0. Solve 4*n - 11 = y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 5*a - 7. Let x be i(-5). Let h(z) be the third derivative of z**5\/60 + z**4\/4 - 2*z**3\/3 - 2*z**2. Let y be h(x). Is y bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40404 and 158337504.\nAnswer: 1108362528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -92.765 + 93. Let b = 0.19 - h. Round b to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 149.3305641 to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3352 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 10) + (33 - 246963) + 10. What is g rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9464, -37873, -85228, -151529, -236776, -340969?\nAnswer: -464108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -207, 2, 0, 5 in decreasing order.\nAnswer: 5, 2, 0, -1, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2073.\nAnswer: 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4796*i**2 + 2546*i**2 - 1511*i**2 - 2963*i**2.\nAnswer: -6724*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -377.82 - -372. What is i rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6721, -6657, -6551, -6403, -6213?\n\"Answer: 21*g**2 + g - 6743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*24*(-4)\/3. Let m = f + -38. Let p = -97 - m. Solve -29 + 4 = p*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -3*z - 36. Suppose z*f - 5*f - 1996 = 0. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 25*b**2 - 47*b + 23. Let u be g(23). Sort u, -1, 5.\nAnswer: -1, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 50*l - 39. Let b be i(2). Solve 5*r + b = 41 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -w - w. Let t = -76539 + 229618\/3. Sort 34, w, t, -2 in decreasing order.\nAnswer: 34, w, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:45 PM and 4:58 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5495 and 69965.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 162 - 82. Let x = -80.73 + f. What is x rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.13188 grams in milligrams?\nAnswer: 30131.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 71 - 72. What is the closest to 4\/9 in -0.1, -1\/2, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 22\/3. Let r = -1.1 - -4.1. Let n = -37\/3 + 13. What is the closest to r in 2, m, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59597 = 3*g - 4*v, -108799 = -5*g - 2*v - 9436. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzzzzyuyzy. Give prob of sequence zuy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - 18 = 11*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*y**3 + 22*a*y + 8*y**3 + 4 wrt a.\nAnswer: -2*y**3 + 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -53092, -53091, -53090?\n\"Answer: z - 53093","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1268 (base 13) to base 16\nAnswer: -a3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqi when three letters picked without replacement from {v: 1, g: 1, q: 1, i: 6, z: 1, k: 3}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 62 - 143 = 42*j, 3*l + 5 = -4*j for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19456\/13 or -5\/1246?\nAnswer: -5\/1246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, l: 2}. What is prob of sequence qll?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3084?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 412853531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 6351, 4, -3, 2, 43 in increasing order.\nAnswer: -3, 2, 4, 43, 6351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 0, -35, -94, -177?\n\"Answer: -12*x**2 + x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -1001010200201?\nAnswer: 1001010200202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k\/(k*k**(-5)\/k))))\/(k**6\/k)*k*k*(k**(-6)*k*k)\/k*k*(k*k**1)\/k*(k**(-2\/29)*k\/((k*k**(-4\/9)*k)\/k*k))\/(k**4\/(k\/(k**(-3)*k))) assuming k is positive.\nAnswer: k**(-424\/261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 279292713?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.489 + 0.011. What is the second biggest value in 1\/3, -0.6, o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 32\/17145 and -103\/3064764.\nAnswer: 137914380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*0.084.\nAnswer: 0.0252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 426 - 855*u**2 - 838*u**2 - 509 + 1692*u**2.\nAnswer: -u**2 - 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 4 - 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 397594573 and 10293.\nAnswer: 3431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3 - 48\/(-14) - 40342\/(-161) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(5 + 0)*-2. Is -2 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5471\/2 or -2736?\nAnswer: -2736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -661, -570, 1013, 4832, 11631, 22154?\nAnswer: 37145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 217404 or 217407?\nAnswer: 217407","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -325*j + 1955. Let w be c(6). Suppose 0 = -4*f - z + 15, -z = f - 4*z + 6. Solve 2 = w*q - f*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.5 - -0.42. Let b = 0.44 + v. Let y = b - 0.3617. Round y to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 34440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 3*u + 0 - 3 - 8*u + 0. Suppose 2*b + s = 0, 4*s = 3*b + 2*b. Let a(n) = -1 + 0*n + b*n - n. Calculate -4*a(q) + g(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236851 is divided by 1704.\nAnswer: 1699","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23.13 - 23. Let p = 0.03 - l. Is p at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/7)*a**(-17) assuming a is positive.\nAnswer: a**(-116\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 146568322 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1773374767 + -2?\nAnswer: -1773374771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 410587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -243 + 3?\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*q = 77*q + 105*q + 535 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3.18 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -385*p + 385*p + 8*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 972.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -289 + 278.14. Let s = -10.8598722 - w. Round s to 5 dps.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 859033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22946 and 154?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + a - 2)*(9*a**2 - 6*a + 6*a + 3*a**2 - 2*a**2 + a**2 + (a + 4 - 4)*(-4*a + 0*a + 6*a) + (2*a**2 + 2*a**2 + a**2)*(-3 + 3 - 18)).\nAnswer: -77*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -549*a**3 + a**2 + 18*a + 42571 wrt a?\nAnswer: -1647*a**2 + 2*a + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 10:44 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 611 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.3 + -27.7. Let v = 30.00000229 + c. Round v to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)*v**(3\/2)*v*(v\/(v\/(v\/((v*v**(-1\/7))\/v)*v)))\/v**2)**0 assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -47*s + 63. Let f(z) = 12*z - 16. Let v(w) = -9*f(w) - 2*k(w). Let n(d) = -d + 1. Give 12*n(g) - v(g).\nAnswer: 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.45542 - 51.58142. Let r = u + 0.126. Do 0 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1805\/1541?\nAnswer: 1805\/1541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 0 + 2\/2. Let a(z) = 3*z + 9. Let t(k) = -4*k - 13. Let c(x) = 7*a(x) + 5*t(x). Let w be c(3). What is the greatest common factor of r and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110310 + 20130010?\nAnswer: 20013100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or 0.19?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(48\/32)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17196 and 72?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 7*g - 3*m + 75, -g + 13 = 5*m. Let o be 2200\/g + 8\/(-12). What is o rounded to the nearest ten?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -31, -5, -0.4 in ascending order.\nAnswer: -31, -5, -3, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**2 + 0*o**2 + 0*o**2)*(-23*o - 52*o - 52*o).\nAnswer: 254*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 21461*r**2 - 1510*r. Let u(y) = y**2. What is d(u(b))?\nAnswer: 21461*b**4 - 1510*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3)*(30 + -9) + -2. Factor k*p**2 - 3 + 10*p**2 - 27*p**2 + 8*p**2.\nAnswer: 3*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11613, 46639, 105081, 186939, 292213?\n\"Answer: 11708*z**2 - 98*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Expand (122 - 564 + 204 - 558)*(-l**2 + 3*l**3 + l**2).\nAnswer: -2388*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1956 + 1996. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 7, 2\/29, 0.5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23\/3 - -8. Let r = 1177163\/6979 + 42\/997. Let f = -169 + r. What is the third biggest value in 5, f, x?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**4 + 21*d**3 - 64*d**2 + 6*d. Let w(s) = 3*s - 151267*s**2 - 2*s + 2*s**3 + 151265*s**2. Let n(h) = -6*w(h) + z(h). Determine r so that n(r) = 0.\nAnswer: -13, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 - 3*k + 1. Let i(n) = 2*n**2 - 3*n. Determine -4*i(j) + 3*z(j).\nAnswer: -2*j**2 + 3*j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -13*n - 1. Let y be t(1). Suppose -3*u = 7*x - 9*x + 54, -x + 67 = -4*u. Which is smaller: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 349767?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2370602235 to the power of 1\/2, to the nearest integer?\nAnswer: 48689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ph when two letters picked without replacement from {p: 1, h: 5, f: 3}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 64 + 18.086.\nAnswer: 82.086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*u - 28 = -410 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*((-7)\/3)\/(-7))\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 2*v - 2 = 0, 5*f + 4*v = 9 + 17. Let i(y) = 2*y**f - 4 + 16*y - 13*y + 1. Is i(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 871 + -563. Find the common denominator of (88\/w)\/(9\/959*4) and 113\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -411.5 + 411. What is the closest to 0 in -1, 466, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**4 + 2 - 468*p**2 + 468*p**2 - 22*p**3 + (-p**3 - 3*p**3 + 2*p**3)*(p - 2*p - p) - p**4 + 3*p**4 - 3*p**4.\nAnswer: 5*p**4 - 22*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9973 divided by 645.\nAnswer: -9973\/645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 i when two letters picked without replacement from ighuluw?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.297 to 1 dp.\nAnswer: -30.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -2*l + n - 32, -4 = 3*l + 5*n. List the prime factors of 3\/(-2) - (276\/l + 0).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -4, 0.5, -2.9, -2\/11, 4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 + (-2425)\/(-50))\/(6\/(-24))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 35. Suppose -4*f + 0*f = -l*p + 94, -5*f = 25. Suppose -9*b = -775 + p. List the prime factors of b.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 divided by 2361.\nAnswer: 47\/787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 413*k + 129*k + 674*k.\nAnswer: 1216*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-17) + (-8804)\/1054.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.6 (c) 336 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 52\/(-12) + (-3)\/(-9). Sort c, 4, 2.\nAnswer: c, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14255 is divided by 2072.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 5*t**5 + 13615490*t**4 - 27231060*t**3 - 163386070*t**2 - 190617025*t - 68077500 = 0.\nAnswer: -2723100, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*p + 9, 0*x + p - 1 = -x. Let t be 4\/(-14) - 62221116\/(-21). Suppose -x*o + 187090 = -t. What is o rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10499029147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2270 and 240?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9258910?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 10196?\nAnswer: -1\/2549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + v - 20. Suppose -4*k - 16 = -5*b - 0*k, -v*b - 20 = 5*k. Calculate the remainder when 0 + -1 - b - -11 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (21\/9)\/(38\/(-114)). Let n(s) = -4*s + 6. Determine n(b).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j + 27. Let y be c(-7). Factor -8*w - w**2 + 18*w - 3 - y*w.\nAnswer: -(w - 3)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112144 to the power of 1\/2, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/21 + -4\/7. Let k(x) = -x**3 - x**2 - 4*x - 4. Let v be k(-3). Put y, v, 0.1 in descending order.\nAnswer: v, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1134075468*m**3 + 24637363 wrt m?\nAnswer: 3402226404*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 - 8 - 123*d**2 - 96*d**2.\nAnswer: -219*d**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes before 5:46 AM?\nAnswer: 1:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 4:57 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*i - 15 = 9. Let g = -8 + 8.3. Let b = -642 + 642. What is the fourth biggest value in b, g, i, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1507*v*y**6 - 4338*v*y**3 - 290839*v + 2*y**2 + 8 wrt y.\nAnswer: -180840*v*y**3 - 26028*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c**3 - 22*c**2 + 12*c - 36. Give g(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 AM and 4:11 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n + 16*n + 4*n**3 + 2 - 10*n + 18*n**2 - 8*n**4.\nAnswer: -(n - 2)*(2*n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 7*t + 6. Let n be a(6). Let b = 114 - 52. Let c = b + -65. Sort 0.4, c, n in descending order.\nAnswer: 0.4, n, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -25*q + 4. Let d = 18 - 25. Is i(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -179, -476, -855, -1322, -1883, -2544, -3311, -4190?\nAnswer: -5187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*-1*(-3)\/(-2). Let m(o) = 4*o + 0 + 4 + 5. Let z(u) = u - 5. Let a(q) = q - 4. Let r(f) = -7*a(f) + 6*z(f). Calculate t*r(s) + 2*m(s).\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b**3\/2 + 2815*b**2 + 800800*b + 4704000 = 0. Calculate b.\nAnswer: -560, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 443, 700, 957?\n\"Answer: 257*z + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from jjjjjjff?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x\/(x*(x*(x**(-1\/15)*x)\/x*x)\/x))*x*x\/(x\/x**(-6))*(x*(x*x\/(x*x*x\/((x\/((x\/x**(-3\/14))\/x*x))\/x)))\/x)**(-14) assuming x is positive.\nAnswer: x**(434\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8*t**(-4\/5))\/((t*t**(11\/2)*t*t)\/((t\/(t*t**(-5\/2)))\/t*t)) assuming t is positive.\nAnswer: t**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7230 = -8204*g + 7963*g for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**2 - 50*j - 22*j + 3*j**2.\nAnswer: 2*j**2 - 72*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 126557 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 144327 + 144327 = -4*u + 2*u, 2*g - 20 = -6*u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a kilometer in meters?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2066037 divided by -3?\nAnswer: 688679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -292*y - 6105. What is l(-21)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27\/10 + -21\/10. Which is the closest to -1? (a) n (b) 3\/2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4580, 4581, 4582, 4583, 4584, 4585?\n\"Answer: v + 4579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15501 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 233 + 33 = 3*o - 4*i, 82*i = -o + 3686 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (11\/(-88) - 21\/24)\/(-3*1\/(-6)). Let z = -0.02 - -0.05. What is the third biggest value in -0.4, b, z, -2\/15?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 432 (b) 0 (c) -2\/61 (d) -3 (e) -2\/15 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111100 - -1100100100011?\nAnswer: 1100101011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 139987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/(((-14120)\/(-192738))\/((-2)\/(-7)))?\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2211437 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48*q - 29*q**3 + 48*q)*(-82 + 48 - 16) to the form r + y*q**3 + u*q**2 + i*q and give y.\nAnswer: 1450","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15881996 - 15881996 + z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.5, -1\/9, -0.5, -2\/17?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73451 = -11*p + 27940 + 106652. List the prime factors of p.\nAnswer: 18913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 r when four letters picked without replacement from oruroooooo.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128152 and 166?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/11)\/(w\/w**(-2\/27))*(w**23*w)\/(w**(-1\/17)*w) assuming w is positive.\nAnswer: w**(110542\/5049)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 t, and 1 f when four letters picked without replacement from phhpfythwyp?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 16. Let v be j(-11). Solve v*l - l = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 160914?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/188512 and -13\/20?\nAnswer: 942560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 12:03 AM?\nAnswer: 9:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 834812.3g to kilograms.\nAnswer: 834.8123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -203 (base 4) to base 5\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 456 = 5*k, 0*k - 5*k - 4*m - 452 = 0. Let t = k + 97. Let w be (8 - 2)*20\/3. Calculate the greatest common divisor of w and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4 = -3*u. Let n = -3 + 7. Suppose -3*x - 20 = -u*z - 5*x, -n*x = -3*z - 7. Which is smaller: -2\/7 or z?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**3 - 4*m**3 + 4*m**3)*(-5*m + 5*m + 11*m - 3) + (-2 + 2 + m**2)*(-4*m**2 - m**2 - m**2).\nAnswer: -28*m**4 + 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 8.242726 micrograms?\nAnswer: 0.000000000008242726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuuiiuuuuuuuiiuu. What is prob of sequence uu?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 - -10000010?\nAnswer: 10001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 + -5. Let c(u) = u**3 + 12*u**2 + 18*u - 25. Let z(k) = -k**2 - k. Let x(q) = n*z(q) + 2*c(q). Determine o so that x(o) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17931060 divided by -11235?\nAnswer: -1596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/4, 14.413, -15\/19 in increasing order.\nAnswer: -15\/19, 5\/4, 14.413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 17760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.774 + 12.12677.\nAnswer: 14.90077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-12)*(-60)\/(-90)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -101*o - 672 + 672 + o - o + o + (0 + 2 + 0)*(3 - o - 3) - 212 + 212 + 13*o to the form q + c*o and give c.\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -51 - 8*g + 19*g - 14*g. Let s be i(-17). Solve -j + 7 = 2*z, 2*j + s*j = 3*z - 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6302473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21380*a**2 + 5*a + 21377*a**2 - 5*a - 2*a**3 + 4*a**3.\nAnswer: 2*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c**2 + 22*c + 39. Let s be l(-9). Let h(t) be the third derivative of 3*t**2 + 1\/36*t**4 + 2\/9*t**s + 0*t - 1\/90*t**5 + 0. Solve h(b) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 61, 1, 45, 4 in increasing order.\nAnswer: -1, 1, 4, 45, 61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-62)\/3)\/(8*14\/(-168)*1).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v*v**(-6\/11))*v*v**22\/v)\/(v\/v**(-3\/7))**32 assuming v is positive.\nAnswer: v**(-1784\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**3*q - 4*m**2*o + 45*m*o*q + 17*m - 2*o - 1352*q - 1 wrt m?\nAnswer: 3*m**2*q - 8*m*o + 45*o*q + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 78\/11 - 76\/11. Which is the closest to s? (a) 0.5 (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 50\/200*(-4)\/5.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 667948 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45447 + 79424. Let o = l - 21518. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34332 to the nearest integer?\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**4\/4 - 5*d**3\/6 + 3*d**2\/2 - 6*d. Is q(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 185, 159, 121, 65, -15, -125, -271?\n\"Answer: -h**3 - 19*h + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/9 or -101\/11?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b = 19*b - 20. Let u = 2 + -2. Suppose u = 3*g - 14 - 1. Calculate the highest common factor of g and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3544, 0.3, 5, -65\/4, -1 in decreasing order.\nAnswer: 5, 0.3, -1, -65\/4, -3544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 + 97. Factor 24*i**2 + i**3 - 12*i - c - 5*i**3 - 29 + 3.\nAnswer: -4*(i - 5)*(i - 2)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153.2 + 153. Is 0.79 at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*u - 4*p + 7, -3*u - 4*p + 5 = 0. Let w = u - -25. Suppose 0 = -y + 6*y + w. Is -3 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -16\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -0.5, -1\/100, 0.3?\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -12872*a + 6443*a - 3 + 6446*a. Let n(z) = 18*z - 4. Give 4*n(v) - 5*y(v).\nAnswer: -13*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 429\/(-2) + 68\/(-136). Let n = w - -267. What is the least common multiple of n and 6?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 2*q**3 + 10*q**4 + 1 - 12*q**4 + 3*q**3 to g*q + l + h*q**4 + m*q**2 + v*q**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 66467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-60)\/(-35))\/((-2)\/(-7)). Let d(j) = 2*j + 8. Suppose 3*p + 7 = -5. Let t be d(p). Solve t = -4*s - 5*y + x, -2*y - 5 = -1 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0478 - -0.2478. Which is the closest to 3? (a) -0.5 (b) 3 (c) l (d) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 6 = -1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 5*n**2 + 6*n - 4. Let t be m(-6). Let f(u) = u**2 + 360*u - 3. Let l be f(0). Sort t, 1, l, -2 in descending order.\nAnswer: 1, -2, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21348374 + 21348384.00000008. Let c = -0.5 - 9.5. Let v = q + c. What is v rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29351577, -29351581, -29351585, -29351589?\nAnswer: -29351593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 58 = -2*n, 2*q + 3*n = 14 + 3. Let a(t) = -t**2 - 10*t + 16. Let r be a(-11). Solve -v = -r*w + q, 2*v - 3*v = -w + 5 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.95 + 0.2. Let q = d - 0.25. Let r = 842 - 842. Which is the closest to q? (a) r (b) -2\/3 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 2 c when four letters picked without replacement from {w: 4, b: 2, k: 9, c: 4}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + 16 - (-5 + -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 - 50 = 6*w. Is 9 a factor of 1*(0 - 1) + (w - -18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 76*q**2 - 1. Let p be z(-1). Calculate the remainder when 29 is divided by 20*(-5)\/(p\/(-6)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*v - 4*v + 3*v)*(-4*v**2 + 6*v**2 - 4*v**2)*(-6*v + 3*v - 5*v) to the form a + n*v**4 + c*v**2 + y*v**3 + g*v and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002728 rounded to seven dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10f (base 16) to base 8.\nAnswer: -417","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15)\/((-225)\/459015)*1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*c**3*u - 2*c**3 - 6949*c + 189*u wrt u.\nAnswer: -23*c**3 + 189","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2206551?\nAnswer: 3, 23, 113, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -5*j + 4*c, -14 = -5*c + 1. Suppose -3*y = -4*u - 0*y + 126, -3*u + 96 = -3*y. What is the lowest common multiple of u and j?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 27 = 4*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (39 + -42)\/(1507248\/(-502413) - (-3)\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4683 divided by 5\nAnswer: 4683\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1886*l**4 + l**2 - 324*l + 2.\nAnswer: -22632*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - 33. Let u = -20 + c. What is the smallest common multiple of 1\/((-2)\/4) - -12 and u?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -6, 28, 97.15?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*(-7)\/(-10))\/((-1025)\/2050)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 18*v + 60. Calculate the remainder when h(-22) is divided by 5\/(-1)*589\/(-155).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 17 = -3*b - 183, -w = 2*b - 86 + 71 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 17. What is the remainder when q(-8) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(21) - ((sqrt(168) - sqrt(168)*-1 - sqrt(168)) + sqrt(168))\/sqrt(8))\/sqrt(7))**2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117\/2 + -367\/6. Let x(t) = -t**3 + t + 1. Let q be x(-1). Let y be -1 + (q - 1) + -3. Which is greater: y or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.00439 and -6.2?\nAnswer: -0.027218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(2*sqrt(99) + sqrt(99)) - (-1*sqrt(99) + 5)) + 5 + (-1*sqrt(99) - sqrt(99))*-2)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4) + (-6)\/(-6) + 822\/(-564)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - k - 6. Suppose 5*g - 5 = -7*c + 2*c, 0 = -3*c - 2*g. Let s be (1 - 1)\/(4 + c). What is u(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 6. Let y be (-5)\/(-2)*8\/(-10). Which is the second biggest value? (a) y (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -12)\/515*(10 - 17 - -5)?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1380?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 197*x - 1003*x + 102*x - 189*x.\nAnswer: -1287*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(72)*3)**2*2.\nAnswer: 46656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -185866 or 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 529, 1092, 1669, 2266, 2889, 3544, 4237, 4974?\nAnswer: 5761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 210*d**2 + 45*d + 45. Let m(s) = 19*s**2 + 4*s + 4. Give -4*b(c) + 45*m(c).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12 - 17 - 6 + 11*x - 47*x. Let h be l(17). Let f be (-2 + h)*16\/(-10). Round f to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -110 + 109. What is the units digit of k + 0 + 2 + 60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 102?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 4, 1 = 3*r - k - 22. Let z be (-13)\/(-2)*r\/((-28)\/(-16)). What is the smallest common multiple of 20 and (-195)\/z*-1*4?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3124.729 millennia to decades.\nAnswer: 312472.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33.14 - 0.34. Let i = r - 32.7. Which is the nearest to 4\/7? (a) -1 (b) 2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 90, 1, 5 in decreasing order.\nAnswer: 90, 5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 9:22 PM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21.5? (a) 4 (b) -0.4 (c) -1 (d) 3 (e) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3572, 3802, 4108, 4484, 4924?\nAnswer: 5422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/64 and 87\/2084?\nAnswer: 33344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -44338 at most -44350?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 7358*k**3 + 17*k**2 - 16*k + 1. What are the prime factors of f(1)?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922854 is divided by 458?\nAnswer: 442","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*x**3 - x**3 + 4*x**3 + (-7 + 7 - 18*x)*(-5*x**2 + 0*x**2 + 4*x**2) - 5*x**3 + 3*x**3 + 5*x**3.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 4:24 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 146*g - 303*g + 148*g + 85 wrt g?\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.156 in -0.8, -2\/9, 4, 1.3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n - 1326 = -4*g - 1324, 25 = -5*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*s + 6 - 1, 2*h + 2 = 2*s. Calculate the smallest common multiple of 63 and -70*(0 + h\/6)*-3.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 4 (c) 0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -20*o + 2363. Calculate the highest common factor of o and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18407249 less than -18407249?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-27) + (-61)\/(-9). Suppose -4 = -2*p - w + x, 0 = 5*p - 2*w - 32. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*k = 70*k + 170. Suppose 4*y + k = 2*a, -3*a + y + 52 = -19. Put 2\/5, 4, a, 2 in ascending order.\nAnswer: 2\/5, 2, 4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from {l: 5, o: 1, r: 1, j: 1, k: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (1 + (-4 - 0)) - 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*i**(-4)*i**(-5)*(i**(-1\/2))**(-5\/6)*i**2*i\/i**(2\/5)*(i\/i**0)**18 assuming i is positive.\nAnswer: i**(781\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -29, -48, -67, -86, -105?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 j when two letters picked without replacement from lujefjlueyfjufe?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 146362 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/2? (a) -2\/17 (b) -5 (c) -8 (d) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42215466, -42215457, -42215448, -42215439, -42215430, -42215421?\nAnswer: -42215412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**4\/10 + 4*k**3\/45 - 16. What is z in s(z) = 0?\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119477640 a multiple of 1095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195656412?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -5, 3, 1\/10?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-9 + 2)*(-6)\/21. Suppose -3*k + 4*z + 6 = -19, -k - 2*z + 5 = 0. Let t = -5 + k. Solve -r*q - 16 = -t*a, 2*a + 4*q = -2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106 - 34. Suppose -i + 3*l + r = 0, -2*i + 5*l - 64 = -3*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -203*o**2 + 243*o**2 - 198*o**2 in the form z*o + q*o**2 + a and give q.\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -474.441 rounded to the nearest integer?\nAnswer: -474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 + 13*h**2 - 14*h + 3. Let m(u) = -7*u**3 - 27*u**2 + 29*u - 3. Let l(f) = 2*m(f) + 5*q(f). Calculate l(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28502.4 + -28502. What is the fifth smallest value in -6, -2\/7, 3, -2, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + (3 + 4 + (-1*2*sqrt(1008) - (-3 + -3*sqrt(1008))))**2 + -4.\nAnswer: 240*sqrt(7) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14414491 a multiple of 299?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11373 and 39917.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 127058 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 8*j - 6 - 8*j**3 - 5*j - 6*j**2 - 3*j. Suppose -3*o = o - 20. Let l(n) = 7*n**3 + 5*n**2 + 5. Determine o*p(c) + 6*l(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 237 + -61. Calculate the highest common divisor of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6342652 + 4?\nAnswer: 6342656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37058060551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*o - 10*o. Suppose 213 = o*v - 51. What is the greatest common factor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 34 + 40 = 0, 2*q = -v - 22. Let g(j) = j**3 - 5*j**2 + 5*j - 2. Let a be g(4). Sort a, q, 3.\nAnswer: q, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -7*s**3 - s**2 - 114*s + 7. Let h(d) = -8*d**3 - 2*d**2 - 115*d + 8. Determine 5*h(x) - 6*j(x).\nAnswer: 2*x**3 - 4*x**2 + 109*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43501 (base 7) to base 16.\nAnswer: 2a7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 + 107. Solve 2*f = z - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 6.9. Let m = -1 - v. What is the third smallest value in 4, 5, m?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*28\/7 + -2 + 61. Calculate the common denominator of -32\/15 and (-25)\/k + 20\/(-12).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 d when three letters picked without replacement from dccc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18.8 + -17.81. Round n to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -36*t**4 - 11*t**2 + 15*t. Let z(y) = -7*y**4 - 2*y**2 + 3*y. Let v(q) = -2*r(q) + 11*z(q). Find the second derivative of v(j) wrt j.\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6914 is divided by 3398?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 16*-26.961\nAnswer: -431.376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 38595645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 271113 >= 271129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(10)*-3*2))**2*-5 + 1 + sqrt(50) + (1 + sqrt(50) + sqrt(50) + 2 - sqrt(50))**2 + sqrt(50).\nAnswer: 40*sqrt(2) + 1075\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 103.999897 + -104. What is y rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -349 less than -13.0793445?\nAnswer: 335.9206555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 14*z - z**3 + 852 + 999 - 1854 - 6*z**2. What is w(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g. Let f(b) = 3*b. Let m = -11 - -6. Let k = 2 + m. Let q(z) = -2*z**2 - 6*z - 5. Let v be q(k). What is v*a(p) + 16*f(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1476*u + 1540*u - 112541504. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14187, 4752, -4683, -14118, -23553, -32988?\nAnswer: -42423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 greater than or equal to 1\/1888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -201438000 rounded to the nearest one million?\nAnswer: -201000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 27*g**2 + 56*g - 14816. Let q(i) = -i + 6. Let k(f) = j(f) - 4*q(f). Differentiate k(l) with respect to l.\nAnswer: 54*l + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-24))\/(3\/348)*-1. Let 33*d**2 + 15*d**2 - p*d**2 + 4*d**3 + 22 - 29*d - 16 = 0. What is d?\nAnswer: -6, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4.5269 - 2.2569. Which is the smallest value? (a) -0.2 (b) q (c) 1 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 387544397 to the nearest integer?\nAnswer: 19686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 596204.\nAnswer: 2981020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -131.7 + 131.6. Sort h, 0, 3, 1280.\nAnswer: h, 0, 3, 1280","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - 18*g - 2375. Give i(59).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 AM and 11:25 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away -4086413617?\nAnswer: 4086413620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4016 - 1845 + 2572 = 93*k for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 2*r + 36. Let p(t) = 2*t + 5. Let k(c) = 5*p(c) - u(c). Let q be 0 - (1 + -5) - -10. Let h = -25 + q. Let x(j) = 3*j - 4. Give h*x(y) + 4*k(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**4 + 0 + 0)*(1669*z - 2 - 1521*z + 4).\nAnswer: -296*z**5 - 4*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*j = -18*j + 7*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -413*k - 4 + 394*k + 4 + k**2 as s*k + u*k**2 + i and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4 + 7\/(1050\/(-481)) and -151\/30?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125564719 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 475 + -2 - (-5 + 8 - -2). What is the highest common divisor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1 + (5 - 1). Let z(n) = -7 + 10*n + n**3 + 4*n**2 - 2*n**3 + 0*n**j. Let y be ((-109590)\/(-58448))\/((-10)\/(-32)). Calculate z(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**4 - 7*g**3 + 2*g**2 + 2*g - 689. Let d(f) = 6*f**3 - 3*f**2 - 3*f + 689. Let q(o) = -2*d(o) - 3*n(o). What is the derivative of q(b) wrt b?\nAnswer: 12*b**3 + 27*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*y**4 - 3*y**4 + 4 - 2 - 2*y**4 - y**4 + 5*y**4 + (y**2 + 0*y**2 - 3*y**2)*(-2 - y**2 + 2).\nAnswer: 6*y**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**4\/4 + 844*c**3 - 1068504*c**2 + 105*c. Suppose h(r) = 0. Calculate r.\nAnswer: 844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*v**4 + 6*v**4 - v**4 + (-7*v**2 + v**2 - v**2)*(-3*v**2 + 3*v**2 - 2*v**2).\nAnswer: 25*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15835820 and 166894?\nAnswer: 1274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - d**2 - d + 77. What is the units digit of h(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -0.3, 644 in descending order.\nAnswer: 644, -0.3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.065 and 0.169929.\nAnswer: -0.011045385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 332876, 332929, 333010, 333113, 333232, 333361?\n\"Answer: -t**3 + 20*t**2 + 332857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -11*p + 43. Give z(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -303, -320, -349, -396, -467, -568, -705, -884?\nAnswer: -1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5521 by -1.\nAnswer: -5521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is c42 (base 13) in base 12?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*g = -281*g + 4976 for g.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3870 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -53 equal to -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q**2 - q**2 - 2*q**2 + (-6*q + q + 3*q)*(0*q + 5*q - 3*q) - 17 + 4318588*q - 4318588*q - 133*q**2.\nAnswer: -136*q**2 - 17","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = 3*h - 3*u - 3, 3*h - 1 = -u for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(153) + (sqrt(153) + sqrt(153) + -1 - sqrt(153)) + -5))**2 + 1 + ((1 + sqrt(153))*5 + sqrt(153))**2)*-6.\nAnswer: -173172 + 14472*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 463, 465, 467?\nAnswer: 469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(14\/(-16)*-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + (-1)\/(60\/552). Let u = 4\/67 + -170\/603. Which is the smallest value? (a) w (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10622\/3 or -3541?\nAnswer: -3541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3580672 and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.052 in -0.0192, 0.5, 0, -0.1, 0.64?\nAnswer: -0.0192","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 262 = -5*b, -4*v = -b + 21 + 44. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 3:07 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 47 - 47 - (4\/(-6) - 13\/3). Which is the fourth biggest value? (a) o (b) -14 (c) -0.1 (d) -1\/42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -52494, -209979, -472452, -839913, -1312362, -1889799?\nAnswer: -2572224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -63 (b) -3 (c) -55\/3 (d) 0.0125 (e) -2 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 18*g**3 + g - 1. Let p(j) = j**2 + 3*j + 3. Let s be p(-2). What is the tens digit of d(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**2 - 808*p + 1632 = 0.\nAnswer: -204, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 w when three letters picked without replacement from {e: 6, w: 1, a: 3, b: 1, i: 3, f: 4}?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1210 (base 4) to base 11\nAnswer: -91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8.997 and -0.1.\nAnswer: 8.897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 406 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 77 + c + 34 + 11581*c**2 - 11578*c**2. Is t(35) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 2*y + 42, 0 = 3*y + 3*p + 24 + 18. Let f be 1 - (18\/y)\/(-1). What is the nearest to 2 in f, 5, -2\/13?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**2)**(-4\/9) assuming b is positive.\nAnswer: b**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 5*d - 13958*d**2 + 13985*d**2.\nAnswer: 27*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 408 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 2\/9 (b) -1\/14 (c) 112876\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -w, 8 = 5*t - 3*w + 2. Let f(k) be the second derivative of 0 + 0*k**2 + 1\/3*k**3 + 1\/6*k**4 - t*k. What is the second derivative of f(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4097861 is divided by 38297?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -5*x**2 + 4. Let w(v) = -6*v**2 + 5. Let p = 5 - -3. Let z = 13 - p. Let l(q) = z*y(q) - 4*w(q). Let i(b) = -4*b**2. Determine i(l(s)).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(2\/11)\/(b\/b**(13\/2)) assuming b is positive.\nAnswer: b**(125\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -5 (b) -75 (c) 112158\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**4\/4 + 3*l**3 + 7*l**2\/2 - 4*l + 16. Let m be p(9). Let c = -49 + m. What is the remainder when 56 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 61. Let j = 263.8 + -264. Which is the closest to v? (a) j (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, q: 3, l: 4, t: 2, d: 1}. Give prob of picking 2 k, 1 t, and 1 l.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -681537.92*0.4\nAnswer: -272615.168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6\/4*(8\/(-44) + (-820)\/(-6930))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2117093 is divided by 129?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -7*t + 117. What is the remainder when 34 is divided by d(13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from {a: 1, r: 3}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116570 and 150.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k*k\/k**(-3)*k*k\/((k*k\/(k\/(k**6*k)))\/k))\/((k\/((k\/((k\/((k\/(k*k**2))\/k))\/k))\/k))\/k**6))**(2\/107))**(2\/11) assuming k is positive.\nAnswer: k**(12\/1177)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - 60\/5*-21. Let g = 696 - b. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-3 - 1) + -12 + 14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28819824 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 25 - 52. Let d = n - -3. Let x be (12\/(-16))\/(3\/d). Solve -9 = -x*y + 3*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111 - -111. Let t(c) be the second derivative of 0*c**5 + 0 + 12*c + 0*c**3 - 1\/15*c**6 + 15\/2*c**2 + h*c**4. Find the first derivative of t(d) wrt d.\nAnswer: -8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-23)\/(-11) - (5 - 30\/10). Which is smaller: t or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 2\/11 (b) 0 (c) 8 (d) -1\/18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11263 - ((-44)\/(-352) - (-33)\/(-8)). Which is smaller: -11258 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2603185 and 89765.\nAnswer: 2603185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, -3, -6, -3, 12, 45, 102?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 24, 0 in decreasing order.\nAnswer: 24, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 170 + -62. Let d(b) = b**3 + 4*b**2 - 5*b + 2. Let z be d(-5). Suppose -z*c - m + 9 = -4*m, c - 37 = -5*m. What is the highest common factor of l and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -5*k + 1191, 152 = k + 5*d - 70. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8292*h**2 - 20890*h**2 + 12599*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 + 8*k - 4. Let c be u(6). Let l(o) = -c*o**2 + 210 - 210. Let z(q) = -12*q. Calculate z(l(p)).\nAnswer: 96*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316 divided by 2.\nAnswer: -158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3426394, -6852785, -10279170, -13705549, -17131922, -20558289?\nAnswer: -23984650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (13 - 4) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-5))**(-37))**(-30\/13) assuming o is positive.\nAnswer: o**(-5550\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4703, -10084, -15465?\nAnswer: -20846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1374810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 60 - 36 = -4*f, -4*w = -2*f - 12 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 1 - 2 = -3*y, -4*y + 8 = 2*b. Suppose b*j - 6*j + 16 = 0. Suppose 3*c = -3*n - 6, n + 23 = 4*c + 6. Solve c = j*h - 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -75 + 91. Suppose -3*w = -5*y + 6, 2*w - 18 = -w - 3*y. Suppose 0 = -w*c - 3*x + 3 + 12, c - 3*x - 1 = 0. Solve 0 = -c*j - u - 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 PM and 5:27 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y - 2*y + 176 = 0. Let u = -34 - y. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -9 - 2*-18) + (-21)\/3\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**6\/40 + 7*k**5\/60 - 5*k**4\/24 - 2*k**3\/3 - 2*k**2. Let x be d(4). Is x\/(-3) - 1\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65458952?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 130 = -21*p. Let n be (-2)\/p - (-32)\/10. Let b = 7 + -5. What is the biggest value in -3\/7, b, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biuuyde. Give prob of sequence eby.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56464, -56463, -56462, -56461?\nAnswer: -56460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2687*a - 110189. Give m(41).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2. Let j(z) = -z**3 + 7*z**2 + 2. Let k be j(7). Suppose -5*l + 3 = -4*l. Let q(h) = -2*h + k*h + 2*h - l*h. Give x(q(o)).\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19366?\nAnswer: 2, 23, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -102203*h*w**2 - 41*h*w + 21*h + 2*w - 2 wrt w?\nAnswer: -204406*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 853650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/16*(64\/6)\/4. Solve -j = g*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.9 + 4. Let f = x + 1.5. Let q = -2.9696 - 0.0304. What is the biggest value in f, q, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 21656042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31113296 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*(-41)\/((-1025)\/(-75))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -28, 4, -4 in ascending order.\nAnswer: -28, -4, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3416 times 17.2\nAnswer: 58755.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.063 + 0.1021. Round s to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -1\/4 (b) 4\/121 (c) -1\/7 (d) -6\/7 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*v + 8 = v, 4 = -3*s + 4*v. Suppose 0 = -u + 4*p + 4869, -s*u - p + 18084 = -1358. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -71002, -71013, -71026, -71041, -71058?\n\"Answer: -z**2 - 8*z - 70993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**2 + l. Give h(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(60\/(-21)))\/((-13)\/26).\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9688?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.02, 3, -4, 0.107, 2 in decreasing order.\nAnswer: 3, 2, 0.107, -0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xyqqxfxx. What is prob of picking 3 f and 1 y?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o - 8. Suppose 0 = 3*n - 5 + 17. What is g(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289160015 is divided by 96386669?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/4)*p*(p**7*p)\/p)\/(p**(-7)*(p\/p**(2\/7))\/p) assuming p is positive.\nAnswer: p**(421\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(-16)\/(-264) - 150339\/(-11) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 5 + 12\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + v + 4*v - v - 2*v + 4*v - 3*v + 0*v + (0 - 4 + 3)*(3 - 3 - 2*v) + 9*v + 0*v + 3*v.\nAnswer: 17*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = -5*i - 4, -3*r + 14 = 1869*i - 1867*i for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4192?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -45816193660554 and -0.2?\nAnswer: 45816193660553.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 AM and 1:42 PM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - 0. Let n = 1\/835 - 1679\/7515. Which is the closest to n? (a) -1\/4 (b) -0.5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1539 + 2274. What is the remainder when c is divided by 144?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 465426 and 3957642.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1726*d + 45860 = -472*d - 110198 for d.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 9531 times 296\nAnswer: 2821176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 10*u - 18 - 4*u + 0. Let d be z(8). What is the remainder when (d*-1)\/(6\/(-8)) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3 + (1 - (-12)\/(-9))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 2. Let r be t(-7). Suppose q = r*q. Let l(j) be the third derivative of -j**4\/24 - 3*j**3\/2 + j**2. What is l(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -5*o + 6. Let g(z) = -6*z + 7. Suppose -3*i = 3*a - 24, -4*i + 6 = -2*a - 8. Suppose 2 - i = -t. What is t*g(y) - 4*d(y)?\nAnswer: 2*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 149 + -6. Suppose -4*m + 52 = -17*d + 12*d, -2*d = 0. Calculate the highest common factor of m and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 28 = 5*p, -19*z = -21*z - 3*p + 21. Sort -9, z, 2, -2 in increasing order.\nAnswer: -9, -2, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -1. Suppose m + h*m - 8 = 0. Let d be 54\/m*28\/7. Calculate the highest common factor of d and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/104 + (-192)\/39*7.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5506333 - -1?\nAnswer: -5506332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5066 is divided by 230.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 449\/11 - 41. Let q = 0 - 0. Is q less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 73830 divided by 107\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.6 * 109.\nAnswer: -719.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - x + 2*x)*(9 - 9 + 6*x)*(779*x**2 - 417*x**2 - 440*x**2).\nAnswer: -1404*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 12*m + 32 = 2*t, -m = 3*t - 2 + 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 x when three letters picked without replacement from xauxabouxaxxxabxxxb?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.124 to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 4741379.\nAnswer: -2370689.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 1181*d + 1178*d - 17 = 0, -4*d - 21 = -5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16193905 + -9.2.\nAnswer: 16193895.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -249 + 251. Suppose -h*a + 3*m = -103, 3*a + 2*a + 4*m = 269. What is the greatest common factor of 901 and a?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 888 divide 428084687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 20. Suppose 3*k = -s + 26, -d*s + 15 = -3*s. What are the prime factors of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5093 is divided by 1684?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -2*a**2 + 18*a + 3. Let v be w(9). Let l(r) = 4*r**2 + 3*r - 2. Let g(b) = -7*b**2 - 5*b + 4. Calculate v*g(h) + 5*l(h).\nAnswer: -h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 45*n + 493. Give g(-18).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -35*l**4\/4 + l**3\/3 + 47*l**2\/2 - 22. Find the third derivative of c(y) wrt y.\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12 - 10. What is the derivative of 4 + 0*o**2 - 2 + r - 5*o**2 wrt o?\nAnswer: -10*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1718808 and 12592.\nAnswer: 3437616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -15994, 0.5, 5.\nAnswer: -15994, 2\/9, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 18*y - 180 for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (3 - -10)\/(2 - 1). Suppose m - x + 5 = 0. Let u = 3 + m. What is the remainder when u is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9727391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - x + 16, 2*l - l = -2*x + 7. Suppose 0 = -4*f - l*a + 47, 0*a = 4*a - 12. Solve 3*v + 2*o = 13, v - f = -2*v - o for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73\/((-78475)\/(-172))*-5*(-1)\/2.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0*a - 5*a + 71*a**3 - 83*a**3 + (-3*a + a + 0*a)*(-2*a**2 + 41*a - 41*a) in the form j*a**3 + i*a**2 + n*a + p and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -275*x + 1603. What is k(6)?\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43746.8 decades to millennia.\nAnswer: 437.468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 9:32 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*l + 64*l = 14 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 773 or 772?\nAnswer: 772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyw when three letters picked without replacement from qqqzywyjqwqwwzqyuq.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 21?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2.41533+-38.4\nAnswer: -35.98467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10647, -3, -336 in descending order.\nAnswer: -3, -336, -10647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/2, 27855, -5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/4*3*-8. Let d = c + 27. Which is bigger: d or 1\/2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 7\/6 (b) -7.2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14226 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5159 and 68992.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 2*j - 6 = -d, -4*j - 4 = -3*d. Let n = 2.01 + -0.01. Let v = 1 - n. Which is the closest to v? (a) 0.5 (b) -5\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n*n\/n**(-4))\/n)**(-1\/14)\/(n**(1\/3))**(3\/19))**10)**(-2\/31) assuming n is positive.\nAnswer: n**(1090\/4123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -10*c + 1. Let b(i) = -63*i - 2. Let s(z) = b(z) - 5*q(z). Let o(t) = t + 1. Calculate 6*o(a) + s(a).\nAnswer: -7*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/((-44)\/(-9)) - (-50)\/(-275). Suppose -3*q + 4*q + 3 = 0. Which is greater: q or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 170*x**2 + 38*x - 11. Let o(v) = -34*v**2 - 7*v + 2. What is 11*o(z) + 2*u(z)?\nAnswer: -34*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, t: 3, u: 2}. Give prob of picking 2 u and 2 t.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is (-65)\/(-99) - (-132)\/(-242)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 51*p - 72. Let n(f) = 14*f - 18. Give -22*n(y) + 6*s(y).\nAnswer: -2*y - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.8. Let c = r - 1.1. Let f = c - -0.302. What is f rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348085*t**3 + 201676*t**3 + 1255825*t**3.\nAnswer: 1805586*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 40 = 7*h. Suppose -q - h = -3*q. Let d(x) = 2*x - 5. Let l(f) = f - 3. Give q*l(a) - 3*d(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the third derivative of f**8\/1680 - f**7\/175 + f**6\/600 + 2*f**5\/25 + 2*f**4\/15 + 6*f**2 - 33. Factor k(u).\nAnswer: u*(u - 4)**2*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4353019 is divided by 33.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*d - 3*d + 74 = 0, -3*d + 6 = 0. What is the highest common divisor of 100 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 7:46 PM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1663089.\nAnswer: 3, 19, 163, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + 1395c?\nAnswer: 13957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 111, -4, 2, 5 in decreasing order.\nAnswer: 111, 5, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1938 and 1482?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, -141, -568, -1407, -2796?\nAnswer: -4873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + -484\/9. Which is smaller: 2.1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r = -661 - 67. Suppose -17*s + r = -29. Solve 4*g + 5*h + 24 = 0, -s*g - 4*h - 11 = -10*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-18\/13)*(f*f\/(f\/((f**45\/f)\/f)))\/f assuming f is positive.\nAnswer: f**(541\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w - 2*i + 310 = 0, 4 = 4*i. Suppose 0*q = -q + w. Let z be 119\/21 - 4\/(-3). Calculate the highest common divisor of q and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37719 divided by -10\nAnswer: 37719\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -5*i - i. Let w(p) be the third derivative of -8*p**2 + 0*p**4 - 1\/270*p**5 + 0*p + i + 0*p**3. Factor w(u).\nAnswer: -2*u**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -18 - -12. Let u(q) = q + 10596 + 10593 - 21197. Determine u(n).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + (-4)\/1*-4. Let y = p - 3. Solve 2*x = 2*o + x + y, 2*o = -3*x + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9120 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -11. Suppose -l = 3*l - o. Let d be ((-2 + 1)\/6)\/l. What is the nearest to -1 in d, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*g**4 - 521675*g**3 - 4733095*g**2 - 7542150*g = 0 for g.\nAnswer: -7, -33\/16, 0, 6530","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.194372 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69401469?\nAnswer: 3, 47, 61, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/2*(1 + 0). Let d = 4 - y. Let b = d + 6. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, 37, -2 in descending order.\nAnswer: 37, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -9*s. Let c be j(2). Let k be (294 + -293)*((-2)\/7 + (-486)\/14). Let m = c - k. Calculate the greatest common factor of 119 and m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -421, -824, -1233, -1648, -2069?\n\"Answer: -3*w**2 - 394*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*((sqrt(300)*1 + sqrt(300) - sqrt(300)) + sqrt(300)) + sqrt(300))\/(-1*sqrt(96)))**2.\nAnswer: 4225\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 918779.1 centimeters?\nAnswer: 9187791","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35696 is divided by 300.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 849612?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, p: 2, z: 1, w: 3, o: 3, i: 3}. Give prob of picking 1 o, 1 p, and 1 z.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121534 is divided by 2203?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34.177096 + -0.034096. Let d = j + -0.043. What is d rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20*z + 16 - 16)*(-176*z + 427*z - 168*z) + 0*z**2 - 4*z**2 + 5*z**2.\nAnswer: -1659*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -4*o + 6, -4*o - 21 = -3*j. Suppose -j*g = -3*h + 9, -h - 2*g - 3 = -9. Solve -h*r = -6*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence feia when four letters picked without replacement from ceafeil.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 276069, 276068, 276067?\n\"Answer: -k + 276070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/69*47)\/((-3)\/3).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 366 and 30.\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0962581498 to four decimal places.\nAnswer: -0.0963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -4*g**3 + 5*g**2 + 5*g - 3. Let w be d(-3). Calculate the highest common factor of w and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -161?\nAnswer: 4\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1898 + -1903. Which is the closest to 2\/5? (a) 7\/2 (b) 4 (c) 3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2 - 92*j + 92. Determine g(-29).\nAnswer: 1078","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*f - 2 = 13, -5*f + 25 = r. Suppose -8*b + 38 + 2 = r. Let a = -1 - -2. Solve -25 = -4*y + 3*g - 6*g, a = 4*y - b*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1722*t**3 + 3421*t**3 - 1704*t**3.\nAnswer: -5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 10 - 5 - 11. Let c(s) be the first derivative of 0*s**4 - 11\/5*s**5 + 18 + 0*s**z + 10*s + 0*s**2. Differentiate c(r) wrt r.\nAnswer: -44*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 4*h**2 - 4. Let g be i(-3). Let y be ((-21)\/(-14))\/(0 - 2\/108). Let a = y - -83. Solve -r - 29 = -g*s, a*s + 6*r - 4*r - 2 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3 - 17*y**2 - 13 - 3 wrt y?\nAnswer: -34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -412 + 17 = 106*g - 27*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210 - (-54 - (-136 - 49))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/3? (a) -2 (b) -144 (c) 5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*m = 50*m + 17*m - 2649474. List the prime factors of m.\nAnswer: 2, 61, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-6) + (-2)\/12. Let p(f) = f**2 + 2*f - 1. Let s be p(n). Let o(w) = -w**2 - w. Let r(a) = a**3 + 5*a**2 + 7*a. Give s*r(z) - 5*o(z).\nAnswer: -z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3990*t - 763712 = -7622*t + 455751 - 278891 for t.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.08 + 7.92. Let l = 1827 + -1818.87. Let n = l - i. Round n to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1876 and 27.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 50\/6 + 10\/(-30). Suppose -4*w - 3 = c, 2*c = 3*w + n - 3. Differentiate -9 + 16 - c - 35*m wrt m.\nAnswer: -35","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719201219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.475843 rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5593998035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -18230000 rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3491671903 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 c when four letters picked without replacement from ccycyyyycyycyccy?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(189)*6)\/sqrt(3) + 3.\nAnswer: -1 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(6336)*5*-5 - (sqrt(308)\/(sqrt(252) - sqrt(7)) + sqrt(44) + -5*sqrt(264)\/sqrt(6)).\nAnswer: 3038*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-21)*(-28215)\/(-1045)?\nAnswer: 45\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1375\/(-30))\/(-11)*6\/(-15)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2306 - 59947\/26. Let q = b - -21\/52. Sort q, -0.1, -8 in decreasing order.\nAnswer: q, -0.1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - (-4)\/(-2)*6781. Let y = r - 45437. Round y to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.922458 rounded to 1 dp?\nAnswer: 65.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-7128)\/1056*(-2464)\/(-126)\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v**2 - v + 3. Suppose 6*j - 49 = 3*j - 4*y, -4*y = -5*j + 39. What is the remainder when g(-3) is divided by j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**2 + 117*n**3 + 35*n**4 - 36*n**4 + 3*n**2 in the form h*n**3 + i*n**2 + g*n + w*n**4 + b and give h.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-10))\/((-36)\/(-30)). Let d = -2.8 - -3. Which is the third biggest value? (a) -0.5 (b) d (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -138, -280, -424, -570, -718, -868?\n\"Answer: -n**2 - 139*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 310 a factor of 4608853?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**6\/30 + d**4\/2 + 4*d**3\/3 + 5*d**2. Determine i, given that t(i) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*c + 8 = 3*n, -2*n = 4*c - 8. Let j(g) be the third derivative of n + 0*g - 5*g**2 - 1\/12*g**4 + 0*g**3. Let b(q) = 6*q**2. Give b(j(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from ccccccccccclccl.\nAnswer: 26\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/12*0)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1872 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04 and -0.14.\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1007.\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -35*m + 253. Let u be n(7). Solve -4*x - 2*l = 8, -2*x + u = -0*x - 5*l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (6*(3*sqrt(68))\/sqrt(4))**2 + ((-1 + sqrt(1088))*1 + -4)**2.\nAnswer: -80*sqrt(17) + 6626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 0.51?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 946914.2 kilograms to milligrams.\nAnswer: 946914200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 14 = h, -h - 4*h - 4*t = 46. Let b(l) = -l**2 - 8*l - 12. What is b(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2 + 4*t + 7. Let m be w(-3). Let q be (15\/2)\/3*4. What is the greatest common divisor of q and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p - 6. Let q be o(4). Let u = 2 - -2. Suppose -z - u*z = -20. Which is greater: z or q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 503?\nAnswer: 18\/503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4453 (base 12) in base 14?\nAnswer: -2a75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*v + 18 + 20 - 47 + 3*v + 0*v + 0*v + (2*v - 3 + 3)*(-1 - 2 + 4) to the form l*v + q and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.7 - 0.3. Let x be 2\/9 - (-4)\/63. Is v < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**7\/5 + 121*j**6\/15 - 7*j**5\/30 - 91*j**4\/3 - 92*j**3\/3 - 73*j**2 + 12*j. Determine s so that y(s) = 0.\nAnswer: -2\/3, -2\/7, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -19*h**3 + 6*h + 65. Let m(x) = -16*x**3 + 5*x + 65. Give -6*m(g) + 5*r(g).\nAnswer: g**3 - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2177 divided by -4\nAnswer: -2177\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 35.3287713.\nAnswer: -3.53287713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of -d**5\/15 - 25*d**4\/2 + 308*d**3\/3 - 1855*d**2. Factor m(q).\nAnswer: -4*(q - 2)*(q + 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7256\/(-4535))\/(16\/100)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 + f - 4. Let l(r) = 3*r**2 - r + 5. Let a(k) = 5*l(k) + 6*m(k). Let o be -2*(4\/(-2))\/(-4). What is a(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1922.455 - -1927. Let c = -0.055 - m. Round c to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30897648 by -18658.\nAnswer: 1656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 1 (b) 4 (c) -6\/11 (d) 9 (e) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44710842 to the nearest integer?\nAnswer: 6687","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26000 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (2505\/(-600) - -10) + ((-3)\/(-8))\/1\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*r**2 - 6050 + 6047 - 5*r + 8*r**3 - 9*r**3 in the form x*r + i*r**3 + k*r**2 + m and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.51788 hours to microseconds.\nAnswer: 70264368000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 147*h - 2606. Determine j(163).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 11*z**2 + 11*z - 10. Let v be y(10). Suppose v = -0*p - 4*p + 20. Find the third derivative of n**3 + 11*n**2 - 5*n**2 - p*n**2 wrt n.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31148.\nAnswer: 2, 13, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 + 4. Let g be 11\/110 - 92\/1240. Let p = g + 457\/310. What is the nearest to 1 in p, 2\/23, y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - h + 6. Let s be r(0). Let v(u) = -u - 2*u - u + s*u. Let j(w) = -w. Calculate v(j(q)).\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5183 and 219?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2704 + 266 = 142*q + 414 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10346? (a) -2 (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.09, 48, 2\/21, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*t - 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 13 + 16 = 0. Suppose 3*n + 26 = 4*i, 7*n = -2*i + 2*n. Solve 5*w = 4*o - h, -2*o + o = -3*w + i for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 777*n + 3. Let y(w) = -4*w**2 - 2. Give v(y(r)).\nAnswer: -3108*r**2 - 1551","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-130)\/(-30) + 2\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82632928 to the nearest integer?\nAnswer: 9090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -26407 + 6607. Round q to the nearest one thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k + 1. Let s(v) = -4*v - 2. Let i be -4 - 0*2\/(-2). Suppose -107 = 15*a - 2. Calculate a*m(d) + i*s(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 726, 2423, 5724, 11163?\nAnswer: 19274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -9522*u**5\/7 + 9779370*u**4\/7 - 19813076*u**3\/7 + 10328180*u**2\/7 - 287002*u\/7 + 2050\/7 = 0. What is u?\nAnswer: 1\/69, 1, 1025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 4*p - 30. Let l be g(8). What is the second derivative of 21 - 22 - 8 + 94*y**l - 3*y + 5*y wrt y?\nAnswer: 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 7 = -5*o. Solve -81*b**3 - 228*b**2 + 6*b**4 + 117*b + 9*b**o + 303*b**2 - 54 = 0.\nAnswer: -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129*f**2 - 516*f**2 + 1183*f**2 - 477*f**2.\nAnswer: 61*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i + 28. Let g be m(0). Let a = -25 + g. What is the greatest common factor of 21 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 37035606?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.5 (b) -1.4 (c) 858 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 24599.393 days?\nAnswer: 3514.199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q**3 - 3*q**2 + 2. Let v(i) = 7*i**3 - 7*i**2 + 5. What is -10*k(s) + 4*v(s)?\nAnswer: -2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + (6 - -1913) + 9?\nAnswer: 3, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -54, 0, 424 in increasing order.\nAnswer: -54, -3, 0, 424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010111001010011001011 - 11101000?\nAnswer: -11010111001010110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 123 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*i*z - 123587*i + 3048*z**2 + 2 wrt z.\nAnswer: 3*i + 6096*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaajjajaajaja. What is prob of picking 1 a and 1 j?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 + 2*l**2 + 4*l + 3. Calculate i(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + o = 10, 17 = n - 3*o + 3. Suppose -5*j + 109 = -a, -8 = -2*j + 2*a + 34. What is the highest common divisor of n and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8564077 is divided by 503.\nAnswer: 502","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 19*h + 135. Let m be w(-7). Factor 2*v**3 + 0 + 0*v + 8\/5*v**4 + 2\/5*v**5 + 4\/5*v**m.\nAnswer: 2*v**2*(v + 1)**2*(v + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -21*o. Let p(t) = 2*t**2 - 159145*t - 4. Calculate p(g(q)).\nAnswer: 882*q**2 + 3342045*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jo when two letters picked without replacement from ojeeojmelejl?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28714 and 23716?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**6*a)\/(a\/a**(-14)*a)*a**(1\/3)\/((a**(-1)*a*a*a)\/a) assuming a is positive.\nAnswer: a**(-29\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + f + 4 = 4*r, 3*r + 4 = -2*f. Suppose -2*d + 5*d - 12 = r. Let y be (-1)\/1*(-16)\/d. Solve 3*k - q - 3*q = 4, -y*k + 5*q + 4 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 minus 2.18?\nAnswer: -2.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214 - 34 = 5*v. Calculate the remainder when v is divided by -3 + 10 + (2 - 5) + 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -250 + 250 + 11*k in the form u + f*k and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 44, 160, 360, 650, 1036, 1524?\n\"Answer: y**3 + 36*y**2 + y + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 8*p**2 + 4*p + 8. Suppose -6*s - 49 = 5. Let w be z(s). Suppose -f = -3*t - 13 + w, -5*f = -2*t + 44. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 4*y + 40 = 0, -20*v + 63*v - 39*v = y - 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a + 50. Let c be y(25). Let z(v) = v - 4*v + 24 + v. Is 19 a factor of z(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 117 and 637?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rprrppprdpppprdrprr. What is prob of sequence rdpd?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -146*g. Let f(v) = -v. Determine -219*f(r) + k(r).\nAnswer: 73*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 871*b + 6021 = 167*b - 23092 - 3271 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 7 + 2)*(1 + 5 - 4)*(m - m + 2*m).\nAnswer: -24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 4*f + 18 = 4*x, -3*x + 16 = f. Suppose 3*z + 26 = a, -4*a + x*z = z - 120. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + 162303?\nAnswer: 162250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = 10*p - 431. What is the second derivative of p*h + 20*h**5 - 8 + 8 - h wrt h?\nAnswer: 400*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003442 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1207 is divided by (-1098)\/(-20) - 42\/(-420).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-45944.\nAnswer: 9188.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34 - 2) + 96 - 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g + x + 8, -4*x = -2*g + 26. Suppose 4*k = 5*h - k + 15, -g*h - 4 = -2*k. Solve 4*p = 2 + h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 20 = 0, -t + 5*t = -3*a + 11 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 + 5*u**2 + 5*u - 6. Give m(-5).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 1, n: 1, p: 3}. Give prob of sequence nq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00638 to four decimal places.\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 32703605 divided by -11?\nAnswer: -2973055","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*a + 2*a = 26, 5*n - 3*a - 104 = 0. What is the greatest common factor of 190 and n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**5\/60 - p**4\/6 + p**3\/3 + 5*p**2. Let v be z(3). Which is the closest to v? (a) 1\/4 (b) 3\/5 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18430150 is divided by 2335?\nAnswer: 2330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8411 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*d**2 - 5*d**3 - 289*d**2 - 289*d**2 + 873*d**2.\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -26. Let c = -9.63 + j. Let b = c - -0.2. Round b to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-2)\/(-6)))\/((-37)\/((-2886)\/(-18))).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 226261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*u + 4256 = 0, 0 = -u + 1 - 4. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 159.2 + -166.2. Let u = -1405288429 - -1405288436.000000195. Let h = u + z. What is h rounded to 7 decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -435*o + 432*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are 23 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -30*((-5)\/((-100)\/24) + -4). Let i = u - 49. Calculate the greatest common factor of i and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the second derivative of 2*l**7\/105 + 8*l**6\/75 - 3*l**5\/25 - 6*l**4\/5 - 2*l - 16. Find c, given that t(c) = 0.\nAnswer: -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/17, -0.24, -15?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a1 (base 13) to base 14.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**0)*p)**(6\/11))**(-6\/5)*((p\/(p\/(p**0\/p*p)))**(-25))**18 assuming p is positive.\nAnswer: p**(-36\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 92137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2 - 12*w - 197. Let n(d) = 13*d**2 - 21*d - 391. Give 7*l(m) - 4*n(m).\nAnswer: -3*m**2 + 185","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzfftfeef. Give prob of picking 1 z and 1 e.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 0*n + 4*n - 103, 0 = 3*z + n - 309. List the prime factors of z.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1863 and 459117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37 - 43 - (-1 + -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 - (20\/4 + 1 + -1). What is the common denominator of g\/(-6)*(0 + (-1192)\/(-16)) and -95\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 3*y - 65, 3*v + 0*y = 2*y + 36. Suppose -x = -0*x - v. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 (base 10) to base 7\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -321 + 335 = -14*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9*(-2)\/(-30)*((-66)\/(-11) - 1). Suppose -5*v + 4 + 1 = 0. Put 2, s, v, 5 in decreasing order.\nAnswer: 5, s, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.05676\nAnswer: 0.05676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 705 divided by -5\nAnswer: -141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-4)\/(-5))\/(7\/(-35)). Let c be 33200003 + -1*(-1 - j). Round c to the nearest 1000000.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 6, d: 4}. Give prob of sequence ddww.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34875214 is divided by 101677?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 10*s + 44. What is the remainder when 230 is divided by j(-8)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 63*l*x*y**2 + l*x - 3*l*y**2 - 49*x*y**2 + 15*x*y - x - 649*y wrt y?\nAnswer: 126*l*x - 6*l - 98*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2*r)*(4 + 2 - 4) + (3 + r - 3)*(3 - 2 - 3) - 9*r - 7*r + 13*r.\nAnswer: -r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*a + 22198 - 61688 = -462*a - 107*a for a.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -47 and -0.8916.\nAnswer: -47.8916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/13 (b) 1\/2 (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k - 1458 - 180 = 82*k for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21576.295 + -21627. Let a = 51 + d. Let k = 0.149 - a. Round k to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30240 divided by 1080\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10 - 10. Let f be (s - (-3 - 8)) + 3. Suppose f + 11 = 5*b. Is 6 less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2622.\nAnswer: 2, 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1812365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168170\/(-268)*(-24)\/130 - (-10)\/65.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -129 + 414. Let k be 1\/4 + r\/12. What is the hundreds digit of (38\/k - 1\/3)*100?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a day in minutes?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/7 + 16986*r**3\/7 - 1949400*r**2\/7.\nAnswer: r**2*(r - 114)*(r + 17100)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*u + 0*u + 5*u)*(-4*u + 4*u - u**3)*(-u + 0 + 0).\nAnswer: -10*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1628 is divided by 272.\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (11\/33)\/(2\/30). Suppose 5 = n*m - 5. Let p be (2 - 0)*(1 + 0). Solve -t + p = -m for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 63921.49um?\nAnswer: 0.00006392149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -647, -637, -621, -599, -571, -537, -497?\n\"Answer: 3*l**2 + l - 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -0.019 (b) 91 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q + 17. Let j be g(11). Solve s - 6 = 2*m, -3*m - 5 = -j*m + 5*s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2419*w**3 - 177*w**2 + 177*w + 177. Let n(m) = -55*m**3 - 4*m**2 + 4*m + 4. Determine 4*f(d) - 177*n(d).\nAnswer: 59*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.81937695 to three dps.\nAnswer: 5.819","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 228 = 2*h, -20*h + 3*c = -19*h - 96. What is the greatest common divisor of h and 228?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 - 20. Let d(b) = -b**2 - 5*b + 2. Let m be d(u). What is the tens digit of -2*m*(-9)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135 + 78 = 19*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 7, e: 7}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2*x**2)*(2 - 1 - 2) + (-15*x + 138 - 138)*(6*x + 2*x - 4*x).\nAnswer: -58*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 0*t**2 - t**4 - 4 - 2*t**2 + t**2 + 2*t**3 in the form z*t**2 + x + s*t + r*t**4 + y*t**3 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mwmw when four letters picked without replacement from mwmwmmwmmmmmmmm.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38\/2733 - -25523\/983880. What is the common denominator of p and -58\/945?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 divided by -5?\nAnswer: -107\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9650467 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009068 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-198)\/154 + 3)\/((-8)\/(-868)). Solve 182*v - 3*k = m*v + 9, k = v + 4 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8904382 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen quarters of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3*o + o**2 + 3 + 1 - 5 + 10*o. Let n be w(-7). What is the units digit of 11 + (-1 + -4 - n)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/10)\/(41 + 3645\/(-90)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -101*g + 611 + 803. Solve g = -7*f - 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 623311 is divided by 1040.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -55 divided by 103334\nAnswer: -5\/9394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 161424807054580?\nAnswer: 161424807054583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*j + 12*j - 2*j - 2*j + 821 - j as l*j + v and give v.\nAnswer: 821","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(22\/(-10) - -2). Suppose -4*f + a*f = 1. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -444045, -444046, -444047, -444048?\n\"Answer: -d - 444044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g. Suppose -3*k = 12, g = -t + k - 3*k - 3. Suppose -8 = v + t*h - 23, -3*h = -6. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**2 + 282*o + 3199. Determine z(293).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 117 - 114. Solve -3 - c = 3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.39367 and -307.\nAnswer: 427.85669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 2592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*y - 5 = 0, 0 = -0*w - w + 2*y + 1. Which is the closest to 0.3? (a) -2 (b) w (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 147 + -738\/5. Let m be 11 - (-6 + 10 + 3). Let d = -0.25 - 3.75. Sort d, -10, a, m in ascending order.\nAnswer: -10, d, a, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/19)\/q**(-13))\/((q**(-38)\/q)\/q**(2\/15)) assuming q is positive.\nAnswer: q**(14798\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2830 + 2826. What is the second smallest value in c, 4, 6\/25, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.1609446 litres?\nAnswer: 160.9446","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*6\/(-9)*1*6. Suppose 4*p + 2*a = 8*p + 1968, 3*p + 1471 = d*a. Is -493 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 92 = v. Let w = 14 + v. Let i = w - 43. Is 17 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.12 + -0.12. What is the closest to 0.1 in -4, -5, p?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-26)\/18 + 2)\/((-170)\/(-510)). Let c(k) be the first derivative of 13\/12*k**2 - 37 + 1\/6*k**3 - y*k. Factor c(n).\nAnswer: (n + 5)*(3*n - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 4*i - 6. Let j(m) = -5*m**2 + 5*m + 1. Let k(z) = 6*z**2 - 6*z + 1. Let n(d) = 3*j(d) + 2*k(d). Calculate -4*n(x) - 3*v(x).\nAnswer: 6*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 181, -2, -1?\nAnswer: 181","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 368 and 393392?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by -3*1 - (-8 + -111 - -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213*r**3 - 221*r**3 + 154*r**3 + 277*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.47 - 0.27. Let c = 3 - a. Let h = 5 - 4. What is the second smallest value in h, c, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000027716 rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -307c991 - -2?\nAnswer: -307c98c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**4 + 5 - 5 + (4*a + a - 3*a)*(-a**3 - a**3 - 3*a**3) + 2*a**4 + 3 - 3 to m*a**4 + j*a**3 + h*a + c*a**2 + t and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000175403219 to 5 decimal places.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3212035 to the nearest integer?\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2237829?\nAnswer: 3, 11, 17, 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 16 - (-1380)\/100)\/((-3)\/375).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**6)**(3\/38)\/(q**(1\/2)*q**3))**6 assuming q is positive.\nAnswer: q**(-444\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q*q**(2\/39))\/q)\/q*q**19)**(-3) assuming q is positive.\nAnswer: q**(-743\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1433\/17 - -3121\/34. Solve 12 + b*n**3 - 9*n**2 - 3\/2*n**4 - 6*n = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 279 - 274. Suppose -1 = -0*t - t. Solve c - t = m for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(1573) + 1) + -5*1*sqrt(1573))*1)**2.\nAnswer: 528*sqrt(13) + 100681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3*((-11)\/1 + 1). Let o(x) = x**3 - 5*x**2 - 14*x - 5. Let l be o(8). What is the greatest common factor of l and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161565 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 676502.3 millilitres to litres.\nAnswer: 676.5023","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b**4\/2 + 1256*b**3 + 1057077*b**2 + 302535604*b + 7514123981\/2 = 0. What is b?\nAnswer: -833, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 669709449.\nAnswer: 3, 74412161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 q when three letters picked without replacement from {q: 5, f: 13}?\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 12:56 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**2 - m**2 + 3*m**3)*(-6*m - m - m)*(-2 + 3 - 2).\nAnswer: 24*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3 + 3)\/(-1))\/(-1). Let a(l) be the second derivative of p + 1\/2*l**2 + l - 1\/2*l**3 + 1\/12*l**4. Determine a(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(2916) - sqrt(2916))*-5)\/((sqrt(3072)*-2)\/(sqrt(36)*2)).\nAnswer: -405*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 76 - 147 = -33. What is the remainder when 167 is divided by v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-14))\/(8\/(-32)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-522)\/(-348)*(-24)\/27*21?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5\/i)\/i*i\/(i*i**6*i)*((i\/i**(1\/5))\/i)\/i*i**(-6)\/i*i)\/(((i**(-1)\/i*i)\/i)**(-37)\/(i*i**(2\/7)*i*i\/((i\/i**(-1\/4))\/i))) assuming i is positive.\nAnswer: i**(-11503\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 + 10.3. Let y be 42\/(-8) - (-6)\/24. Which is the closest to 0? (a) 1 (b) y (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 13. Let k = 29 + g. Let w = 14.6 - k. Round w to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 22*z - 8. Let f = 6 + -2. Does 15 divide g(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**5 + g**4 - g**4 + (4 - 4 - 1)*(25*g**5 - 46*g**5 + 770*g**5) - 3*g**5 + 0*g**5 + 2*g**5.\nAnswer: -753*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 7772 (base 11) to base 13\nAnswer: 487c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5469\/2680 + -31\/268. Calculate the common denominator of 121\/48 and m.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 174331643*f**3*w**2 + f**3*w - 357119*f**2 + 2*f - 2*w**2 wrt f.\nAnswer: 1045989858*w**2 + 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-7)\/(-14))\/(3\/252). Let m(p) = 12*p**2 + 13*p**2 + 2*p - r*p**2 + 14*p**2 - 2. What is m(2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1256702 and 8386.\nAnswer: 1198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/9 + 2\/9)*46\/230\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4242*o**4 - 1187*o**2 - 2184181*o + 2184181*o wrt o.\nAnswer: 101808*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.3 - -0.2. Let i = 0.1 + 3.9. Let t(y) = -y**2 + 39*y - 198. Let k be t(6). Which is the nearest to 1? (a) z (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -6*k**2 + 231*k - 280. Give s(37).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 847*f**2 + 375 - 577*f**2 - 375 - 2582*f**2.\nAnswer: -2312*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/12 - 18\/(-8). Let s(k) = -2*k**3 - l + 3*k**3 - 2*k**3 + 3*k**2. Let u be s(3). Sort -3, u, 2.\nAnswer: -3, u, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**3 + 70*l**2 + 571*l - 19. Give z(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 + 5*i**2 + 2*i - 1. Suppose 4 = -4*c - 8. Is t(c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 = -5*w - 2*n, 5*w + 8*n - 10*n - 241 = 0. What is the remainder when 129 is divided by w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 36*c - 11. Is p(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/2424758 and 73\/48174.\nAnswer: 7274274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 6*r + 32. Let l be (-184)\/(-40) - r\/10. Let y(g) = g**3 - 5*g**2 + 3. Determine y(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4760 and 3640?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 64*q - 56*q + 192*q**2 - 11*q + (2*q**2 + 0*q + 0*q)*(-1 + 3 - 1) + 0*q**2 + 2*q**2 + 0*q**2 in the form u*q + i*q**2 + c and give i.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 4*a + 13, a + 5*b - 2 + 1 = 0. Let h = -0.02 - -0.22. What is the closest to 2\/7 in h, -0.3, a?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 7\/24222386 and -1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 + 6*j**2 + 5*j - 4. Let l be z(-5). Calculate the remainder when (-24)\/l*(2 + 5) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6025*g**2*n**3 + 1032*g*n**3 - 3*g*n wrt g?\nAnswer: 12050*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 5*f + 15 = 4*y, 4*f + 4 = 0. Suppose d + y*j = -8, -2*d - 4*j - j - 21 = 0. Suppose 0 = d*o - 6. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**3 - 6*f**3 + 3*f**3)*(-3*f + 2*f - f) + 3 - 44744*f**4 + 44738*f**4 - 15 + (-2*f**4 - 2*f**4 + 5*f**4)*(-5 - 1 + 4).\nAnswer: -12*f**4 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18220\/37 or -491?\nAnswer: -491","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*u + 26*u - 104*u to l*u + t and give l.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*t**5 + 68*t**4 - 155*t**3 + 158*t**2 - 68*t + 8 = 0. What is t?\nAnswer: 2\/11, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q - 2*q**2 + 3*q - 4*q + 4 + 3*q**2. Determine s(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27167, 108600, 244309, 434294, 678555?\nAnswer: 977092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 16*u**2 + 20*u. Let n(c) = -25*c**2 - 32*c. Let s(l) = -5*n(l) - 8*r(l). Let t(w) = -2*w + 2*w + 14*w**2. Give s(t(i)).\nAnswer: -588*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.3 + 1.3. Which is the biggest value? (a) -4 (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-1 + -3)**2 + 5.\nAnswer: 72*sqrt(5) + 734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*i**2 - 89*i**2 + 354*i**2 - 84*i**2 - 77*i**2.\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.038*423.\nAnswer: 16.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4.74? (a) 0.3 (b) 1 (c) 3 (d) 2 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13279 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + 5*(sqrt(17) + sqrt(425) + sqrt(17) + 5)**2).\nAnswer: -12879 - 1050*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -108449163*s**2 - 100010067 wrt s.\nAnswer: -216898326*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*f + 24*f + 14*f.\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, r: 10}. Give prob of sequence rzz.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 2*g - 4*g + 4*g + 7*g**2.\nAnswer: 7*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-14 - -10) - 664797. Round l to the nearest ten thousand.\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 310 and 11436830.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-1 + -8 + 9)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -242, -450, -642, -818?\nAnswer: -978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of p**3*u**3 + 9*p**3*u**2 - 2*p**2 + 19*p*u**3 - 2*u**2 wrt u.\nAnswer: 6*p**3 + 114*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -81063397569 and 19.\nAnswer: -81063397550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40359797 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.01966 + 2.01966. What is the third smallest value in b, -1\/4, -1\/33?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 > -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 6*m - 10. Let l = -121 + 116. Let x(t) = t**2 + 5*t - 9. Let n(r) = l*h(r) + 6*x(r). What is k in n(k) = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q + 3*q + 5*q**2 - 10*q**3 + 5*q + 11*q**3 + 0*q - 19. What is d(-4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - ((-66)\/77)\/((-2)\/14). Let z(a) be the second derivative of -35*a**3\/6 - 6*a**2 - 2*a. What is the units digit of z(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3421 (base 9) to base 13.\nAnswer: -11c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((36\/(-8))\/(-3))\/((-3)\/(-1538)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 + 0.3. Let m = 1266\/35 - 183\/5. Which is the biggest value? (a) m (b) 0.5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -147, 7\/2, 272, 5 in descending order.\nAnswer: 272, 5, 7\/2, -2, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 6:36 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -194*o**3 - 53*o**3 + 59*o**3 + (-11*o**2 - 13*o**2 + 22*o**2)*(-4*o + o + 2*o) + (4 - 4 + 2*o)*(-2*o**2 - 2*o**2 + 5*o**2).\nAnswer: -184*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -6*b**3 - b**2 - 5*b - 5. Let j be r(-1). Sort j, 0, 4, 2.\nAnswer: 0, 2, 4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -55, -62, -81, -118, -179?\nAnswer: -270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252, 357, 456, 549, 636?\nAnswer: 717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10649862?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*d**2 - 65*d**2 - 42*d**2.\nAnswer: -76*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of -75\/2*h**3 - 3\/20*h**5 - 375\/2*h**2 + 0 - 3*h - 15\/4*h**4. Suppose t(n) = 0. What is n?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**36*r*r**(-19))\/(r\/((r\/r**(9\/5))\/r))**(-1\/9))**(-6\/7) assuming r is positive.\nAnswer: r**(-1648\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18759*y**2 + 18750*y**2 + 781*y + 748*y - 1529*y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(33) - sqrt(33)*-1))\/(-2*sqrt(176) - sqrt(176)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*x - 37*x + 4011 = -760 - 14 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/5 + 3032*d**2\/5 - 3034*d\/5.\nAnswer: 2*d*(d - 1)*(d + 1517)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t**2. Let b(j) = 50*j. Let f(u) = 3*u. Let y(x) = b(x) - f(x). Determine a(y(s)).\nAnswer: -8836*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00009281 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 61 divided by 1\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/6 (b) -0.5 (c) -0.05 (d) 0.67 (e) 0 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, 15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 h when three letters picked without replacement from {s: 1, l: 3, h: 3, y: 3, p: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -3*p + 27. Suppose 4*m = 2*i - 28, -7*i + 2*i - 2*m = -34. Let h be s(i). Solve -5*f = -f - h*g + 5, -3*f = -4*g + 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2*(-369)\/(-27) - (1 - 7) and -1\/660.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -26*f + 21*f + 12*f + 4 + f**2. Let n be j(-7). Let g(x) = 61*x - n + 4 - 58*x. Let m(v) = 4*v. Determine g(m(o)).\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + o + o)*(4*o - 3*o + o) - 2*o**2 + o - o**2 + 4*o**2.\nAnswer: -o**2 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w. Let v(b) be the second derivative of 13*b**4\/12 + 3*b**3 - 33*b + 3. Calculate c(v(o)).\nAnswer: 26*o**2 + 36*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -28\/10457?\nAnswer: -28\/10457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = 12*k + 27 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + 6*p - 5. Let m be v(5). Let g(z) be the second derivative of -z**5\/20 + z**3\/6 + 3*z**2\/2 - z. List the prime factors of g(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 30\/(-171)*(-69)\/(-460)*-4. Solve -v*j**2 - 84\/19*j - 882\/19 = 0 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.31 and -13.4.\nAnswer: -13.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22*k + 184.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/5, 0, -2, 20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3942, -3934, -3926, -3918, -3910?\nAnswer: -3902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/4)\/(s*s\/s**(-1\/13)))\/(s*s\/(s**4\/s)*s*s*s*s**6\/s)*(s**(-1)*s**(-1\/9))\/((((s*s*s\/s**(-1\/3)*s)\/s)\/s)\/s)**(2\/25) assuming s is positive.\nAnswer: s**(-129223\/11700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -46263 + 2?\nAnswer: -46261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 + -3. Calculate the remainder when y is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the third derivative of -l**6\/60 + l**3 + 8*l**2. Differentiate o(g) wrt g.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3*z - 5*y - 2, -2*y = 0. Is z greater than 2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, -1, -2, 2 in decreasing order.\nAnswer: 2, -1, -2, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 8:46 PM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143582 - 1647293 = -83*i. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 4, -6, -3, -2 in decreasing order.\nAnswer: 4, -2, -3, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5353, 3, 4.\nAnswer: -5353, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 1 - 10, -d + 2*n = -6. Suppose -146000 = -2*t - d*t. Round t to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -839, -1195, -1085, -521, 485?\nAnswer: 1921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2*178\/8)\/(7\/(-14)) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(21\/4)*u*u**1*(u\/u**(-3\/2))**(-2\/45) assuming u is positive.\nAnswer: u**(257\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of 11*g**4\/12 + 7*g**3\/6 + 3*g. Find the second derivative of c(h) wrt h.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -161 + 200. Suppose -108 = -4*f - 4*d, -13 + 71 = 2*f + 4*d. Let g = r - f. List the prime factors of g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 428 and 2129942?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 + 56. Solve 4*d + 20 = -i*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 1 j when three letters picked without replacement from hhnhajthhthhdn.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**3 - 4*k**2 + k - 5. Let o be b(4). Let d = o - -4. Suppose -2*a + d*w + 166 = 0, -3*a - 4*w = -363 + 80. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164 + -148 - (-1 + 2 + 7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**3 - 6 - 7*s**2 + 5*s**2 + 4 - 10*s**2 in the form f + u*s**3 + k*s**2 + b*s and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + (-2 - -2) + (-8 - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + (-48)\/(-9) - 32\/24. Suppose 3*d = -c + 50, 52 = o*d + 8*c - 12*c. Calculate the lowest common multiple of d and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2*m**2. Let s be c(1). Let t = 8 - 5. Suppose -2*f + 3 + t = 0. Solve 0 = z - s*z + f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 178 - 178 = 167*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 3\/232, 5\/2, -4, -3.\nAnswer: -4, -3, 0, 3\/232, 5\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**2 + 1. Let z(g) = 2*g**2 - 2. Let j be (1 - 5)*20\/(-16). Suppose -2*p = -4*c + 6, 3*p - j*p + 2*c - 2 = 0. What is p*n(b) + z(b)?\nAnswer: b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 484*p**3 - 473*p**3 + 256629*p**2 - 256631*p**2.\nAnswer: 11*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*d - d**2 - 1780 + 4*d + 1780 as n*d + u + t*d**2 and give n.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xe when two letters picked without replacement from {b: 1, e: 2, z: 12, x: 1, t: 1, a: 3}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 118, 499, 1134, 2023, 3166?\n\"Answer: 127*x**2 - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = c + 27, -9*c + 4*c = -2*o + 216. Let z(d) = 2*d**3 + 85*d**2 + 41*d + 75. What is the remainder when z(c) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1266 - 1266 + i. Let a(d) be the first derivative of -5*d**4\/12 - 9*d - 2. Let c(s) be the first derivative of a(s). Calculate z(c(j)).\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1122100 (base 3) to base 13.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27573 is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 + 20*h + 54. Let n be r(-7). Let s be n\/(-74)*(1 + -2 + 15). Let g(w) = 6*w - 1. Let u(m) = 4*m - 1. What is s*u(i) - 5*g(i)?\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69432, -69433, -69434?\nAnswer: -69435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 (base 15) in base 7?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -300*r - 312. Let w(y) = -137*y - 156. Let g(x) = -6*o(x) + 13*w(x). Calculate g(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-5 - -10) - (4 + (8 - (-15 - 2)))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)*r)\/r**13 assuming r is positive.\nAnswer: r**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**2\/2 - 13763*d + 165228.\nAnswer: -(d - 12)*(d + 27538)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/12120 and 7\/20200.\nAnswer: 60600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*i + 1902 - 4531 = 0. List the prime factors of 1\/((-1)\/(-3)) - (i + -9).\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 549 - 530. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-45)\/((-447)\/54 - -8). Suppose l = 17*h + 77. Solve -2*x + 4 = 4*g, h*g + 4 = 3*x + 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*l**2*n + 195*l**2 - 4*l*n wrt n.\nAnswer: 12*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j**2 + 143*j - 5443. Calculate v(25).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16298380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2556979 + 2556979.4. Let z = -207\/8 - -26. Let p = 1 + -3. Which is the nearest to z? (a) 0.5 (b) r (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**2 + 11*s + 1. Let g(k) = -k**2 - 12*k - 3. Let i(z) = 3*b(z) + 2*g(z). Calculate i(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 750 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 779242, 3116988, 7013254, 12468052, 19481394, 28053292, 38183758, 49872804?\nAnswer: 63120442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(242)*1.\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4890251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 112607071 to the power of 1\/2, to the nearest integer?\nAnswer: 10612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -645 - 123 = -244*k - 140*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 795 and 141351?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1045 = -56*f + 51*f. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -30? (a) -5 (b) 0.024 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f = -7*f + y + 17, 4*f + 14 = -2*y for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - 302 = -232. Which is the closest to 46? (a) 0.1 (b) t (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*d - 3*d + 43, -65 = -5*f - 4*d. Suppose f*h = -0*h - 45. What is the nearest to 0.1 in -3, h, -1\/35?\nAnswer: -1\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4447*l + 295. Let q be u(-25). What is q rounded to the nearest ten thousand?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**3 - 10*v**2 - 6*v + 20. Let w be b(-7). Let d = -596 + w. Put d, -3, -15 in descending order.\nAnswer: d, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -233 less than -965407.71?\nAnswer: -965174.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1737.36 - -1759. Round f to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-5)\/a**(-1)*(a**5*a*a)\/(a\/(a\/((a*(a\/a**(-1\/5))\/a)\/a))))\/(a*a**4\/a*a**(2\/5)*a*a*a*((a\/(a\/(a**(-1\/2)*a)*a*a))\/a)**(-20)) assuming a is positive.\nAnswer: a**(-273\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1842824*j**4 + 12*j**3 + 33696984 with respect to j.\nAnswer: 7371296*j**3 + 36*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -806 - -912. Calculate the remainder when 1797 is divided by z.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 5*v**2 - 7*v - 21. Determine z(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1215 - 1010?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (1 + -3 + 3 + -1 + sqrt(242) + 1 + sqrt(242) + -5 + 5)*-3)**2.\nAnswer: 924*sqrt(2) + 8761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((50 + 7 + 9)*(1 - 1 - 2*k**2) - 3 - k**2 + 3)*(-2 + 3 - 2)*(-2*k - 1 + 1)*(0 - 2 + 1).\nAnswer: 266*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 157321763 to the power of 1\/2, to the nearest integer?\nAnswer: 12543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-4 - 1)\/(4 - -5) and (-553)\/14 + 1 + (-2)\/(-1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.485 - -10\nAnswer: 14.485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**5\/4 - 13*o**4\/4 - 25*o**3\/4 + 45*o**2\/4 + 11*o\/2 - 8 = 0. Calculate o.\nAnswer: -2, -1, 1, 16\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(7) - sqrt(441)\/sqrt(7))*6 + (2 + sqrt(17) + -1)**2 + 4 + 4.\nAnswer: -sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*l = -1404 - 3357 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from mrr?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -6. Suppose -2*w + a*w - 30 = -5*b, -b + 5 = 0. Solve -y = -4*r + 20, 0*r + w*y - 5 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.7, 20, -3.75005?\nAnswer: -2.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -28 (b) -2 (c) 5 (d) -79\/3 (e) 0.098 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**2 - 25*c - 30. Let y be n(26). Let o(d) = -d**3 - 4*d**2 - d - 3. What is o(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 102*x - 108*x - 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 - -10. Let d be 1 + 1 - w\/4. Suppose 3*l - 9 = -3*b, -d*l + l - 15 = -3*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/51)\/((-4)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7172 by -45.\nAnswer: -7172\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/4 - 1 - 51\/12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 219e7 + -c?\nAnswer: 219da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (5 - 0 - 4). Suppose 5 = 2*z + n, 0 = 8*z - 3*z - 2*n + g. Solve -2*k = 4*r + z + 9, 0 = r - 3*k + 13 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1329 divided by 57\nAnswer: -443\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3737, 14857, 33381, 59309?\n\"Answer: 3702*v**2 + 14*v + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -0.08 (b) 4 (c) 362\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1522 + 206*p + 1522)*(p**2 - 2*p**2 + 5*p**2).\nAnswer: 824*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7940589\/299 - ((-74)\/26 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90768 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -5, -0.2, 75?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*b + 5*d + 20, 5*d = 5*b + 45. Let z be 2\/(20\/(-6))*b. What is the greatest common divisor of z and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 234.\nAnswer: -5\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r. Let v = -403 - -399. Let w(q) = 3*q**2 + 4. Let c(p) = 0*p**2 + 6*p**2 - 2*p**2 + 5. Let d(s) = v*c(s) + 5*w(s). Give g(d(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13867778 to the power of 1\/3, to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 22503, 44991, 67467, 89925, 112359, 134763?\n\"Answer: -q**3 + 22495*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11842 and 186?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*h + 13*h + 7*h + 23*h.\nAnswer: 80*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7380 + 7111. Is -1\/3 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**2 + 7*f - 3*f - 4*f.\nAnswer: -8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*a**3 + 16*a - 13*a**2 + 14*a - 30*a.\nAnswer: -117*a**3 - 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbpsigp. Give prob of sequence pgib.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33*a*l**2 + 62*a*l + 8*a + 9*l**3 - l**2 - 1 wrt l?\nAnswer: 66*a + 54*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 138 - 75. Suppose -2*z - 3*p + d = 11, 2*z + p = 44. Calculate the smallest common multiple of z and 26.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1499, -1499, -1493, -1475, -1439, -1379, -1289?\nAnswer: -1163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11661 - -123926. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h - 4*h + 5*h - 5*h + 0*h + 2*h + (h + 4*h + h)*(2 - 2 - 3) + 17*h - 17*h + 13*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18453 + 706480. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of 17*n + 1\/2*n**2 - 27. Determine p(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 102.4 and -129?\nAnswer: -13209.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k + 185220 = -153960. Round k to the nearest one thousand.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5786939 (base 10) to base 7\nAnswer: 100121354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -7. Let n = 43 + -53. Let z = n - -6. Put z, 3, p in descending order.\nAnswer: p, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from taattpaatitfftf. What is prob of picking 1 p and 1 t?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and -2567.671.\nAnswer: -2573.671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 c when two letters picked without replacement from cfcfsssf.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 9) to base 13.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 4, -14, -42, -80?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*h = -432. Let l = 91 - 91. Suppose l = 2*o - 114 + h. Solve m = o*v - 3*m + 10, -7 = 3*v - m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -13868\/11 and -1260 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n**2 + 24824*n - 38514436 = 0 for n.\nAnswer: 3103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2142 = -129*l + 135*l. Let p = 34 - l. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 873 + -797. Calculate the remainder when y is divided by 69.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50 = -48*a + 94 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -248*i = 232*i - 504*i. Factor 10\/11*d + 2\/11*d**2 + i.\nAnswer: 2*d*(d + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -217566 >= -217566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3250 - -403552?\nAnswer: 411242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.066921 to 3 decimal places.\nAnswer: -1.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6503743 - -6503742.90799926. Let l = -51 + 50.908. Let j = l - f. What is j rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18350?\nAnswer: 2, 5, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 161*t**2 - 610*t**2 + 103*t**2 - 804*t**2 - 219*t**2 as q*t + f + o*t**2 and give o.\nAnswer: -1369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -476 + 76?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -2*k**3 + 2*k**2 - 2*k + 5. Let m be i(0). Suppose l + m*x + 4 + 7 = 0, -l + 3*x + 13 = 0. Let q(a) = a**3 - 3*a**2 - 3*a - 1. What is q(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -4\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34417232 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.938365 rounded to 3 dps?\nAnswer: 2.938","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -75, -26, 111, 366, 769, 1350?\nAnswer: 2139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/76)\/(2\/8)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 + 24*h. Let a be f(-24). Suppose p = -4*n + 5*p + 136, 5*p - 15 = a. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300\/8 - (-1)\/2 is divided by 5 + (-1 + 4 - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 AM and 2:54 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2583*y**4 + 6*y**2 - 8*y + 92.\nAnswer: -61992*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 855?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -7*c + 148. Let g = 1 + -2. Let j(b) = 2*b - 1. Let l be j(1). Put g, c, l in ascending order.\nAnswer: c, g, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 61787, 61786, 61785, 61784?\nAnswer: 61783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -560574*j + 6166318. Give n(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w**3 + 55*w**2 - 5*w - 150 = 0. Calculate w.\nAnswer: -5, -2, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 16, j: 1, u: 1}. What is prob of picking 1 t and 1 u?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 13 + 8*g**3 - 4*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - d + 10 = -s, -21 = s - 4*d for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/3)*i)**(-3)\/(i\/(i\/(i\/(i**(2\/37)\/i)))*i\/((i\/(i\/i**(-2\/17)))\/i)) assuming i is positive.\nAnswer: i**(-5072\/629)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 + 131. Let p be 13 - 0 - (-4)\/(-2). Is b equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 340\/(-425)*5\/(-18). What is the third smallest value in 0.1, 11.9, o, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 695528527*l**3 - l**2 + 87562702*l?\nAnswer: 4173171162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77864 divided by -16?\nAnswer: -9733\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kjkc when four letters picked without replacement from {c: 8, k: 3, j: 5}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 821163\nAnswer: -821157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26642 is divided by 1567?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 27\/22, -11\/4, -5, -1, 2\/3?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 0 - 4)*(4 + 4 - 6) - 3 + 5 - 4 - 2 + 0 + 4 + 2 - 72 + 5)*(-2*t + 5*t + 8*t).\nAnswer: -759*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -52*b. Let x(f) be the third derivative of -f**5\/12 - f**2 - 27. What is x(c(q))?\nAnswer: -13520*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 396*g + 108 = 384*g for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/17, 1\/11, 58, 2\/17, 3\/2, -0.4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-4*sqrt(405)*1.\nAnswer: -108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 11*d**2 - 6*d**2 - 3*d**2 + 2. Let o(l) be the third derivative of l**6\/120 - 3*l**5\/20 - 3*l**3\/2 - 4*l**2. Give -2*o(c) - 9*p(c).\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 7) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 605 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133526 - 3*q**3 + 2*q**3 + 133933 + 9*q to the form g*q**3 + z*q + j*q**2 + i and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxxoxoooxxxxoxoxxx. Give prob of picking 2 o.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**6\/120 - 7*n**5\/60 + 5*n**4\/24 + n**3 + 3*n**2. Let d be x(6). Let c be (6\/(-4) + 2)*d. Sort c, 1, -4 in ascending order.\nAnswer: -4, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - -11. Let i = 14 - w. Which is the smallest value? (a) i (b) -2\/3 (c) 16\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70\/(-12)*1160\/(-2030)\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**3 - 134*w**2 + 87*w + 19. Let o be j(44). Let h(q) = 19*q + 468. What is h(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/3052 and 125\/143304?\nAnswer: 15620136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -46 - 74. Let z = 302 + -209. What is the remainder when z is divided by n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9000 and 630?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 197953, 195258, 192563?\n\"Answer: -2695*g + 200648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75351527 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2, -8 - 2 = 2*t + 2*w. Let n = 27 + t. Let s be -2*5\/(n\/(-6)). Solve -2*k + 4*k - 21 = -5*y, -s*k + 4*y - 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 117, 3, 59616, 5 in increasing order.\nAnswer: -4, 3, 5, 117, 59616","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15480*g**2 - 44857*g**2 - 17802*g**2 - 74305*g**2.\nAnswer: -121484*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27478 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 - 10*r**2 + 30*r + 3. Let s be l(6). Suppose -77*f = -94*f + s. What is the remainder when 655 is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 16 = -o, 20*o + 12 = 18*o + 5*i for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 1 + 2*y - 3*y - 5*y + y**2 + 5*y. Let z be m(-5). Suppose u + z = 2*u - 3*o, -o = 3. What is the remainder when u is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 21 = -5*m, m - 5*m + 2 = -5*y. Let v = y + -1. Let w(o) = 5*o - 1. Let d be w(1). Calculate the highest common factor of v and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.44 and -719827118431.\nAnswer: -719827118430.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 3866.\nAnswer: 386.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x. Let h(t) be the third derivative of 29*t**4\/24 - t**2 - 3*t. What is h(j(q))?\nAnswer: 58*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*r - 110 + 26. Calculate the remainder when (r + 5)*-9 - 0 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 336 and 287448.\nAnswer: 574896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1007, -971, -935, -899?\n\"Answer: 36*r - 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 316233678?\nAnswer: 2, 3, 52705613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*x + 209 = 0, -5*p - 281 - 58 = -2*x. Let z = -58 - -16. Let c = z - p. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8028447 - -4658447. What is r rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11303444420 (base 5) in base 10?\nAnswer: -12953110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 - 1. Let o(q) = -13*q + 4. Let s be o(3). Let h = s - -104\/3. What is the nearest to 0.2 in h, -0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -7.\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + -58. Suppose 2*m - w = -3*m - 20, 0 = -4*m - u*w - 35. Sort m, 4, 1 in descending order.\nAnswer: 4, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 4*l = 0. Suppose l = -0*j - j. Let p be j*(-3 + 10\/4). Solve -5*r = -5*n - 0*r, 2*r + 10 = p for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -325.065 + -0.6?\nAnswer: -325.665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -16*a**2 - 2*a + 2. Let r be t(-2). Let z = r + 97. Suppose -4*b = l - z, 5*l + 80 = 3*b + 2*b. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311 a factor of 57483374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*t + 86 - 86 as c + p*t and give p.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f + 4. Let r be w(0). Let s be (6 - r)*(-22)\/(-4). Which is bigger: s or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 2 - 2 + (3*v + v - 3*v)*(-3*v - 2*v + 0*v))*(-30*v + 1 + 87*v - 15*v).\nAnswer: -294*v**3 - 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37003 divided by -4.\nAnswer: -37003\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 16*z**3 + 5 + 8*z**3.\nAnswer: -8*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -683272174 divided by -13.\nAnswer: 52559398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y**2 - 3*y - 5. Let c be a(-2). What is c rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89654 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -19. Suppose 11 + 9*k**2 + 14 - u*k**2 + 30*k = 0. What is k?\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of -c**6\/120 + 7*c**5\/60 - 5*c**4\/24 - c**3\/6 + 3099*c**2 - 2*c. Give p(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4858843\/138 or 35210?\nAnswer: 35210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26087.\nAnswer: 19, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70\/13 - 197\/39. What is the biggest value in d, -0.151, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20202.9982778 - -20203. Round x to 5 dps.\nAnswer: 0.00172","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**3\/12 + 19*g**2\/2 + 4115*g\/12 + 7567\/2 = 0 for g.\nAnswer: -47, -46, -21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-710)\/15)\/((-7)\/21) is divided by 51.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(((x\/(x**(4\/3)*x))\/x)\/x)*x**(-3)*(x**(-1)*x)**(1\/14) assuming x is positive.\nAnswer: x**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-32)\/(-144) + 176\/18. Let z(p) = -p**3 + 10*p**2 + 6*p - 15. Let x be z(s). Suppose -x = 57*c - 54*c. Sort 4, c, -5 in increasing order.\nAnswer: c, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 40 + -18 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 r, and 1 t when three letters picked without replacement from rrta.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5894 + 5901. Solve -5*l + 3*f - 19 = 0, 5*l - 4*l = -f - a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 16 = 4*m + 2, -2*m - 3*n - 2 = 0. Let o be 5\/(20\/12) + -1. Find the third derivative of 0*a**o + 2*a**3 - a**m + 0*a**3 - 6*a**3 wrt a.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**3 + 48098*x - 48098*x.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -5*l**6\/4 + 35*l**4\/8 - l**2 + 27. What is the second derivative of b(t) wrt t?\nAnswer: -900*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17958 and 17220.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42.23589 hours to days.\nAnswer: 1.75982875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/27)\/((-58)\/(-783)). What is the nearest to j in -3\/2, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63036 and 27810.\nAnswer: 945540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/(-3) - 2\/(-3). Let v = w + 4. Is (3\/v + -1)*-12 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 5*f + 4. Let w be (4\/(-3))\/(2\/6). Let p be w\/((-48)\/(-9))*4. Determine a(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 1737115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 64104600 to the power of 1\/4, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(((sqrt(63)*-6 + (sqrt(14)\/sqrt(2) - sqrt(7)) + 1)*-5)**2 + -4)*3.\nAnswer: -2700*sqrt(7) + 170163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1380*x**3 + 2*x**2 - 58891*x + 58891*x + 424*x**3 to j*x**3 + r*x + f*x**2 + p and give j.\nAnswer: 1804","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 600, 595, 590, 585, 580, 575?\n\"Answer: -5*o + 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10898 is divided by 3627?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from qdddddqdddddd.\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f + 1. Let y be v(1). Suppose 4*m - 8 = -5*z, z - 4*m + 2 = -y*m. Suppose -i + z*i + 5 = 0. Is 4 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5 + 27. Let r be (4\/(-6))\/(k\/(-492)). Suppose r = 5*f + 11. Is 6 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16353\/10 + -1634. Suppose w = 6*w - 3*y + 84, -62 = 3*w + 4*y. What is the common denominator of u and w\/(-4)*2\/(-12)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 13 = 2*b, 1 = -w + 4. Let z(i) be the first derivative of i**2 - 1\/2*i**3 - 1\/4*i**4 + 1\/10*i**b + 2*i - 1. Suppose z(n) = 0. Calculate n.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -20*q + 3. Let m(d) = 37*d - 7. Calculate 11*c(o) + 6*m(o).\nAnswer: 2*o - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-1\/3))\/g**(-21) assuming g is positive.\nAnswer: g**(67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of v**3\/6 - v**2\/2 + v. Let s be j(3). Suppose s*l - 5*k = 55, 0 = -4*k - 4 + 8. Is 15 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 2. Let n be (r\/(-8))\/(7\/56). Let i(b) = b**2 + 8*b + 13. Let w be i(n). Solve -4 = -c + w for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 - 6*i**2 - 6*i + 8. Let m(k) = -3*k**3 - 13*k**2 - 13*k + 17. Calculate -13*a(r) + 6*m(r).\nAnswer: -5*r**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4770, -4755, -4738, -4719, -4698?\nAnswer: -4675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-2)\/(-2) - 7. Let k(m) be the first derivative of -6*m**2 - 18*m + 134. What is the remainder when k(t) is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 18 = 3*t - 2*t, -3*c = -t - 10. Suppose 0 = t*y - y - 6. Suppose 4*b = y*b - 4. Calculate the smallest common multiple of 28 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 2 - 2)*(3*j**2 - 6*j**2 + j**2) - 4*j**3 + 0*j**3 + 0*j**3 + (-5*j**3 + 11*j**3 + 40*j**3)*(2 + 1 - 4) as x + n*j**3 + v*j + y*j**2 and give n.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5304950711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1586, 3661, 5734, 7805, 9874, 11941, 14006?\n\"Answer: -w**2 + 2078*w - 491","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38737653217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 106695*u**3 + 10 - 5 - 2*u - 5.\nAnswer: 106695*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72799 is divided by 260?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 329 and 74119.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9905.172 months to years.\nAnswer: 825.431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*(9 + -4) - (9 + -6). Sort -1, 1, o, -5 in decreasing order.\nAnswer: 1, -1, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2 - f. Let m(c) = 5*c**2 - 4*c + 2. Let k = 3295 + -3296. Give k*m(g) + 6*u(g).\nAnswer: g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41 - -44. What is the remainder when 29 is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g. Let d(r) = -7*r + 4. Let o(p) = 13*p - 7. Let v(x) = 7*d(x) + 4*o(x). Let f(u) = 4*u. Let w(s) = -5*f(s) + 8*v(s). What is w(a(y))?\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/18)\/((-2)\/(-18)). Is 11 a factor of 68\/51 - y\/((-12)\/1354)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26229, 52459, 78689, 104919, 131149?\nAnswer: 157379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 15545 to the nearest 100.\nAnswer: 15500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*r**2 + r**2 - 7*r**2 + 21*r**2.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 24.83+0.04\nAnswer: 24.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.05 + -0.24. Let n = m + 0.49. Let r be (-17)\/9 + 4\/18. Which is the second biggest value? (a) r (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/30*((-80)\/3)\/8. Which is the nearest to m? (a) 0 (b) 1 (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -218*r - 6109. What is w(-22)?\nAnswer: -1313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 475*y**5 - 18*y - 14 wrt y?\nAnswer: 9500*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -b79776?\nAnswer: -b7977a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 divided by -2.\nAnswer: 21\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17095 + 31308. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - 0. Let r = -21.688 - 0.212. Let w = -18.9 - r. Put 2, o, 3\/7, w in increasing order.\nAnswer: o, 3\/7, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-8)\/6))\/((-11)\/11).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 4*j**2 - 5*j + 4. Suppose -16*f = -34*f - 216. Let a be (((-80)\/(-30))\/(-8))\/((-1)\/f). Determine d(a).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 AM and 3:29 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 7*m**2 + 41*m - 6. Give z(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 x, and 1 d when three letters picked without replacement from qjapdax.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the second derivative of -44*j**2 - 22*j - j**3 + 42*j**2 - j**3. What is the first derivative of l(h) wrt h?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 3 m when four letters picked without replacement from {m: 11, k: 9}.\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 12. Which is bigger: x or -17?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 78*a - 77*a - 34. Suppose -6*s = -a + 40. Let k = 59 - s. Calculate the highest common divisor of 15 and k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -118 + 218. Suppose 14*n - c = 9*n. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 0.1, 18, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + -5)\/(1*(0 - 2)). Factor 4\/7*n**2 - 2\/7*n + 0*n**3 + v + 2\/7*n**5 - 4\/7*n**4.\nAnswer: 2*n*(n - 1)**3*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*g = -2, -g = -5*g - 12. Let j(d) be the first derivative of -1\/2*d**a + 3 + d + 1\/12*d**3. Factor j(w).\nAnswer: (w - 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 94 + -91. Suppose -505 = -f*i + 47. Suppose -r + 2*h + 153 = 0, -5*r - i + 979 = 5*h. What is the remainder when r is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33457 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c - 14. Suppose 3*t - 2*t = -c. Which is smaller: t or -6?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002273775 to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 876061374 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23 + 36. Let u be 54\/d - (-6)\/(-39). Suppose 0 = u*p - 257 + 69. What is the remainder when p is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 9*c + 583. Let k be l(-63). Solve 2*z - k = 3*a, 3*a - 6*a + z - 11 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1021002 (base 3) to base 6\nAnswer: 4132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 413, 642, 869?\nAnswer: 1094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16127, -32268, -48411, -64556, -80703, -96852?\n\"Answer: -v**2 - 16138*v + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 21 = -4*t + t, -4*t = 20. Differentiate -3 + 8 - 19*g**d + 24*g**2 with respect to g.\nAnswer: 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -337*q**2 + 628*q**2 - 420*q**2.\nAnswer: -129*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34223.4 nanometers?\nAnswer: 34.2234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13852740 (base 9) to base 15.\nAnswer: -90ed00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5378 + 67239. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.87 - 1.87. Which is the nearest to 2? (a) 2\/11 (b) u (c) -9\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 12*r**3 - 2*r**2 + 2*r - 2. Let f(x) = x**3 - x**2 + x - 1. Let v(t) = -4*t**3 + 22*t**2 + 32*t - 119. Let c be v(6). What is c*a(g) - 2*f(g)?\nAnswer: 10*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.308 and -0.2.\nAnswer: 0.2616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, j: 4, y: 5, n: 1}. What is prob of picking 1 j and 1 e?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/7 (b) 0.5 (c) -3837\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -738?\nAnswer: -738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11231 - 10?\nAnswer: -11241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/14 and 37\/138694624?\nAnswer: 970862368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 8:31 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1336.89 - -1337. Let k = 5\/51 - -4\/17. Which is the closest to -0.1? (a) w (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 91446*z**2 + 5*z - 91701*z**2 - 6*z to u + m*z + a*z**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5075665 to the power of 1\/2, to the nearest integer?\nAnswer: 2253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -588 + 586. Sort 1\/2, 2\/3, -58, t in increasing order.\nAnswer: -58, t, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 593 and 4.\nAnswer: 597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160912.\nAnswer: 2, 89, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 81327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 7:51 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 80*a**3 - 8*a**2 + 10*a - 5. Let p = 121 - 117. Is k(p) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -90 + 39. Let i = -50.9 - m. Which is the nearest to -1\/3? (a) -1\/2 (b) -6\/11 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 5:02 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6784 - 6761)*(-3)\/(6\/4).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53785568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -90353 at least -90351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 827 - 151 = 2*u. Let t = u - -149. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.114*7.\nAnswer: -0.798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.28 - -2.2398. Let m = x - -0.0402. Which is the nearest to -1? (a) 58 (b) m (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**5\/2 - 73*h**4\/2 - 1245*h**3\/2 + 2713*h**2\/2 - 697*h = 0.\nAnswer: -41, -34, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 83*c + 16. Let v be a(-5). Let h = 601 + v. What are the prime factors of h?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 722 is divided by 121.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-3))**(1\/13)\/((q\/(q*q*(q**(-15)\/q)\/q))\/(q**(-1\/2)*q)) assuming q is positive.\nAnswer: q**(-407\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is c in c**4\/7 - 205*c**3\/7 + 2312*c**2\/7 + 820*c\/7 - 9264\/7 = 0?\nAnswer: -2, 2, 12, 193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.82462 centuries to months.\nAnswer: 60989.544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 23697784 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-12\/5)\/v**(-1\/7) assuming v is positive.\nAnswer: v**(-79\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3*n - 9. Calculate c(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**4 + 2*x**4 - x**4 + (1 - 3 + 1)*(32*x + 25*x**2 - 32*x)*(3 - 16*x**2 + 5 - 7) to h*x**4 + l*x + v + u*x**2 + j*x**3 and give u.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3474900 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**10)\/(l*l*l**(-10)\/l*l))\/((l**(2\/7)*l)\/(l*l\/((l*(l\/l**(4\/9))\/l)\/l))) assuming l is positive.\nAnswer: l**(1270\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1de (base 16) to base 11\nAnswer: 3a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 66?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117 - -22. Let t = f - -95. Which is the closest to 1\/3? (a) -19 (b) t (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -56*l**2 + 9*l + 3. Let o(i) = 110*i**2 - 16*i - 6. Let j(r) = 7*n(r) + 4*o(r). Let p(t) = 95*t**2 - 2*t - 7. What is 7*j(m) - 3*p(m)?\nAnswer: 51*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 80\/15*(-45)\/(-20). Suppose -4*j + 0 = -8. What is the second biggest value in -5, 5, j, u?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -48, -81, -112, -141, -168, -193, -216?\nAnswer: -237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -3849.682, -1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuwwnunuuhwnw. What is prob of sequence uh?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**4\/42 + i**3\/7 + 4*i**2\/7 - 28*i. Find t, given that o(t) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 b when two letters picked without replacement from beyyyyyyppbbyyeypyy?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 170996 + -3078727\/18. Let y = 581\/9 + r. Let t = 6340\/11 - 12783\/22. Calculate the common denominator of y and t.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173827 = 5*i - 33*s + 49*s, 2*i - 69535 = -5*s. What is the ten thousands digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 3, -3, -0.51, -4, -1, -80 in decreasing order.\nAnswer: 36, 3, -0.51, -1, -3, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = 4*x - 13, -l - 2*x + x + 5 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111100 - -1011?\nAnswer: 110000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the second derivative of -20*k + 0*k**3 + 3\/2*k**2 + 1\/4*k**4 + 0. Let l(b) = -6*b**2 + 0*b**2 - 2*b**2 + 9*b**2. What is s(l(j))?\nAnswer: 3*j**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8708*o*q**3*r + 4*o*q**3 - o*q**2*r + 210*o*q*r**2 - 5*o*r**2 - 2*o*r + q**3*r**2 - r**2 wrt r?\nAnswer: 420*o*q - 10*o + 2*q**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3250 + 1506 + 532*y**4 + 1432 wrt y?\nAnswer: 2128*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -2. Let q = 14.4 - 14.8. Which is the biggest value? (a) 4 (b) q (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (3 + -8 + 1)) + 2. Let o be 3 + (4\/s)\/(-1). Solve 0 = 4*f - 2*v - o - 6, 9 = 5*f - 2*v for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 36*m**2 - 182*m - 16. Calculate a(29).\nAnswer: 593","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108937 is divided by 201.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 738059 is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*g + 11, -19*q = -4*g - 23*q - 24 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1180 (base 14) in base 7?\nAnswer: -11620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 12*w = 52, 46211*d + 4*w = 46216*d - 46 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 125 - 61. Let f = a + -30. What is the remainder when f is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*i - 243 + 33. Let o(g) = g**2 - 15*g + 10. Let d be o(i). Let c(y) = y + 2. Calculate c(d).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*c + 9. Let d(w) = -2*w - 6. Let v be d(-5). Let f(t) = -4*t + 4. Let j(s) = 5*s - 5. Let a(m) = v*f(m) + 3*j(m). Calculate a(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 PM and 9:29 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-1)\/(9\/(-3))). Suppose -4*g = -2*i + 32, 0 = -p*i + g + 54 + 9. Calculate the remainder when i is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -1)*(0\/1)\/((-34)\/(-17)). Let x(b) be the first derivative of 9\/5*b**5 + 0*b**2 + 30 + 1\/2*b**6 + b**3 + 9\/4*b**4 + y*b. Factor x(a).\nAnswer: 3*a**2*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2245267 and 0.2.\nAnswer: 449053.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-28)\/6 - (-4)\/6) + 2463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63780 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 + 1. Let u(n) = n**2 - n + 127. Is u(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 327333 and -98.\nAnswer: -32078634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-8) - 140\/(-240).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -5*v**3\/3 + 5*v - 1. Factor y(m).\nAnswer: -5*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 85. Let l = -131 - g. Find the common denominator of 2 + 283\/l - (-4)\/(-6) and 127\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 1.1. Let l = -828 - -824. What is the nearest to c in 2\/7, -1\/2, l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -45. Suppose 0 = 4*n - 22 - 6. Let p(i) = -i**2 + 8*i - 6. Let h be p(n). Which is the third smallest value? (a) h (b) m (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102.304 + -102. Let q = h + -0.804. Let i = 14 + -10. What is the second smallest value in q, i, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 - -0.29. Let i = r + -0.19. Which is the third smallest value? (a) -5 (b) 8 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 8:11 PM?\nAnswer: 7:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*o**4 + 18 - 41*o**3 - 5*o**2 + 2*o**4 - 20 - 2*o + 6*o**4 to i + x*o**3 + y*o**4 + t*o + r*o**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - j - 1)*(-133 + 31 - 73 - 90) as h + g*j and give g.\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10999 + 28191. Suppose 0 = -8*k + 42816 - l. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the second derivative of y**3\/6 + 20*y**2 + 2*y. Let w(r) = -2*r - 10. Let a be w(-5). Is 18 a factor of d(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 289679, 579357, 869035?\n\"Answer: 289678*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 7*k. Let c(m) = 15*m + 1. Let l(b) = -4*c(b) + 9*z(b). Let t be l(4). Let u be 2*10*22\/t. What is the highest common factor of u and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = t, -15 = -3*a + 4*t. Let m be ((-4)\/12)\/((-2)\/24). Suppose 5*u - 18 = -4*o, m*o = -a*u + o + 16. Solve -r = -2, -5*q + u*q - r = 7 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 350386?\nAnswer: 2, 41, 4273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 8*d**2 + 14*d + 1. Let q be s(6). Differentiate q*k + 71 - 27*k - 26 - 12*k with respect to k.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46600 and 61512.\nAnswer: 1537800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 5274268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 36\/(-84) + 160\/14. Let v(a) = a**3 - 2*a**2 - 4*a - 5. Let p = -3 - -7. Let l be v(p). What is the highest common factor of l and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 210?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.8 - 3.8. Sort t, 0, -0.14 in ascending order.\nAnswer: t, -0.14, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -185 + 45. Let o = 419\/3 + k. What is the nearest to -2\/7 in 3\/2, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bzggzhhmbzzmmzh. Give prob of sequence mbzz.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -21.8265 (b) 1\/4 (c) -2 (d) 3 (e) -4 (f) -3 (g) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, l: 1, d: 1, f: 2, x: 1, z: 1}. Give prob of picking 1 x, 1 l, and 1 d.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 23*m + 39. Let i be u(24). Suppose 5*g + 3*f = 8*f - i, 0 = 5*g + 3*f - 17. Is (-1958)\/(-3) + (-8)\/12 + g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 163 - 162.24. Let v = 0.18 - -0.06. Let d = v + t. Sort -17, 3, d in descending order.\nAnswer: 3, d, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + d, 0 = 6*l - 10*l - 4*d for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213146 is divided by 213142.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.6299485 rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 f when four letters picked without replacement from kkffkfkkkkfkkfkk.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - 8a3?\nAnswer: -8a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11504162 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 + 4*g**3 - 3*g**3)*(0 - 2*g + 0) + (3*g + 2*g - 4*g)*(2*g**3 - g**3 + 0*g**3) + (3*g**4 - 2*g**4 + g**4)*(-1 - 2 + 2).\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125288811?\nAnswer: 3, 13920979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 8 = -r, g = -0*r + 5*r + 4. Let k be 0 - -2 - (-4)\/2. Suppose r = -2*n - k*u - 3 + 19, 0 = -5*n - 5*u + 30. Solve -13 + 1 = -n*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 + -c64762?\nAnswer: -c64769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 51600 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5*z + 6. Let y(m) = 11*m + 13. Let i(c) = 13*s(c) - 6*y(c). Let x(d) = d**2 + 8*d - 1. Give 14*i(n) + 2*x(n).\nAnswer: 2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**4*n**5)**(-18)\/(((n*n\/n**7)\/n)\/n**(2\/11))**(17\/2) assuming n is positive.\nAnswer: n**(-1204\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sxfxfs. What is prob of sequence fxfs?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 2074.\nAnswer: 20740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4\/5 - 72*q**3 - 10503*q**2\/5 - 9438*q\/5 + 20304\/5 = 0. Calculate q.\nAnswer: -72, -47, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -10 (b) -395\/11 (c) 1\/7 (d) 4 (e) 3 (f) 16 (g) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = 5*i - i. Let o be (-2)\/7 - (-8)\/i. Which is smaller: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3 - 269*a**2 - 4599*a - 20331.\nAnswer: -(a + 9)**2*(a + 251)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**5 - b**5 + 4*b**5 - 2*b + b**5 + 2*b + (-2*b + 4 - 4)*(-6*b**4 + b**4 - 2*b**4) + 2*b**5 + 0*b**3 + 0*b**3)*(3 - 1 - 17).\nAnswer: -270*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 2*x - 18. Let c be 0\/(-2)*(855\/(-76) - -11). Solve 3*a = -c + x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1359086 and 8606?\nAnswer: 662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ubbiubiibbbbbbbi. Give prob of sequence buii.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/856 and 119\/20.\nAnswer: 4280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -5\/5806?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-3 + 2 + -5).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*j - 29 + 6 = 0, 0 = 2*j - 8. Suppose 4*v - 4*y + 71 = 891, 0 = -i*y. Let n = v - -3. Is 40 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220954*g - 168 = -220961*g for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.5 - -9. Let h = d - 0.5. Is h at most as big as -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2036 * -1384.8.\nAnswer: -2819452.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -34.17 and 0.342.\nAnswer: -11.68614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 765 and 28638115.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4703, 9191, 13521, 17693, 21707, 25563, 29261?\n\"Answer: -79*n**2 + 4725*n + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 66 = 2617*p - 2614*p, 5*k + 88 = -4*p for p.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 31. Let z be g(-15). Let b(i) = -i**2 - 15*i. Let s be b(z). Let f be (-2 - -1)*(-1 + s\/4). Put -4, f, 1, 8 in descending order.\nAnswer: 8, f, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -125 - -177. What is the greatest common factor of u and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928009 is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -5*k - 5*z, -25 = 5*k + 37578*z - 37576*z for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -77 + 76.9999954. What is u rounded to six dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5079055213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u + 4581 - 4581 - u - 8*u**2.\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 76\/(-15) + (-110)\/(-9075)*33.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - a = 2, n = 5*a - 17 + 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 642258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m**(-2\/13)))\/(m\/(m\/m**(-8\/15))) assuming m is positive.\nAnswer: m**(134\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 7:34 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*q**4 + 12*q**3 - 2*q**2 + 483*q wrt q.\nAnswer: -240*q + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -43) + (-55 - (-130 + 56)).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000018414 to 7 decimal places.\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3169 - 1895. What is the highest common factor of z and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 3*b - 1, -4 = -2*m + 5*b - 15. Suppose 2532 = m*n + 4*c - 2*c, 0 = 5*n + c - 6334. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 186587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h - 22. Let z be y(5). Let u = z + -26. Solve -t + u = t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 10198?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -9*y**3 - y**2 + y. Let a be i(1). Let s(z) = z**2 + 5*z + 2. Let p be s(-4). Let k be (-9)\/a*(-8)\/p. Solve -k*d = 4*u - 7 - 1, 3*u = d + 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 32763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.2 (b) -146 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4017*l**3 - 1450.\nAnswer: -12051*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2641 + 2644. Solve 41 = -x*r + 5*v + 4, -45 = 5*r - 5*v for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113724157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 407790001 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*m + 28*m + 26 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**5\/5 - 3*z**4 - 2382*z**3\/5 + 5004*z**2 + 11880*z = 0. Calculate z.\nAnswer: -30, -2, 0, 15, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rddfrbdyrifb. What is prob of picking 3 d and 1 y?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4, -0.1, -66, 91424 in decreasing order.\nAnswer: 91424, 4, 2, -0.1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 293774.1 times 0.3\nAnswer: 88132.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.47323 rounded to 2 decimal places?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 109052.18 to the nearest 1000.\nAnswer: 109000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*w - 16315 = -136*w. What is the highest common divisor of 1352 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**4*w**3 - 56*f**4*w**2 - 19*f**2*w**3 - f**2*w wrt f?\nAnswer: 48*f*w**3 - 1344*f*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -126 - -126. Suppose x + u*x = -p, -4 = -p + x. Solve 0 = -p*f + 6*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.117621963 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 16*q = -1428. Is q a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17584543*n**2*s**2 - 3*n**2 - n*s + 7*n - s - 304 wrt s?\nAnswer: 35169086*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -2*z + 2*o + 6, 3 = -5*z - o. Suppose 3*x + 0 = 3. Sort x, -1, z in decreasing order.\nAnswer: x, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n + 18*n - 23583 = -6471. Is n <= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/35 + 4\/56*15122. Suppose -13*f = -23*f + a. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/(-5) - (-24)\/(-60). Suppose -2*m = -4*m - x*p + 8, 4*m + 5*p - 18 = 0. Suppose m*o = -5 + 35. Is o a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 301750 and 6000.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -132443 (base 7) in base 15?\nAnswer: -75b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3136 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 99637.86 months in years?\nAnswer: 8303.155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9415 and 194275835?\nAnswer: 1345","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.254434968 rounded to 2 decimal places?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*x = -1227 + 2127 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 80\/(-15) + 4\/(-6). Let s be (22\/j)\/(7\/(-19005)). Suppose -s + 1255 = u. Round u to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**5\/15 + w**4\/12 - w**3\/9 - w**2\/6 - 7. Factor h(z).\nAnswer: z*(z - 1)*(z + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -736, -4339, -14108, -33127, -64480, -111251?\n\"Answer: -514*m**3 + m**2 - 8*m - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 21\/4*p**4 + 82 + 0*p**3 + 0*p - p**2 + 0*p**7 - 295\/336*p**8 + 0*p**6 + 0*p**5. Find the second derivative of w(v) wrt v.\nAnswer: -5900*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 27*i + 8. Determine h(-3).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 883301432.\nAnswer: 2, 13, 8493283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 - 428*c**2 + 432*c.\nAnswer: -4*c*(c - 1)*(c + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*u**3 + 23*u**3 - 39*u**3 - 4617324*u + 4617324*u.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 99.735 - 100. Let u = q + 0.2789. What is u rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 + 2 - (79 + -60)) + (8 - 0).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 - 47*o**3 + 46*o**3 + 0*o**2.\nAnswer: -o**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*p - p. Let x = 1 + p. Let n be x*1*-39 - -1. What is the greatest common divisor of n and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*n + 14*n = -7*n + 2295 for n.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.356 - -17402579881.\nAnswer: 17402579879.644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 436 (base 11) to base 13\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*g**2 + 8*g**2 - g**2 - g**2 + 0*g - 2*g**2 + 0*g + (-1 + 1 - g)*(g - g + g) + 2*g**2 - 2*g**2 - 2*g**2.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10543 + 2*n + 26631 - 2*n + 3*n.\nAnswer: 3*n + 37174","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1111544?\nAnswer: 2, 7, 23, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33\/2 - -17. Let l = 11 + -7. Let s be (-2)\/10 + (-4)\/(-20). Which is the closest to s? (a) l (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 0*z**2 + 3*z**2 - z**2 + z**2 - z**2 + (0*z + 4*z - 3*z)*(2 - 2 - 2*z) - 3*z**2 - z**2 + 2*z**2 + (-z + 4*z - 2*z)*(153*z + 532*z + 58*z).\nAnswer: 739*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/7)*n*(n*n**(1\/2))\/n)**3\/((n**7*n**(2\/7))\/((n\/n**4)\/((n\/(n*n**(1\/4)))\/n))) assuming n is positive.\nAnswer: n**(-163\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 202.4\nAnswer: 205.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 1.1. Let a(z) = z**2 + z - 41. Let b be a(-8). Let o = b - 52. Is p < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16581 - 28695 = 1065*u + 25161 for u.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**3 - 4655285*c**2 + 9310555*c - 4655275 = 0. Calculate c.\nAnswer: 1, 931055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7111165 is divided by 1015877?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (11 - (-70)\/(-10))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*j**3 - 30495364*j**2 + 121981408*j - 121981392 = 0. Calculate j.\nAnswer: 2, 7623837","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of 139 + 78\/7*c - 3\/7*c**3 - 111\/14*c**2. Let i(h) = 0. Calculate h.\nAnswer: -13, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*u - 14*u - 225*u - 52*u = -13528 for u.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12669 = 4*r - d, 6*r + 5*d - 9496 = 3*r. What is the remainder when r is divided by 66?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1730220 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 209484 to the power of 1\/2, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7320644 by 1132.\nAnswer: 6467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t. Let x(i) = 29*i + 5. Let k(a) = 18*a + 3. Let m(j) = 5*k(j) - 3*x(j). Calculate -3*m(b) + 4*y(b).\nAnswer: 7*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 5*c + 13 = 0, -f - 7*c + 4 = -6*c. Sort -1, -447, f in decreasing order.\nAnswer: f, -1, -447","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4091\/4332 - -10\/361. Calculate the common denominator of p and -63\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3184902638 to the nearest integer?\nAnswer: 56435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 2 = -0*w - 3*w, 4*w + 8 = 0. Let i = -0.08 - -0.09. Let s = i + -0.01. Which is the nearest to g? (a) -3 (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 10 = -34784*f + 34783*f, 3*q - 17 = -4*f for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 = -4*o - x + 1906, 0 = 2*o + x - 694. What is the highest common divisor of 180 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2409 times -25.5?\nAnswer: -61429.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 - 22*l**2 + 2*l + 43. Give t(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 3*l + 27, 44*k - 43*k = -5*l + 11. Solve k + 2 = -8*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**3 + 0*j**3 + 0*j**3 + (0*j + 0*j + j**2)*(2*j - 1 + 1) + 0*j**3 - 3*j**3 + 2*j**3 + (-7*j + 3*j - 2*j)*(236 - 236 + 206*j**2).\nAnswer: -1237*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.5 (b) 67 (c) 2\/9 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 315 (b) 3 (c) -55 (d) -0.1 (e) -2 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -5076 >= -5073?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) + 1*sqrt(140)*6 + sqrt(140))\/sqrt(10))\/(sqrt(35)\/(-3*sqrt(25)\/sqrt(5))).\nAnswer: -24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2192 - 2034. What is the remainder when g is divided by 87?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the second derivative of -1\/180*t**6 - 7\/18*t**3 - 1\/60*t**5 + 1\/6*t**4 + 5\/12*t**2 + 0 - 38*t. Find i, given that z(i) = 0.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qp when two letters picked without replacement from {i: 3, w: 5, c: 1, p: 3, f: 4, q: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.25 and -3065.18?\nAnswer: 766.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - (1 - (0 + 2)). Let i = 9 - 11. Is a != i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, -3, 0, -2 in decreasing order.\nAnswer: 99, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23303671 is divided by 13604.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1339 - -3152?\nAnswer: 4491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -34. Suppose -a - 2*a + 30 = 0. Calculate the least common multiple of a and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -187 - -180. Let q be (6\/m)\/((-9)\/84). Solve -3*o + q*o = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1. Let m(p) = -29*p + 3. Suppose -20 = 3*w - 2*z, 91*z + 21 = 94*z. Determine w*i(c) - m(c).\nAnswer: 29*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 6615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 704 and 132.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -7*z - 15. Let p be f(-6). Solve -5*g + p = 2 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -2 - 4. Suppose 2*m = c*m + 3, -5*f = -3*m - 69. Is 10 a factor of (-122)\/(-8) - f\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47 + 9?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 0.14.\nAnswer: 0.056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -10 + 10 + -6 - -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 197 + -137. Let o = -53 + h. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13943599?\nAnswer: 1487, 9377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -90? (a) 0.14 (b) -0.9 (c) -5 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2. Let z(k) = 3*k + 3*k - 7*k. What is s(z(p))?\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 498*i + 7099. Determine q(-15).\nAnswer: -146","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/8)\/c**6)**(-6\/7) assuming c is positive.\nAnswer: c**(141\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 37 + -20 + -18.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 75841.7m?\nAnswer: 75.8417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*i = -154, -3*i - 170 = -5*w - 8*i. Let s = w + -9. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-474 + 476)*2\/6*(-9)\/(-129).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*4\/(-16)*4 - 6 - -9309005. What is b rounded to the nearest 100000?\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 + 11212?\nAnswer: 11221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3468873359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**5\/10 - 49*k**4\/12 - 451*k**3\/6 + 9*k - 8. What is the second derivative of g(t) wrt t?\nAnswer: -12*t - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/7 - 20108*f\/7 - 20107\/7.\nAnswer: -(f + 1)*(f + 20107)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of p**7\/525 - p**6\/75 + p**5\/75 + p**4\/15 - p**3\/5 - 8*p**2 - 8*p. Factor a(o).\nAnswer: 2*(o - 3)*(o - 1)**2*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 m when three letters picked without replacement from qmqqcmqmqqqqcqqqq?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/7)\/((648\/84)\/9).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -14 + (111 - 108)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 391a (base 15) in base 13?\nAnswer: 5707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**2 - 9*a**2 - a**2 - 4 - 8*a**2 + 18*a = 0?\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 162 + 5\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -10054037.7 to the nearest 10000.\nAnswer: -10050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 965.7911 milligrams to micrograms.\nAnswer: 965791.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2338\/55 or 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 152?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0291435 - 1705783.\nAnswer: -1705783.0291435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/2 of a micrometer?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that i**3\/5 + 33406119*i**2\/5 + 55798435991496*i - 55798442672720 = 0.\nAnswer: -16703060, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-1 + (-2)\/(-3)). Let m = 2\/13095 - -4363\/13095. Solve -m*z - t + 2\/3*z**2 = 0 for z.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u**2 - 5*u**3 + 231 - 5*u - 481 + 9*u**2 + 245. Let q(m) = -5*m**3 + 6*m**2 - 6*m - 6. Give -6*g(a) + 5*q(a).\nAnswer: 5*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 190 - 188. Find the second derivative of j + 12*j**a + 3 + j**3 + 8 + 2 + 27 wrt j.\nAnswer: 6*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from {b: 2, a: 1, h: 1, y: 3}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {x: 1, t: 2, o: 1, u: 1, v: 1, z: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -15 and 91908738470?\nAnswer: 91908738485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3. Let l(b) = -116*b + 102*b + 5 + q. Is l(-4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**3 + 8574572*c**2 - 960314432*c + 26888452864.\nAnswer: -4*(c - 2143531)*(c - 56)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.08 rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 822 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3574587746?\nAnswer: 2, 1787293873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of -2*p**3\/3 - 3*p**2\/2 + p. Let d(o) = -3*o - 2. Let n be (9\/4)\/(6\/8). Let w(a) = n*d(a) - 2*z(a). What is w(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -207*y - 6. Let o(l) = -11*l**2. What is o(r(t))?\nAnswer: -471339*t**2 - 27324*t - 396","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 35 - -4d?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -179*k**2 + 4091*k + 598 = 0.\nAnswer: -26\/179, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15433799?\nAnswer: 15433799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6 + 6 + 0*r - 5*r. Let w(j) = -j. What is 4*o(p) - 18*w(p)?\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 28*x - 116. Let f = 126 + -104. Is w(f) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5d + 3?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -455*k*o**2 - 138*k*o - 439897872*k + 22*o wrt o?\nAnswer: -910*k*o - 138*k + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 760732 divided by -4\nAnswer: -190183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*k**4\/3 - 103*k**3\/3 + 226*k**2 - 444*k - 216.\nAnswer: (k - 9)*(k - 6)**2*(5*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2 + 2*f + 1. Let h be l(-2). Solve 3*a = h - 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -177 or -178?\nAnswer: -177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-264)\/121)\/((-368)\/46)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/5424 and -113\/2000.\nAnswer: 678000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*7\/(-4)*42\/(-49).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -334323314 - 20?\nAnswer: -334323334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2836*y + 456*y**3 + 823*y**3 + 2836*y.\nAnswer: 1279*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 + 35*h - 14. Give m(18).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 3*t + 346. Let l be h(-17). Solve -5*k = -n + 9, 2*n + l = 4*k - 6*k for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23.4 - -23.400199. Round w to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 177.5 - 177.4. What is the smallest value in 3, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v**2 + 6*v - 18. Determine s(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 AM and 5:49 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 4*k + 2. Let l(i) = -i**2 - 3*i + 21. Let c be l(-6). Give g(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 287233 - 70347 + 2*f - 216886.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*u**3 + 19*u**2 + 1 - 6*u**2 - 31*u**3 to the form z*u**3 + n*u**2 + w + p*u and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that j**2 - 172*j - 885 = 0.\nAnswer: -5, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 11786857 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 9*c + 6 - 27 + c**3 - 3 + 12*c**2. Let f be d(-11). Sort 5, -1, f in ascending order.\nAnswer: f, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1204\/25284 - ((-3274)\/42)\/1.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 10 + 26. Suppose 0 = 2*m + m - q. Let r = 1 - -6. Calculate the remainder when r is divided by m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/107, 1.7, -96\/7, 2 in decreasing order.\nAnswer: 2, 1.7, -1\/107, -96\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**4 + 2*x**4 + x**4)*(3 - 4 - 1) - 4*x**4 + 7*x**4 + 2*x**4.\nAnswer: 11*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/63 and -59\/1272705?\nAnswer: 3818115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 181533*r + 99747.\nAnswer: 181533","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3546 + -151?\nAnswer: -3697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6341369, 6341370, 6341371, 6341372, 6341373?\nAnswer: 6341374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61816?\nAnswer: 2, 7727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 7*s**2 + 3. Let l be g(-7). What is the third derivative of -53 + 53 - 43*n**2 - 35*n**l wrt n?\nAnswer: -210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (0 - 1) - (-15 - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -51, -174, -465, -996, -1839, -3066, -4749, -6960?\nAnswer: -9771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2178405367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 - -62.7. Let k = -16 + w. Let b = -25\/34 - -4\/17. Which is bigger: k or b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**2 + 72062104*c - 649118354113352.\nAnswer: -2*(c - 18015526)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 377 is divided by 94.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 4:15 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -959, -970, -979, -986?\n\"Answer: o**2 - 14*o - 946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.15 - -0.178. Let p = h - 0.027958. What is p rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -f**4 + 96072*f**3 - 288210*f**2 + 288208*f - 96069 = 0.\nAnswer: 1, 96069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of -3*p**8\/2240 + p**5\/20 - p**4\/8 - 12*p**2. Let x(a) be the second derivative of r(a). Differentiate x(o) with respect to o.\nAnswer: -27*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 - 15 + 38 + 77*t - t**2)*(-3*t - t + 5*t).\nAnswer: -t**3 + 77*t**2 + 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1167515 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.521 rounded to 2 decimal places?\nAnswer: 3.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 96 + -36. What is the greatest common factor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8779 is divided by 4284.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 642804 and 14169636?\nAnswer: 325901628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73188, -146272, -219340, -292392, -365428, -438448, -511452?\nAnswer: -584440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*c + 2, 0 = 5*z + 3*c - 569. Let s(p) = 2*p**2 + 9*p + 8. Let y be s(-4). Suppose y*r = 3*l + z, r = l - 4*l + 40. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193944934?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-699)\/(-2) - 81\/54.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 12 = 5*y, 4*y - 5*y = 2*k + 6. Let p = 0.01 + -3.01. Which is the closest to y? (a) p (b) 1 (c) 0.001\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4532 and 846454?\nAnswer: 18621988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*((j\/(j*j**(-3)))\/j)\/j*j\/(j\/j**(4\/9))*j*j*j**(2\/13)*j*j**5*((j**(-1\/3)\/j)**(-2\/17))**4 assuming j is positive.\nAnswer: j**(22328\/1989)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 e when two letters picked without replacement from {e: 2, s: 5, l: 11, t: 2}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.126809 minus 14.2?\nAnswer: -14.073191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 + 8?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -175*z - 30597 + 526722. What is the least common multiple of z and 504?\nAnswer: 22680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -497775229 - -251925314. Let v = s + 168319024. Let g = 44030891 + v. Round g to the nearest 1000000.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 2. Let p(h) = h**3 - h**2 + 7*h - 8. Let c(d) = -5*a(d) - p(d). Let r(g) = -1. Calculate -c(x) + 2*r(x).\nAnswer: x**3 - x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 613898?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 2, 20, 44, 80, 134, 212, 320?\n\"Answer: z**3 - 3*z**2 + 20*z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53507689*i + 36038034?\nAnswer: -53507689","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -4*d - 172. Let b(k) = -k. Calculate b(h(v)).\nAnswer: 4*v + 172","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/2, -5, 408.79, 3\/8 in increasing order.\nAnswer: -5, 3\/8, 3\/2, 3, 408.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1251 and 827463942?\nAnswer: 1251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q + 21025 - 20824 + 0*q in the form c*q + n and give n.\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24274.182 months to millennia.\nAnswer: 2.0228485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (32 - 11) + -109 + (1 - -14) - (-4 - 10).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the second derivative of g**5\/20 - 23*g**4\/12 + 13*g**2\/2 - 8*g - 6. What is the remainder when 101 is divided by t(23)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2437*r**4 + r**2 - 2*r + 513988.\nAnswer: 29244*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-16)\/(-120) - 56957824\/(-420) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 105, 183, 263, 345, 429?\nAnswer: 515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12780 + 31183. What is the hundreds digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 12032104?\nAnswer: -12032103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 20*o + 11 - 11 - 60 - 37. Calculate the remainder when (-1 - -89) + 2\/2 is divided by f(6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 8 - 7)*(0 - 3 + 1)*(-t - 1 + 1) + 6*t - 3*t - t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 0*h - 212*h**2 + h**3 + 216*h**2 - h + 1. Calculate c(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -52114, -52131, -52150, -52171, -52194, -52219, -52246?\n\"Answer: -i**2 - 14*i - 52099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*i = 0. Suppose i - 4 = -2*v. What is the highest common factor of v and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 - (-2 + (5 - 7)). Factor 4*h + 114*h**f - 255*h**2 + 113*h**2 + 4*h.\nAnswer: -4*h*(7*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 136827709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1845.948 decades?\nAnswer: 18459.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 577*q**3 + 579*q**2*u**3 - q*u**3 + 2*q - 4805*u**3 - 18*u wrt q.\nAnswer: 3462*q + 1158*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 346b6 - -2?\nAnswer: 346b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iikikii. Give prob of sequence iikk.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence am when two letters picked without replacement from meoeaeemaam.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2. Let r = 3 + -1. Let c = -156 - -158. Let v(b) = 7*b**r + 0*b**c - 8*b**2. Give v(x(g)).\nAnswer: -g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 45, 246, 575, 1026, 1593?\n\"Answer: -x**3 + 70*x**2 - 2*x - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204, 303, 456, 669, 948, 1299?\nAnswer: 1728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/11, 3\/76, -3?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16726969801 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (30\/(-12))\/(5\/(-12)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**6 + 11*q**3\/3 - 14. What is the third derivative of p(h) wrt h?\nAnswer: 360*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, o: 1, b: 2, y: 3}. Give prob of sequence yv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1056259 and 8636.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2690 + 1249 + 973)*(-3 + 5 + 3)*(3*w - w - w) to the form o + c*w and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 3*c + 4 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4511699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-1\/9)*q*q*q))\/q*q*q**12*(q**(-1\/2)\/q)\/(q*q**(-1\/8)) assuming q is positive.\nAnswer: q**(557\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -5. Suppose -33 = -0*d - d + 5*h, -h = -4*d + 75. Let n = p + d. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-16 - (-9 + (-5 - -49)) - (-5 - 4))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -23284, -93300, -209984, -373336, -583356?\n\"Answer: -23334*l**2 - 14*l + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -106*q + 1011. What is the thousands digit of i(-54)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -f**6\/6 + 11*f**4\/12 - f. What is the third derivative of i(o) wrt o?\nAnswer: -120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - -247 - (-33 + 32). Let i = 256 + x. Is i a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.641502 centuries in months?\nAnswer: 6769.8024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3367.\nAnswer: 7, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 8974*p = 8970*p - 21, -p = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-5)\/(-3))\/(17\/51)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, l: 1, f: 4, t: 8, j: 1}. What is prob of sequence jf?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3*y + 9 = y, 0 = y. Which is the second smallest value? (a) 3\/7 (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3658725237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 41220 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -83 times -5\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -1554\/378031 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 236 and 4366.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -186 - -185.6. Let u be (-2)\/2*-1*7. Suppose -u*z = -3*z + 8. What is the second smallest value in q, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 + 3*b**2 - b. Let i be ((-7)\/((-28)\/(-6)))\/((-1)\/(-2)). Determine j(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - 4. Let t(r) = 3*r**2 - r + 2. Let n be t(1). What is q(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c + c - 3 - 2 + 2. Let a be d(-2). Suppose 0 = a*x - 95 + 30. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*x + 47375 = 0, -4*j - 3*x + 6247 + 31656 = 0. Suppose 0 = -3*n - 4*n + j. Does 54 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(147) - (sqrt(147) - (sqrt(147) + -2 - sqrt(147))))**2 + (sqrt(147) + 2 + -1 + sqrt(147) - sqrt(147))**2 + (4 + 0 + sqrt(147))**2 + -3)*4.\nAnswer: 280*sqrt(3) + 1328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**5\/6 - 58*q**4\/3 + 1738*q**3\/3 - 3191*q**2\/3 - 1159*q\/2 + 1083 = 0.\nAnswer: -1, 1, 2, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*b**2 - 19674678*b - 32257746200307 = 0. What is b?\nAnswer: -3279113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j**2 - 2*j. Let l(o) = 3*o**2 - 2*o + 1. Let n = 32 - 30. Let g(i) = -n - i**3 - 6*i**2 + 5 + 9*i + 9. Let h be g(-7). What is h*l(p) + 3*d(p)?\nAnswer: 3*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/920 and -93\/315560.\nAnswer: 315560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1729 or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8 + r**2 - 10*r + 4 - 4. Let w = -29110 + 29119. What is c(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*i - 152. Let o = -13 + i. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2745360.77 to the nearest 1000.\nAnswer: 2745000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20522849 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -5*s + 4*o, 7 - 12 = -5*s - 3*o for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4461929219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -8985840 to the nearest 10000.\nAnswer: -8990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -150, -276, -420, -588, -786, -1020?\nAnswer: -1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/352 and -85\/48.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, p: 2, e: 2, s: 1, x: 7, f: 4}. Give prob of picking 1 w, 1 f, and 1 s.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-99)\/(-2310)*-21*(-15)\/(-6)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -583575*x**2 + 0*x + 585108*x**2 + 0*x in the form n + p*x**2 + r*x and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -5) + -1 + -5 + 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 2882\/1861 and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v = -i + 21, 21 = i - v. Solve 7*j + i = -0*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2295252g in micrograms?\nAnswer: 229525.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9628 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 s = -71017 - -71055.003. Let d = 38 - s. Round d to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60786373 a multiple of 1437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 76301212 to the nearest integer?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 80? (a) -42 (b) -0.3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of 32*p**7\/105 + 7*p**6\/120 + 2*p**5\/5 + 5*p**3\/2 - 1280*p**2. What is the third derivative of w(i) wrt i?\nAnswer: 1536*i + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 471776.796 to the nearest one hundred.\nAnswer: 471800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/5 and -47\/56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 414185423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 130 and 91?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - 8*p + p)*(2 - 5 + 4)*(4 - 4 + p) to the form y*p**2 + s*p + z and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10831 - 10192. Let b(q) = -q**3 + 14*q**2 - 11*q - 17. Let z be b(13). What is the highest common divisor of z and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 804414 (base 12) in base 4?\nAnswer: 13213311100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*176\/((-216)\/(-27))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 390 + 2 - (-16 - -11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b - 2*b**3 - b**2 + 0 + 3*b**3 + 2. What is the units digit of z(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 15. Let c be (10\/6)\/((-1)\/z). What is the units digit of 34\/c + (-6)\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of -3*g**2 + 149*g + 7498. Calculate x(23).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 537 - 524. Calculate the greatest common divisor of f and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38837?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 h, and 1 l when four letters picked without replacement from rhpldlrlphgdlhrrd.\nAnswer: 3\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -3529 less than or equal to -3531?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1.9. Let l be (7 - 8)*2\/(-4). Which is the closest to 0.1? (a) l (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 11:48 PM?\nAnswer: 6:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1350 and 2208825?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 1 - 3)*(72*k + 297*k + 56*k).\nAnswer: 2550*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -974 + 973. Let h = 3.09 - 3. Let s = 0.41 + h. Which is smaller: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343234794 is divided by 577.\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(((-45)\/110)\/3). Let q be (w\/(-198))\/(4\/(-6)). Which is the closest to -1\/5? (a) q (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -31, -22, -11, 2, 17?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 20979996 divided by -3\nAnswer: -6993332","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.52 + -41.52. Let j = k - -43. Let a = 0.5 + 0.5. Sort 0.04, a, j in increasing order.\nAnswer: 0.04, a, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 a when four letters picked without replacement from {t: 2, a: 16}?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of -o**4\/4 - o**2\/2 - o + 1. Let r(d) = -d**3 - 2*d**2 + d - 2. Give h(l) + r(l).\nAnswer: -2*l**3 - 2*l**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 4, 0.5, -2\/57 in descending order.\nAnswer: 4, 0.5, -2\/57, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 33?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (12\/(-4) - -11). Let n be 10 + a - (0 + -2). Let k be (-9 + 4 + n)*-2. Solve -24 = -2*q + 4*v, -k*q - 2 = v + v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 43.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*h**4 - h**3 + h**2 - 34 wrt h.\nAnswer: 360*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-50))\/((-6996)\/3113220).\nAnswer: -89\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -321 - 3203222?\nAnswer: -3210203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5301329 times -2?\nAnswer: 1.0602658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i + 8. Suppose 14 = 2*t - 0*t. Let b(f) = t*f - 4 + 6 + 9 - 2. Let n = -2978 - -2982. Determine n*b(d) - 5*s(d).\nAnswer: -2*d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 23*z**2 - 2 - 4.\nAnswer: -23*z**2 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-44)\/21 + (-180)\/(-27). Solve z + 34\/7*g + 2\/7*g**2 = 0 for g.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -9*f**3 + 110*f**2 + 279*f - 2621. What is y(13)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9.937734 or -42?\nAnswer: 9.937734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**1\/(i\/(i\/(i\/(i*((i\/(i\/(i\/(i\/(i\/((i*i\/(i\/(i\/(i\/(i*i**(-5\/2))))))\/i)*i))*i)))\/i)\/i))))*((i*i**(-2\/7)\/i)\/i*i)**1 assuming i is positive.\nAnswer: i**(45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2244130.\nAnswer: 2, 5, 7, 32059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 6)*6\/(-15). Let r be (-74)\/4 + l\/(-4). Let a = r - -55. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, t: 1, m: 1, q: 1, i: 1}. What is prob of sequence mit?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6*4\/(-56) - 0. Let s = 752 + -752. Let w = 28\/3 - 9. What is the fourth smallest value in s, w, 3, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2695, -197, -4977, -11651, -20225?\n\"Answer: -v**3 - 938*v**2 - 71*v + 3705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/3 + 64*v\/3 - 19712\/3.\nAnswer: (v - 112)*(v + 176)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-5 + -9 - -8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**5\/60 + 7*k**4\/24 + k**3\/3 + 5*k**2\/2 + 27*k - 2. Let s(w) be the second derivative of f(w). Calculate s(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3909 = 3*k - 5*m - 10706, -19472 = -4*k + 3*m. Is 139 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -5\/2*n**4 - 7\/4*n**5 + 1\/2*n**6 + 1 + 16*n + 10*n**3 + 20*n**2. Find b, given that u(b) = 0.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17207*b + 23498*b - 6765*b.\nAnswer: 33940*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1822088 is divided by 1040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 4*a + 2. Let z be n(4). Let o = 9 - 5. Suppose -l + 3*l - 10 = 0. Put l, o, z in ascending order.\nAnswer: z, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12951 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3982 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 113 = -1907. Is q a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -73 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -18986906?\nAnswer: -18986906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**3 + 1803 - 1841 - 196*j + 200*j)*(-2*j + j + 0*j).\nAnswer: -2*j**4 - 4*j**2 + 38*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 564359801 a multiple of 3516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -0.4, -4820 in ascending order.\nAnswer: -4820, -0.4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*n**6 - 143*n**2.\nAnswer: -5280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21 and 19614?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k\/k**(1\/4))\/k)\/(k**(-31)*k))\/(k**(-4\/23)\/k**(2\/73)) assuming k is positive.\nAnswer: k**(207869\/6716)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(-45) + (-6)\/(-27). Suppose h = 5*b + 4*n - 115, 4*n = -2*b + 2*n + 44. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 185736 - 185733. Let j be (1\/(-10))\/(10\/(-24)). Which is smaller: w or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -99 and -23.\nAnswer: 2277","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-2\/3))**(1\/72)\/(v\/(v**(-2\/7)*v)*v**(-7)) assuming v is positive.\nAnswer: v**(10159\/1512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -621 + 3021. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7063, -14153, -21277, -28453, -35699, -43033, -50473?\n\"Answer: -3*n**3 + n**2 - 7072*n + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.008 - 44946.\nAnswer: -44946.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 1. Let y(m) = -13*m**3 - 39*m**2 + 39. Give 78*s(v) - 2*y(v).\nAnswer: 26*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s + 6. Let a be l(1). Suppose -2*q = -4*j + 216, -a*j - 2*q = -398 + 110. Suppose -73*c + 69*c = -j. Calculate the least common multiple of c and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 48. What is the lowest common multiple of n\/(4\/(-8) - (0 + 1)) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -3005230?\nAnswer: -3005225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 441\nAnswer: -1323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1061237060?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5171 + 2*b**2 + 11*b**3 - 10347 + 5176 - 26*b**3 - 12*b**3.\nAnswer: -27*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -5*m**3 - 50*m**2 + 9*m + 74. What is a(-10)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwpwwwwpwpwwwwww.\nAnswer: 143\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19001 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -6 - u + 3 + 4. Let w be b(-4). Solve 0 = w*k + f + 29, -2*k + 3*f = 2*f + 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 99 or -116.3?\nAnswer: -116.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/8 - (1 - (2 - -567)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + -3 + (3 - 25) + 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**5 - 342*w**4\/7 + 219*w**3 - 1622*w**2\/7 - 264*w\/7 = 0?\nAnswer: -1\/7, 0, 2, 3, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 6*h**2 - 18*h + 36. What is the tens digit of a(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - 1) + (126 - 119) + -4 + -4?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 3*d - 3. Let z = -17 + 19. Which is greater: d or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 75 + -68d9d?\nAnswer: -68d28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 693960 by -86745.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(0 - j + 0) + (2 + 1 - 2)*(-36890*j + 18078*j + 1 + 18092*j).\nAnswer: -722*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 29 - (-504 - -545 - (-1 + 22)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + (-19 - -16)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + sqrt(84) + 1*sqrt(84)*-1 + sqrt(84) + sqrt(84))\/sqrt(12) + sqrt(63)\/(sqrt(9) - (-2*sqrt(9)*6 - sqrt(9))).\nAnswer: 43*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 317*s**5 - 164*s**4 + 81*s**4 + 83*s**4 + s**5 - 2*s**5 + 3*s**5 + (s**5 + 1 - 1)*(3 + 0 - 1).\nAnswer: 321*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**2. Let q(a) = a - 12. Let s be q(8). Let v(t) = -t**3 - 4*t**2 + t + 6. Let r be v(s). Let l(n) = 46*n**2 - 49*n**2 - 2 + r. Give j(l(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*p**5 - 10*p**4 + 15*p**3 = 0. What is p?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5477\/51 or 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**5 - 10*o**4 - 265*o**3 + 990*o**2 - 720*o = 0.\nAnswer: -8, 0, 1, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = 12*n + 88 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -42*t + 117*t - 50*t + 4*t**2 as z*t**2 + s + k*t and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3234 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8240673 to the power of 1\/2, to the nearest integer?\nAnswer: 2871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (3 - -12) + -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -36. Let r(l) = -94*l + 17. Let x be r(w). Suppose -1485 = -4*i + x. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 1. Let a be k(-3). Suppose 2*x = -a*x + 60. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 158 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 18*k + 27. Let b(w) = w + 3. Let p(q) = 9*b(q) - t(q). Suppose -2*f + 4 = -4*c, -6 = -f - 0*f + 4*c. Let y be (6\/f + 2)\/(-1). What is p(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10345 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006740158855 rounded to six dps?\nAnswer: -0.000674","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 + 2*v**3 - 6*v**3 + (3 - 2*v - 3)*(1 - 1 - 2*v**2) + 0*v**3 - 3*v**3 + 5*v**3 - 6*v**3 + 2*v**3 + 2*v**3)*(-20 - 8 + 33).\nAnswer: 5*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p**3 - 106*p**2 + 37*p + 1060. What is a(-21)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -30, -79, -188, -381, -682, -1115?\n\"Answer: -4*q**3 - 6*q**2 - 3*q - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**33*a*a\/a**25*a*((a\/a**(1\/18))\/a)**(-1\/26) assuming a is positive.\nAnswer: a**(5149\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 + -13. Calculate the remainder when z is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56233212?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -20793, -83116, -186987, -332406, -519373, -747888, -1017951?\n\"Answer: -20774*t**2 - t - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + a + 2*s - 95, a - 3*s = 36. Suppose 24*v = a*v - 9. Let q(j) = 5*j**2 - 3*j - 5. Is q(v) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-5)\/5*(-8)\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2055 = -5*w - 445. Suppose 5*o - 4*r - 1101 = 0, 5*o = 3*r + 643 + 454. Let k = w - o. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3324*j + 27 = -3321*j. What is the remainder when 13 is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*m - 1475 = 676 + 4265 + 1264 for m.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (208\/(-156))\/((-35)\/(-84))?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -9. Suppose -x*l = 4*h, 0*h + 2*h = -5*l - 3. Let k = 3 + h. Let z(p) = p**3 - 3*p**2 - 5*p - 3. What is z(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 3 + 5*l - 7*l + 2. What is the units digit of u(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 645?\nAnswer: -642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002176331 to 7 dps.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19054 * -0.4.\nAnswer: -7621.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 408?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/1800*30*1*10\/(-252).\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5803 at most -5798?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - p = -37. Let k = -15 - p. Is 22 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 160581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in -29, 2, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 9:51 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(200))**2*6 - ((sqrt(200) + 1)**2 + -5).\nAnswer: -20*sqrt(2) + 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*l - 1 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 0.142 (c) 385 (d) 4\/9 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12306206 is divided by 1319.\nAnswer: 1255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 2 + 0)*((-1 + 2 + 0)*(-3 - c + 3) + 141 + 79*c - 141) in the form p*c + n and give p.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 4 in ascending order.\nAnswer: -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 - 24. Let k(o) = 5*o + 14. Let z be k(y). Let f = z + 98. Is 24 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, v: 1, q: 2, l: 1, f: 2, d: 2}. What is prob of sequence af?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(-8)*(2 + 72\/(-30)). What is the third smallest value in -8, i, -4, -26?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + q + 102 + 27 = 0, -q = -4*z + 104. Let c = -3 + z. Is 22 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60522853 to the power of 1\/4, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 558*f + 77727 + 163146 = -4165*f for f.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/8 in 460, 0.6, -83, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304, 669, 1642, 2615, 3588, 4561?\nAnswer: 5534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.382 + -0.282. Which is the third smallest value? (a) 5 (b) -9 (c) j (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.387843 to 3 dps.\nAnswer: 0.388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -30, 2 in descending order.\nAnswer: 5, 2, 1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (27 - (-6 - 15951\/(-468))).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five halves of a litre?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*a + 3 = 30. Solve 5*i = 5*h - 35, 7*i = -2*h + a*i - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b - 9. Let w(s) = s**2 + 7*s - 6. Let k be w(-7). Let g be l(k). Calculate the greatest common divisor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - p - 642 = 0. Let v = p + -168. Let y = v - -61. Let c(h) = h - 3. Determine c(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5218)\/10 - 2\/10. Let r = i + 5756\/11. Calculate the common denominator of 26\/5 and r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*n - 11 = -5*m, 0 = -2*n + 4*m - 8. Let t = -1.144 + 0.144. Put n, -0.3, t in increasing order.\nAnswer: t, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13128*d**6 - d**5 - 382*d**3 + 697*d**2 - 4*d - 10260 wrt d?\nAnswer: -1575360*d**3 - 60*d**2 - 2292","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129899 is divided by 3608?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -171, -698, -1685, -3222, -5399, -8306, -12033?\n\"Answer: -15*n**3 - 140*n**2 - 2*n - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 21*v + 10 = 19*v, 3*p + 10 = 5*v. Which is the nearest to p? (a) 28 (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 163201?\nAnswer: 293, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/10 + (-8)\/(-1 - 7).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18878 plus -0.4?\nAnswer: 18877.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46278.\nAnswer: 2, 3, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*u + 1794 = k + 124*u, -9010 = -5*k - 5*u. Is 8 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = 3*s - 45. Suppose 6*w - s = 4*w. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14573036963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3694, 3692, 3686, 3676, 3662?\nAnswer: 3644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmmmmfffmm?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -8*9\/(-6) + -2. Let d = 60 + a. Let o = -20 + d. Is 20 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4973420.\nAnswer: 2, 5, 139, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2360419 (base 10) to base 13\nAnswer: -6484c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of -g**6\/39 + 8*g**5\/65 - 28*g**3\/39 + 17*g**2\/13 - 12*g\/13 + 62. Suppose u(o) = 0. Calculate o.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -499, -4002, -13507, -32014, -62523, -108034, -171547, -256062?\n\"Answer: -500*d**3 - d**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 2\/9 (c) -0.3 (d) -0.5 (e) 13.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -692 + 5*m - 4*m - 3*m**2 - 29*m**3 + 0*m**3 + 683 to the form j*m**3 + c + d*m + k*m**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3000*r + 611 = -2987*r. Calculate the highest common factor of r and 235.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -47\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a minute in seconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/(-25))\/(42\/15 - -4).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve k**2 - 18584*k + 18583 = 0.\nAnswer: 1, 18583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 2667864.\nAnswer: 2667864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9796608 and 432.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228, 326, 264, 42?\nAnswer: -340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.21 and -2.626088.\nAnswer: -2.416088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o - 2502*o**4 + 2*o**2 - 3*o**2 - 1936 + 1305*o**4 - o wrt o?\nAnswer: -4788*o**3 - 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 53*f**2 + 3839*f + 1654. Calculate y(-72).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477492 divided by 4.\nAnswer: 119373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8) - (-17 - (-69)\/4). Solve p - k = l, p + 6 + 0 = 4*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 4 - 1)*(5 - 5 + 6 + (-4 - 3 + 6)*(-4 - 1 + 3) - 4 + 2 + 1)*(2*v**4 - 4*v**3 + 4*v**3) as a*v + f*v**3 + t + x*v**4 + b*v**2 and give x.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1276 + -759. Let h = 3625\/7 - s. Put 5, h, 2 in decreasing order.\nAnswer: 5, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19433 - 114*i - 19433)*(i**3 + 1 - 1).\nAnswer: -114*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 45594168*l**2 - 91188348*l.\nAnswer: 3*l*(l - 15198058)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 15*f - 13*f + 8, c = f - 17. Solve -19 = f*t - 7*t - 4*j, -2*t - 5*j = 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.15, -2\/9, 3, -3, 360.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*h - 4*h - 1 = -195 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35370 + -35373. Let f be (-4)\/(((-5)\/1)\/1). What is the second biggest value in f, j, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 3*w**2 - 2. What is i(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/(-2) + (-294)\/(-588))*1\/(-5). Which is the third biggest value? (a) -1\/2 (b) k (c) -8 (d) 18\/11 (e) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, 20, -0.21, 3.\nAnswer: -1, -0.21, 0.1, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 6*y**2 + 3. Let v be ((-27)\/(-12))\/(12\/32). Let t be a(v). Suppose -15 = -5*l + t*h, 5*h = -2*l + 11 - 36. Solve -4*m = -l*m + 20 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 28. Let u be s(-15). Which is bigger: 7\/6 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.2 - -0.2. Let v = -1 + j. Let z = -15.1 - v. Put z, 0, 3 in descending order.\nAnswer: 3, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 86, 183, 286, 395?\n\"Answer: 3*a**2 + 88*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 6:35 AM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-51)\/(-54) - 1)*(-46)\/7 and 40\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 d, and 1 p when three letters picked without replacement from {d: 1, o: 8, p: 2, k: 2}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -3086.8946 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -1*sqrt(45)*-3)*3)**2.\nAnswer: -810*sqrt(5) + 3870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -40636 less than 195?\nAnswer: 40831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 8. Suppose -2*q - 9 = 3*d, -m*d - 6 = 6*q - 2*q. Let c be 30\/d*2\/4. Put c, 0, -2 in ascending order.\nAnswer: c, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -10 - 10. Let l = p + -6. Let m = -1 - l. Solve -3*n - 6 - 9 = m for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*n - 49*n - 5 = 0. Suppose -6 = -g + 5*v, -16 = n*g + 5*v - 76. Let t be (g - 11)\/(2\/(1*2)). Which is greater: -1\/9 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2272 divide 585456108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 464?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 194977 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/31864562 and -19\/1734.\nAnswer: 95593686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (30\/(-25))\/(9\/(-30)). Let d be p\/(-10) - 344575070\/(-175). Round d to the nearest 100000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.2 times -13.416?\nAnswer: -16.0992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0084 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 1 = -26. Find the first derivative of 3*c - c + 0*c + g wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14099*i + 154 - 44 = -14121*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43209, -43204, -43199, -43194, -43189, -43184?\n\"Answer: 5*r - 43214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8\/7 or 55\/4?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1602387 and 549?\nAnswer: 97745607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -434443 (base 9) in base 4?\nAnswer: -333101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1487? (a) -385 (b) 2 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1341144273 to the power of 1\/5, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5712 and 44444256.\nAnswer: 311109792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 37970729 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = r + 2*d + 43, -d - 31 + 152 = 99*r - 182 + 29 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 6 - 4)*(1 + 0 - 2) - 3 + 1 - 2)*(-1 + 1 + 20*z) + (0 - 3 + 2)*(-z - 2 + 2).\nAnswer: -139*z","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**10\/d)\/d**(1\/14)*d**(2\/57)\/d**(-15) assuming d is positive.\nAnswer: d**(19123\/798)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1650*a - 6696. List the prime factors of i(20).\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 18. Let o be k(0). Let i be 4\/o + (-634)\/(-18). Suppose 6*u = u + i. List the prime factors of u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 + 18. Let r(x) = x**3 - 4*x**2 + 2. Let i be r(4). Solve 0 = -y*c - 18 + i for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3\/7 - 5\/21. Suppose 23 - 7 = -4*i, 3*p - 2*i = -1. Which is the nearest to l? (a) 5 (b) -0.3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1242 + 1224 - (1 - 46).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 10 = 2*w, 20 = -22*i + 26*i - 2*w. Suppose -3 = -5*s - 3*v + 7, -2*v = 0. Is 10 a factor of (0 - i) + (s - 3) + 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 1\/6 (b) 1\/2 (c) -1\/5 (d) -82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -458846 - -4588459\/10. Let z = 8 + -5. Which is the fourth biggest value? (a) z (b) o (c) 5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 2*q**2 - 5*q - 6. Let b be o(-3). Suppose -2*n + b*n = -56. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 178 - 158. Suppose -p*l + 1408 = 24*l. What is the highest common divisor of l and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a centimeter in micrometers?\nAnswer: 16250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 72 - -2 - (107 + -56 + -51)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20004445.\nAnswer: 5, 4000889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -452853 equal to -452853?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 2105664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29361*a - 29368*a + 203 = 0 for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = -2*y + 23, 2*t = -4*y + 5 + 1 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32184 and 96.\nAnswer: 128736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.62 - -1.02. Which is the nearest to t? (a) 1\/2 (b) 1 (c) -0.1 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 0, 2, -168.\nAnswer: -168, -5, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u + 1 - 1 + (-2*u - 4*u + 4*u)*(-517 - 362 - 370 + 138).\nAnswer: 2229*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + 111001?\nAnswer: 111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.1, -31 in descending order.\nAnswer: 0.1, -10, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x = 121 - 139. Let i(b) be the first derivative of b + 1\/2*b**2 + 0*b**x + 7\/4*b**4 - 2. Give i(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1\/11, 0, 153?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 512330123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 2 + 12 + -2 - 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*p + 2*l + 2366, -p + l + 593 = 0. Calculate the common denominator of (2\/(-20))\/(16\/p) and 109\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1140\/83 - -327855\/332. Let q = -1001 + t. Which is smaller: 113 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**4 - c**4 - 4*c**4 + (c**2 + 2*c**2 - c**2)*(-2*c**2 + 0*c**2 + 5*c**2))*(-1 + 3 + 2)*(6 + 18 - 19)*(-3 + 0 + 5).\nAnswer: 160*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -127*c - 14. Let a be g(-4). Suppose 10*k - a = -3*k. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4, 17 in decreasing order.\nAnswer: 17, 12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*i + 55*i**2 - 19*i**2 - 32*i**2 + 3 to the form l*i + h + b*i**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(912))\/sqrt(3) + -4.\nAnswer: -4 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/3 - (-26)\/(-13).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-8) + 15\/12. Let r be 4 + (m + 0)*1. Suppose -2*i + r + 56 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 111861 or 111902?\nAnswer: 111902","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 2\/1657?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/5 - ((-160)\/15 - -6)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145 is divided by 95.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 182 divide 15391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z + 4. Let s(v) = -9*v - 7. Give 7*r(w) + 4*s(w).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3105574 + 15?\nAnswer: 3105611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(-8))\/((-11375)\/1456).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 1 - 11. Suppose -c = -s*c - 2*v + 50, v = c - 25. Suppose c - 17 = 8*o. Solve -m - 3 = -o for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - (3\/(-3) - 12). Is (-3274)\/(-5) - (-2)\/t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixzii. What is prob of sequence xii?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 9) in base 10?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 11:31 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2671177019?\nAnswer: 7, 41, 1979, 4703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -145 divided by -3\nAnswer: 145\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3218*j**2 + 9*j. Let o(s) = 3*s. Calculate l(o(f)).\nAnswer: 28962*f**2 + 27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(343) + sqrt(343) + -1 - sqrt(336)\/sqrt(3) - ((1 + sqrt(7) - sqrt(7))*-5 + 5 + -1*sqrt(7)))**2.\nAnswer: -22*sqrt(7) + 848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1077 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-6) - 226\/3. Let a be b\/(-18) - 8\/36. Suppose 2*l + 74 = a*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 8\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of -r**2 - 28*r - 19. Let a be t(-10). Let z be a\/(-40)*2\/(-1). What is the smallest value in z, 1\/4, 0.4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 350 - 6159*t - 710 + 358 + (3*t - 4*t + 3*t)*(3 - 2 + 2).\nAnswer: -6153*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279 is divided by 89.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by -51\nAnswer: 73\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -2*x + 2*v + 304, 0 = 5*x - 2*v - 380. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(1584))**2 + (sqrt(1584) - (2 + sqrt(1584)))**2*-3 - ((1 + sqrt(704))*-4 + (sqrt(704)*2 - sqrt(704))**2 + 3).\nAnswer: -10219 + 32*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 19 - (-7)\/7*(-6 - -1). Sort 4, 1, z in decreasing order.\nAnswer: z, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 - 3 - (5 - 4) - (87 - 72)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((3 - 3 - x**2)*(-2*x - x + x) - 2*x**3 + 0*x**3 - x**3)*(-2*x - x + x) to the form p*x + s*x**4 + z*x**3 + i + q*x**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 127336970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3\/35 - -2\/7. Let f = 3 + -6. Let n = -4 - f. Which is the closest to n? (a) 3\/4 (b) i (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 5. Let c be (-11)\/l - (-2)\/(-6). Let n = c + 6. Solve 0 = 5*k - 5*m + 2 + 3, 3*k - n*m = -5 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 256, 38, -306, -776, -1372?\nAnswer: -2094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 5:10 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -121*f**2*w**4 + 96*f**2*w - 2*w wrt w?\nAnswer: -1452*f**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*x**3 + 262480*x**2 + 3675308*x + 12864264 = 0. Calculate x.\nAnswer: -7, 65634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/31, -1, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 214, 1742, 5872, 13906, 27146, 46894?\nAnswer: 74452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*u - 319043, -5*y = 11*u - 6*u - 531715. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 + 78. Which is the smallest value? (a) 7 (b) -1\/8 (c) t (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/24, -4, 0.4 in descending order.\nAnswer: 0.4, -1\/24, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -3*t - 3. Let u(n) = -5 + 0*n - 6*n - n + n**2. Let y(c) = -5*s(c) + 3*u(c). Factor y(f).\nAnswer: 3*f*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -624124, -624120, -624116, -624112?\nAnswer: -624108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -255 or 0.02?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4*v = 8 - 84, -3*v - 105 = 15*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4231?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*w + 10, 4*w - 2*o + 4 = -0. Sort -12, 2, w in descending order.\nAnswer: 2, w, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 63335305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3.57088 weeks?\nAnswer: 2159668224000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r - 6*r - 5*r in the form c + m*r and give m.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of -2\/15*r**5 + 0*r**4 + 5 + 0*r - 50\/3*r**3 + 2*r**2. What is the derivative of o(u) wrt u?\nAnswer: -16*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y. Suppose -7 = -3*t - s, 16*t - 19*t + 3*s = 9. Let b(r) = -2*r - 3. Let q(f) = 7*f + 3. Let j(x) = t*q(x) + 3*b(x). Determine p(j(k)).\nAnswer: -3*k + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -50. Let n(g) = g**2 - 7*g. Calculate the remainder when m is divided by n(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 1, y: 3, v: 1}. Give prob of sequence sy.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3.06 times 7\nAnswer: -21.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/14)\/(12512\/1564).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-24)\/(-28))\/((-3)\/(-63)). Suppose 6*y = 6 + o. Suppose 5*v = 5*r, -2*v + 14 = y*r + 2. Solve 3*t - 2*l + 0 - 3 = 0, 5*l + 17 = -r*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 27*v - 4519 = -22*v, 5*a = 3*v + 7505. What are the prime factors of a?\nAnswer: 2, 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4520 = -22*h + 192776. Is 115 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 136 + 139 - 4*o**3.\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 5*w + 1, w + 11 = 4*b - b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7859*t**4 - 1535.\nAnswer: 31436*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 - 4.15. Let d(j) = -3*j - 27. Let t be d(-7). Let h be (t\/(-34))\/((-10)\/4 + 4). Which is the third biggest value? (a) 0.1 (b) h (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2789, -5569, -8347, -11123, -13897, -16669, -19439?\nAnswer: -22207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in fifty-seven halves of a meter?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = n - 27. Let v be 4\/18 + 43\/n. Suppose r + 18 = 4*r + v*t, 3*t + 18 = 3*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) 204 (c) -0.5 (d) 2 (e) -122\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s. Determine u(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sts when three letters picked without replacement from tsststttssststsstts.\nAnswer: 45\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 + 9*v - 5. Let s be g(-7). Let x be 5\/(-2)*24\/s. Is 12 a factor of x\/((-2)\/53) - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(12) + 2 - (-4 + sqrt(75)*-3).\nAnswer: 2 + 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 3*w - 9. Let z = -109 + 289. Suppose 4*j - w*b = z, j = -0*j - 5*b + 68. Is 16 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -4. Let o = t - 1. Let q = o + -2.3. What is q rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1109145702.\nAnswer: 2, 3, 7, 26408231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0039018429 rounded to five dps?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 + -0.3. Which is the second smallest value? (a) -5 (b) h (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**6\/60 + m**5\/40 - 7*m**4\/24 + m**3 - 12*m**2. Let j(y) be the first derivative of b(y). Is j(10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o + 1. Let z be g(1). Let t be z\/18 - (-17)\/6. Is 1\/((-3)\/(t*-59)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 5.569305 nanoseconds?\nAnswer: 0.000000005569305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**3*r*w**2 + 2*j**3*r*w*x + 4*j**3*r*x - 81*j**2*w**2*x - 2*r*w**2*x + r*w*x + 43*w*x wrt w.\nAnswer: -4*j**3*r - 162*j**2*x - 4*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = 5*d - 3*q, 0*d - 2*q = -4*d + 36 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20369?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -5)*(-1 + 2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15864 - -15869. Solve 3*x = -3*i - 3, -x + 14 = -t*i - 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.2 (b) 1\/4 (c) -0.21 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 10) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {s: 11, r: 2}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*130\/(-35) - -4\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1409.\nAnswer: 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*n**3 + 0 - 263*n**2 + 99*n**3 + 263*n**2 + 3*n - 6.\nAnswer: 127*n**3 + 3*n - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85.3 - -101. Let b = x + -15. What is the third smallest value in b, 3, -0.2, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**6\/120 + 2*a**5\/15 - 7*a**4\/24 - a**3\/6 + 2*a**2. Let b be p(5). Calculate the highest common divisor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 628236.4 litres to millilitres.\nAnswer: 628236400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -0*h - 3*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 1 + -15 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 7*f**2 + 8*f + 47. Let k be z(-7). Let y(v) = -2*v**2 + 10*v - 5. Let x(w) = 5*w**2 - 19*w + 11. Determine k*y(j) - 4*x(j).\nAnswer: -2*j**2 - 14*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29.11 - -29. Let s = w - -0.21. Do s and 24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 130, -83, -11, 3, -2, -6 in descending order.\nAnswer: 130, 3, -2, -6, -11, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471 - 471 - 3*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 6*w + 757 - 750 + w.\nAnswer: -4*w + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cgyycgcc. What is prob of picking 2 y and 2 g?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(480) - sqrt(30) - sqrt(30))\/sqrt(2) - sqrt(15))\/sqrt(3))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2170 and 175?\nAnswer: 10850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r**3 - 40*r**2 + 40*r**2)*(-5*r + 3*r - 4 + 3) as z*r + h*r**4 + a + u*r**3 + n*r**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m**3 - 3*m**2 + 7*m + 21. Let i be n(-7). Let l = i + -508. Solve -4 = -4*b - l*x - 12, 5*b - 3*x + 37 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-39)\/(-26))\/(2\/4). Which is bigger: 13\/3 or h?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 29, 13, -21, -79, -167, -291?\nAnswer: -457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**15\/v**(7\/2)*(v**3)**(-29) assuming v is positive.\nAnswer: v**(-151\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2878266, -5756555, -8634842, -11513127?\nAnswer: -14391410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 10310 divided by -5155\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9883.741t to micrograms.\nAnswer: 9883741000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -71, -172, -339, -602, -991, -1536, -2267?\n\"Answer: -5*g**3 - 3*g**2 - 57*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9068*r**3 + 63*r**2 - 3*r - 3. Let h(g) = 356444945*g**3 + 2476383*g**2 - 117923*g - 117923. Give 3*h(f) - 117923*k(f).\nAnswer: 9071*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 560 and 559 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6577 + 98\nAnswer: 6675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 6, -c + 10041 = -d - 4335. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 334172 and 35321.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*c - 17*c - 27*c)*(22 - 52*c - 71 - 28 + 50*c).\nAnswer: 56*c**2 + 2156*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44.78 + -6.08. Let f = 36 - x. Let s = f - -2.3. Put 1\/2, s, -5\/2 in increasing order.\nAnswer: -5\/2, s, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/19 or -361\/2?\nAnswer: -361\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70682552?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 579626?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(-4 + (sqrt(99)*6 - sqrt(11)) + sqrt(11)).\nAnswer: -18 + 90*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2387.5 + 2387. Let w = -18 + 19. Let v be (-96)\/(-40) - (3 - w). Which is the nearest to 1? (a) v (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 13*h**2 - 3*h + 3. Determine u(2).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2190.\nAnswer: 2, 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -0.3 (b) 0.2 (c) 0.12 (d) -1\/28666\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -2*i**2 - 118*i + 11. Give c(-59).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 6, -5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzyzbezuezee. What is prob of sequence eze?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 112 divide 3490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18859 - 10251. What is the hundreds digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (32\/12 - -4)\/(1\/3). Suppose -p + u = -11*p. Let h be (0 - p)*(-22)\/(-12) + -4. Which is bigger: 9 or h?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.153 or -0.21?\nAnswer: -0.153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -28*l + 25*l. What is the fourth biggest value in -2, 0.3, l, 84\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -113120200 (base 4) to base 8\nAnswer: -273040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 3*p - 3. Let z = 11 + -6. List the prime factors of p\/z*(-5)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1238146 - -28169.\nAnswer: -1209977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (20\/10)\/(4\/58)*-24. Let j = 1183 + b. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1462 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(2\/(-3))*(4 - 2). Let j(b) = -3*b + 16. Let t be j(k). Calculate the highest common divisor of t and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1673023, 1672995, 1672967?\nAnswer: 1672939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -115*m**2\/2 + 496335*m\/2 + 10790.\nAnswer: -5*(m - 4316)*(23*m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -108709627 + 2.46?\nAnswer: -108709624.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -62*f**3*v**3 - 8*f**3*v**2 - 8*f**3*v - 105*f**3 - 10*f**2*v**3 - 11*f*v**2 + 39393*v**3 + 3*v**2 wrt v.\nAnswer: -372*f**3 - 60*f**2 + 236358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -0.5, 5 in increasing order.\nAnswer: -0.5, -0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 5 - -60547455268\nAnswer: 60547455273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 758541.3 and -25.\nAnswer: 758516.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.3 - 2.1. Let m = -132971 - -132971.80021. Let k = m + q. Round k to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -24*m + 68. Give s(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-17)*(-2 - (-2)\/(-4))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 minus 54?\nAnswer: -53.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4 - 9*m + m**2 + 5 - 6. Let h be q(9). Let c(w) be the third derivative of -w**4\/24 - w**3\/3 + 8*w**2. Determine c(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, f: 2, x: 6, h: 4}. What is prob of picking 2 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 487 = 4*c + 143. Let p = -86 + c. Solve 5*a + 8 + 2 = p for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 289, 579, 905, 1267?\n\"Answer: 18*g**2 + 236*g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a milligram in nanograms?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w - 76. Let i be z(-13). Suppose 2*x + i*t = -0 - 2, 5*t = 3*x - 5. Solve x = v - 5*d + 7, -d + 5 = -2*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68 - 2?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/23)\/o**11)**(-21\/2)\/(o**3\/(o**2*o)*o**(4\/3)\/o**(2\/5)) assuming o is positive.\nAnswer: o**(78421\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s**3 + 20*s**2 + 4*s - 22. Let c be a(10). Solve c*k - 67 = 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 - -10 - (-25 + 7 + 5 + 4)) + 40?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -1.97372.\nAnswer: 0.592116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11607 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w + 6 = -5*q, 2*w + 43*q - 38*q = -8 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 33984*z. Let b(n) = 55*n. Calculate m(b(p)).\nAnswer: 1869120*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1700?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1*2\/4)\/5. Let l = 15173\/2 - 7586. Which is the closest to -2\/3? (a) 1 (b) j (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10011221 + 2?\nAnswer: 10011223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40366922 and 2.\nAnswer: 40366922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -o**6 - 2*o**4 - 578843*o**3 - o**2 + 8800759 wrt o?\nAnswer: -120*o**3 - 48*o - 3473058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggdddgcdddc. What is prob of picking 2 d and 2 g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 66517536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/6, -0.1, 3 in decreasing order.\nAnswer: 3, 1\/6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -84 + 84.5. Put -0.2, 0.04, r in descending order.\nAnswer: r, 0.04, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*n + 193*n + 54*n = 2568 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102057746.\nAnswer: 2, 7, 211, 34549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 11*q - 1890. Calculate the highest common factor of 30 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16125 rounded to 2 dps?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*sqrt(28) + -2 + (sqrt(175) + -2 + sqrt(175) + sqrt(175) + -5)**2*-2.\nAnswer: -3250 + 432*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**0)**(8\/5)\/((i\/(i\/i**19)*i*i)\/((i\/i**(-2\/17))\/i)) assuming i is positive.\nAnswer: i**(-1639\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, -610, -2492, -6222, -12418, -21698, -34680, -51982?\nAnswer: -74222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 8*w + 85. Let z be k(-10). Solve x + 8 = z*y - 3, 0 = -3*y - 5*x + 1 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2 - 30*w - 87. Calculate q(-27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -2*v**2 + 26*v - 41. Let k be w(11). Suppose -d + 5 = k, -5*m + d + 23 = 0. What is the nearest to 3\/2 in m, 2, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29251825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -5\/8 (b) -15 (c) -6 (d) -23\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/20 - 41*b**4\/24 - 7*b**3 + 4*b**2. Let t(z) = z**2 + 29*z - 78. Let a be t(-32). What is the hundreds digit of m(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0083716137 rounded to three decimal places?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1723001 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192 and 216.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*y**4 - y**3 + 66*y**2.\nAnswer: -168*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 13*j - 2. Let k = -30 - -41. What is the least common multiple of a(k) and -54*(6\/9 - 1)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 938785499?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -2*i - 5*w + 5, -w = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 126497708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/d**(-15))\/d*d)\/d**(-1))\/(d**3\/(d\/(d**(-3)\/d))) assuming d is positive.\nAnswer: d**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -515*h + 30598 = 309*h - 9960 - 11354 for h.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45*b*i**4 - b*i**3 - 52*b*i - 75*i**6 + 270*i**2 wrt i.\nAnswer: 1080*b*i - 6*b - 9000*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 19.1, 3\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 + 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*a = -258 + 433 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 163 a factor of 402121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000080031802 rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 54830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1101 (base 4) to base 5.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 484321875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407407 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -253*b**6\/15 - b**5\/10 - 143*b**3 + 110*b + 2. What is the second derivative of k(w) wrt w?\nAnswer: -6072*w**2 - 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9566, 5, 21, -3, -4 in increasing order.\nAnswer: -9566, -4, -3, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 520 and 82000?\nAnswer: 1066000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z - 3. Let j(w) = w**2 - 13*w + 7. Let r(g) = 4*j(g) + 9*n(g). Let l(y) = -3*y**2 - y. Determine 3*l(a) + 2*r(a).\nAnswer: -a**2 + a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 26, 197, 666, 1583, 3098, 5361, 8522?\n\"Answer: 25*m**3 - m**2 - m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(1 - -1))\/(-1). Find the second derivative of -s*b**5 - 2*b**5 + 6*b + b - 2*b**5 wrt b.\nAnswer: -160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**1\/f*f)\/f*f*f)\/f*f**(-1)*f*f**(4\/5)*f**1 assuming f is positive.\nAnswer: f**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) - (-2)\/24. Let v = 1.19287 + -1.19287. Which is the third biggest value? (a) -2\/5 (b) 70 (c) v (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 0.3. Let w = -0.29 + 163.29. Let z = w + -162.9. Put z, o, 4 in decreasing order.\nAnswer: 4, o, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 195314993 to the nearest integer?\nAnswer: 580","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*k - 20905850 + 98405865, -46500015 = 3*x + 5*k. Round x to the nearest 1000000.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183960.\nAnswer: 2, 3, 5, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of i**3\/3 + 7*i**2\/2 + 6*i + 1. Let c be 3*(-2 - (-21)\/9)*-8. What is the units digit of h(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*d**3*g**2 + 68313*d**3 + d**2*g - 2*d + 1976*g**5 wrt g?\nAnswer: -200*d**3 + 39520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 2*h - 12. What is the second derivative of 6*n + 32*n**h - 35*n**3 - 18*n**3 wrt n?\nAnswer: -126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -61*a**4\/12 + 3*a**3\/2 + 2*a**2 + a - 4. Find the second derivative of k(c) wrt c.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/19, 2, 124\/480367?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 127.9 and 22061.\nAnswer: 22188.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, r: 1, v: 1, u: 2, p: 1, o: 1}. Give prob of sequence zpo.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6355 + 6505. Sort 38, 0.2, i in ascending order.\nAnswer: 0.2, 38, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*p + 130 = 61*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 5:01 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 18) + 27 + 23 + 2?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 29*b + 9925 = 31*b, -2*j + 19874 = -2*b. What are the prime factors of j?\nAnswer: 3, 7, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + z + 0*z)*(-3 + 0 + 4) + (2*z + 2 - 2)*(-1 - 2 + 2) - z + 0*z + 4*z.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 4:18 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, x: 3, d: 2, f: 3}. Give prob of sequence dff.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/180 and 27\/5?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*h + 68 = 0, h - 4*h = f - 17. Let z = 33 - f. Let m = -11 + z. Solve 0 = 5*n + 25, m*n + 2 = 3*k + 4*n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -76*m + 7. Let n(q) = 25*q - 2. Let l(w) = 14*n(w) + 4*x(w). Let r(b) = b**2. What is l(r(h))?\nAnswer: 46*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 minus -586141446.4?\nAnswer: 586141433.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066385\/3 < 355463?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10385 + 802. List the prime factors of q.\nAnswer: 3, 11, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*c - 251 + 28 = -3*s + 4, -5*c = -s + 19 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9013 + 26107. List the prime factors of t.\nAnswer: 2, 3, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of -u**4\/12 + u**3\/2 + 3*u**2\/2 - 24*u + 9. Let v(b) be the first derivative of s(b). Suppose 0 = 3*q + q + 8. What is v(q)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 - 13*x - 1. Let a be k(-13). Let w be a + 52\/28 + 2\/(-2). Put 9, -2\/5, w in ascending order.\nAnswer: -2\/5, w, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1756632.\nAnswer: 2, 3, 53, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-6)*(-240 - 36)\/(-69) - -24.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20.724 to zero dps.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/4*10\/345. What is the third smallest value in -69, o, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 + 14)*1*(4 - 3). Let l(p) = 2*p + 8. Let i be l(-6). Let u = d + i. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 2*u**3\/3 + u**2 - 2*u. Let s be l(7). Let f be s\/(-50) + (-18)\/(-5). Solve -5 = -f*j - 2 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 871*q - 555. Is o(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(315)*1)\/sqrt(5).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 24*f**2 - 2 - 721*f - 52*f + 23*f**2 as i*f**2 + x*f + j and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -154\/5?\nAnswer: -154\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -15*t**4 + 16945*t**3 - 539465*t**2 + 2121995*t + 767900 = 0.\nAnswer: -1\/3, 5, 28, 1097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7501.8 in -0.1, 15.9, -2\/17?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(119)\/(sqrt(14)\/sqrt(2))*-1 + 1.\nAnswer: -sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 172\/855 + 2\/95. Which is bigger: u or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06302 times 1810?\nAnswer: 114.0662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 3. Let k(n) = -n**3 - 13*n**2 + 11*n - 49. Let i be k(-14). Let j be (-2 - (-1 + -5)) + i - -6. Solve o = -j*y, 5*v = -0*y - y for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08380227277 - 0.5.\nAnswer: -0.58380227277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3419821 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 36 = -5*f - 13, 2*n - 3 = 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z + 5*z)*(1 - 5 - 3 - 1 - 1 + 3 + (0 + 2 + 0)*(2 - 1 + 0) - 2 + 6 - 3 + 0 + 3 + 3).\nAnswer: 18*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**4\/3 + 21*r**3\/2 - 6*r**2. Calculate the remainder when 22 is divided by c(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 + 0)*(5*p - 3*p + p)*(5*p**2 + 0*p**2 - p**2) to the form f + s*p**3 + c*p**2 + t*p and give s.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s**2 - 6*s + 2. Let u(l) = -l**2 + l - 1. Suppose 0 = 4*w - w - 30. Let j be 6\/5 - 2\/w. Calculate j*n(y) + 4*u(y).\nAnswer: -y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/(-4) - (-2)\/4 and ((-2)\/10 - (-63)\/6)*(-4)\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 622971378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + q = -2356, -5*q = 4*g + 127 - 1977. Calculate the remainder when g is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 7*m - 9*m - 2156, 2*p + 3*m - 4312 = 0. Is p a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z = -0*z - 720. Solve 8*y - 3*y + z = 5*h, -5*h = 5*y + 10 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/132)\/((760\/88)\/1)?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7*i + 3*i + 3*i)*(4*i**3 - 15*i**3 + i**3) in the form g + f*i**4 + s*i**3 + k*i**2 + h*i and give f.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 1.8 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -718 less than or equal to -628?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11 - -22) + (-31 - -16) - -9) + 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 38\/253 or 0?\nAnswer: 38\/253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4996 + 4993. Sort -0.008, -2\/7, o, 2\/9 in increasing order.\nAnswer: o, -2\/7, -0.008, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 14*q**5 + 110044*q**4 + 1679772*q**3 + 7390928*q**2 + 7358806*q + 1537620 = 0.\nAnswer: -7845, -7, -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 r when two letters picked without replacement from xgrjj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 12919110 to the nearest ten thousand.\nAnswer: 12920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43 + -2?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sdsk when four letters picked without replacement from kdkddllsldsllklsd?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 8*c**2 + 7*c - 8. Let z be p(6). Suppose 0 = 30*a - 3474 + 684. Let q = z + a. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1921 + -1172. Suppose -u - 582 = -11*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from axjdk. What is prob of picking 1 x, 1 k, 1 a, and 1 d?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**4 + 29280*x**3 - 64298880*x**2 + 62755706880*x - 22968588718080 = 0 for x.\nAnswer: 1464","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 116659538*-2.\nAnswer: -233319076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/49001568 and 111\/212128?\nAnswer: 49001568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5 = -1309. Sort w, -4, -1\/4 in ascending order.\nAnswer: -4, -1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 9*s + 4 = 0. Suppose 0 = -0*m + s*m + 342. Is (m + 3 + -2)\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*f + 85 - 40 - 45 in the form g*f + h and give g.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -700002*b**2 - 3*b + 2. Let l be (-68)\/14 + (-3)\/21 - -3. Let a be q(l). Round a to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-128)\/(-12) + 2\/6*-2. Differentiate 8 - 10*v**4 - c - 8 - 3*v**4 with respect to v.\nAnswer: -52*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ed - -7?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**31)\/(i*i**(1\/7)*i))\/((i**25*i*i)\/(i**15\/i)) assuming i is positive.\nAnswer: i**(-316\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -35*b**3 + 4*b**2 + b - 1. Let f be o(-3). Suppose 102 - f = -7*x. Let i = x + -59. List the prime factors of i.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -48.97. What is the smallest value in 3, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, -65, -695, -5, -3, 1 in descending order.\nAnswer: 1, -3, -5, -24, -65, -695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 + 145\/11. Let f = 0.02 - -1.98. Let x = -909 - -5453\/6. Which is the second smallest value? (a) f (b) x (c) s (d) -2\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12648 and 651.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 28?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-12))\/t**(-2\/5))**(1\/35) assuming t is positive.\nAnswer: t**(-53\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 9*v + 508 - 396 - 271. List the prime factors of g(32).\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/35330 (b) -0.4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (618\/(-1030)*(-10)\/(-12))\/(119\/42)?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5990943257?\nAnswer: 13, 19, 24254831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y + 3*y - 2*y)*((0 + 0 - 2)*(-y + 4*y - 4*y) + 4*y - 4*y - 4*y - 4 + 3 + y - 1) in the form k + z*y + r*y**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-13)*z*z**14)\/(z\/z**(-2\/13)*z*z\/z**10*z) assuming z is positive.\nAnswer: z**(102\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - 31*l - 1 + 7*l)*((0*l**2 - 4*l**2 + 2*l**2)*(-4 + 2 + 3) + (-2*l**2 - 3*l + 3*l)*(4 - 3 - 4)).\nAnswer: -72*l**3 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -115 + 30. Suppose -n*b + 9 = -36. Solve -b*q = -4*q + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -7*y**6\/3 + 2*y**5\/5 + 19*y**3 - 1. Find the third derivative of x(r) wrt r.\nAnswer: -840*r**2 + 48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 1:04 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5288 = -4*c, -c = -5*c + 16. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110230231 (base 4) to base 13\nAnswer: -2c788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 41929097 and 175.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54789?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47192163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -715*o + 697*o + 504. What is the least common multiple of 216 and o?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121000200210 (base 3) to base 15\nAnswer: -636e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 3798.\nAnswer: 15192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/1052575 and 56\/65.\nAnswer: 13683475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -848.91 - 112.29. Let m = 961 + z. Sort m, -2, 1\/3, -30\/11 in ascending order.\nAnswer: -30\/11, -2, m, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-5))\/r**4)\/(r*r**1)**(-12\/11)*((r\/r**(2\/7))**(-33))**(2\/83) assuming r is positive.\nAnswer: r**(23096\/6391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**6\/360 - 3*f**5\/40 + f**4\/24 - f**3\/3 + 2. Let z(m) be the third derivative of d(m). What is the units digit of z(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*v - 2070 = 0, -3*j + j + 4*v = -1364. Suppose 0 = -3*t - 94 + j. Calculate the greatest common divisor of t and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/15 or -1112?\nAnswer: -1112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002313194 rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 2:23 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 20310431 (base 5) to base 10\nAnswer: 166366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 121, -42, -2, -9 in ascending order.\nAnswer: -42, -9, -2, 4, 121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 742872334466 less than 1.4?\nAnswer: -742872334464.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -510, -508, -506?\nAnswer: -504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 15\/360*((-728)\/42)\/26\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + l - 4 = -4*v, v + 4*l + 8 = 0. Let t = -2 + v. Solve t*p = 3*p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3\/8 of a kilometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 123 - 1339 = 0. Let h = a + -150. What is the highest common divisor of h and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hfz when three letters picked without replacement from zhhfhzhff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -108 - (-5 - 96) - 51?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -2, -4 in decreasing order.\nAnswer: 5, 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*5*(sqrt(133) + sqrt(133) + -3*sqrt(133))*5)\/(((sqrt(252)*-2 - sqrt(252))\/sqrt(12))\/(-2*sqrt(192) - sqrt(192))).\nAnswer: 800*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 10.5. Let y = o + -1.5000055. What is y rounded to six dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**2 - 13*s + 11. Let p(t) = -2*t**2 - 16*t + 13. What is -4*p(r) + 5*w(r)?\nAnswer: -7*r**2 - r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112396 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 5705?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/((-92)\/(-44) + -2). What is the greatest common factor of j and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the second derivative of -b**3\/6 - b**2 + 2*b. Let o be y(0). Let i be (-1)\/(-2)*(o + 4). Solve -g = -i - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 times -0.06246?\nAnswer: -3.24792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 25125 and 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 10:45 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q + q**4 + q - 14*q**4 + 7*q**2 - 7*q**2 + (0*q**3 - q**3 + 4*q**3)*(-3*q - q + 3*q).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 57746 = 3*c, 2*s = 39*c - 36*c + 23111. List the prime factors of s.\nAnswer: 11551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6.3 or 6397?\nAnswer: 6397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4560 divided by -76.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**8\/5040 - 7*f**5\/12 + 47*f**2. Let m(j) be the third derivative of t(j). Let u(c) = 10*c. What is m(u(h))?\nAnswer: 400*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 267, 256, 231, 186, 115?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/137922 and -59\/16.\nAnswer: 1103376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from edmwfkk. Give prob of sequence fmd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26748)\/7560 + (-96)\/224 + 4\/1?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 5. Suppose 3*q = -2*q + 20. Let s be p(q). Solve 4*a - 3*y + 17 = 2*y, -s = 3*a - 3*y for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 2. Let w = 14 - u. What is the highest common factor of 13 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4310*a**3 + 4295*a**3 - 12890*a**3 + 4303*a**3.\nAnswer: 18*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(187) - 3*(-4*sqrt(187) + sqrt(187)))\/((sqrt(88)*-4)\/sqrt(8)))**2)*-4.\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/2639 or 0?\nAnswer: -10\/2639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 289 + -268 - ((-4 - -1 - 3) + -12)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6*15*9\/45*-28*8\/288\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuuu when four letters picked without replacement from {u: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (115 - 115 + 198*o)*(69 - 37 - 474) in the form z + b*o and give b.\nAnswer: -87516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 3 and 3727\/919 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 6:25 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 - -0.99. Let v = f - -4. Sort 0, v, 1 in decreasing order.\nAnswer: v, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 2*c**7\/105 - 2*c**6\/15 + c**5\/3 - c**4\/3 - c**2 + 2. Let b(v) be the second derivative of q(v). Factor b(n).\nAnswer: 4*n*(n - 2)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -35. Calculate the remainder when (-536)\/(-12)*(111 - 105) is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (353 - 410) + 5 + 87.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56286785*q**3 - 281662*q**2 + 2*q - 117 wrt q?\nAnswer: 337720710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.95 - -3. Suppose -45 = 24*v - 19*v. Let t be (2\/4)\/(v\/(-54)). Which is the nearest to q? (a) 2\/11 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -71*l**3 - 3*l**2 - 4*l + 7. Let b be g(2). Let o = b + 619. What is the remainder when 61 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -z**5\/4 + 5*z**4\/6 + 35*z**3\/2 + 45*z**2 - 87*z - 1. Factor v(g).\nAnswer: -5*(g - 6)*(g + 1)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12 - -399647?\nAnswer: 399635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(4\/4) - (9 - 5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -3. Let s = p - 14.007. Round s to two dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by -32.\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 33*k**2 + 3*k. Let d be v(1). Calculate the greatest common divisor of 4 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j - 3. Let t be u(5). Suppose t*q - 5*q = -6. Solve q*g + 2 = -4*a, -5*a - 2 = -7 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39784*b = 1121068 - 6094068 for b.\nAnswer: -125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 + 68 - 42 = -65*t + 137 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 314.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 34855 - 0.018.\nAnswer: 34854.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*k**2 + 57*k**2 - 31*k**2 as u*k**2 + w*k + n and give u.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**4\/4 + v**3\/3 - v**2\/2 - v + 7. Factor m(u).\nAnswer: (u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (1 + -4))*(7 - 6). Suppose -5*t = 5*z - 160, z - t + d*t - 47 = 0. Calculate the highest common divisor of z and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -82603 - -79149.1. Round j to the nearest 10.\nAnswer: -3450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 831 at least as big as -425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + b2?\nAnswer: b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-420)\/100*((-39)\/(-9) + -5).\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -379*w - 1061 + 350 - 1184 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (92*c**3 - 92*c**3 + 65*c**4)*(54 + 33 - 12) as g*c**4 + o*c**2 + a*c + z + x*c**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1930 - 19277\/10. What is the common denominator of c and 2585\/(-693) - (-2)\/7?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 1. Let v be d(-1). Let g = -10671 + 10673. Sort g, v, 38.\nAnswer: v, g, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -327 (base 9) in base 3?\nAnswer: -100221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 3*z, 0 = -5*c + 2*z + 25. Let p(o) = o**2 + 3*o - 3. Let k be p(-7). Let h = 37 - k. Solve r = 4*s - h, c*r - r - 20 = -s for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 72, 2\/9, -32, 1, -2, 5?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 22*j = 19*j - 19, 2*j = -4*o + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -2*k - 2*n - 44, k = 13*k + 762*n - 764*n + 166 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 60.97059 years?\nAnswer: 0.6097059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 677*y + 34 - 34 + y to the form w + q*y and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*i + 6 - 59, 0 = 2*i + 3*x - 16. Suppose 0 = 6*m - 7*m - 5*d + 10, d - i = -2*m. What is the least common multiple of m and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2957198 divided by 1121\nAnswer: -2638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*y = 25*y + 282 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence thu when three letters picked without replacement from euttihteuetietti?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*h**5 + 521354*h**4 + 11323939010*h**3 - 64191291850*h**2 - 120815332176*h + 105717673656 = 0. Calculate h.\nAnswer: -43449, -2, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(162) + 4)**2 + 4).\nAnswer: 72*sqrt(2) + 182","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3523 - 1372. Let k be (-2)\/(-3)*-1*i\/(-6). Suppose -71 + k = g. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293331, -293332, -293333, -293334?\nAnswer: -293335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**2 + 220*v - 3091. Give b(13).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -856*c*v**2 - 2*v**2 - 1149*v wrt c?\nAnswer: -856*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 + 1 + -77 + (-159 - -211).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + -5 + -438 + 425 - (-16 - 1)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -849147, -849052, -848895, -848676?\n\"Answer: 31*g**2 + 2*g - 849180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3501523 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -12601000 to the nearest one hundred thousand.\nAnswer: -12600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.9 - 0.9. Let p be (-14 - -23)\/9 - (6\/2 - 3). Put -4\/3, i, p in decreasing order.\nAnswer: i, p, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22.5 in 1\/4, 1, 150, -4\/7, 3\/14, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*f**4 - 70\/9*f**2 + 0 - 50\/9*f - 22\/9*f**3.\nAnswer: -2*f*(f + 1)*(f + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31\/4 or 71951?\nAnswer: 71951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-14))\/((-720)\/(-3360)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m - 4*m + 0*m. Let i(x) = -7*x + 85. Let d(l) = -10*l + 119. Let j(o) = -5*d(o) + 7*i(o). Determine -6*h(f) - 10*j(f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhnnqeenehnhtnbqqe. What is prob of picking 1 e, 1 b, and 2 n?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.449 minus 0.4?\nAnswer: -24.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yycyyyyyyycyyyyyyyy. What is prob of picking 2 y?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/6*6 + -4199. Let v = s - -16867\/4. Find the common denominator of 13\/16 and v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**2 - 4*j - 1. Let a(k) = 5*k**2 + 5*k + 1. What is 2*a(o) + 3*q(o)?\nAnswer: -2*o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 80\/5*-2. Let o = -42 - x. What is the tens digit of ((-58)\/(-4))\/(o\/(-14))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/79 (b) -0.02 (c) 66 (d) 0.71\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4851*x. Let m(a) = 3*a - 6. Calculate m(p(g)).\nAnswer: -14553*g - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 t, and 1 n when three letters picked without replacement from {t: 1, c: 3, g: 3, n: 1, h: 1, w: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i + 43. What is k(13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 6*q - 68. Let l be f(18). Let w(r) = l*r - 75*r + 49*r + 51*r. Let n(k) = -11*k. Let g(i) = 2*i + 7. Let s be g(14). Determine s*n(d) + 6*w(d).\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 4*t - 0*t - 20, -3*a + 5*t - 35 = 0. Let m = a - -44. Calculate the greatest common divisor of m and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -94\/15 and -121\/930?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.43416ml to litres.\nAnswer: 0.08243416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 q when three letters picked without replacement from qccqccqqqcccqcqqcqq?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.5 + -11. Let u = -16.500028 - m. Round u to six dps.\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000112618 rounded to five dps?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36666 + -93504. Round b to the nearest one thousand.\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339119 is divided by 108?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 68475706 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1349*i**3*t*z**3 + 925*i**2*t*z**3 + i**2*t - i*t*z**3 wrt i?\nAnswer: -8094*t*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 44 times 4558892\nAnswer: 200591248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/3 + -1 + -2. Let z(i) = i**3 + 3*i - 4. Let y be z(2). Let c be (22\/77)\/(y\/(-14))*35. Sort c, x, 4, -4.\nAnswer: c, -4, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + 154581*x**3 + 5564052*x**2 + 66765168*x + 267053760.\nAnswer: (x + 12)**3*(x + 154545)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-4))\/(-10)*2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 113 and 3616.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 202200373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 take away 77039.8?\nAnswer: -77039.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u + 7299 = 7398 for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13230345 - 5?\nAnswer: -13230354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 + 1380*u**3.\nAnswer: 4*u**3*(u + 345)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*l**2*u*w**3 - 25540*l**2*u + 327*l**2*w**3 - 2*l**2*w + 3*l - 7*w**3 wrt u.\nAnswer: -15*l**2*w**3 - 25540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2444 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -27284969\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/53 (b) -0.6 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 9 = 3*b. Calculate the remainder when b*(1 - 9\/(-6)) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0628 and 0.075.\nAnswer: 0.1378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10107132 or 10107149?\nAnswer: 10107149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6898 + -531189\/77. Let q = -3\/11 - i. Which is the nearest to -1? (a) 4\/7 (b) q (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.007 times 1489?\nAnswer: -10.423","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 168188.\nAnswer: 2, 19, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 837220.\nAnswer: 2, 5, 41, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000027404 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 651 (base 8) to base 15\nAnswer: 1d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 2*f + 5*f)*(-f**4 - 4*f + 4*f + (-f**2 + f**2 + f**3)*(-5*f + 0*f + 3*f)) + (24*f - 24*f + 8*f**2)*(0*f**3 + f**3 + f**3).\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 50*r + 245 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 61354.4 times 0.2?\nAnswer: 12270.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1664434.17ns in weeks?\nAnswer: 0.000000002752040625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*z + 4*y + 10, 3*y + 14 = 2*z + 4 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 769879?\nAnswer: 11, 17, 23, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 65836951 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-4928)\/(-252) + -19)\/((-2)\/(-3))\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*y**3 + 19*y**3 + 9*y**3 - 21016111 + 21016020.\nAnswer: y**3 - 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -3*u + 117. Let b(g) = -43*g**2 + u*g**2 + g + g. Let p(n) = 35*n + 2*n**2 - 34*n - 3*n**2. Calculate b(c) - 2*p(c).\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 11*b - 19. Let v be m(-10). Is v equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585560.4 meters in kilometers?\nAnswer: 585.5604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6864050 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.16374 + -12?\nAnswer: -18.16374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11*1\/25 + 15*66\/2475.\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 398555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**3 - m + 3. Let z be c(0). Let l(h) = -13*h**2 + 8*h**2 - 7*h + 10*h**2 + h**z - 4. Give l(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.45 - 2.5. Let g = -0.0499936 - d. Round g to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*k**2 + 5*k**2 - 2*k**2 - 6*k**2 + 1 to u + b*k**2 + o*k and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 374324089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 6. Suppose 2*l = -10*l - 3252. Let c = l + 277. Give m(c).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/5 (b) -6 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156)\/sqrt(4)*-5*5*5)\/((sqrt(24) + (sqrt(96) + sqrt(96) + sqrt(96)*-2 + sqrt(96))\/sqrt(4))\/(sqrt(8) - (-2*sqrt(200) + sqrt(8)) - sqrt(8))).\nAnswer: -1125*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 131\/144 and -187\/630.\nAnswer: 5040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 3*p + 3*p)*(28 + 6*p**2 - 28 - 2*p) in the form w + y*p**3 + k*p**2 + g*p and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -1. Let i(q) = -55*q**2 + 75. Let h(w) = -13*w**2 + 19. Let d(m) = -15*h(m) + 4*i(m). Calculate d(r) + 15*s(r).\nAnswer: -25*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 159*a**5 + 145*a**2.\nAnswer: 9540*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g + 13 + 242 = 0 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 176*y - 21. Let d(t) = 88*t - 9. What is 7*d(p) - 3*m(p)?\nAnswer: 88*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -27*i**2 - 138*i - 497. Give g(-4).\nAnswer: -377","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddwdwdwdd. Give prob of picking 1 w and 1 d.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772 at least as big as 1769?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 345904 and 65?\nAnswer: 1729520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - 165925\/(-90))*3. Let y = 2330 - -3186. Let t = y - b. Calculate the common denominator of -22\/7 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.0236, 0.1, 53, -1.51?\nAnswer: -1.51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-21)\/((-2268)\/(-40))*(-12)\/10\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16430526 by 63.\nAnswer: -260802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1403799 and 171195.\nAnswer: 7018995","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of w**7\/1890 + w**6\/405 - 13*w**3 - 2*w - 31. Let m(u) be the second derivative of d(u). Find p, given that m(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**6\/15 + o**4\/6 + 7*o - 5. Let c(f) be the first derivative of s(f). What is the third derivative of c(p) wrt p?\nAnswer: 48*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108 divided by -36\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 1:14 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 81 and 194?\nAnswer: 15714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26290 and 2?\nAnswer: -52580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -184 * -56\nAnswer: 10304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -d + 5*t, -16697 + 16670 = -14*t + 5*t for d.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2241 + -4715\/2. Let x = s + 116. Let o = 0.51 - 0.01. Which is the third smallest value? (a) o (b) x (c) -3 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 3*u - 38 = 8, -3*u = -2*w + 86. Suppose -2*v - 17 = d - w, 0 = 5*v - 25. Calculate the greatest common divisor of 26 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6875 = -28*s + 23*s - 5*n, 4*s = 4*n + 5548. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6757 + -182438\/27. Which is the fifth biggest value? (a) 2\/17 (b) 2 (c) 3\/4 (d) v (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + k + 94, 57 = 2*h - 2*k + 1. Is h a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.54 + 2.54. Let q = 4 - -1. Which is the nearest to -13? (a) q (b) u (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25704)\/1377*(-9)\/8?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189699 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(5\/3)\/g**(-31) assuming g is positive.\nAnswer: g**(98\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/195734 and 23\/42098.\nAnswer: 18986198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5*z + 8. Let k(l) = -11*l + 17. Let i(c) = 13*h(c) - 6*k(c). Let q be i(0). Solve 2*d = -q*g - 6, -33 = -2*d - 2*d + 5*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 410*(73\/(-2920))\/((-1)\/4).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 64?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z**(-1\/6)))\/(z\/z**(-12)*z*z))\/(z**(-13\/4)*z*z*(z*z*z\/z**(-2\/31))\/z*z) assuming z is positive.\nAnswer: z**(-6193\/372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370*n + 297*n - 17*n**3 + 1901*n**3 + 290*n - 957*n.\nAnswer: 1884*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 25537 divided by 1433\nAnswer: 25537\/1433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3272 - -3358. Solve 0 = -f + t + x - 90, -4*t + 16 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 3*x - 129 = 0, 5*x - 211 = -5*k + 74. Let p = -44216 - -44240. What is the lowest common multiple of p and k?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 257, 511, 763, 1013?\nAnswer: 1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from nkkwttkuwkkkk?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 + 6*r + 3. Let g be j(-4). Let q = 21 - g. Suppose 0 = -3*k + 28 - q. Solve o + 15 = k*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*d**2 + 5*d**2 - 5*d**2 + 71 + (-d + d - 3*d)*(-d + d + 2*d)*(-1 - 1 + 0).\nAnswer: 9*d**2 + 71","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 5062363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 11 = 3. Let o(u) = -8*u**2 + 8*u**2 + 3 + 17*u**2 - 17*u. Let v(q) = 6*q**2 - 6*q + 1. What is c*o(g) + 11*v(g)?\nAnswer: -2*g**2 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 10*s. Let t(m) = -5548*m**2 + 2*m. Calculate b(t(f)).\nAnswer: -55480*f**2 + 20*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 6254, 8084, 9906, 11726, 13550, 15384, 17234?\n\"Answer: r**3 - 10*r**2 + 1853*r + 4410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -22*k - 3. Let t(i) = 21*i + 2. Let o(h) = -3*l(h) - 4*t(h). Let s(u) = -u**2. Determine s(o(n)).\nAnswer: -324*n**2 + 36*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 47*y + 4. Let r(k) = -264*k - 15319. Let w be r(-58). Let d(l) = 93*l + 7. Give w*s(c) + 4*d(c).\nAnswer: 43*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -45 - (28 + (-3 - 12)) - -12?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 r when two letters picked without replacement from vvvxrxuvrcee.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 2\/3, 321?\nAnswer: 321","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -884.0799 - -884. What is w rounded to 3 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 + -3)*4\/(-4). Let t be (6 - 6)*(q + -1). Let r = 59 - 57. Solve -2*w + t*i = -r*i - 16, 2*w = -i + 7 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 29879.\nAnswer: 29879","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 26 + -16. Let s = -6 + g. Solve -s = v - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134 divided by 1?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*f**3 + 28*f**3 - 19*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3)*693\/14. Suppose -s - 31 + g = 0. Solve -6*r + 2*r - s*f = 4, -2*r + 3*f = 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1265742 divided by -9?\nAnswer: 140638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7*h - 40. Let a be f(-6). Suppose -4 = 2*w, -3*l + a*l + 1 = 2*w. Sort l, 1, 3.\nAnswer: 1, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5230639811 + -5230639527.99999692. Let t = 283 - v. Round t to 7 decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, e: 5, d: 1}. Give prob of picking 3 h.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - 243 + 247 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.5 (c) -61.21 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1071.51 + 1067. Let w = y - -0.01. What is w rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + (sqrt(95) - sqrt(95)*-2))*3)\/(sqrt(5) - (sqrt(5) + (sqrt(50)*2)\/sqrt(10))).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 + 476 = -154*w. Sort -17, -3, -1, 5, w in descending order.\nAnswer: 5, -1, -3, w, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((0 + -2 - -4) + -6)*-1. Suppose 4*l = 2*t + 4, -2*t - 2*l - 2*l - g = 0. Let v be (-3)\/t - (-13)\/26. Solve 0 = -x + v*w + 4, 3*w - 1 = 5*x - 7 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2940)\/(-224))\/35*224\/(-1470)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2*d = 192, 739*d - 372*d - 360*d - 111 = -2*l for l.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {v: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8012, -18669, -29326, -39983, -50640?\n\"Answer: -10657*d + 2645","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7358252.65999906 + -7358311.66. Let j = d + 59. Round j to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-9 + 7 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from syooosyosyysyoy. Give prob of sequence sys.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wy when two letters picked without replacement from ooxxxwooywwxxoxxyoxo?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v - 48*v + 47322 = 0. Let q = 2602 + v. What is q rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 193192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/6*i**2 + 1\/3*i + 0 - 1\/6*i**3 = 0. Calculate i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*k - 56, k = -5*w - 0*k + 64. Suppose -w*q + 11796 = 4380. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1535 + -775. Suppose 2*g + 2*g = -88. What is the remainder when 55 is divided by (-4)\/g + b\/55?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -6 (c) 0.282 (d) 0.5 (e) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -208 + 206. Let f be -1 + (-7)\/(-112) - x. Put -2, -3, f, -5 in increasing order.\nAnswer: -5, -3, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2 + r - 2*r**3 + 3*r**2 - r + r. Let b be v(2). Let o = 14 - 12. Sort 4, b, o in decreasing order.\nAnswer: 4, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3155 + -3154.98247. Round f to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 29, 65, 115, 179, 257?\nAnswer: 349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90222555?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 2216 + 484. Suppose -3*x = 3*r - p, 0 = -3*x + r + 4*r + 332. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**2 - 14*x - 4. Let q(i) = 2*i**2 - i + 2. Determine k(j) + 2*q(j).\nAnswer: j**2 - 16*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/8)\/(5\/20). Let x(o) be the second derivative of z*o + 0 + 0*o**4 - 1\/15*o**6 - 1\/42*o**7 + 0*o**2 - 1\/20*o**5 + 0*o**3. Factor x(d).\nAnswer: -d**3*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9336 - 9330. Let j(x) be the third derivative of 3\/2*x**3 - 13\/120*x**q + 0*x + 16*x**2 + 0 + 0*x**4 + 0*x**5. Find the first derivative of j(b) wrt b.\nAnswer: -39*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(175) - sqrt(175)*-4)*-6 - sqrt(175))**2 + sqrt(175) - (((sqrt(7) - (-2 + sqrt(7))) + 5)**2 + sqrt(7) + sqrt(63)\/sqrt(36)).\nAnswer: 7*sqrt(7)\/2 + 168126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 428 and ((-2340)\/(-1404))\/(13\/(-18) + -1 + 2).\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -736.8 - -736. Put -27, m, 1 in descending order.\nAnswer: 1, m, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23509 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 94574991*o**3*s**3*v**3 + 2*o**3*v**3 - 2*o**2*v - o*s**3*v**3 - s**3*v**2 + 22324*s**2*v + 2*s*v**3 + 6 wrt o.\nAnswer: 567449946*s**3*v**3 + 12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-123)\/(-6))\/(1\/2). Suppose -5*s + 39 = -i. Calculate the smallest common multiple of s and 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66024123911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -22 - -72. Suppose -170 = -3*b + z + 3*z, -b + 60 = 2*z. Let x = c + b. Calculate the highest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 + 26*j + 16. Let d be q(12). Let r = 101 + d. Which is the third smallest value? (a) -11 (b) 4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 7 = 5*l - 2*r, 3*r - 15 = 0. Solve -3*y - 7 = -2*j, -l*j = 3*y + j - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2840733432 to the power of 1\/3, to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 98208062*x**2 + 84094580*x?\nAnswer: 196416124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 6:47 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 8 - 10 - (-3 - 1). Which is the smallest value? (a) 2\/5 (b) w (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llq when three letters picked without replacement from {q: 2, l: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/(-1)*-1 - -74 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 11 and -21996.\nAnswer: -21985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 30400 to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -120 + 121. Put -2\/15, p, 56 in ascending order.\nAnswer: -2\/15, p, 56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 111044324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 21, 42, 59, 72?\n\"Answer: -2*g**2 + 27*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 626446 (base 12) to base 14\nAnswer: 2c3302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8933.\nAnswer: 8933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -4812, -9520, -17380, -28398, -42580, -59932, -80460?\n\"Answer: -i**3 - 1570*i**2 + 9*i - 3250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 4*b = 11*x - 6, -b = x + 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**5\/9 + 3*l**4 + 25*l**3\/3 + 73*l**2\/9 + 8*l\/3 = 0.\nAnswer: -24, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/32 in 2\/5, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -17*h. Let b(u) = 9*u**2. Calculate b(z(w)).\nAnswer: 2601*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 694?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-6)\/10 - ((-19791)\/15)\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44701*c*d**2 + c*d + 6*d**2 + d - 16620 wrt d?\nAnswer: -89402*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ufvvvvvffugguvf. What is prob of sequence vg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*u + 34 = -92*u. Solve 0 = u*n - 18*n + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m + 14. Let l be 46\/10 + ((-36)\/(-15))\/6. Suppose -4*y = -3*x - 9 - 26, 8 = -2*x - l*y. What is the units digit of t(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 692519 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -2413210?\nAnswer: 2413200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -122215.\nAnswer: 1\/122215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4, 45, 128, 265, 468, 749, 1120, 1593?\n\"Answer: 2*i**3 + 9*i**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 233\/6565?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f + 19*c = -121, 2*c = -296 + 282 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-36)\/378)\/((-4)\/6)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1398*2035.\nAnswer: -2844930","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3639 is divided by 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = -4*x - 20, 2*x - x = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s + 4. Let x be i(-4). What is the common denominator of ((2 - 2)\/1)\/1 and 100\/(-6)*x\/16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, 2\/4447, -2147.9?\nAnswer: -2147.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5490329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 + 17 - 0)*(-130)\/(-30). Let x = z + -14. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 p when two letters picked without replacement from {p: 3, u: 10, r: 1, a: 2, h: 3}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48526\/189 - 1811\/7. Find the common denominator of -85\/36 and h.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 378284381*a**2*x**2 - 389658257*a**2 with respect to x.\nAnswer: 756568762*a**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10208 (base 10) to base 11.\nAnswer: 7740","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85*j - 34 + 46 + 147 with respect to j.\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 1392*k - 937. Is l(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/(-7) + 3)*7\/18*0. Suppose -12 = 2*c - 5*d + 2, 4*c = 3*d - 28. Sort a, -2, -5, c in increasing order.\nAnswer: c, -5, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.1? (a) -0.3 (b) -6 (c) -0.316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3188039 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2875 divided by -11874\nAnswer: -2875\/11874","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*6*(sqrt(2448) + -2))**2*5.\nAnswer: -216000*sqrt(17) + 11034000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 6*b - 6. Let g be j(5). Let o(i) = -i**3 - 4*i**2 - 2*i - 3. Let a be o(-3). Let m = g - a. Solve -m*n = -10*n - 25 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 0. Suppose 5*b = -m*t - 21, 3*t = -2*t - 2*b - 39. What is the remainder when (114\/t)\/((-6)\/9) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 1. Let j(b) be the first derivative of 3*b**4\/2 - 2*b + 740. Calculate 4*a(y) + 2*j(y).\nAnswer: 16*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 2 - 2)*(-22*x**4 + 61 - 61) - 2*x**5 + 0*x**5 + 3*x**5 - 6*x**5 - 13*x**5 + 0*x**5.\nAnswer: -84*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/495*15)\/(((-352)\/(-143))\/(-8)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350939 to the power of 1\/4, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*h + 9*h - 2*h.\nAnswer: -45*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (178\/10 - -3)\/(3\/(135\/6)) is divided by (2*2)\/(2\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/520)\/(96\/(-1200)). Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((l**20*l)\/(l**(1\/14)*l))**(-12\/5))**(-11))**(16\/5) assuming l is positive.\nAnswer: l**(294624\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122632 is divided by 112965.\nAnswer: 9667","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1\/4 (b) 40\/21 (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 137*q**7\/21 + 4*q**3\/3 - 5*q**2 - 117*q - 2. What is the second derivative of i(m) wrt m?\nAnswer: 5480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-51)\/(-34)*(-1)\/3. Let y = 54\/7 + -176\/21. Which is the closest to -1\/2? (a) -2 (b) y (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 17107.536 months?\nAnswer: 1425.628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a millennium in months?\nAnswer: 50400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = -f - 35. Let c be (-72)\/2*(-4)\/(-6). Let u = c - f. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16432 and 948?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*k + 12, 0 = 4*k - 9*k + w + 4. Let p(u) = k*u + 0*u + 6*u**2. Let s(j) = 2*j. Determine p(s(g)).\nAnswer: 24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 0.01, 5, 2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 22. Let j be g\/((-16)\/(-44))*49674. Let b = j + 183207. Round b to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/3 + 2158*y**2\/3 - 17392*y\/3.\nAnswer: 2*y*(y - 8)*(y + 1087)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54337?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= -5\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.18 and -953.6.\nAnswer: -171.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19733076660 - -19733077019.99998798. Let t = -360 + j. What is t rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3)\/(z\/(z\/z**(-6))))\/(z**1)**(-12))**(2\/161) assuming z is positive.\nAnswer: z**(30\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*h**5 + 2236*h**4 + 5064*h**3 - 2368*h**2 - 5224*h + 132 = 0. What is h?\nAnswer: -11, -3, -1, 1\/40, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -23312 - 27?\nAnswer: -23339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 12. Suppose -l*k - 2 = -k. Let m = 2 + k. Solve -2*g = -m*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/5 (b) -4\/31 (c) -0.021\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 35, 150, 429, 926, 1695?\nAnswer: 2790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 + -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 + -1. Let g = 28 - w. Let a = g + -69. Solve 0 = a*o + 4 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188745327 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 (base 8) in base 12?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41828, 41823, 41818?\n\"Answer: -5*o + 41833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 5. Let o = -69 - -63.2. Let y = o - i. What is y rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, 4, 332, 2, -9, 5.\nAnswer: -9, 0, 2, 4, 5, 10, 332","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -426515 (base 9) in base 16?\nAnswer: -3e09f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -194884? (a) 1 (b) -1\/3 (c) -2\/13 (d) 0.046 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p + 4. Let c = -8 + 13. Suppose -c*s + 5 = -2*a, -2*s = -3*a + 1 - 3. What is the units digit of y(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-25))**4\/(v**(-11))**(-7\/4) assuming v is positive.\nAnswer: v**(-461\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m - 1. Let f be y(4). Let j = -4 + f. Suppose -j*r + 3*w - 4*w = -10, -4*r + 4*w = -24. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(84\/(-60)) - -1) + 24\/(-35)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(1\/14))**(-21) assuming o is positive.\nAnswer: o**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1676 = -4*s - 0*s, -429 = -s + 4*g. List the prime factors of s.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 670049 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 62764 * 0.4.\nAnswer: 25105.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1471 - 992. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-74 + 3143*s - 1558*s - 1591*s)*(-4*s + 4*s - s**3) to a + g*s**4 + v*s**3 + i*s + u*s**2 and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2778 - (0\/(-3) + 1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*537.\nAnswer: 268.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 147 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 + 24. List the prime factors of b\/(3*6\/45).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*j + 9*j = 801 + 5. Let n be (-6)\/10 - (-4571)\/35. What is the greatest common divisor of j and n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - ((-13 - -15) + -6) - (-1 - 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 241 a factor of 2775305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -58261 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 15 - 3 = 0. Let w(m) = m**2 - 9*m + 7. What is w(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) + sqrt(152)*-1)\/(sqrt(98)*4).\nAnswer: -sqrt(19)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.71369*4\nAnswer: -2.85476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(266)\/(-1*sqrt(7)*2))\/(sqrt(180)\/(sqrt(10) + 1*sqrt(10))).\nAnswer: -sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -119231837*g**2 - 75328373*g?\nAnswer: -238463674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15668 divided by -3917?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 21 = u - 5*u, 4*u + 18 = 2*n. Let o(d) = 3*d - 5 + 6 + 1 - d + d**3 + 6*d**2. Does 7 divide o(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/9 of a day?\nAnswer: 19200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1665955.\nAnswer: 5, 67, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 6, 4.\nAnswer: -4, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 10*c - 8. Let p = -37 + 70. Calculate the smallest common multiple of (-2)\/(-7) - p\/(-7) and l(8).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 38*s**2 + 2*s. Let o(f) = -26 + 26 + 2*f. Give o(z(b)).\nAnswer: 76*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34904, -34899, -34892, -34883, -34872, -34859, -34844?\nAnswer: -34827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 153493 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 2*x**7\/21 + x**3\/6 + 21*x**2. Differentiate z(c) wrt c.\nAnswer: 80*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 d when two letters picked without replacement from devsi?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**3 + 3*c**3 - 3*c**3 + (4*c**2 - 3*c + 3*c)*(2*c - 1 + 1) + 3*c**3 - 4*c**3 + 3*c**3.\nAnswer: 11*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -66223\/117 <= -566?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from {d: 3, e: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19267617?\nAnswer: 3, 6422539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94*x**5 - 902*x + 902*x)*(-3 + 0 + 2)*(-2 + 9 - 3).\nAnswer: -376*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 at most 5733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(1053) + 5 - 4*(1 + sqrt(1053) + sqrt(1053)))**2.\nAnswer: -126*sqrt(13) + 51598","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + -15)*(-4 - (-102)\/30). Suppose 7 = 2*o - j. What is the lowest common multiple of 10 and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -166, -1, -4, 23, -3, 8.\nAnswer: -166, -4, -3, -1, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 AM and 10:48 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 924*t - t**4 + 3 - 2*t**2 - 460*t - 2*t**3 - 466*t to h*t**4 + w*t + j*t**3 + y + z*t**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-369)\/1968)\/(9\/4)*9.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 214765411\nAnswer: -2\/214765411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*b - 4, -2*q = 4*b - q + 2. Suppose b = 2*m + 3*m - 800. What is m rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 2 = -0*x - 2*r, -5*r = -3*x + 9 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 77621392?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - l**2 + 4*l + 2. What are the prime factors of r(-4)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 58761?\nAnswer: 235044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1065 + 1069. Suppose 2 = 4*o - 18. What is the remainder when o is divided by c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143541727 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**(-9\/2)*t)\/(t*(t**25\/t)\/t*t*t) assuming t is positive.\nAnswer: t**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -2*z - 13. Let p be i(-7). Let k be p\/(4\/(-12)) + -66. Let t be k\/(-21) + 6\/(-21). Which is the biggest value? (a) t (b) 0 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 5 + (-5 + 3 - -2) + -31.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5449 divided by -1509?\nAnswer: -5449\/1509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 343056343 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3180152919781 and -27.\nAnswer: 3180152919754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, a: 1, k: 1, e: 1, r: 1}. What is prob of picking 1 a, 1 e, and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.02 - -0.02. Let g = 506 - 3536\/7. Let n = -1 + 3. Which is the second smallest value? (a) n (b) w (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(931) + -1) + -2*(-1 + sqrt(931)) + -6*(1 + sqrt(931))*2 + -2)**2.\nAnswer: 1680*sqrt(19) + 372436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2618.98968 rounded to the nearest 10?\nAnswer: 2620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1813 and 370100381.\nAnswer: 1813","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**2 - 21*h + 88. What is the remainder when t(-3) is divided by 59?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*o - 7*o = o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 124*u**2\/3 + 488*u\/3 - 32\/3 = 0. Calculate u.\nAnswer: -4, 2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1170 by 585.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16313 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s**3 + 49*s**2 + 5*s + 465. Determine l(25).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 237585*q**2 - 712137*q - 1854 = 0.\nAnswer: -206\/79195, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3*2\/(-216)*6\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*r - 3*r + 12*r to i*r + h and give i.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 12 = -17*u + 2*j, -5*u - 3*j + 16 = 0. Solve p + 2*l - 8 = 0, -4*l + u*l = -8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-108)\/5)\/((-6)\/20).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 11 = -5*b. Let q be -3*-2*(-3)\/(-6). Suppose -q*g = -b*g + 4748. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, -8 in increasing order.\nAnswer: -11, -8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 8:44 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) - (sqrt(384) + 2*sqrt(384)))\/sqrt(8) + ((sqrt(288) + sqrt(288)*1 + sqrt(288))\/sqrt(6))**2.\nAnswer: -8*sqrt(3) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = p - 2*f, -f = 2*p - 2*f - 6. Suppose 0 = 4*u + p - 13. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**2 - 3045*h + 9140. Let q be t(3). Suppose -2*n + 5 - 1 = 0. Solve 3*m - 5*u = 2*m, n*m + 4*u = -q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eemmmellmem. Give prob of picking 1 l and 1 e.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 5*i - 4. Let j(r) = -r**2 - 8*r - 12. Let c be j(-5). Solve -5 = y - c, -i*y = 2*u + 14 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662251607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -199, 512, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -20\/169?\nAnswer: -20\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 + 2*u**2 + 6*u - 13. Let y be x(2). Let p be (63\/(-45) + (-1)\/(-1))*y. Which is the biggest value? (a) -1\/4 (b) 0.1 (c) -8 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 307653351\/82495 - -229\/16499. Let z = t + -3730. Find the common denominator of z and -21\/2.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*0 - -2. Solve 2*b + k*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22612 = 3040*x + 6271 - 71819 for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 477921.46 + -478071.460169. Let j = q - -150. Round j to 5 decimal places.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**3 + 48125*k**2 - 115824840*k + 115776720 = 0.\nAnswer: 1, 4812","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79520 and 676630.\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 0.256 (b) 2 (c) 2\/11 (d) 5 (e) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*s - 4 = 0, -2*s = 7*h - 5*h - 14. Suppose -5*w + 16 = -9. Suppose -w*p = -h*p + 2395. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*g = -2. Suppose -4*j = -0*m + 4*m - 88, m = j + 18. Let k be -3 + 0 - m\/(-7). What is the closest to 0 in g, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 57*q - 908 - 6 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (429663\/32890)\/(-479)*(-10)\/6?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3977 - -3982. Which is the closest to 28? (a) 1 (b) x (c) 0.4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 + -9. Let d = x - 3. Let j(a) = -a**3 + 4*a**2 - 2*a. Let m be j(3). Solve -m = d*u - 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from nkn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3094 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4516, 1.02, 4 in ascending order.\nAnswer: 0.4516, 1.02, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + -1120122?\nAnswer: -1120122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-15))\/((8008\/560)\/11)\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 223536 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -15*t**2 - 2*t + 1. Let s(r) = 60*r**2 + 9*r - 5. Let u(y) = -18*l(y) - 4*s(y). Let a be u(-1). Solve 5*o + 2*w + 5 = 0, -2*w - 2*w + a = -4*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2761.061 to zero decimal places.\nAnswer: -2761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**1*t)\/t))**(2\/151))**(-32\/3) assuming t is positive.\nAnswer: t**(64\/453)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (177\/(-236))\/(15\/(-8))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -470, -522, -574, -626?\n\"Answer: -52*f - 418","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from bkbbkrbbbrrbjpbkbp.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 5*o - 18, 3*o - 30 = 5*p - 8*p. Solve -9*x - 6 + o = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 769 and -1.13973.\nAnswer: -876.45237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, w: 3, t: 8, n: 6}. Give prob of picking 1 t, 2 w, and 1 n.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m**3 + 14*m**2 + 3171*m - 76140 = 0 for m.\nAnswer: -60, 27, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2)**2 - (sqrt(76) + -1).\nAnswer: -2*sqrt(19) + 305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.04. Let r = 0.003 + -0.103. Is a at least r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -7 + -1 + 51 + -37?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -289 - -182. Let t = z + 108. Suppose -5*x + 46 = 4*n, -n + x + 6 = -t. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -408 + 138 = -30*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 21637423 and 1.4?\nAnswer: 30292392.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -58980 divided by -60\nAnswer: 983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 8*q**2 + q + 12. Give f(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -26 + 205 - 4*w + 103 + 23 as l + n*w and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9390490 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 602952 by 168.\nAnswer: 3589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -632 + 1711. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 21*f - 3024. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**3\/3 + 3*n**2\/2 - 4*n + 1. Let i be 3 + 7*(-4 - -4 - -71). Suppose -i*y + 20 = -504*y. What is k(y)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 63*d - 717. Let b be h(-48). Let g be (16\/(4\/1))\/(-1). Let y be g*(-4 - (3 - 6)). Solve -y = 2*t - b*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 + -5. Let x(b) = b**2 - 8*b. Let n be x(9). Suppose -5*q - 159 = -4*t, -d*q = -5*q - n. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -127 - -129. Suppose -j*f + 6*f = 4*d + 4851992, 0 = 2*f - d - 2425998. Round f to the nearest 100000.\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/19047735 and -2\/1105.\nAnswer: 247620555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 27329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 - 5*i + 8. Let j be g(-6). What is the second derivative of 5*k**5 + k - 3*k + j*k - 4*k wrt k?\nAnswer: 100*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 233812058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -13. Let m be 62\/3 + u\/(9\/(-6)). What is the greatest common factor of 8 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**4\/5 - 216*k**3\/5 - 7542*k**2\/5 - 18128*k - 58080 = 0?\nAnswer: -44, -15, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 - -11100111010011100?\nAnswer: 11100111010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.5. Let r = -13 - -15. Put -1\/7, r, m in descending order.\nAnswer: r, m, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.18 - -1.12. Let r = -1 + x. Let w = 114\/1313 - 1\/101. What is the smallest value in w, r, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 263113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-45926705 + 45926705 + 2261*l)*(-3 + 2 + 2)*(4*l - 5*l + 0*l) to the form v*l + n + b*l**2 and give b.\nAnswer: -2261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18a78 + 2?\nAnswer: -18a76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -267 + 71280*w + 540 - 274.\nAnswer: 71280*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 4 + 1 - 7 + 2*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-4*3\/18). Solve y*u = -3*o - 12, -5 = -3*u - 5*o - 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 16 and 21 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3604, -7206, -10806, -14404?\n\"Answer: q**2 - 3605*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c70 (base 13) in base 15?\nAnswer: -142b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 737926445 and 737926443 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, -33, 0.2, -126, -21, 0.3?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 0*w + 5*x - 52, -3*w + 2*x + 59 = 0. Suppose 14*p = 16*p - 42. Calculate the highest common divisor of p and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-154)\/12)\/((-31)\/186). Suppose g = x*g. Factor g*c**2 + 8\/11*c + 0 - 2\/11*c**3.\nAnswer: -2*c*(c - 2)*(c + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 151\/2369340 and 113\/789780?\nAnswer: 2369340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*h**2*r - 447*h**2 + 131*r - 29 wrt h?\nAnswer: -14*h*r - 894*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - t - 16. Suppose 3*a - 9 = 4*v, -3*v = -2*a + t*a - 23. Suppose a*j = 4*j + 6. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1*(sqrt(15)\/sqrt(5))**2 + 5*sqrt(12) - (sqrt(3) - (2*sqrt(3)*-2)**2 - (sqrt(3) - ((-2*sqrt(12))\/sqrt(4))**2))).\nAnswer: 10*sqrt(3) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3186 and 7830.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-18*m + 2 - 2)*(1 - m**2 - 1) + 128*m + m**3 - 128*m)*(-m - 2 + 2).\nAnswer: -19*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2057499194 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x. Let g be -2 + 2 + (0 - -1). Let j be 2*2\/(4 - 0). Let z(l) = -j + g - l - l. Calculate z(f(w)).\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 213 = -32, 0 = -15*l + 2*b - 128 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**2 + 6*y - 176 = 0. What is y?\nAnswer: -11, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -226 * -130\nAnswer: 29380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -14*s**3 + 26*s**2 + 7*s + 17. Let o(c) = 5*c**3 - 9*c**2 - 2*c - 6. Give 6*n(z) + 17*o(z).\nAnswer: z**3 + 3*z**2 + 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 215?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 362988 and 14688.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4433, -8873, -13301, -17711, -22097, -26453, -30773?\n\"Answer: b**3 - 4447*b + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 - 11*z**2 + 14*z + 23. Let t be w(-12). Let u(h) = h**2 - h + 1. Let q(m) = -2*m**2 - m + 1. Determine t*q(j) + u(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from kklfkfkllcllll?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 212*x**2 + 816*x.\nAnswer: 2*x*(x + 4)*(x + 102)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3012352 (base 10) to base 11.\nAnswer: -1778252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*a*w**3 + a*w**2 + 9*a - 33*w**3 + 96 wrt a?\nAnswer: 16*w**3 + w**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 6*o + 3206 = 0. Suppose -o = -9*j - 5*j. What are the prime factors of j?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11433652 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -110.27 - -1.27. What is the nearest to -0.1 in z, 5, -5\/3, -3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*b = 2247, 6*b - 3*b = -15. Suppose -9*d - 9*d = v. Is -34 > d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 72*w**2 + 9431*w - 213. What is x(-131)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -4610542299723\nAnswer: -4610542299725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441*d**2 + 1332*d**2 - 447*d**2 - 437*d**2.\nAnswer: 7*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -54. Suppose 2*b + 40 = -2*b - 4*m, 0 = k*b - m + 15. Sort -4, 1, b, 4 in increasing order.\nAnswer: b, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 6*n + 2. Let r be i(-6). Let w be 166\/(-310) - ((-366)\/93 + 4). Which is the fourth smallest value? (a) 5 (b) -0.07 (c) r (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268330 a multiple of 206?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 8. Suppose -m*v = -v - 28. Suppose -42 = -4*j - 4*p + 9*p, 0 = 4*j + p - 30. Which is smaller: v or j?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 540049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 36*c**3 + 17*c + 4*c - 18*c**3 - 12*c**3 to the form t*c**3 + w + y*c**2 + x*c and give w.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -52 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-378 - (-3 - 3))*1487\/(-5948)\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/2064 and -109\/185760.\nAnswer: 185760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4001380 and 1770.\nAnswer: 590","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -170 - -243. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 3\/1535?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201121220212110 + -10?\nAnswer: -1201121220212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2 - 2)*(6083*a - 999*a + 3148*a + 2099*a + 591*a).\nAnswer: 10922*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.4 in 6\/17, 429, -2\/15?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -21, -9 in increasing order.\nAnswer: -21, -9, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -4707963 < -4707965?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.94 - 0.06. Let f = 25.8 + -28. Let d = f + 1.8. Which is the closest to m? (a) -1\/4 (b) d (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-7 + 7 - (1 - -36)) + (-2911 - -2906).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1913?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8)\/(643\/60442)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/127455 and -157\/90?\nAnswer: 764730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/5 - 572902*d\/5 - 16612476\/5.\nAnswer: -2*(d + 29)*(d + 286422)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 88 = -4*g + 17*g for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m\/((m**(-33)*m)\/m)*m))*m**(1\/16) assuming m is positive.\nAnswer: m**(561\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -37.7+0.846519\nAnswer: -36.853481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c + 5*q + 1274, 4*c - 4*q = 2524. What are the prime factors of c?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93677671 is divided by 307.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 312 = -0*c. Suppose -6*q - c = -8*q. Suppose -d + q = 3*d. What is the remainder when d is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 at most -581\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 - 4*l - 2*l - 5 + 3*l - 3*l. Let s be c(6). Let o(v) = -3 + 3*v**3 + 5*v**2 - 6*v + 5 + 2. Let d(h) = -h**3 - h**2 + h - 1. Give s*d(w) - o(w).\nAnswer: 2*w**3 + w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((2 - 10) + 232\/24)*3. Let z(d) be the third derivative of d**6\/120 - d**5\/15 - 7*d**4\/24 - d**3\/3 + 3*d**2. Determine z(p).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3*q + 15, -q - 5 = k - 0*k. Suppose 6 = -k*c + 2*c. Solve 4*v - c = 5*i, 2*v - 2 = i - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -430 + 741. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2556774915.\nAnswer: 3, 5, 170451661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -108.924 - 0.05\nAnswer: -108.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*o - o + 1386 = 0. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*s - 6, -3*j + 0*j - 5*s = -6. What is the second derivative of 5*d**4 + j*d - 6*d**4 + 4*d**4 wrt d?\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y - 44*y**2 - y - 107*y**2 - 78*y**2 + 154*y**2.\nAnswer: -75*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-3)*s)\/(s\/((s*s\/s**(2\/5))\/s)))\/(s*s\/((s**(2\/7)\/s*s*s*s)\/s))**(1\/90))**(-4\/11) assuming s is positive.\nAnswer: s**(-526\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2210 = 20*z - 3*z. Let y = -130 - z. Solve -22*h + 20*h + 10 = y for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110481 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - (-2 + 3) - (-1360)\/17. Let a be i\/160 - 4\/32. What is the closest to -1 in a, -3, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/821 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (603\/(-72) - -8)*450\/27 + 5.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 92*x**3 + 80*x**3 + 2*x - 41*x**3 - x.\nAnswer: 131*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 3*s + 50. Let u be j(5). Solve -u*k**3 - 32*k - 10*k**2 - 7 - 13*k**2 - 11*k**2 - 1 = 0 for k.\nAnswer: -2, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 1 = -4*v - 3, 0 = 5*v + 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**8\/84 + 3*p**4\/4 - 20*p**3\/3 - 7. Let r(k) be the third derivative of m(k). Find the first derivative of r(h) wrt h.\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = l - 8 - 5, -4*r - 3*l = 18. Let o be 3*r\/9 + 6. Let k(n) = -n**3 + 6*n**2 - 2*n. Determine k(o).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 680 and 80.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5891180\/2291009 + -2\/327287. What is f in 0 - 2\/7*f**2 - u*f = 0?\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - 2*l**2 + 3*l**2)*(-2*l**2 - 3*l**2 + 4*l**2) + 3*l**4 - 5*l**4 - 4*l**2 + l**4.\nAnswer: -2*l**4 - 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9309276661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1607989, -1607998, -1608013, -1608034?\n\"Answer: -3*c**2 - 1607986","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -97177\/17940 - -211\/39. Let s = 1897\/8740 + z. Let x = -49\/38 - s. Which is the nearest to 0? (a) 0.04 (b) 1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -543*w - 544*w + 1087*w - 26*w**2.\nAnswer: -26*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ynwn when four letters picked without replacement from {n: 3, y: 5, t: 3, i: 2, w: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2.97. Let o = n - 0.23. Which is the biggest value? (a) -3 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 14*l - 19. Let z be b(-12). Solve -3*p = -7*p - g - 5, 2*g = -z*p - 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**5\/30 + 7*k**4\/12 - k**3\/6 + 5*k**2. Let d be m(-7). Let l be 2 + (d - 3) - 5. Let p(i) = -i**2 - 6*i + 9. Determine p(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2799 or 2?\nAnswer: 2799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/24 + 74\/8. Let x be 1\/5 - 4248\/40. Let f = y - x. What are the prime factors of f?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.5 and 2.534.\nAnswer: -3.801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.862 - 5.962. Let s = -8.94 + -0.06. Let h = s - -9.3. What is the closest to -2 in -5, h, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 5055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = f - 11. Let h = f + 22. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326157271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 395 and 104517.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + 3*m + 2. Let p be 1*14\/28*1*-2. Let n be a(p). Let b = 19 + n. What is the remainder when 55 is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1853.9 + 2418. Let u = f + -541. Round u to the nearest integer.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*z = 110*z - 15. Let j be (0 + 0 + z)\/((-105)\/(-10)). Are j and -3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1134, 1108, 1056, 972, 850, 684?\n\"Answer: -d**3 - 7*d**2 + 2*d + 1140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 4*c**2 - 4*c**2 + (2*c**3 + 0*c**3 + 0*c**3)*(5*c**2 - 5*c**2 + c**2) + 355*c**5 - 226*c**5 - 1725*c**5.\nAnswer: -1593*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*f - 5*l - 10 = -6*f, -10 = -f + 3*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) 0.3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -96, 1, -2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/383548 and 127\/120522.\nAnswer: 60984132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + 6*f. Let s be o(-6). Which is the biggest value? (a) 2 (b) s (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(7200) - (-4 + (sqrt(7200) - (sqrt(7200) + 4*sqrt(7200) + sqrt(7200))))) + 4 + -4 + (-3*-1*sqrt(7200) - sqrt(7200))))**2.\nAnswer: 34560*sqrt(2) + 4147344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-10)*-10*(-1)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 11*-1*(4 + 1 - 6). Let q = 2 + -2. Suppose q = -3*u + 2*u + 88. What is the highest common factor of u and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -5\/84808707?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -11 + -b9743?\nAnswer: -b9754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2\/63))\/b**(-3\/17)*b**(-26)\/(b**2*b) assuming b is positive.\nAnswer: b**(-29765\/1071)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/11 at least as big as 624533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1292 divided by 6?\nAnswer: -646\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u + 2426 - 2426. Let t(w) be the third derivative of -w**7\/504 + w**4\/3 - 31*w**2. Let q(b) be the second derivative of t(b). What is q(s(o))?\nAnswer: -125*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -5*s**3 - s**2 - 2*s + 3. Let a(y) = y**2 - 6. Let v be a(2). Let g be 2\/(3 + (v - (-4 + 4))). Give b(g).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 507 and 78?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9350, -9378, -9404, -9428?\n\"Answer: u**2 - 31*u - 9320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 160 + -159. What is the fourth smallest value in 1\/4, 0.3, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w - 9 - 15. Let d be 224\/48*w\/(-7). Suppose 0*i = -b - d*i + 109, -3*i = 3*b - 363. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2166 and 1710?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-182*u**2 - 235*u**2 + 141*u**2)*(8 - 8 + 1 + 9).\nAnswer: -2760*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*s**2 - 40*s - 800.\nAnswer: -(s + 40)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -2, -13206, -5 in decreasing order.\nAnswer: -2, -5, -7, -13206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 AM and 9:51 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/2 bigger than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4679*u**2 + 4507*u wrt u.\nAnswer: -9358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**(2\/13)*g)*g*g)\/g**(-1\/16)*(g**12*g)\/g*g**(-1) assuming g is positive.\nAnswer: g**(2685\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8598 (b) -4 (c) 2\/17 (d) -2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 8:07 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q - 14. Let o be -1*(108\/45)\/(6\/20). Let p be w(o). Let b(l) = -2*l + p*l + 14*l. Let v(i) = -2*i**2. Give b(v(d)).\nAnswer: -28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 23 = 5*y - 4*b, 3*y = -3*b + 15. Let x be y + -3 + 4*6. Let n = 27 + 38. Calculate the highest common factor of n and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**2 - 8*u - 3. Let c(l) = 4*l**2 + 8*l + 4. Let v(t) = 4*c(t) + 3*w(t). What is v(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(2*t + 0 + 0) + 33*t - 43*t - 26*t - t - t + 13*t + 3 - 3 + 2*t.\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11559*-0.32.\nAnswer: -3698.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59472 = -151*b - 1088*b for b.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/1782 and 59\/8910.\nAnswer: 8910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9*t**2 + 71*t + 11. Calculate d(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of -19*m**6\/120 + m**5\/30 + m**4\/24 - 5*m**3\/6 - 72*m**2. Calculate the smallest common multiple of 51 and u(-2).\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008729867944 to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264 + 6*z**2 - 7*z**2 - 130.\nAnswer: -z**2 - 394","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 6*d**3 - 2*d + 1. Let q(v) = v - 1. Let r be q(-3). Let p be ((-8)\/(-12))\/(r\/(-6)). List the prime factors of u(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 506 - 713 - 973 = -295*v. Factor 0*r + 70\/3*r**3 - 25\/3*r**2 + 0 - 49\/3*r**v.\nAnswer: -r**2*(7*r - 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -243 - -245. What is the nearest to 1\/8 in 7, -1, t, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t*t**47))\/t)**(-4\/15) assuming t is positive.\nAnswer: t**(64\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 12 - 40. Suppose w - z = -1. Calculate the remainder when 23 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/8 (b) 10 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qyy when three letters picked without replacement from qyxyyyxqx.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 4 (b) 0 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 1 + 0 + 3)*(-3*h + h + 0*h) in the form u*h + o*h**2 + v and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u**4\/8 - 351*u**3\/8 + 879*u**2\/2 - 369*u\/2 - 5724 = 0.\nAnswer: -3, 6, 8, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2117 and 2585222.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1735, -3252, -4551, -5638, -6519, -7200?\n\"Answer: -n**3 + 115*n**2 - 1855*n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/287700 and -47\/450.\nAnswer: 863100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -62.002 - -62. Let k = q - -0.138. What is k rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -6. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.84 or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 + 4)*1 + 1. Let k be z\/(4 - 21\/6). Suppose k = 15*d - 13*d. Solve d + 1 = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 11 - (4 + -1)*(-1836)\/(-884).\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15850 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11650 is divided by 105?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.97649 litres to millilitres.\nAnswer: 976.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29325845 by -5.\nAnswer: 5865169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 1\/3 (b) -2 (c) -21\/16 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 372971335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.236 (b) -321947 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 54344.54 to the nearest one thousand.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 4*p**2 + 1. Let m be c(4). Let b be 960003 - (1 - (-1 - m)). Round b to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 z when four letters picked without replacement from lpllzzz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 33\/4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1558 - 416*w - 1494 + 3052.\nAnswer: -416*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2622 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -114044 - 22?\nAnswer: -114110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-21) + (-190)\/(-14). Let j = k + -1. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169981404?\nAnswer: 2, 3, 37, 311, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -14*n**3 + n**2 + 7*n + 5. Let z(i) = 8*i**3 - 3*i - 2. Let a(l) = -2*y(l) - 5*z(l). Determine a(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/77717 and 55\/5014?\nAnswer: 155434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddsewdsd. Give prob of sequence ds.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x**2 - 8*x - 9. Let z be f(-4). Is 8 a factor of (9\/(-6))\/(z\/96)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 3*o**2 - 2*o**2 + 3*o**2 + 0*o**2 - 2*o**2 + (4*o - o - o)*(2*o - 1 + 1).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1005, 2094, 3403, 5040, 7113, 9730?\n\"Answer: 18*j**3 + 2*j**2 + 957*j + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11626833 is divided by 6713.\nAnswer: 6630","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22278 and 282.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2508567?\nAnswer: 3, 836189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -466287\nAnswer: 1\/466287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(88)*-1 - (sqrt(88) + 3*sqrt(88)*-3))\/(3*sqrt(200)*-2 - (sqrt(200) - -5*2*sqrt(200) - sqrt(200))).\nAnswer: -11*sqrt(11)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/118 and 53\/32?\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 134 = 4*i, -19*r + 21*r - 564*i = -567*i - 38 for r.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 1033*w + 18608. What is o(-18)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-279)\/(-12) - 3\/12. What is the units digit of u\/4 - 2\/(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2. Let p = h - -2. Solve 9*l + 4*s + 27 = 4*l, 0 = -5*l - p*s - 24 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 6*t**2 - 1057*t - 7507. Determine k(-7).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 4*b - 6408. Suppose -3*x = -4*n - 783, -3*x + 95 = 4*n - b. What are the prime factors of x?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3585328 and 0.09.\nAnswer: -3585327.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102340?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 7*q**2 - 11*q + 3. Calculate m(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7567*y**5 + y**4 + 1270*y**3 - 77496*y**2 - 4*y - 1 wrt y.\nAnswer: 454020*y**2 + 24*y + 7620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -35609952*a. Let f(o) = -o**2. Give g(f(t)).\nAnswer: 35609952*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31074 and 776850.\nAnswer: 776850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5\/(60\/5764) - 4\/3.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2602399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/((d\/(((d*d**(2\/3)\/d*d*d*d)\/d)\/d))\/d))\/d)\/d**14)\/(d**(-1\/25))**11 assuming d is positive.\nAnswer: d**(-817\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/17 and (1\/(-12))\/(10\/(-980)).\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-48)\/28 + (-4)\/14. Let t be c\/4*0\/1. What is the second derivative of t*n - n**3 + n + 3*n**3 wrt n?\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6588355.\nAnswer: 5, 1317671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*t - 10, 5*i + 10 = 2*i - 2*t. Let s(m) = m**3 - 5*m**2 + 5*m + 8. Let w be s(3). Solve i = x + w - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 137828235?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 122201 to the nearest integer?\nAnswer: 350","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72152 + 71932. Let u(z) = 221*z. Let y be u(-1). Is i at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.21066 + 8.99?\nAnswer: 8.77934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/33 - (-148)\/6. Let r be v\/(-6) + 11\/2. Which is the nearest to -0.1? (a) -3 (b) 0.3 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 3:39 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*w + 28*w. Suppose 6*m - 9*m + 3 = w. Which is the second biggest value? (a) m (b) 0.07 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/11 in 47, 0.5, -272249\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/10 + 28\/(-20). Let q be ((-3)\/6)\/(j\/(-30)). Find the common denominator of -101\/8 and (-5)\/q*131\/6.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54912300 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186*44.\nAnswer: 8184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**2 - 1076*z - 11 + 38 - 5 - 22 to d*z + u*z**2 + f and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -24.5 + 24. Let w = 1.3 - 8.3. Let o = -62 + 62. Which is the biggest value? (a) o (b) 3 (c) f (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 39*i + 2726. What is y(-70)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/5 of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 799*h - 4 + 782*h - 1585*h. Let l(m) = 15*m**2 + 11. Let t(a) = 4*a**2 + 3. Let o(w) = -6*l(w) + 22*t(w). Calculate g(o(s)).\nAnswer: 8*s**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15912?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence whm when three letters picked without replacement from {r: 2, w: 2, g: 5, h: 2, m: 1, t: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 + -2. Let g = -0.3 + u. Let h = -1\/42 - 52\/21. Put h, 0.4, g in increasing order.\nAnswer: h, g, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8613005?\nAnswer: 5, 1722601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 396 (base 16) in base 6?\nAnswer: 4130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 - 4*l - 1. Let q be o(-3). Suppose 4*m = -w + 61, 3*w - 18 = -3*m + 2*m. Suppose -m - 3 = 6*c. Put q, 5, c in descending order.\nAnswer: 5, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 26) + 21 - 18\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3531, -3517, -3473, -3381, -3223?\nAnswer: -2981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 15*l**6\/8 + 103*l**3\/6 - 19*l**2 + 2. Differentiate u(s) with respect to s.\nAnswer: 675*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.062 and -7129046801230.\nAnswer: -7129046801230.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 189301073 + -189301075.130000496. Let h = n - -2.13. What is h rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 5*r + 47 - 27, 10 = k - 2*r for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the second derivative of 0 + 0*i**3 + 1\/5*i**4 + 1\/100*i**5 - 13*i + 0*i**2. Determine l so that v(l) = 0.\nAnswer: -12, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmssmsms. Give prob of sequence msss.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3339930 and 48.\nAnswer: 26719440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 17379600 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 96264749579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -878*x + 4518*x - 869*x - 854*x - 875*x - 879*x.\nAnswer: 163*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -113*o + 578. Let f be r(5). Let z(j) = -j**2 - 5*j. Let p be z(-4). Solve 0 = 3*u - d - f, 4*d = -0*d - p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, c: 13}. Give prob of sequence ss.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**3 + 3*l - 1. Is 9 a factor of z(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -12 - 35*x + 6*x + 25 + 0*x - 11. Let m(b) = 13*b - 13*b + 6*b**2 + 2*b**2. Determine k(m(s)).\nAnswer: -232*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -1597 + 541. What is the highest common factor of 108 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*i - 22*i + 27*i.\nAnswer: -9*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 64940737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 4*y - 69. Let l be (-2)\/(-2) - (3 - 4 - -2). Suppose -3*q = 3*x - 231, l*x + 239 = 3*q - x. Calculate the remainder when q is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48639 + 48639 - 7*v.\nAnswer: -7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4007\/4 or 1002?\nAnswer: 1002","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 2) to base 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19877\/17 - -178910\/153. Factor 784\/9 + 56\/9*n + t*n**2.\nAnswer: (n + 28)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4b - 15888b?\nAnswer: -158840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 329693.9\nAnswer: 329693.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -79171729?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -513 - -514. Suppose -2*y + 4*v = -14, -v + 0*v + 1 = y. Put -1, y, x in decreasing order.\nAnswer: y, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -g - 12 + 36, -3*m + 108 = 5*g. What is the remainder when 78 is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**3 - 3*i - 4. Let m(x) = 4*x**3 + 9*x + 11. Let v(r) = -3*m(r) - 8*y(r). Let o(g) = 3*g**3 + 2*g + 1. Determine -3*o(q) - 2*v(q).\nAnswer: -q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2237171 - 1126654. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 737781?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -15190.\nAnswer: 1\/2170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -3*b + 2. Let l be r(-6). Let a = 45 - l. What is the remainder when a is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from bbabakabbbbbkkbbbb?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 213 and 24.\nAnswer: 1704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-0.5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 11*f = 2*k + 2, 3*k - 2*f = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 374927, 1500061, 3375293, 6000629, 9376075, 13501637, 18377321?\nAnswer: 24003133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 + 54\/(-4))\/(1748\/(-760)).\nAnswer: -5\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**2 + p**2 + 4*p**2)*(-p - 187*p - 2*p) - 4*p + 4*p + 2*p**3.\nAnswer: -188*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12255*t**4 - 7148*t**2.\nAnswer: 294120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 3:01 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 46 + 1201*z**2 - 63 + 17 as t*z**2 + p + d*z and give t.\nAnswer: 1201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -458.2 and 6832.89?\nAnswer: 7291.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 0.8 (b) -3 (c) -5 (d) 79 (e) 309\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 6*r**2 - 10*r - 8. What are the prime factors of o(-6)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(((-4)\/(-8))\/(9\/(-18))).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -n**3*s**3*z - n**3*s**3 + 1584*n**3*z**2 - 320*n**2*s**2 + 4*n**2*s*z**2 - 2*n**2*s*z - 5*n*s**3*z - n*s*z**2 wrt n?\nAnswer: -6*s**3*z - 6*s**3 + 9504*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the third derivative of -7*q**4\/4 - 139*q**3\/2 + 165*q**2 + 2*q. What is the tens digit of c(-20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 822 is divided by 704.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 5*d**2 + 6150*d + 1891125 = 0?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - l - 24 = 3*l, 2*l = 5*h - 26. Find the second derivative of -17*m**2 - 3*m - 9*m**2 - 13*m + h*m wrt m.\nAnswer: -52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12134420 (base 5) to base 14\nAnswer: -2dc93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.669326 rounded to two dps?\nAnswer: 157.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 2*r**5\/3 - 5474*r**4\/3 - 7310*r**3 + 5474*r**2\/3 + 21928*r\/3 = 0?\nAnswer: -4, -1, 0, 1, 2741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**2. Let q(y) = -2*y**2 + 122*y. Determine q(s(t)).\nAnswer: -8*t**4 + 244*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 292, 0.06, -10.7, 1, 7, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z. Let h(t) = -t + 3. Let k be h(z). Suppose -5*s + 0*j = -k*j - 21, -3*s + 5 = 2*j. Solve 3*i = r + s, -4*r = -r + 5*i + 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -591 + 494. Sort o, -1, -2\/9 in descending order.\nAnswer: -2\/9, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*-116.04.\nAnswer: -2668.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.29 and -4937701395?\nAnswer: 4937701395.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 + 46. Let y = 74 - r. Solve -6*h**2 - 11*h**3 + 7*h + 0*h**y - 2 + 4*h + 8*h**2 = 0 for h.\nAnswer: -1, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 27\/2 of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(3\/2)\/y))\/((y\/(y**(1\/15)*y))\/y) assuming y is positive.\nAnswer: y**(47\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*v + 34*v + 35. Calculate the remainder when v\/(147\/(-259))*3 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 + 11*q + 8. Let n be z(-10). Let d = n + 13. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82829 to the nearest integer?\nAnswer: 288","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -4*o + 4, c + 4*o + 7 + 1 = 0. Suppose -10*u = -c*u - 24. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(84\/86) + (-1)\/(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*g - 21 = -2*g, 4*n - 26 = -3*g. Suppose -n*r - 25 = 0, -12*r + 7*r - 46 = -3*k. Solve -l + 18 = -k*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 6. Let o(a) = -3*a**2 + 5*a - 4. Let y(p) = -3*p**2 + 4*p - 3. Let u(l) = s*y(l) + 3*o(l). What is the second derivative of u(f) wrt f?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.132 + -5.832. Let d = z - -5.5. What is the third biggest value in -1\/3, d, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100372763.\nAnswer: 19, 5282777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18*a**3 - 392*a**2 + 5848*a - 1280.\nAnswer: -2*(a - 10)*(a + 32)*(9*a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence srs when three letters picked without replacement from rss.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 292767798.\nAnswer: 2, 3, 41, 229, 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7249831 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -e?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*g = -7*g - 54, -3*y - g = -98. Calculate the remainder when 118 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 118*r + 1265. Let d be a(-14). Solve -5*s = 2*u + 3*u + d, -3 = -3*s + 3*u for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1795660 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 47 - 47 + d. Let x(f) = -55*f. Determine z(x(v)).\nAnswer: -55*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**2 - 12*q - 4. Let m(r) = -5*r**2 + 15*r + 5. Let k(g) = 4*m(g) + 5*z(g). Let d(y) = -22*y**2 - 2*y. Determine k(d(i)).\nAnswer: 2420*i**4 + 440*i**3 + 20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - v - 2. Suppose 0 = -s + 2. Let w be d(s). Suppose y + 23 = 2*l, -2*l + 0*l - y + 29 = w. Is 5 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (533133\/222)\/((-3)\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 12*o**2 + 189*o - 258. Let k be v(-18). Calculate the greatest common divisor of 2204 and k.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.2802229 hours to weeks.\nAnswer: 0.1207156125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = r, 3*f + 2*r = 501 - 99. Calculate the greatest common divisor of 13478 and f.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -19129?\nAnswer: -19129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -2\/5 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 658578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2047324 * 4.\nAnswer: 8189296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 4, -12933 in descending order.\nAnswer: 5, 4, -1, -12933","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -39 - -11. Let z = l - -86\/3. What is c in -z*c**3 + 0 + 0*c**2 + 2\/3*c = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 363089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - (-7 - -4))\/((-1)\/2). Suppose -8 = r*b - 24. Determine m so that -2*m**2 + 9 + 6*m + 11*m**2 - 3*m**2 - 5*m**b = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 d when two letters picked without replacement from {d: 2, r: 5}?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 680?\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1648062609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -7*v + 165. Give s(21).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 6:27 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 24*z. Let a(f) = -2*f**2 - 15. Determine s(a(h)).\nAnswer: -48*h**2 - 360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 325.36 - 325.3. What is the biggest value in 0.1, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1597 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3817780 divided by 381778?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a year in months?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6884, -27536, -61956, -110144, -172100, -247824?\nAnswer: -337316","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 0. Let x(z) = 11*z - 9. Let j be x(7). Suppose 48 = y*i + 5*f - 37, -4*i = -f - j. List the prime factors of i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o = -10*o + 27. Let u be (-129)\/o + -2 + 7. Let y = 18 + -18. What is the nearest to -0.2 in y, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 7*c**3 + 370*c**2 + 1621*c - 136. What is j(-48)?\nAnswer: 392","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 14 = 2*l + 15, 4*p + 5*l = 103. Calculate the remainder when p is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-208)\/78 + (-80)\/(-12). Let u(x) = -x**2 + 12*x + 1. Let c be u(12). Sort j, c, 3.\nAnswer: c, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -3.73, 3, 0.14, -21 in descending order.\nAnswer: 3, 0.14, -0.2, -3.73, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 2, -3, 460 in descending order.\nAnswer: 460, 2, 1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0 - -0.1. Let t be 4\/(-2) + (-662)\/(-5). Let i = -130 + t. Sort i, -1, o in decreasing order.\nAnswer: i, o, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(72) - sqrt(8)) + sqrt(8))\/sqrt(4)*5 + -1.\nAnswer: -1 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -204, 18, 240?\n\"Answer: 222*z - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + p + 0*p)*(136*p + 428*p + 342*p - 231*p).\nAnswer: 675*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 80*h**4 + 725584*h**2 - 326*h - 835825?\nAnswer: 960*h**2 + 1451168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -124, -116, -102, -82?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-10)\/(-4) + 8\/(-16). Suppose 0 = r*b + 1671 + 109. Is (-8)\/10*b\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 5:41 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17832 and 312.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 13*i**2 + 15*i - 20. Calculate y(12).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 120, 5, -5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 325 + -265?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8017 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/20)\/((-144)\/3240).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1191060743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*o**2 + 0*o - 8*o**2 - 7*o + 5*o**3 wrt o.\nAnswer: 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 5, -2, -5, 1, -172, 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) 0.5 (c) -0.83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 5*v = -11410, 3*c + 28*v - 30*v - 6842 = 0. Calculate the remainder when c is divided by 190.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/136 and 55\/36754.\nAnswer: 147016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1020164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 8 - 5)*(2 - 4 + 1) + 0 + 5 - 4)*(2 - 2 - 1)*(-4*a**3 - 2*a + 2*a).\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 251, -5, 3\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - -1.1729555006.\nAnswer: -5.8270444994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000115307 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 93822 and 12?\nAnswer: 187644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.92762 + -0.07238. What is the closest to 0.1 in -76, -1, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140544*k + 140864*k = 24000 for k.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 11*r - 38. Suppose -9 = -2*v - j, -v - 3*j - 9 = 2*j. Let z be t(v). Let u = -26 + z. Solve -u*f - 23 = -7*f - m, -2*f + m = -5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 + -73. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18206420 is divided by 299.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -10*f + 5*f + 5, -j = -5. Let l = -4 + f. Suppose -g + 4*y + 18 = 0, l*g = -g - y + 8. What is the smallest common multiple of g and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 (base 4) in base 8?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 5*m + 38567 = 0, -134*m + 133*m - 9653 = -w. Is w a multiple of 134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(2*sqrt(5) - sqrt(5)) + sqrt(26) + sqrt(1664)*1)\/(sqrt(2) - sqrt(22)\/sqrt(44) - -6*sqrt(2)*-2).\nAnswer: -20*sqrt(13)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2269\/(-176982))\/(2\/72).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + b**3 + 2 + (-3 + 2 - 7)*(14 - 37 + 16 + (0 - 2 + 1)*(1 - 4 + 5))*(-6 - 6*b**3 + 6) + b**3 - 3*b**3 - b**3.\nAnswer: -434*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*z - 65*z - 60*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 180 = 7*a - 2*a. Suppose -5*f + a = -4*f. Solve -12 + 1 = 3*l + r, -4*r + f = -4*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37\/7, 19, -3, 3 in increasing order.\nAnswer: -3, 3, 37\/7, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:02 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 2*n - 4*n + s, -5*n + 3*s - 25 = 0. Let k(a) = -a**3 - 2*a**2 + 2. What is k(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 13797.\nAnswer: 13796.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 15, 0, -440 in descending order.\nAnswer: 15, 3, 0, -440","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 1:48 AM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in -1.54, 430, -1\/7, -5, -0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -374 + 368. Is 56 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 0*o = -5*r - 16, -2*r = 0. Let m be o*6\/(-16)*(-3)\/(-18). What is the nearest to m in 2, -1\/7, -4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 440, -892, 3 in descending order.\nAnswer: 440, 3, -5, -892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of a**4\/8 - a**3\/6 + 2*a**2 - 2. Determine c(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 223841?\nAnswer: 223841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 4, -3\/2, -21?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 6 = -38. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 112*m - 136*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes before 10:18 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/50 of a tonne?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*z**2 + 1524*z + 1527 = 0. Calculate z.\nAnswer: -1, 509","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180 divided by -10.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802411 is divided by 28644?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 1997*a**2 + 3996*a**2 - 1998*a**2. Let h(n) = 9*n**2 + 9*n. What is 4*h(z) - 33*j(z)?\nAnswer: 3*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760280 divided by -15?\nAnswer: -117352","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 121035362 and 284950.\nAnswer: 11398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5 + 7 = 0. List the prime factors of (-15)\/9*3\/t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17705, 19624, 22817, 27278, 33001, 39980, 48209, 57682?\n\"Answer: -i**3 + 643*i**2 - 3*i + 17066","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -551.736 less than 66391860?\nAnswer: 66392411.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**5\/150 + 8*w**4\/15 + 68*w**3\/15 + 208*w**2\/15 - 914*w. Factor g(c).\nAnswer: -2*(c - 52)*(c + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of 0*a**5 + 0*a + 4 + 0*a**2 + 1\/4*a**6 - 3\/8*a**4 + 0*a**3. Factor x(n).\nAnswer: 3*n**3*(n - 1)*(n + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*q**3*r - 223*q**3 + 2*q**2*r + 18*q**2 + r + 341 wrt q.\nAnswer: 90*r - 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-24)\/16*(-190)\/5 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q\/(((q\/(q**(-5)*q*q)*q)\/q*q)\/q)))\/q)*q*(q\/((q**(-4)\/q)\/q))\/q*q)**(-13) assuming q is positive.\nAnswer: q**(-78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of -d**3\/6 + d**2\/2 + 2*d. Suppose 4*l = -l + 10. Let f = -1 - l. Determine b(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 7*x - 1. What is the tens digit of m(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2326045, 2326044, 2326043, 2326042, 2326041, 2326040?\n\"Answer: -f + 2326046","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2362669 is divided by 62.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(168\/(-2205)*57\/(-152)).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.61 and -418?\nAnswer: 418.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5657, 22659, 50983, 90617, 141549, 203767, 277259, 362013?\nAnswer: 458017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 4, v: 1, f: 2, i: 3}. What is prob of sequence fv?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399320 is divided by 150.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 1\/230, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 x when two letters picked without replacement from {x: 10, l: 1, r: 3, h: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -10*x**2 - 1180*x - 8. Calculate q(-118).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9616.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 8) in base 4?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1392.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*u**5 + u**2 + 6*u**5 + 2*u**2 + (-3*u + 2*u + 0*u)*(4*u**4 - 7 + 7).\nAnswer: -6*u**5 + 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-4) - (-99)\/22?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119399869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(3)*-3)\/sqrt(2))\/(((1*sqrt(72))\/sqrt(9))\/sqrt(2)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.02 + -2.82. Let u = j - -2.7. Which is the second biggest value? (a) u (b) -3\/7 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 206 + 226 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10\/(-6)*-123*(-3 + 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6076.237 years?\nAnswer: 72914.844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*a - 60 = 10*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 5*b - 5. Let l(q) = 9 - 14*q - 6*q + 11*q - 3*q**2. Calculate 9*g(a) + 5*l(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7\/120 - -1177\/1080. Find the common denominator of -167\/30 and f.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.87 + 1.39. Let d = 21.96 - v. Let y = d + -9.7. Is -0.1 not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63\/54*(-4)\/(-7).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 31897.6 millilitres?\nAnswer: 31.8976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-56)\/49)\/(-2*(-2)\/(-14)). Suppose -3*l - 2*l + 3*v = -14626, w*v = 4*l - 11696. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4479809 a multiple of 155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120280 by -9.\nAnswer: 120280\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -10373761 + -5?\nAnswer: -10373766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108129887*c**2 - 54064944*c**2 - 54064906*c**2.\nAnswer: 37*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/5 + 151*y**4\/5 + 24*y**3 - 4424*y**2\/5 + 11344*y\/5 - 1680.\nAnswer: (y - 2)**3*(y + 7)*(y + 150)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 - 6 - 4 - 282*s**2 + 298*s**2.\nAnswer: 16*s**2 + 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/14 - (-22)\/7. Suppose 15 = 5*y + t, z*y - 7 = -3*t + 2*t. What is the remainder when 9 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.18 in 7, -7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590*u + 66 = 4*x - 596*u, 5*x = 2*u + 33 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/15)*d)\/(d**1*d))**(1\/28) assuming d is positive.\nAnswer: d**(1\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6}. Give prob of sequence zz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + 130131?\nAnswer: 130130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1131 + 1153. Calculate the remainder when 119 is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 6*k - 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 38?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -70, -97, -124?\nAnswer: -151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57 = -11*q + 112. Suppose 0 = -2*t - 3*l + q - 7, 5*t + 2*l = 6. Solve t*a - 8 = -2*g, -2*g - 15 = -4*a - 5*g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -0.3 (c) -2\/11 (d) -1\/73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**2 + 2*f + 2. Let w(o) = 8*o**2 - 7*o - 7. Let m(v) = 7*h(v) + 2*w(v). Let b(j) = 23*j**2 - 15*j**2 + 21*j**2. What is m(b(g))?\nAnswer: 1682*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43555145 (base 7) to base 5.\nAnswer: 1424314311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 + -2 + (4 - (-31 - 4)) is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**2 - 7*u + 13. List the prime factors of t(9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1536 smaller than 1536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 397, -31, -4, -63 in descending order.\nAnswer: 397, -4, -31, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4*((((sqrt(1700)*-3 - sqrt(1700)) + 0)*-3)**2 + 1).\nAnswer: 979209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -z, -k + 3*z + 24454 + 2490 = 0. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 7589*f - 7620. Calculate q(1).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(119) - sqrt(119))*6 + sqrt(119) + sqrt(119)*2*3)\/((-3*sqrt(336))\/sqrt(3)).\nAnswer: -13*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -100 and 286294.\nAnswer: -28629400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 80651720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 185*f - 369. Let q(g) = -184*g + 368. Let h(p) = 2*o(p) + 3*q(p). What is the derivative of h(l) wrt l?\nAnswer: -182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -4*l + 1. What is i(-6)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -145 - -4.317802456?\nAnswer: -140.682197544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2525*w**2 - 30*w + 2053. Let u(o) = 3366*o**2 - 41*o + 2737. Let k(t) = -11*f(t) + 8*u(t). What is the second derivative of k(l) wrt l?\nAnswer: -1694","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25228 plus 0.45071?\nAnswer: 25228.45071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9 + -1)\/(1 - -1). Suppose 16 + v = -5*c. Let a = c - 113. Round a to the nearest ten.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, i: 4, l: 4}. Give prob of picking 1 i and 3 g.\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3.1. Let u = 18 + -20. What is the nearest to w in -2\/17, 0.2, u?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*i = -3*g - 6, 0 = -4*i + 16. Let d(n) = -2*n + 5*n**2 + 2*n - 50*n**g. Let q(o) = 2*o - 2*o + 3*o - o. What is q(d(z))?\nAnswer: -90*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -175 + 255 - 80 - 16*a**2. Let h(m) = -93*m. What is h(j(w))?\nAnswer: 1488*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4\/5 (b) 0.1 (c) 4 (d) 9.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w**4 + 6*w**4 - 2*w**4)*(2*w + w - 2*w)*(1 + 2 + 5).\nAnswer: 16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, w: 2, y: 1, g: 7, p: 6}. What is prob of sequence wk?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -13393804*x. Let r(b) = 3*b**2. Give r(w(f)).\nAnswer: 538181956771248*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 2*x - 15 + 0*x)*(-1 + 0 + 4).\nAnswer: 6*x - 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 367*g - 590. List the prime factors of w(18).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14546990, -29093979, -43640968, -58187957, -72734946?\n\"Answer: -14546989*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4545 = -18*q + 11043. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4*h**2 + 2*h + 2. Let o = -34 + 13. Let k = o + 32. Let n(l) = -20*l**2 - 11*l - 11. What is k*v(y) + 2*n(y)?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, 3.3, -6 in decreasing order.\nAnswer: 3.3, 2\/11, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411563 is divided by 102863.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**5 - 35*j**4 + 55*j**3 + 95*j**2 - 190*j + 80.\nAnswer: -5*(j - 1)**3*(j + 2)*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53468\/3 - 17479. Let w = d - 343. Which is smaller: w or -0.95?\nAnswer: -0.95","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000001001011 (base 2) to base 3.\nAnswer: 102100012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - -36. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/12 - 31938\/(-24). Factor 41 + d + 84*v**2 + 11*v - 4*v**3 - 599*v.\nAnswer: -4*(v - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 50 = 0, -3985*q = -5*a + 3983*q - 7967*q - 5 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/2151428 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4745?\nAnswer: 5, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/((((l**(-1)\/l)\/l*l)\/l)\/l)))**(-27)*l**(2\/13)*l**(-5))**(-39) assuming l is positive.\nAnswer: l**(-4023)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*n**4 + 12 + 261*n**2 + 90*n**4 - 96*n - 4*n**4 - 270*n**3 = 0. What is n?\nAnswer: 1\/3, 2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - s - 11 = 0, w - 13 = -s + 6. Suppose 2*n + 0 = f + 9, 13 = -3*f - n. Calculate the remainder when w is divided by ((-3)\/f)\/(3\/45).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3807209311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (261\/5 + -2)*5*1. Let h = u + -247. Solve n + h*n = -15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -718816 * -2\nAnswer: 1437632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/8 and -53\/150386.\nAnswer: 601544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3031?\nAnswer: 7, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3471 - -3474. Let j(l) be the second derivative of l**2 + 0 - 3*l + 1\/24*l**4 + 1\/3*l**p. Solve j(d) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**3 + 2*d**2 - 16*d - 22. Let c(g) = 5*g**3 - 2*g**2 + 15*g + 20. Let s(o) = 4*b(o) + 5*c(o). List the prime factors of s(6).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/5))**(-20\/7) assuming k is positive.\nAnswer: k**(-12\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 42. Let j be i\/(2\/28 - 0). Let q(n) = -n + 14. Let o be q(-10). Calculate the highest common factor of o and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2321571 and 1764.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - y - 1)*(-y**2 + 0*y + 0*y) + 29*y**3 + 5 - 24*y**3 + 3 to the form o*y**2 + i + z*y**3 + t*y and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4188 and 3247704.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of 103*m**5\/20 + m**4\/6 - 7*m**3\/6 + 9*m**2\/2 - m + 29. Let d(x) be the first derivative of p(x). Is d(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 27 + 9. Suppose 2*j = 4*p - 16, -2*p + 0*j + 8 = 2*j. Calculate the highest common divisor of p and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 2*g = 384, -2*h + 192 = 187*g - 189*g. Calculate the smallest common multiple of 108 and h.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7736740 divided by -11?\nAnswer: -703340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2 + 16. Let f = 61 - n. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -62*r**4\/3 + 368*r**3\/3 - 240*r**2 + 448*r\/3 + 32\/3 = 0.\nAnswer: -2\/31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -233, -226, -215, -200?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 210832 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(605) + 0)**2 - (sqrt(180)*2)**2.\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1253*t - 1256*t = 12 + 21 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + g)*(g - 3*g + 3*g) - 135*g + 47*g**2 + 135*g in the form q*g + n*g**2 + i and give n.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.03 + 6.47. Let k = 3.5 + p. Let y = k - 9.9999997. What is y rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, 103, -31460, -3 in descending order.\nAnswer: 103, 4, 1, -3, -31460","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 11:00 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 4)*((-1 + 1 + 1)*(-2 + 4 - 4) + 1 - 7 + 2 - 3 - 8 + 3)*(y - 2 + 2) as j + b*y and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 19574?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**2 - 3*c - 5. Suppose 2*j + 843 = 839. What is h(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 48\/(-56)*14 + 54. Solve 52*z = 45*z - v for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 7*t = -0*m + 42, -22 = m + 4*t. What is the remainder when 254 is divided by (-112)\/(-24)*(-156)\/m?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 13*g + 21. Let o(p) = -9*p - 14. Let m(q) = -5*n(q) - 7*o(q). Let f be m(-6). Solve 4*c + 11 = -f for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 2*h + 9. Let p be 38\/8 - 2\/(-8). Solve p*f = -12 - h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:58 AM and 2:37 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2. Suppose 20 = 2*y + 2*y. Let z(q) = y*q - 7*q - q**2 + 2*q. What is z(g(h))?\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(8)\/sqrt(4) + 2.\nAnswer: -2 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267.742g in milligrams?\nAnswer: 1267742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2. Let p(c) = 3*c - 9. Let i(l) = -1. Let a(j) = -45*i(j) + 5*p(j). Determine a(y(t)).\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**5\/10 + 7*c**3\/6 - 3*c**2 - 10*c - 104. Let z(b) = -b**3 - b. Give i(n) + 3*z(n).\nAnswer: -n**3 + 4*n - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.0934688315269+0.4\nAnswer: 0.3065311684731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) 0.7 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 1) + (-80)\/20. Let s(p) = 6*p**3 - p**2 + p - 2. Let h be s(1). Suppose -22 + 18 = -h*k. Put -3\/2, w, k in ascending order.\nAnswer: w, -3\/2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70433.\nAnswer: 11, 19, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 - -57. What is the third smallest value in -0.3, v, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.04 (b) 0.099 (c) 3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*y = 140*y - 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -2. Let n = 151\/2 - 78. Suppose 2*k - 4 = 2. What is the biggest value in n, k, z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*8\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l - 2*l + l)*(l + 4*l - l) + (1 - 5 + 3)*(-5*l**2 + 2*l**2 - 8*l**2) to p + g*l + n*l**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {i: 4, r: 5, k: 7}.\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 1:50 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.2 (b) 1\/4 (c) -2.86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20820327?\nAnswer: 3, 11, 630919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*c - 941*c - 794*c.\nAnswer: -1409*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648) + -5)*5.\nAnswer: -25 + 90*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-120)\/(-546))\/5)\/((-1110)\/(-2405))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 241.56777 months?\nAnswer: 20.1306475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 - 204?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by (-2)\/(-7) + 61028\/532.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170 - 30 = -40*q. Solve -16 = -q*a + 3*g, 2*a = -0*a - 4*g - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57, -38, -213, -468, -803?\nAnswer: -1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3\/4, -1\/3, -0.03, -2, 6, -3\/2, -1\/3155?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 925406854?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -1018?\nAnswer: 2\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 2488473620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**5 + 276*d**4 + 573*d**3 - 834*d**2 - 1140*d + 1128 = 0.\nAnswer: -2, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 7:28 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/18 of a week in seconds?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -11, 13, -3 in increasing order.\nAnswer: -11, -4, -3, -2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 f when three letters picked without replacement from {g: 1, t: 6, z: 1, r: 4, j: 1, f: 3}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -5 (b) -0.3 (c) 45 (d) 12\/119 (e) -1.17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**3 + 5*p**2 + 2*p + 6. Let f be j(-3). Let v be (225\/(-10))\/f - 2\/4. What is the second derivative of 13*s + 18*s**2 - 49*s**v + 17*s**2 wrt s?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-720)\/16640*26)\/(237\/(-16)). Let w = 0.28 + 0.02. What is the second smallest value in w, -0.3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 j, and 1 o when three letters picked without replacement from {m: 1, j: 4, o: 1, g: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t - 5*t + 14*t**2 + 27*t**2 + 0*t - 7*t**2 as a + l*t + f*t**2 and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -128 divided by 1\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -9*t - 1. Let g be p(-1). Let y = 75 + -75.1. Let v = -0.26 - -3.26. What is the closest to y in 1\/2, v, g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.269 - 0.275. Let w = -1.93 + i. Round w to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1535 < -899?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from deeddedd.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3053*y + 3053*y + 11*y**2.\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 4) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 40192611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**3 - 356*d**2 - 75*d - 284. Let o be s(-71). Let z(h) = 24 + 11 + h**2 + 3. Let y be z(o). Calculate the greatest common factor of y and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-10))\/((-1)\/(-5)). Let o be (1 + z)\/(-4 - -3). Let p(g) = -g**3 - 5*g - 7. Let y be p(-2). Calculate the highest common factor of o and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 429 and 165.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70*p - 117*p + 7 + 53*p)*(4*p + 0*p - p) to the form m*p**2 + a*p + z and give m.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.1, 6015 in descending order.\nAnswer: 6015, 2\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llkkwlkkkkkklti. What is prob of picking 1 t, 1 w, and 1 l?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 28 - 8. Suppose -9 = -3*t + 6. Solve t*u = u + d for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) -0.14 (b) 0.1 (c) 5\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 1107.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 + 6*s - 248. Calculate m(0).\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - 1) + (-4 - 1) + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.52 - -0.52. Sort -5, r, 0.5, -1\/6 in decreasing order.\nAnswer: 0.5, -1\/6, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -3, -11, -7, 21, 85, 197?\n\"Answer: 2*x**3 - 6*x**2 - 4*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0208 plus -0.0044?\nAnswer: 0.0164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a meter in centimeters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -247, 4, 9, 0 in increasing order.\nAnswer: -247, 0, 1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3413230 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 84000 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 w when three letters picked without replacement from pddgtwt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -299 and -262.\nAnswer: 78338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/(-40)*12\/(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((180\/126)\/((-32)\/(-28)))\/((-7)\/140).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 63 and 180?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -21, -3, 0 in descending order.\nAnswer: 5, 1, 0, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_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: Suppose -508016 = -11*q + 859691. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (737\/9380)\/(22\/(-12))?\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w. Suppose 0 = 4*x + 7*c - 4*c - 3, 2*x - c = 9. Let b(i) = -x*i + 16 + 14 - 30. What is b(p(m))?\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/(-72))\/((-80)\/(-96)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooocoocooooocoooo. Give prob of picking 3 c.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*u - 11*u - 18336. Suppose 0 = -6*y + u - 800. Suppose 47 - y = -7*c. Is 93\/2 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (61\/(-2)*-1)\/((-2)\/(-12)). Suppose -3*b - 2*u = -x, 2*u + 53 = -0*b + b. Let m = 177 - b. What are the prime factors of m?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 809 is divided by 25.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - eb3?\nAnswer: -eb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17823 is divided by 1775?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = c + 9752, -36614 - 2436 = -4*b - 2*c. Is 3 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.6192, -4, -2, -7898, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 8 = 0, -3*p + 33 = -4*h + 4. Let v = p + -3. Solve 2*m - 2*z = 16, -z + 10 = v*m + m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t + 14. Suppose -4*l + 53 = 3*o - 18, -3*o + 43 = 2*l. List the prime factors of y(l).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 15 = 3. Suppose b*k + 32 = -31. Let y = 55 + k. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1. Let u(h) = h - 3. Let m(l) = -2*l**3 + 11*l**2 - l - 27. Let a be m(8). Let w = -356 - a. Give w*u(d) - 2*f(d).\nAnswer: -d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 110171, -3, -5, -144.\nAnswer: -144, -5, -3, 110171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 387 + 861 = 4*l. Suppose -160 = -2*r - 2*t, -r + 4*t + l = 3*r. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/1683 and -50\/51.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 673843 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-49)*l*l*l\/l**(-36)*l*l**(3\/23)*l\/l**(-4\/15)*l*l assuming l is positive.\nAnswer: l**(-1933\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1275 - 1331. What is the biggest value in -0.3, 1, u, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/2)\/(3*(-1517)\/74).\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -t + 5*t. Solve 3*p + 2*z - 14 = t, -z = -2*p + 4*p - 9 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxz when three letters picked without replacement from xcakxzxazxa.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 5*a + 4. Let k(x) = -10*x - 8. Let i(p) = -5*g(p) - 3*k(p). Does 15 divide i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g**2 + 2. Let w(x) = -4*x**2 - 3. Let h(u) = -3*v(u) - 2*w(u). Let b(f) be the first derivative of -1\/2*f**2 - 1 + 0*f. What is h(b(c))?\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12279146.\nAnswer: 2, 11, 53, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 12*h. Let v(l) = -2*l**2. Calculate v(i(p)).\nAnswer: -288*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8951020159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 0 - 3 = 0. Let p be (10\/(-4))\/(f\/(-30)). Let z = p - 7. What is the remainder when 33 is divided by z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 22 + 75?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (630\/(-245))\/((-6)\/532) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -154672*l - 773172. Calculate a(-5).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18088 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: Product of 136 and 0.05.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 532 minutes after 7:08 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 370.4275nm to centimeters.\nAnswer: 0.00003704275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 9.\nAnswer: 16\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - (-29 - (-16 - -13 - -8)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1733731.\nAnswer: 19, 91249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102042 (base 5) to base 16.\nAnswer: d45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4224344?\nAnswer: 2, 528043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 2*o + 4 = y, 3 = 3*y - 4*o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 1. Let f be (-10)\/4 - (l + -2). Let x be 135 - 135 - (-21)\/6. What is the closest to -0.1 in 0.4, f, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*k - 810 = -35*k. Suppose -3*w + 666 = 171. Calculate the highest common divisor of k and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 216, 281, 240, 39, -376, -1059?\nAnswer: -2064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 2\/15 (c) 0 (d) 6\/5 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f - 3. Let p(k) be the third derivative of -7*k**4\/8 - 7*k**3\/6 - 19*k**2. Let n(s) = 2*p(s) - 5*z(s). Suppose 4*r - 16 + 4 = 0. Calculate n(r).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 2*r - 34. Let y be z(-25). Suppose 0 = -5*m + y + 309. What is the greatest common factor of m and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**3\/3 - x**2\/2 - 2. Let g = 66 - 67. Determine s(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 242\/198 + 2\/(-9). What is the closest to 1 in 3\/2, t, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 7*g**4\/12 - 13*g. Calculate the remainder when 39 is divided by m(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 5*c**2 + 3*c + 5. Let f be u(-5). Let b = 15 + f. Find m such that -5*m**3 + 7 - 4*m**4 - m**b - 7 - 2*m**2 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27027.05 - 27027. What is the biggest value in -3, a, -5, 5\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w**2 - 2*w + 2. Let d(j) = 2724*j**2 - 5 + 3*j + 2*j - 1378*j**2 - 1359*j**2. Calculate -4*d(p) - 10*q(p).\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 73258297 and 1491.\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 7, -61, 0 in decreasing order.\nAnswer: 7, 0, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 7*c + 5. Let f(l) = -4*l - 2. Let t(s) = 3*a(s) + 5*f(s). Let p be t(0). Suppose 2*w = 4*u + 334, p*u = 3*w + 2*u - 504. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 35 - 6 + 11 - 10 - 12*v. What is the hundreds digit of s(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/3)\/((-25)\/150)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -248*b - 47. Is d(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186 = 2*c - 5*q, 0 = 6*c - 2*c - 5*q + 352. Let f be (3\/c)\/(777\/96 + -8). Let p = f - -4936\/747. Calculate the common denominator of p and -11\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12148 - 12127. Calculate the least common multiple of f and 3808.\nAnswer: 11424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 + 1360*o**2 - 10624*o.\nAnswer: -4*o*(o - 332)*(o - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -p**3 + 7*p**2 - 8*p. Let m be j(-11). Let n be (96\/m)\/((-4)\/(-30)). Solve 0 = 2*h + h, -3*x = 2*h - n for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, 561, 1691, 3847, 7371, 12605, 19891, 29571?\nAnswer: 41987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 bigger than 2\/92801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6929 - -6909.218. Let u = -0.182 - g. Let f = u + -20. Which is the nearest to -1\/3? (a) f (b) -1 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -0*h + 12, 0 = 6*b + 2*h - 18 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 2, 33, -29, 4 in descending order.\nAnswer: 33, 4, 2, -23, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q = 15*q + 5. Calculate the remainder when 4\/(-10)*-1*35 is divided by q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9551 - -28?\nAnswer: 9579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -6*o**2. Let y(c) be the second derivative of -127*c**4 + 7547*c. Determine d(y(p)).\nAnswer: -13935456*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 18*m**2 - 59*m - 136. Calculate t(13).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000479 to five dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1399 - -5507. What is the greatest common divisor of 468 and r?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/4)\/((-9)\/45*5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 6*v**2 + 4*v + 3. Let p = -2583 - -2577. Determine t(p).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1048 less than 0.6634079?\nAnswer: 1048.6634079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10) - sqrt(1440)*-2)\/(sqrt(4)\/sqrt(18)))**2 - (sqrt(320)\/sqrt(4) + sqrt(1620)\/sqrt(9)).\nAnswer: -10*sqrt(5) + 28125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 271 and 6?\nAnswer: 1626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33312, 33305, 33292, 33267, 33224, 33157, 33060, 32927?\nAnswer: 32752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/(sqrt(16)\/sqrt(4)))\/(-2*sqrt(11)*-6)*4.\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-7))\/(17\/(-238)). Suppose -w = 5*x - 19. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36e2ae (base 16) in base 7?\nAnswer: -42400543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 - -0.5.\nAnswer: -74.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216637115.\nAnswer: 5, 23, 773, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 32 = 7*z - 4*z, 0 = 4*z - 4*f - 32. Suppose -11 = -z*a + 1, -5*u + 3*a = -116. Solve 0 = -w - 4*w + u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 2\/803, -2, -1 in decreasing order.\nAnswer: 2\/803, -1, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (288*z + 217*z - 889*z)*(4*z**3 - 6*z**3 + 0*z**3).\nAnswer: 768*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((-2)\/(-2) + 0\/7). Let c = -2776 + 2782. Suppose 0 = -n + 5*m + 10 + 8, -3*n + 3*m + 18 = 0. Solve -2*l - q - c = n*q, -22 = u*l - 2*q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 6*w - 4*w - 26 = 0, -2*w - 10 = -4*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 303216 + 36440?\nAnswer: 342656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*u - 31*u**2 - 21*u - 15*u + 30 + 5*u**4 + 116*u**2 - 60*u - 35*u**3.\nAnswer: 5*(u - 3)*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1623 - -1622.9990488. Round x to 5 decimal places.\nAnswer: -0.00095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8072 is divided by 2690?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0054104 plus -69.4?\nAnswer: -69.3945896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 21, -1, -0.1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - d + 3)*(0*d + 0*d - d**2) + 34 - 34 - 2*d**3 - 15*d + (2 + 3 + 29)*(-5*d**2 + 2*d**2 + d**2)*(1 - 1 + 2*d).\nAnswer: -137*d**3 - 15*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t. Let l(n) be the first derivative of -3*n**2\/2 - 22*n + 78. Give l(i(j)).\nAnswer: -6*j - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 888 by -148.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + -36. Let x = i + 42.4. Which is the closest to -2\/3? (a) x (b) 0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 3*f**5\/20 + 11*f**4 + 461*f**3\/2 + 1131*f**2 + 10735*f. Suppose u(h) = 0. What is h?\nAnswer: -29, -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5\/(30\/4))\/(2\/9). Suppose 0 = 4*p - r*p - 5*l, 5*l = 0. Solve n + 4 = -p*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 39670*j**2 + 22206 wrt j?\nAnswer: 79340*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4065, -3606, -3147?\n\"Answer: 459*n - 4524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-27) + (-322)\/9. Let n = 18 + k. Let j be n\/(-81) + (-2)\/9. Solve 4 = -l - j*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 92 = 4*j. Suppose 0 = -3*c + 2*z + j, 2*c + 0*c - 25 = -z. Let n(i) = -38*i + 4. Let r be n(-2). What is the highest common divisor of c and r?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490146473 to the power of 1\/4, to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.04, -3, -16?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -47191 less than -511188799?\nAnswer: -511141608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*f - 10. Suppose -2*y = f*y - 100. What is the remainder when y is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3160277.6 + 3160257.5212074. Let q = 20.1068 + p. Let i = q - 0.028. What is i rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2736 + 5333. List the prime factors of f.\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15c54 (base 13) to base 7.\nAnswer: 232260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15.64 + -0.36. Let l = 15.32 + r. What is l rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -381921 or -381919?\nAnswer: -381921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(5)*3 + -2))**2 + (2 + sqrt(500)*-2)**2.\nAnswer: -128*sqrt(5) + 2200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2 - 669*x**3 + 2*x + 0 - 711*x**3. Let p be v(1). What is p rounded to the nearest one hundred?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1048217051 to the power of 1\/2, to the nearest integer?\nAnswer: 32376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1784*g**3*o**2 + 135*g**2*o**2 - 262*o**2 wrt g?\nAnswer: 10704*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -763, -58, 2, 0, -5, 12.\nAnswer: -763, -58, -5, 0, 2, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, y: 13}. What is prob of picking 4 u?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1918019977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57540116.\nAnswer: 2, 14385029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/1351 - 59454\/6755. Suppose 3*f + 17 = -37. What is the common denominator of g and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express g**3 - 2*g**3 - 7*g**3 + (3*g**2 - 2*g**3 - 3*g**2)*(-3 + 2 + 2) + 20*g - 3*g**2 + 139*g + 2*g**3 - 29 - 148*g as d*g + z*g**2 + l + w*g**3 and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 21*q + 734. Let x be d(-36). Let l(h) = -2*h**3 - 43*h**2 + 26*h + 23. Calculate l(x).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9877143l in millilitres?\nAnswer: 987.7143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15 - 0.15. Sort v, -3\/2, -4.\nAnswer: -4, -3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 29 (b) 0.16 (c) -3\/7 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10997706.\nAnswer: 2, 3, 647, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170856 is divided by 344.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59259626 is divided by 304?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-28533690)\/(-4) - (-15)\/(-30). Suppose -5*a = 5*w + 13799995, 2*a - 1613421 = w - z. Round a to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a04 + 164db?\nAnswer: 148d7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3778 + -4?\nAnswer: -3782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 418*s - 50. What is the tens digit of w(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 4)*(-11*y + 3 + 39*y + 7 - 5) in the form d + o*y and give d.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q - 22*q = -95744. Suppose -4*a + 4*v + q = -0*v, 5*a - 3480 = -3*v. Is a a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -2*v - 2*v. Suppose 10*t + 15 = 5*t - 5*h, -2*t - 4*h = 14. Calculate the common denominator of 103\/12 and (t\/(-40))\/(v\/(-1386)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 278404\/6897 less than or equal to 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.166149132 * 5.\nAnswer: 0.83074566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -13*p**2 + 101*p + 20. Determine w(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 148 = -3*z. Let g = z + -35. What is the least common multiple of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54677.\nAnswer: 7, 73, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-1 + 5 + sqrt(52)))**2 + -3.\nAnswer: 16*sqrt(13) + 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 5*t**2 - 7*t - 6. Let q be k(-6). Solve j + 2*j + 6 = q for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6389109781 + -6389109191.3222247. Let s = f + -585.67777. Let r = s - 4. Round r to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*u - 32*u - 30 = 0. What is the remainder when 23 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/3 - 3)\/((-10)\/(-120))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-35)*(-69 + 73). Which is the nearest to 2.24? (a) -0.1 (b) h (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110011001011 - 10011?\nAnswer: 110010111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - s + 15 = 1, i = s + 4. Suppose i*k - 3*k = 339. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 2*l + 198, b + 0*l + 51 = -2*l. Let q = b - -87. What is the highest common divisor of q and 304?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-24) - (13 + 104\/(-32)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**2 - 7*k + 7*k + (-83 + 83 - 4*k)*(-k + k + 2*k))*(-14 + 0 - 25).\nAnswer: 351*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26457561?\nAnswer: 3, 13, 226133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(1 - 1 - 4). Let i(l) = -l**2 - 2*l + 4. Suppose 2*q + 2*q + 38 = y, -4*q = 3*y + 30. Let m = q - -10. Let z(h) = 1. Determine m*i(n) + o*z(n).\nAnswer: -n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 691\/154 + 1\/77. What is the common denominator of n and -19\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s**2 - 18*s - 19. Let n be x(9). Let j = n - 70. List the prime factors of j.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -386*c - 6460 = -1126*c - 23480 for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -16. Suppose 5*o + 77 = j*p + 20, -5*p + 5*o + 120 = 0. What is the third derivative of -p*n**2 + 8*n**3 + 13*n**2 + 10*n**2 wrt n?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3)\/k**11)**(-38))**(21\/5) assuming k is positive.\nAnswer: k**(11172\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66 - 132*b**2 - 72 - 71 - 200*b**2 + 211.\nAnswer: -332*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 + m**2 + 19*m - 38. Give w(-5).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7039\/60 - -356\/3. Calculate the common denominator of w and -29\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108810 is divided by 339?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 105 and 60?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 2*f**5\/3 - 8*f**4 + 38*f**3\/3 + 8*f**2 - 40*f\/3 = 0?\nAnswer: -1, 0, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 6 = 10*w, 3*f + 34 = -22763*w + 22759*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 65 and 50.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -135*j**3 - 5*j + 1509.\nAnswer: -405*j**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j + 2. Let l = 13 - 8. Let g be a(l). Suppose -2*t + s - 12 = 0, 2*s + 2*s = -t + g. Put t, 3, 2 in increasing order.\nAnswer: t, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0046295 to 5 dps.\nAnswer: 0.00463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*l + 149928, 0 = 5*l + 4*f + 2445 - 189810. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2275 (b) -0.13 (c) -1\/5 (d) 1.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (24\/56)\/(5\/(-7))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.3 + -9. Let x = 1995 + -1994. Which is the third smallest value? (a) z (b) x (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -4*j + 6, -2*j - 45 + 49 = -2*v for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = z + 1. Suppose 0 = -z*q - 0*q + 9. Let d(u) = -4*u**2 + u - 1. Let r(s) = 11*s**2 - 2*s + 2. What is q*r(p) + 8*d(p)?\nAnswer: p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 182423644?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j - 2. Let y be x(8). What is the highest common factor of y and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m**2. Let b(v) = 51296858*v - 51296858*v + 59*v**2 - 262*v**2. Give q(b(d)).\nAnswer: -329672*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -219\/7 or -32?\nAnswer: -219\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/18 + 4971\/(-18). Let d = t + 274. Let a(w) = 5*w**2 - w. What is a(d)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -305, -348, -389, -422, -441?\n\"Answer: w**3 - 5*w**2 - 35*w - 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*a**3 - a**3 + a**3 + 0*a**3 + 4*a**3 - 6*a**3 + (2*a**3 - 4*a**3 + 0*a**3)*(-4 + 0 + 2) - 2*a**2 + 2*a**2 + 2*a**3.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 11\/1 + 2\/(-1). Let f be (-10)\/(-5) + r\/(-1). Let c = 23 + f. What is the lowest common multiple of 34 and c?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -467 - -466.8654. What is w rounded to three dps?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 212 + -201. Suppose -2*o = -h*o + 972. Is o a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 6, 13, 16, 9, -14, -59?\n\"Answer: -w**3 + 4*w**2 + 2*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 g when two letters picked without replacement from {c: 1, h: 1, g: 1, k: 3, f: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 717*c**2 + 674*c?\nAnswer: 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 35 = -4*p, 11 + 12 = -2*p + 3*m. What is the second smallest value in p, -1\/2, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2340913 and 469.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of l**8\/28 + 4*l**7\/15 - 7*l**6\/15 - 12*l**5\/5 + 43*l**4\/6 - 20*l**3\/3 - 139*l**2. Suppose g(k) = 0. Calculate k.\nAnswer: -5, -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89251787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7101865.\nAnswer: 5, 1420373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 5*i**2 + 17*i - 15. Let r be k(-9). Let g = 314 + r. Does 55 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -802048 (base 9) to base 13\nAnswer: -137915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2\/4 + 5903*w\/2 - 34845409\/4.\nAnswer: -(w - 5903)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -721*n + 360*n + 363*n = -2*z - 4, 4 = z - 2*n for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43 + -42. What is the second smallest value in -5, -0.06, -2\/3, r?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.4, 0.08, -5\/18?\nAnswer: -5\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 6*f - 12. Let k be 9\/15 + f*35\/(-100). Solve 5*v - r = 14, r = -4*v + k*r + 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 550.001439 + -550. What is z rounded to 4 dps?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 divided by -175758\nAnswer: 43\/175758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*m + 56*m - 323 = 0. Calculate the highest common factor of 19 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lcc when three letters picked without replacement from cclclccclllclccccc.\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 v when two letters picked without replacement from vavannvav.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 3:01 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*g - 218*g + 600 = 0. Let l be (-12)\/(-36) - (-3658)\/6. Calculate the greatest common divisor of l and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15591872.52us to weeks.\nAnswer: 0.0000257802125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 5*y - 30, 0 = 3*y - 2*y - 5*f - 22. Suppose y*s = -10, 2*u - 13 + 44 = -5*s. Which is the nearest to 2? (a) u (b) 1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6) - (-40)\/(-15). List the prime factors of ((-36)\/t)\/((-4)\/(-8)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + -2)*(-28)\/12. Suppose r = 3*t + 1. Solve 0 = t*n - 3*x - 2, -16 = -2*n + 5*n + 5*x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 81 = -31. Suppose 2*u = h*u + 70. Let s(m) = m. Determine s(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/6 and 31\/4430.\nAnswer: 13290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.23767us in nanoseconds?\nAnswer: 43237.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**3 + 19*j**3 - 146*j**3.\nAnswer: -119*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 8*t**3 - t**2. Let o be r(-2). Let p = -31 - o. What are the prime factors of p?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.4 - 21. Let n = -8.4 + v. Which is greater: -0.1 or n?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6364, -25480, -57340, -101944, -159292, -229384, -312220?\n\"Answer: -6372*o**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 125171 to the power of 1\/2, to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -23. Suppose 4*b = 76 - q. Suppose -5*c + 4*g + 186 = 0, 3*c + 0*g = 2*g + 112. Calculate the remainder when c is divided by b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*n + 3*n - 3*n)*((-1 + 1 + 3*n**2)*(n + n + 0*n) - 4*n**3 + n**3 + 4*n**3) in the form i*n**3 + a + h*n**2 + c*n**4 + j*n and give c.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 - 517155729.678.\nAnswer: -517155728.778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0422967 rounded to 2 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -72 + 21*r + 5*r + 2*r**3 - 15*r + 17*r + 22*r**2 + 20*r.\nAnswer: 2*(r - 1)*(r + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 8*x**2 - 5*x - 7. Let p(k) = -6*k + 8*k - 6*k + 7*k**2 - 6. What is -5*d(y) + 6*p(y)?\nAnswer: 2*y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 20 (b) -1\/8 (c) -1.28 (d) -175 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 106d6 (base 15) to base 12\nAnswer: 26240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 + 99. Let f(x) = -13*x + h - 13. Let p(i) = 3*i**2. Give p(f(o)).\nAnswer: 507*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8665 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 - 40 = -6*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 22*g**3 - 4*g**2 - 4. Let n(q) = -45*q**3 + 7*q**2 + 7. Give 7*b(x) + 4*n(x).\nAnswer: -26*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -18. Suppose -d*g + 18 + 42 = 0. Let j be (g\/15 + 0)*187500. Round j to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 628, 897, 1090, 1171, 1104, 853, 382?\nAnswer: -345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 242 and 132?\nAnswer: 1452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and ((15\/6 - 2) + -5)*-2.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10958596, 21917191, 32875786, 43834381, 54792976?\nAnswer: 65751571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3818683, 15274724, 34368125, 61098886, 95467007, 137472488, 187115329?\n\"Answer: 3818680*k**2 + k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -9) + -15 + 17?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-10\/3)\/s)**23 assuming s is positive.\nAnswer: s**(-230\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 415 + -232. Suppose -i = 465*r - 468*r. What are the prime factors of r?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2728 and 1674?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2380 divided by 68.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 76 = -2*w, 116*w - 117*w = 2*z - 49. Solve -3*q + 12 = 0, 2*i + 28 = z*q - 17*q for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 14*b**2 + 0*b + 0 + 1\/24*b**4 + 3\/2*b**3. Calculate k(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 168*o + 1063*o + 2 + 762*o to the form w + x*o and give x.\nAnswer: 1993","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/10065 and 28\/45.\nAnswer: 30195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-eight thirds of a week?\nAnswer: 94080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -3537*c**6\/10 + c**3\/6 - 1483*c**2 + 11191*c. Find the second derivative of l(w) wrt w.\nAnswer: -127332*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/10*(-300)\/(-80))\/((-132)\/(-64)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55239149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 110526 by -36842.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 5*y = 0, 116*t + 4 = 114*t - 3*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 20970432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/(w\/w**(-1\/8)))\/((w\/(w**6\/w))\/(w*w*w**(1\/2)*w)) assuming w is positive.\nAnswer: w**(51\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*v - 1, -v - t - 10 = -5. Let i(l) = l**2 - 17. List the prime factors of i(v).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 3:04 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -388.00349 + 388. What is r rounded to 4 decimal places?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 2*n**2 - 7*n + 1. Let v(x) = -2*x + 3. Let t = -11 - -15. Let f be t + (-3 - 4\/(-1)). What is f*v(i) + 2*z(i)?\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.461 in -0.3, -5, 0.3, -13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22524*h**3*v**3 + 70239*h**3*v**2 - 3*h**2 + 269*h*v**3 + h*v**2 - 4*h*v + 5 wrt v.\nAnswer: 135144*h**3 + 1614*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 34152561 - 552561 = 0. Round t to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (5 + -4)) + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 5*p + 5. Let z be f(4). Suppose 0 = 3*g + c + 12, 5 = -g - c + z. Let r be (-2)\/g*(9 - 1). Solve 3*q + 5*h + 16 = q, -4*h = -4*q - r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 = 45*i - 31*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = k - 25, -277*k - 20 = -278*k - 304*t + 307*t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 + 5*k**2 - 8*k - 9. Let m(i) = -i**2 + 7*i + 24. Suppose x = s - 11, -5*s + 2*x + 52 = -0*s. Let w be m(s). Determine r(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 714 and 166.\nAnswer: 59262","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -4. Let z = 26 + -26.5. Which is the biggest value? (a) 4 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r - 4. Let i = -678 + 679. Let q(v) = v + 1. Give i*f(u) + 3*q(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -31030506 (base 7) to base 3\nAnswer: -11212212200020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -38*i + 381 - 67 - 86 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 0*d - 18*d = -180. Let t(w) = w**2 - 13*w - 28. What is t(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 2*s**2 + 8*s + 1. Let j(f) = -13*f - 4. Let u(i) = 53*i + 16. Let d(p) = -4*j(p) - u(p). Suppose -3*l + 8*l = 70. Calculate l*d(t) + 2*x(t).\nAnswer: 4*t**2 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 27 + 12. What is the third derivative of -2*z**2 - 2*z + 3*z - 10*z**2 + m*z**4 wrt z?\nAnswer: 936*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*d + d - 2*d)*(d + 0*d + 0 - 1) as g + a*d**2 + q*d and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19 in -1\/1095, -3, 0.5, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(7) + sqrt(7) + -2 + sqrt(1008)*-2 + 3.\nAnswer: -22*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 495 or -604\/3?\nAnswer: -604\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14 - -501905886\nAnswer: 501905872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2021161899?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1239 + 0.0361. Which is the second smallest value? (a) -0.2 (b) 5 (c) s (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/1240 and -97\/1617456?\nAnswer: 8087280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 - -1170. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/5 + 28*s\/5.\nAnswer: -2*s*(s - 14)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 2*f - 7 = 0, 3*o - 26*f + 28 = -21*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -360*w + 18496 = 605*w + 57096 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 5*n - 7 - 35 = 0, 0 = 5*h - 2*n - 39. Solve 0 = 3*w + 3*z - 4*z - h, -2*z = 2*w - 14 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 14c69 + -71?\nAnswer: 14be8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*i + 4*i + 3*i to q + v*i and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95890, -95969, -96048, -96127, -96206, -96285?\nAnswer: -96364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -6 - 9. Let q be 3\/(n + (-9)\/(-6)). Let s(w) = 7*w + 27. Let c be s(-3). Put q, -5, c, -1 in increasing order.\nAnswer: -5, q, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010000010 (base 2) to base 7\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 2*g**2 + 24*g - 17. Give l(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -7*k**2. Let o(b) be the second derivative of -3*b + 0*b**2 + 0 + 1\/6*b**3. Calculate i(o(j)).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 235\/18?\nAnswer: 235\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2983 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*v**3 + 8*v**3 + 7*v**3 - 25*v**3.\nAnswer: -3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 5. Calculate m(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10134 at most 10134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of -u**5\/12 - u**2 - 3. Let v(j) be the second derivative of k(j). Let m(q) = -9*q + 21*q - 13*q. Calculate v(m(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1 - (4 - (10 - -8) - -8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 10:59 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8510)\/(-253))\/(-37)*11*1*-2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1227675 to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -20, -96 in ascending order.\nAnswer: -96, -20, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.049776358 rounded to 3 dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/29)\/o)\/(o\/(o**(-17)*o)))\/(o\/((o*o\/(o\/o**(-17)*o))\/o*o)*o*o\/(o\/o**(-16))) assuming o is positive.\nAnswer: o**(-607\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 2, 3\/4, 13 in descending order.\nAnswer: 13, 2, 3\/4, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*a + 48 = -99*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 146 divide 12987430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 26730\/675 + (-6)\/2. Which is smaller: r or 37?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - -0.15. Sort w, -3, -0.1.\nAnswer: -3, -0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**2*b**2*o**2 - 3*a**2*b*o**3 - 157*a**2*b*o + 56*a*b**2*o**3 + 5*a*b**2 wrt o?\nAnswer: -18*a**2*b + 336*a*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express m**4 - 858 + 2*m**2 - 271*m**3 - 2*m + 349*m**3 + 861 as k*m**3 + n + d*m + o*m**4 + z*m**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1905863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 184.\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 388.7 from 8.5.\nAnswer: -380.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -52*f + 1604. Calculate v(31).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -123 + 125. Suppose h*d - 80 = -2*p - 2*d, -3*d - 215 = -4*p. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2))\/((340\/(-5))\/(-68))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8498059?\nAnswer: 373, 22783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.07, 1, 2\/5 in ascending order.\nAnswer: -5, 0.07, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/66 and -2 - 40\/(-18) - (6276380\/148104 - 42).\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.6 in -0.2, 0, 24.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*o = 18*o + 3. Let k(t) be the third derivative of 0*t**5 + 0*t + 0 + 0*t**4 - 1\/6*t**o - 1\/60*t**6 - t**2. Differentiate k(d) wrt d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 6) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 119678, 119692, 119720, 119768, 119842, 119948?\nAnswer: 120092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -76 + 161\/2. Let h = w + -23\/6. Let f = -0.3 + 0.4. Which is the closest to h? (a) 1\/4 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -z**7\/1260 - z**4\/12 + 3*z. Let p(d) be the third derivative of h(d). Let u(n) = n**2. Determine u(p(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1043016 and 2496?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 144508465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3584827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.8176 plus -9973?\nAnswer: -9951.1824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 6 = 4*v, 0 = -2*r - 3*v + 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1813*h**3 + 7578*h**3 + 3950*h**3.\nAnswer: 13341*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/14)\/((-42)\/2940*10).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*x + 4*h - 30, 0*x = 5*x - 3*h + 5. Suppose 3*c - 106 = -2*c - 4*m, c + x*m = 26. Is c a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38038 = 479*l - 490*l. Does 30 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312*f = 314*f + 2*a - 66, 5*a = 2*f - 59. Suppose -2 = 5*o - 42. Calculate the highest common divisor of o and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (4\/(-6))\/((-32)\/912)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + 4*h**2 + h - 3. Let z be b(4). Let m(c) = -4 - 5*c + 3 + 9 - 4. Let y be m(z). Let n(d) = 11*d. Give n(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 0*p**3 + 22*p**2 - 23*p**2 - p**3 + 1. Let f(q) = -3*q**3 - 5*q**2 + 4. Calculate -f(l) + 5*r(l).\nAnswer: -2*l**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3 = s - 7*b, 2*s + 5*b + 15 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 8:10 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s = -14*s - 8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 - 86 = 2*q - 2*f, 5*q - 29 = -2*f for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 6*a**2 - 2*a - 9. Let h be w(-6). Suppose 2*g = -j + 12, -4*j = h*g + 2*g - 30. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 + c**2 - c - 2. Suppose -9*p - 2 = -11. Let g(r) = -r**3 - r**2 + r - 1. Determine p*i(u) + g(u).\nAnswer: -2*u**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6 = 6. Let g = 0.45 - 0.05. Let a = 1.95 - 1.95. What is the second biggest value in a, g, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56789 is divided by 8111?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 28 = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 371666?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o\/(o**(1\/26)*o))\/o)\/o)\/o**(-8) assuming o is positive.\nAnswer: o**(181\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -47*o. Let q(n) = -n. Let v(u) = -20*u. Let h(j) = -15*q(j) + v(j). Determine h(x(l)).\nAnswer: 235*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from tttycyy?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 498*q + 0 - 540*q + 0 to the form d*q + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v\/((v**(-3\/10)\/v)\/v))\/v*v**5)\/(v**(5\/6)\/(v*v**4)))\/((v**(1\/2))**0*(v\/v**(1\/4))\/v*v**7) assuming v is positive.\nAnswer: v**(343\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11714?\nAnswer: 2, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -3, 3*r = 2*f + f - 93. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**3 + 0*v**3 - 4*v**2 + 2*v**2 + (2*v**2 + v - v)*(2*v - 2*v + v) - 2*v + 2*v + 11*v**3 + (v - v + 2*v)*(-4*v**2 - 2*v**2 + 3*v**2).\nAnswer: 8*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 4) in base 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -58 + 60. Sort 3, 5, q.\nAnswer: q, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -164 and -162 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-9))**(-25))**(-16) assuming a is positive.\nAnswer: a**(-3600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.0123?\nAnswer: -0.00615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 2. Let u be (z\/2)\/((-20)\/8). Let b = -0.53 - -0.93. Sort b, -5, u in increasing order.\nAnswer: -5, u, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -0.7 (c) -13 (d) 16 (e) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d + 155*d**3 - 92*d**3 + 26*d**3 as y*d**2 + o + q*d + m*d**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2038107057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 5:42 PM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**3 + 13*z**2 + 10*z + 20. Let d be x(-6). What are the prime factors of (-6 + -2 - d) + 5670\/7?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 5*h**2 - h - 2. Let t be s(4). Which is greater: t or 7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v - 35. Let m be q(-7). Find t such that 1\/5*t**3 + m*t + 0 - 1\/5*t**4 + 0*t**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 2*j - 1\/6*j**4 - 1\/6*j**3 - 3\/2*j**2 + 0. Let t be (-8)\/3 + 2\/(-6). Let w(r) = -2*r**2 - r - 4. Calculate t*w(z) + 4*d(z).\nAnswer: -2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2587*r**2 - 52*r + 1292*r**2 + 1294*r**2 + 4 + r**2 - 4 + (-r**2 + 4*r**2 - 2*r**2)*(1 + 2 - 1).\nAnswer: 2*r**2 - 52*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 15*t - 1. Let j be f(-2). Let v = 36 + j. List the prime factors of 270\/v + (-1)\/((-1)\/(-2)).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -77 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6*-6 - 5\/4. Is 0 less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 2606?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from piiioioiopiipo. Give prob of picking 1 o, 1 i, and 1 p.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38137*l**5 - 34*l + 46 wrt l?\nAnswer: 762740*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1970474 is divided by 13314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**(6\/11)\/((p\/(p\/(p**(1\/4)\/p*p*p)))\/p)**(-5\/7)*(p**(1\/9)*p*p\/p**(2\/11))\/(p*(p*p\/(p**(-2)*p))\/p*p*p*p*p**(2\/21)) assuming p is positive.\nAnswer: p**(-1363\/396)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.4+115019206036\nAnswer: 115019206035.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4547 is divided by 91.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24.03 + 24. Let h = -16248 - -16247.9. What is the biggest value in h, -0.5, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 26.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**3\/c))\/(c\/c**(-1\/18)))\/(c**(-9\/7)*c**20) assuming c is positive.\nAnswer: c**(-2617\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -4 + 13. Suppose -o*w + 7 = -2*r, r = w + 2*r - 4. List the prime factors of w\/(2 + (-28)\/16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 6\/25 of a milligram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, h: 5, w: 1, p: 1, t: 1, b: 3}. Give prob of sequence po.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 8*c - 1. Let h(u) = 4*u**3. Let o be h(c). Solve 7*j - o*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 750*a**2 + 3*a*z - 2*a + 37572*z wrt a?\nAnswer: 1500*a + 3*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/518 in -19.4, -0.1, -1\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the first derivative of k**4\/4 + 14*k**3\/3 + 15*k**2\/2 + 25*k - 163. Let v be b(-13). Let w(y) = -8*y**2 - 2*y - 1. Give w(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 + 0 + (-282 - -277).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 0, -4, -8.22, -5, 44?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a microgram in nanograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 189*a - 763*a + 191*a + 193*a + 192*a.\nAnswer: 2*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 9. Let n be o(-2). Suppose -n*p = -4*p + 3. Let m = -2 - -1.8. What is the nearest to m in 0, p, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + -1 + sqrt(468) + (sqrt(468) - (0 + sqrt(468))*4 - sqrt(468))**2.\nAnswer: 6*sqrt(13) + 7481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3766586238 to the nearest integer?\nAnswer: 1556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 74.6 * -862.\nAnswer: -64305.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -12. Suppose 54 = m*v - 50. Is v a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**4\/a*a)\/a**(2\/9) assuming a is positive.\nAnswer: a**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-12)*d*d\/(d*d*d**(-5))*d)\/(d**(-3\/5))**(-3\/25))**43 assuming d is positive.\nAnswer: d**(-32637\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 19987*x + 52*x**4 - 19987*x - 6*x**4 + x**4 + 2*x**4 + (3 - 2*x - 3)*(-x**2 + x**2 - x**3) in the form d*x**2 + i*x**3 + p*x + f + j*x**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.4 + 29.6. Let w = m - 37.82. Round w to two dps.\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1903, -9, -0.07, -1, 4?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/278342271 and 1\/340196109?\nAnswer: 3061764981","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -5 (c) -20 (d) -1 (e) 50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 211\/4729140 and 60\/4277.\nAnswer: 33103980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -7, 809 in descending order.\nAnswer: 809, 1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*v + 4*v, 4*h = v. Let j be -2*1*(-2)\/4. Let u = j - -2. Solve u*m + m + 12 = v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 4*g + 54 = 0, 4*f - 64*g - 20 = -63*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-9) + (0 - 16\/(-72))?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28.6 + -2.9. Let j = h - -16.3. Let u = j - -15. Put -2\/13, u, -1 in decreasing order.\nAnswer: -2\/13, u, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of v**3 - 28*v + 349?\nAnswer: 3*v**2 - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -2\/767199397?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -104*r + 103*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 19?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 4*n = -23, 2*n = -d - 1 + 2 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, f: 1, z: 10, r: 1, n: 1}. What is prob of picking 1 n, 1 f, and 1 o?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*c - 3*q, 15*q = 5*c + 17*q - 19. Suppose 0 = 2*m - x - 42, -69 = -2*m - 5*x - c. What is the highest common divisor of m and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6)*495\/(-660).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 0*s**2 + 3\/5*s**5 - 6*s + 0 + 5*s**3 + 0*s**4. Find the second derivative of i(m) wrt m.\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14085 (base 9) to base 2.\nAnswer: -10010101010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 5622, 0.059 in increasing order.\nAnswer: -0.5, 0.059, 5622","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 259 - 259 + 3*k.\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 506416?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -33712*d + 1517042. Give o(45).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2696074303 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s - 9. Let o(m) = -m + 4. Let d be -6*((-28)\/(-12) - 2). Let f(i) = 5*i - 16. Let y(w) = d*f(w) - 9*o(w). Determine -2*v(n) + 5*y(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -583, -1919, -4145, -7261, -11267, -16163?\nAnswer: -21949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14933735 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 5*p - 5*p)*(-4*p**2 + 2*p**3 + 4*p**2) - 391*p**3 + 176754*p**5 - 176743*p**5 - 320*p**3.\nAnswer: 7*p**5 - 711*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8821 - -12925. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t - 23. Calculate j(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 9) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 - 3 + 5*i**2 - 3 + 11*i - 2*i. Let z be b(6). Suppose -27 + 75 = 4*f. What is the greatest common factor of f and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n**3 + n. Let p(x) = -7*x**3 - 47*x**2 - 5*x. Give -5*a(f) - p(f).\nAnswer: -3*f**3 + 47*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32886.2542 rounded to the nearest one thousand?\nAnswer: 33000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 320544 and 3816.\nAnswer: 320544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22240519811 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -30334557.\nAnswer: -1\/10111519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dld when three letters picked without replacement from llllrldlrrrdl?\nAnswer: 7\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/10823 and 22\/237.\nAnswer: 32469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -141*-0.415\nAnswer: 58.515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 567 + -578. Let z be (11 + o)*1\/2. Solve z*h = 3*h - 6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-16)\/6*(-27)\/18. Suppose c*j - 5*z = 55, 8*j = 5*j + 4*z + 41. Solve 5*o + 2*x = -3*x + j, 0 = o + 4*x - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 11 + (9 - (10 - -13 - 10))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**2*t**2 - 2*k**2*t - 4425*k**2 - k*t**2 + k*t + 140*k - 2*t**2 wrt k.\nAnswer: 4*t**2 - 4*t - 8850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 733334859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/13, -3, -34 in ascending order.\nAnswer: -34, -3, 0, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 387 = 4*m, 0*m + 315 = 4*n - 5*m. Calculate the highest common divisor of 30 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-192)\/(-40) + (-2)\/(-10). Let o be ((-4)\/(-15))\/((-6)\/s). Put o, 1, 0 in increasing order.\nAnswer: o, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -4060*x**2 + x + 3988*x**2 - x. Let p(k) = -k**2. What is p(q(a))?\nAnswer: -5184*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-109)\/(-35) - 26\/(-91))\/((-388)\/776)\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-4))\/((-52)\/(-2912)). Solve -31*n = -i*n - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -f - 9. Suppose -3*b - 2*d = -87, -4*d - d = -2*b + f. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 2 + (3*(-3*sqrt(153)*-2 - sqrt(153) - 1*(0 + sqrt(153) - sqrt(153)))*-2)**2.\nAnswer: 137701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/15, -1, -89, 1, -11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-6)\/(-962) + 2. Is 1 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -4*r**2 - 208*r - 1408 = 0.\nAnswer: -44, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6894\/5 greater than 1378?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101101010100 - 1?\nAnswer: 101101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010010001 + -1001000?\nAnswer: 10001001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a60521 (base 11) in base 13?\nAnswer: 111704c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/17)*v\/(v**(1\/3)*v)*(v*v\/(v\/(((v\/v**(-5)*v)\/v)\/v)))\/v*v**12 assuming v is positive.\nAnswer: v**(856\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1182887040?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 736, -27, 4 in descending order.\nAnswer: 736, 4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004998603465 to 7 decimal places.\nAnswer: 0.0049986","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -36 + (-58 + 38 - (-12 - -5))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 42*v**2 - 179*v + 7 - 2.\nAnswer: 42*v**2 - 179*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628*l**2 - 9 + 9.\nAnswer: 628*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5107039 nanometers to centimeters.\nAnswer: 0.00000005107039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 13*f + 6*f.\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - p = 865, 60 = -4*h - 4*p - 616. Let j = 74 - 121. Let g = j - h. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**4\/5 - 36*v**2\/5 + 48*v\/5 = 0.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 0)\/(-2) + -7. Let l = 11 + m. Suppose 24 = -3*w + 5*w. Solve q - p = 5*q + w, 9 = -3*q - l*p for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -4*d**3 - 6*d**2 + 7*d + 5. Let z be l(-5). Suppose 5*g = 9*g - z. Let u = 128 - g. What is the greatest common factor of 12 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = -5*s. Let q = 4 - 1. Suppose s = q*l + 4*f - 40, 0 = -f - 1 + 2. What is the highest common factor of l and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/268 in -0.3, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1532541 (base 6) to base 14.\nAnswer: 24b6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004167628 to 7 decimal places.\nAnswer: 0.0000417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 257, 2159, 7317, 17357, 33905, 58587, 93029?\n\"Answer: 271*i**3 + 2*i**2 - i - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 3*g**2 + 7*g - 7. What is t(-3)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18786 to the power of 1\/2, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwwq when four letters picked without replacement from nwqqwwwqqnq?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 4*o = 8, -r - o + 0 - 2 = 0. Suppose r = -3*k + 4*k + 4. Let t(b) = -b**3 + 11*b**2 - 5. Let j be t(11). Put j, k, 0 in descending order.\nAnswer: 0, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 615043*j**2*l*q**2 + 106*j**2*l*q + 2*j**2*l + j**2 + 2*j*l*q**2 + j*l*q - j*q + j - 2*l*q**2 + 1137*q wrt q?\nAnswer: 1230086*j**2*l + 4*j*l - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 6*m = -m - 21, 3*m = 3*c + 111. Let x = 80 + c. Let z = x + 101. Calculate the greatest common factor of 14 and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4*(0 + -1). Let u = 0.6 - 1. Which is the nearest to 1\/3? (a) l (b) 2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 31267 - 0.3.\nAnswer: 31266.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t**2 - 79*t - 48. Let l be p(27). Solve l = -3*v - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 u, and 1 a when three letters picked without replacement from mabmddmmmdyau?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -79*n - 50181 + 50339. Factor -2\/19*r + 0 + 2\/19*r**5 + 4\/19*r**n - 4\/19*r**4 + 0*r**3.\nAnswer: 2*r*(r - 1)**3*(r + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1194 and -21\/304.\nAnswer: 181488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/((sqrt(81)\/sqrt(9))\/sqrt(3)) + 4 + 4 + (sqrt(27)\/sqrt(9) - sqrt(3)).\nAnswer: sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/15631 at least as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g - 2. Let s be (-12)\/54 - 7\/9. Let b = s + 5. What is the remainder when l(-2) is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 3*b**2 - 41*b + 12. Let s be l(8). Calculate the remainder when 10\/s - 4\/(40\/(-1675)) is divided by 43.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 1 + 13\/(-65) - 2553\/(-2415)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 a when three letters picked without replacement from vavaaaaavaaaaa.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1116548*z**3 - 27*z - 100327444?\nAnswer: 3349644*z**2 - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 7:47 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -61*z**2 + 39 + 23*z + 62*z**2 - 8 + 49 + 19. What is b(-18)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -175*y**4 - 2*y**2 - 20*y wrt y.\nAnswer: -4200*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 13, 10116 in increasing order.\nAnswer: -3, 13, 10116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is eight fifteenths of a day in minutes?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.84 - 17\nAnswer: -17.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -590 + 1187 + 7*k + k**2 - 609. What is r(-7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1359173 + 1493372. Let y = -2852543.9999974 + k. Let h = 1 - y. Round h to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 50 and 5475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.9 and 776.618.\nAnswer: 778.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 687 and 45035369?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxta when four letters picked without replacement from xhhaaht?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.159 + -0.259. What is the closest to y in -5, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (44\/(-1430))\/(1\/(-5) - 0). Let r = -0.4625 - -0.0625. Sort g, -20, r in increasing order.\nAnswer: -20, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-3 - (4 - (-1 - -3)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-126)*7 - (17\/(-6))\/(25\/100)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2*g + 7. Let q(z) = -z + 1. Determine -f(b) + 5*q(b).\nAnswer: -3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11166 + 737 = 181*z + 681 for z.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.3108 - 1.\nAnswer: 1.3108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - (3 + 12)) + -4 + 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/102142?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -2*u**2 + 10*u - 4. Let b be d(4). Solve -3*f = 8 + b for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.3 (b) -0.1 (c) -2.3 (d) 83 (e) -4 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5 + (sqrt(132)\/sqrt(588) - sqrt(1584)*-3))**2*-2*3.\nAnswer: -4231699\/49 - 15180*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -259656 times 2?\nAnswer: -519312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 630082093 to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -6. Let o(r) = r**2 + m*r**2 + 2*r**2. Let v(s) = -3*s**2. Determine v(o(g)).\nAnswer: -27*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206.2, 5, -1, -30\/53 in descending order.\nAnswer: 5, -30\/53, -1, -206.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**4\/9 + 10*l**3\/9 - 2*l**2 + 14*l\/9 - 4\/9.\nAnswer: -2*(l - 2)*(l - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**2)**(3\/19))**(10\/7)*(((b*b**(-7))\/b)\/(b*b*b**(-1)))\/((b\/(b\/b**1))\/(b*b**(-3))) assuming b is positive.\nAnswer: b**(-1373\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 + n**2 - 2*n**2)*(3*n**2 + n**2 - 2*n**2) - 27209*n**4 - 13*n**3 - 54*n**3 + 83*n**3 - 16*n**3.\nAnswer: -27211*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -381390 and -381388 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51980?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 14) to base 12\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 569398055 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252768 + 13422 + 602938 = 61*d. What are the prime factors of d?\nAnswer: 2, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14820247 by -1.\nAnswer: -14820247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 90912775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 121320 - -212?\nAnswer: 122132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 19. Let p = 0 - a. What is the highest common factor of 8 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 733*c**2*p**2*t - 10*c**2*p*t + 15*c**2 - 3*p*t wrt p?\nAnswer: 1466*c**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 20*z - 2. Let j(u) = -60*u + 6. Calculate -3*j(w) - 10*v(w).\nAnswer: -20*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3630*h**2 + 57*h - 114. Let b be p(-38). Round b to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/9 - 8\/9*n**3 + 4\/9*n**4 + 8\/9*n + 0*n**2.\nAnswer: 4*(n - 1)**3*(n + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + (-9)\/(-6))*116. Suppose h + m = 3*t, -4*t - 4*h + 9*h + 92 = 0. Let j = t + -10. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pf when two letters picked without replacement from wfpwwwwpwffwfwvpwwl?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5073154 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3580, -3558, -3538, -3520?\nAnswer: -3504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -240200513 (base 6) in base 9?\nAnswer: -8410530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -327382*a**6 - 12*a**2 - 3040 wrt a?\nAnswer: -39285840*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*g + 0*g**2 - 70*g + 2*g**2 + 22*g**2.\nAnswer: 24*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 - -66. Let o = k - -26. Sort 3, -1, o, 2.\nAnswer: o, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 8106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus 48514.08?\nAnswer: 48514.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -46.9.\nAnswer: 14.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -43358455*q**2. Let k(z) = -z**2. Give l(k(w)).\nAnswer: -43358455*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (9\/(-1) + 3). Suppose 7 = s + c. Suppose 3*h - 167 - 28 = f, s*h - 195 = -2*f. What are the prime factors of h?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 6 = -4*p - 0*p, 0 = 3*c + 4*p - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 3*o**2 + o + 2. Let p be r(-3). Let b(u) = 14*u**2. Let l(a) = -a**2. Let k = 22 - 16. Let q(h) = k*l(h) + b(h). Give q(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1520 and 475?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17a + 177?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -0*q - 184. Let p be q\/10 + 8\/20. Differentiate -6 - 46*h + p*h**4 + 46*h with respect to h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 5*l**2 + 214*l - 218. Give s(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3741 + 39778. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(1\/4)\/t*t*t*t)\/(t\/t**(5\/2)*t))\/(t**(-4)*t\/t**(-2))*(t**(-4\/3))**(1\/39) assuming t is positive.\nAnswer: t**(2207\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 1 + 2*k**2 + 1)*(5 + 6 - 4)*(10*k**2 + 8*k**2 - 4*k**2) as u + g*k**4 + s*k**2 + v*k**3 + a*k and give s.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-81)\/(-6))\/(-9))\/(3339\/84).\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + 2*u - 3*u)*(20594 - 41*u - 162*u + 203*u - u**2) to the form b*u + o*u**3 + c*u**2 + w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 30*q - 58. Suppose 0*m + 51 = 5*m + c, -4*m + 39 = -c. Is 14 a factor of j(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*q**2 + q**2 + 0*q**2)*(-3*q - 2*q + 7*q) - 38344 - 16*q**3 + 38344)*(19 + 4*q - 2*q - 11) in the form t*q**3 + l*q**2 + v*q**4 + y + f*q and give v.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.09? (a) -3 (b) -6 (c) 0.1 (d) -0.3 (e) -2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 55129142 - 116249142. Round d to the nearest 1000000.\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(209)*-1 + sqrt(209) + sqrt(209))*-4)\/sqrt(11).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(288)*-2 + 5)*3 - 3*((sqrt(288) + 0)*5 + (sqrt(288)*2 + 4 - sqrt(288))**2)) + 3.\nAnswer: -879 - 540*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**5\/4 - 25*r**4\/4 - 225*r**3\/4 + 1225*r**2\/4 - 245*r = 0. Calculate r.\nAnswer: -7, 0, 1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19*(731\/51 + -19 - -5).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.3 - -0.7. Put 2\/5, a, 1 in ascending order.\nAnswer: 2\/5, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 75\/7, 8522 in ascending order.\nAnswer: 3, 75\/7, 8522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 399 + 854 + 12*h - 1253.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 76213.67 days?\nAnswer: 6584861088000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - -15*(3 - (-21)\/(-9)). Suppose 10*l - o*l + 19 = 0. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of z**4\/54 + 11*z**3\/9 + 242*z**2\/9 + 1944*z. Solve w(k) = 0.\nAnswer: -22, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**6 - 5*f**5 - 5*f**2 - 5*f. Let k(b) = b**6 - b**5 - b. Let m(g) = 5*k(g) - w(g). What is the third derivative of m(u) wrt u?\nAnswer: 720*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 86\/47 in -3, 1\/3, -0.05, 2\/15?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y. Let f be o(-3). Suppose 3*t + 7 - 40 = 0. Let k(r) = -4*r**2 + t*r**3 - 8 + r**2 + 4 + 4*r - 10*r**3. What is k(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 108 divide 65772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - ((-34)\/17)\/(-2 + 3). Solve -7 = -5*m + w*i, 5*m - m - i = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 5:19 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/25 and -46\/55?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 6*m**2 + m**2 - m**2. Let l(s) = -4*s + 438 - 438. Let b(j) = -j. Let x(r) = -18*b(r) + 4*l(r). Determine x(g(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2517.5002 rounded to the nearest 10?\nAnswer: -2520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/6*(5 + -3 + -11). List the prime factors of 21424\/144 + o\/27.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnh when three letters picked without replacement from {n: 3, h: 3, b: 7}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22019?\nAnswer: 97, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.392 - 0.932. Is i at least as big as -4\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7 - -11. Let z(v) = -v**3 + 4*v**2 - 3*v + 9. Let f be z(a). Does 24 divide 22*(f - 26\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1503826.\nAnswer: 2, 751913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/21? (a) 19.5 (b) 0.9 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-11)\/f)\/(f\/(f\/(f\/(f\/(f*f**16)))))*(f**(1\/3)\/f)\/f**(4\/15) assuming f is positive.\nAnswer: f**(-449\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 8*t**2 - 9*t - 4. What is the lowest common multiple of 1728 and r(-8)?\nAnswer: 29376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 23*d**3 - 10*d**2 - 2*d - 1. Let z(a) = -5*a**3 + a**2 + a. Calculate s(j) + 4*z(j).\nAnswer: 3*j**3 - 6*j**2 + 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 142937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 874*o**4 - 29*o**2 + 50 wrt o?\nAnswer: 20976*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481585 is divided by 80264.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*w + 132 + 736. Let y be -1*(1 - 2)*-66. Let u = y + w. List the prime factors of u.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -12*f**2 - 302594*f + 16960856?\nAnswer: -24*f - 302594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxsb when four letters picked without replacement from bssxsxx?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 578 (b) -1.87 (c) -1496\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7944639?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of -v**6\/27 - 2*v**5\/45 + v**4\/9 + 4*v**3\/27 - v**2\/9 - 2*v\/9 - 8. Factor h(l).\nAnswer: -2*(l - 1)**2*(l + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 92*f**3\/3 - 3986. Let y(g) = -g**2 + 40. Determine m(y(l)).\nAnswer: 92*l**4 - 7360*l**2 + 147200","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 1.54.\nAnswer: -6.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -24 + 26. Suppose 1 = 3*p + b, -3 + l = -b. Let j(f) = p*f + 15 + 2 + f. Give j(0).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**9*n\/(n*n\/n**(-4)*n))\/(n*n**(-9)*n\/n**4))**(-7) assuming n is positive.\nAnswer: n**(-98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 70.792 + -71. Let l = -0.2515 - b. Round l to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 5*o**8\/336 - 22*o**5\/15 + 49*o**4\/4 + 7*o**3\/6 + 2628*o**2. Find the second derivative of j(y) wrt y.\nAnswer: 100*y**3 - 176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p + 25404*p**2 - 67680*p**2 - 107724*p**2 - 12. Let l be s(-6). What is l rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + i + 1. Let r be (0 + 2\/(-1))*2. Let y(n) = -3*n**2 + 2*n + 2. Let f be (-5 - 1)*(-4)\/12. Let d be (2\/4)\/(1\/f). What is d*y(p) + r*o(p)?\nAnswer: p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + z**2 - 2*z + 2. Let s be v(1). Solve m = -3*a - 2*m, 3*m + 6 = s for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 88*z - 8. Is n(5) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a - 12. Let c be v(-6). Let g(n) = -n**2 - 10*n - 7. What is g(c)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-18)*w)\/(w*w**(4\/19)\/w*w*w) assuming w is positive.\nAnswer: w**(338\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - g + 7 = 0, -12 = 1092*o - 1090*o - g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-7)*r*r*r*r*r**(-2\/9)*r*r assuming r is positive.\nAnswer: r**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -10468 + 54025. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9174 and 1584?\nAnswer: 220176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 755012882?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 27 + 6 = 2*k, -k = -2*t - 12. Let z be (-4)\/k - (-171)\/(-63). Is z <= -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -q**4\/2 - 8*q**3 - 36*q**2 + 29. Factor j(z).\nAnswer: -2*z*(z + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95\/5594147 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1779 + 1778.98214. What is h rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16348 - 16359.167. Round r to 0 dps.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37575270 divided by 6?\nAnswer: 6262545","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003866 to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of a**4\/4 + 6*a**3 - 5*a**2\/2 - 27*a. Let f be p(-15). Suppose 0 = w - 125 - f. Round w to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 + 0 - 4) + (-783)\/(-3). Suppose -4*u + 476 = 4*j, -3*j + 86 + q = -3*u. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2428 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1432*c**3 + 2*c + 3666.\nAnswer: 8592*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f + 7. Let i be o(-5). Let q be ((-21)\/14)\/i*(-1 + 21). Solve 4*a = -3*d + 11, q*d - 2*a = 5*d + 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 352986?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 6*w = -606. What is the remainder when w is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 2*y = 0. Suppose 0 = 4*g - y - 16. Suppose 0*i**3 + 1\/3*i**g - 1\/3*i**2 + 0 + 0*i = 0. What is i?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9216420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 5*t = 3*i - 1, 5*t = -5*i + 5. Let w be (-2 - 13\/(-1))\/((-496)\/(-32) - 15). Solve -i*n - 4*f - w = -f, 3*n = -3*f - 27 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**5 + 78*z**4 + 5327*z**3 - 72540*z**2 + 106292*z + 184080 = 0.\nAnswer: -52, -1, 3, 10, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/3 - 36*x**2 + 114*x.\nAnswer: -2*x*(x - 3)*(x + 57)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13631539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 166765828?\nAnswer: 1834424108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -592?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1249 + 413 + 46*g**3 + 418 + 417.\nAnswer: 46*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4769094 divided by -794849.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -50, -86, -136, -200?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*1385\/(-20) + (-9)\/6. What is the remainder when 29 is divided by l\/175 + 22\/(-20)*-8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1615 - 14.\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**2 + v**2 - 2*v**2 - 3*v**2 + 3*v**2 + 2*v**2 + 0*v + 0*v - v**2 + (2 - 2 + 2)*(0*v**2 - 2*v**2 + 0*v**2) - 14*v**2 + 174*v**2 - 25*v**2.\nAnswer: 130*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9423001, -18846003, -28269005?\n\"Answer: -9423002*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**1)\/(d\/(d**(-5\/3)*d)))**(-7) assuming d is positive.\nAnswer: d**(35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -646*f**3*l**4 + 281*f**3*l - f**2*l**5 - f*l**2 wrt l.\nAnswer: -15504*f**3*l - 60*f**2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 38, 68, 108, 158, 218?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 92219663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2195 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2. Let m(p) be the second derivative of -7*p**4\/4 + p**2\/2 + 8*p + 274. Determine m(s) - 5*q(s).\nAnswer: -26*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 540 - 48 = 41*q for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0\/q)\/q**2)**(-6\/7)*(q**(2\/5)\/(q**(-2\/3)*q))**(-47) assuming q is positive.\nAnswer: q**(-59\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, 8, -2, 0 in ascending order.\nAnswer: -2, -0.13, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h**3\/8 - 33*h**2\/4 + 177*h + 816 = 0 for h.\nAnswer: -34, -4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 <= 156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h**(2\/5)*h**5\/h*((h**(2\/13)*h*h)\/h)\/(h*h**(-5))*(h**0)**(3\/11)\/(h**(2\/5)\/h)**(1\/60) assuming h is positive.\nAnswer: h**(13733\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.031*-155.11619\nAnswer: -4.80860189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 560 is divided by 47?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5694 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 0.0307.\nAnswer: -0.0307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-seven halves of a litre?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -717, -711, -705?\n\"Answer: 6*i - 723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21472.\nAnswer: 2, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/3*(40\/5)\/16. What is the biggest value in -3, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -35.4 - -41. Let z = m + -6. Sort -4, 1\/8, z in decreasing order.\nAnswer: 1\/8, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2 = -2*v. Let m(f) = v + 4*f + 4 + 1 - 8*f. Let a(y) be the third derivative of -y**4\/24 + y**3\/6 - 5*y**2 - 187*y. Determine 6*a(d) - m(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zazzmkdaaqk. Give prob of picking 1 m, 1 d, 1 q, and 1 a.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5313 + 3422. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2361359 and 337?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -4 + (-3110)\/(-525) + (-2)\/5. Let g(q) be the first derivative of 12\/35*q**5 - 1\/21*q**6 - q**4 + 4\/7*q - 5 - 9\/7*q**2 + k*q**3. Factor g(w).\nAnswer: -2*(w - 2)*(w - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 45 = -5*x, -4*x - 2*c - 3 = 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13585394 + 3*s + 5*s**2 + 13585394.\nAnswer: 5*s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*52\/(-24)*(-16)\/6 and 22\/15.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b = 28*b - 536. Let s(q) = -q - 10. Let h be s(-14). Suppose 3*c - b = -5*a, c + 4*a = -h*c + 915. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 6 = 3*h + 7, q + h = -3. Let o = q - 1. Let u be ((-27)\/18)\/(490\/40 + -7). Is o at least as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r. Let t(b) be the first derivative of 3*b**2 + 3*b + 16. Let l(a) = -11*a - 5. Let c(f) = 3*l(f) + 5*t(f). Calculate c(n(z)).\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1925121?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9742 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.3195 rounded to zero decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 7. Suppose q - 5*q - 6 = -2*l, q + 9 = 2*l. Is z at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 0 + -3*3*sqrt(891))**2 + 4 + 2.\nAnswer: 810*sqrt(11) + 72202","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -15 - (-35)\/(-28)*(7 - -13)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78 - -3) + 58 + 80.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(8) + sqrt(10)\/(sqrt(30)\/sqrt(6)))**2 + 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b*c**2*y + b*c**2 + 107*b*c*y - 37*b + c**2*y + 10*c wrt y.\nAnswer: 2*b*c**2 + 107*b*c + c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112788.\nAnswer: 2, 3, 13, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35603 + 35600. Let g(h) = h**2 - 3*h - 4. Let n be g(3). Let c be (2 - 2 - n)*1. Put x, c, 8, -2 in decreasing order.\nAnswer: 8, c, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1377 = 9*d - 630. What is the remainder when d is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5902 and 28014454?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2 + 5*r**2 - 7*r**2 - r**2. Let o(y) = -3*y**2. Determine o(z(k)).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 32 by -7.\nAnswer: -32\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -982*r**2 - 276*r**2 + 2223*r**2 - 982*r**2.\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -97*m**3 + 2*m**2 + 3*m + 2. Let u be v(-1). Let d = u - -43. List the prime factors of d.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u + 2*u - u + (-u + 0*u + 0*u)*(-4 + 3 + 0) + u - 5*u + 6*u - 1 + 2*u + 1 - 3 + 3 + 11*u + 0 + 0 + u.\nAnswer: 16*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkkckckkkkk.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-6) - 1\/15. Let z = 14683 - 73417\/5. Which is the closest to z? (a) 1 (b) -2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33063 and 2781?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/((j**(-7)*j)\/j*j))\/(j**(-1\/3))**(-37) assuming j is positive.\nAnswer: j**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 436 + -413. Suppose -h*i + 60076 = -36087. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - 11*k - 19*k + 0*k to the form g + w*k and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 8. Let x = 2832\/17 - 24305\/136. Find the common denominator of 10 + 1 - o\/21 and x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10023301 - 0?\nAnswer: 10023301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3387 by 31.\nAnswer: 3387\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k**2 + 2*k - 11. Let f(c) = -c**2 + c - 5. Determine -9*f(u) + 4*v(u).\nAnswer: u**2 - u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 62, 128, 220, 338, 482, 652?\nAnswer: 848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/1216 and -63\/152.\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(85)\/(-1*sqrt(45)) + -2 + (-6*1*sqrt(85)\/(1*sqrt(5)))**2)*-3.\nAnswer: -1829 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 72 = -5*o - 4*m, 16 = 4*m. Let t = o + 10. Let j = 13 + t. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29607576?\nAnswer: 2, 3, 41, 30089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*y + 30*y = -17358. Is y a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37255 + 12517663\/336. Let i = o + -1\/48. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 68\/(-36) - (-41)\/(6273\/(-4148)). Sort -3, 0.6, q, 0.4, 1 in descending order.\nAnswer: 1, 0.6, 0.4, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1436278 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/6*6 + 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m - 933 + 3914 - 926 - 1117 - 936.\nAnswer: 15*m + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 49 = 3*w, -6*w = -w - 3*g - 69. Calculate the remainder when 164 is divided by w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-21 + 30 + -15).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*w + 16 = 0. Calculate the remainder when 32\/20*(-21905)\/(-1348) is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688743 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 31*j + 8. Let m be y(0). Solve -m*q - 28 = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*0.2266\nAnswer: 0.06798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 8\/5, -0.88, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1592 or -1591?\nAnswer: -1592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3347499720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {h: 1, n: 1, e: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1917378861 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -27883 less than 8101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 6758*q - 3334. Let j(z) = 4513*z - 2223. Let n(a) = -7*j(a) + 5*l(a). Differentiate n(m) wrt m.\nAnswer: 2199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*v - 535 = -2*g, -515 = -2*g + 5*v. Suppose 0 = -4*c + 2*c + g. Suppose 37 = 5*n - 38. Calculate the highest common factor of n and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -463 - -406. Let t = -57.0000161 - s. What is t rounded to 6 decimal places?\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 + -47?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 17461, 69618, 156545, 278242, 434709, 625946?\n\"Answer: 17385*a**2 + 2*a + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(-2) - -3)\/((-6)\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85 - 0. Let p = 89 - y. Solve p*v + 10 = o, 5*o = -v + 8 - 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128143 or -113952?\nAnswer: -113952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3682606017.\nAnswer: 3, 1227535339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 4:50 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/3408 and -83\/2432.\nAnswer: 518016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.6 + -6. Let x = -173\/30 - -17\/3. Let t = 0.5 + -1. Which is the closest to -1\/5? (a) w (b) x (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -2*z. Let k(d) = 5*d. Let i(s) = 2*k(s) + 6*o(s). Let n(g) = 4*g. What is n(i(p))?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*c**2 - 64797517*c - 24063806 with respect to c.\nAnswer: -4*c - 64797517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7*v - 3*v + 6 - 5 + 4. Let s be k(0). Solve 5*c = -4*i + 33, 0 = -2*c - s*i + 8 + 12 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 2*f + 6. Let h be j(9). Suppose 8*p - 1390 = h. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + -2*sqrt(80) + 1)**2.\nAnswer: -48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*g = g - 8, 68 = 5*c + 4*g. Suppose -14*f + 11*f + c = 0. Suppose 4*j = m - 37, -3*m - 3*j - 35 = -f*m. What is the tens digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -29. Let p = h - 14. Is ((-2)\/p + 164)*1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 153*j + 134*j - 64*j**3 - 14*j**2 - 6*j**2 - 4*j**4 - 2420 + 2177*j + 44*j**2 = 0?\nAnswer: -11, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2787593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330823.\nAnswer: 330823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 57 = 5*f - 2*f, 5*x + 5*f - 255 = 0. Is 3804\/x + (-2)\/8 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1842945 a multiple of 169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 10620*n + 224784.\nAnswer: -4*(n - 2676)*(n + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 24 - 45. Let c = 28 + b. Suppose -c*z = -10*z + 90. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 PM and 7:22 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 - 3*b + 2. Let s be x(2). Let y be (-5435)\/(-20) - (-1)\/s. Suppose -y = -5*u + 23. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3056 - 5?\nAnswer: -3060","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 76, 93, 144, 247, 420, 681, 1048, 1539?\nAnswer: 2172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -34 + 26 + (-19)\/(-2) - (-1 + (-117)\/6).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -101*x + 99*x + 132. Calculate the remainder when x is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Let t = 9.3 + -8.3. What is the closest to z in -5, -1\/5, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3853, 7718, 11641, 15664, 19829?\n\"Answer: 7*n**3 - 13*n**2 + 3855*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*h - 1974 = -51*h. Calculate the remainder when h is divided by (-8)\/(-10)*5\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o*o\/(o\/(o\/(o\/o**(2\/11))))*o\/(o\/(o*(o*o**(4\/7)\/o*o*o)\/o*o)*o)*(o*o**(-5)*o)\/((o**(-2\/7)*o)\/o))**(-13\/2) assuming o is positive.\nAnswer: o**(-1521\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 6*f**2 + 4. Let t be n(-6). Suppose t = 4*m - 8. Suppose -2*z + 3 = -m. Which is the second smallest value? (a) 2\/3 (b) z (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 2*l = 4, 3*l = -4*z - 0*l + 14. Suppose 3*v = -z*v + 10. Find the second derivative of 4*j + j + v*j + 2*j**2 - 2*j wrt j.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 108 = -4*p, 0 = 3*y + 2*p - 0*p - 108. Suppose -4*h - 5*a = -99, -h + 5*a + 6 = -0*h. What is the remainder when y is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d**3 + 8*d**2 + 8*d + 8. Let u = -116 - -104. Let c = u - -17. Let j(q) = -4*q**3 - 5*q**2 - 5*q - 5. Determine c*f(b) + 8*j(b).\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 8:02 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/((v**(-6\/11)\/v)\/v)*v**2)\/(v**(1\/10)\/v**(-5))*(v*v**6)\/v*v*v**(3\/2)\/v*(v*v\/(v**(2\/5)*v))**(1\/2) assuming v is positive.\nAnswer: v**(907\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2536 + 6180. What are the prime factors of f?\nAnswer: 2, 911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1517, 3000, 4523, 6086?\n\"Answer: 20*j**2 + 1423*j + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of -d**5\/15 + 235*d**4\/24 + 163*d**3\/2 + 2096*d**2. Find the first derivative of x(i) wrt i.\nAnswer: -8*i + 235","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 516379664?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2549\/(-5) + 3\/(-15). Round x to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*o + 2352 = -9*o - 637 for o.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6461830 (base 9) to base 3.\nAnswer: -20112001221000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (55\/(-11) + 1 + 4)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2143 + -1353. Suppose -18*y = -434 - b. Suppose -2*l + 36 - 100 = -2*i, -146 = -4*i - 2*l. Calculate the remainder when y is divided by i.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 0.5, 3\/5, -4, -2\/7, 19\/10?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 264.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 492\/8 - 201\/(-134). Calculate the highest common factor of 8589 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0190765479 - 0.019079. What is m rounded to 7 dps?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 661699133?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1309*v - 45542 = 13128 + 69612 for v.\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o - 7. Let n be f(3). What is the greatest common divisor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 2:06 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187*m = 113*m + 2963996. List the prime factors of m.\nAnswer: 2, 7, 2861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 42679, 88995, 135321, 181663, 228027?\n\"Answer: q**3 - q**2 + 46312*q - 3633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -290535 or -290536?\nAnswer: -290535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 3*g**2 - g + 2. Give m(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + 19. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43492.24 kilometers in millimeters?\nAnswer: 43492240000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41256 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: Calculate the highest common divisor of 53231805 and 6138.\nAnswer: 3069","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 + 15. Which is the third biggest value? (a) 2 (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -4. Suppose z*g - 175 = -2*q - 3*q, 2*g - 76 = -5*q. Suppose 2*c - 6 + 0 = 0. Calculate the greatest common divisor of g and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 991847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a - bbaab?\nAnswer: -bbb18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*b - 81*b = 79*b - 374 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 times 59.5?\nAnswer: 4522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 8*z. Let q(i) = -140 - 16*i**2 + 140. Determine g(q(n)).\nAnswer: -128*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 6*w**2 - 17*w + 7. Calculate the least common multiple of 128 and i(-3).\nAnswer: 896","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 7*x - 5 - 4*x + 5*x**2 + 3. Let q be c(2). What is the second derivative of 0*z + q*z - 13*z + 13*z**3 wrt z?\nAnswer: 78*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 greater than -0.5622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*n - 48*n + 25*n + 5*n**3 - 14*n**3 - 2*n**2 in the form s + d*n**2 + a*n**3 + z*n and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 32101\nAnswer: -9630.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150*o**2 - 131*o wrt o.\nAnswer: -300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39\/11 in -0.5, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 y when two letters picked without replacement from apydgagrdryggr?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -345*b**2 - 2575*b. Determine a(-7).\nAnswer: 1120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*t**3 + 72*t**2 + 132*t + 64 = 0. Calculate t.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013847493 rounded to four dps?\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -8877*0.179\nAnswer: -1588.983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-3)*-3*(-90)\/(-75).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -182.47 + 181. Let i = j - 0.13. Let u = 1.6 + i. Which is the third biggest value? (a) u (b) -3 (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w\/w**(3\/8)*w)\/w)*w*w**(-2\/29)*w*w\/w**16*w**4 assuming w is positive.\nAnswer: w**(-2017\/232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**3\/7 + 4828*t**2\/7 + 13159*t - 96940\/7 = 0.\nAnswer: -20, 1, 4847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + j**2 + j + 5. Let h be 72\/4*(-2)\/6. What are the prime factors of n(h)?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 98 and -1.3929899.\nAnswer: 96.6070101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k*k\/k**(-1\/13))*k)\/k)\/k*k*k**(-2\/9)\/k*((k\/(k\/(k\/((k\/k**(2\/17))\/k))))\/k)\/(((k**(3\/7)\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(19352\/13923)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -248*k - 32*k - 230*k.\nAnswer: -510*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(18\/8 + -2). Suppose -134 + 130 = -t. Let c(d) = -d**3 + 3*d**2 + 5*d. Let j be c(4). Solve 0 = -v + t*n - 3, -j*n = -l*v - 0*n for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(1*sqrt(6)*-1) + sqrt(21)\/((-1*sqrt(847) - sqrt(847)) + sqrt(847)) + -3.\nAnswer: -3 - 12*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 594 divide 13668534?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161*t**3 - 11*t**3 + 2*t**2 + 53*t**3.\nAnswer: 203*t**3 + 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**4 - 3 - 2*w**4 + 5 + (-w - 2*w + 2*w)*(28 - 28 - 34*w)*(-w**2 + 3*w - 3*w).\nAnswer: -36*w**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*v - 0 + 14. Let s be 1 - 28\/7*(-1)\/v. Solve 0 = -s*p - 3*g + 6, 3*g - 2 = -2*p + 6 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.5 (c) -83\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30632, -30623, -30614?\n\"Answer: 9*i - 30641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2670473, -5340951, -8011435, -10681925, -13352421, -16022923, -18693431?\nAnswer: -21363945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 = 7*c. Suppose 0 = -c*n + 4, -6 = -4*o + 4*n + 14. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v - 14457 = -18313. Let d(u) = -u + 41. Let k be d(0). Suppose 2*l + k - v = 0. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2814?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 5 - 4)*(-93 + 93 - 23*b + (-1 - b + 1)*(-2 - 2 + 3)).\nAnswer: -44*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/5? (a) -4\/3 (b) 27 (c) 0.2 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.317 - 0.017. Sort f, 5, 0.4 in decreasing order.\nAnswer: 5, 0.4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f*f**(-6))*f*f)\/(f**2\/f)*f**4*f**6)\/((f**(1\/4)\/(f**(-1\/7)*f))\/(f**(-4\/3)\/(f*f\/(f*((f*f**(-4\/9))\/f)\/f)*f))) assuming f is positive.\nAnswer: f**(3485\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 16340 divided by 8\nAnswer: 4085\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 43, 64, 0, -22, 5 in descending order.\nAnswer: 64, 43, 5, 0, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*-2726.8.\nAnswer: 27268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -60523136 (base 7) to base 3\nAnswer: -100110121111202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 164883773 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 341.8726t to grams.\nAnswer: 341872600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405775 divided by 5?\nAnswer: 81155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a gram in milligrams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 517514 and 112251.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -45342\nAnswer: 1\/15114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -280, -1258, 0.4 in increasing order.\nAnswer: -1258, -280, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5542\/3 - 1831. Find the common denominator of 25\/2 and w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 340.183 - 338.5. Let t = g + -1.5791. Round t to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50639315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11618, -23196, -34738, -46244, -57714?\nAnswer: -69148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are -15\/2 and 0.06635043 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -8012*n + 8009*n - 51, 0 = p + 2*n + 33 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -1\/63 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -34*x - 1. Let t(g) = -137*g - 17. Let d(c) = -4*b(c) + t(c). Give d(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 11:09 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 297244188?\nAnswer: 2, 3, 2752261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 408434*d**2 + 68527*d.\nAnswer: 816868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/((-420)\/40*(-84)\/(-49)*-1)?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 86593992 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/8 + 268\/16. Suppose -k = j - 5*j. Solve 6 = -j*r + 14 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2258 is divided by 120.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 11*z**2 + 10*z + 4. Let q be s(-10). Suppose d = -2*d, 0 = q*l + 4*d - 40. Suppose -34*t = -29*t - 10. Solve -t*x = 3*x - l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 170849349?\nAnswer: 1366794792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1191*-670476.\nAnswer: 798536916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1187\/5835 - -4\/1167. Are f and -1035 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4554)\/345*50\/180?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 254 and 10?\nAnswer: 1270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 93207)*(-514)\/4. Suppose -12*i - 25107884 = -16*i. Let x = i + b. Round x to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6647119, 13294271, 19941427, 26588587, 33235751, 39882919?\n\"Answer: 2*n**2 + 6647146*n - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oa when two letters picked without replacement from ajojaajaa.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37340992?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3335625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -161\/3647088 and -151\/240?\nAnswer: 18235440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/18 and 19\/1224962019.\nAnswer: 2449924038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*r**2 + 12*r**2 + 20*r**2 + 10 + 2*r**3 - 1 as x*r**3 + d*r**2 + j*r + c and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -o + 106 - 46, 5*g - 150 = -4*o. What is the remainder when 2840 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**32))\/l)**(-16)\/(l\/((l**(-14\/11)\/l)\/l*l)*l*l*l\/((l*l\/((l**38\/l)\/l))\/l)) assuming l is positive.\nAnswer: l**(5354\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 447.00000381 - 447. Round t to seven decimal places.\nAnswer: 0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 241, 488, 733, 976, 1217?\n\"Answer: -m**2 + 250*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/5328 and -107\/216080.\nAnswer: 1944720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -296 by 37.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 756 and 24084.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 212 - 8 = 0. Let x = -6 + 6. What is the remainder when b + x + -1 - 2 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1658524*b**2 + 2*b + 3598190?\nAnswer: 3317048*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11048, -14374, -17700, -21026, -24352?\nAnswer: -27678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -12*d**2 + 2*d - 2*d + 8*d**2. Let y(g) = 2*g**2 - 5*g - 5. Let a(u) = 3*u**2 - 9*u - 9. Let n(m) = -5*a(m) + 9*y(m). Give n(c(j)).\nAnswer: 48*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2\/8 - 2312400*t - 10694387520000.\nAnswer: -(t + 9249600)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*b**3 + 6*b - 6*b + (0 - 2 + 4)*(b**3 - 2*b**3 + 2*b**3) - 891 + 891 - 34*b**3 in the form m*b**2 + w + v*b**3 + l*b and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4 + (-6)\/(-3)*1073. What are the prime factors of -3 + u\/7 + 1?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 137139 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11461279 + -104.728?\nAnswer: -11461383.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 922\/147 - -3\/49. Let q = n - 20\/3. Let m = -0.5 + 0. Which is the closest to 2? (a) 0.2 (b) q (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173 - 169. Suppose -h*b - 4*q + 2*q = 0, -5*b + 4*q + 26 = 0. Solve -z - b*x - 4 = 0, -3*x = -4*z - 0*x + 17 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, n: 2, p: 1}. What is prob of sequence pcn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2816 + -2817.20064. Round z to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/192*4\/3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 255017*b**2*m - 18198*b + 20*m wrt b.\nAnswer: 510034*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*c + 46*c + 12 + 34*c - 198*c + 38*c + 41*c.\nAnswer: -2*c + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z + 150 = 0. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155891 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 5*a - 13 - 6*a.\nAnswer: -a - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of a**5\/90 + a**4\/54 - 4*a**3\/27 - 4*a**2\/9 + a. What is v in o(v) = 0?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 0.989?\nAnswer: -0.1978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 70691, 282738, 636141, 1130894, 1766991?\n\"Answer: -v**3 + 70684*v**2 + 2*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 3*l + 98. Let u be b(-17). Let m be 99\/2 - (2 + -1). Let a = u - m. Which is bigger: 0.1 or a?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/53, -0.4, 4, 2\/5, -9.9, 3 in ascending order.\nAnswer: -9.9, -0.4, 3\/53, 2\/5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42.6 + -43. Which is the fourth biggest value? (a) m (b) -1\/3 (c) -3\/4 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -69*b**5 + 2*b**4 - 2*b**2 + 55*b**5 - 2*b**4 wrt b?\nAnswer: -840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v + 1 + 4*v**2 - 5*v**2 + v**2 + v**3 to o + s*v**3 + q*v**2 + r*v and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2072684209?\nAnswer: 2072684209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*h + 8. Suppose -h*r = -2*r - 205. Let j(i) = 2*i**2 - 6*i - 6. What is the remainder when r is divided by j(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -7*t**5\/10 + t**3\/6 + 8*t. Find the second derivative of d(a) wrt a.\nAnswer: -84*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5393\/44 or -124?\nAnswer: -124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 57 divided by -1\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-2 - 5)*(-2 + 3). Let u = -92 + 553\/6. Sort y, u, 4 in ascending order.\nAnswer: y, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of 0*a**3 - 4*a + 0 + 7\/12*a**4 + 0*a**2. Let d(j) = -3*j**2. Calculate m(d(p)).\nAnswer: 63*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 66 in descending order.\nAnswer: 66, 5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1578891.99962 - -1578933. Let r = b + -41. Round r to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/6*-6*2. Let k be (0 - 1) + i + 0. Let m(w) = 0*w**2 + k*w**2 - w**2. Let v(x) = 14*x. Calculate v(m(a)).\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 93062.81 millilitres in litres?\nAnswer: 93.06281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(3\/25))**(-32))**31 assuming f is positive.\nAnswer: f**(-21824\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -7277 (base 8) in base 4?\nAnswer: -322333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -775 - -823.38. Let s = 49 - y. Round s to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 - 57 - (-59 - 6).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 43*b**3\/3 + 3*b**2\/2 + b - 32. List the prime factors of y(2).\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -3*q**5\/10 + 33*q**4\/4 - 72*q**3 + 96*q**2 + 15*q - 1. Factor z(s).\nAnswer: -3*(s - 8)**2*(2*s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/1)\/3 + 4. Suppose -q - 21*q + 44 = 0. Let z be 2\/(-6) - (-16)\/12. Solve q*m + s = -z for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10738872 to the power of 1\/2, to the nearest integer?\nAnswer: 3277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 3*c**3 + 5*c**2 + 10*c + 14. Let m(k) = -5*k**3 - 11*k**2 - 20*k - 27. Let o(x) = 4*m(x) + 7*z(x). What is o(10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8.8 and 9.\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express a - 2*a**2 - a + (-1258 + 672 + 707)*(-5*a**2 + 3*a**2 + 3*a**2) in the form w + x*a**2 + t*a and give x.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/2)\/((-12)\/8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 850 a factor of 81321200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 - 8*c + 2. Suppose -5*a + 3*p + 23 = 29, -2*a + 5*p + 9 = 0. What is r(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5213.46 to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**2 + 7*g - 257. Let o(c) = 7*c**2 - 12*c + 521. What is -6*o(y) - 10*w(y)?\nAnswer: -2*y**2 + 2*y - 556","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5896 + 0.2296. Let m = 0.1 - -0.4. Sort -5, m, o in increasing order.\nAnswer: -5, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 900.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10, -33, -72, -127, -198?\n\"Answer: -8*u**2 + u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1245511 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xaaa. Give prob of sequence ax.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 34159 + -14082. What is the ten thousands digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21605200 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4*(3 - (-98)\/(-4)). Let l = -85 - b. Suppose -l = 11*p - 45. Which is bigger: p or 8\/3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -289880 to the nearest one thousand.\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/2 of a second in milliseconds?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d**2 - 2*d + 4. Let c(u) be the first derivative of u**2 - u - 2. Let n be c(2). Is p(n) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 18*w - 9. Let z(r) = 19*r - 9. Let j(u) = 7*d(u) - 6*z(u). What is the first derivative of j(t) wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12\/391 - 3188\/1955. Let v be ((-1)\/(-4))\/(6\/(-12)). What is the biggest value in -0.4, v, r, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-6 - (-30 - -4)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 11846307, 23692605, 35538903, 47385201?\n\"Answer: 11846298*k + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168 - 631 + 544*i**2 + 151 + 147 + 165.\nAnswer: 544*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -269 or -272?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12 + -80395.\nAnswer: -80394.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15136400*z**2 + 1750382*z?\nAnswer: -30272800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 6:22 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 299 and 4107662?\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -6627*f**5\/5 - 14241*f**4 + 145682784*f**3\/5 + 710778888*f**2\/5 - 160631544528*f + 160460267760 = 0. What is f?\nAnswer: -5070\/47, 1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 253032487?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 + 7. Let j = -0.88 + 0.68. Let n = -1.8 + j. Put -1, q, n, 4 in increasing order.\nAnswer: n, -1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 2. Let s be v(0). Find q such that -q**3 - 3*q**3 - q**3 - s*q**4 + 4 - 2 + 5*q = 0.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.2987 times -141\nAnswer: -606.1167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from waaawawa. Give prob of sequence awww.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -108*o - 3415. Calculate t(-32).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*u**2 - 14*u**2 - 15*u**2 + 3*u**2 - u**2 + u**2 + (3 + 2 - 1)*(-u**2 - u + u + (-u - 3*u + u)*(-1 + 1 - 2*u)).\nAnswer: -18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.5457 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 3*u - 15*u**2 + 15 + 4*u**2 - 2*u. Let g be q(12). Calculate the greatest common divisor of g and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -12 - 19*x**2 - 5*x - 26*x**2 + 29*x**2 - x**3. Let p be c(-16). Calculate the greatest common factor of 170 and p.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 PM and 11:56 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 780875.433 + 66935.\nAnswer: 847810.433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 91 and 91 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22088335, 22088336, 22088337, 22088338?\nAnswer: 22088339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 40*q - 1 - 8 + 88*q + 12.\nAnswer: 128*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of 3*m**2 - 1 + 0*m + 0*m. Let o(v) = -531*v**2 + 402*v**2 + 131*v**2. Determine z(o(s)).\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -12 - 29*g**2 + 12 in the form j*g + s + d*g**2 and give d.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, x: 1, a: 1}. What is prob of picking 1 a and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + 2*u**3 + 0*u**3)*(u + 5*u - 4*u) - 2*u + 2*u + 6*u**4 - u**4 - 3*u**4 + u**4 + 28*u**3 - 2*u - 589*u**4 + 3*u**3 - 3 + 588*u**4.\nAnswer: 6*u**4 + 31*u**3 - 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 1 + 0 + 0 + 1 + (0 - 1 + 3)*(-1 + 1 + 1))*(2 - 2 - h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 0 - 30 = 0. Let u be (1\/(-2))\/(27\/z). Are 0 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 151*c**6\/6 - 36*c**2 + 118. What is the second derivative of r(s) wrt s?\nAnswer: 3020*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4297872 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.02 (b) 3 (c) -4\/3 (d) -5 (e) 4270 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5\/235998?\nAnswer: -5\/235998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1 - 0) + -1)\/((-1866)\/(-4665))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five halves of a milligram?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/2 (b) 0.1 (c) 2 (d) -0.113 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -107301.93262 rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 30 - 28*p + 24*p - 3*p**2 + 4*p as t*p**2 + k*p + s and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - 7*s**2 + 3*s. Let m(q) be the third derivative of q**6\/24 + q**5\/4 - 7*q**4\/24 + 98937*q**2 + 2*q. Let g = -4 - -1. Give g*m(b) - 7*n(b).\nAnswer: -b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 357 - 171. Suppose h*d - 170*d - 864 = 0. Calculate the remainder when 699 is divided by d.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(5*sqrt(33)\/sqrt(3)) + -4 + 2.\nAnswer: -2 + sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 114 or 451\/4?\nAnswer: 451\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 9:36 AM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/144*4\/(40\/9)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - -9. Let f(h) be the second derivative of -h**3\/3 - h**2\/2 - 2*h. Let v be f(-3). Calculate the highest common divisor of v and m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (366\/305)\/(2\/(-15))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -37*a**5 - 397*a**2 - 15781*a.\nAnswer: -740*a**3 - 794","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 193045 and -5?\nAnswer: -965225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/20 and 55\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -154*v**3 + 11*v**2 - 9*v**2 - 1411*v**3.\nAnswer: -1565*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 125845 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-3\/5)*v*v*v**(-17))**30 assuming v is positive.\nAnswer: v**(-402)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -2*w**3\/33 + 10*w**2\/11 + 2*w - 98. Factor y(n).\nAnswer: -2*(n - 11)*(n + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-1\/4)*x*x)\/(x*x**(-1)\/x)*(x*x**(-2\/3)*x)**(-24))\/((x*x*x\/(x\/x**(-3))*x**(1\/4)\/x)\/(x**(-2)\/((x\/x**(-2\/9))\/x))) assuming x is positive.\nAnswer: x**(-254\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - u = 0. Let g be 0\/1 - (u - 2). Suppose g*h - 190 = h. What is h rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*b + 7 + 3, -4*b + f + 14 = 0. Factor -5*a**2 + 4*a**b + 20*a - 9 + 1 - 11*a**2.\nAnswer: 4*(a - 2)*(a - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:12 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((3*(3 + sqrt(76)))**2*2 - (sqrt(76) + ((sqrt(76) + sqrt(76) + 1)*-6 + sqrt(76))**2 + (sqrt(76) + 1)*-3)).\nAnswer: -7696 - 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsazdyz. What is prob of picking 1 s and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.3 and 0.055265708.\nAnswer: 8.355265708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 31523432, 31523433, 31523434, 31523435, 31523436, 31523437?\n\"Answer: n + 31523431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 207.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 323494 and 842.2.\nAnswer: 324336.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -232300 to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10567 bigger than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6447918 and 74114.\nAnswer: 6447918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 p when two letters picked without replacement from {o: 2, m: 4, p: 1, f: 3, i: 2, t: 2}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/11))**1)**(-47) assuming s is positive.\nAnswer: s**(-423\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**2 + 15*l - 2. Let j be x(-7). Let z = 12 + j. Suppose i - 208 = -z*i. Is 13 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c**2 + 19*c + 7. Let j(d) = 2*d**2 - 21*d - 7. Let o(p) = -5*g(p) - 4*j(p). Suppose -n + 11 = 2. What is the tens digit of o(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1112012220220 (base 3) to base 15.\nAnswer: -1105d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 513*g - 6035. Determine d(-501).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - (-11 - -4))*8*-1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from yxxcyxpxr?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 159 + 166 + 11*i**2 - 335 to the form p + j*i**2 + d*i and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 f when two letters picked without replacement from rrftroofntvrnr.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14\/661 - -564424\/3305. Which is greater: 172 or y?\nAnswer: 172","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/360 and -101\/315.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9 and 115981.\nAnswer: 1043829","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1843569138 rounded to the nearest ten thousand?\nAnswer: -1843570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(7 + 3) - -3. Let c = -5 - l. Suppose -14 = -3*r - 2*r + 2*y, -c*r = 4*y - 20. Which is smaller: r or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 18100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231493?\nAnswer: 231493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 3:58 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) -4 (c) -2\/195\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -11 and 0.07?\nAnswer: -0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (7854\/12)\/17*262\/(-917)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -312 + 1896. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 12*n - 22 = 10*n, -5*t + 4*n + 21 = 0. Solve -4*u + w = 16, 0 + 4 = -u - t*w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, t: 10}. Give prob of picking 1 w and 3 t.\nAnswer: 480\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4453*w - 450*w**3 + 4453*w)*(4 - 4 + 2*w**2) - w**3 + w**5 + w**3 + 2*w**5 - w**5 + 0*w**5.\nAnswer: -898*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from ssfsnnsnnssssofsofn?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 equal to -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83451*1574.\nAnswer: 131351874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 96?\nAnswer: 28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + 16 + (13 - 39) + (-2 - -10)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/5? (a) -1 (b) 0.3 (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-19 - (-42 - -6)) + 0 + 23?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 2*j + 112. Let s be (-1 + 2)*1 - (-51 + 52). Is 14 a factor of f(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35 or 32?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (11 - -2)) + 2 + 6\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*n**2 + 9*n**2 + 20*n**2)*(11*n + 0*n + 135 - 3*n**2 - 134) as g*n**4 + k*n**2 + l + f*n + q*n**3 and give g.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6200476*q**2*v - 2*q*v + 39927251*v wrt q?\nAnswer: -12400952*q*v - 2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/4 of a second in milliseconds?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of 31*c**4\/8 + 4*c**3\/3 + 1565*c**2. What is g(-1)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 121, 191, 257, 313?\nAnswer: 353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t**2 + 5*t + 17. Let j(v) = -1298*v + 1 - 1294*v - v**2 + 2593*v. Determine 6*j(h) - l(h).\nAnswer: -2*h**2 + h - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4 + 5 + 7*d**3 - 3*d**2 - d - 5 - 10*d**3.\nAnswer: -d*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - 4*q - 3. Let h(s) = 3*s**2 + 7 - 2*s + 2*s + 4*s + 5*s. Suppose -5*n + g = -0*g + 14, -3*g + 16 = -2*n. What is n*h(m) - 5*b(m)?\nAnswer: -m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*x - 2*x**3 + 55*x - 30*x + 239 - 152 + 274.\nAnswer: -2*x**3 + 361","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11394544?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w - 8. Let m(u) = -35*u - 29. Calculate m(k) - 6*o(k).\nAnswer: -47*k + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64674401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 378*r**3 - 1053*r**2 + 642*r + 33 = 0. Calculate r.\nAnswer: -1\/21, 1, 11\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70760 a multiple of 145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4\/(-6))\/((-2)\/3). Suppose -3*k = -4*a + 7, 4*k = a - 8 + 3. Let n be a\/(-4) + (-20)\/(-16). Solve -2*v + 19 = -3*x, -2*v - 4*x = u + n for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/11, -1864, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 815752 is divided by 291?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**3 - 2*m**2 + 3*m + 2. Let q = -11 + 14. Let r(h) = -5*h**3 - h**2 + 4*h + 1. Let l(j) = q*n(j) - 2*r(j). Does 6 divide l(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110122 (base 3) in base 13?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*w**5 + 4*w**4 - 84*w**3 + 88*w**2 - 10*w - 12.\nAnswer: 2*(w - 1)**3*(w + 3)*(7*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*((sqrt(200) - (sqrt(200) + 1)) + 3)*3.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + p + 2*p)*(1 - 2 + 2) + 6*p - 4*p + p + (25 - 5 + 4)*(-4 + p + 4) as t*p + i and give t.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -126733, -253465, -380197, -506929, -633661, -760393?\n\"Answer: -126732*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*y + 517*y**2 + 9*y + 184*y**2 + 220*y**2 + 2 - 205*y**2 as i*y + t*y**2 + q and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (11 + -5 + -4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 487\/84 + (-16)\/(-56) and 172\/(-240) + 1\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6772 and 238.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 2577\/17, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of -1\/24*n**4 + 1\/80*n**5 - 1\/720*n**6 - 2\/3*n**3 + 0*n**2 + 35*n + 0. Let d(z) be the second derivative of u(z). Factor d(h).\nAnswer: -(h - 2)*(h - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1047, 1106, 1165, 1224, 1283?\n\"Answer: 59*b + 988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 - -42.5. Let d = h - -2.5. Which is the nearest to d? (a) -0.4 (b) 5 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(117) + 3 + 1*sqrt(117))**2.\nAnswer: -24*sqrt(13) + 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*q + 196*q + 57*q + 190*q - 19*q.\nAnswer: 338*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 29609616271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -20. Let a = m - 10. Solve -5*c - 2*h = 1, -4*c + 3*h = -a*c - 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4229 by 384.\nAnswer: 4229\/384","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -3*m**5\/20 + m**3\/6 + 36*m**2. Let y(n) = 234*n - 694*n + 229*n + 232*n. What is z(y(j))?\nAnswer: -9*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 + 11?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 6) + 10 - 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/13)\/l)\/(l*l**3*l*l)*l\/l**(-4)*l**0 assuming l is positive.\nAnswer: l**(-24\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 808\/(6\/(-5 + 8)). Let r = 400 - l. Put -5, 0, -11, r in increasing order.\nAnswer: -11, -5, r, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (5 + -19)) + (97 - 93)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5110*n + 6568*n - 32076 = 0 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 18 = -4*d. Is d less than or equal to 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -2\/13 (b) -2\/7 (c) -0.4 (d) 0.059\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 122, 249, 378, 509, 642?\n\"Answer: p**2 + 124*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11203 + 12003022?\nAnswer: 12020231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3420424591 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.25 times -3718\nAnswer: 929.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 3*u - 3, 0 = 3*m - u + 14. Let d = 0.1 + 3.9. Which is the nearest to 1? (a) m (b) -0.2 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m**2 + 3*m**2 - 3*m**2 + (7*m + 2 - 2)*(m - 4*m + 2*m) - 7*m**2 - 10*m**2 + 35*m**2 as o + l*m**2 + k*m and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rvvorovrwoaoaaovu. What is prob of picking 1 o and 1 r?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.14872 - -0.4.\nAnswer: 0.25128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9158 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**4\/7 + 32*s**3\/7 + 2738*s**2\/7 + 16432*s\/7 - 19200\/7 = 0.\nAnswer: -25, -8, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -13*r**2 - 560*r - 27. Let f be v(-43). Let a(j) be the second derivative of f*j**3 + 8*j**4 + 2*j**5 + 8*j + 0 + 1\/5*j**6 + 16*j**2. Factor a(g).\nAnswer: 2*(g + 2)**3*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2 + 413*d - 2. Let r(v) = -2*v - 27. Calculate r(c(k)).\nAnswer: 4*k**2 - 826*k - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 6 + 0)*(0*y**2 - 5*y**2 + 3*y**2) - 231*y**2 + 518*y**2 + 128*y**2 + (4 - 5*y**2 - 4)*(-2 + 1 + 0).\nAnswer: 424*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 563891243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69104*r + 41 = 69099*r - 3*q, 3*q + 2*q - 65 = 5*r for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -10*i**2 - 615*i + 283. Give q(-61).\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -21. Let o = -13 - u. Let p(v) = -v**3 + 5*v**2 - v + 3. Let w be p(5). What is the closest to -0.1 in 4\/3, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 9*h**2 + 3*h - 1. Let g be p(2). Let w = g - 37. Suppose -z - 786 = -w*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -390435, -779238, -1168043, -1556850?\nAnswer: -1945659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -147*i**4\/2 - 34092723*i**3 + 29222433*i**2\/2 + 16698498*i + 2783082 = 0. Calculate i.\nAnswer: -463847, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -13. Suppose c*a = -f - 3*f + 9, 5 = 2*a + 3*f. What is the units digit of (-75)\/(-20) + a\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and -366.044 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (13 - 0)) + -3.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 14*w. Let x(u) = 5*u. Give x(j(i)).\nAnswer: 70*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11139839, -11139819, -11139799, -11139779, -11139759, -11139739?\nAnswer: -11139719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d. Let o(l) = 19*l**2 - 31*l**2 - 24*l**2 - 25*l**2. Calculate o(j(q)).\nAnswer: -244*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - o + 358 = 0, -4*j - 428 = -0*j + 65*o + 5*o for j.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3080 - -3081. Let i = 0.4 + 3.6. Let h = i - a. What is the second smallest value in 0.4, h, -26, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00349 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-1 - 4) - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 2*t - 46542 = -46535, -w - 3 = -3*w - 5*t for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:04 AM?\nAnswer: 12:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 16167109 to the power of 1\/2, to the nearest integer?\nAnswer: 4021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 0*p + 2 = -4*b, b = p - 3. Solve -6*k + b = 2 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 322148.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 53 divided by 3\nAnswer: 53\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-627)\/(-285) - (5 + -1 + (-264)\/180). Let j = 3.6 + -0.2. Let l = -3 + j. What is the fourth smallest value in l, 0.3, 2\/7, i?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**3 + 3007993*a - 3007993*a.\nAnswer: -5*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of u**4\/20 + u**3\/5 - 9*u**2\/2 - 151*u. Factor f(x).\nAnswer: 3*(x - 3)*(x + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436774834 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 135576 a multiple of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) 0 (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 272 and -0.028?\nAnswer: -7.616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 4*q - 2. Suppose 2*i = -q*g, 5*g + 10 = 2*i - 25. Calculate the remainder when 2\/(0 - 2\/(-8)) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15400, -15418, -15440, -15466, -15496, -15530, -15568?\n\"Answer: -2*o**2 - 12*o - 15386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 527*(-4)\/8*-2. Let o = -286 + p. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 523, 24054, 87927, 212314, 417387?\nAnswer: 723318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -23. Put x, 4\/3, 1\/6 in increasing order.\nAnswer: 1\/6, 4\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21 + 21 - 3*z**4 + (0 + 0 + z**3)*(43*z + 709 - 709).\nAnswer: 40*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**3 - z**2 - 3*z + 5. Determine g(-3).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -156\/17 - -295\/34. What is the fourth biggest value in a, -1\/11, -4, 5\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -16. Let j = 5.624 - 6.57. Let x = j + -0.054. Which is the nearest to 2? (a) l (b) x (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 2\/17 (b) 0.0296 (c) -2\/1467\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5754879649?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 7*h - 15. Suppose -2 = -j + 14. Suppose q - j = -3*q. Solve -10 = -q*x - z, 0 = 5*x - 2*z - h - 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 16*m + 198. Let u be l(-13). Put 0, -45, u in descending order.\nAnswer: 0, u, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-9)\/((-162)\/78)*1\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Expand (-8*s**4 + 10*s**4 + 8*s**4)*(0*s + s + 2*s) + 26*s**2 + 39*s**5 - 26*s**2.\nAnswer: 69*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 4*u + 6*l, 23 = -3*u + 88*l - 90*l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -s**5\/12 - 8*s**2. Let f(v) be the first derivative of -35*v**3\/3 - 69. Calculate u(f(c)).\nAnswer: -6125*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 6) + 3 + 5. Let z = -821 + 821. What is the nearest to w in -1, z, 1\/4, 1.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4577163169 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -x**3\/3 + 15*x**2\/2 - 11*x - 3. Let a be v(14). Suppose 0 = 4*i - a*m, 3*m - 27 = -3*i - 2*i. Solve 2*h - 1 = -i for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -7*x. Solve -5*r + 3*r - 6 = x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**4\/12 - y**3 + y**2 + 4*y. Suppose -4*f + f = -12. What is u(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 14, 4 in decreasing order.\nAnswer: 14, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + 1. Let c(s) = -3. Suppose -6*m - 262 = -250. Give m*z(j) + c(j).\nAnswer: -2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.62158 to one decimal place.\nAnswer: 6.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74086 is divided by 259?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/30 and -163\/7140.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 3, -34.35?\nAnswer: -34.35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 w, and 1 r when three letters picked without replacement from {w: 1, r: 2, c: 4, m: 1, b: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21475 + -11402. What are the prime factors of a?\nAnswer: 7, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 148, 146?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1.2681739 or -2\/3?\nAnswer: 1.2681739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 8*q. Let g(b) = -1. Let a(u) = -7 + 169*u + 6 + 6*u - 14. Let n(w) = a(w) - 15*g(w). Let t(i) = -6*n(i) + 130*r(i). Give t(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 4896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2021)\/16770 - (-30)\/(-900).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 352848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, i: 1, q: 4, e: 1}. What is prob of picking 1 q and 1 r?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 14) in base 13?\nAnswer: -145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1081355*s + 2 + 157199*s + 1.\nAnswer: -924156*s + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19382*x**3 - 17053*x**3 + 10*x**2 + 36447*x**3 - 10*x**2.\nAnswer: 12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -998 - 995 + 1990 + 10*r. Determine z(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/7)\/(88\/(-308)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + -2 + -7.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -145aa (base 13) to base 6.\nAnswer: -453250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**4\/4 - 22*g**2. Let n(c) be the second derivative of -c**3\/3 - 2*c. What is n(v(o))?\nAnswer: 12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(60\/305))\/(2\/(-72)). Suppose 10*s = -2*s + z. List the prime factors of s.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -41, 10\/13, 2\/5 in decreasing order.\nAnswer: 10\/13, 2\/5, -1, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51384602?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77361 by 3.\nAnswer: -25787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, -2, 5 in decreasing order.\nAnswer: 5, -2, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fdfd when four letters picked without replacement from fffffddddffdff.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*c - 4*o - 5112, 3*o - 5112 = -4*c. Does 71 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35921 is divided by 17884.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 478867.4 rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, w: 4, a: 2, x: 4}. What is prob of picking 3 w?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-3 - (-216)\/64)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*b - 6514 = -116 + 1724 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 5*b - 11. Give s(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 731*w**4\/12 - 65*w**3\/6 - 534*w. Find the second derivative of n(o) wrt o.\nAnswer: 1462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -10 + 3*q**2 + q**3 + 12 - 2*q - 3*q. Determine s(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 14*p**2 - 1688*p + 23390. What is j(16)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 123125472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*y**4 + 0 + 0 + (-y + 2*y**2 + y)*(-y**2 + 2*y**2 - 2*y**2) + y**4 + 0*y**3 + 0*y**3 - 2*y**2 + y**2 - 4*y**2 + 2*y**4.\nAnswer: 11*y**4 - 5*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72 - 610*p**2 - 34 - 38 + (0*p + 0*p + p**2)*(3 + 2 - 3))*(-5*p**3 + p - p).\nAnswer: 3040*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288156850 by -5.\nAnswer: -57631370","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -281111, -562215, -843319?\nAnswer: -1124423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 0 (c) -1\/76 (d) -5 (e) 56 (f) -33\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 2.7 (c) -2 (d) -0.3 (e) -5 (f) -128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 6:14 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 29 = 3*h, 0 = -3*h + 4*c - 3*c + 25. Let f be 18\/h + 1\/(-4). Let v(r) = -f + 2 + 4*r**2. Let s(t) = t. What is v(s(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/10 and 61\/1645.\nAnswer: 3290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 2:57 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -10*o**5 - 3*o**4 - 3*o**3 + 8*o + 3. Let q(j) = -j**5 + j**4 + j**3 + j - 1. Let p(h) = 3*q(h) + y(h). What is the second derivative of p(u) wrt u?\nAnswer: -260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -378 - -413. Which is smaller: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, g: 2, u: 2, w: 7, a: 2}. What is prob of picking 1 a, 1 c, 1 u, and 1 g?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2. Let g(z) = -5*z + 3*z - 5*z - z. Determine x(g(j)).\nAnswer: 128*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(720)*3)**2.\nAnswer: 6483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 - (23 + 29) - -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + -30. Let k = t + 71. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h - 0*h + 30. Let l(z) = -z**3 + 4*z**2 - 2*z - 1. Let c = -7 + 9. What is the lowest common multiple of h and l(c)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3*i - 3)*(1 + 2 - 4)*(346*i - 1089*i + 483*i).\nAnswer: -780*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4340 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqqy when four letters picked without replacement from eennnyqnenqye.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o + 2*o - 27 = 0. Factor 7*i**2 - 4 - o*i - 6*i**2 + 6.\nAnswer: (i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2\/15, -0.3, 5.7, -5, 24.326?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7386*f + 7386*f + 21*f**2.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4337, -2\/9, 4, 2\/11.\nAnswer: -2\/9, 2\/11, 4, 4337","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2950471 and 14512.\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*x - 21. Let z = 69\/17 + -173\/51. Sort z, x, -0.4, 3.\nAnswer: x, -0.4, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + d + 1. Let c(r) = 11*r**4 + 37*r**3 + 39*r**2 + 19*r + 4. Let i(q) = 3*c(q) - 6*z(q). Determine g so that i(g) = 0.\nAnswer: -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s = 120. Does 4 divide (64\/(-3))\/(s\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*n**3 + 1 - 1)*(n + 2 + 18*n + 10*n) in the form j + o*n**2 + y*n + f*n**3 + x*n**4 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -22. Let y be (0 - (185\/25 - 5))*-55. Let d = y - 118. Calculate the smallest common multiple of n and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g + 3*g**2 - 60 - 2*g**2 - 2*g**2. Let n be q(0). Let y be 960000\/((9\/n)\/(-1)). What is y rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**0*d)\/(d\/d**(-2)*d))**(-19)\/(((d**(2\/5)\/d)\/(d**2*d))\/(d*d**1)**(-16)) assuming d is positive.\nAnswer: d**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*d - 21*d + 74*d + 7*d + 10*d to the form s + c*d and give c.\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 46 - -93073?\nAnswer: 93109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**4 - 40*r**3 + 68*r**2 - 32*r = 0. What is r?\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 k, and 1 m when four letters picked without replacement from mmoaomkoooah.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) -2 (c) -4\/5 (d) 1\/14 (e) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3.91 * 120713\nAnswer: -471987.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -5. Let q be (x\/3)\/((-2)\/30). Suppose -b = -q*b + 4. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*z + 4*z + 2*z)*(2 - 4 - 9)*(-4 + 2 - 1)*(0 + 1 - 3) to the form r*z + t and give r.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -16 - (8 + 1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + (8 - 7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/19523 and 41\/70.\nAnswer: 195230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ulljuwljwlll. Give prob of sequence jll.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -403*n = 3*c - 400*n + 3, -3*c = -127*n - 335*n - 2787 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3711 is divided by 74?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2216 - -2218. Factor 1 - 1\/2*c - 1\/2*c**d.\nAnswer: -(c - 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 827, -23, 2, -1, -5, 0, 3 in ascending order.\nAnswer: -23, -5, -1, 0, 2, 3, 827","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*5*(18 + -21). Solve n*l + 6 + 84 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 3*f + 5. Let g be a(5). Let m = g - -11. Is 5 a factor of 9 + -1*(m - 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 2*v, 2*v + 3 - 5 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(3\/4)*a)\/a**(5\/3)*(a\/(a*a**(-1\/6)*a))\/a**(-4) assuming a is positive.\nAnswer: a**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2939, 11361, 25271, 44669, 69555, 99929?\nAnswer: 135791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.052 - -0.05752. What is l rounded to four decimal places?\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-186)\/651)\/((-4)\/(-196)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*m - 197*m + 573*m**3 + 3*m**2 - 422.\nAnswer: 573*m**3 + 3*m**2 - 422","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 21*p = -396. Suppose 2*k + 2*k = 0. Suppose 3*o - 5*o + 24 = k. Calculate the greatest common factor of p and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 765 and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 4*g - 534227, 2*x = 4*g + 402938 - 46760. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 112 = 20. Suppose 3*z + 3*w = -f, -2*z + 3*w + 2*w = -6. Let q = -1 - z. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 379 = 379?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 - ((-72)\/(-4))\/(-6 - -4). Suppose 4*c - 5*g = -19, 5*g + 69 = -2*c - 2*c. Let n = c - -14. Solve -n*t - 2*o = 8, 0*t - 4*o - 16 = -r*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5562, -5504, -5432, -5340, -5222, -5072?\nAnswer: -4884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36338573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-6))\/((-130)\/(-1560)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 7*f**2 + 10. Let z be r(7). Suppose -242 - 99 = -26*h - 5*h. Solve h*y - 23 = z for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, -4124, 5, -35?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 3:49 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d = 5*x + 9*d - 21, -x - 2*d + 7 = 0. Suppose -t = 2*t + x. Let p be -2 + (-15)\/(-5) - t. Solve -5*a = -2*c - 20, a + p*c = -a + 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2270*w**3 + 3*w**2 - 230?\nAnswer: 13620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/50908 and -51\/104.\nAnswer: 101816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -7*k**2\/4 - 2613*k\/4 - 373\/2 = 0.\nAnswer: -373, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 AM and 12:41 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4127 is divided by 1900?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + 13. Solve -2*q - l*q + 5 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 2\/23 (c) 1\/9 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -253872 < -253874?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5521913185 to the power of 1\/2, to the nearest integer?\nAnswer: 74310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (-159 + -6) - 6. Suppose -5*j = 5*i - n, 4*i + 5*j - 28 = 95. Solve 4*p + 0*p - t = -20, -5*t + i = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - 1 - 4*f - 2*f + f + 11*f. Suppose z - 29 = 4*m, -3*m - 68 = -4*z - 17. Let u(a) = -2*a**2 - 13*a + 2. Determine z*l(o) + 4*u(o).\nAnswer: o**2 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9793 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 440242430 (base 5) to base 16\nAnswer: 1cbfd3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6208.3808 + 6218. Let r = 0.1492 - z. What is r rounded to zero dps?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6}. Give prob of picking 3 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 228281314?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -13*w + 2*w. Let p be (-1791)\/(-252) - (-8)\/28*-3. Is w greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5695168 and 1460?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(2\/13)\/f)\/f**15)\/((f*f**(1\/8)*f)\/(f**(-5\/2)\/f)))**21 assuming f is positive.\nAnswer: f**(-46893\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -81? (a) 5 (b) 1\/5 (c) 26 (d) -0.7 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1106)\/48 - (-101)\/2424.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-106)\/(-4) + 3\/2 and 22.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/50 and 91\/1185?\nAnswer: 11850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 1. Find the common denominator of 93\/22 and (-86)\/32 - n\/(-1).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19531493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of o**5\/120 - 5*o**3\/6 + 2*o**2. Let c(k) be the first derivative of i(k). Let r(u) = 2*u - 4*u - 2*u. Determine c(r(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001559 to seven decimal places.\nAnswer: -0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 8. Let y(m) = -1. Let l(k) = -2*d(k) - 18*y(k). Let i be l(0). Solve c - i = -3*z - 1, 4*z + 6 = -5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 121210011122 (base 3) to base 16.\nAnswer: 50a7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 139 = 181 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33130257335.004017 + 33130282925. Let k = s + -25601.996. Let q = k + 12. What is q rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 805919.76s to hours.\nAnswer: 223.8666","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2951, -6129, -9309, -12491, -15675, -18861, -22049?\nAnswer: -25239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 15582563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2263 - -2267. Factor 2\/9*f**2 + 18 - y*f.\nAnswer: 2*(f - 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53135*v - 7 + 2*v**2 + 7 + 0*v**2 + 53135*v.\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 2*(sqrt(108)*2*6 + 2))**2.\nAnswer: 864*sqrt(3) + 62217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2774615\/174 + -15946. What is the common denominator of z and 101\/66?\nAnswer: 1914","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(32) + 0 - (1*sqrt(2) + 2)).\nAnswer: 2 + 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 times -12?\nAnswer: -564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 25 = -q + 5*w, 2*q = -4*w - 18. Let y = 9 - q. Suppose 6*z = y*z - 196. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/2)\/4*(2 + 1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c**2. Let f(z) = -z. Let j(v) = 5*v. Let x(m) = -11*f(m) - 2*j(m). Give x(h(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*f**2*o - 51*f**2 + 3*o wrt o.\nAnswer: -3*f**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 309*f*i**4 + 2*f*i**2 + 776*f*i + 4*f - 5*i**5 + 3*i**3 - i**2 wrt i?\nAnswer: 7416*f*i - 300*i**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 2*m = -6. Suppose -m*z - 2 = -p - 4, 8 = -z + 5*p. Let l(y) = -9*y**2 + y. Let s(j) = -4*j**2. Calculate z*l(q) - 5*s(q).\nAnswer: 2*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -14647*u**2 + 29291*u**2 - 14657*u**2. Let o(z) = 2*z**2 - 14. Determine a(o(p)).\nAnswer: -52*p**4 + 728*p**2 - 2548","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 4.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*s**2 + 34710 - 34710.\nAnswer: -34*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, -203, -2, 0.5 in ascending order.\nAnswer: -203, -3, -2, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53 by 2018236.\nAnswer: -53\/2018236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55 + 706 = 93*q. Let r(y) = -11*y + 23. Calculate r(q).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i = -9*i + 4*i - 187. Solve -45 = 8*b + i for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1322046 divided by 661023.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2095952 - 354.5324\nAnswer: 2095597.4676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -130576.867192.\nAnswer: -130577.867192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44689 is divided by 52.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.7422784 and 4.881?\nAnswer: 5.6232784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-18)\/x**18*((x*x**(1\/24)*x)\/x)\/x**(-2) assuming x is positive.\nAnswer: x**(-791\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/2 + (-9)\/(-9). Let a = -2.02 - -0.02. Let h = 265\/18 - 29\/2. Put a, r, h in descending order.\nAnswer: h, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/65)\/((-2)\/(-8)). Let p = -141115 + 141114. Is l bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -13, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 1. Let l = 15 - a. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -10 + (-4 - -7) + 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 110556 divided by -1494?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -209379*t**3 + 209379*t**3 - 594*t**5 + (2*t**2 - 2*t**2 + 2*t**4)*(3*t - 3*t - t).\nAnswer: -596*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40712861 to the nearest integer?\nAnswer: 6381","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from iqqiqinq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t. Let m(u) = 1044032*u**2. Calculate d(m(h)).\nAnswer: 3132096*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**4\/20 - n**3\/5 + 3*n**2\/10 + 25*n. Factor p(t).\nAnswer: 3*(t - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.023459 and -7?\nAnswer: 0.164213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1789.746 kilometers?\nAnswer: 178974600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 2 - 12 = 0. Let j(x) = -5*x**2 + 5*x + 2*x**2 + 3*x**2 + 5 + x**2. Is j(o) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -201116 + -24?\nAnswer: -201142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 290 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1564 != 670?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*i**3 - 8*i**3 + 9*i**3)*(0 + 3 - 1).\nAnswer: 30*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250*h + 249*h + 7339 = -4*g, -5*g = 3*h - 22034. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*m + 23 = -m, -4*w - 4*m = -20. Suppose 2*i = -w*i + 120. Suppose -5 = -5*x, -5*v - x = x - i. Solve 0 = b + 3 - v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + r + 4*r)*(-r + 0*r + 0*r).\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -2*b + 165. Suppose 4*k - 32 = -4*i, 4*i - 4*k = b + 39. Let q = 0 + i. What is the remainder when q is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8.474 - -1.526. Let s be (-1)\/(-2)*(6 + 4). Which is the second biggest value? (a) w (b) 1\/4 (c) 0.1 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t = 3410 + 1614. What is the lowest common multiple of t and 1?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/4)\/(14\/(-1092)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-15)\/(-2))\/(((-108)\/128)\/9). Let y = d + 89. Let k(a) = a**2 - 11*a + 9. What is k(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -30583, -239426, -806279, -1910146, -3730031?\nAnswer: -6444938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 705553 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 14071, 14078, 14089, 14104?\n\"Answer: 2*y**2 + y + 14068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*x - 21 = -3*x, -15 = 5*s - 5*x. Let g be -3 + (10 - s) + -2. Solve -3*t + g*t = 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (17\/((-34)\/8) - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1117*z**3 + 246*z**2 - 4069789*z wrt z?\nAnswer: -6702*z + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*j**5 + 1858*j**4 + 3006*j**3 - 18986*j**2 + 6102*j + 8056 = 0. Calculate j.\nAnswer: -4, -1\/2, 1, 19\/9, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 40592.68 millimeters?\nAnswer: 0.04059268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 517639429?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28139951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 214.88 - 218. Let z = -2.82 - w. What is the second biggest value in 1\/4, z, -7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5533 = -19*a + 123181. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 4*y - 1. Let u(i) = i**2 + i + 1. Let t(z) = -j(z) + 4*u(z). Let k(q) = -1. What is 5*k(n) + t(n)?\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12250 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -0.5, -0.047?\nAnswer: -0.047","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 182 - 151. What is the highest common divisor of 31 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2181502?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15057, -60843, -137153, -243987?\nAnswer: -381345","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 - 4*j**2 - 4*j + 6. Suppose 0 = 134*l - 108*l - 130. What is m(l)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 33*p**2 + 231*p - 10. Determine w(-10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006243142607 to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/11))**(-36)*((b\/(b\/b**13))\/b)\/b*b\/(b*b\/(b*b*b*b**(-6))))**21 assuming b is positive.\nAnswer: b**(3129\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -55260 (base 7) to base 13.\nAnswer: -6402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - w**2 + 3*w - 4. Let n be o(-3). What is the first derivative of n*m**4 + m**4 - 3*m**4 + 1 + 0 wrt m?\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = -48*a + 319 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 26 = 5*f - 38, -t + f = -7. Let v = 51 + t. Let d = v + -60. Sort 15, -3, d in increasing order.\nAnswer: -3, d, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 285783786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31290 and 40.\nAnswer: 125160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**2*q*x + 3*j**2*q + 6*j**2*x**3 - 14*j*q*x + 2*j + 5*x**3 wrt j?\nAnswer: -4*q*x + 6*q + 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252086 and 12050.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44340923.\nAnswer: 11, 4030993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 8338857?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1210001 (base 4) to base 7\nAnswer: -24443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 3 (c) 2.8 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(7*(-9)\/147).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*k + 2*k + 159*k**2 - 3*k + 12 - 2*k - 202*k**2 to u + x*k**2 + v*k and give x.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3646435 and 65845.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 r when three letters picked without replacement from {b: 1, w: 4, q: 2, s: 2, r: 6, m: 4}?\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*y - 95*y - 126 = 0. Let a be (3 + 28\/(-8))*(-23 + 1). Solve -4*x - a - y = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 1283*q**6\/120 - 13*q**5\/30 + 13*q**3\/2 - 1514*q**2. Find the third derivative of z(f) wrt f.\nAnswer: 7698","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31\/(-5) + 114\/95?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 - 5)*(-25*i**2 - 4 + 4) + 3*i**2 - 153*i + 153*i as w*i**2 + b*i + f and give w.\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -10*s - 35 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 - 16*o**2 - o - 113. Calculate the lowest common multiple of g(-12) and 5.\nAnswer: 5255","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-4)*(-6)\/45. Let k(r) be the second derivative of f*r**3 + 0 - 1\/100*r**5 + 0*r**2 + 1\/60*r**4 - 3*r. Factor k(p).\nAnswer: -p*(p - 2)*(p + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*a**4*p**2 - 8*a**3*p**2 - 79*a**3*p - 24*a**2*p**2 - 3*a**2 + 57*a*p**2 wrt a?\nAnswer: 144*a*p**2 - 48*p**2 - 474*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334*q = 330*q + 832. What is the remainder when 273 is divided by q\/(-78)*69\/(-4) + 0?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 119949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 444512376 a multiple of 296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5949107 = -33*o - 64*o. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**4 - 4*g - 6. Let p(o) = -7*o**4 + 7*o + 13. Let k(d) = 7*l(d) + 4*p(d). What is the derivative of k(u) wrt u?\nAnswer: -28*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25117624 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49\/5 - -10. Let f(x) be the first derivative of -l*x**5 - x + 1 + 0*x**4 + 0*x**2 + 0*x**3. What is the derivative of f(i) wrt i?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-29 - -4 - -18) - (2 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, b: 10}. Give prob of picking 2 b and 1 h.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from biyabddldbibii. What is prob of picking 1 b, 1 l, 1 d, and 1 y?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 82.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*o)**(-49)\/(o\/(o*o**(-2\/5))*o**(-5)) assuming o is positive.\nAnswer: o**(23\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 480\/17 or -2\/169?\nAnswer: -2\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*h + 15. Let t(s) = -s**3 + 3*s**2. Let g be t(h). Suppose 3*r - 5*r = g. Which is smaller: r or 1\/19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.016 in 2, 23\/7, -1\/2, 13\/5?\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + j + 1303, -15 + 6 = 3*j. Let c = 0 + 4. Suppose -244 = -2*i + c*t, -2*t - k = -3*i + 114. Is 39 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -4*j**2 + 8*j - 30. Let k be v(3). What are the prime factors of (560\/(-8))\/(3\/k)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5 - 3. Let b = -0.2 - -0.1. Let f = 0.1 - b. Sort u, 6\/11, f in descending order.\nAnswer: 6\/11, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*q**3 + 23469*q**2 + 24478*q + 960.\nAnswer: -(q - 480)*(q + 1)*(49*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 411 (base 8) to base 3\nAnswer: 100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/11025 and 1\/2499?\nAnswer: 187425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/255)\/(14\/42)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 43*j + 4010. Let v be w(-100). Which is smaller: v or -280?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1795 + 30\/(-6) + 5. Suppose 0 = 4*o - g - 1421, -3*g - x = -5*o + 2*g. Suppose -o = 5*q - 1829. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j = 2*f - 10, 0 = -4*f + 5*j - 2. Let h = 8 + -2. Let t = -9 + h. Put t, f, 3 in ascending order.\nAnswer: t, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*k = 24*k + 126. Is (6 + k)\/((-4)\/(-32)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 222285 and 18907?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -726090913874.91+-0.4\nAnswer: -726090913875.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50, -9, 32, 73, 114, 155?\nAnswer: 196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -322100 to the nearest 10000.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-2*(sqrt(6) - sqrt(54)))\/((sqrt(200) + (sqrt(200) - (sqrt(200) - -1*sqrt(200))) - sqrt(200))*-5).\nAnswer: 4*sqrt(3)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 310470 to the nearest 10000.\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*u**5 + 68*u - 18*u**2 - 68*u wrt u.\nAnswer: 780*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.05938 - 0.0142.\nAnswer: -0.07358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81687946 to the nearest integer?\nAnswer: 9038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -3127.829 to the nearest ten.\nAnswer: -3130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2 = -4*z, 0 = -4*d - 3*z + 2*z - 22. Let o(l) = -l**2 - 7*l - 2. Calculate o(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 3340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 240 = 7*r. Let c be (-2)\/(r\/45 + -2). Solve -5*g + 6 + c = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 298344727 to the nearest integer?\nAnswer: 668","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6763 - 6887 = 201284*h - 201739*h for h.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -67943374731891.\nAnswer: -67943374731890.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011 (base 2) in base 11?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1046 + 3?\nAnswer: -1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202 (base 3) to base 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 183.\nAnswer: 54.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, g: 3, e: 1, r: 4, f: 1, i: 4}. What is prob of sequence frl?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3137 + -3130. Solve -715*c = -722*c + v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5877637?\nAnswer: 41, 143357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 207570 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: Sort -25, 2\/11, -1, 1\/9 in descending order.\nAnswer: 2\/11, 1\/9, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 less than -49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*l + 491 = 44*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 229504928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 123809, 247603, 371397, 495191, 618985, 742779?\n\"Answer: 123794*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -615, -537, -327, 81, 753, 1755?\nAnswer: 3153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.29 + 0.3. Let j = -38.29 + 38. Let q = j - p. Which is the smallest value? (a) -0.4 (b) -0.1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-181)\/(-3258) - 10\/(-1116)?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**22\/c**(-11)*(c*c\/(c\/(c\/(c*c**(-4\/5))))*c)\/c*c**(1\/3) assuming c is positive.\nAnswer: c**(527\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44945147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**4 - 877*z**3 - 871*z**2 + 4377*z - 2628 = 0 for z.\nAnswer: -876, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3070 is divided by 1022?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*t**2 - 4*t**4 + 46005*t - 46017*t + 3*t**2 - 7*t**2 to j*t + p*t**2 + r*t**3 + k*t**4 + g and give p.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in twenty-six fifths of a gram?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 139*g - 233. Let o(c) = -45*c + 1. What is 3*o(q) + z(q)?\nAnswer: 4*q - 230","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31, -68, -313, -776, -1529, -2644, -4193, -6248?\nAnswer: -8881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 7*r - 11. Suppose 150*q - 164*q + 56 = 0. Give v(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1449.61245 rounded to the nearest 100?\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1155158 at least as big as 157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 4:51 AM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-49511)\/(-28))\/11 - (-7)\/28*5. Sort j, 1\/8, 1 in decreasing order.\nAnswer: j, 1, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1634, 3258, 4884, 6512, 8142, 9774, 11408?\n\"Answer: d**2 + 1621*d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from medmmmuumxdmmmmdmq. What is prob of picking 2 u and 1 d?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/28 + 23\/(-7). Let s be b\/2 - 339\/(-6). Suppose -2*m + m = -11. What is the greatest common factor of m and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 7*b**2 - b + 13. Calculate the smallest common multiple of v(-7) and 1*1\/(-1) - -9.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 259 = 5*f, -3*h = -8*h + f + 659. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1111202210 (base 3) in base 10?\nAnswer: 29721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*b - 68454*b**3 + 21*b - 69657*b**3.\nAnswer: -138111*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (-110514)\/(-21) + 16\/(-28) - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -302, -1149, -2544, -4469, -6906, -9837, -13244?\nAnswer: -17109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 39017, 38561, 38103, 37643, 37181, 36717?\n\"Answer: -h**2 - 453*h + 39471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68)\/sqrt(4)*-2*6.\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 3*c + 5. Let n be (c\/7 - -2) + 2. Factor -n*w**2 + 0*w + 2\/7*w**3 - 2\/7*w**5 + 0 + 2\/7*w**4.\nAnswer: -2*w**2*(w - 1)**2*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34712 is divided by 34644?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/7)\/i)\/i)**(-2\/19)\/(((i\/(i*i**(1\/13))*i)\/i*i)\/(i**2\/i)) assuming i is positive.\nAnswer: i**(549\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.79 bigger than -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 8*b**5 + 19900*b**4 + 12410080*b**3 + 43231520*b**2 + 24641280*b - 24681024 = 0.\nAnswer: -1242, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bdb when three letters picked without replacement from gbdgdgbgdbdgggbg?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minus -48513279.699?\nAnswer: 48513317.699","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2324075 is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*s**3 + 13*s**3 + 8*s**3.\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1708 and -0.4.\nAnswer: 0.06832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (39\/((-56511)\/84))\/((-196)\/(-126)*-3)\nAnswer: 2\/161","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 21 (b) 1 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -157600 divided by -1970?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 19*l**3 - 95*l**2 + 16*l + 12. Calculate c(5).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/2835 and 109\/1020.\nAnswer: 192780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oooooooooooyo?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 110020 (base 4) to base 3\nAnswer: 1202201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -216 + 409. Suppose g = 5*r - r + c, 4*r + 197 = 5*g. Let w = r - -48. Which is bigger: w or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -6134*0.4.\nAnswer: -2453.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 291 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6\/4)\/((-3)\/(-4)). Suppose -f + 5500 = m*h - 9502, -3*f - 3*h = -45003. Round f to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*z = 221*z - 443*z + 11858. What is the greatest common divisor of z and 168?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/88781 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 398357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lhbuul. What is prob of picking 1 b and 1 l?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (3*sqrt(192)*1 - -2*(-2 + sqrt(192))) + -2)**2.\nAnswer: -800*sqrt(3) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 97709 and 2386030592?\nAnswer: 2385932883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5302.2 + -5885. What is s rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vfrd when four letters picked without replacement from rfvvvfrdddvdv?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2785\/11 - -253. Let n = -80.15 - -5.55. Let o = 74.3 + n. Which is the biggest value? (a) o (b) 0.5 (c) -1\/5 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = -4*j - 6 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4699555 is divided by 4801.\nAnswer: 4177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(19)*-3)**2 + -2 + -3*sqrt(19).\nAnswer: -3*sqrt(19) + 2734","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 473*l - 3727. What are the prime factors of s(9)?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/850285 and 88\/15.\nAnswer: 2550855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**3\/4 + 498*u**2 + 1993*u\/4 = 0.\nAnswer: -1, 0, 1993","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21292 - 233936\/11. Let q be (-4283)\/(-198) - (12 - 530\/45). Let p = q + z. Find the common denominator of p and 29\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2765 - 2780. Let k(y) = y**2 + 13*y + 14. Determine k(c).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 63*y**2 + 56*y**2 + 1 + 3*y - 10*y - 117*y**2 - 6*y as q*y**2 + z + v*y and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, j: 2, l: 1, w: 1}. What is prob of sequence jw?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 5 + 9277*h + h**3 - 1 - h**2 - 9276*h. Determine w(3).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31649800 rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -44, -160, -350, -614?\n\"Answer: -37*z**2 - 5*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6100, 6100, 6116, 6154, 6220, 6320, 6460?\n\"Answer: p**3 + 2*p**2 - 13*p + 6110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 - -81. Let f = o + 53. What is the units digit of 111\/f + 6\/(-21)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*v - 4*v - v + v**3 + (-3*v**2 + 2*v**2 + 3*v**2)*(-2*v + 0*v + 0*v).\nAnswer: -3*v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 - 2*u**2 + 3*u - 1. Let h be o(2). Suppose 4*l + 2*y = 26, y - h = -0*y. Let k(w) = w**3 - 3*w**2 + 1. What are the prime factors of k(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a decade in months?\nAnswer: 1296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14841*h + 13305*h + 275*h**2 + 4*h**4 + 772*h**3 + 485*h**2.\nAnswer: 4*h*(h - 1)*(h + 2)*(h + 192)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 2*b**2 + 10*b + 13. Let t(v) = -v**3 + 3*v**2 + 9*v + 13. Let g(f) = 5*c(f) - 6*t(f). Suppose 15 = 4*x - 21. List the prime factors of g(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (8\/(-10))\/((-4)\/20). Suppose -k*h - 4*b + 1 = -35, -4*b - 16 = 0. Calculate the remainder when h is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = -3*c + 5*n, 0 = 3*c + c + 5*n - 33. Suppose 5*x + 3*k + 15 = -2*k, -5*x - c*k - 6 = 0. Suppose x*f - 3*f + 27 = 0. Solve -3*a + 0*a - f = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47680, 49657, 51632, 53605?\nAnswer: 55576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179326 = 11*u - 33733. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2.73 - -2.83. What is the nearest to w in -4.6, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076078 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 5\/2)*4. Suppose -m - 2*o - 2 + 1 = 0, 0 = m + 3*o - 3. Let y be (2\/2)\/((-1)\/m). Solve -n*z = z - y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**3\/3 - 45*z**2\/2 + 506*z - 2009. Find v such that s(v) = 0.\nAnswer: 22, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by -1.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -162 + 297. Suppose -5*c + n - 2*n = -72, 0 = -2*c + 3*n + 39. What is the greatest common factor of w and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1946?\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:22 PM and 9:42 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 5*x - 11*x + 736*x**3 + 6*x.\nAnswer: 736*x**3 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4840, -9697, -14554, -19411, -24268, -29125?\n\"Answer: -4857*o + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 288 + -759. Let d = -331 - u. Is d a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3\/3 - 138206*v**2\/3 - 276409*v\/3 - 46068 = 0. Calculate v.\nAnswer: -138204, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305202 is divided by 305088?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 652229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.667 + -31.233. Let s = m - -32. Which is the smallest value? (a) s (b) 5 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 2286898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7940\/6550*10\/(-32). Let w = 1\/262 + c. Is -1 at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4, 0 = u - 4*m + 91 - 19. Suppose 2*g - 9488 = 2*p + 70806, 2*p + 4*g = -80312. Is p\/u + (-2)\/(-16) + -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39, -268, -891, -2106, -4111, -7104?\n\"Answer: -33*u**3 + u**2 - u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 64 and 377056.\nAnswer: 754112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 525114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -242 + 448 + 5301*x - 206. Let f(m) = -2*m**2. Give f(v(n)).\nAnswer: -56201202*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -594 = -5*z - 154. Suppose a + 3*a = z. Let w = 26 - -29. What is the greatest common factor of w and a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -0.4, 58 in increasing order.\nAnswer: -0.4, 3, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4*w = 61, -g + 2*w + 37 = 2*g. Let p(n) = 2*n**2 - 17*n - 47. Let c be p(g). Suppose -c*h + 153*h - 905 = 0. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 16*t**2 + t + 23. Let w = -2 + -14. Calculate the remainder when 19 is divided by n(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24198, 97193, 218960, 389499, 608810, 876893?\nAnswer: 1193748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3842962732 to the nearest integer?\nAnswer: 1566","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:50 AM and 3:14 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 168?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 56 + 19. Let m(g) = -6*g + 156. Let b be m(d). Solve b*c - c + 2*y = 2, -2*c = -4*y - 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**4\/4 - 4*x**3\/3 - 4*x**2 + 5*x - 88. What is r(5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 11) to base 10\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000239472963 rounded to 6 decimal places?\nAnswer: 0.000239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 263616.4 rounded to the nearest 1000?\nAnswer: 264000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2197 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/105 and 43\/90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 230443 - -30?\nAnswer: 231023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7*d**4*d)**(6\/13) assuming d is positive.\nAnswer: d**(72\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**3\/2 + 7617*v**2\/2 + 7261848*v + 36214090 = 0. What is v?\nAnswer: -3806, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*((d\/(d**(-1\/22)\/d)*d)\/d)\/d*d*d*(d\/(d\/d**(1\/17)))\/d assuming d is positive.\nAnswer: d**(1535\/374)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3117553 (base 9) to base 3\nAnswer: 10010121121210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -120 (c) -7 (d) -5 (e) 2 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3185407?\nAnswer: 19, 359, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20696, 0.3, -1\/7, 1\/21, 2 in decreasing order.\nAnswer: 20696, 2, 0.3, 1\/21, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 772236 and 686432?\nAnswer: 6177888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -5238\nAnswer: -1\/873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s**(1\/20)\/s))\/s*s)\/(s*s*s**(1\/6)*s*s) assuming s is positive.\nAnswer: s**(-133\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in twenty-one quarters of a milligram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2064*m - 39728 - 99965 = 66346 - 24407 for m.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b. Suppose -6*d - 3*d = 13*d. Let v(y) be the first derivative of 3\/2*y**2 - 3 + d*y. Determine p(v(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 2*z**2 - 2*z + 5. Let s(q) = -6*q**2 - 5*q - 2. Let j be s(-2). Let k(b) = 2*b + 32. Let w be k(j). Let d be l(w). Solve 4*h = -h + d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59220468 - -0.3\nAnswer: 59220468.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -594 + 596. Let g = 89 + -797\/9. Find u, given that -g + 38\/9*u**3 - 44\/9*u**x + 22\/9*u - 4\/3*u**4 = 0.\nAnswer: 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -43, -2, -4 in ascending order.\nAnswer: -43, -4, -2, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*s = -1395 - 117. Sort -3, s, 5.\nAnswer: s, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 5*j**3\/6 - 2*j - 2. Let s(a) be the first derivative of t(a). Let k(r) = -r. Determine k(s(n)).\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000316437747 to 7 decimal places.\nAnswer: -0.0003164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/7 (b) 8 (c) -16 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47 + 12 - 59 + 0*s**2 + 2*s**2 to t + n*s + y*s**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -209 - -3892. What is the thousands digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 520 and 0.028.\nAnswer: 520.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nqqeexjn. What is prob of picking 1 q, 2 n, and 1 x?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -20646*o + 34. Let t be a(15). Let b be ((-21)\/(-434))\/(1\/t). Let w = -14982 - b. Calculate the common denominator of 23\/8 and w.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(5\/2)*s**9*s)**20\/((s\/s**0)**27\/(s\/s**(1\/2))**(-2\/139)) assuming s is positive.\nAnswer: s**(33776\/139)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqv when three letters picked without replacement from pexveuvveqvupee?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -46832 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 4 - 19. Let x(l) be the third derivative of l**5\/60 + 5*l**4\/24 + 2*l**3\/3 - 23*l**2. Calculate x(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 22 - 112*v**2 - 9 - 98*v**2.\nAnswer: -210*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1267317, 1267298, 1267245, 1267140, 1266965, 1266702, 1266333?\nAnswer: 1265840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 - 2*i**3 - i**3 + 6*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -144, -140, -134, -126, -116, -104?\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -101400 times -5?\nAnswer: 507000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -22*r. Let n(t) = 100069*t**2. What is d(n(y))?\nAnswer: -2201518*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -27*q**2 + 13*q**2 + 17*q**2. Let i(o) = 8*o**2. Determine i(d(l)).\nAnswer: 72*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 9*g**2 + 35*g + 16. Let r(a) = 8*a**2 + 34*a + 16. Let m(o) = -7*r(o) + 6*y(o). List the prime factors of m(-13).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5*((2*sqrt(242) + 3)*3 - (4*(1 + -1*sqrt(242)))**2).\nAnswer: -2090*sqrt(2) + 19399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 20*m - 20. What is r(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 - 6 - -12 - (44 - (45 - 17)).\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3527592885.\nAnswer: 3, 5, 78390953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 6:42 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -20976 > 262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*r - 3*z = 81*r + 36, 0 = -3*r - 3*z - 33 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -40 - 1. Suppose -2 = -2*o - 0, -4*q + 4*o = -4. Suppose -34 = -w - 4*m, -w - w = q*m - 38. Calculate the remainder when j is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tatttttttttttaia. Give prob of sequence it.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 2*q**3 + 4*q**2 - 17*q**2 - 5*q**2 - 14*q**3 to the form z + l*q**2 + f*q + s*q**3 and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z - 4*z + 3*z + (-2 + 0 - 2)*(-4*z + 4*z - 5*z) + (0*z + 3*z - 2*z)*(0 + 2 - 4).\nAnswer: 17*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 + 35)*(-2)\/(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84931406 and 1596.\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 307 is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 4087?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 121662\/(-47313)*56\/18?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 944.9105 hours to seconds.\nAnswer: 3401677.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * 10042.\nAnswer: -40168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3526*y + 1770*y - 92*y**3 + 1782*y + (2*y - y**3 - 2*y)*(-5 + 2 + 5).\nAnswer: -94*y**3 + 26*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pprr when four letters picked without replacement from pprpprrp.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 104093\nAnswer: -5\/104093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*m + 172*m = 0. Which is the closest to m? (a) -2 (b) -1 (c) -17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2465 and 85.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 0*y + y - 4*y. Let j(a) = -a**2 + 10*a - 5. Let g be j(9). Let h be (2\/3)\/(g\/(-18)). What is x(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 PM and 10:02 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/30 and -58\/585.\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 10*c**2 + 10*c - 9. Let x be (3 - 4)*-3 - 14. Let h be k(x). Suppose -h*g = -8*g + 12. Solve 0*w = -w + 2*r + 11, 14 = 4*w + g*r for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 - 25*v - 95. Let p be x(-5). What is the greatest common divisor of 6 and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1170 and 540.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*4*(sqrt(3) + 1 + -2 - (sqrt(12) + -1))**2.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4455\/195 + 4\/26. Suppose -4*l + 159 = 3*q, 3*l - 5*q = f + 60. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -358 - -388. Find the third derivative of -q*n + 23*n + 78*n**5 - 74*n**2 + 7*n wrt n.\nAnswer: 4680*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4502*l - 4498*l = 0. Let h(z) = 10*z + 64. Give h(l).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126 = -4*k - 3*r, 6*r = -3*k + 3*r + 93. What is the greatest common factor of 132 and k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0*((-6)\/(-4) + -2). Let p be 36\/42*28\/6. Suppose t + 10 = 2*t + 2*i, n = -p*t - 5*i + 34. Solve -3*r + t*r - 3 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 22221\nAnswer: 66663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 12 - 20 = -4*o, m + 2 = o. Determine n so that 6\/5*n**2 + m*n + 2\/5*n**3 - 8\/5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21312 + 222?\nAnswer: -21030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (-4 + 0 + 6 - 13)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41 - 21 + 16)*(-3*q + 0*q + 4*q + (1 + 3 - 2)*(q - 4*q + 2*q)) in the form g*q + c and give g.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4586*g - 13753. Let z be r(3). Let k = 0.572 - -0.008. Let i = -0.5 + k. Which is the third smallest value? (a) i (b) -0.1 (c) -0.3 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57761?\nAnswer: 11, 59, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102783639 is divided by 34261209?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 441 and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -82, -1.5, 37 in descending order.\nAnswer: 37, 3, -1.5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -30. What is the tens digit of 1\/(-2)*(5 - w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3\/2*w - 3\/2 + 9\/2*w**2 - 3\/2*w**3 - 3*w**4 = 0.\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -9*w**3 + 3*w**2 + 4*w. What is j(-2)?\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 + 9 - 3 + 0*g - 5*g - 12*g**2 + 8*g**2 to the form t*g**2 + m*g + r and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6*j**2 - 52*j. Let d(h) = -2452*h. Calculate d(k(o)).\nAnswer: -14712*o**2 + 127504*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -7*q**2. Let n(w) = -11*w**2. Determine b(n(y)).\nAnswer: -847*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (34\/136)\/(2\/32). Solve -k - 1 = a, -5*k = -6*a + n*a + 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -79 + 83. Let a(y) = -y**3 + 2*y**2 + 10*y - 3. Let s be a(q). Let l(b) = -b**2 + 7*b. Let f be l(7). Solve f = -2*t - t + 5*g - 12, -s*t + 8 = g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*t = -9*t + 1327 - 1452 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55059 is divided by 7864.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k - 3. Let r = -9 - -5. Let o(m) = m - 3. Determine r*i(p) + 5*o(p).\nAnswer: p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 12 = -0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 - o + 2. Suppose 30 = 3*w - 9*a + 13*a, 2*w + 5*a - 27 = 0. Suppose -h - 9 = 2*t, h - w*h = 5*t + 30. Determine l(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -3\/2, -3, -8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1436201, 11489714, 38777829, 91917848, 179527073, 310222806?\nAnswer: 492622349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a week in hours?\nAnswer: 1764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.00859um in meters?\nAnswer: 0.00006500859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 11. Let i = -0.3 + 0.2. Let k = 0.3 - i. Which is the biggest value? (a) -2\/7 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72755 (base 10) to base 9\nAnswer: 120718","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 5*t - 2. Let w(z) = -4495*z + 8987*z - z**2 - 4491*z. Calculate u(m) - 6*w(m).\nAnswer: 7*m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -881 - -1667. Let o = 785.6 - b. Put o, -3\/17, -3\/8, -4 in decreasing order.\nAnswer: -3\/17, -3\/8, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*h**3*x**3 + 77*h**3*x + 35*h*x + 3*x**3 wrt h?\nAnswer: 36*h*x**3 + 462*h*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180339 is divided by 178940.\nAnswer: 1399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s - 3. Let m be h(5). Suppose 4*f = f - m. Is 380\/(-25)*10\/f a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122999*r = -123002*r - 5*p + 7, -2 = -2*r - 2*p for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 353 - 1116. Let w = r + 12213\/16. Let h = 4558 - 54607\/12. Calculate the common denominator of h and w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -1 - 3*d + 3*d**2 - 6 + 9 - 2*d**2. Let w be b(2). Suppose 4*y = 8, 5*k - 2*y - 366 = -w*y. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uubgggbgbugug. What is prob of picking 4 u?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r, 1 v, and 1 x when four letters picked without replacement from {v: 1, b: 1, h: 8, r: 2, x: 2, z: 6}.\nAnswer: 2\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 84 = -0*h - h, 3*h - 252 = -5*c. Let w(b) = -5*b**2 + 41*b + 24. Let a be w(13). Let v = 310 + a. Calculate the remainder when h is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 148 and 508100.\nAnswer: 18799700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/175)\/(-1*32\/(-40))?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2034*i**4 - 936 - 9*i**5 + 4143*i**4 + 228*i + 1626*i**2 - 1101*i**3 - 1917*i**4 = 0. Calculate i.\nAnswer: -2\/3, 1, 2, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -5*h**3 + h**2 - h. Does 13 divide a(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5518976 is divided by 317?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -3\/5 (b) -44 (c) 5 (d) 15 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 1:14 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 6\/21367?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220009?\nAnswer: 220009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**4 + 4*j. Let g(x) = -8*x**4 - 12*x. Let s(t) = -4*g(t) - 11*q(t). Find the second derivative of s(w) wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 0 - 4 + 2*d + 8. Let n = 8 - 11. Let o be g(n). What is the third biggest value in 1\/2, 2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from {x: 1, f: 2, z: 1, c: 5, i: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q + 7. Let b(r) = -8 + 0 + r + 6. Give 7*b(j) + 2*x(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 280?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, c: 4, m: 2, w: 6, j: 4}. What is prob of picking 2 m and 1 c?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18 + (-2)\/(-1 - -2). Let h = a - 21. Let j(k) = k - 6. Let b be j(7). Put b, h, 8 in increasing order.\nAnswer: h, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 748*g**3 + 5*g + 56. Let q(u) = 187*u**3 + u + 14. Let y(f) = -9*q(f) + 2*w(f). Find the second derivative of y(s) wrt s.\nAnswer: -1122*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3*g - 213 = 0, g + 2*g = 0. Let z be (-12)\/(-66) - 299\/11. What is the remainder when n is divided by (-2)\/3 + (-666)\/z?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 - 1 - 48\/22. Let y = 639981\/7 - 91426. Let t = 0.3 - -0.2. Which is the second biggest value? (a) t (b) y (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j - 20. Let n(f) = 3*f - 10. Let k(u) = 5*n(u) - 2*x(u). Let m be k(12). What is the third derivative of 2*h**5 + m*h**5 + 11*h**2 - 12*h**2 wrt h?\nAnswer: 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*o - o - 3*o)*(3*o - 3*o + o) + o**2 + o**2 - 3*o**2 + 5 + o**2 + 0*o**2 + o**2.\nAnswer: 4*o**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 59*y**5\/15 + y**4\/12 - y**3\/6 + 12*y**2. Is x(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 825 divided by 275?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87520.\nAnswer: 2, 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 544201264.\nAnswer: 2, 137, 248267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 12:45 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0087 * 0.05.\nAnswer: -0.000435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 105\/18 + -1 + (-2)\/(-12). Suppose 0 = c*g - 130 + 5. What is the remainder when g is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3 and 0.88088?\nAnswer: 3.88088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21776 - -55868. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37598 by 3418.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 3}. What is prob of sequence ee?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*d**2 + 4*d**2 - 6*d**2 + 0*d**2 + 9*d**2 + 10*d**2 + (-4 + 4 + 4*d)*(1 + 2*d - 1) to the form i*d + u*d**2 + m and give u.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 16 - -1 - (40 - -82 - 84)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*j**6 + j**4 + 322*j**2 wrt j?\nAnswer: 10320*j**3 + 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 854 and 488?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*b - 30*b = -36. Let w(n) = -n**2 - 20*n + 18. Let l be w(b). Let i = l + -53. Solve -3*s + 2*s = i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 699*c**4\/4 + 1401*c**3\/4 + 705*c**2\/4 + 3*c\/4.\nAnswer: 3*c*(c + 1)**2*(233*c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 58960*j**2\/3 + 117923*j\/3 - 19654.\nAnswer: -(j - 1)**2*(j + 58962)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0.4. Let y = 0.08 + j. What is y rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*z - 12*z - 21*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 107? (a) -1.2 (b) -0.13 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*l - 201315765 = -166*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -328773217 divided by 4\nAnswer: -328773217\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2555.526 to 0 decimal places.\nAnswer: -2556","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y - 3. Let x(h) = -h - 4. Let d(z) = 7*f(z) - 5*x(z). Give d(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -8. Let c(n) be the second derivative of 0 - 1\/6*n**3 + 2*n - 1\/2*n**2. Give c(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.431 + -0.031. Let y = -31\/80 + 3\/16. Let t = 3.7 + -4. Which is the third biggest value? (a) g (b) y (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 342 and 1245?\nAnswer: 141930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -71.3.\nAnswer: -35.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 0*(-6)\/24. Let p(h) be the second derivative of -9*h**5\/10 + h**4\/12 - h**2\/2 - 2*h. Calculate p(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/30*4 + 33\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-28)\/((-20)\/5)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-8)*(16 - 12). Let t = 0.3 + -0.2. Which is the closest to t? (a) 2 (b) 3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 61, 23, -39, -131, -259, -429?\nAnswer: -647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 100*m**3 + 18*m**2 - 24*m + 6. Let x be d(1). Solve x*z - 18 = 91*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + 1. Let p = -60904.03699965 - -60919.037. Let o = p - u. What is o rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -29*g**3 - 2*g**2*m**2 - 2*g**2 + 10*m**2 - 3*m wrt g.\nAnswer: -87*g**2 - 4*g*m**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 531, 1844, 4415, 8664?\nAnswer: 15011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6845.5 + 6846. Let p be -1 + (83 - (-2 + 3)). Let r = p - 569\/7. What is the second biggest value in -1\/8, 3\/8, r, j?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29524, 58383, 87242, 116101, 144960?\nAnswer: 173819","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -519 + 541. Suppose -8*s = -10 - y. Solve -21*j + s = -20*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2121 (base 4) to base 5.\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 85?\nAnswer: -3\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*h = 33*h + 105 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t. Let b = 14 - 9. Suppose -4*p - 29 = -4*k - b, -5*k = -p - 18. Is w(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-8 + -11) - (-137 - -146)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*z - 30. Let o = 11 + z. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 8 = 3*q, 2*q - 164914*b = -164918*b - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2649528 is divided by 20225.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2100326866?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/((sqrt(96) - sqrt(6))*6)*5.\nAnswer: 5*sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 199*t - 27. Let k be v(3). Let x = k + -424. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*a + 4*a - 5*a)*(1154*a - 1154*a - 12*a**2) as q*a**3 + m*a**2 + o + x*a and give q.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1705*h*s**3 - 24*h*s**2 + 12*h wrt s.\nAnswer: 10230*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 21 * 9.\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.681096 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.44636136 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12\/30 - 123\/(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2083542, -2083535, -2083528, -2083521, -2083514?\n\"Answer: 7*r - 2083549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + 75. Suppose 4 = 5*m - 11. Suppose 5*y - 4*y = g - a, m*g + 2*y - 241 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 280.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 4\/9 (b) -0.07 (c) -133.94 (d) -2\/5 (e) -4 (f) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15 - -21. Let i(q) = -q**3 - 13*q**2 - 18*q + 47. Let v be i(-11). What is the greatest common divisor of t and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1991 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 + 51. What are the prime factors of y\/(1 + 2) - -22?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 988, 4444, -5.\nAnswer: -5, 988, 4444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -6*o - x, -4*x - 53 = -57 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o + 0*o + 7*o - 5*o + 0*o. Let g(n) = -6*n + 36. Give g(i(w)).\nAnswer: 6*w + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2240, -4780, -7302, -9800, -12268, -14700, -17090, -19432?\n\"Answer: i**3 + 3*i**2 - 2556*i + 312","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -34 (base 10) to base 6\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - -43. What is the remainder when 330 is divided by v?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + d - 2. Let l = 690 - 687. Let j = 2 + -3. Let o be (-3)\/l - (-2 - j). Determine g(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -352*g - 384*g + 736*g + 2 + 10174*g**2 in the form a*g + t*g**2 + q and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/54*-2*(-5076)\/(-2820).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 95. Let v = 72 - p. Suppose 6*o + 3 = v. What is the remainder when 8 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0188483*-0.7\nAnswer: 0.01319381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3408.4 - -3408. Suppose 9*q + 15 = 14*q. What is the third biggest value in q, s, 0.04, 0.2?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = -4*t + 13, -5*t + 155*o = 157*o - 26 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 162318 (base 9) to base 10\nAnswer: 100133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.018 times 2\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*(a**4*a*a)\/a)\/a*a)**(-5\/3))**34\/((a**2)**(-31\/4)*(a\/(a*a**(-1\/9)))\/a**(-2\/11)) assuming a is positive.\nAnswer: a**(-75529\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 314783 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 4*v - 56. What is the least common multiple of 96 and f(28)?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wef when three letters picked without replacement from efeeeokw?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1221202012022 (base 3) to base 6.\nAnswer: 34130355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 5\/8 of a gram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**3\/6 + r**2\/2 + 2*r. Let s be t(-4). Suppose -s*n + 197 = 3*o, -o = 4*n - 0*o - 152. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.52524, -286, 2\/27?\nAnswer: -0.52524","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbhpvrl. Give prob of sequence pbv.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2*20\/8)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1579271?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -3 - 6 - p + 3. Let o be f(-5). What is the units digit of 8 - (-2 - (o - 1))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -9 + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4981 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1140 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -450529*p*u - 84018*p + 8*u + 2 wrt u?\nAnswer: -450529*p + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/46843786 and 7\/164.\nAnswer: 3841190452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 5 - 4)*(-2 - 2 + 5)*(40*l + 287 + 7 - 46*l) + 2 - 2 + 12*l to j*l + d and give d.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2007\/(-261))\/1 - -6 and ((-4 + 6)\/2)\/(-7).\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 5884?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 134280 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/5 (b) 2263 (c) -1 (d) 4 (e) -5 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4)\/(u*u**(-1\/12)))**31\/((u**(1\/3)\/u)**(-8\/5)\/(u**2*u**(-4))) assuming u is positive.\nAnswer: u**(-9329\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 87*w + 90. Let a be y(-1). What is the nearest to 113 in -4, -0.01, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (27 - (-2)\/2) + 9\/(-9). What is the greatest common divisor of k and 432?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9 and 217180812.\nAnswer: 217180803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 greater than 4235\/36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 - 21*j + 25. Let h be v(20). Solve -h*u - n - 28 = 0, u - n - 7 = 3*n for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -367472*i**3 - 193433*i wrt i?\nAnswer: -2204832*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -16*t - 64. Let d(y) = -15*y - 66. Let r(j) = -4*d(j) + 3*i(j). List the prime factors of r(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1, 1\/6, 4, -61?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.07514 in 38, -2, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 2*w**2 + 2*w - 2. Let c be n(2). Let g = 732 - 510. Let m = -225 + g. Put c, 3, m in ascending order.\nAnswer: m, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-4*sqrt(78)*-4)\/((sqrt(72)\/((sqrt(192) - sqrt(12)) + sqrt(12) - sqrt(12)) - sqrt(6)) + sqrt(60)\/(sqrt(30)\/sqrt(3)) + sqrt(6)).\nAnswer: 24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 85*y + 653. Let c be f(42). Round c to the nearest one hundred.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-1.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 8:32 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (-21 + 10)) + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 9) to base 7\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 3*y + 273. Let n be r(0). Let i = -720 + 741. What is the greatest common divisor of i and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - w**2 - 2*w. Let q be c(2). Let t = q + 2. Suppose -3*k - 3*u = -6, 3*u - 32 = -4*k + 7*u. Sort -4, k, t in descending order.\nAnswer: k, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 5) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes before 12:04 PM?\nAnswer: 5:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -53393738708 plus -7?\nAnswer: -53393738715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 11:44 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 - g**2 - g**2)*(-2*g + 6*g - 2*g + (0 + 2 - 5)*(g - 2 + 2) + 1 - g - 1)*(-1 + 1 - 2*g).\nAnswer: -4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 9*b**3 + b**2 + 4*b + 5. Let g be p(-5). Let q = g + 1590. What is the tens digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2863*n**3 + 4*n - 2317*n**3 - 4*n.\nAnswer: 546*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 3444?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 9008181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 12:43 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1426 and 0.1594?\nAnswer: 227.3044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (17\/(51\/6))\/(4\/(-10)). Let y = 1.2 + -5.2. Which is the nearest to -2? (a) -1 (b) u (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -248840000 to the nearest 1000000.\nAnswer: -249000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, j: 3, h: 4, q: 2, l: 6, p: 2}. What is prob of sequence jpqw?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + 11*l - 9. What are the prime factors of u(-16)?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -x**4 + 2*x**4 - 13 + 2 - 3*x**4 + 2*x**4 + 0*x**4 + (-3*x + 0*x + x)*(-2 + 2 - 2*x**3) as s*x**4 + f*x**2 + a + k*x**3 + l*x and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 5*z**2 - 73*z + 94. Give w(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express y**4 + y**4 - 4*y**4 + (-1 + 0 + 2*y + 0)*(-59*y**3 - 62*y**3 + 94*y**3) as l + b*y**4 + d*y**2 + f*y + x*y**3 and give b.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -401.4 rounded to the nearest 10?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2491 - 3007.2. Let m = z + 516. Which is the third smallest value? (a) 2.5 (b) 0.4 (c) -2 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1. Let b(u) = 4*u**3 - 4. What is -6*b(x) + 24*v(x)?\nAnswer: -24*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 19968.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*x - 1737 = -38*x + 804 for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z + 35. Let f be p(1). Differentiate -7*v**2 - 21 + 51 + 65 + 18*v - f*v with respect to v.\nAnswer: -14*v - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167*z + 163*z + 3*q = 53, -z - 5 = 2*q. Let w(f) = 8*f**2 - 1. Let s(i) = -23*i**2 + 2. Determine z*w(u) - 4*s(u).\nAnswer: 4*u**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aiii when four letters picked without replacement from {i: 16, a: 2}.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10, -41, -96, -181, -302, -465, -676?\n\"Answer: -f**3 - 6*f**2 - 6*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + r)*(0 + 2 - 5)*(-11*r - 4*r + 17*r).\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*g**4 + 2 + 0*g - 6*g**4 - g**2 + 5*g + 2*g**3 in the form z + y*g**3 + v*g**2 + s*g**4 + a*g and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -733*a**2. Let i(d) be the first derivative of -d**3 + 919. What is t(i(w))?\nAnswer: -6597*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - m + 87. Let t be i(0). Let n = 126 - t. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 1246187 = 4*m - 3356225, -4*m = 2*b + 2301188. What is b rounded to the nearest one hundred thousand?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*m + 3*m - 33. Factor -2\/7*i**m + 0 + 2\/7*i**5 - 2\/7*i**4 + 2\/7*i**2 + 0*i.\nAnswer: 2*i**2*(i - 1)**2*(i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3340 - -3400. Let z be ((-4)\/6 + 0)*-48. Suppose -t + z = t. What is the remainder when q is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9\/33 + (-255)\/(-33) - -1031.\nAnswer: 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034407 rounded to 4 decimal places?\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5\/6 (b) 5 (c) 687 (d) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -28. Let q = 5 - -6. Let o = q + t. Are o and -0.2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -509 = j - 30*o + 16*o - 433, -5*j - 5*o - 5 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15402265.\nAnswer: 5, 41, 75133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 386, -2.\nAnswer: -4, -2, -1, 386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -21*y - 180. Let x(a) = -58*a - 539. What is 11*p(v) - 4*x(v)?\nAnswer: v + 176","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 11:21 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q + 18*q + 13*q - 70 = 0. Which is the fifth smallest value? (a) -3.7 (b) 3 (c) -3 (d) 67 (e) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**11*n)\/n**(-13)*n*n**(-8)*n*n*n**(5\/2) assuming n is positive.\nAnswer: n**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 5*v - 17, -5*v = -5*h + 798 - 753 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*w - p, 0 = 7*p - 3*p + 4. Solve -w - 4 = 3*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -2 + (28 - (49 + -5 + -15)) - 46\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286216 and 4842?\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22897*i**3 - 3*i**2 - 32*i + 37 wrt i?\nAnswer: -137382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 + 21*b**2 + 2*b - 42. Give k(21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -275 * 70.\nAnswer: -19250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -89 + 622\/7. Let o(b) = 7*b**2 - 5*b - 8. Let r be o(10). Let n = 3761\/6 - r. What is the common denominator of a and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 84 in -0.1, 0, -1\/4, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48806659?\nAnswer: 11, 107, 41467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/16)\/1)\/(-2).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 3:19 PM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19320 + -19317. Which is the third biggest value? (a) 0 (b) 10 (c) l (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 110 divide 8887340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + h = 1695, -3*q - 6*h = -9*h - 5061. Does 65 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -125, -255, -371, -467, -537?\nAnswer: -575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50 - -50. Suppose b = -3*c - 4 + 4. Put -3, c, 1 in increasing order.\nAnswer: -3, c, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 + 786 = -176*n + 22*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*z + 4*o, 4*z - 4 = -0*z + 4*o. Suppose 3*r + 2 - 5 = 3*b, 5*b - 16 = -z*r. Suppose r*l - 15 = 60. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6720, 13611, 20666, 27879, 35244, 42755, 50406, 58191?\nAnswer: 66104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*m - 5 = 0, -p + 3*m = 7*m + 7. Put p, -12, 2\/17 in decreasing order.\nAnswer: p, 2\/17, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2990 (base 16) in base 10?\nAnswer: -10640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, v: 1, i: 1, g: 7, n: 2, c: 2}. What is prob of sequence gg?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1325 is divided by 658.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19491*b = 1982666 - 131021 for b.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -813 + 825. Calculate the remainder when (-4)\/(-18) - (-403)\/9 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 15, s: 4}. Give prob of picking 1 s and 1 b.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*z - 75 - 184, z - 122 = u. Suppose -s - 22 = -26. Suppose 5*y - s*t = 24 + 21, 0 = -4*y - t + 57. What is the highest common factor of y and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -353, -38 in descending order.\nAnswer: 2, 1, -38, -353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197125 to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Suppose -6 = -w*b - 5*k, 3*b + 2*b - k = 15. Suppose b*f + 1156 + 1032 = 4*v, -2*f = -5*v + 2735. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**2 + 5*i - 7. Let g be u(-5). Let y be ((-2)\/g)\/((-15)\/(-105)). Let v be y*(-2 + 0)\/(-4) + 35. Solve 5*k + 17 = -6*d + 4*d, -4*k + 4*d = v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.01 - 4. Let s = -0.09 - x. Let t(c) = -c - 1. Let v be t(0). What is the nearest to s in 0.4, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 47, 1, 3 in descending order.\nAnswer: 47, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -90*x - 54. Determine q(-2).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -203519 and 0.3.\nAnswer: -203518.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -4*x + 2*p + 52, 0 = 5*x + 4*p - 44. Let u = 15 - x. Solve -u*m + 6*m = -12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 - -222101?\nAnswer: 222021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + n = 0. Let v = -0.01914 + 0.21914. Which is the biggest value? (a) n (b) v (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/(-20))\/(-1)*2530\/92.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000012795 rounded to 7 decimal places?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 12*u**2 - 13*u + 1. Let b be (-17550)\/1365 + (-1)\/7. Determine p(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x. Let v(q) = -8*q**3 + 2*q. What is 2*f(d) - v(d)?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02627531 to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 20, 2\/13, 58, -0.2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -44. Let o = z - -20.0046. Round o to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/5)*h)\/h)**(-6)\/(h**(-1\/4)*h*h**16*h*h) assuming h is positive.\nAnswer: h**(-351\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqqjvvfafqfsss. Give prob of picking 2 v.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a**2 + 11*a - 7. Let u be b(5). Is 12 a factor of (-2)\/(u*3\/132)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2933.45 millennia in centuries?\nAnswer: 29334.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3819*j + 3080*j + 739 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 9*c + 0*c = 358, 916*c + 152 = 920*c for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 576 and 104977296.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12394121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 13. Let q(j) = -j**3 + 4*j**2 + j - 4. Suppose -4*s - s + 20 = 0. Let f be q(s). What is the units digit of d(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4567091203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and -578.8419?\nAnswer: -7524.9447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 163680 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*i = 20*i - 8. Solve -i*k + 3*w + 11 = 0, -w + 26 = -3*k - 5*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -4*w**3\/3 + w**2 + 5*w - 6380. What is q(4)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 581870 and 780832?\nAnswer: 121028960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9*l**5 + 3633920*l**3 - 2*l**2 + 102593803.\nAnswer: -540*l**2 + 21803520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/4*g**2 + 9\/4*g**3 + 3\/4*g**4 + 3\/4*g + 0.\nAnswer: 3*g*(g + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 2, -128, 28, 10 in decreasing order.\nAnswer: 28, 10, 2, 0, -1, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301436.\nAnswer: 2, 179, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, c: 1, u: 1, g: 1, z: 3}. Give prob of sequence gcz.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjtj when four letters picked without replacement from tjttjjjjjttt.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -3*n + 8, -y + 2*n + 1313 = 1311 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*p**2 + 14*p**2 + 4*p**2 + (-3*p + 5*p - 2 - 3*p)*(-5*p + 3*p + 3*p).\nAnswer: 51*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -157 at most as big as -157?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q - 4. Suppose 0 = 3*g - 11 - 7. Let b(i) = 2*i + 8. Let h(a) = 2*a + 9. Let d(o) = g*b(o) - 5*h(o). What is -3*d(l) - 2*y(l)?\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, 4219813, -3\/8 in increasing order.\nAnswer: -2\/3, -3\/8, 4219813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 6*r**2 + 2*r + 5. Let b be h(-5). Suppose 0*u - u = -l + 4, 5*l - 2*u - b = 0. Solve 2*i + 8 = 2, l*q + 2*i = 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1333010 + 2023113?\nAnswer: 30103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26.2387917 milliseconds to days.\nAnswer: 0.00000030368971875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**2 + 11838*p = 0.\nAnswer: -5919, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1586)\/61 - (-40)\/(-10)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110001010 - 1001001111111010001000?\nAnswer: -1001010000000000010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*o - 15 = -21*o. Solve -b - 10 = -o*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8077.91627 rounded to the nearest one hundred?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 79277779 to the nearest integer?\nAnswer: 8904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4994*n - 749*n + 2079*n.\nAnswer: 6324*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 1 + 3, 0 = 2*m - 4*w + 4. Find the third derivative of 21*r**5 - 32*r + 13*r**m + 32*r wrt r.\nAnswer: 1260*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2141131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60564 and 43314?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1845 and 226980?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3637044121 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2623?\nAnswer: 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + q**3 - 2*q**3 - 1 + 2*q - 9*q**3. Suppose 5*j - 74 = -24. Suppose l = 3*v - 6, 2*l - j = -4*v + 4*l. What is s(v)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - -1) + 2 - (5 - (7 - -8)). Let z(h) = 2 + h**3 + 6*h - 10*h**2 + 0 - 6. Let u be z(q). What is the highest common factor of u and 84?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76074359 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 91? (a) -1\/7 (b) -1\/5 (c) 15\/4 (d) -3\/8 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 3.9149061304.\nAnswer: -7.9149061304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 7*o**2 - 4*o - 3. Let l be v(-7). Solve -l = 5*g - 4*i, 5*g + 3*i - 6 = 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 316787781 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111011100011001110111 + 111?\nAnswer: 10111011100011001111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -65 + 60. Suppose -2*k - 8 - 10 = 0. Let f be 8*(k\/10)\/(-9). Sort 1, f, d in increasing order.\nAnswer: d, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-14)*28\/24?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (16 + 2*a - 7 - 4 + (0 - 3 + 2)*(0*a - 3*a + 4*a))*(-a**3 - 2*a**3 + 2*a**3) to i*a**4 + o*a**3 + m + n*a**2 + b*a and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 412897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*a + 108, 5*c + 2*a - 70 = 63. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*q + 18 = -13 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + -3*sqrt(17) + 0 - (3*sqrt(1088))**2)*-4.\nAnswer: 8*sqrt(17) + 39168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 4)*(531 - 531 + 1269*x**5) + 2 - 3*x**5 - 1 + 2*x**5.\nAnswer: -2539*x**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 113131310 (base 4) in base 14?\nAnswer: 27056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228256785.\nAnswer: 5, 7, 5013293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**3 - 13*v**2 + 3060*v - 18535. Calculate l(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135497\/18774 - 4\/1341. Calculate the common denominator of a and (-26)\/(-198)*(-36)\/48.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*z = 5*z - 135*z - 1100 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + 21a80e?\nAnswer: 21a814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r. Let u(p) = 5*p + 4263. Determine o(u(c)).\nAnswer: 5*c + 4263","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/15*(-10)\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**2 + 1\/12*y**4 + 0*y + y**3 + 0. Let z be u(-4). Let d(x) = -2*x - 3. What is d(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 4:12 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 5 + (2 - 1 + 2)*(0 - 4 + 3))*(6 - 4 - 1 + 2*t)*(-2 + 5 - 5).\nAnswer: 8*t + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**35)\/b)\/b**(4\/7) assuming b is positive.\nAnswer: b**(255\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*l + 367*l = 157*l + 242 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 1 - 24*m - 9 + 37*m + 33*m. Let b be p(2). Calculate the highest common divisor of 42 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1842081 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 15, b - 7 = -5*a + 2*b. Factor 2\/3 + 1\/3*h**a - h.\nAnswer: (h - 2)*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8424*j**2*p*z**2 - 14*j**2*p + 3*p*z + 58*z wrt z?\nAnswer: 16848*j**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/69396 and 173\/120.\nAnswer: 693960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135 - 286 + 10*j**2 + 421.\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27 - -401?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003951 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1085 and 1015?\nAnswer: 31465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2102*r + 1301 + 3869 = 2337*r for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 not equal to -26100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 17785*c**2 + 7*c + 41812. Let d(y) = -11856*y**2 - 5*y - 27866. Let r(q) = 7*d(q) + 5*o(q). Differentiate r(l) wrt l.\nAnswer: 11866*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 6*q**3\/5 + 2508*q**2 + 6539592*q\/5 - 13129392\/5 = 0.\nAnswer: -1046, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 8*a**2 - a - 5. Let u be g(-8). Solve -3*c - u = -5*o, 0*o + o - 3*c + 9 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011302 + -1302?\nAnswer: 1010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.0582 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r*r**(3\/10)\/r))\/((r\/(r\/(r\/r**(-2\/63))))\/r))**(2\/57))**(-19) assuming r is positive.\nAnswer: r**(-421\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*k - 21 + 21)*(-101 + 30 - 74 + 20).\nAnswer: 625*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*m + 152, -3*m - m + 115 = a. Let o = m - 10. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 + 11*t**3 - 12*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 407.7 + -391. Let f = h + -17. Let l = 115 - 1267\/11. What is the closest to 1 in l, f, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5057.05 (b) 1\/3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -3, -28.4 in increasing order.\nAnswer: -28.4, -11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 6 (c) 25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -131, -882, -2923, -6896, -13443, -23206?\nAnswer: -36827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1806831*i**2 - 605728 with respect to i.\nAnswer: -3613662*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 427.3350563999603 - 0.9350556740603. Let q = i + -426.4. Round q to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -19 - (-2 + (-4)\/(-2)). Let i = k + 11. Let d = i - -11. Solve 0*c = c - d for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*d + 1\/3*d**5 + 0 + 6*d**4 + 27*d**3 + 0*d**2 = 0. Calculate d.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-440)\/350)\/11)\/((-6)\/(-45)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -13968 >= 18\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-75)\/(-24) - 4\/32. Let h = 3 - -2. Solve 5*w - 7 - 7 = -o, -4*o = c*w - h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q - 840522 + 420264 + 420258.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, -8\/9, 0.03, -5, -118.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*p + 816 - 9*p - 15*p**3 - 4365*p**2 + 4365*p**2 - 816.\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - x - 1. Let z(f) = f**3 + 3*f**2 + 2*f + 1. Let n be z(-1). Let h(v) = 8*v**2 - 5*v - 5. Determine n*h(k) - 5*s(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 8*a = 8. Suppose 487 = o + m, -a*o = 3*o - 4*m - 2399. List the prime factors of o.\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 48 + -26. Suppose 3*x - 16 = -10. Let k be (-1 - 0) + d\/x. Calculate the highest common divisor of 2 and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -24 + 29. Suppose 0 = -k*x + 2*x + 30. What is the greatest common factor of x and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 360 - 252. Calculate the greatest common factor of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2832?\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*s**4\/9 + 728*s**3\/9 + 92*s**2\/9 - 520*s + 450.\nAnswer: 2*(s + 5)**2*(7*s - 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -489?\nAnswer: 4\/489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1\/2)\/p)\/p*p*(p\/(p*p*p**3*p))\/p)\/((p\/p**(-1\/3))\/p**(-3\/5)) assuming p is positive.\nAnswer: p**(-283\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 189 = 3*x. Let r be (18\/x)\/((-12)\/7). Which is smaller: 0 or r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 14221225.2 to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 2:25 AM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 419 is divided by 54?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 1)*((-3*z - z + 3*z)*(8 + 4 + 1) - 1 + 1 - 2*z).\nAnswer: -15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21 - -330?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**2)**(-31)*g**(-3\/8)*g**(9\/5))**(-1\/26) assuming g is positive.\nAnswer: g**(-1297\/1040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*f**3 + 4*f**3 + f**3)*((-2*f**2 + f**2 + 3*f**2)*(-3 + 3 - 2) + 0*f**2 + 5*f**2 - 2*f**2).\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -279308, -279326, -279358, -279404, -279464, -279538, -279626?\nAnswer: -279728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**3 - 43*b**2 - 7*b - 400. What are the prime factors of n(-55)?\nAnswer: 3, 5, 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 8*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10010 (base 3) to base 15.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**3 - 4*t**2 - 3*t - 4. Let s be o(4). Let h = -6 - 1. Let i = h - s. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-528)\/(-306))\/(-11)*(-3)\/(-4). What is the second smallest value in -3, -4, c, -0.05?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 471388?\nAnswer: 2, 191, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 30426914 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-25)\/9 + (-15)\/(-5). Suppose 4*v - 355 + 87 = 0. Let g = v - 1543\/23. What is the biggest value in g, b, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 11:49 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1335 - -1346. Let x(l) = -l + 24. Determine x(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -101139.817 rounded to the nearest 1000?\nAnswer: -101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 w when two letters picked without replacement from txxxptpwphhp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -18*q - 290. Give x(-16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, p: 3}. Give prob of sequence lpp.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 895.9 less than 223990.65166?\nAnswer: 223094.75166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 4*t**2 - t + 1. Suppose -7 = -2*f - 25. Suppose 8*q + 7 + 9 = 0. Let g(l) = -17*l**2 + 5*l - 4. Give f*w(u) + q*g(u).\nAnswer: -2*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 2*k = 82, 5*k - 10 = 2*x + 6. Let y be ((-2058)\/x)\/7 + 4\/6. Find the first derivative of y*f**2 + 6*f**2 + 13*f**2 + 37 wrt f.\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 1. Let d be (-18 + 1)*2\/(-1). Suppose -6*n + n = r*p - d, 2 = -p. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*x**4 + 5 - 2 - 5*x**3 + 11*x**3 in the form s + j*x**3 + l*x**4 + o*x**2 + y*x and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 264, 985, 2188, 3873, 6040, 8689?\nAnswer: 11820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 59244632.2 + -10.48.\nAnswer: 59244621.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2067 and 0.199.\nAnswer: -411.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(2548) - (sqrt(2548) + sqrt(2548) + (sqrt(2548)*-2 - sqrt(2548))))\/(sqrt(4) + sqrt(4)*1*-3 - sqrt(4)) + 2*sqrt(1872) + sqrt(936)\/sqrt(2))**2.\nAnswer: 75133\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -35 + 50 + (24 - (-7 + 13)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 10332?\nAnswer: 10322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 28*x**2 - 14*x + 23. List the prime factors of k(7).\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 * -11.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 - -668. Is (1\/(3\/d))\/(102\/153) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53442 is divided by 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, e: 2, t: 10, a: 1}. What is prob of sequence tt?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 277 + -272. Is 240\/(u + 1)*10 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2410.2 * -50.\nAnswer: -120510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (50*-10000)\/(5\/(-115)). What is s rounded to the nearest one million?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*y**2 - 9*j**2*y - 81*j*y**5 - 2*j*y + 15*y wrt y.\nAnswer: 2*j**2 - 1620*j*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2337717643 to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4685606.6 + 6118419. Let l = k - 1432826.4000028. Let i = -14 - l. What is i rounded to 6 dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 5 = -2*y - p, p + 3 = 0. Suppose y*n = 2*n + 74. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1017482311 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -11*j + 5. Let r(i) = -5*i + 2. Let k(f) = -2*b(f) + 5*r(f). Suppose 1 = 6*h - 53. Suppose -5*z = 1 + h. Calculate k(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65135531?\nAnswer: 2053, 31727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 2, u: 4, r: 1}. What is prob of sequence buuu?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*q - 1812 = -205*q - 6348 - 3132 for q.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 436891575?\nAnswer: 3, 5, 5825221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 31427267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 109 - 103 + 5*b + b - b**3 - 2*b - 2*b**2. Let v be j(-3). Suppose 5*h = n - 30, -2*n + v*h = -0*h - 39. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/16)\/((-1)\/(-8)). Which is greater: 11 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 35\/3 - 5\/(-15). Let c be (24\/i)\/(4\/10). Differentiate 7*a + c - 17 + 15 with respect to a.\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 163468985 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 16*a**2 - 12*a - 27. Let t be w(-3). What is the greatest common factor of t and 714?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4810681198 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1182377784 to the nearest integer?\nAnswer: 1057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 6 + 4 = 3*a, -5*a + 22 = -3*c. Let z = 2 + c. Let t = 0.1 - 0. What is the closest to t in 2, z, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-783)\/58*(-5)\/315. What is the second biggest value in s, 0.5, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1888 + 1883. Which is the second smallest value? (a) 1 (b) -1\/9 (c) -0.0114 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 125 (c) -0.1 (d) 2 (e) -19 (f) 1 (g) 1\/19\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 664116213?\nAnswer: 3, 59, 3752069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.4 + -2. Let t = 3 + q. Let d be 1\/5 + 10\/(-50). Which is the second smallest value? (a) 4\/7 (b) d (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 15\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (572\/(-2002))\/((-2)\/14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 1. Let j(m) = -90*m - 11. Let q(s) = -2*j(s) + 22*r(s). Let h(a) = 4*a**2. Give q(h(k)).\nAnswer: 632*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 313*u + 702. Give r(-2).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 - -12 - (0 - 1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 621510437 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -422*h**2 + 2 + 259*h + 424*h**2 + 73*h to v + y*h + r*h**2 and give y.\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -4*w**4 + 17*w**3 - 8*w**2 - 83*w + 96. Let n(v) = -20*v**4 + 86*v**3 - 40*v**2 - 414*v + 480. Let d(h) = 14*l(h) - 3*n(h). Factor d(z).\nAnswer: 4*(z - 3)*(z - 2)**2*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**2 - 6*l**2 - 6*l**2)*(3*l + 1 - 1).\nAnswer: -42*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 783 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000876801 to 7 decimal places.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -747*t**2. Let f(z) be the third derivative of 7*z**4\/12 - 3*z**2 - 939. Give f(r(c)).\nAnswer: -10458*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21206, 42329, 63442, 84545?\n\"Answer: -5*u**2 + 21138*u + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 6*q**2 - 5*q - 12. Let i be v(7). Suppose 213 = -11*d + 12*d + t, i*d = 3*t + 421. List the prime factors of d.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210174396.\nAnswer: 2, 3, 359, 48787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + -6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1612?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 3*b = 12, 4 = -89*p + 87*p - b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3609 + 1ba01?\nAnswer: 183d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*10.937507\nAnswer: -2.1875014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -35\/73, 2, -97 in decreasing order.\nAnswer: 3, 2, -35\/73, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 2 h when three letters picked without replacement from {n: 3, b: 4, p: 2, h: 2, c: 2, j: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -2749 = -10991\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of -25*l**2 + 11\/3*l**3 + 0 + 3\/8*l**4 - 2*l. Find the first derivative of r(q) wrt q.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-15) - 4 - 14\/(-10)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3410379?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -50 in -4\/25, 3, 0?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y. Let c(z) = -121*z - 2. Let l(j) = 364*j + 7. Let p(s) = 7*c(s) + 2*l(s). Determine p(b(d)).\nAnswer: -238*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*g = -2, 0 = -40*u + 38*u + 2*g - 6. Which is the fourth biggest value? (a) -4 (b) -0.51 (c) u (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 190 divide 64410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**4 - 356*r**3 - 11654*r**2 + 24368*r - 12360 = 0. Calculate r.\nAnswer: -30, 1, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79 or -94672\/1193?\nAnswer: -94672\/1193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tl when two letters picked without replacement from ttltttlttlttll?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287597993 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of -1\/12*o**3 - 3\/2*o**2 - 11\/4*o - 38. Find c, given that p(c) = 0.\nAnswer: -11, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8673820 rounded to the nearest 100000?\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 477 + 542?\nAnswer: 9b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 164215021 to the power of 1\/3, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.28033.\nAnswer: 0.56066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16065318 is divided by 3213062?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 61327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -82 - -81. What is the tens digit of (165\/(-6))\/((o*1)\/2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 39296460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzrj when four letters picked without replacement from gjjugzrmuugzuuzgj?\nAnswer: 3\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*p - 58150*p**2 + 58153*p**2 - 49*p.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 10) to base 16\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 6 = -3*z, -4*u + 2*z + 6 + 20 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 940, 940, 894, 778, 568?\nAnswer: 240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -29418 less than or equal to -29418?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 - 3*c + 3*c + 9*c**2.\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -66 + 46. Let l be -5*((-42)\/p - -2 - 0). Which is greater: -11\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-20)*-1*3. Let q = b + -7\/10. Let g be (6 - 4)*(-10)\/(-4). What is the closest to 1 in q, g, 4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10784063 is divided by 135?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 128480000 rounded to the nearest one million?\nAnswer: 128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -1. Suppose -12*m + 16*m = 48. Suppose -3*x - 3*y + m = -0*x, 0 = 4*x - 5*y + 2. Solve x + 13 = -r*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -f - 3*t, 0*t - 6 = -3*t. Let a(k) = 5*k + 1 + 9 - 6*k + 13 - 20. Determine a(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -142, -202, -264, -328, -394, -462?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37.7 + 38. Let p be (14\/8)\/(2\/(-8)). Let l = 12 + p. Which is the closest to -0.1? (a) -2 (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 - r**2 - 3*r**2)*(r + 3*r - 5*r) + 2858*r**2 - 69*r - 2854*r**2 + 2*r**3 + 2 + 17*r as d*r**2 + x*r + b*r**3 + s and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n + y - 2, 3 = -3*y. Suppose 3*m - 15 = 0, 5*r - 4*m + n*m = 1550. What is the greatest common factor of 28 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 50 + -45. Suppose 3*f = -3*i + 48, -2*i - 8 = -3*i - j*f. Suppose -i*h + 23*h - 1765 = 0. What is h rounded to the nearest 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q. Let o be d(-1). Suppose -3*j - 115 = o*j. Let v = j + 39. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 = -29*w + 30. Let i be ((-1014)\/(-9))\/((-4)\/w + 2). What is the greatest common divisor of 13 and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -151*k**3*o - 104*k**3 wrt o.\nAnswer: -151*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6524747.\nAnswer: 6524747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -13 + 37 - 14 - 11. Let h(g) = -g - 6. What is -5*h(i) + 30*m(i)?\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2655 = -5*q + x, -3*q - x + 1582 = 0. Calculate the remainder when q is divided by (-369)\/(-144)*16 - (-5 + 2 + 6).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2 + 3)*(-4*a + 91112*a**2 + 5*a**3 + 15 + a**3 - 91116*a**2).\nAnswer: -6*a**3 + 4*a**2 + 4*a - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -451, -690, -1037, -1456, -1911, -2366, -2785?\nAnswer: -3132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - u + 1. Let a(m) = m**2 - 5*m + 3. Determine -a(p) + 4*y(p).\nAnswer: -5*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5}. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**3 + 478*v**3 + 127*v**3)*(2*v + v**2 - 2*v**2 + 2*v**2).\nAnswer: 607*v**5 + 1214*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 27 = -4*g, 42*g - 2*v + 19 = 84*g - 39*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q**3*w + 9*q**3 + 2707*q*w + 257*q - w - 1 wrt w.\nAnswer: -2*q**3 + 2707*q - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*v**4 - 2*v + 4*v**2 - v**2 - 6*v**4)*(1 + 1 + 1).\nAnswer: 6*v**4 + 9*v**2 - 6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 37552415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ebbb when four letters picked without replacement from bbbbebbbbbbbbbb.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (6 - 14)\/24 + (-158)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/3)\/(2\/(-1)*-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 1102*l**2 - 5*l + 5. Let m(y) = -2204*y**2 + 11*y - 10. Let r(s) = 3*m(s) + 7*u(s). Let t be r(-2). Suppose 6*g + 1351 = t. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 - 6*d**2. Let z be v(-6). Suppose w = 20 - z. Suppose -w = -h + 13. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 66\/8) + 6\/(-8) + 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**4 + 2754*k**3 - 155271*k**2 - 218838348*k - 18942628332 = 0.\nAnswer: -134, 593","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and -67.6.\nAnswer: -13.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -117925 (b) -2 (c) 1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 4. Let i(j) = j**2 - j + 1. Let k be (-36)\/(-189)*63\/(-6). Let w(t) be the third derivative of t**4\/6 - t**3\/6 + t**2. Determine h*w(s) + k*i(s).\nAnswer: -2*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53247 is divided by 1524?\nAnswer: 1431","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 627 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/59731 and 16\/3515113?\nAnswer: 186300989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*g + 267*g + 207680 = 0. What is g rounded to the nearest 1000?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 36, 32, -84, -366, -868, -1644, -2748, -4234?\n\"Answer: -9*y**3 - 2*y**2 + 65*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -0.07 (b) -552.3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 5*w - 121, 10*w - 11*w = -c + 151. Calculate the remainder when c is divided by 39.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30932?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*h + 19 - 40, -5*h = 3*f + 41 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5194006781 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 856\/13 + -66. Which is the fourth biggest value? (a) -0.5 (b) 1 (c) 0.2 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -102*m**3 + 11*m**4 + 7*m**4 - 9446 + 9446 - 5667*m**2 wrt m.\nAnswer: 432*m - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 56328284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 349544.5l to millilitres.\nAnswer: 349544500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5282243.\nAnswer: 5282243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = w + 3*w. Let k = 45 + w. Let f be -2 + (-2)\/((-2)\/k). Calculate the highest common factor of f and 117.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1*(-2)\/(-12)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-27)\/(-78) + (-10)\/(-65))*1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.044836 + -0.044647115. What is t rounded to 6 dps?\nAnswer: 0.000189","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -10*o + 186. Let u be j(18). Solve 27 = -u*v + v - 4*n, -9 = 3*n for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 4*y - 61, -2*f + 4*y = 5 + 21 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 + 12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -7*a**2 + 14*a - 4. Let f(s) = -4*s**2 + 7*s - 2. Let j(q) = -5*f(q) + 3*l(q). Calculate the least common multiple of 22 and j(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201 - 28 + 34 = -23*w for w.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 9436416, 18872833, 28309250, 37745667?\n\"Answer: 9436417*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -19 (b) -0.2 (c) -0.0856\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 3:25 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*h*n*y**3 + 198*h*n - 123*h*y**2 + 2*h - 2*y wrt y.\nAnswer: -60*h*n*y - 246*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/4*x**2 + 3*x + 9\/4 = 0. Calculate x.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2817*n*t**3 - 2*n*t**2 - n - 5*t**3 + 1069*t**2 + 12 wrt t.\nAnswer: 16902*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 4*f. Suppose 2*i = 3*n - 114, -3*i + 2 + 47 = n. Suppose n = h + 7*h. Calculate v(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3676 + -3664. Calculate the lowest common multiple of 3526 and d.\nAnswer: 21156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -69*r - 82. Let n(o) = 83*o + 82. What is -5*n(d) - 6*y(d)?\nAnswer: -d + 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591497 is divided by 845.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -14*s - 2*s**3 - 12 + 160*s**2 + 3*s**3 - 313*s**2 + 157*s**2. Let v be l(-6). Solve 0 = -3*h - v*h, n - 3*h + 4 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 45 + 79. Let h(i) = 16*i - 94. What is the tens digit of h(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 6:21 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d\/(d*d\/(d**(-2)\/d)))\/d)\/d)**(2\/3)\/(d**(-2))**(36\/7))\/(d*d**2*d*d*d*(d**1*d)\/d)**(2\/5) assuming d is positive.\nAnswer: d**(436\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from {g: 2, p: 1, t: 1, z: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59600 to the nearest integer?\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -1\/36*l**4 + 0*l**3 + 0*l**2 - 3*l - 1 - 1\/60*l**5. Let j(n) be the first derivative of u(n). Factor j(m).\nAnswer: -m**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152836.1cm to meters.\nAnswer: 1528.361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -4. Suppose i*z = 2*z - 6. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 0.8, 0.066504, -0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3060\/(-1170))\/(10\/5200*-10).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.031 - 4.111. Let v = 0.08 + z. Which is the nearest to 14? (a) v (b) 3\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1582271?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 320 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -505, -4468, 5, -2 in descending order.\nAnswer: 5, -2, -505, -4468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**4 - 6*z**3 + 69*z - 5033.\nAnswer: 8*z**3 - 18*z**2 + 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2812 = 255*c - 259*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1987 divided by -1987?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 1 = -3*x. Let a be 1*(3 + -4)*(x - 1). Suppose 3*p - 2*p - 27 = a. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 3, -0.2, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or -47?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -256.234 rounded to zero decimal places?\nAnswer: -256","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from cccccscscccccccctctt?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 16*s**3 + 191*s**2 + 28*s + 469. Determine p(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(1377) + -1 + 5 + 3 - (-2*(-1 + sqrt(1377)))**2*6))*5.\nAnswer: -165350 + 2205*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 250\/48 + -5 - 3\/9. What is the fourth biggest value in 2\/5, -3\/7, a, 4, 0.64?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.04? (a) -2\/21 (b) -2\/7 (c) 7 (d) 2 (e) 161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22228, 22235, 22242, 22249, 22256, 22263?\nAnswer: 22270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -81064295, -162128585, -243192861, -324257117, -405321347, -486385545, -567449705, -648513821?\n\"Answer: w**3 + w**2 - 81064300*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1023 - 21231?\nAnswer: -20203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-19)\/2 - (-6)\/(-4). Let g(k) = 21*k**2 - 2*k + 16. Is g(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = -18 + 4 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003635073 rounded to 4 decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 3.43. Let a = -0.24 - u. Let j = a - 0.69. Put j, 1\/6, 1 in descending order.\nAnswer: 1, 1\/6, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111 + 111001?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a litre in millilitres?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.045, -1\/4, -2\/5?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5*(-478335)\/(-2899)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25\/10 - 2\/4. Let c(f) be the first derivative of 0*f + 0*f**i - 1\/15*f**6 + 0*f**5 + 0*f**3 + 1 + 1\/10*f**4. Factor c(b).\nAnswer: -2*b**3*(b - 1)*(b + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**3 - 8*g**2 + 29*g + 180 = 0.\nAnswer: -9, -4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 816 and 48?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a = -12*a - 8, -4*a = -5*k + 338. Solve -k*y = -71*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/97802095 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 111 = 12*s. Let k(c) = 2*c**2 - 14*c + 22. What is the remainder when s is divided by k(8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -143 - -159. Suppose 4*u = 11*h - 13*h + q, -18 = -4*h - u. Solve 5*k - h*v - 9 = -27, -4 = -2*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 + -1010000000000011110000?\nAnswer: -1010000000000100000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*q - 18228 = 14766. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 735640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-4) - (-1)\/2. Suppose 4*i = -2*d + 16, -i + 5 = a. Suppose -4*y = -d*y. Solve 3*w = 2*k + 6, -3*w + y*w = 2*k - 18 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 35 - 119 = 0. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhtththhhhhttttttht. Give prob of picking 1 t and 3 h.\nAnswer: 80\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 1.12?\nAnswer: 8.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r**2 - r + 2. Let i be g(-2). Suppose 0 = 3*d - i - 17. What is the highest common divisor of d and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 96 + -96. Suppose 2*s - 32 = 3*y, -4*y - 11*s + 6*s - 12 = w. Are y and -58\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k - 2 - 3*k - 2*k**3 + 5*k**3 - 5*k - 2*k**4 to the form o*k**3 + j*k + u*k**2 + r + g*k**4 and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (16\/(-24))\/((-4)\/966). Let j = -72 + h. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 34709*a**2. Let l(q) = -5*q**2. Determine l(d(t)).\nAnswer: -6023573405*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 7*x + 5*y = 44, 132*x + y = 137*x + 34 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (10\/((45\/3)\/1))\/(76\/30)\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(2 + 5\/(-3)). Suppose -19 = -3*t - 5*q, -t + 13 = 2*q + p*q. Let z(c) = 6*c + 3*c**3 + 2*c**3 + t*c**3 - 5 - 7*c**3 + 6*c**2. What is z(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7}. What is prob of sequence vvvv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 262.61 times -4?\nAnswer: -1050.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -75669*g - 2. Let b(f) = 1019*f**2. Give t(b(v)).\nAnswer: -77106711*v**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 134179, 134139, 134021, 133789, 133407, 132839, 132049?\nAnswer: 131001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8580*o**3*r**2 + 854*o**3*r - 5*o**3 - 25*o**2*r - 2315*o*r - 2*o - 2*r**2 wrt o?\nAnswer: -51480*r**2 + 5124*r - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 111 = -2*f, 844*c = 841*c + 3*f - 63 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q - 2*q + 5*q + q + 3*q - 3*q - 5*q - q + 4*q + (2*q - q - 2*q)*(0 + 4 - 2) - q + 2 - 2 - 145*q - 234*q + 19*q in the form c*q + j and give c.\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2893 or -2894?\nAnswer: -2893","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**7\/6300 - t**6\/900 + t**5\/300 - t**4\/8 + 6*t**2. Let z(k) be the second derivative of o(k). Suppose z(v) = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1593704039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -318 + 315 + -6 + 0 + 32\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1173, -3, -2, 2, -5, 3, -10 in descending order.\nAnswer: 1173, 3, 2, -2, -3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 473 + -479. Let u(m) = m - 5. Let h(o) = -2*o + 11. What is f*h(p) - 13*u(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -410? (a) -0.2 (b) -3 (c) -35\/978\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5176 + 2140 - 20 - 1193)*(-2 - 1 + 4)*(0 + 0 - k).\nAnswer: -6103*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 48*j - 143. Let q be l(3). Solve t + 5*p = 16, t + q = 4*p - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*f**4 + 38*f**2 + 3560.\nAnswer: 24*f**3 + 76*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -2*f**4\/3 + 1158*f**2. Calculate y(-4).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -11*o**2 + 5*o + 49. Let g(z) = -19*z**2 + 9*z + 100. Give -3*g(c) + 5*x(c).\nAnswer: 2*c**2 - 2*c - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -80*((-92)\/(-20) + -3). Let z = v - -253. Suppose -930 = -5*s + z. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-8) - (4830\/48)\/5. Is b > -16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziwwwwzt. What is prob of sequence wzw?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 12. Let k be p(-6). Suppose k*a + 3 = -a. Let i be 3\/(a + 0) - 1839999. What is i rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 + 29. What is the closest to -21 in 0.4, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 + -307480?\nAnswer: -307487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 3*f**3 + 10*f**2 - 5*f - 22. Let d be p(-3). Which is the closest to 1\/26? (a) -3\/23 (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4958\/2627*71 + -35\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yygyyyg.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2598 = -2*t, -79*t + 75*t = -v - 5154. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**2 + 3761. Let p(a) = -25*a + 6 - 6. Determine t(p(u)).\nAnswer: -50*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -21\/2. Let f(s) be the first derivative of 2\/3*s**3 - 3 + i*s**4 - 2*s - s**2. Factor f(r).\nAnswer: 2*(r - 1)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 3*a = 94. Is a - 7\/(21\/9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 2754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -98 - -125. Suppose -29*c + g*c = -464. List the prime factors of c.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -22*o**3 + o**2 + 2*o + 1. Let t be f(-1). Suppose -58 + t = -3*c - p, -4*c + 49 = p. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 1 + u**3 + 44*u - u**4 + 2*u**4 - 42*u - 2*u**3 to p*u**3 + q*u + m*u**2 + k*u**4 + t and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -14*c. Let s(h) = -488*h. Give z(s(f)).\nAnswer: 6832*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -p - 4. Suppose -p*c - 27 = -t, -t + c + 73 = 2*t. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f + 3*x + 9, -5*f - 43 + 40 = x for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/15 + 15002*n**2\/15 + 1876000*n + 1875000.\nAnswer: 2*(n + 1)*(n + 3750)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = -h + 17, 0 = 2*z + 2*h - 20. Suppose 10 + 4 = z*d. Calculate the greatest common divisor of d and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 + (-217)\/(-63))*78\/16. Let c = 29\/4 + g. Is c > 0.046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 + 10*a + 3. Let h be t(-10). Suppose 2*w = 2*u - h*u + 90, -2*u = -8. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, n: 5, r: 5, z: 4, c: 1}. Give prob of sequence lcn.\nAnswer: 1\/672","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 2*y - 10 = 0, 0 = -h - 0*h + y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 3 c when four letters picked without replacement from {y: 7, c: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 4*f = z, 3*z - 21 = 3*f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - m + 4155. Let g(j) = -2*j. Calculate g(s(v)).\nAnswer: 2*v**2 + 2*v - 8310","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1318 divide 38617400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883772.2 millennia to decades.\nAnswer: 88377220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (-24)\/(-9))*75\/250. Let y = 0.05 + -0.05. What is the nearest to 5 in y, t, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 88706 - 4*i - 177368 + 88317 as n*i + k and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -8*c**2 + 120*c + 132. What is t(16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1260715*q**4*y**3 - 22*q**3 + y**3 - 36876083*y wrt q?\nAnswer: 5042860*q**3*y**3 - 66*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 660 - -1441. List the prime factors of t.\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2335)\/(-75) - (4\/(-30))\/(-1). Solve -d = 24*s + 17 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, y: 7}. What is prob of picking 4 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 - s**4 + 0*s**2 + 89 - 91 to d + a*s**4 + l*s + t*s**3 + m*s**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -41 - (57 - (-75 + 65)).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14373775 is divided by 933?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 + 21\/15. Let m = -84 + 35. Let q = -149\/3 - m. Which is the closest to -2? (a) s (b) q (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - -4)\/(-4)*1. Let m be (3 - 0) + -9 - t. Sort 1, -3, m.\nAnswer: m, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 255.379 millilitres to litres.\nAnswer: 0.255379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -i + 134*i**2 - 67*i**2 - 20*i**3 - 2 - 67*i**2 as y*i**2 + t + o*i + z*i**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 679899*w - 2*w**2 - 679899*w.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 3 - 10 + 2 + 0 - 3 + (2 - 4 + 1)*(-1 + 2 - 3))*(-2*t**3 + 0*t**3 - 7*t**3) to z*t + k*t**3 + q + h*t**2 and give k.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-2\/63)\/a*a**(-3\/10) assuming a is positive.\nAnswer: a**(-209\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170341.\nAnswer: 170341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 573541162 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 3*x**2 - 1. Let s be l(-3). Let f = -86 + 149. Let p = 954038 + -954041. Put f, p, 0, s in descending order.\nAnswer: f, 0, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -150, 21, -12, 5.\nAnswer: -150, -12, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -229*m - 855. What is i(-4)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/6)\/(3\/18). Suppose 5 = 3*z - 7. Solve -4*q - 14 = t, -z*t + u = -2*q - q for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*m - 0. Let q = 427 - 427.3. Put q, m, 1 in descending order.\nAnswer: 1, q, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*s**4 + 4*s**4 + 3*s**4 + (-2 + 2 + 16*s)*(11*s**2 - 11*s**2 - 7*s**3).\nAnswer: -109*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -3b8b7505?\nAnswer: 3b8b7508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 20*i**3 + 3*i + 29*i**3.\nAnswer: 49*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 335872 = 10084*w - 933957 + 542715 - 684646 for w.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -36 and 38.42074.\nAnswer: -1383.14664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2*(sqrt(1053)*2 - sqrt(1053)))**2 + 0 + 3*sqrt(1053) + -3 + ((sqrt(1053) - (0 + sqrt(1053)))*2 + 5)**2.\nAnswer: 27*sqrt(13) + 4230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60073771 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.11410262 + -0.0741027. Let t = 1 + -0.96. Let b = t - l. What is b rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 9.72059?\nAnswer: 38.88236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -6*h**2 - 3*h + 8. Let j(f) be the third derivative of f**4\/24 + f**3\/6 + 5*f**2. Let t(x) = 3*j(x) + m(x). Differentiate t(u) with respect to u.\nAnswer: -12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2851, 5698, 10443, 17086?\n\"Answer: 949*d**2 + 1902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 2 - -13) + -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-15)\/12)\/(1\/(-4)). Suppose -3*g - b = -g - u, -u - 5 = 3*g. Is 47 - (1 + -1) - g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 2, 0.4632, 2\/11, -4 in ascending order.\nAnswer: -4, -0.2, 2\/11, 0.4632, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101890 is divided by 728?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 12) to base 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**2 + 3*x + 3. Let r be n(-2). Solve r*s + 10 = -2*d - 5, 4*s = -4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*q - 5 = 0, 4*q - 2 = 2*v + 2*q. Let s be (-4)\/30*6\/(-4). Which is the nearest to -0.1? (a) -1\/4 (b) s (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*m - 1185*m - 686 + 343 + 343.\nAnswer: -1454*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.04 + 0. Let c = 0.01 + 0.05. Let h = c - j. Sort 1\/3, 5, h in ascending order.\nAnswer: h, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iruu when four letters picked without replacement from iiuriuuiir.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 5*u**3 + 2*u + 1. Let j be f(-1). Let b(w) = 1. Let r be ((-266)\/(-34))\/(-7) + 266\/2261. Let v(o) = -4*o - 6. What is j*b(m) + r*v(m)?\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of y**3\/6 + 433*y**2\/2 + 578*y - 2. Let s(q) = -2*q. Determine n(s(i)).\nAnswer: -2*i + 433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 100 is divided by 18.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61751?\nAnswer: 61751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -100110001011?\nAnswer: -100110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21463*t**2 - 6262*t**2 - t + 7499*t**2 - 20260*t**2.\nAnswer: -40486*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*f + f. Calculate the remainder when 55 is divided by f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3\/5 - 4161954*p**2\/5 - 433046943648*p - 2165230556288\/5 = 0.\nAnswer: -1040488, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of -25\/24*h**4 + 0*h**3 + 0 + 7*h - 1\/36*h**5 - 3*h**2. Suppose o(b) = 0. Calculate b.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -71*k**6\/24 - k**3\/6 - 36*k**2. Let h be 1*(-3 - (2 + -4)). Let c be s(h). Round c to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 0.4, 4, -359, -1\/4, 1\/7, -14.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(2\/9))**(2\/119)*t**(-3)\/(((t*t**(-2\/29)*t)\/t)\/t)*t**3*t**(-1\/11)*(t**(-3)*t)\/(t**(-3\/4)\/t) assuming t is positive.\nAnswer: t**(-50539\/195228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 18 = -x + 4 - 7, 30*r - 271 = 3*x - 40*r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 10*j - 53. Calculate o(-2).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3474 = 139*j - 133*j. List the prime factors of j.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 12*w - 14*w = 0, -a + 4*w = -15. Let c be 3\/((-40)\/(-14) - 3). Let m = 47\/2 + c. Which is smaller: m or a?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -28. What is the second derivative of -51 - 2*r**2 + 96 - 45 - h*r + 10*r**4 wrt r?\nAnswer: 120*r**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -835*d**2 - 7*d - 6. Let m be x(-1). What is the remainder when 67 is divided by m\/(-24) - 1\/(-4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2bd03c6 - -3?\nAnswer: 2bd03c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 11*g**2 - 13*g - 6. Let v(y) = y**2 - 12*y + 8. Let s be v(10). Let r be c(s). Solve u = -5*p + 2*p - r, u + 8 = -5*p for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 1:55 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 1. Let p(z) = 5*z**2 - z + 2. Let d be p(v). Solve -d*u = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/119 and 107\/272?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15678228 to the power of 1\/2, to the nearest integer?\nAnswer: 3960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a + 7. What is h(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b - 9. Let n be p(5). Suppose n*t = 12*t + 64. Let u = t + -3. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*q**2 + 34*q**2 + 8*q**3 + 4 + q + 23*q**2 - 76*q**2 - q**3 to the form f*q**2 + p + z*q + j*q**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -573, -1432, -2871, -5178, -8641, -13548?\nAnswer: -20187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 5:53 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04629 times 4?\nAnswer: -0.18516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279136 is divided by 254.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of r**2*x - 68*r**2 - 16*r*x - 3*r wrt r.\nAnswer: 2*x - 136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1198112 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-143)\/13 + 16 - 9. Sort -2, 2, -10, 0, g.\nAnswer: -10, g, -2, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 49, -3, 1, -164, -2 in descending order.\nAnswer: 78, 49, 1, -2, -3, -164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4477 (base 8) in base 10?\nAnswer: -2367","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13888 is divided by 13874?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*c + 3*c - 9. Suppose -c + 30 = 3*q. Suppose -h + 28 = -q. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3830747404.8087 take away -5?\nAnswer: 3830747409.8087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 + -12. Suppose 5 = 5*s - 5. Suppose 14 = n*q - s. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36259\/2 - -165232265\/9114. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/9)\/(((-5)\/(-75))\/1). Calculate the common denominator of 145\/b*-4*(-5)\/280 and (94\/20 - 0) + 1.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhh. What is prob of picking 4 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -1\/2*a**2 + 5 + 9\/4*a**4 + 0*a + 2\/3*a**3. Let o be (1 - (-2)\/(-3))*(7 + -4). Calculate z(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 6:09 PM?\nAnswer: 12:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 + 59*h + 54*h - 28 + 53*h - 232*h.\nAnswer: -66*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 36 = 4*r, -2*r + 6*r = -l + 36. Solve -4*a = -1 + r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 10:31 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 35 + -28. Suppose -9*c = -w*c - 13290. Is (72\/108)\/(2\/c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 15 = -9*v. Let w(y) = y**3 - 2*y**2 + 9*y - 11. What are the prime factors of w(v)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in three fifths of a kilogram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 161 - 1285\/8. Which is the closest to 1? (a) h (b) 1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9078 = 18453738*l - 18454005*l for l.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/10 and 23\/51985?\nAnswer: 103970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18850 and 1809310?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d + 4. Let w be z(0). What is the third derivative of -8*v**5 - 804*v**2 - 4 + 3*v**5 + w*v**6 + 799*v**2 wrt v?\nAnswer: 480*v**3 - 300*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-204)\/10 - (-4)\/10. Suppose -4*l = -6*g + g - 2, 3*g = l + 3. Is 5 a factor of g\/(-8) - 505\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3720 = x + 3*x. Calculate the smallest common multiple of 12 and x.\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2 from -972.\nAnswer: -970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/3 + 364*w**2\/3 + 69210*w + 5491800.\nAnswer: -2*(w - 452)*(w + 135)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 176\/3 + -58. Let q = 0.05 + 0.35. Let t = 51\/26 - 6\/13. Which is the closest to 1? (a) t (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2644706 + 2022800?\nAnswer: -621906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -5*y - 25280, -2084 = -f + 5*y + 2968. Calculate the remainder when f is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7869684804 from -0.651.\nAnswer: -7869684804.651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 8, d: 1, g: 5, v: 5}. Give prob of picking 2 s.\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52532 and 276.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17195?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9*b**3*l + 48*b**2*l**2 - 297*l**2 with respect to b.\nAnswer: -27*b**2*l + 96*b*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*-16123368.\nAnswer: 322467360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzjzpqzpqzzj. Give prob of picking 2 q and 1 j.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 5, -7, 0.27 in increasing order.\nAnswer: -7, 0.27, 1\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 752.3298264 rounded to 1 decimal place?\nAnswer: 752.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o - 5*m - 229, -2*o - 4*m - 230 = 0. Let c be (-12)\/9 - 174\/o. Factor 8\/13*d**2 + 0 + c*d.\nAnswer: 2*d*(4*d + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3765*y - 3798*y + 7563*y - 10*y**2 - 20*y**2.\nAnswer: -30*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 77*o**2 + 2*o. Let a(i) = -462*i**2 - 12*i. Let c(k) = -6*a(k) - 34*q(k). Let x be c(-3). Let b = x + -463. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-1 - -1 - 74). Let i be (-4)\/(-10) + u\/(-5). Suppose 5*b + i = 40. Solve -b*l + s - 11 = 0, l - 5*l - s - 7 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 28 + 52. Let h be (n\/(-3))\/(8\/36). Let o be 2404\/h - (-36)\/(-270). What is the greatest common divisor of o and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4861 * 5853\nAnswer: 28451433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 5:55 AM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - 41. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-10 - (5 + (-6 - 0 - 0)))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 310231 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1081511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2336*z**3 + 4669*z**3 + 77*z**4 + 131*z**2 - 2335*z**3 wrt z.\nAnswer: 1848*z - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/2480528 and 113\/19236.\nAnswer: 52091088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1339 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -5365*d - 5445485. Determine t(-1015).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rhprqorfrofphr. What is prob of picking 2 f and 2 h?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(125) - (sqrt(125)*2 + 5)))**2.\nAnswer: 450*sqrt(5) + 1350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6669, 13310, 19867, 26316, 32633, 38794?\nAnswer: 44775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 2*c - 2. Let f be (12\/9)\/((-1)\/3). Let l(q) = -182*q**2 + 8*q - 147. Let b(r) = f*o(r) - l(r). Differentiate b(y) with respect to y.\nAnswer: 356*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 5 - 19*y - 7*y.\nAnswer: -26*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 8*w**2 + 7*w - 5. Let i be r(-7). Let a be (-19)\/i*-2 - (-4)\/(-10). Let n(b) = b**2 + 8*b - 3. Determine n(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 9*d**2 - 1536*d + 8399. Calculate r(165).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u**4 - 52*u**3 + 176*u**2 - 44*u - 72 = 0. What is u?\nAnswer: -9, -1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1817\/46 + 3\/(-2). What is the third derivative of 7*r**2 - x - 61*r**3 + 38 + 8*r**2 wrt r?\nAnswer: -366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w**5 + 25752*w**4 - 1139548*w**3 + 8328432*w**2 + 35936208*w = 0.\nAnswer: -6482, -3, 0, 14, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 325 = -21*l + 231 - 200 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41648 is divided by 337.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16116561 (base 8) to base 13.\nAnswer: 9cba74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 + 9 + -8 + -38 + 2 + (-73 - -1)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12892 - -12887.964. Round q to two decimal places.\nAnswer: -4.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 409707*j**3 - 3317 + 3317.\nAnswer: 409707*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -4391*u**3 - u**2 + 4*u + 5. Is l(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86974?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 885*w - 9905. Determine i(11).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 i when three letters picked without replacement from {e: 1, b: 1, m: 4, i: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.28 + 18.28. Suppose -3*u - 4*i - 51 = -36, 3*i = 4*u + 20. Let s be ((-2)\/(-4))\/((-1)\/(-3)). Which is the third smallest value? (a) s (b) z (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-18)*-1*2. Suppose 49 = t + 25. Let a be 210\/t + (15\/(-4))\/5. Sort a, -2\/7, q.\nAnswer: -2\/7, q, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 5*v = -3*j - 1, -3*j - 3*v = 6. Sort 1\/12, 4, j in increasing order.\nAnswer: j, 1\/12, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 18*b + 39. Give q(17).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -3\/10*k**5 + 0*k**2 + 0*k**3 + k - 53\/12*k**4 + 10 - 5\/21*k**7 + 0*k**6. What is the third derivative of o(p) wrt p?\nAnswer: -600*p**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6181 is divided by 364?\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26393.\nAnswer: 26393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003459344201 to 7 decimal places.\nAnswer: 0.0000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2*n**2*t - a**2*n*t + 2*a**2 - 18*a*n**2*t - 312*a*n*t + 237*n**2*t + n wrt n?\nAnswer: 2*a**2*t - 36*a*t + 474*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21523378963 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p + 120. Suppose -6*v - 5*t - 49 = -3*v, 3*t - 81 = 3*v. Let s be o(v). Let j = 0.7 + -0.2. What is the second biggest value in -0.1, s, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.37, 50, 1.606?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 + 23 + 2*k**2 - 17)*((1 - 2 - 3)*(0 + 1 - 2) + 5 + 5 - 2) as s*k + p*k**2 + l and give l.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v**2 + v**2 - 4*v**2)*(-1 + 1 - 1 + (-1 - 2 + 2)*(0 + 0 + 1)).\nAnswer: 20*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 39, 9, -3 in decreasing order.\nAnswer: 39, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, i: 1, j: 1, f: 1, y: 1, b: 1}. What is prob of sequence fxxi?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1724028336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 19. Solve 0 = 5*z - w*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001121409 to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-30) - (27\/5 + -5). Sort 1\/2, t, -6\/11 in increasing order.\nAnswer: -6\/11, t, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(117) + sqrt(117) - sqrt(117) - (sqrt(117)*-2*-5 - sqrt(117)))\/(sqrt(36)\/(sqrt(8)\/sqrt(2)) + (sqrt(81) - sqrt(81)*-2)) + 2.\nAnswer: -4*sqrt(13)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1030 (base 15) to base 4\nAnswer: -311130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 13*u**7\/7 - u**6\/12 + 17*u**5\/12 - 13*u**4\/12 - 4308*u**2. What is the third derivative of t(h) wrt h?\nAnswer: 9360*h - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -14. Suppose 3*t + 21 - 5 = 2*u, 0 = -5*u + 5*t + 30. Suppose -45 = -5*q - 4*g, 0 = -u*q - 5*g - f*g + 35. List the prime factors of q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -435789*g + 435792*g = 5*h + 2, 0 = 2*h - 2*g - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/(j**(20\/7)\/j)*j**(-4\/15)\/j*(j**(-1\/9))**(-1\/67) assuming j is positive.\nAnswer: j**(-44788\/21105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46369 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -10\/9, -2, 20\/101?\nAnswer: 20\/101","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 5*f**2 - 5*f - 6. Let p be n(-6). What is the common denominator of 121\/10 and 2 - 3 - (-262)\/p?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p**2 + 6953*p - 3479*p - 3474*p.\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11263539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 4*a**2 - 2*a - 4. Let d be v(4). Suppose -p - 27 + 101 = 0. Let t = d + p. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1338447 times -0.07\nAnswer: -93691.29","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/3)\/(681\/(-4086))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 581*l**2 - 23261*l + 841. Calculate h(40).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -11101158 divided by 5550579\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h. Let l be -4 + 4 + 4 + h. Solve s = -l*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0358 * 0.31.\nAnswer: 0.011098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q - 88. Let a = q - 18. Find the third derivative of 2*z**a + 0*z**3 - 2*z**2 - z**3 + z**3 wrt z.\nAnswer: 48*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1951 + 1847 = -801*l + 7105 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-35)\/(-11) - 14\/77. Suppose -c = d - 2, 0*d - 8 = -4*c + 5*d. Determine w, given that -3*w**n + w**c + 4*w**3 - 2*w**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - 2*t = 4*w + 4, 6 = 2*t. Let c be ((-2)\/6)\/(2\/(-4)). Is w less than or equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 435.5876 meters?\nAnswer: 435587600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 232 divide 172367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 141*m**2 + 11*m + 1. Let l be t(10). What is the units digit of l\/54 + 1\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-2\/3))**(5\/4))**(10\/13) assuming v is positive.\nAnswer: v**(-25\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4 = 11*b - 6*b, 5*b + 2*u - 6 = 0. Let n(y) = 28*y - 3*y - b*y. Let r(v) = -v**2. What is r(n(w))?\nAnswer: -529*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g**2 - 4467*g - 35928 = 0. Calculate g.\nAnswer: -8, 1497","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*2\/4*0. Let z(w) = 2*w**2 + p*w + w + 9*w - 9. Is z(-8) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21477649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -80 or -20800\/259?\nAnswer: -20800\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z**3 - 5*z**3 + z**2 + 5*z**3 + (-z**2 + 1 - 1)*((6 - 4 - 3)*(0*z - 2*z + z) - 8*z + 15 - 15) as g*z + q*z**3 + o + u*z**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.86*-16001679.\nAnswer: -13761443.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 1 (b) -6\/25 (c) -3.2 (d) 5 (e) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, 0, -25 in increasing order.\nAnswer: -25, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6292*d - 181*d + 192372 = -2081*d + 741236 for d.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-5 + (4 - 2)) - -6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 68 and -245\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 105566822 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c = 2*c - 4015. List the prime factors of c.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p**2 + p + 14*p**2 + 21*p**3 + 4*p**2 - 12*p**2 - 5*p**2 to the form l + w*p**3 + x*p + j*p**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3849003200 to the nearest 1000000.\nAnswer: 3849000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/2 (b) 13106 (c) -476\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c*c**2*c))\/c))\/c**0)\/(c**0\/c)**43*(c*c**(-1\/4))**(-3)*(c**(-2\/5))**(-28) assuming c is positive.\nAnswer: c**(1139\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1178 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-10)*(-19)\/(418\/(-55)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 560564611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from epqeeqpvqvvvvvdd. Give prob of sequence vpqv.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1569 is divided by 260.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -69451 and 8.\nAnswer: -69443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1032 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnvvvltlhvlvlhlhv. What is prob of picking 1 h and 1 n?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/978696 and 65\/297.\nAnswer: 10765656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132183811?\nAnswer: 132183811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 2*x**2 + 3*x - 2153. Let n(v) = -2*v**3 + 5*v**2 - 7*v + 4306. Let u(w) = -2*n(w) - 5*z(w). Is u(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1749*a**4 + 71*a**3 - a**2 - 395025*a wrt a.\nAnswer: 20988*a**2 + 426*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 522 + 542 = 0. Calculate the lowest common multiple of m and 408.\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 21 = 3*k, -3 - 2 = x + 3*k. Let h be 0\/(0 - (2 - x)). What is h rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -30. Put r, 1, 4 in descending order.\nAnswer: 4, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*k**3 + k**5 - 8*k**3 + 31*k**3 - 106*k - 46*k + 46*k - 8*k**5 + k**5 - 2 + 2 + (-k**5 + 5*k**5 - 2*k**5)*(3 + 1 - 5).\nAnswer: -8*k**5 + k**3 - 106*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -8*m - 2. Let u(k) = 3 + 0 - 3 + k + 1. Let t(v) = -v**3 - 10*v**2 + 11*v + 1. Let g be t(-11). What is g*x(w) + 6*u(w)?\nAnswer: -2*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82 + -44. Suppose v = 6*m + 218. Let c be ((-4)\/m)\/(24\/(-40)). What is the smallest value in c, 0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 91 and 65?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n + 2*n**3 + n - n**3 - n**3 - 3*n**3 - 2*n**3 + 4 - 4 + (-2*n**3 + 0*n**2 + 0*n**2)*(-2 - 1 + 4) - 6*n**3 + n**3 + 4*n**3 - 13*n**3 - 6*n**3 - 28*n**3.\nAnswer: -55*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 6\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 7:25 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 2*f + 200. Let v be 248\/(-10)*-2*f\/10. Is -124 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4520544 and 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*x - 36*x = 109. What is the remainder when x is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 2.2. Let w be 3 - (-1)\/8*-22. Which is bigger: w or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-36))\/(480\/128).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 0*p**3 - 8*p**2 - 2 - 10*p - p**3 + 2*p. List the prime factors of d(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**5\/270 + 2*m**4\/27 - 5*m**3\/9 + 4*m**2 + 5. Determine s so that i(s) = 0.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8824*g*k - 7738*g + 369665400*k wrt g.\nAnswer: -8824*k - 7738","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 7956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003376949172 to four dps.\nAnswer: 0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of 15\/2*c**4 - 1\/3*c**3 + 0*c**2 + 47*c + 0. Let p(i) = -2*i**2. Determine f(p(x)).\nAnswer: 360*x**4 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 7766056639?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -5 + 6 + 6 - 9*h. Let q(c) = -562*c + 1671*c + 4 + 2 - 554*c - 563*c. Give 7*q(p) - 6*t(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -23*i**3 + 87*i**2 - 12*i - 72. What is z(3)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5 - 6 - 3*s**3 + 1 - 38*s wrt s.\nAnswer: -18*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 l when three letters picked without replacement from llkkklalkk?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = 8*j - 148. Is 41 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -11\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 229*a*u**3 - a*u**2 + 2*a*u + 28*a + 20243*u**3 - 857*u**2 + 2*u - 47 wrt u?\nAnswer: 1374*a + 121458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 13 = -0*r. Let m = r + 7. Calculate the smallest common multiple of m and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532970822 a multiple of 1002?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6*g. Suppose l + k + 19 = g, -5*l + k - 29 - 42 = 0. Let q be l\/(-21) + (-6)\/(-21). Which is the closest to q? (a) -4 (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -7*w**2 - 4*w - 3. Let u(h) = -3*h**2 - 2*h - 1. What is -4*r(x) + 10*u(x)?\nAnswer: -2*x**2 - 4*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i**3 + 92*i**2 + 22*i - 258. Let a be w(-45). What is the greatest common divisor of 30 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*s - 4, -3*s - 4*w + 6 = -9*w. Suppose h - 1 = 22. Solve -h = 5*g + s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + -19011a?\nAnswer: -190124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 4968939002?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a decade?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 466*w - 471*w + 2*w**2 - 38*w**3 + 5*w + 12 to c*w**3 + y*w + s*w**2 + x and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3026078218 to the nearest integer?\nAnswer: 55010","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dda when three letters picked without replacement from {d: 5, a: 3}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*i**4 + 4*i**3 - 4*i**3 + 28*i**4 - 5*i**3 - 1 in the form j*i**4 + r*i**2 + k*i + u*i**3 + g and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -595000 or -4165004\/7?\nAnswer: -595000","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -81*k + 1145. Let q(v) = -146*v + 2290. Determine 5*q(j) - 9*s(j).\nAnswer: -j + 1145","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 19*15 + (-16 - -16). Suppose -216 = 281*x - k*x. Let i(g) = -7*g + 3. Calculate the least common multiple of x and i(-3).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2829364137 a multiple of 159?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2631*f + 17 - 27 + 9 to a + r*f and give r.\nAnswer: -2631","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*h + 17*h = 7843. Let q = h + 716. Let l(v) = -v**2 - 4*v. Let o be l(-4). Solve o = 4*y - 3*y + q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a + 3. Is 10 a factor of i(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-6))\/(49\/(-21)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20 and 116.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 1 = 4. Let z be (1 + 4)*(-10)\/(-25). Factor 6*x - 6*x + 11*x**o + 5*x**3 - 4*x**z.\nAnswer: 4*x**2*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -r - 0*r. Suppose 4 = -4*v, s - r = -v + 5*v. Suppose q = -5*c + s, -q = q + c - 10. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55579446 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-j + 3*j + 2*j)*(2 - 1 + 1)*(-4 - 3 - 13) as f*j + p and give f.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**6\/120 - 7*i**5\/60 - i**4\/8 + 11*i**3\/6 - 28*i**2 + 6*i. Determine n(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1360908 by 36.\nAnswer: 37803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**3 + 66*b**2 + 11*b + 57. Let g be u(-19). Suppose -c - 1128 = -g. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1210 and 100?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 5789*g + 5788*g + 5794*g - 264*g**2 - 17371*g. Let h(x) = 4*x. Determine h(u(s)).\nAnswer: -1056*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does -3\/205 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -1, -3, -46 in decreasing order.\nAnswer: 5, -1, -3, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f**2. Let c(o) = 615*o**2. Give x(c(i)).\nAnswer: 1512900*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 42?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5906281, -5906278, -5906271, -5906260, -5906245?\n\"Answer: 2*j**2 - 3*j - 5906280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 11*n**3 + 18*n - 4. Let w(v) = -10*v**3 - 19*v + 5. Let a(m) = -5*k(m) - 4*w(m). Find the second derivative of a(d) wrt d.\nAnswer: -90*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-63)\/(-45))\/(-7))\/(4\/380).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 - (8\/40*15 - -5). Let p(s) = 2*s + 4. Suppose z + 0*z + 7 = -2*c, 2*c + 3*z + 5 = 0. Let r be p(c). Put -1, r, l in increasing order.\nAnswer: r, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 375*y - 6249 = -223*y - 57677 for y.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6677000 to the nearest 100000.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*315820\nAnswer: -63164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 15800315 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*f + 20 = 0, 0 = 3*f + 679 - 667. Solve 24*g - 5*t = 20*g - 4, g + t + 1 = y for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/6 and 59\/278?\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eleven quarters of a milligram?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -565*l**3 + 686*l**2 - 7140*l - 318 wrt l.\nAnswer: -3390*l + 1372","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 406*b - 275*b - 1583*b + 184*b - 1041*b to t*b + g and give t.\nAnswer: -2309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + -1)\/(5 + -4). Suppose 4*w + 0*l - 12 = 2*l, 4*l - 16 = x. What is the remainder when 9 is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - 189?\nAnswer: -173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 153 - 3\/2*x**2 + 23*x**4 + 11*x + 0*x**3. Find the second derivative of c(i) wrt i.\nAnswer: 552*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -128, 4 in descending order.\nAnswer: 8, 4, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -21. Suppose -22*t + g = -19*t. Solve -r = -t + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 120*o**4 + 25684*o**3 - 8983304*o**2 + 521565168*o + 17395488 = 0.\nAnswer: -418, -1\/30, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 67637 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-1*-3 - sqrt(152))\/((sqrt(24)*3)\/sqrt(3)).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 8*x - 12 = i, -2*x = 4*i - 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 443341 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 + 8. Let u = 0 - y. Let t = u - -2. Is t a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 4 (b) 0.2 (c) -4 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - 1) + -225 + 240.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1207, -2386, -3541, -4672, -5779, -6862?\nAnswer: -7921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - f - 32 = 3*f, -c - 3*f = 20. Let w = 5 + c. Let k(d) be the first derivative of -d**4\/4 - 2*d**3\/3 + 5*d**2\/2 + 3*d - 1. Give k(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 192 - 182. Let g be (-416999991)\/(-15) - (-6)\/x. Round g to the nearest one million.\nAnswer: 28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1253\/210 + 2\/6 and (-3 - -6)*(-3)\/63.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 80 and 35.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1520126\/7 greater than 217160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -116.17195 - -0.17195. What is the second biggest value in -1, 3\/2, 1\/5, l, -2\/13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 4)*(-1 - 0). Suppose 6*b - 23 = 4*b - p*g, 4*g = 5*b - 140. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaoa when four letters picked without replacement from {o: 3, a: 5, m: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**2 + 282*m - 2121 = 0?\nAnswer: -101, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-30745)\/(-22))\/(-43)*(-1248)\/10.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z - 22. Let p(t) = -t. Let i(m) = 6*p(m) + w(m). What is the remainder when 37 is divided by i(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 5 = -3*v, -3*v = o + 2969988. Round o to the nearest 10000.\nAnswer: -2970000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/24072 and 115\/2178516.\nAnswer: 4357032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 948 - 943. Suppose -2*q - 835 = -k*l + 1447, 0 = -l + 4*q + 460. Calculate the remainder when l is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2785200 rounded to the nearest 10000?\nAnswer: 2790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30381457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -13*(-2)\/(-30) - 2004\/15030 - (-20)\/16?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 - -986?\nAnswer: 988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -27 - 181*d + 209*d - 19 - 37. What is the least common multiple of 4 and h(8)?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = 11. Let a = 33 - o. Calculate the remainder when 34 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 12*y**2 + 13. Let q = -53 + 45. Is b(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45590 and 118534?\nAnswer: 592670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8625359.\nAnswer: 8625359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/75 and 23\/171250740.\nAnswer: 856253700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 820 + -816. Let b(y) = 11*y - 1. Let u be b(1). Suppose -o*l - 16 - 7 = -v, 2*v = -l + u. What is the remainder when 24 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.2473 micrometers?\nAnswer: 0.00032473","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 2638 = 838. What is w rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -c - 15, 3*v + 42 = 4*c + 7. Solve 3*f - 2 = r, -r + 6 = -c*f + 3*r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.4, 2, -23612 in increasing order.\nAnswer: -23612, -3, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 7*v**2 + 6*v + 11. Calculate y(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) - (sqrt(1872) + 3 + 3*sqrt(1872)) - (((-2 + sqrt(1872))*5)**2 + sqrt(1872)) - (sqrt(1872) + 5*(sqrt(1872) + (sqrt(1872) + 3)**2) + 0)*-1.\nAnswer: -37498 + 1584*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -18ba - -2?\nAnswer: -18b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.02 and -4.\nAnswer: -12.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1772044, 1772092, 1772138, 1772182, 1772224, 1772264?\nAnswer: 1772302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4607 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18\/(-135) - -2*(-19002)\/(-180) is divided by 47?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1780, 1799, 1810, 1819, 1832, 1855, 1894, 1955?\nAnswer: 2044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1878?\nAnswer: 2, 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 2*w**3\/3 + 11*w**2 + 22*w + 32. Let h be z(-10). Solve -2 = -h*k - 8 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.2 + -1. Let i = 3.2 - h. Let k = 6.8 - 7. What is the nearest to k in 2, i, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 27*k + 87\/2*k**2 + 3\/2*k**4 + 0 + 18*k**3 = 0.\nAnswer: -9, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8003, -7940, -7891, -7862, -7859, -7888, -7955?\n\"Answer: -r**3 - r**2 + 73*r - 8074","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 17430 and 42?\nAnswer: 17430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)*j*j\/(j\/(j*j**(2\/9)))*j**(-3)*j**(-2))**(-2\/15) assuming j is positive.\nAnswer: j**(68\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of -n**6\/40 + n**5\/60 - n**4\/12 - n**3\/3 - 3*n**2. Let k(b) = b**2 + b + 1. Let o(g) = d(g) + 2*k(g). Factor o(i).\nAnswer: -3*i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence momo when four letters picked without replacement from looommmmoomlo.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msuusguugg. What is prob of picking 2 u?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 12*o - 2. Let b = -30 - -34. What is the tens digit of n(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 990 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggy when three letters picked without replacement from ygyyygygggygyyygggy.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 960 and 1860?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of -w**8\/50400 - w**7\/3150 - w**5\/6 + 4*w**2. Let v(l) be the third derivative of m(l). Factor v(c).\nAnswer: -2*c*(c + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/6)\/(4\/(-6)). Let l(r) = 4*r**3 + r**3 - 6*r**i - 7*r**3 - 3 - 2*r. Is l(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 6*q - 5. Let w(j) = j**3 - j**2 + j + 5. Let g be w(0). Let u be t(g). Solve -2 = p, -s + 4*p + p + 13 = u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 + 101*h**2 - 546*h + 230. What is w(-106)?\nAnswer: 1926","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.951 - 0.951. Let q be (-9)\/(-69)*-7 - -1. Sort q, -2, k in descending order.\nAnswer: q, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 x when three letters picked without replacement from rrrrrrxrrrrrr.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of 0 + 0*s**3 - 13*s - 1\/3*s**4 - 5\/2*s**2. What is the first derivative of q(r) wrt r?\nAnswer: -8*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -243*z**2\/2 - 130*z - 43. Differentiate f(s) with respect to s.\nAnswer: -243","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 0, -325, -5 in decreasing order.\nAnswer: 24, 0, -5, -325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -258 + 258.5. Which is the smallest value? (a) -11 (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(1\/13)*l**12*(l*((l*l\/l**(6\/7)*l)\/l)\/l)\/l*l\/(l*l**(-2\/23)) assuming l is positive.\nAnswer: l**(25758\/2093)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 11:00 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5786 or -0.1?\nAnswer: -5786","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 15*l - 51. Solve -l*r + 0*r - 12 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 943253 to the power of 1\/2, to the nearest integer?\nAnswer: 971","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -74 (base 12) to base 6\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of -w**6\/45 - w**4\/6 - w**3 + 7*w. Let a(b) be the second derivative of g(b). Differentiate a(k) wrt k.\nAnswer: -16*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/14)\/(189\/882)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1303 (base 8) to base 4\nAnswer: 23003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17.6? (a) -4 (b) 3.1 (c) 3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001273 to six decimal places.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12401?\nAnswer: 12401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 24 = 4*d + z, -2*d + 4*z + 10 = 0. Sort 0, -3, d, -1 in increasing order.\nAnswer: d, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 30 (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 6*j - 6. Let u be w(-4). Suppose 1 + u = o. Let t = o + -2. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 + 1b04931?\nAnswer: 1b04948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -64*i + 63*i - 13, 0 = -5*r + 25. Sort 104, 9, i, -5 in descending order.\nAnswer: 104, 9, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilometer in meters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1716 (base 15) in base 2?\nAnswer: -1001101101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 + (-6 - -13) - 7) + -5 + 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/8 + -2 + 0. Let q = 22.3 + -21.8. Which is the nearest to y? (a) -3 (b) q (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(252) + -2).\nAnswer: -36*sqrt(7) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -55*f + 205. What are the prime factors of r(3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 204821 and 9.\nAnswer: 1843389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 5*x = -d + 29, -2*x + 8 = 2*d. Let j = d - -3. Suppose -n = 3*a - 78, 60 = a + j*a - 5*n. Does 11 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of -5*x**3\/6 + 10*x**2 + 8*x. What is the tens digit of l(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4*p, 4*i - 19 = 2*p + 1. Does 7 divide (-35)\/p*(-20)\/(-25)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28*(2\/12)\/(230\/(-345)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -230102101 + 0?\nAnswer: -230102101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j + 1385 = -8*j. Suppose 5*k + j = -6*v + 11*v, -3*k - 15 = 0. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ozzooozzoopzzzozo. What is prob of sequence pozo?\nAnswer: 2\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t. Let y(l) = -10*l. Let w(u) = -14*j(u) + 4*y(u). Let s(b) = 7*b**2. Determine s(w(i)).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 k, and 2 s when four letters picked without replacement from fsfsfkoftt?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4046209 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -304.5 - -303.2299. What is c rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/((z\/(z\/(z*((((z**(1\/2)*z)\/z)\/z)\/z)\/z*z)))\/z))**(2\/37))**(-3\/29) assuming z is positive.\nAnswer: z**(-27\/1073)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c - 9. Suppose w = 3*w - 16. Let z be t(w). Let k be (-2)\/(-2)*z + 3. Solve -1 = -a + k for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - q**2 - 3*q**2)*(q + 3*q - 6*q) - 4*q**3 + 9*q**3 - 3*q**3 - 4*q**3 - 2*q**3 + 3*q**3 + 2*q - 59*q**3 + 85*q**3 + q.\nAnswer: 27*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19799 and 36283.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -2*z + 2*o, o - 45 + 115 = -15*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, 7731, -77.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.652 - -0.252. Let f = -3 - -3.12. Let t = f - 0.02. Which is the closest to 0? (a) p (b) 4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3842515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ((-114)\/171 - (-34)\/6) + -3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -6. Suppose -138 + 28 = -c*s. What is the greatest common divisor of s and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z**3 + 1244250*z**2 - 3732715*z + 2488470 = 0. What is z?\nAnswer: 1, 2, 248847","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1 + (sqrt(5) + -1 + 5 - (sqrt(5) + (sqrt(40) + sqrt(160))\/sqrt(8) + sqrt(5)))).\nAnswer: -9 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.05? (a) 0.3 (b) 0.5 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -9379 (b) -2\/11 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, 2\/11, 58, 0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4600, -4607, -4614, -4621, -4628, -4635?\n\"Answer: -7*b - 4593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 9 + 11 + 32)*(-202*w**3 + 30600*w - 30600*w).\nAnswer: -9494*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from kkkww?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4315*m - 4310*m, 5*x - 28 = -m for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 102*d = 100*d - 91648, 3*o = d + 137478. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 2 + 3)*(-2*v + 4*v - 4*v)*(1 + 0 + 2)*(9*v + 89 - 89).\nAnswer: 486*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -2*k - 2*a - 3*a, 3*k = -2*a + 22. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-2 + 3 + 7 + -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -81989 rounded to the nearest 1000?\nAnswer: -82000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 102200110 (base 3) to base 8\nAnswer: 20505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6) - (-3)\/(2 - (-497)\/(-280))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4*b**3 - 2*b**2 + 2*b - 1. Let c(s) = -21*s**3 + 6*s**2 - 9*s + 5 - 19*s + 4*s**2 + 17*s. Give -2*c(k) - 11*z(k).\nAnswer: -2*k**3 + 2*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 5*b + 2 - 1 - b.\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 858 and 6974?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u. Let h(a) = -33107*a. Calculate s(h(r)).\nAnswer: -66214*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) 5 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10385 (b) 1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the third derivative of -f**4\/24 - 12*f**2. Let o(l) = 8*l. Give i(o(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61466.\nAnswer: 2, 73, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 220\/35 + 8\/(-28). Suppose -b*c - 180 = -9*c. Is 15 a factor of (18\/8)\/(9\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 27 - (0 + -3) - 11?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 9:57 PM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -927032 divided by -30.\nAnswer: 463516\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 134, 1420, 5134, 12560, 24982?\n\"Answer: 214*v**3 - 70*v**2 - 2*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13976 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: Suppose 0 = -m - 22 - 28. Let b = m - -84. Solve -3*g - 3 = -3*u - 9, 5*g - b = -3*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/(-38))\/((-465)\/186).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5562898 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000089093 to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 180\/(-54)*6\/(-4). Factor 2\/7*o**2 + 0*o - 2\/7*o**k + 0 - 6\/7*o**3 + 6\/7*o**4.\nAnswer: -2*o**2*(o - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28408 divided by 212?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of w - 7 + 1\/4*w**2 - 1\/24*w**4 + 0*w**3. Let d(r) be the first derivative of i(r). Find t such that d(t) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.974174 + 14983.83\nAnswer: 14979.855826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 - -43. Solve -5*v = -x, 0 = 7*t - 4*t - 3*v + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**2 - 215*t + 450 = 0?\nAnswer: -45, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1695929*b**2 + 3*b**3 + 1695929*b**2.\nAnswer: 3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35957 and 28741.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.08 + 3.08. Let j = -7180 + 21538\/3. What is the nearest to h in 1.2, j, 1\/5?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-12))\/(1\/36). Let h(q) = q**3 - 12*q**2 + 2*q + 12. Is h(f) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by -2270\nAnswer: -6\/1135","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 1030?\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -32142 (base 5) in base 9?\nAnswer: -2873","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, c: 5, w: 4}. What is prob of picking 1 w and 2 c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 divided by 77898?\nAnswer: -25\/77898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 2*p + 1. Let x be v(2). Let r = 5 + x. Does 2 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of s**5\/80 + s**4\/12 + s**3\/8 + s - 142. What is x in l(x) = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/7 (b) -4 (c) 185\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*(-30)\/70.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 4 - 1\/2*l**2 + 0*l + 0*l**3 + 3\/4*l**4. Find the second derivative of w(x) wrt x.\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 80 = -86. Let t be 4\/18 - (3 - 3). Which is the closest to 0.04? (a) -5\/6 (b) n (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -21. Let g be c\/6 - 26\/(-3). Let l(y) = 6*y + 14. Is l(g) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -97519, -195022, -292523, -390022?\n\"Answer: k**2 - 97506*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 42775033?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/30 and -1\/1580.\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55389?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z + 1035 + 19*z - 1035 - 8*z - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 51550609 to the power of 1\/3, to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/3)\/b*b**0*b*((((b\/(b\/b**7))\/b)\/b)\/b)\/b*b*b*(b*((b**2\/b)\/b)\/b)\/b)\/((b*b\/(b**5\/b)*b)\/b*b*b**1*b)**(2\/15) assuming b is positive.\nAnswer: b**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 267*b = 288*b - 210 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3070741 to the power of 1\/2, to the nearest integer?\nAnswer: 1752","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 824846400 a multiple of 2940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0034790298 rounded to four dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1782) - -2*sqrt(1782))\/(-1*sqrt(2)*5) + 5 + -4.\nAnswer: -27*sqrt(11)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-58)\/(-203))\/(3 - 36\/21).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 14*i**3 + 234*i**2 - 60*i + 199. Calculate j(-17).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 1\/15*c**6 + 0*c**5 + 0*c**4 - 1 - 19*c + 1\/21*c**7 + 0*c**2 + 35\/3*c**3. What is the second derivative of i(q) wrt q?\nAnswer: 40*q**3 + 24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z**2 - 95*z**3 - z + 92*z**3 + 4*z**2 + 2. Let n be v(1). Suppose 0*o - 4*x - 195 = 3*o, n = -3*o + 5*x - 168. Is o bigger than -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19519 and 975503.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 9 = c, -c = 2*v - 6*v + 15. Let l(h) be the first derivative of 2\/5*h - v + 2\/15*h**3 + 2\/5*h**2. Factor l(m).\nAnswer: 2*(m + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-288)\/48*406\/(-3).\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23636 divided by -2?\nAnswer: 11818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - (-13 + 16)) + 23?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 954*q*u**2 - 4*q*u - 29258*q - 4*u**2 wrt u?\nAnswer: 1908*q*u - 4*q - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -25610 - -53257. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 550554?\nAnswer: 2, 3, 89, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/3))**(-47)\/(x\/x**(-1))**(1\/3) assuming x is positive.\nAnswer: x**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 11) + (-14 - -9) + 1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 239568 and 3194240.\nAnswer: 9582720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -22 + 12. Let p be 0\/(2*3\/(-3)). Suppose -3*j = -0*j - 12. Solve -w*b - 8 = 0, -z + 3*z + j*b + 8 = p for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o**2 + 37*o**2 + 3*o**2.\nAnswer: 46*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 12:59 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 100785990?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 6. Let u be b(6). Let x(c) = 1 - c**2 + u + 11*c**3 - 2. Is x(2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hy when two letters picked without replacement from {y: 1, n: 3, q: 3, h: 1, t: 1, g: 5}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 d when four letters picked without replacement from {t: 2, d: 5, v: 3, j: 2, u: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11b6d (base 14) in base 3?\nAnswer: -2012112220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.3 - -24. Let z = 0.7 - i. Which is the second biggest value? (a) -1\/2 (b) -0.3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 8*o**2 + 10*o + 1. Give p(7).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2045584 to the nearest integer?\nAnswer: 1430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1007 (base 8) in base 7?\nAnswer: -1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 - 4*n**3 - 67*n**3.\nAnswer: -71*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {y: 1, a: 3, z: 3, h: 2, b: 1, n: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/300 and -22\/312375.\nAnswer: 1249500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -23 + 21. Sort p, -9, -3.\nAnswer: -9, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**3 + 2 + 0*z + 3*z**2 - 3\/2*z**4 + 3\/5*z**5. Factor w(s).\nAnswer: 3*s*(s - 2)*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 483690955.\nAnswer: 5, 11, 8794381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*k - 62*k - 71*k - 1203.\nAnswer: 3*k - 1203","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90 - z + 2 - 19*z - 70.\nAnswer: -20*z - 158","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-30)*-2*33\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5011, -20218, -45565, -81052, -126679, -182446?\n\"Answer: -5070*w**2 + 3*w + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41696, -41584, -41472?\nAnswer: -41360","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (15 + (1 - 2)). Let n(u) = -u**3 - 12*u**2 + 29*u + 31. Let y be n(-14). Let a = y + v. Calculate the remainder when 12 is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k + k)*(0*k**3 + 2*k**3 - k**3) + (-2 + 2 + 13*k)*(-k**3 - k**3 - 7*k**3).\nAnswer: -115*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.122 - 0.022. Sort -2, 0, y, -0.01 in decreasing order.\nAnswer: y, 0, -0.01, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5*c - 3*k + 21 = 0, -5*c - 2*k + 41 = 0. Suppose -2*b + 6*b = 18*b - 126. What is the highest common factor of c and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -26, 6, 4, -0.2, -0.1131, 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 3*w**2 + 5*w + 6. Let a be v(-4). Suppose 0*d + a*g - 5022 = -5*d, 2*d - 2024 = 3*g. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 583.767 + -539.69. Let d = -44 + u. Round d to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/135 - (-4172)\/10. Let j = l - 402. Solve -6*r = -r - j for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10914 minus 197.3830456?\nAnswer: 10716.6169544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -11*b + 10. Let c be u(18). Let q = 357 + c. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -11*m**2 - 9*m - 4. Let n(x) be the second derivative of 5*x**4\/12 + 2*x**3\/3 + x**2 + 5*x. Let p be (-1 - 2)\/((-8)\/(-16)). What is p*a(q) - 13*n(q)?\nAnswer: q**2 + 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.04 + -7.84. Let o = -8 - l. Do o and -1\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 2*d + 8 - 8*d - 2*d - 14*d**3. Let c(v) = -9*v**3 - 5*v + 5. Calculate 8*c(i) - 5*x(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 127295647 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -596 - -599. What is the second biggest value in 5, n, -37?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 2*a = -3*a - 9, 29 = -2*c - 5*a. Let d = -2.9 + 3. Is d at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 34848 and 10080.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*x + 6 + 18, 30 = 5*v + 5*x. Let o be 1\/4 - 138\/8. Let h be (o + 5)*(-5)\/4. Solve -v*n + h = -7*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -12*s - 2. Let o be f(-2). Suppose 0*p - p = -o. Let u = 29 - 7. Calculate the greatest common factor of p and u.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 12 - 6. Let v be (r + -2)*-3001 - -1. What is v rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19 in -2, 8, -1, 1\/17?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + k + 7 = 23, 0 = -4*a - 2*k + 8. Suppose 0*u - 8 = -a*u. Suppose -6562*o + 1920 = -6466*o. Solve o = -u*y - 2*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 16*x**2 + 18*x - 25. Let z be f(17). What is the common denominator of 47\/11 and ((-2)\/(-28))\/(z\/144)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**3 + 7*y**2 + 10*y - 11. Let t be d(8). Suppose 0 = u + t*h - 276 - 563, 1654 = 2*u + 4*h. Is (u\/27)\/((-1)\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*p - 50 + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g**3\/5 + 7868*g**2\/5 - 15748*g\/5 + 7876\/5 = 0.\nAnswer: -1969, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**3 - 9*r + 9. Let w = 18 - 12. Let l be ((-11 - -3)*w)\/1. Let t = l + 52. Let i(y) = y**3 - 4*y + 4. Give t*z(x) - 9*i(x).\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5642 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: List the prime factors of 1718902.\nAnswer: 2, 557, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -c - 0*c - 3*d - 7, -3*c = -d - 19 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-659*g**2 - 31*g**4 + 659*g**2)*(-3 - g + 4 + 9) - 3*g**5 + 4*g**5 - 2*g**5.\nAnswer: 30*g**5 - 310*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4 - 86*r**3 - 215*r**2 - 184*r - 52 = 0. What is r?\nAnswer: -26, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 4. Let k be v(0). Suppose -3*o + k*m = m + 18, -5*o - 37 = 2*m. Let x(n) = n + 7. Let q be x(o). Solve c + c = q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23847, 47578, 71309, 95040?\n\"Answer: 23731*w + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 2*a - 3. Let g be -284*(-3)\/24 - (-2)\/4. Suppose -3*i - f = -17, 4*i - g + 11 = f. Let y(z) = z - 1. Determine i*y(p) - 2*c(p).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 13 = 73. Let t be (8\/(-3))\/((-8)\/x). Solve t*r - 2 = 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.046303529 to five decimal places.\nAnswer: 0.0463","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 18, -2, -1 in descending order.\nAnswer: 18, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 501*h - 5*h**2 + 501*h.\nAnswer: -7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/j**(-5\/3)))\/(j*j**(2\/11)\/j))**11 assuming j is positive.\nAnswer: j**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 + 64*a**3 - 684*a**2 + 1944*a - 1728.\nAnswer: 4*(a - 3)**2*(a - 2)*(a + 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 142298 and 2873746.\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 957*h + 3 - 8 - h**2 + 5 - 957*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - (-66)\/18)\/(5\/(-15)). Let i = 44 + h. Is i equal to 22?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41458885?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 + 5*o**2 + o + 7. Let w = 89 - 104. Let l be (96\/w)\/(3 + 14\/(-5)). Let z be 4\/(-12) - l\/6. Calculate u(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o + 1. Let a be s(-1). Suppose -3*n = -a*n + 137. Suppose 0 = -3*r + 43 + n. Is r a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -128 greater than or equal to -131?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**5 + q**3 - q**3)*(-2 - 3 + 1)*(6 - 5 - 4).\nAnswer: -12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2601 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/11, -5, -4, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + 9*q - 17. Let x be b(6). Let t be x + (2 - 0)*1. Solve 2*y - 2*a = t - 9, -5*y = 4*a + 24 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**3 + 9*g**2 - 5. Let w = 5 + 4. Let k be y(w). Is k smaller than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -3*p + 13. Let w(y) = -2*y + 9. Let h(o) = -5*k(o) + 8*w(o). Let b be h(5). What is the greatest common factor of 10 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -481, -578, -685, -808, -953, -1126, -1333, -1580?\nAnswer: -1873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -83.5 times -3.518\nAnswer: 293.753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.177 - 2.823. Put c, 6, -1\/4 in increasing order.\nAnswer: c, -1\/4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -1089*t**5\/20 + 1401*t**3\/2 - 5494*t. What is the second derivative of m(j) wrt j?\nAnswer: -6534*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-28) - 96\/28. Put -153, o, 5\/3 in increasing order.\nAnswer: -153, o, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (104\/(-6) - 0)*(-54)\/(-252). Which is the third smallest value? (a) 0.4 (b) -4\/9 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/74)\/((9\/(-12))\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -7*d + 123. Let r = 110 + d. Which is smaller: -12 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -401, -4\/3, 2\/11, -0.1, -2\/7?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -20385750 divided by -44125\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 5. Let b(h) = h**3 - 3*h**2 - 4*h + 5. Let n be b(4). Let u be w(n). Suppose u = -3*z + 2*z + 18. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 12*p**3 + 7 - 8 - 3.\nAnswer: -12*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2456323997 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (282837200\/(-973))\/(2\/(-7)). What is p rounded to the nearest ten thousand?\nAnswer: 1020000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 29*m**2. Let o(v) = 126*v**2. What is q(o(j))?\nAnswer: 460404*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 + 5*j**2 + 3*j + 3. Let m(h) be the third derivative of -h**6\/60 - h**5\/10 - h**4\/8 - 2*h**3\/3 - 9*h**2. Give 3*m(r) + 4*t(r).\nAnswer: -2*r**3 + 2*r**2 + 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 14*r + 138*r - 152*r.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -2)*(-1 + 5). Let v be s\/40*-5*-2. List the prime factors of ((-135)\/6 + v)*-2.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 6 + 2)*(-a - 4*a - a) + a - 3*a + 3*a + (5 - 3 + 0)*(-2*a + 2*a + 2*a) as b*a + c and give b.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*2\/(-12)*-3. Let m be -2 - 22*1*2\/(-4). Suppose 12 = -6*s + m*s. Put v, -5, s in descending order.\nAnswer: s, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6851 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i - 7. Let d be m(10). Calculate the remainder when -7 + 17 + d\/(-1) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71060?\nAnswer: 2, 5, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 282, 2117, 5548, 10581, 17222, 25477, 35352, 46853?\n\"Answer: w**3 + 792*w**2 - 548*w + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (8\/(-2) - 0). Suppose -h*t - 316 = 2*t. Let y = t + 169. What is the remainder when y is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 3. Let b be y(0). Suppose 50*s = 51*s - 2. Suppose s*n = -2, b*n + 2 + 13 = 3*l. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*o**3 + 2*o**3 - 8*o**3)*(0*o + 0*o - 3*o) + 0*o**4 + 0*o**4 - o**4 + (3*o**2 - 6*o**2 + 0*o**2)*(-1 + 1 - o**2).\nAnswer: -37*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*y, 2*t + 0*y - 2*y - 10 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2927, 2914, 2901, 2888, 2875, 2862?\n\"Answer: -13*f + 2940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 23*d**4 + 5 - d - 20*d**4 in the form w*d**4 + j*d + b*d**3 + q + k*d**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + -1 + 7 + 5. Suppose 0 = q + 5*k - m, 3 + 8 = -5*q + 3*k. Sort q, 5, -4 in descending order.\nAnswer: 5, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from {z: 3, y: 11, o: 1}.\nAnswer: 11\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18\/(-4)*(-8 + 0). Let p = d + -20. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (0 + 20 - (-146 - -157))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208 by -5.\nAnswer: -208\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200 - -1200120?\nAnswer: 1210020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -130 (base 7) to base 8\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 46*i**4 + 16*i**2 - 18*i**2 - 47*i**4 + 31 + 9*i**3 in the form o + x*i**3 + z*i**4 + a*i + s*i**2 and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -38 - (1 + -1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31512 and 5616?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -3*q. Let p(l) = 13*l**2 - 79*l - 3. Give p(h(g)).\nAnswer: 117*g**2 + 237*g - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 250 = 5873*t - 5877*t, 6*t - 58*j + 2013 + 630 = t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 65 - 64. Which is greater: 1\/489 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of 2*o**3\/3 + 96. Let p(d) = -d**3 + 3*d**2 + 6*d - 1. Let h be p(3). Let y(g) = 0 + 15*g - h*g + 0. Give y(c(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 0*c - 3385. Find the common denominator of -4 - (67\/(-12) - 0) and c\/90 + (-14)\/63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27739220 divided by -2245?\nAnswer: -12356","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**3 + o**3 + 19*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/8137 and 7\/3.\nAnswer: 24411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*c - 4*s - s = 3258, 46*c - 86 = 50*c - 2*s for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, c: 1, z: 2, h: 1, s: 2, e: 1}. What is prob of picking 1 k, 1 e, 1 c, and 1 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.0151*-37.4\nAnswer: 0.56474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 + f**3 - 2*f**3)*(0*f + f + f) + (6 - 4 - 3)*(13*f**4 + 4*f**4 - 2*f**4).\nAnswer: -13*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -92*a + 38. Let p be q(2). Let o = p - -149. Let r be (-3)\/9 + 2\/(-3). Sort r, o, 2\/9.\nAnswer: r, 2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8368, 8357, 8340, 8317, 8288?\nAnswer: 8253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1819*i. Let b(z) = 6*z - 627. Determine b(f(c)).\nAnswer: -10914*c - 627","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -154.9 + 154. Let p = d + -0.1. Which is the second biggest value? (a) 0 (b) -5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 11745 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x + 1. Let f(t) = -3*t**2 - 4*t + 4. Let g(v) = f(v) - 4*j(v). Suppose -8 + 2 = -2*i. Let k(n) = -7*n + 6*n + i*n. Give g(k(d)).\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 291413 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 5*p = -11, 0 = -3104*o + 3098*o + 4*p + 22 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 69, 163, 295, 465, 673?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 2. Let c be ((-30)\/(-4) - 0)*-2. Let t = -19 - c. What is the units digit of h(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -76814 - -5212?\nAnswer: -71602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(343)*-1))\/((2*sqrt(70))\/sqrt(7) - 5*sqrt(160)).\nAnswer: sqrt(2)\/126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as 3\/56311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, r: 1, q: 14}. Give prob of sequence rqm.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 72, 114, 156, 198, 240?\n\"Answer: 42*o + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 6*t = -68, 0 = 17065*q - 17062*q - 3*t + 36 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 4. Let m be (2 - 9\/h) + -3. Solve -1 = m*z - 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 239676647 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-10)*0\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310 and 1426.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m + 13. Let u(n) = -22*n - 1. Determine o(u(s)).\nAnswer: 88*s + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(112) - (sqrt(112) + 2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*t - 0 - 44 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5208 - -5228. Solve b = 2237*p - 2242*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, r: 2}. Give prob of sequence irir.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-90)*580\/116.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 6*m**2 - 4*m + 5. Let z be i(-5). Suppose z = d - 4*f - 9542, d + 3*f = f + 9524. What is d rounded to the nearest one thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-2\/23))**(2\/13))**(-1\/25))**(-2\/59) assuming x is positive.\nAnswer: x**(-8\/441025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*j**2 + 12*j**5 - j**2 - 18*j**5 + 7*j**5 wrt j.\nAnswer: 60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**5 + 21956*f**4 + 30118140*f**3 - 30140100*f**2.\nAnswer: 4*f**2*(f - 1)*(f + 2745)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9610 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1028.\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 2*k - 1. Let b be f(-5). Let l(m) = -m**2 + 20*m + 9. Is l(b) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 = 14*i - 19*i. Suppose -5*o - 2 = p, 0 = -0*o + 5*o - 3*p - 6. Suppose o = 4*a - 2*y - i, -a - 3*y - 2 = 2*y. Are 3 and a nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1.49, 5 in ascending order.\nAnswer: -1.49, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1834018 is divided by 611299?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q - 2*q + 7*q - 4*q - 7*q + 4*q.\nAnswer: 25*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 631 + -581. Solve 4*b - m = -46 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 60 = 4*i. Suppose -27 = -5*w + 4*v, 0 = -0*w + 4*w - v - i. Suppose 7*r = 2*r + 3*l + 22, 0 = 4*r + 2*l. Solve -w = r*a + 7 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) 0.04 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7546 is divided by 567.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1035966?\nAnswer: 2, 3, 23, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39174568?\nAnswer: 2, 4896821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**3 + 6*m**2 + 3*m - 5. Let f(q) = -6*q**3 - 6*q**2 - 3*q + 6. Let r(g) = -4*f(g) - 5*p(g). Determine r(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, -1, 76, 352 in descending order.\nAnswer: 352, 132, 76, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23 - (3 + (8 - 27))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from caaccaacaccc. Give prob of sequence accc.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x**2 + 3*x**2 + 8*x**2)*(-13*x**2 + 26*x**2 - 12*x - 10*x**2) to q*x + r*x**4 + b + d*x**2 + f*x**3 and give f.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -398\/55 + 106\/11. Let u*b**2 + 3\/5*b**3 + 9\/5*b + 0 = 0. Calculate b.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/1346 or -1?\nAnswer: 1\/1346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*n - 2*n + n + (-2 + 0 + 1)*(47 - 47 + 13*n) to c*n + f and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 3599.\nAnswer: 32391","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/(2\/18). Suppose 67 = i*q - 11. Is 20 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 991 = 3*f. Let n = -1558\/5 - f. Is -3 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.551876121 rounded to 3 dps?\nAnswer: 4.552","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4*x = 67, 39 = 3*w + x - 74. Solve 47 - w = -12*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*q = -625*q - 70 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2\/7, -3, 4 in descending order.\nAnswer: 4, 2\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23832644?\nAnswer: 2, 11, 41, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + 42 + (-6)\/(6\/2). List the prime factors of a - -5*8\/(-20).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27 - -33. Let g(d) = -d + 10. Let c be g(h). Let u be (3\/(-6))\/(1\/8). Sort c, u, -1.\nAnswer: u, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 8*u**2 - 50*u - 53. Determine j(-14).\nAnswer: -529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = 9, -3*l - 2*p + 36 = -6*p. Solve 0*n - 2 = f - n, 0 = 4*n - l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-162)\/432)\/((-990)\/2400)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2106391 is divided by 18?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/(-48))\/((-36)\/48)*(-6 - -8).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 6*q - 12. Let j be x(5). Let c = -7 - j. Suppose 0 = -3*r + 3*w - 8*w + 6070, c = -5*r - 5*w + 10130. Round r to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*s + 0 + 0)*(3 - 3 + 3*s)*(5 + 0 - 2) to g + a*s + b*s**2 and give b.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from wbbbbdbbdzbbwbbbbwbd.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 38*o - 131*l + 129*l + 234, 685 = -12*o + 15*o + 17*l for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.02 (b) -3\/2 (c) -0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.715 (b) 1\/5 (c) 1\/8 (d) 14 (e) -104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 132 = -4*n, -3*b + 223 = -5*n + 6*n. Suppose 5*z - 4 = b. Let m = 10 - 6. Solve m*w + 0*w = -z for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -145, -484, -1215, -2536, -4645?\n\"Answer: -33*s**3 + 2*s**2 - 114*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 7*i**2 + 34*i + 5. Give q(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003885201 to 5 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 0.386. Let u = s + -0.01459. Round u to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 1001098?\nAnswer: -300329.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -188 - 184 + 565 + 5*t**3 - 193.\nAnswer: 5*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w - 36 - 35 + 99 - 30. Calculate p(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-6 - ((-77)\/21 - 3))*24861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/1 + -1 + 12. Let r = i + -3. Find the second derivative of -9*m + 2*m**r + 2*m + 3*m wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 52 - 4*z + 18*z - 15*z in the form k + m*z and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (17\/(-7) + 2)\/((-72500)\/400 - -182)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3835442 and 242.\nAnswer: -928176964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 18. Let w be -2 + c - -4 - -1. Solve -13 + 8 = w*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01985 + 0.019884372. What is j rounded to 6 decimal places?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1421, -2836, -4239, -5624, -6985, -8316, -9611?\n\"Answer: j**3 - 1422*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*(0 + (sqrt(180) + (sqrt(180)*2 + 0 - sqrt(180)) + sqrt(180) + -1*sqrt(180)*-3 + -1)**2).\nAnswer: -864*sqrt(5) + 77772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 + 5*o - 4. Let h be (-9)\/6*(-8)\/(-3). Suppose 25*z = 599 - 172 - 202. What is the remainder when l(h) is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113161387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*((k**(2\/31)*k*k)\/k)\/k)\/k)\/k*k**(-5\/6)\/k*k**0\/(k**6\/k))**(7\/5))**(-1\/7) assuming k is positive.\nAnswer: k**(289\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -9*r**2 - 64*r - 4. Let x be o(-7). Does 3 divide (153\/(-102))\/((-1)\/(74\/x))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -401 + -806. Which is smaller: -0.1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4 = 4*h, -h + 10 = -2*h + 3*c. Let t(u) = 5*u**2 + u**2 - 4*u**2 + 2 - 2*u - 2*u. What is t(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 7 - -3 - 31\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*b - 4 + 3 = 0, 4*b = 4*u. Let p(t) = -2*t**3 - 4*t + 5 - 4*t**2 - 6 - u. Let w(s) = 2*s**3 + 3*s**2 + 3*s + 1. Calculate -3*p(a) - 4*w(a).\nAnswer: -2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 4*p - 9, 4*g - 3 = -3*p + 29. Suppose 3*k + 7 + 19 = g*t, -2*t = -8. Which is the nearest to k? (a) 0.8 (b) 3\/4 (c) 1 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 317.6 - 351. Let g = w + 33. What is the biggest value in -0.3, g, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -687.5 + 688. Put d, -2\/15, -0.5, 2\/7, 0.23 in descending order.\nAnswer: d, 2\/7, 0.23, -2\/15, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 905378?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6578 (base 13) to base 15.\nAnswer: -42bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, e: 5, j: 1, o: 3}. Give prob of sequence oo.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c = -18. Let b = 105 - 82. What is the remainder when b is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 13*k**2 - 69*k + 3. What is g(7)?\nAnswer: 157","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.2 - 1.01. Let m = x - 0.1903. What is m rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3395 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-9) - 22\/18. Let s = 0.5 + 4.5. Which is the nearest to h? (a) s (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(684) + sqrt(684) + sqrt(209)\/(-2*sqrt(11)) + -1)**2.\nAnswer: -23*sqrt(19) + 10055\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - -8) + (-5 - 9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 5 + -14 + 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4413 and 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + z - 18 = -4*l, -3*z - 15 = 0. Let m be 3 - 2\/l - -1. Let k = -107 + 111. Solve k*f + m = -13 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -3 (c) 0.6 (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-9)\/(-60) + (-10)\/(-100))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = 6*d. Suppose -o - 4*o + 110 = d. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1705 is divided by 566.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 + 3114*o**3 - 37 + 77 as p*o**3 + g + v*o + m*o**2 and give p.\nAnswer: 3114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 134970110 rounded to the nearest 1000000?\nAnswer: 135000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*h - 4*h - 1854 = 38*h for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 41.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 38 = -b, -b = -3*n + 17 + 89. Suppose 0 = 5*g + 4*g - n. Let k(p) = -g*p - 2*p + 4*p. Let o(z) = 24*z**2. What is o(k(x))?\nAnswer: 96*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*x - 21133 = -110*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 + -28. Suppose 0 = 7*k - 3*k + 4. Let o(t) = t**3 - t - 1. Let u be o(k). Sort -2, u, y in ascending order.\nAnswer: -2, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/6)\/(1\/(-3)). Let u be (6\/4*-1)\/(16\/(-32)). Suppose -u*y + 5200 = -p*y. What is y rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (258\/4)\/((-54)\/(-108)) is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nv when two letters picked without replacement from {l: 1, v: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 8*w - 160. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**5 - 31*t**4 + 2936*t**2 + 2075684*t wrt t?\nAnswer: 60*t**3 - 372*t**2 + 5872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/592120 and 43\/24860.\nAnswer: 6513320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**2 + d**2 - d**2 - 4*d**2.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 195458572 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -1.5, -2\/5, 2, 3\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 286.97 * -450\nAnswer: -129136.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2163 + -1523. Does 32 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 times -81.14\nAnswer: 243.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -84618.1 and -4.\nAnswer: 338472.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2326 divided by 195?\nAnswer: 2326\/195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9459041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -374*a + 396*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49\/2 - -24. Which is the closest to 1\/4? (a) h (b) -5 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 + -8. Let z(p) = -p**3 - 5*p**2 - 5*p. What is z(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mz when two letters picked without replacement from {e: 2, o: 2, n: 3, x: 8, m: 1, z: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4051059 = -250*x + 273*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -6*d - 1. Let y = 344 - 340. Calculate m(y).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y**2 + 0*y**2 + y**2)*(0 + 1 + 1) - y**2 - 8 + 550*y - 550*y to s*y**2 + p*y + g and give g.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -2*sqrt(539) + sqrt(539) - (sqrt(539) + 0 - sqrt(539))**2*-4.\nAnswer: -7*sqrt(11) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48977?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 636400 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3056035?\nAnswer: 5, 611207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(11) + (0 + sqrt(11))**2 + sqrt(11) + 5.\nAnswer: 2*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k - 2106 = -35*k + 16*k. Suppose 0*q - 22 = -2*q. Suppose x - q = 2*u + 1, 0 = -4*u + 4. Calculate the remainder when k is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -12*q. Let t(k) = -502*k + 12. Let g(d) = 31*d - 1. Let s(m) = 12*g(m) + t(m). What is s(f(w))?\nAnswer: 1560*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 7*i + 5. Suppose 2*r = -r - 18. Let t be d(r). Let g be t*1*(-6 + 6). Solve 11 = 2*o - 5*j, g*o + j = -3*o - 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 - -0.37. Let l = 53.7 + -220.5. Let z = l + 167. Sort 0.33, z, g.\nAnswer: z, g, 0.33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 2\/9, -2\/7, -0.11, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2712 + 2712. Put -19, z, -4, -1, -8 in decreasing order.\nAnswer: z, -1, -4, -8, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78179.93 kilograms to nanograms.\nAnswer: 78179930000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from lllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 13280316 divided by -28\nAnswer: -474297","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 22 = 5*u. Suppose b = 4*b - u. Suppose 0 = -p - r - 10, 0*r + 4*r + 20 = 0. Put b, p, 2 in increasing order.\nAnswer: p, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2750.89 rounded to the nearest ten?\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -361\/19746 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 x when two letters picked without replacement from {i: 4, x: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1914*l - 1176 = -1019*l - 979*l for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 5*l - 6, 4 = o - 0*o. Suppose -4*j - 16 = -l*p, -2*p + 14 = -p + 4*j. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/10)\/((96\/(-80))\/3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 g when two letters picked without replacement from {i: 5, n: 1, k: 1, g: 4}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 3*c - 19, -4*b - 36 = -4*c - 0*b. Suppose c*s - 105 = 80. Is 37 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 h when two letters picked without replacement from hahhaahhahhhhhahhhh.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 687a (base 12) in base 2?\nAnswer: 10110101011110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 7 - 3 + 14*y.\nAnswer: 14*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -303 - -304. Which is the fourth biggest value? (a) o (b) 5\/3 (c) 0.058 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.08 and 997222.06118?\nAnswer: 997221.98118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48895*h - 48891*h + 13*b - 43 = 0, b = -h + 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.69959 + 1.7. Round h to four decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 4*r**2 - 681*r + 7344. Determine y(158).\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-1) + -3 + 2. Suppose 5*f = -12*h + 17*h - 5, 2*h = 5*f + 2. Solve 5*i + h - 6 = t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -1. Let c(g) = -3*g + 6. Let w(k) = c(k) + 6*q(k). Let h(z) = -z**2 + 2. Let p be h(0). Let r(f) = -6*f**2 - 2*f**p + 7*f**2. Give w(r(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/9 + 244*f + 1449536\/9.\nAnswer: -2*(f - 1562)*(f + 464)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 + -56 - (-25 + 11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + 0 + (-13)\/(23205\/(-161436)). Let u = 640\/7 - y. Is 0 >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 132 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2365, -4736, -7107, -9478, -11849, -14220?\n\"Answer: -2371*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 801 = 5*q + 2*z + 793, q - 5*z = 34. Let n(f) be the first derivative of 25 + 1\/22*f**q + 2\/11*f**3 + 10\/11*f - 9\/11*f**2. Factor n(d).\nAnswer: 2*(d - 1)**2*(d + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 14*o - 37. Let t be n(3). Suppose t*z - 6 = 3*c, 4*z + 15 - 5 = -5*c. Let s be (-10)\/(-3) + 17 + -19. What is the smallest value in -5, c, s, -1\/2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.3 and -11.\nAnswer: 25.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/7)\/(2\/(-224)). Let h = j - 56. Is 15 a factor of 552\/10 - 8\/h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y - 322 = -0*y. Suppose -3*w = -t - y, w - 13 = 5*t + 7. What are the prime factors of (5\/w)\/(2\/(-334))*-3?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/174 and 155\/28321284.\nAnswer: 28321284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -168*-54092\nAnswer: 9087456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 35741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c**2 - 6*c + 6*c)*(-126*c - 180*c - 87*c).\nAnswer: -2751*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 6 = 2. Solve b + 1 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -95249751, 1 in descending order.\nAnswer: 3, 1, -95249751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 7. Let g be q(-5). Let i = 800\/3519 + -2\/391. Factor -i*x**g + 4\/9 + 2\/9*x.\nAnswer: -2*(x - 2)*(x + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-255)*(-3)\/(72\/80)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35.199 or 1\/29?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1919538 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -29 (b) -10 (c) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17377 + 1401?\nAnswer: 18778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2577590 divided by -5.\nAnswer: -515518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.11 - 0.11. What is the closest to 4 in c, -4, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1078.95 + -1098. What is h rounded to the nearest integer?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -668, -1929, -4032, -6977, -10764, -15393, -20864?\nAnswer: -27177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 1. Let x(k) = -3*k**2 - 2*k + 11. What is x(b) - 4*y(b)?\nAnswer: b**2 - 2*b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -19482 and 0.4.\nAnswer: -7792.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -10 + 2\/3*p**3 + 0*p + 0*p**2. Let s(z) = 19*z - 16*z - 34*z. Determine s(i(c)).\nAnswer: -62*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - h + 1. Let j(p) = 4*p**3 + 2*p**2 + 2*p - 2. Suppose -4 = -w - 2. Let o be (-5 - (-2 + 0)) + w. Give o*j(v) - 2*i(v).\nAnswer: -2*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 11 = 4*g - 19, -5*p = 4*g - 7 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 2*v**3 + 9 - 22 + 10*v**2 - 6*v - 12*v**2 as q*v + h*v**3 + o*v**2 + k and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -5\/9493272 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12234042 (base 5) in base 7?\nAnswer: 1001042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (39 - 17) - (-3 - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2) + -2)*2)**2.\nAnswer: -8*sqrt(2) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -992066, -3968138, -8928216, -15872300?\n\"Answer: -992003*t**2 - 63*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**5 + 5188833*k**2 - 152955121*k?\nAnswer: 20*k**3 + 10377666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 230014579 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3033807705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.4*276.\nAnswer: 2594.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 0.2, 76, 3, 30\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -9*q**2 + 4*q + 102. Let y(k) = -8*k**2 + 5*k + 103. Let w(x) = -5*v(x) + 4*y(x). Differentiate w(p) with respect to p.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 0*q + 4*q)*(-5 + 5 - 9)*(0 + 3 - 4)*(1 + 1 + 1).\nAnswer: -27*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3838.2548 + 3839. Round l to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 2 (c) 105 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -9587 times -0.1?\nAnswer: 958.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/i*i)**(-5)\/(i\/i**(2\/5))**(-32\/3) assuming i is positive.\nAnswer: i**(-43\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 4)*(-2 + 4 + 3) + 2 - 2 + 3 - 4 + 3 + 2)*(r + 0*r - 3*r).\nAnswer: -28*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 669548?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 459 + -444. Let q(t) = 16 - 3*t + k*t + 4*t - 25 + 6*t. Let o(x) = -11*x + 5. Determine -5*o(f) - 3*q(f).\nAnswer: -11*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 498 * -1\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (1 - 0) + (-1 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11 + 8*g**2 - 8 + g - 3 wrt g?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0*d)**(-38\/7) assuming d is positive.\nAnswer: d**(-38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -366*(-15 + -3 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -3*u - 5*i + 342, -4*i = u - 110. Is u a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/15)\/((1940\/(-200))\/97)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 13756745 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 67 - (-3 + 1 - 3\/(-3)). Let x = f - 64. Let y(n) = -n**3 - 1. Let q(t) = -5*t**3 + 5*t**2 - 2*t - 9. Let u(i) = -q(i) + 4*y(i). Give u(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 - -0.5. Let z = 33.6 + -30. Let o = 3.8 - z. Which is the third smallest value? (a) -2\/7 (b) o (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6952 or 6961?\nAnswer: 6952","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -5, 3, -2\/11.\nAnswer: -5, -2\/5, -2\/11, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 152689242 - 2?\nAnswer: 152689240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (16\/5)\/((-8)\/(-20)). Let i = -10 + o. What are the prime factors of i\/2 + (-16)\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1050.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/220 and 57\/4163126?\nAnswer: 41631260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 6\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (49\/8)\/((-5*(-7)\/(-700))\/((-96)\/240))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5.333 + -0.033. Let g = 5 - x. Which is greater: 1\/3 or g?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1\/2 - -2\/3. Let v(f) = -3*f - 5. Let n(w) = -w - 2. Let a(r) = -8*n(r) + 3*v(r). Let c be a(0). Which is bigger: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*b - 235 - 370 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i**2 - 13*i - 2. Suppose -2 = 5*w + 17*m - 15*m, 5*m = 5*w - 40. Let r(h) = -10*h**2 + 64*h + 11. What is w*r(a) + 11*d(a)?\nAnswer: 2*a**2 - 15*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -545 from -1.\nAnswer: 544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q. Let d(x) = 155*x**2 + 4*x. Determine r(d(k)).\nAnswer: -155*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*o - 8698 + 410 = 0. What is the greatest common factor of 32 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -51028244.6 to the nearest 1000000.\nAnswer: -51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.2 - 1.52. Let l = 0.278 + c. Round l to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 15 and 109422?\nAnswer: 547110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k = 8. Suppose -12 = -k*w - 2*w. What is the greatest common divisor of 24 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - -12.2. What is the second smallest value in 0, a, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-2\/9)\/t**(-1\/6)*((t\/(t\/(t*t*t**10*t)))\/t)\/t**2 assuming t is positive.\nAnswer: t**(179\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 76461, 153027, 229593?\n\"Answer: 76566*u - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is (464\/203)\/(16\/728*13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 1}. What is prob of sequence os?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4*o**5\/5 - 42*o**4\/5 - 32*o**3 - 54*o**2 - 196*o\/5 - 48\/5 = 0.\nAnswer: -4, -3, -2, -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17493177859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1845138 (base 9) to base 12.\nAnswer: 41a352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 31640850937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6359 + -57232\/9. Let f be 2\/(-7) - (-60)\/14. Suppose f*b - 16 = -0. What is the nearest to -1\/2 in 17, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.3 + 11.1. Let c = 8 - d. Let b = c - -0.79. Put 1, b, -4 in descending order.\nAnswer: 1, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 a factor of 1946727885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1899115916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w**2 - 45 - 45 + 88 to d*w + r*w**2 + m and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6 - 0. Suppose y*j = -0*j + 8. Suppose -2*i - 5 = -j*w - 1, 8 = -5*w - 4*i. Are 1\/3 and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001079146871 rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -35. Let o = x + 27. Suppose -2*b - b + 4*l - 6 = 0, 4*l = b + o. Sort -5, b, -4 in decreasing order.\nAnswer: b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fkrrrffrfrfrfzfrpkr. What is prob of sequence kk?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12.6 - -14. Let f = 50\/281 + -481\/1124. Which is the closest to 1? (a) f (b) -1\/3 (c) -1 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 532265 (base 7) in base 13?\nAnswer: 32ba3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135484965 and 330.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13115.9999993529 - 13116. What is u rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-3)\/1)*-9. Suppose 5*y = -5*q + 10, y + h*y = -2*q + 12. Solve 3*w = -4*c - 3, 2*w + y*c = 3*c + 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lyxy when four letters picked without replacement from lyxqyjyyx?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38178119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -2)*(-2)\/(-2). Solve -k + 3*k = t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*q + 22 - 22)*(2 - 2 - 2*q) + (-2*q + 2 - 2)*(2 + 2*q - 2))*((-q - 2 + 2)*(2 + 0 - 1) + (1537 - 703 - 743)*(-q + 0*q - q)).\nAnswer: -732*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 8*w - 21. Let o be s(10). Which is the closest to 1? (a) 4 (b) o (c) 2.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.9, 0.5, 4 in ascending order.\nAnswer: -2.9, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 291*u + 285*u - 575*u + 6.\nAnswer: u + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let u(z) = 47 + z - 47 + 2*z**2. What is u(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 9:04 PM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -26\/27, -30.1, -2, -3\/11?\nAnswer: -30.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of -763*j**4\/4 - 1338*j + 2. What is the derivative of x(w) wrt w?\nAnswer: -2289*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 12 - 2 = -4*q, 3*q - 2 = -5*m. Suppose -4*t - 7 - 11 = -3*h, 0 = -2*h + q*t + 12. Solve h*p - 3*p = -9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*n + 48 + 6 = 0. Let v(j) = -11*j**2 + 3*j. Let p(o) = 22*o**2 - 7*o. Let k(m) = n*p(m) + 7*v(m). Let u(z) = 7*z. Calculate k(u(x)).\nAnswer: -539*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 177 and 1947?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*z + 371 = -4*s - 140*z, -89 = s - 3*z. Put -28, -3, s in descending order.\nAnswer: -3, -28, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 268?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0127973117 to 5 decimal places.\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71563 to the power of 1\/3, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -3*j**7\/14 - 2*j**6\/5 + 3*j**5\/10 + j**4 + j**3\/2 - 9*j. Solve z(c) = 0 for c.\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s**3 - s**2 + s + 1. Suppose 0 = 3*n - 1 + 4. Let c be w(n). Let y be (c + -1)*(-5)\/(-15). Which is smaller: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**2 - 4*l - l + 2*l wrt l.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43.5 + 17505?\nAnswer: 17548.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 290\/(-60)*61\/(-98). Let i = u - -20\/49. Calculate the common denominator of i and -137\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7)\/14*144\/12 - -6*1. Solve -154*l + 156*l + 10 = w for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -4*j**2 + 11*j - 19. Let u(d) = -3*d**2 + 11*d - 19. Let i(w) = -2*h(w) + 3*u(w). Let r be i(6). Is -0.3 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 14 = -2*w, 5*w = -3*p + 7*p + 35. Suppose 4 - 1 = w*b. Suppose -3*q = -5*i + 12, -2*q + 4*i - 4 = 4. Put b, q, 7 in increasing order.\nAnswer: q, b, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:35 AM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(0 + (sqrt(425) - (sqrt(425) + 2 + sqrt(425)))**2 + (-1*sqrt(425) - sqrt(425))**2*3).\nAnswer: -27646 - 100*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 84 = -3*p, 0*q + 420 = 5*q - 5*p. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 n when two letters picked without replacement from vnvnnunu.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 PM and 10:46 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -402 - -660 - (3 - -125)?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 22*w - 724*w - 9152 for w.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2502 and 12?\nAnswer: 5004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m + 6. Let f be l(-4). Suppose 12 - f = 5*t. Let y be 6\/8 - (-15)\/(-20). Put t, -4, 1, y in descending order.\nAnswer: t, 1, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-66)\/(-198))\/((3\/513)\/((-10)\/132)) and 63\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 14*k + 27 = p, 0 = 4*k - p - 21. Suppose -16 = -5*o + 4. Suppose -2*b = 2*r, 3*r - o*b - 21 = 7. What is the highest common factor of r and k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z**3 + 51*z**2 - 302*z + 10. Suppose 22 = -16*b + 6. Let n(l) = -l + 2. Let q(r) = b*w(r) + 5*n(r). Find the second derivative of q(y) wrt y.\nAnswer: 12*y - 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -17*w**5 + 189*w**4 - 22*w**3.\nAnswer: -w**3*(w - 11)*(17*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7929.2 + 7929. What is the biggest value in -1\/3, -2\/13, z, -390?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/32))**(-7)*(l\/(l\/l**(-1\/3)))\/(l*(l**6*l)\/l) assuming l is positive.\nAnswer: l**(-725\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes after 1:05 PM?\nAnswer: 9:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 39 = 27. Suppose -5*z = -z + 4*f + 28, -u*z - 18 = 2*f. Let l = 2 + -2.5. Which is the closest to -0.1? (a) -1\/10 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 28 = -4. Determine d so that 6*d**2 + 11*d**4 + 8*d - 6*d**5 - 25*d**4 - 4*d - z*d**3 = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -389017*a**3\/7 + 879285*a**2\/7 - 662475*a\/7 + 166375\/7.\nAnswer: -(73*a - 55)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 73252, 138963, 204674, 270385, 336096, 401807?\n\"Answer: 65711*z + 7541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + m - 7. Let j(z) = 1. Let u(t) = 6*j(t) + y(t). Let x be u(-3). Suppose 3*p = -x*b + 16, 2*b = 5*p - 1 - 5. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -z**2\/2 + 8*z - 859. Let q(p) = 2*p**2 + 31*p. Determine i(q(o)).\nAnswer: -2*o**2 - 31*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**2 - 2*m - 4. Let o(t) = -2*t**2 - t - 3. Calculate 5*o(n) - 4*p(n).\nAnswer: 2*n**2 + 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2. Let n(l) be the second derivative of -11*l**4\/12 - l**3 + 1218*l. What is w(n(o))?\nAnswer: 242*o**4 + 264*o**3 + 72*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 186a1 (base 12) to base 2\nAnswer: 1000101011011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5 - 6750*g**4 + 27030*g**3 - 6770*g**2 - 40548*g = 0. Calculate g.\nAnswer: -3379, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uttu when four letters picked without replacement from {t: 3, u: 9}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/((-8)\/12))\/(3\/(-30)). List the prime factors of ((-1)\/3)\/(z\/(-10035)).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7787270 rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 102766297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1 + (-2 - 1 + 4)*(7 + 23 + 12))*(2*d - 3*d + 3 - 7).\nAnswer: -43*d - 172","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1423, -1489, -1673, -2035, -2635, -3533, -4789?\n\"Answer: -10*j**3 + j**2 + j - 1415","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*t*x**4 - t*x**2 + t - 96*x**5 - 15*x**2 wrt x?\nAnswer: -48*t*x - 5760*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -52.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -4, 5, 0.4, 7, -22 in descending order.\nAnswer: 7, 5, 0.4, -4, -15, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, s: 5}. What is prob of sequence sjjs?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.1853 - 0.1142. Let k = -0.0541 + n. Is k != 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239, 407, 487, 485, 407?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3)*x)\/((x*x**(-1\/5)*x)\/x)*x\/(x\/x**8)*(x**(-8)*x*x*x)\/x*(x**(-2\/9))**50*x**(1\/10)*x\/x**3 assuming x is positive.\nAnswer: x**(-1243\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + x - 19 = -8 + 48, 0 = 5*p + x - 32 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181662 + 43938 = 1600*t for t.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.1 (b) 3 (c) 1 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -7*w + 1. Suppose 15 + 3 = j. Suppose -5*q + j = -3*c, 0*q = c - 5*q + 16. What is i(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -859?\nAnswer: -4295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 783 - 782. Which is smaller: y or 61\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.2 + -1.2. Let q = 2\/19 - -24\/133. What is the nearest to q in -0.8, l, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*n = -8, 4*a - 11*n + 3*n + 5*n - 43 = 0 for a.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28503*c**2 - 10209*c wrt c?\nAnswer: -57006","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 4 - 1)*(-2*o**5 + 4*o**5 + 6*o**5) - 4*o - 2*o**5 + 4*o)*(-1 + 0 - 1).\nAnswer: -28*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 648 and 22.\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2452240 and 95130.\nAnswer: 22070160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-156)\/(-27) - -2*(-2)\/(-18). What is the third derivative of -89*d**5 + 75*d**5 - a*d**2 + 25*d**2 wrt d?\nAnswer: -840*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6824 (b) -0.3 (c) -0.38 (d) 1 (e) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**3\/2 + 7*c**2\/2 + c. Suppose -13*k - 171 = -22*k. Let f(w) = -8 - k*w**2 + 43*w**2 + 8 - 23*w**2. Calculate i(f(n)).\nAnswer: 3*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 - -30 - (-46 - -5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1637 - 1633. Suppose 3*h - h + 14 = 0. Put -1, b, h in descending order.\nAnswer: b, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2. Let c be 5 - (2 + (-3 - -3)). Suppose -4*u = -u - c. Let f(g) = -u + g + 3*g + 1. Determine f(i(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 91991.76 weeks?\nAnswer: 55636616448000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*z + 17602 - 15874 = 0 for z.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 114\/(-9) - 2\/(-3). Let k be 112\/v*(0 - 3). Suppose -8 = -3*r + k. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -104, -218, -340, -470, -608, -754, -908?\n\"Answer: -4*m**2 - 102*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 248 * -12\nAnswer: -2976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 4893*r + 30 = 4894*r, -10 = -5*b + 3*r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 - k - 3. Let r(z) = -7*z - z**2 - 6*z + 1 + 7*z + 2*z**2. Let x(i) = -i**2 + 7*i - 2. Let s(u) = -6*r(u) - 5*x(u). What is 4*c(j) + 3*s(j)?\nAnswer: j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times -1.8?\nAnswer: -0.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -26431 + -2888?\nAnswer: -30430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10453104300 rounded to the nearest 1000000?\nAnswer: 10453000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -18*c - 15. Calculate the remainder when v(-7) is divided by 38.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i**2 + i + 2. Suppose s - 2*s + 5 = 0. Let h(t) = t**2 + 1. Let l(a) = s*h(a) - u(a). Give l(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -29 + 30. Which is the closest to y? (a) 0.5 (b) 49 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21945 and 269766.\nAnswer: 281905470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -9 + 5 + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 27 = 4*c - 2, z - 5 = -2*c. Suppose c = -2*i - 3*b + 84 + 149, 2*b + 2 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 0.1. Let p = 2\/171 - 59\/171. Let l = -6 - -3. Which is the third biggest value? (a) l (b) r (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 + -384. Let t = 372 + i. What is the remainder when t is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d - 20 = 0. Suppose 5*s = 3*j - 34, 2*s - d = -3*s. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(5) + -4*sqrt(30)\/sqrt(6)) + 1*(sqrt(35)*4)\/sqrt(7))*2.\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -2*h**6\/15 - 61*h**5\/5 - 371*h**4 - 3618*h**3 - 8748*h**2 - 2058*h - 2. Suppose z(n) = 0. Calculate n.\nAnswer: -27, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15429 is divided by 374.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -4*m + 1 + 0 + 0*m + m. Let c be f(-2). Solve 3*o - 5 = c for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 407915575, 815831154, 1223746735, 1631662318, 2039577903, 2447493490?\nAnswer: 2855409079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**7\/504 - h**6\/64 + h**5\/48 - h**4\/2 - h - 20. Let z(n) be the third derivative of o(n). Find q, given that z(q) = 0.\nAnswer: 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72614 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*q + 1481 = -41, 2*q = -5*r + 2554. Suppose 15*v + r = 32*v. What is the remainder when 47 + 3 + -1 + 2 is divided by v?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c - c + 0*c)*(0 - 1 + 0) + 11*c - 25 + 25 - 20*c + 13*c - 13*c + (-c - 2 + 2)*(2 - 5 + 1).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 62672807 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**3 - 2*t**2 + 3*t + 3. Let c be d(-2). Suppose -k + f + 2 = 0, 5*f - 8 - 2 = -c*k. Solve l = 2*p - k, -5*l + 16 = -4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/5 + 1017*m**2\/5 - 3024*m\/5.\nAnswer: -3*m*(m - 336)*(m - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 12*i**2 + 27*i + 13. What is h(-11)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 8*s + 5. Calculate the smallest common multiple of 1 and z(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1833078088.\nAnswer: 2, 101, 557, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4035802?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1287 - -2\nAnswer: -1285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4901, -1\/10, 398, 5 in increasing order.\nAnswer: -4901, -1\/10, 5, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*j = -21*j + 62 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 - 4*o - 42. Does 2 divide a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156*f**2 - 7*f - 159*f**2 + 517*f.\nAnswer: -3*f**2 + 510*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2\/(-4))\/((-1)\/6). Let o(b) = 8*b**2 - 9*b**3 + 25 + 3*b**i - 25. Let j(n) = 2*n**3 - 3*n**2. Let r = -27 - -35. Determine r*j(g) + 3*o(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3544?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-649)\/(-11))\/(-1*1). Let m be 3\/2 + k\/2. Let i be 0\/m + (-4580002)\/(-2) + -1. Round i to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -4*c**2 - 2*c. Let z(g) be the first derivative of 0*g - 1\/2*g**2 - 36. What is z(t(r))?\nAnswer: 4*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1595185179?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from {k: 18, p: 2}.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -4*i**2 - 5*i - 1\/3*i**3 + 2. Let a be r(-7). Put -7, -5, a in decreasing order.\nAnswer: a, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 929\/6 - 607\/4. Let i = 47386\/11 - 4305. What is the common denominator of i and m?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -6*p**3 + 8*p**2 - 7*p - 2. Let u(f) = 7*f**3 - 7*f**2 + 6*f + 1. Let i(c) = -6*o(c) - 5*u(c). Let q be i(12). Suppose q*y = 2*y + 1515. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/13)\/y**6)**(18\/5)*((y\/(y**2\/y))\/(y\/y**6*y))\/(y**0)**43 assuming y is positive.\nAnswer: y**(-1108\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3596)\/1860*(-1170)\/10179.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**4 - 118*o**3 + 366*o**2 - 370*o + 124.\nAnswer: -2*(o - 1)**3*(o + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 + 38359*h + 59 - 9584*h - 9598*h - 9586*h - 9591*h.\nAnswer: 4*h**2 + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -126 + 233. Suppose 140 = 4*w - 4*m, m + 4*m + f = 3*w. List the prime factors of w.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 785430994 to the power of 1\/3, to the nearest integer?\nAnswer: 923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -4664 <= 0.156?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 1016 = -5*n, -36 = -2*n - 4*q + 366. Suppose -385 = -12*k + n. What is the remainder when 142 is divided by k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9280 by -116.\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u - 2. Suppose 2*o - 4*o - 3*p = 53, -5*p - 6 = -o. Let t = o - -25. What is the smallest common multiple of i(6) and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**3 + 2*n**2 + 3. Let b(s) = 11*s**3 - 5*s**2 - 7. Let u = 21 - 14. What is u*h(a) + 3*b(a)?\nAnswer: -2*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 158 + 10*l + 9*l - 840 - 620 - 21*l as j*l + y and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.18069 meters in nanometers?\nAnswer: 81180690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 452651?\nAnswer: 163, 2777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2718 and 0.4.\nAnswer: 0.10872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.7? (a) 0.2 (b) 0.5 (c) 1042 (d) -8 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 381548?\nAnswer: 2, 17, 31, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 133.9999858 + -134. What is o rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 140, 47, -190, -643, -1384, -2485?\nAnswer: -4018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**2 + 0*i**2 - i**2 + 4*i - 4*i + 15*i**2 + (3*i - 1 + 1)*(-2*i + 5 - 5).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-20)\/(-9) + 6\/(-27). Suppose l*c = -3*r + 4*c + 97, -183 = -5*r - 2*c. Calculate the remainder when r is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60, 220, 480, 840, 1300?\n\"Answer: 50*o**2 + 10*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 35*o - 213 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.74671 and -0.33.\nAnswer: 0.41671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 961900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 68067845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/17581 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/2*21\/(420\/5)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 23 = -9. What is the biggest value in -0.1, -5\/6, y, -0.5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11547 divided by -4?\nAnswer: 11547\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 56466035 (base 7) to base 6\nAnswer: 253103035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 * -8319\nAnswer: 83.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 377520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -13*h**2 - 2 + 12*h**2 + 2. Let n(l) = -l + 6. Let z be n(4). Let s(d) = -5*d**2 - 2*d**z + 4*d**2. What is s(i(j))?\nAnswer: -3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 2*d**3 - 3*d**2\/2 - 4*d + 6. Let q(t) = -t**2 + 8*t + 3. Let j be q(8). Calculate the remainder when s(j) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2 - u + 21. Is v(8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2608 = 11*u - 3596. Suppose -u = -3*v + 1086. What are the prime factors of v?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -7, 2 in ascending order.\nAnswer: -7, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 403085077?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97221.\nAnswer: 3, 23, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.108 + 4.108. Which is smaller: a or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 453791689 >= 453791692?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/5)*u)**(1\/10)\/(u**(3\/2)*u**(-1\/2)) assuming u is positive.\nAnswer: u**(-19\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 h when two letters picked without replacement from jhqjjqoojjojjhqoahh?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 4. Let n(u) = u - 1. Let m(v) = h(v) + 4*n(v). Let g(j) = j. Calculate g(m(b)).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -43999*b - 5. Let u = -1 - -6. Let z be g(u). What is z rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -625 + 856. Let u = x + -223. Calculate the remainder when 32 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/5 + 8422*b\/5 + 33656\/5 = 0. Calculate b.\nAnswer: -4207, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/112)\/((-2)\/8)*4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 2*k. Suppose k = v - 3 - 1. What is the smallest common multiple of v\/(-2) + 21 + -1 and 16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = -2*k + 11*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5126 + -3439. Is j a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9102335303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3502, 7005, 10508?\nAnswer: 14011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/10 - 707\/(-5). Let h = -82 + i. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 7*r + 3*c = -29, -2 = 2*c. Solve r*j - 5 = 14*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (1 - (-10 + 5 + 8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*-8076.\nAnswer: 121140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -383*m**2 + 226*m**2 + 58*m**2 - 742*m**2 in the form h*m**2 + b + u*m and give h.\nAnswer: -841","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k**2 + 722 + 3*k**3 - 722.\nAnswer: 3*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 22*r - 2*r + 4*r**2 + 42*r**3 - 30*r**2 = 0.\nAnswer: -2\/3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((5 + -4*sqrt(72))*-6*5)**2.\nAnswer: -216000*sqrt(2) + 1059304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285 + 96 = 97*o + 102 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 626447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 1. Let g(z) = -z**3 - 10*z**2 + 9*z - 8. Let q be g(-11). Let u(a) = 3*a - q + 13 + 2 + 3*a. What is u(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 8\/(-1)) + -7 - 7. Solve -2*v + 15 = 5*p - s, -14 = -3*v + p for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 159 = -31. Does 20 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 2, -0.0209, 1\/3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w + 23. Give t(10).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -29. Let z = j + 17. Calculate the smallest common multiple of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -33 - 25. Let b be (7 + -3)\/4*98 + 3. Let c = b + -302\/3. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49 - -51. Let h be ((-24)\/(-4))\/(s - 1). Let q(c) = -c + 2. Give q(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3357493, 6714966, 10072439, 13429912, 16787385?\nAnswer: 20144858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27398*q + 168 = -27374*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = -266 + 262 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/7? (a) -1 (b) 5 (c) 149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1858 + 5968 = 7*b. List the prime factors of b.\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2338652817 a multiple of 4689?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22110 + -361. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-14 + 6 + 5).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 168*k + 24. Let y be v(12). Let a be y\/15 - -2*2. Suppose -168 - a = -2*i. Round i to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -23106, -46210, -69308, -92400?\n\"Answer: 3*q**2 - 23113*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**3 + 650727*c**2 + 6507345*c + 16268425.\nAnswer: -(c - 650737)*(c + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3593 + -3595. What is the nearest to s in -0.12, 3, 0.4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 122890 (base 11) to base 4\nAnswer: 233120032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 3) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(96)\/(sqrt(2) - (sqrt(288) - (sqrt(288) + -2*sqrt(288)) - sqrt(288) - sqrt(288))))**2.\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -102 + 109. Suppose -h + 8 = p. Suppose -2 = q - 5*z - 24, 2*z - 2 = -5*q. Sort 0, q, p in decreasing order.\nAnswer: q, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1515*w - 22. Let j be z(-2). What is the greatest common factor of j and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ec2033 + -3?\nAnswer: ec2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4466411 + 3?\nAnswer: -4466406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 2. Let t(j) = 2*j - 7. Let u be t(6). Suppose -s - 16 = 2*s - 2*r, 3*s - r + 14 = 0. Sort s, u, a in increasing order.\nAnswer: s, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -297586.\nAnswer: 1785516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -329 + 98. Let l = 235 + m. Solve 0 = 2*z - 6 + l for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -7. Let d = g - -8. Which is smaller: -0.3 or d?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4252786?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 321481?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -40 or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from oooboooooooqqox?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 12166789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24528, 49064, 73600?\nAnswer: 98136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 37*w**2 + 17*w - 234. What is the remainder when u(38) is divided by 134?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 < 26\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 4:17 AM?\nAnswer: 2:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 80*f - 4878\/7.\nAnswer: -2*(f - 271)*(f - 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/66, -1, 1\/2, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j - 15. Let r(u) = 9*u + 29. Let i be (-20)\/(-6) + (70\/(-7))\/30. Determine i*r(z) + 5*a(z).\nAnswer: 2*z + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1082*q - 553*q = -1010*q - 69255 for q.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 44.8?\nAnswer: 17.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-141 - -148) + 29 + -10\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4 + s**3 + 2*s**2 + 0 - 3 - 3*s**3. What is the remainder when b(-2) is divided by -27*(-3)\/(-45)*-5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 7:37 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -343*b - 664*b + 1381*b + 2159*b + 1 in the form m + g*b and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.296933813 * -4.\nAnswer: 1.187735252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 14 + 1 = 3*q, -3*u - 5*q + 25 = 0. Solve u = -5*p + o + 19, -o - 16 = -4*p - 0*o for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 2*p**2 - 3*p - 4. Let u be z(4). Suppose 3*w - 443 = u. Is ((-6)\/(-2) - 2)*(w + -10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/7)\/((n\/(n*n**17*n))\/n*n))\/(n**(-6))**8 assuming n is positive.\nAnswer: n**(461\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand a - a - a**4 + 69*a**2 - a**4 - a**3 - 31*a**2 + 50*a**2 + (23*a**2 - 5*a**2 - 8*a**2)*(-5*a + 5*a - a**2) + (-a + 3 - 3)*(2*a**2 - 2*a**2 - 2*a**3).\nAnswer: -10*a**4 - a**3 + 88*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millimeter in micrometers?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5, -26143, 0.2 in decreasing order.\nAnswer: 6, 0.2, -5, -26143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 0.4 (b) -6 (c) 3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2592 at least as big as 56?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the first derivative of -y**4\/4 + 7*y**3\/3 + y**2 - 2*y - 5. What are the prime factors of a(6)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:26 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23747*p**2 - 47497*p**2 + 23761*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 2 - 7 = 0. Suppose -x = -5*d + x + 3, 4*d + m*x - 7 = 0. Solve 0 = 5*o + 2*c - 12, -3*o - 5*c + d = 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264776 and 3128.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 273*k - 36. Let n(o) = 68*o - 10. What is 3*b(d) - 11*n(d)?\nAnswer: 71*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/7*h**2 - 12\/7*h**3 + 27\/7*h + 6\/7 = 0. What is h?\nAnswer: -1, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -828*s - 1033 + 449 = -553*s + 2716 for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*i**6 - 822*i**4 + 3*i**3 - 65364*i**2?\nAnswer: 480*i**3 - 19728*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -38 - -40 - (-2 + (1 - 2)). Solve -v*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 174878 + -26215. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m + 9*m = -30. Calculate the highest common factor of m and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 17\/2, 2\/5, 1.73, -0.1, -1, -0.04?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 0.3, 656\/69, -0.1, -0.066?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 5 + sqrt(98) + 1.\nAnswer: 7*sqrt(2) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 0*z + 0 - 2 + z. Let o be s(4). Suppose 4*v + 3 = -n, n - 3 = o*v + 18. Calculate the remainder when 25 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53\/35 - 12\/7. Which is the biggest value? (a) -2 (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18 - -2)*-5*32\/(-200). Suppose 4*f = u, -3*s + 5*f + 4 = -0*f. Solve -4*q + 7 = 19, 4*q = -2*h - s for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/(83 - 118) + (-56)\/9.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1\/369 - -365\/1476. Factor -f*s + 1\/4*s**3 - 1\/4 + 1\/4*s**2.\nAnswer: (s - 1)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of 0*i**2 + 1\/6*i**6 + 0*i + 0*i**5 - 1 + 0*i**4 - 1\/3*i**3. What is the third derivative of l(c) wrt c?\nAnswer: 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + (3 - 0) + -3. Let q(w) = 4*w**2 + 3*w. Let m(u) = 4*u**2 - u + 5. Let x(i) = 5*i**2 - i + 6. Let k(l) = 6*m(l) - 5*x(l). Give r*q(d) - 14*k(d).\nAnswer: -2*d**2 + 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/5))**(-1\/20)\/(t*t**(-2\/5)*(t*(t*(t**(3\/4)\/t)\/t)\/t)\/t*t) assuming t is positive.\nAnswer: t**(-37\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 779?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/411511 and 35\/8?\nAnswer: 3292088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 1a317?\nAnswer: 1a315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 785527*j. Let o(t) = -5*t. Determine h(o(q)).\nAnswer: -3927635*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110341103 + 112?\nAnswer: -110340551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 - 2163*r**2 - 1559523*r - 374805361.\nAnswer: -(r + 721)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 60 and 750?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -8*j**3 + j**2 - 1. Let q be b(-1). Suppose 62 = q*f - 346. Let d = f - 47. Solve 3*o + d = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2954, 4661, 6368, 8075, 9782, 11489?\nAnswer: 13196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 992.11 litres?\nAnswer: 992110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**3 - 636376*h**2 - 25310900836*h = 0. Calculate h.\nAnswer: -79547, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -27. Let u(s) = s**2 + 3*s - 1. Let r(o) = o - 1. Calculate d*r(y) - u(y).\nAnswer: -y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, q: 9, l: 3, w: 5}. Give prob of picking 1 w and 1 e.\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 54 = 10*z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 562444 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/2 - 27\/(-54). Sort -2, -12, u in descending order.\nAnswer: u, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4.4? (a) -1\/2 (b) -4 (c) -0.2 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -2.12. Let h = b + 0.02. Let g(k) = -k**2 + k + 1. Let y be g(-1). Which is smaller: h or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**2 + 0*i**2 + 4 - 7 + 2. Let z be r(2). Suppose -z*x + 184000 = -9*x. What is x rounded to the nearest ten thousand?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -14 (b) 1\/6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 + 11*d**2 - 136*d - 1492. What is l(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1355 - 1085 = -11*z + 56*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:56 PM and 9:48 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -687 - -686.6994. Round v to 2 dps.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*a**3 - 3*a - 12982 - 563*a**3 + 12982 + 7*a.\nAnswer: -669*a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 32. Let g(m) = -y + 261*m - 262*m - 2*m**2 + 3. Let u = 2 - 4. What is g(u)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5.16 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + t = -9 + 10, 0 = 4*t + 12. Suppose f*o = -5*u + 131, 3 = -u + 6. What are the prime factors of o?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6244984 centuries to millennia.\nAnswer: 0.06244984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72146299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-184)\/(-414)*(-3)\/(-4). Let n(p) be the third derivative of 7*p**2 - c*p**3 + 1\/3*p**4 + 0 + 0*p. What is the derivative of n(b) wrt b?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1588)\/228 - (23 - 19 - 11)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 50*d**3 - 12*d**2 - 12*d + 2. Let m(w) = 20*w**3 - 5*w**2 - 5*w + 1. Determine -5*b(a) + 12*m(a).\nAnswer: -10*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 615*f - 40341 + 86466 = 0 for f.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/28 and (2 - 17\/10)\/((-45)\/(-1185)).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 18.016. Let n = -0.016 + d. Do n and 0.24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 26 + -18. Let u = i - 5. Suppose 5*b + 5*p = -35, -5*b - u*p = 22 + 5. Sort -2, b, -5 in decreasing order.\nAnswer: -2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.41183 * 23.\nAnswer: 78.47209","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*r + 10*r - 21*r + 5*r + 0*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 3 + 3 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**3 + f**3 + 4*f**3 + (-2*f - f + f)*(f**2 - 5*f**2 + 2*f**2) + (f**2 + f**2 + 0*f**2)*(0*f + 3*f + 0*f).\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**4 + 12*t**3 - 28*t**2 - 60*t + 72 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/2)\/u*u)**(-2\/11)*(u\/(u*(u*u\/u**0)\/u))**(-14))\/((u**4\/u**(3\/4))\/(u\/(u**2\/u))**(-19\/5)) assuming u is positive.\nAnswer: u**(469\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12\/(-2) - (-140 - 23).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 3*z)*(48 + z**2 - 48).\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**2\/8 - 672861621*o\/4 + 150914253671582547\/8.\nAnswer: 3*(o - 224287207)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**5\/2 - 7136*w**4 + 185693*w**3\/2 - 85838*w**2 - 1828352*w + 1828480 = 0. What is w?\nAnswer: -14285, -4, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 0 - 1 - 88*j + 4 + 90*j. Calculate the remainder when x(15) is divided by 13.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 divided by -2500715.\nAnswer: 24\/2500715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-26)\/(-7) + (-2)\/(-7). Let g be (6\/30)\/(k\/35). Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**4\/60 - k**3\/15 - 3*k**2\/10 - 10*k. Factor u(x).\nAnswer: (x - 3)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9041\/15 + -603. Which is the biggest value? (a) x (b) 15 (c) 0.5 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235040.2 decades in centuries?\nAnswer: 23504.02","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/(-4))\/(19\/152). Suppose 0 = -f + m*t - t + 11, 0 = -f + 4*t + 26. Find the second derivative of f*w - 7*w**2 - w + 26*w**2 wrt w.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122608*j**2 - 119868*j wrt j.\nAnswer: 245216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 33*k. Let a(q) = q + 1. Let m(s) = -s**2 + s + 1. Let d(y) = -2*a(y) + 2*m(y). What is d(u(p))?\nAnswer: -2178*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -330 - -534. List the prime factors of h.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43046 times -0.31?\nAnswer: -13344.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o**2. Suppose w = -d + 110, 5*w - d = 3*d + 514. Let b(h) = 204 + 9*h - w - 100. Determine g(b(j)).\nAnswer: -243*j**2 + 108*j - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 720*t**2 - 720*t**2 - 6*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*k**3*r**3 - 55*k**3*r + 153*k**3 - 2*k**2*r**3 - r**3 + 1937 wrt k?\nAnswer: -12*r**3 - 330*r + 918","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/8)\/(23\/(-276)). Let j(y) = -4*y - 27. Determine j(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 897 a factor of 1208045?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -2*h - h. What is the remainder when 41 is divided by h\/(-8)*6*-1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 10*i**2 + i - 10. Let h be k(10). Suppose h = -12*w + 14*w - 130. Calculate the greatest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.5, 1, -3\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of 7\/6*m**3 + 5*m**2 + 1\/20*m**5 + 0*m**4 + 0*m + 0. Differentiate j(p) with respect to p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30.38 + -27.486. Let g = m + 0.106. What is the third smallest value in 0, -0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1337642993.\nAnswer: 23, 1289, 45119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2\/7 + 1044732*r\/7 - 2089448\/7.\nAnswer: -4*(r - 261181)*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3*(-2 + -5*(1*-4*sqrt(612) - sqrt(612))*-2)**2.\nAnswer: 3600*sqrt(17) + 4590010","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 233349?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 158.249 + -158. Let p = q + 9.851. Let d = p + -10. Which is the closest to 1? (a) -0.5 (b) d (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 + 3. Let k = -79 - 26. Let n = k + 102. Sort n, 4, b in descending order.\nAnswer: 4, b, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 0.1 (c) -0.25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fd when two letters picked without replacement from fnldlpflfxlxnxnd?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -19*w. Let o(s) = 2*s - 361. Give o(g(z)).\nAnswer: -38*z - 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -86 - -136. Let m be 3 + 9*(-4)\/(-3). Let y = m + a. Calculate the highest common divisor of y and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79\/1503 + 1\/334. Let l(p) be the first derivative of 1 + 0*p + 2\/9*p**2 - 2\/9*p**3 + d*p**4. Solve l(m) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -61, -3, -2, -1, 118?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u. Let t(f) = -f**2 - 3. Let m(g) = g**2 + 2. Let d = -1 - -4. Let q(o) = d*m(o) + 2*t(o). What is q(l(z))?\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.6? (a) -2\/9 (b) -4 (c) -3\/5 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 + 2*d - 2. Let k be m(1). Suppose z - k*f - 32 = -f, -5*f + 78 = 2*z. Let s = 36 - z. Solve -4*u - 11 = q - u, s*q = 5*u for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of 5\/2*y**5 - 15*y**2 + 265\/24*y**4 - 20\/3*y + 41 + 25\/3*y**3. Determine d, given that x(d) = 0.\nAnswer: -2, -1\/5, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -154.27 and 2\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/3 - 22\/(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 31154 and 2432959.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 40198 and 11343.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - (-5 + -2)) + 1. Suppose -4*t + s = -2*t. Suppose -2 = 2*z + u, 0 = -z + 3*u + 8 + t. Let v(l) = -8*l**2 + 1. What is v(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 26. Let n be x\/(-8) + 2\/8. Suppose -n*b + 4*w = -90, 0 = -5*b - 3*w + 240 - 67. Calculate the remainder when b is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0 = 5. Suppose -3*c = 5*o + v + 3, 2*o - 4*c + 12 = 0. Let x be (-3 - o - 2) + 6. Solve -p = -x*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -479, 475, 2065, 4291?\nAnswer: 7153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -123016, -246106, -369196?\nAnswer: -492286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/364 and 121\/532.\nAnswer: 6916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/4*-2*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -246. Let i = 238.9 - r. Which is smaller: -8\/15 or i?\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 0 - 2) + 71. Suppose -4 = -g + h. Let l be 26 + 0*3\/30. What is the highest common factor of l and g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -21, -92, -219, -408, -665, -996?\n\"Answer: -z**3 - 22*z**2 + 2*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 7:44 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11914618?\nAnswer: 2, 5957309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14817 is divided by 7345?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 961 divide 940819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h - 31. Calculate j(14).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41750 is divided by 376.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.074561583 rounded to 5 dps?\nAnswer: 0.07456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 8:12 PM?\nAnswer: 11:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 2 = 5*f, 2*f - 13 + 5 = -2*c. Solve -10 = -4*b + c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 6*m**2 - 7*m. Let r(c) = -2*c**3 - 13*c**2 - 15*c + 1. Let k(u) = -3*r(u) + 7*t(u). Give k(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c + 13 - 13 + 6*c**2.\nAnswer: 6*c**2 - 8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-6)*k*k*k\/k**3*(k\/((k**(-10)\/k)\/k)*k)\/((((k\/(k**(-8)\/k))\/k)\/k*k*k)\/k))**(8\/7) assuming k is positive.\nAnswer: k**(-8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 81.58665 kilometers?\nAnswer: 81586650000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 6:54 AM?\nAnswer: 9:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3737 - 3790 - -2*14?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 3 + 1 + -1 + -1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*s**6 + 5*s**2 - 18*s**6 + 12*s**2 + 13*s**2 wrt s.\nAnswer: -5040*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660 - 8100 = 181*k + 1429 for k.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 54 in -3\/4, -1, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of r + 1\/12*r**4 + 3*r**2 + 0 + 1\/3*r**3. What are the prime factors of d(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1024, 1090, 1238, 1468, 1780, 2174, 2650?\nAnswer: 3208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 32 - 162. Let h = 28 - z. Suppose 18 = -17*w + 86. Solve l - w = h*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 0*t - 10 = -2*j, -5*t - 2 = -3*j. Suppose 0 = -2*g + 2*w + 62, 0*g + j*w + 158 = 5*g. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1*2\/(-4))\/((-18)\/(-216)). Is (-7 - i)*2146\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of t**3\/6 - t**2\/2 - 3*t. Let x be w(3). What is the derivative of 2*f**2 - x - 2*f**2 + 8 + 2*f**2 wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 51 + -42 + (-38 - -106) + (-12 - 0)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9*q - 13. Let j be 1\/(-4) - (-31)\/(-4). What is the units digit of p(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 581623 is divided by 375.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1297*k**3 + 31*k - 1299*k**3 + 23*k.\nAnswer: -2*k**3 + 54*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 658590.\nAnswer: 2, 3, 5, 29, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -190928.9372 rounded to the nearest 10?\nAnswer: -190930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18 + 18 + 5*f)*(1 - 1 + 3).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 572 + -592. What is the closest to -1 in 3, 1, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -7000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6843005784 to the power of 1\/2, to the nearest integer?\nAnswer: 82722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -1 - 8 + 6 - 2*y. Give r(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - 0*x - 81. Does 9 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 12 = 2*c, -c + 5*c + 4 = 0. Let z = -10 + m. Let r = 151 - 1055\/7. What is the smallest value in z, -1, r?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**6\/720 + 7*s**5\/120 + s**4\/12 + 5*s**2\/2 + 55*s. Let l(w) be the third derivative of p(w). Determine l(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 + z - 10. Let i be h(-5). Let j be 20\/i + (-16)\/(-18). Which is bigger: 6 or j?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**5\/20 + 5*b**4\/12 - b**3\/2 - b**2\/2 + 5*b. Let k be c(-6). Let g = -10 - k. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/3 - 5659*p\/3 - 152438.\nAnswer: -(p + 82)*(p + 5577)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**5\/7 + 16*a**4\/7 + 25*a**3\/7 - 6*a**2 = 0?\nAnswer: -14, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22.19 - -22.59. Which is the closest to h? (a) -0.3 (b) -2\/11 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -8\/63 and 76\/21.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19*4\/8*-2 and 6\/41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7117216791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -12*g - 7 - g + 3*g + 8*g. Let q be f(-7). Solve -s = -q*s + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 10. Differentiate -l + 4*c + 3 + 0 wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 284051 or 284050?\nAnswer: 284051","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48515641?\nAnswer: 59, 822299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 95*c**6 + 521*c**5 + c**4 + 6*c**2 + 1992779*c wrt c?\nAnswer: 11400*c**3 + 31260*c**2 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25 + 190. Calculate the lowest common multiple of 11\/(b\/(-18))*-15 and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 2580*h + 5176.\nAnswer: -4*(h - 647)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279*z = 313*z - 442 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 2*g. Let y be x(1). Suppose p = 5*p. Suppose 10 = 5*w - 2*i, 0 = -5*w + 3*i + i. Solve -3*t - 4*u - w = 0, p*t + 4*t = 2*u + y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31892600.\nAnswer: 2, 5, 159463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-1\/3)*g*g*g)\/(g\/(g*(g\/(g*g**(-10)*g*g))\/g*g)))\/(g**(2\/7))**(-2\/67) assuming g is positive.\nAnswer: g**(17834\/1407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8894582 is divided by 106.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 1:56 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 13 = 2*t, 4*t + 5 = -u + 4*u. Suppose -3 = -u*y + 12. Suppose -3*k - 60 = -4*s - 210, y*s - 123 = -2*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -502131.829 to the nearest one hundred.\nAnswer: -502100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1811680 and -0.25327?\nAnswer: 1811680.25327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 475, 0.1, -37\/3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4) + 2\/(-8). Let r = -0.5 - -0.3. Let m = -1000.2 - -1000. What is the closest to m in r, 1\/4, a?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27575995 divided by 1\nAnswer: 27575995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 4:23 PM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/15)\/h*h**(-4\/9)*(h**0\/h)**(3\/22)*(h**0)**(1\/17)\/(h**1\/(h\/((h**(-5)\/h)\/h))) assuming h is positive.\nAnswer: h**(5299\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*i + 8 = -45*i. Suppose 0 = -0*v + 4*v + 4. Let l be v*2*i\/4. What is the second biggest value in -0.1, 1\/6, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(0 - (-1)\/(-1)). Let m be (-61)\/2*448516\/b. Let r = m + -8079738. Round r to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (136\/(-6))\/(2\/(-3)). Suppose 5*f + 29 - 144 = 0. Let r = j - f. What is the remainder when 53 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 - (-4 - 190) - (-2 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 + -13.9. Let y = -0.2 + o. Which is smaller: y or 3\/8?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-56327)\/161)\/(-31) - (-3 + 46\/14). Solve 410 = -k*n + 344 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 357 + -349. Let u be 75\/(-200) + 35\/d. Solve -3*g + 35 = 4*t, -4*g + 5*g = -u*t + 25 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.121, 4, -0.8, -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -263347 = 39*h + 16*h - 1238717. What are the prime factors of h?\nAnswer: 2, 8867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27861155 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 217 + 243 = 7*j, -5*j - 3*v + 28 = 0 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 17 and -22.45.\nAnswer: -381.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.557 + -33420324.\nAnswer: -33420323.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/10*25*(-3)\/15.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18.23*70.\nAnswer: -1276.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:15 AM and 5:07 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-60)\/(-5))\/((-2)\/1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*o**3 + 590*o**3 - 1184*o**3.\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 5:52 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 3*d. Let x(l) = 0 + l + 0. Calculate p(x(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 65179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 87 - 45. Suppose -a = -4*s + 122. List the prime factors of s.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 95, -1055, 0, -5 in increasing order.\nAnswer: -1055, -5, -4, 0, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b - 6 = -10*b. Let j(m) = -3*m**3 + 17*m**2 - 28*m + 8. Let t(z) = -9*z**3 + 51*z**2 - 83*z + 24. Let y(q) = b*t(q) - 17*j(q). Factor y(u).\nAnswer: -(u - 4)*(u - 1)*(3*u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p. Let d(g) = -224*g**2. Give d(u(n)).\nAnswer: -896*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/3367 and -47\/539?\nAnswer: 259259","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(4576\/22)*(-4)\/(-1)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 442*w**2 + 52. Let o(y) = 26*y**2 + 3. What is 3*l(v) - 52*o(v)?\nAnswer: -26*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 84*s + 395. What is the remainder when 352 is divided by p(38)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -847 + 1807. Let q be -1*2*267\/i. Let s = 5\/32 + q. What is the third smallest value in -4, -0.3, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 3*d**3 + d**2\/2 + 90*d + 233. What is the derivative of n(m) wrt m?\nAnswer: 18*m + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + -35?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 129\/7 or 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 360\/1076659?\nAnswer: 360\/1076659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 8:26 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -265 + 125. Let j = 278 + c. List the prime factors of j.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 92278\/87*6\/(-4). What is the hundreds digit of j\/(-7) - (-6)\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, and 2 p when four letters picked without replacement from {x: 1, b: 1, p: 3, y: 2}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 15582 times 0.2\nAnswer: 3116.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 30, 60, 92, 126, 162, 200, 240?\n\"Answer: w**2 + 27*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 0 (b) 0.5 (c) -2 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 3*r**2 - 9*r + 1. Calculate o(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -189756 or -190379?\nAnswer: -189756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*u**2\/3 + 24*u + 10\/3.\nAnswer: 2*(u + 5)*(7*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o. Let b be d(3). Let h be 2\/b*-8*3. Let s(g) = -g + 9. Let n be s(h). Solve 1 = x - n for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 25*o - 11. Calculate t(3).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 2*a**2 + 5*a**2 + 12*a**2 - 4*a**2 to the form d*a + h + w*a**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m = -582 + 10974. What are the prime factors of m?\nAnswer: 2, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 8 = -5*r - 4*x, 5*r + 10 = -5*x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*y - 13 = -1, f + 9 = 4*y. Suppose f*z + 2*z + 75 = 0. Does 3 divide (z + -13)*2\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 15*y - 12. Let c(j) = 4*j - 3. Let a(l) = -9*c(l) + 2*o(l). What are the prime factors of a(-14)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-7\/4)*u*u*u*u**(-4\/5))**13*(u*u*u**(5\/6)*u*u*u*u**2)**(-4\/5) assuming u is positive.\nAnswer: u**(151\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7840 - -86252\/11. Which is the fifth biggest value? (a) -5 (b) 1.1 (c) g (d) 0.2 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-15)*(-36)\/(-420)*10?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -207*t**3*x - 9*t**2*x**2 - 192*x**2 + 2 wrt t.\nAnswer: -621*t**2*x - 18*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/7 - 86416*x\/7 - 466732816\/7.\nAnswer: -4*(x + 10802)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12830243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -8. Suppose -x = o + 2*x + 6, -n*o = 3*x + 6. Suppose -17 = -5*w - 3*h, 2*w + o*h - 3 = -5*h. Solve -20 = -4*m - w*d, m + 3*d + 9 = 6*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (390\/(-105))\/((-80)\/(-28) + -3) is divided by 17?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0, -4\/49, 1, -3?\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/120*(-36)\/((-3)\/1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -109, -106?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(44) - (sqrt(44) - sqrt(176))) + (sqrt(440) - (sqrt(440) - sqrt(440)*-2))\/sqrt(10))\/(sqrt(8)\/(sqrt(2) + -3*sqrt(6)\/sqrt(3))).\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p + 144. What is j(-7)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/3984 and 37\/1497?\nAnswer: 1988016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 38*f**2 - 2*f + 1. Let m be i(1). Find the common denominator of -119\/10 and -1*m*(-21)\/(-70).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(1700) + 0).\nAnswer: -40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/402 and 41\/126?\nAnswer: 8442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-4 - (-2 + 0 - 0))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 131 + -131.5. Is -0.175 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*m**2 + 3*m**2 + 3*m**2)*(-m - 2*m + 5*m) + 1992377*m**3 + 0*m - 1996754*m**3 + 2*m**2 + m as l*m**2 + x*m + a*m**3 + j and give a.\nAnswer: -4373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 0.5 (c) -0.5 (d) -2 (e) 163 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53.2 - -27.8. Which is the nearest to -1? (a) -1 (b) u (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 409 - 379. Suppose 16 = -3*u + 4, -3*u + 6 = 3*s. Calculate the lowest common multiple of s and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 75241.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, -4\/3, -308, -1, -3\/11, -0.3, 7?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4*s - s - 4*s)*(-1 - 3 + 2).\nAnswer: 2*s - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309064671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(126)\/sqrt(3)*-4 + sqrt(84)\/(sqrt(2)*-2))\/(sqrt(864) - (sqrt(864) - 3*sqrt(864)*1 - sqrt(864)))*-6.\nAnswer: 9*sqrt(7)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 5*x + 55, -2*j + 23 = 4*x - 11. Calculate the remainder when 49 is divided by j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**4 - 5*s**4 - 5*s**4 + 0*s**4 + 0*s**4 + 2*s**4 + (3*s - 6*s + 2*s)*(-s**3 - 2*s**3 + s**3) - 5*s**4 + 2*s**4 + 2*s**4 + 0*s + 0*s + 2*s**4.\nAnswer: -5*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + -3. Let j be 180\/(-385) + (-6)\/(-33). What is the second biggest value in 1\/8, s, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 5*a - 2 = 0, 38*a - 3 = -7*u + 42*a - 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 4) + -5 - 1 - (-41 - -10).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w - 18. Let j = 29 - 23. Let z be v(j). Factor 0*d + 2\/3*d**3 + 0*d**2 + z + 2\/3*d**4.\nAnswer: 2*d**3*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 71.27385ug?\nAnswer: 0.00000007127385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6 - (-2)\/2*1. Let y be (-8)\/28 - (-2)\/r. Let p = 0.39 + 0.01. Which is the third biggest value? (a) y (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 214883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - 5*u**2 - 7*u - 10. Let h be q(8). Calculate the greatest common divisor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5676)\/(-4730)*(-2)\/(-12)*-2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**4 + 4*p**3 - 4*p - 5. Let w(z) = -z**3 - 60 + 0*z**4 + 59 - z**4 + z. Let n(f) = -k(f) - 4*w(f). What is the derivative of n(a) wrt a?\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gga when three letters picked without replacement from {b: 3, a: 2, g: 3}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.33602 to 2 decimal places.\nAnswer: 0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p + 2. Let b be s(-2). Is (57\/b)\/((-1)\/4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -65, 4, 3, -3 in decreasing order.\nAnswer: 4, 3, -1, -3, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, f: 4}. What is prob of picking 2 f and 1 g?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13418 is divided by 62.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 12393 divided by -27\nAnswer: -459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*g**3 - 9*g**3 + 10*g**3 + g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 22217*q - 22202*q - 60. Solve -1160 = -q*l - 1196 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) + (sqrt(315) - ((sqrt(315) - (-2*sqrt(315) - sqrt(315)) - sqrt(315))*2 + sqrt(315))))\/sqrt(9))\/(sqrt(28)\/(sqrt(16)\/sqrt(324))).\nAnswer: -5*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -79161109.921923 + 79155642.5. Let a = 5412.4219 + s. Let q = a - -55. What is q rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.05 (b) 0.15 (c) 18\/179 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -10 + -16 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 432.7162994741 plus -0.1?\nAnswer: 432.6162994741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-4)\/q)\/(q\/(q*q*q**0*q)*q))\/((q**(8\/3)\/q*q)\/q**(4\/7)) assuming q is positive.\nAnswer: q**(-128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 59*i**2 - 3*i - 2. Let t be w(-1). Let q = -422\/7 + t. What is the closest to 0.1 in q, 0.1, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 14 = -34. Let x be (-1)\/n - 3\/15. Let t be (-20)\/8 - (6\/(-1) + 3). Which is the nearest to 2? (a) t (b) x (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 120.\nAnswer: -7, -3, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/15 and (-221)\/609 - 120\/(-140)?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*n**2 + 274*n**2 - 93*n**2 - 96*n**2.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12965.\nAnswer: 5, 2593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7703 - 1321. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24.191 - -0.191. Let z = r + 23.8. Which is the second biggest value? (a) 0 (b) -5 (c) z (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 1451583?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11183317?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 34*g**5 - g + 13*g - 27*g**5 wrt g?\nAnswer: 140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -cc + -42c33?\nAnswer: -42cff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 21*c + 71. Give s(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*m**5 + 2*m**5 + 58*m**6 - 2*m**5 + 188*m**6 + 920*m**4 + 5155*m**2 - 247*m**6 wrt m?\nAnswer: -120*m**3 + 180*m**2 + 22080*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 494 minutes before 4:34 PM?\nAnswer: 8:20 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve 120*m + 929 - 484 + 512 = -963 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**4\/4 + o**3\/3 + o**2 - 120*o + 3. Determine m(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -492, -494, -496, -498?\n\"Answer: -2*z - 490","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22266?\nAnswer: 2, 3, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.454 - -5.\nAnswer: 8.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -21 + 79. Suppose -2*m = -4*k + u, -2*k + 95 = 3*k + 2*m. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476 is divided by 233.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 4*j**2 - 4. Suppose -10 = x - 5*h + 8, -3*h = -12. Let o(i) = -2*i**3 + 4*i**2 - 3*i + 2. Let q be o(x). What is d(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -115.7669 rounded to 0 decimal places?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 856 is divided by 94?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 716*z = 643*z - 22 + 1409 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-107282)\/(-1024233) + 21\/((-399)\/2). Which is bigger: a or -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-53)\/(-4) - 2\/8. Let h = -43 - -45. Suppose h*r = 9 + y. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48302 + -48214. Let n(q) = 5*q - 5. Calculate the least common multiple of o and n(5).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240118 is divided by 59787.\nAnswer: 970","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -9 + (-5 + 19 - (6 - 2)) + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -36.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4569 - 1863. List the prime factors of b.\nAnswer: 2, 3, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 1420 = 2*a, -8*a - t = -3*a - 3568. Are 713 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0. Suppose 3*k - 2*o = -3, 4*o + 2 = -2*k - 0*o. Let u = -4.1 + 4. What is the nearest to k in u, -1\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (((-10)\/6)\/(-1))\/((-6)\/(-1368)). Let k = -162 - f. What is k rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**2 + 3*u. Let r(p) = -2*p**2 + 3*p - 1. Let t(y) = 6*r(y) - 7*w(y). Let i be t(6). Suppose 2*a = 4*a - i. Is 15 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 9:48 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((8\/6)\/(-2))\/(-4). Let s be (88\/(-12))\/(6\/(-9)). Suppose 7 - s = 2*j. Which is the third biggest value? (a) -5 (b) j (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86102 at least 947130\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167179957?\nAnswer: 7, 23882851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1.047 (c) 14 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/(-24) - 14\/(-6). Let w = -12 - -15. Let j(t) = 0*t - 9*t + 2*t + w + t. Give j(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001409306 to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1 + 17*k**2 + 1 - 3*k**2. Let i(a) = -a**2. Determine i(c(n)).\nAnswer: -196*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 + 463 = 8*d. Is 17 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 323?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(0 + (-2)\/(-4)). Let q be -22 - (5\/(-5) + 4). Let w = -26 - q. Sort w, 5, c.\nAnswer: w, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/7 + 3148*f**2\/7 + 88256*f - 620944\/7.\nAnswer: 4*(f - 1)*(f + 394)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1660*-13\nAnswer: 21580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*l - 5 - 14*l**2 - 3*l**2 + 3 + 7*l**2 - l**2 in the form g*l**2 + x + r*l and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 4 - 14. What is the highest common factor of 18 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -57 + 52. Let q = k - -4.999978. Round q to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -1\/270*f**5 + 5*f**2 + 0*f + 1\/108*f**4 + 0 + 0*f**3. Factor s(k).\nAnswer: -2*k*(k - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fx when two letters picked without replacement from dididxiifmf.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 978 and 231264.\nAnswer: 37696032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of z**6\/120 + z**5\/15 - 5*z**4\/12 - 7*z**3\/6 + 11*z**2. Calculate o(-6).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}