diff --git "a/data/dm_maths/full_data_1/10207_11255.jsonl" "b/data/dm_maths/full_data_1/10207_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10207_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Simplify -4*(sqrt(18) - (sqrt(18) - (sqrt(18) - sqrt(144)\/(sqrt(16)\/sqrt(2)) - sqrt(18))))\/(sqrt(9) + (2*sqrt(900) - sqrt(900) - sqrt(900)))*-2.\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.69122 years in decades?\nAnswer: 0.569122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99 - 91) + -2 + (-13 - 1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n**4\/2 - 103*n**3\/4 + 6*n**2 + 43*n\/4 + 3\/2 = 0. Calculate n.\nAnswer: -2\/5, -1\/6, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -977234061*l + 676054675 with respect to l.\nAnswer: -977234061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-9) - (0 + 390\/(-9)). What is the greatest common factor of j and 176?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 7*y - 2. Let n be x(11). Suppose 20 = 5*f, 5*f = -3*l + 17 - n. What is l rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -4*v + 63 - 67, -3*v = -3*p + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4176\/(-1160))\/(45\/(-50))*4*(-15)\/880?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -o**2 + 0 - 11\/24*o**4 + 1\/3*o**3 + 0*o. Let i be y(-3). What is the greatest common factor of i and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -20. Let c = a - 3. Solve 5*s = h - c*h + 29, -h + 3*s - 19 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1132 - -1134. Suppose 2\/3*b**f - 4\/15*b - 8\/15*b**3 + 0 + 2\/15*b**4 = 0. Calculate b.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3834967 to the power of 1\/2, to the nearest integer?\nAnswer: 1958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 20*l**2 + 24*l + 25. Is m(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 11:41 PM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -0.3, 4\/5, -28?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -16. Solve -3*b = -c*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 - (-6 + (7 - -13))) + 8\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(1\/16)\/q**(1\/3))\/(q**(-4)\/q*q\/q**(-11)*q))**(-37) assuming q is positive.\nAnswer: q**(14689\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -367597*a**4 + 9*a**3 + 13336622*a**2 wrt a.\nAnswer: -8822328*a + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/(-4)*-1 - 22. Let i be 6\/(-4)*96\/t. Let n(x) = 8*x + 6. What are the prime factors of n(i)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 208*b**2 - 9*b - 32 wrt b.\nAnswer: 416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -4*m**2 + m + 9. Let x be u(-5). What is the hundreds digit of (-5)\/2*37*x\/60?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f + 4*f**2 + 8*f + 5*f**2 - 2*f**2 - 5*f**2 + (2*f - 3*f - f)*(f + 3 - 3) - 2*f**2 + 2*f**2 - 2*f**2)*(f**2 - 5*f**2 + 3*f**2).\nAnswer: 2*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-18) - (-228)\/(-54). Let a be (3 + -1)*v\/(-18). What is the third smallest value in -3, a, -2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxmmbxblllxmllm. Give prob of sequence lml.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 s when two letters picked without replacement from tttttsttsststsstttt.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.26 - 0.14. Let h = 222\/91 + -28\/13. Sort h, 0.3, j in descending order.\nAnswer: 0.3, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 7*d - 9. Let l be x(-6). Let c = 23436 + -23442. Put 1, c, 5, l in increasing order.\nAnswer: c, l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 27.\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 6 = q. Suppose q*c - 2*c = 0. Solve 0*j - 4*j = c for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*j - 3470*j**3 + 53*j - 22087*j**3 + 5909*j**3.\nAnswer: -19648*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -116\/11*c**2 - 70\/11*c**4 + 186\/11 - 252\/11*c**3 - 2\/11*c**5 + 254\/11*c = 0. Calculate c.\nAnswer: -31, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17484206*q**3 - 95671685.\nAnswer: 52452618*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5349335873 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2 = -8. Suppose 2*i = 13*i - 44. Solve 0*u + n*u = i*c - 12, 0 = 5*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/33653300 and -16\/15.\nAnswer: 100959900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11763825?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 - 243 + 103 = 11*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17715 + 20430. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/7, 3, -1, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -257, -1962, -6573, -15542, -30321?\nAnswer: -52362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(36\/(-429)) - (-6)\/(-8). Suppose -2*t = -0*t + 66. Let a = z + t. What is the smallest common multiple of a and 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 456*c**2 - c. Let l be b(1). Suppose x - 13 = -8. Suppose -x*w + l = -0*w. What are the prime factors of w?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2)*(3 + 2*n - 3)*(3*n + 0 + 0) + 2*n**2 - 3*n**2 + 3*n**2.\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -2*w + 16. Let x be f(14). Let u(j) = j**2 + 20*j + 32. Let h be u(x). Let k = h - -64. Solve 0*s - 4*s - 8 = k for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + r - 3516 = -r, 3*w + r = -10520. Let v = w + 5691. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/4 of a centimeter?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 34\/5 of a meter?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*p - 6*g + 15, 0 = -2*p + 3*g + 21. Let q(i) be the second derivative of 0 + p*i - 3\/2*i**2 - 1\/4*i**4 + i**3. Factor q(h).\nAnswer: -3*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2093)\/42)\/(-13) + (3\/(-9) - 1).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 divided by 5969.\nAnswer: 14\/5969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.02 - 1.98. Which is the closest to 2\/3? (a) -2 (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 416 and 3\/(-12) - (5 + 2088\/(-32)).\nAnswer: 6240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 3*k**2 + 2. Let j(w) = -6*w**2 - 4. What is 3*j(n) + 5*z(n)?\nAnswer: -3*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -175*h**2 + 34*h - 30. What is t(1)?\nAnswer: -171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 45*u**2 + u - 1. Let v be r(1). Suppose -6*s + v = -3*s. Let z = -84 + 113. Calculate the remainder when z is divided by s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7415808 is divided by 263.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 9*n + 10. Let d be u(8). Let h = -7 - -6.08. Let b = h - 0.08. Which is smaller: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 517 + -510. Let c(v) be the third derivative of 2\/315*v**o + 1\/24*v**4 - 1\/120*v**6 + 0*v + 1\/18*v**3 - 1\/36*v**5 + 0 + 9*v**2. Factor c(n).\nAnswer: (n - 1)**2*(n + 1)*(4*n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dkypyyk. What is prob of picking 1 p and 2 y?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30622230 by -3.\nAnswer: 10207410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 6*p + 1. Let i(y) = -y**2 - 1073*y + 10868. Calculate the lowest common multiple of t(5) and i(10).\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10.5 times 1394382\nAnswer: 14641011","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 22105925*m**4 + 39344524 wrt m.\nAnswer: 88423700*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 628\/1857 + -3\/619. Let j(k) = 2*k**3 - 3*k**2 + 5. Let n be j(4). Let i = n + -423\/5. Which is the third smallest value? (a) w (b) i (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 16*g + 486. Calculate k(-147).\nAnswer: -1866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -68. Let p = 22.42 - -0.58. Let w = p + g. Which is the closest to w? (a) 0.3 (b) 0.1 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11555 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16274 - 16274 + 232*x**2 - 2*x**3.\nAnswer: -2*x**3 + 232*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/2? (a) -0.3 (b) -5 (c) 4 (d) 31 (e) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hbk when three letters picked without replacement from khhabhahbzhh?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 9*v + 6 - 6.\nAnswer: -8*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*r**3 - 8*r**3 + 34*r**3 + 53*r**3.\nAnswer: 157*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 521 = 17*a + 640 for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*21\/12 - -3. Let d = -0.385 - -0.015. Let t = d - 0.03. Which is the closest to 2? (a) -0.2 (b) t (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 47\/4 of a tonne?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 3)*2 + 1576\/985\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1797)\/(-9) + (-1)\/(-3). Let w be r\/(-12)*3\/(-2). Suppose -4*m = m - w. What is the smallest value in -4\/5, m, 3\/7?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**4 + 5*k**3 - 2944 - 75*k + 2950 + 79*k as q*k**2 + j + g*k**4 + l*k + f*k**3 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1273, -2851, -4429, -6007, -7585?\n\"Answer: -1578*v + 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 102. Let a(q) = q**2 - 293*q - 1479. Calculate the remainder when d is divided by a(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7156 + 7155. Let g(m) = 177*m**2 + 2. What is g(k)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5852\/152*((-240)\/396)\/(30\/(-108))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 118231?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 965*t - 6402 + 14868 + 39784 = 0 for t.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -28983885\/16 or -1811494?\nAnswer: -1811494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -771013 (base 9) to base 13\nAnswer: -1314c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 7:43 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -53351*x**3 + 23*x + 49 + 53350*x**3 + 8 + x**4 as k + l*x + v*x**2 + r*x**4 + n*x**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.1, 24\/7, -5, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k - 10. Suppose 0 = i - 3*i + 24. Let c = i + -6. Let p be z(c). Solve -p*m = -m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 30 = 0, 0 = -3*u + 8*u - 2*k - 8955013. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-21)*a\/(a**(5\/8)\/a) assuming a is positive.\nAnswer: a**(-157\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 14527 (b) 1\/3 (c) -2 (d) 2 (e) -3 (f) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 1312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 0, 16*c - 15*c + 4*v = 5 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 303.\nAnswer: -2\/303","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15207 + -107.40307. Let x = -107 - n. Let u = -0.25247 + x. What is u rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.4 (b) -1 (c) 0.6 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12285 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41.68058 and 2?\nAnswer: 83.36116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 3. Let d(g) = g**2 + g - 2. Calculate -3*d(u) - 2*l(u).\nAnswer: -u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*h = -64*h + 63. Suppose -36 = 2*x - 4*t + 2, -t + 2 = 0. Calculate the remainder when 72 is divided by (h - 0)\/((-9)\/x).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1681 - -13.2.\nAnswer: 13.3681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*w**3 - 15 - 17*w**3 + 3*w**5 - 8*w**2 - 16*w**3 + 2*w wrt w.\nAnswer: 60*w**3 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -40 - -128. Solve 58 + 60*i - w*i**2 + 6*i**2 + 84*i**2 = 0.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 5*h - 48, 29 = -4*m - 5*h + 98. What is the remainder when m is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3353*f = -3416*f - 756 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.03 - 0.33. Let f = r - 0.6995. Round f to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*c + 11*c**2 - 18*c - 16*c.\nAnswer: 11*c**2 - 9*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 440 + -440.289. Let p = 0.049 + l. Let g = -2.24 - p. Which is the second smallest value? (a) g (b) -4 (c) 3 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.027 and 0.3?\nAnswer: 0.0081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3))**(-9\/2) assuming s is positive.\nAnswer: s**(27\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.149708 decades in years?\nAnswer: 31.49708","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6273 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/12)\/((-18)\/(-27))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-17)\/(j*j*j**(4\/9)*j))\/(j**(17\/3)\/j**(-2\/17)) assuming j is positive.\nAnswer: j**(-4013\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 588665 = 14*l + 28*l + 35*l. What is the thousands digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -85.\nAnswer: -8.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l**2 + 125*l + 120*l + 70*l**3 - 488*l + 118*l + 127*l.\nAnswer: 70*l**3 - 11*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 15332084 to the power of 1\/4, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 + 26*v**2 + 19*v**2.\nAnswer: 38*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.106 minus 128.98973?\nAnswer: -129.09573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.047 >= 5.693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Let u be r\/(-5) - 2\/5. Let y(x) = x**2 + x. Give y(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-9\/4))**0 assuming j is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3196 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - 14 - ((1 - 2) + 1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(17\/4))**(1\/9)\/(v**10\/(v*v**(-7\/9))))**(-10) assuming v is positive.\nAnswer: v**(1675\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = m + 13. Put m, 3, -3 in decreasing order.\nAnswer: m, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 4*c - 66. Calculate the remainder when 32 is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.08 - 19.68. Let x = p + 44. Round x to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 3790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 16 = 4*s, -4363*s + 4362*s = 35*x + 155 - 20 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -2*u**2 + 9*u - 1. Suppose g = -3, -c - g + 6*g = -18. Let o(w) = 2*w - 4. What is c*t(h) + 7*o(h)?\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 2*j - 686, 6*s - 4*j - 1751 = s. Let f = s - 693\/2. Which is the closest to -13? (a) -4 (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 2.5. Let s(z) = z. Let d be s(0). What is the third smallest value in 2\/9, d, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, 192, -0.3, -6, 1\/20?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 90.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*i - 12 + 7)*(10*i**3 - 12*i**3 + 5*i**3).\nAnswer: -6*i**4 - 21*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of -8\/5*s**5 + 0*s**3 - 37\/2*s**2 + 25 + 1\/3*s**6 + 0*s + 0*s**4. Find the second derivative of w(x) wrt x.\nAnswer: 40*x**3 - 96*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 5*k**2 - 4*k**2 + 12408 - 12394. What is c(10)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 119, 271, 525, 881, 1339, 1899, 2561?\n\"Answer: 51*n**2 - n + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 5*n**2 - 7*n - 2. Let u be a(-3). Let i be -2 + 2 + -1 + 5. Sort u, i, 0.\nAnswer: 0, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81829300 or 81829295?\nAnswer: 81829295","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14354187 and 5883.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26451254 and 316.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147406 - 147406 = y - 3*x, 0 = 3*y - 3*x - 24 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*v**3 + 0*v**3 + 2*v**4 + (-4*v + 0*v + 5*v)*(0*v**3 + 0*v**3 + v**3) + 16*v**4 + 366 - 366.\nAnswer: 19*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*sqrt(432)*-1*4 + -4 + (sqrt(432) - 6*(-2 + sqrt(432) + sqrt(432)))*4)**2.\nAnswer: -63168*sqrt(3) + 1356961","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -60 + 5?\nAnswer: -5b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-107*p - 190*p + 55*p)*(-207*p**3 + 207*p**3 + 49*p**4).\nAnswer: -11858*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4278477.\nAnswer: 3, 7, 19, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -67*x**2 + 7101*x + 109. What is o(106)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 160 and 348.\nAnswer: 13920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1118383, -1118384, -1118385?\n\"Answer: -m - 1118382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -20566 - -463.19?\nAnswer: -20102.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 217034 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24*c**3*t**3 - 5116*c**3*t + 7896*c**2*t - 2*c*t**3 - 2*c*t - 2774*t**3 + 2*t + 1 wrt c?\nAnswer: 144*t**3 - 30696*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 124070, -0.93?\nAnswer: 124070","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d + 4. Let c = 310 + -591. Let f = 290 + c. Determine q(f).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**5\/4 - 1134*y**4 + 1700439*y**3\/4 + 5549049*y**2\/2 - 69129720*y = 0. What is y?\nAnswer: -16, 0, 10, 759","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1130211 + -1311?\nAnswer: 1122300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5059182 to the nearest integer?\nAnswer: 2249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s**5 + 780*s**4 + 720*s**3 - 8570*s**2 - 6885*s + 13950 = 0.\nAnswer: -155, -3, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 157783 to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d - 2. Let a be (2 + -1)\/((-3)\/18). Let k be q(a). Solve j = k*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5154, 25427, 68056, 140277, 249326, 402439, 606852?\nAnswer: 869801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7398 = -2*k - 590. Suppose -4*g + k = -4*b, 848 = -b - 0*g - 2*g. What is b rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.1 - 16. What is the nearest to s in -0.5, -1, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((3 - 2)*4)\/1. Let y be 0 + (-6 - -6) - -9. Solve y*d - s*d + 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(972)*2 + sqrt(12)))**2 + (sqrt(7) + (0 + sqrt(7))**2*-1)*6.\nAnswer: -15155\/361 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 642402 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 53*v - v**2 + 30*v + 21*v - v**3 to s + m*v**3 + y*v**2 + q*v and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5640*m**3 - 7*m**2 + 29*m + 97. Let i(n) = 5639*n**3 - 6*n**2 + 25*n + 96. Let y(o) = -7*i(o) + 6*p(o). What is the second derivative of y(h) wrt h?\nAnswer: -33798*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121365 - 24975 = 27*z. What is the hundreds digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -770*y**2 - 7592*y + 1091. Give f(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3*(0 + sqrt(768)) - (sqrt(768) - 2*(sqrt(768)*-1 - sqrt(768)))).\nAnswer: -32*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 87458 and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 1629 + 503 = 3*m. What is the smallest common multiple of m and 286?\nAnswer: 11726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/3)*a*a**(3\/4))\/((a*a\/a**1*a)\/(a*a*a*a\/(a*a**(-1)\/a)*a*a)) assuming a is positive.\nAnswer: a**(89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3413228940 to the nearest integer?\nAnswer: 58423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = -7*d - 2577. Let j = d + 360. What is the remainder when 75 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 1047717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12, 39, 94, 183, 312, 487, 714?\nAnswer: 999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**14\/(y**(-1\/14)\/y))**(-43) assuming y is positive.\nAnswer: y**(-9073\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 34*g**2. Let y(c) = 1819 - 4*c - 1819. What is y(h(d))?\nAnswer: -136*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 27941?\nAnswer: 279410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -1626000 to the nearest one hundred thousand.\nAnswer: -1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/((-3)\/2) - 2. Suppose 0 = 4*g + 15 - 55. Sort t, g, -3 in ascending order.\nAnswer: -3, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -1 (b) -8 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -3, 178 in descending order.\nAnswer: 178, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 5115.\nAnswer: 2\/5115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*a**3 + 0*a + 0 + 4\/11*a**2 + 1\/11*a**5 - 3\/11*a**4.\nAnswer: a**2*(a - 2)**2*(a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*s = 1341 - 1399, -181 = -4*c - s. Solve c*y - 1 = 47*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -521885 (base 10) in base 7?\nAnswer: -4302350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9480 - -9688.56. Let p = -204 + r. What is p rounded to 1 dp?\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 638 - 413. Let q(g) = g + 11. Let h be q(-3). Let b(p) = -2*p**2 + 16*p + 25. Let s be b(h). Calculate the highest common divisor of u and s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10646 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/24 + 2\/16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1101011100111001 (base 2) to base 14\nAnswer: 16117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27576 - 0.6.\nAnswer: 27575.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -174 + 177. Suppose -5*n + 5 = -h - 2*h, 12 = 3*n. Suppose 0 = h*o + 3 - 3. Solve g - z*g = o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14*q*t**3 + 5*q + 2*t**3 - 86 with respect to t.\nAnswer: -42*q*t**2 + 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -49 + (32 - -1)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 990*o - 314 - 14868 = 586*o + 9058 for o.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 434219376 to the nearest integer?\nAnswer: 757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) -0.1 (b) 0.15934 (c) 5 (d) 2 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99*k + 80*k - 198*k.\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10455906 to the nearest integer?\nAnswer: 3234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/242512 and 111\/322.\nAnswer: 1697584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c4708c - 4?\nAnswer: -c47091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (9 - (-7 - -8)) + (9 - 15) + -10\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(2 + -4 - -1). Let q = 76 - 267. Let y = q + 193. Solve -14 = 3*m + 5*g, y*m + l*g - 6 = -14 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 + 5*q**2 - 8*q - 7. Let w be u(-6). Suppose 2*o - 3*d = 46, 2*d = -w*o - 56 + 190. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 9)*(4 - 4 + i - 2 + 2 + 2*i + 2*i - 3*i + 2*i + (2 + 0 + 0)*(4*i - 4*i + i) + 3 - 3 + 2*i).\nAnswer: 64*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 182 - 181. Let x(t) = -4*t**2 - 3*t - 2. Let l(m) = m**2 + m - 1. Give v*x(k) + 2*l(k).\nAnswer: -2*k**2 - k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7600? (a) 0.9 (b) -67 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 288 - -231. Let q = 537 + y. Let x be q\/21 - (-2)\/(-7). Calculate the greatest common divisor of 20 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.026 and 10.6.\nAnswer: 0.2756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.524 and -318.\nAnswer: -319.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.04, -15, -0.3, -12, -2\/11?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssiiisvtvvvs. What is prob of sequence is?\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, v: 5, p: 1, h: 2}. What is prob of picking 2 v and 1 o?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 9572*f - 249573. What is s(26)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 519, 1986, 4431, 7854, 12255, 17634?\n\"Answer: 489*c**2 + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 4. Let y be 63 + -67 + 0 + (-2 - -4). Let k be c*(0 + y\/(-22)). What is the second smallest value in 30, k, -2\/5, -4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105 - -108. Find the second derivative of 2 - 2 - 147*b**l + 149*b**3 - 15*b**2 - 47*b wrt b.\nAnswer: 12*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 130 = -33*r + 30*r, 0 = -2*m - 3*r + 142. Solve 57*g - m*g + 55 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -18 - 371*m**4 - 96*m**2 + 33*m + 374*m**4 + 87*m**2 - 9*m**3 = 0?\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2\/153 - -292\/1071. Let p = 1831 + -1833. What is the second smallest value in 9, -3, h, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -443890*h - 443883. Determine w(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n - v - 12, 2*n + 13*v - 9*v + 48 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 261 + -42. Let k = d - 138. Let a be 7 + (1 - (2 + -3)). What is the greatest common factor of a and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 416 - 340. Let j(p) = 2*p**2 + 9*p - 328. What is the least common multiple of j(14) and i?\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 64222317 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 93726744703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 93577, 187154, 280731?\n\"Answer: 93577*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - t + 33 + 5 as i + q*t and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2. Let n(b) = -b**3 + 9*b**2 - 4*b - 6. Let v(u) = -4*l(u) - n(u). Is v(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-62)\/651)\/(3\/7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1000111010001 (base 2) to base 13\nAnswer: 20cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 - 1 + 4)*(0*k - k + 3*k) + (-906 + 1826 - 914)*(-5*k - k + 4*k) - 4*k - k + 3*k)*(0 + 1 - 3) as c + a*k and give a.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by 22.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, z: 7, w: 7}. What is prob of sequence iww?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-231)\/(-11)*(-92)\/92.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (((sqrt(105) - sqrt(105)*2)\/sqrt(5))\/(-2*sqrt(448)))**2 + ((-1 + sqrt(432))**2 - (sqrt(3) + sqrt(432)*-2))*2.\nAnswer: -2*sqrt(3) + 220675\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g**3 + 6*g**2 - 2*g + 595. Does 18 divide a(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 8*p + 99. Let h(v) = v**2 - 9*v + 7. Let u be h(p). Does 12 divide u*4*(-3 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of -1\/12*t**4 - 2*t + 0 - 5\/2*t**2 - 5\/6*t**3. Let f be h(-5). Let q(x) = -x**2 - 7*x - 4. Calculate q(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439211889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from voooouffv. Give prob of sequence ofu.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 22 - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - ((-2 + -4 - -16) + 2)) + -5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(104)*2)\/(sqrt(800)*-1 - sqrt(800) - sqrt(800) - sqrt(800)) - (-4*sqrt(195)\/sqrt(5))\/(sqrt(192)*2).\nAnswer: 3*sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + 6*i + 6*i + 6*i as b + v*i and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8113 - 925025\/114. Find the common denominator of -63\/95 and y.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9880147021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**3 - 5*v**3 - 15*v + 8*v.\nAnswer: -3*v**3 - 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 582991*d. Let g(n) = -n**2. What is y(g(s))?\nAnswer: -582991*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 212.9666m in nanometers?\nAnswer: 212966600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 73469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11374823?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-5)\/20*8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxkubxnbxxgg. What is prob of sequence ku?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(4\/7)\/c)*c)**(8\/7))**11 assuming c is positive.\nAnswer: c**(1496\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -733367 divided by 6.\nAnswer: -733367\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 251134 and 19086184?\nAnswer: 19086184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(170) - (sqrt(170) + -1*sqrt(170) - sqrt(170))*-5) + sqrt(170)))\/(4*sqrt(20)\/sqrt(50)) + -1.\nAnswer: -15*sqrt(17)\/2 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174061445 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1001?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 58*l**2 - 165*l - 89. What is y(-55)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 164*j - 164*j - 270*j**4 + 4*j**4 + 1 - 1 + ((-2*j**2 - 3*j**2 + 4*j**2)*(j**2 + 3*j**2 - 6*j**2) + 7*j**4 - 3*j**4 - 3*j**4)*(2 + 3 - 6).\nAnswer: -269*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 divided by -1?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/(-6))\/((-27)\/(5589\/(-460))). Which is the fourth smallest value? (a) 8 (b) m (c) -1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t. Let v(w) = -13 - 15 - 27 + 55 + 4*w. Suppose 2*f + 27 = 1. What is f*j(g) + 6*v(g)?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 38 = c - 33, -2*m + 5*c - 151 = 0. Let v = -70 - m. Let o be 1325\/(v + (-45)\/(-20)). What is o rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 43, 39, 35, 31, 27, 23?\n\"Answer: -4*z + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*o + 42, -5*k = 3*o - o - 28. Suppose 0 = b + 2, -3*t + 2*b - 9 = -91. What is the remainder when t is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 28*p**2 + 23*p + 170. What is the ten thousands digit of b(-28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + sqrt(80) + 0 + -1 + 4)*3 + -5 + -1*sqrt(80) + -1 + sqrt(80) + 0 + -4)**2 + -1.\nAnswer: -48*sqrt(5) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - 6*f - 4*f)*(-3*f - 5 + 5) - 138*f + 138*f + 2 + 63*f**2 to the form q + t*f**2 + b*f and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*a + 48*a - 57*a + 763*a in the form y + i*a and give i.\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-152)\/10 + 35\/175. Let m be (-10)\/(-3) + (-10)\/w. Solve 0 = 2*u - i + 9, 4*i = -4*u + m + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 + 21. Give y(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51591279 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**4\/4 - 4*p**3\/3 - 5*p**2\/2 + p - 28. Calculate x(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 3)*(-7*j + 2*j + 4*j - j**4).\nAnswer: 4*j**4 + 4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(-1) + (5 + 0)\/(-5). Calculate the highest common divisor of 300 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l**2 + 15*l + 2. Let h be r(2). Suppose 3*x - 24 = -4*s, x - 18 = 5*s - 3*s. Is 2450\/h - (-9)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 415517998?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -4*s. Suppose -8*h + s = -8. What is the first derivative of 12 - j**3 - 6 - h wrt j?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117) + ((-1 + sqrt(117) - sqrt(117)) + sqrt(117))**2))*6 + (sqrt(117)*-1 + -2)**2)*4.\nAnswer: -2348 + 192*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 952841 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0.22. Let c = 0.22 + z. What is the nearest to 1 in 1\/6, c, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -6, 2*s - s + 2*w = 11. Let g = -9 + s. Solve -5*v = -v + g for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/2616 and 123\/927160?\nAnswer: 303181320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + sqrt(17) + -1.\nAnswer: -4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 13*r + 10. Let n be f(-13). Let o = n + -10. Suppose o*g - 3*g = -24. Is g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g - 46. Let k be u(11). What are the prime factors of 9\/(-54) + k + (-919)\/(-6)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1177 = 3*j + 4*k, 2*k - 561 = -j - 166. Let f be 175\/5 - -4 - -4. Calculate the greatest common divisor of f and j.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/19, 1\/2, -2, 0.2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the third derivative of -q**4\/8 + 3*q**3 - 5091*q**2. Let i(j) = 12*j**2. Give i(l(n)).\nAnswer: 108*n**2 - 1296*n + 3888","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 355195*m**3 - 23950*m**2?\nAnswer: 2131170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + 4*sqrt(2000))**2 + sqrt(20) - sqrt(20) - (3*-1*sqrt(20))**2.\nAnswer: 33440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 0. Sort q, 2\/5, 2 in decreasing order.\nAnswer: 2, 2\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**3 - 7*g**2 - 10*g + 19. Let u be w(8). Determine m so that -6*m**u - 14*m**2 - 891*m - 549*m + 768 - 175*m**2 = 0.\nAnswer: -16, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -7\/415615?\nAnswer: -7\/415615","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 5*y**2 + 2*y - 6. Calculate the least common multiple of (-5)\/(-4 + 6\/4) and k(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 - 8 = 6*d. Suppose 3*q - d*z - 75 = -5*z, 2*q - 4*z = 20. Let n = q - -17. List the prime factors of n.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 102?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -i**3\/6 - 137*i**2 + 824*i\/3 = 0.\nAnswer: -824, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58349, 118578, 178807, 239036, 299265?\nAnswer: 359494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 123905 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 15*i**2 - 57*i + 18. Calculate d(-8).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of 55*c**3\/6 + 17*c**2\/2 - 30*c - 26. Let x(s) be the first derivative of f(s). Is x(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.071 + -0.171. Let m = 0.1 - 0.1. Let r be (17 + -12)\/(-2 - -3). Which is the fourth smallest value? (a) k (b) m (c) -2 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ds when two letters picked without replacement from sds.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 565183176 divided by -6\nAnswer: -94197196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -2) + 33 + -56 + 17?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2. Let a(s) = -83*s**2. What is c(a(y))?\nAnswer: -13778*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*b**4 - 24*b**4 - 19*b**4 + (0 + 0 + 2*b)*(b - b**3 - b) to the form c*b**4 + f*b + w + d*b**3 + r*b**2 and give c.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-3))\/(8\/36). Let v(t) = -t**3 - 5*t**2 - t + 4. Let f be v(a). Let w be 4\/22 - (-2)\/f. Solve 5*h + w = -25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8712a (base 16) to base 3\nAnswer: -1001002221001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**3 + 13*t + 14*t - 27*t.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254203 is divided by 368?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-14) + (-411)\/(-21). Calculate the highest common divisor of h and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -271*v**2 - 96*v**2 - 1173*v**2 - 318*v**2 - 376*v**2 to m*v**2 + p + c*v and give m.\nAnswer: -2234","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -395 = -7*t - 346 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 520822 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3333.6104 - -3338. Let v = a - 4.34. Round v to three dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**3 - 82*g**2 - 5474*g - 5390 = 0.\nAnswer: -35, -1, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1194 = 108*f + 6 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3021.929 and 5.\nAnswer: -3016.929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 1400*u**2. Let z(l) = l - 32. Calculate z(s(p)).\nAnswer: 1400*p**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.060523 * 3497\nAnswer: 211.648931","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4 - i**2 + (-2*i + 0*i + 0*i)*(-2*i + 2*i + 2*i) + 5*i**2 - i**2 - 3*i**2 - 78*i**2 - 1703 + 1703.\nAnswer: -82*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2704054.\nAnswer: 2, 17, 79531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1476947.\nAnswer: 59, 25033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/9*66\/(-8). Calculate the highest common divisor of 275 and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -36 - -39. Suppose -x - 3*m - 3 = 1, 0 = -5*x - r*m + 16. Suppose -h = 2*n, h - 3*n + n - 8 = 0. Solve x*d - 4*o = 8, 4*o + h = 2*o for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -7*c**4\/6 - 39*c**3 + 34*c**2 + 57*c + 1. Factor l(b).\nAnswer: -2*(b + 17)*(7*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10533 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 5.6. Let l = 0.2 + v. Let u = 0 + l. Put u, -0.1, 0.3 in decreasing order.\nAnswer: 0.3, -0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2230.15 + -2230. Let i = 0.57 + -0.2. Let u = i + v. What is u rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.7 - 2.3. Let g = 9.68 + h. Let n = g - 0.06. Round n to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 - 2)*(3*x + x - 6*x) - 5*x + 2*x + 2*x)*(1 - 2 - 1 - 5 + 5 + 2 + 3 + 2 - 4 - 3 - 1 + 0 + (4 - 6 + 0)*(2 + 2 - 2) - 4 - 6 + 11).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 158*q + 4774. Let d be k(-28). Let w be 2\/2*0 - 0. Suppose 18*m - 23*m + d = w. What are the prime factors of m?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.419775474 plus 5469.9?\nAnswer: 5469.480224526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -4 + (-5 - -5) + 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -68011 > -68105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 a factor of 1762818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q + 56*q - 20*q - 3*q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 54 = -2*l, 5*l - 2*w = 61 + 53. Suppose 3*c + 0*c = l. Suppose -6*i - 4 = -c*i. Solve -i*y = 2*y - 20 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51, 232, 537, 966, 1519, 2196, 2997?\nAnswer: 3922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 j when two letters picked without replacement from dlsdjjjljpslpljjp?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 15 - (4 - (-3 - -3))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 20, 2, 53, -8, 3 in descending order.\nAnswer: 53, 20, 3, 2, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-1))\/(-3)*10\/(-8)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49272194?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48*s**3 - 10*s**2 + 12*s**2 + 21 - 47*s**3 + (2*s - 2*s - 2*s**3)*(4 - 2 - 3).\nAnswer: 3*s**3 + 2*s**2 + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/7 - 7933978*p\/7 + 2266852 = 0.\nAnswer: -3966991, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -7*q - 25. Let f(m) = -m - 4. Suppose 12*d = -p + 54, 0 = -2*p - d - 0 - 7. What is p*k(l) + 39*f(l)?\nAnswer: 3*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/18 and 33\/29579500?\nAnswer: 266215500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*z = 2*z - 3, 5*f = -5*z + 15. Let g = -7 + 6. Let s(i) = i**2. Let m be s(-1). Which is the nearest to g? (a) m (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1810, -1808, -1806, -1804?\n\"Answer: 2*d - 1812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 18 = 4*o - 14, c = -o - 6. Let t = c + 4. Let a be -2 - -1 - 1\/t. Are 2\/9 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2295 is divided by 750?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12*(-6)\/72*-15. Let h(g) = 3*g + 1. Let t be h(-2). Let d = p + t. What is the least common multiple of 7 and d?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4839805?\nAnswer: 5, 967961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from woodyouotodod. Give prob of picking 1 y and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, n: 1, p: 1, x: 5, k: 1}. Give prob of picking 1 n and 2 i.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 352 = 4*o - 4*c, 3*c - 78 = -o. Suppose 6*f + 2*f = o. Let t be 6114\/f + (-2)\/(-3). Round t to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.43*-49894\nAnswer: 21454.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24068\/1641*12*1\/44. Factor -2\/5*l**3 + s - 8\/5*l**2 + 14\/5*l.\nAnswer: -2*(l - 2)*(l + 1)*(l + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 7, 3, -5, -17, -33, -53?\n\"Answer: -2*c**2 + 6*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 11*r**3 + 2*r**2 - 17*r - 17. Let l(k) = -4*k**3 - k**2 + 6*k + 6. Let n(p) = -8*l(p) - 3*o(p). Give n(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -2*l**2 - 12*l + 27. Let k be (-1)\/((-102)\/(-20) + -5). Let b be v(k). Let a = 75 + b. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*d + 15 = 0, -6*p - 6 = -4*p - 4*d. Suppose 3*b = p*q + 571, -5*q - 190 = -5*b + 745. What are the prime factors of b?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 0*x + 2. Let m be (-6 + 1)\/(-2 + x). Let s(r) = -2*r + 1 - 3*r**2 + 1 + 2*r**2 - m. Give s(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40713 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**4\/7 + 30077*j**3 + 10182744*j**2\/7 + 3170332*j - 19382928\/7 = 0. Calculate j.\nAnswer: -46, -3, 2\/3, 70228","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.037 * 4.\nAnswer: -0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/9 - (-3116)\/(-738).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8862 is divided by 379.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -273*z - 3 + 275*z + 1 + 5*z**3 to t + d*z**3 + i*z + j*z**2 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 120 = 2*b - 132, 6*b - 2*n - 28 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 262, -3, -1538 in decreasing order.\nAnswer: 262, -3, -1538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/9 and -113\/54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8*s - 3*s + 406 = 0, -u + 94 = -5*s. Calculate the remainder when u is divided by 36.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10 + 10 + 2*n**3 + (6 + 0 - 1)*(0*n**2 + 0*n**2 - n**3))*(9*n + 23*n - 16*n) to the form g*n**4 + b*n**3 + f*n + p + m*n**2 and give g.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/16625 and 59\/1296500?\nAnswer: 172434500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 + 3*c**2 + 4*c**4 + (-c**3 - 3*c**3 + 2*c**3)*(0*c - 5*c + 4*c) - 2*c**2 + 6*c**4 + 2*c**2 to m + r*c**4 + a*c + h*c**2 + k*c**3 and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9067825834 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1059 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -151 + 151. Let c = -3 + 6. Suppose f*d = d - c. Solve 2*w - 5*b = -w, -d = -b for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/14346846 and 35\/1360017.\nAnswer: 731689146","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 120409375 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9029*b + 9149*b - 2760 = 0 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(77)*1)\/sqrt(7)*-6)**2 + sqrt(11) + 1 + sqrt(11) + 2 + (sqrt(11) + sqrt(55)\/sqrt(5))**2*-6.\nAnswer: 14*sqrt(11) + 136","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/14)\/(1065\/2982).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 2*j - 127, 0 = v + j + 2*j + 142. Let h = -70 - v. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 35*n - 387. Give u(10).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 403438620.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - z = -66. Suppose -3*w = -z + 2. Suppose -w*q = 3*q - 90. Calculate the highest common divisor of q and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-30\/13)*x))\/x**(-22\/9))\/(x**39*x)**30 assuming x is positive.\nAnswer: x**(-139961\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**2 - 9*c**2 - 7*c**2 + (-238 + 238 - 6*c)*(0*c + c - 2*c) + 3 - 3 + 10*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + 0 + sqrt(931)*1 - (2 + sqrt(931) + 2 + 4)) + 2)*2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1004 (base 5) to base 9.\nAnswer: -153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 2302.202433.\nAnswer: 2305.202433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -59 in 0.4, -5, -458, -13.3?\nAnswer: -13.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-1)\/(-2)*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1818 and 10100.\nAnswer: 90900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -671 or -674?\nAnswer: -674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/12 and 161\/(-920)*65\/2.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/((-35)\/10 - -3). What is the highest common factor of k and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -2*u**3 + 11*u**2 + 15*u - 95. Let g(c) = -3*c**3 + 25*c**2 + 30*c - 187. Let b(q) = -3*g(q) + 5*p(q). Determine b(-19).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4163 - 4149) + 3 + 2 + 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024 rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26100208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15\/40 + (-129)\/24 - -213 is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 421470, 421482, 421494?\n\"Answer: 12*o + 421458","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26787?\nAnswer: 3, 8929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -354 - -709\/2. Is 65 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a milligram in micrograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -258649997*a**3 + 83946718 wrt a?\nAnswer: -775949991*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.512 + -0.112. Which is the smallest value? (a) o (b) -223 (c) -2\/13 (d) -1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 5) to base 13\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -2*b + 10, -a + 13 = 4*b - 0*b. Suppose 0 = -b*f + 7*f - 32. Suppose 0 = n - f - 3. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1633 divided by 377092?\nAnswer: -1633\/377092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -8, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 35289325?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5*k**3 - 1395011*k + 9229958?\nAnswer: 15*k**2 - 1395011","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 7*u**2 + 27*u - 7. Is v(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -281100 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*w = -0*x + 26, -5*w + 24 = 2*x. Let g = 14 + -8. Solve -4*a = -2*t - 4, -4*a + g = 4*t + x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - -1 - (224 - 215)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 42009536*d*m + 32515360*d wrt m?\nAnswer: 42009536*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6760 + 14?\nAnswer: 6774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6348 and 372.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 122*k - 208*k + k**2 + 3*k**2 - 148*k as x*k + b*k**2 + o and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1646, 3298, 4948, 6596?\n\"Answer: -s**2 + 1655*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -894*i**5*t**2 - 40*i**4*t**3 + 2*i**2*t**3 - 74*i - 2*t**3 + 43*t wrt i.\nAnswer: -53640*i**2*t**2 - 960*i*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oott when four letters picked without replacement from euetouueuo.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -2*q - 5. Suppose 3*h = 2 + 37. Let s = q + h. Solve -3*f = -2*g + 2*f, s*g = -f - 22 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 262154439 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 5*s**4\/6 + s**3\/6 - 2*s**2 - 5*s. Let w(h) = -21*h**2 - 2*h + 9. Let n = 15329 - 15338. What is n*o(x) - 4*w(x)?\nAnswer: -6*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -4*u**2 + 22. Let g be x(-9). Let p = g + 595. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1313697, 2627391, 3941085, 5254779?\n\"Answer: 1313694*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 278 + 53?\nAnswer: 30b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.11 - 25. Let z = -13.11 + y. Let v = 13.5 + z. What is the biggest value in -0.2, v, -0.3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/9280 and -21\/12760?\nAnswer: 102080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -586 - -603. Let q be (6 + -7)\/(1\/(-2)). Let c = k - q. Solve -c = 3*z + 2*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*i + 4, 0 = 3*h - i - 4. Let y = 0.607 - 0.107. Which is the biggest value? (a) y (b) 5 (c) h (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 178, 161, 130, 79, 2, -107?\n\"Answer: -i**3 - i**2 - 7*i + 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -37*d**2*y + 38609*d**2 - 266*d*y - 3 wrt y.\nAnswer: -37*d**2 - 266*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1447*j**3 + 2 - 1164*j**3 - 2 + 2608*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*1*-1 - 6*1*sqrt(130))\/(-1*((sqrt(640) - (sqrt(640) - -1*sqrt(640)) - sqrt(10)) + sqrt(160)*-6)).\nAnswer: -7*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3892 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: Is 81241177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -8440000 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 - -1) + (7 - 8). Suppose 5*o + 2*j = -132, -5*o + 3*o = 3*j + 44. Let f be ((-189)\/o)\/((-3)\/(-4)). Put 5, f, m, 0 in descending order.\nAnswer: f, 5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 63795?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(320))**2 - sqrt(320)) + -5)*5 + (2*sqrt(1440)\/sqrt(8))**2 + 3.\nAnswer: 280*sqrt(5) + 2378","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 4. Suppose l = 3*d + 2*d. What is the remainder when 28 is divided by -1*(0 + -15 + d)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - 6*s**2 - s - 2. Suppose -2*l = -o - 12, 0 = 4*o - 0*o - 5*l + 39. What is the smallest common multiple of 8 and d(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 438 divide 17082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddtdzzzztdtttfzzttd. Give prob of picking 1 f, 2 d, and 1 z.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -313*r + 95*r = -4796 for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9972)\/27)\/1*-18.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 1. Let b be 2 + -4 + 0 + 0. Let f be b + (1 - (1 + 3)). Sort -1, d, f in descending order.\nAnswer: d, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -49*o**2 - 371*o**2 - 14 + 18 in the form b*o**2 + j + p*o and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/7 - (-7)\/49. Let m = -1 + q. Solve -2*l + 10 = 5*o - 3, 3*l = -m*o + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2, 16, 36, 58, 82, 108?\n\"Answer: f**2 + 15*f - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17634759*m - 18668939 wrt m.\nAnswer: -17634759","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 100 = -3*q. Let u be 1200\/525 - (-4)\/(-14). Suppose -2*t = -5*d - 7*t + 90, 8 = u*t. Calculate the remainder when q is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 5*p**2 + 4*p + 13. Is 9 a factor of g(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g - 1. Let z be r(3). Suppose -2 = f - z*j, -3*j + 6*j - 12 = -3*f. Let h(d) = 3 - d**2 + 2 + f + 5*d. What is h(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -75898.\nAnswer: -5\/75898","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of -437*g**8\/56 + 53*g**4\/4 - 400*g. Find the third derivative of r(n) wrt n.\nAnswer: -52440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 5:04 PM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5144798*k**2*o**2 + 2*k*o**2 + 19*k*o - 79*o**2 + 17 wrt k.\nAnswer: -10289596*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 39 + -39. Suppose h*t - 55 = -5*t. Let j(s) = -s**2 + 12*s - 14. Let l be j(t). What is the second biggest value in l, 0.4, -1, 5\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 0 + -1*sqrt(19).\nAnswer: -sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9.1 + 9.3. What is the fourth smallest value in 1\/4, 0.3, -3\/5, k?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 2*f**3\/3 - 51. Let s(o) = o**2 + 17*o. What is t(s(d))?\nAnswer: 2*d**4 + 68*d**3 + 578*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82*g**2 + 77*g**2 + 2 - 2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 689794921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31247662?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 94551 and 63?\nAnswer: 1985571","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -29, 0, -1, 25 in ascending order.\nAnswer: -29, -1, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39915 is divided by 16883?\nAnswer: 6149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14049823 to the nearest integer?\nAnswer: 241","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 4*d - 23, r + 8*d + 33 = 3*d. Let q = r - -41. Solve -5*f = 8 - q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(30)\/(-1*sqrt(6)) + 2*sqrt(80) + (-6*(sqrt(5) + 1 + -2))**2*2)*3.\nAnswer: -411*sqrt(5) + 1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -161, -0.4, 0.11 in decreasing order.\nAnswer: 2\/11, 0.11, -0.4, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/7160 and -27\/1969.\nAnswer: 78760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -868 = 5*t - 36*t. What is the smallest common multiple of t and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*z**3 + 2*z**2 - 551*z - 137573 wrt z?\nAnswer: 21*z**2 + 4*z - 551","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 4*b**2 + b + 1. Let o be f(-4). Let j(q) = -6*q - 9. Let p be j(o). Solve 0*a = -5*g + 3*a + p, -4*g = 3*a - 18 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 16 - 13)*(109 + 11*j - 109) - 2*j - 11 + 11.\nAnswer: -222*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 771663 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-29)\/(i\/i**8) assuming i is positive.\nAnswer: i**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -84*l**3 - 502*l**2 + 11*l - 1. Let u be h(-6). Solve 1 = u*s + 21, 4*s = -n - 18 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 3*p + 4, -3*f - p = 6 - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n - n - 2*n)*(-5345 + n + 48*n**3 + 5345) + 0*n**4 + 0*n**4 + 2*n**4 - n**4 + 4 - 4 + (-n + 2*n - 2*n)*(2*n**3 + n**3 - 2*n**3).\nAnswer: -48*n**4 - n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2154 (base 12) to base 8\nAnswer: -7120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*(c**(-4\/5)\/c)\/c*c\/((((c*((c\/(c\/(c\/c**(5\/6))))\/c*c)\/c)\/c*c)\/c)\/c*c)*(c*c\/(c*c**(-1\/2))*c)**(1\/23))**(-3\/17))**(10\/17) assuming c is positive.\nAnswer: c**(-98\/6647)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22.9 - -22.4. Let h = 18 + 19.5. Let l = h + -37. Which is the biggest value? (a) -2\/25 (b) z (c) l (d) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137 + 119 = -6*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007802223 rounded to 7 dps?\nAnswer: -0.000078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1098*g**2 - 839*g**3 - 963*g**2 - 961*g**2 + 3022*g**2.\nAnswer: -839*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j + 7. What is c(3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3 + 97*z**2 - z + 2 + 104*z**2 - 203*z**2 + z**3. What is p(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-3 - -1)\/(-2). Is (-30453)\/(-6) + m\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 - -5.24. What is s rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 280654 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, f: 7, h: 2, c: 1, y: 1, g: 2}. What is prob of sequence uuu?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k. Let c(n) = -24*n. Let m(r) = 3*c(r) - 14*x(r). Let q(f) = 7*f. Calculate m(q(a)).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 4:15 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1922704 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q + 4*v - 31, -5*q + 7*v - 1 = 3*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 4*h - 32 = 0, -22 = -5*i + h - 0*h. Let s(y) = i*y + 2 - 1 - y**2 + 15 + 2*y**2. Is 8 a factor of s(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8\/3 - -191\/15. Let f = -611\/40 + p. What is the second biggest value in -118, f, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 322 + -355 - (0 - 44)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2671905821 to the nearest 1000000.\nAnswer: -2672000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4\/3 + 4*x**3\/3 - x**2 - 4*x\/3 + 4\/3.\nAnswer: -(x - 2)**2*(x - 1)*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/7 - 320\/(-35). Let v(z) = -z**2 + 5*z + 2. Let f be v(5). Let x(s) = n*s**2 - 11*s**2 + 2*s**f. Let p(m) = -12*m**2. What is x(p(u))?\nAnswer: 144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 2535*h**2 + 5061*h - 2529.\nAnswer: 3*(h - 843)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**4\/7 + 390*n**3\/7 + 226*n**2 + 1986*n\/7 + 796\/7 = 0. Calculate n.\nAnswer: -2, -1, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111412163.\nAnswer: 97, 821, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/h**(-2\/7)))\/h**(-6))\/(h\/((h\/(h*h*h*h*h*h\/h**(-2)*h))\/h))**(-1\/20) assuming h is positive.\nAnswer: h**(87\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -661.\nAnswer: -1\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -30\/53?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 708229, 1416439, 2124631, 2832811, 3540985, 4249159?\n\"Answer: a**3 - 15*a**2 + 708248*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-637)\/(-910)*(-10)\/(-14))\/(9\/684).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**5 + 3*q**5 - 4*q**5)*((2 - 1 + 1)*(0 - 3 + 1) + 4 - 8 - 5).\nAnswer: -26*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/9, -2\/5, -1\/198 in decreasing order.\nAnswer: -1\/198, -2\/5, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19260?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 10*f**3 - f - 33. Let v(j) = 12*j**3 - 4*j - 32. Let t(g) = 5*c(g) - 4*v(g). Let w(h) = -h**3 - 6*h + 18. Determine -6*t(n) - 11*w(n).\nAnswer: -n**3 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + (-1)\/(-2))*(5 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/24)\/((-20)\/6)*2.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/5*(4 - -1). Let i be (1\/3)\/(j - -1). Which is the biggest value? (a) 0.2 (b) i (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*h = -4, x + 2*h = 83. Calculate the remainder when 157 is divided by x.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 39, 36, 35, 36, 39, 44?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -33.3951938 from 0.4.\nAnswer: 33.7951938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 454 + 1d31d?\nAnswer: 1d772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/9*s**2 - 8\/9*s - 8\/9 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/((-24)\/2))\/(2\/14).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -77, 16, -2, 1305, 1 in ascending order.\nAnswer: -77, -2, 0, 1, 4, 16, 1305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1736.955 millennia in decades?\nAnswer: 173695.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1855 + -1776. Solve -14*y = f + 19 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -30, 4 in decreasing order.\nAnswer: 6, 4, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1126178583?\nAnswer: 3, 17, 19, 37, 101, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 + 1 = -u. Let d = -403 - -651. What is the greatest common factor of u and d?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.823292 and -0.2.\nAnswer: -1.023292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4524798?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(sqrt(95)\/(sqrt(15)\/sqrt(3)) + sqrt(19))*5.\nAnswer: -20*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1513 (base 6) in base 11?\nAnswer: -339","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -3\/37, -3.43, -0.027 in increasing order.\nAnswer: -3.43, -1, -3\/37, -0.027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 12\/10)*4340\/372?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1466343, -2932580, -4398589, -5864256, -7329467, -8794108?\n\"Answer: 19*x**3 - 1466370*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2039588 is divided by 185367.\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50\/15*18\/10. Let u(o) = 8*o**3 + 7*o + 6. Let f(z) = 124*z**3 - 6*z + 3 - 8 - 131*z**3. Determine h*f(j) + 5*u(j).\nAnswer: -2*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 612*m - 4582. What is p(7)?\nAnswer: -298","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 3\/8, 50\/17, 5\/2, -5\/7, 4?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000039819 to seven dps.\nAnswer: -0.0000398","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of t**4\/4 - 2*t**3 - 4*t**2 + 7*t - 6. Let h be s(7). Suppose -1\/4 + h*p**2 - 1\/2*p**3 + 1\/2*p + 1\/4*p**4 = 0. Calculate p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**3 - 17147*u**2\/3 + 6982*u - 3808\/3 = 0. Calculate u.\nAnswer: 2\/9, 1, 1904","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -221341, -221201, -221059, -220915, -220769, -220621?\n\"Answer: a**2 + 137*a - 221479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 2\/136485 (b) 2\/13 (c) -2 (d) -2\/11 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17176 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.0808us in hours?\nAnswer: 0.000000065578","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 3 - -4 - -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -919144, -1838284, -2757426, -3676570, -4595716, -5514864, -6434014?\nAnswer: -7353166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-24))\/(-1*(-3)\/84). Calculate the remainder when 47 is divided by ((504\/(-15))\/w)\/(2\/(-10)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8030?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1. Let w(x) = -5*x + 6. Suppose -6 = -5*n + 11*n. Let d be n + 1 + -2 + 8. Calculate d*g(a) + w(a).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/15 of a century?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-3)*(-11)\/(1980\/1200).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*y = 409*y + 41384 + 6326 for y.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.43677 - -0.06323. What is the nearest to p in 4, -1, -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 287359, 287345, 287331?\n\"Answer: -14*p + 287373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7*s + 6\/7 + 2\/7*s**2.\nAnswer: 2*(s - 3)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 + 3*t + 4 + t - 7*t. Suppose 21*o + 19*o + 6*o - 184 = 0. Calculate g(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35922 + -17530. Does 121 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 17*y - 18*y. Suppose -4*a = -4*c - 186080 + 28648, y = c. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 3*h. Let x(n) = -n + 11. Let r(b) = -b + 11. Let l be (6 + 50\/(-5))*(-2 + 1). Let c(s) = l*r(s) - 3*x(s). Give k(c(g)).\nAnswer: -3*g + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1dd3 (base 16) to base 14\nAnswer: -2ad5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of 0 - r + 0*r**3 - 1\/60*r**4 + 1\/10*r**2. Suppose n(w) = 0. Calculate w.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 14\/4)*(-88)\/33.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*b = 13*b - 1036. Calculate the remainder when 108 is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 8, -20, -102, -262, -524, -912, -1450, -2162?\n\"Answer: -4*s**3 - 3*s**2 + 9*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12222 = 2*r - 5*y, 3*y = 9*r - 5*r - 24472. Suppose 7*s - r = -1788. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*u = 2*j - 80*u, 2*u = 5*j - 14. Solve -366 = -j*c - 374 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9525.95 - -9526. Let c be -2 - (-13)\/5 - 1. Which is greater: c or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 3*d + 136, i + 15 - 74 = -3*d. Suppose 23*y - 28*y = 4*a - i, y - 22 = a. Solve 0 = -2*t + 3*q - y, 5*t - 5*q - 17 = -52 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286 and 18693532?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3 + 1 - 4 + c. Does 4 divide v(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99, -198, -297, -396, -495, -594?\nAnswer: -693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/9, 354, -0.3, 2\/5, 4, 0.5, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39274 + 39274 + 58*c.\nAnswer: 58*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 3*d**2 + 3*d - 1. Let i be n(-3). Let s be (-3)\/(-6) - 35\/i. Suppose -125 = -s*j - 41. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9064747 and 113.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 108\/(-351)*(-2)\/4. What is the second smallest value in -1\/7, 0.4, -2, s?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 16321302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -23.80808 + 0.1\nAnswer: -23.70808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*x - 62542 = -57406. Suppose 2*c + 0*c - 216 = 0. Are x and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 + 2 - 2*s - 26*s**2 - 31*s**2 - 233*s**2 - 81*s**2 as l*s + k*s**2 + f + g*s**4 + d*s**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 102, 264, 270, -96, -1050?\n\"Answer: -36*v**3 + 138*v**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1474*b**2*u**3 - 9*b**2 + 22*u**2 wrt u?\nAnswer: -8844*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2\/2 + 32550*k - 65097\/2 = 0. What is k?\nAnswer: 1, 21699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, i: 4}. What is prob of picking 3 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 - -69. Suppose -4*y + 5 - 137 = 0. Let a = w + y. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.1, 0.8, 6081, 0.52?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1136447890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178383 (base 14) to base 10.\nAnswer: 829391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 + 7*r**2 - r - 5. Let o(x) = 2*x**3 + 14*x**2 - 2*x - 9. Let n(h) = -4*o(h) + 9*w(h). Give n(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h. Let r(j) be the third derivative of 0*j + 0 + 0*j**3 - 3*j**2 + 1\/12*j**4. What is d(r(f))?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 - 91 = 6*r. Let z be r\/(-14)*(-133)\/(-38). Let v = z - -2. What are the prime factors of v?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*p + 371*p = 14094 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*l*o**4 + 390*l*o - 8573*l + 59*o**4 + 2221 wrt o?\nAnswer: -16*l*o**3 + 390*l + 236*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 69*a**3 + 2*a**2 - 3*a - 1. Let n(t) = 69*t**3 + 3*t**2 - 3*t - 2. Let h(v) = -3*c(v) + 2*n(v). Let b be h(2). Let u = 803 + b. Does 32 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673487 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026.12 + 150729?\nAnswer: 151755.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, u: 2}. Give prob of sequence juu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*k + 8. Suppose l = -4*v + 18, v + 4 = l + 1. What is the greatest common factor of k and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2991)\/(-997))\/(3*6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 16*l**2. Let i(k) = 7*k - 3. What is i(u(b))?\nAnswer: 112*b**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -2*x, -22*f + 5*x + 30 = -27*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**4 - 10*b**2 - 3. Let t(w) = -4*w**4 + 11*w**2 + 4. Let r(c) = -4*d(c) - 3*t(c). Find the third derivative of r(v) wrt v.\nAnswer: -96*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*g, s + 4*g - 2 = 0. Suppose 5*x = 5*z - 45, -3*z + 5*z + 4*x + 12 = 0. Suppose 5*o - 4*w = 107, -3*w - 91 = -z*o + s*w. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 379 is divided by 31?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.59035 rounded to 3 dps?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 3*y - 1. Let b(r) = -2*r**2 + 21*r + 6. Let o be 63 + -2 + -3 + 6 + -6. Let g be (-9)\/(-27) + (1 - o\/(-6)). Let d be b(g). Determine c(d).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1*21\/27 - -4 and 1 + -1 + 0 + 2044\/(-2744).\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) - sqrt(360)\/sqrt(9))\/sqrt(8) + -4*sqrt(320))**2 - (-2 + sqrt(160)\/sqrt(8) + 5).\nAnswer: -2*sqrt(5) + 5117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 - 58 = 5*o + 5*t, 0 = 5*t + 5. Let u(h) = 18*h**3 + h**2 - h - 1. Let m be u(-1). Let g = m + 23. Solve -g = -o*w - 26 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b + 10. Suppose 2*l - 8*l + 636 = 0. Let w = -104 + l. What is the remainder when q(-7) is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 5:48 AM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.4 <= -2583281?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 254 = 58*y + 69*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.2 + 10.8. Let l = y + -8. Let k = 2775.9 + -2776. Which is the second biggest value? (a) 2 (b) -2\/7 (c) l (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((6*sqrt(11)*-2)**2 + -4 - (sqrt(88)\/(2*sqrt(8)))**2*4).\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*w = c - 155 + 20, -5*w = 0. Solve 2725*r + c = 2716*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17091*m + 17089*m + 1388 = 0. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**3 + 152*s**2 - 1679*s - 116. Calculate k(140).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (15 - -3) + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 124.0507 rounded to 0 decimal places?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 819 + -834. Let r be (l\/(-30))\/(1\/6) + -1. Suppose 0 - 2\/7*w**r + 2*w = 0. What is w?\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 478695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m**3 + 65*m**3 - 195*m**2 + 195*m**2.\nAnswer: 86*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14171744689 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 3, 5, 4\/5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, -1\/78, 72, 0.05?\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 9*d**2 - 4*d - 30. Let p be t(-9). Let j(k) = 17*k + 8*k - 26*k + p. Let l = -75 - -84. Calculate j(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -576*h. Let b(k) = -57*k + 216*k - 106*k - 55*k. Determine b(w(q)).\nAnswer: 1152*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (303\/(-5555))\/((-1)\/(-10))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i - 40. Suppose -h = 2*h - 15. Calculate the remainder when z(25) is divided by h.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/8 + 15\/(-4). Let s(u) = -u**3 - 5*u**2 - 4*u - 1. Calculate s(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4784013, 8, 4 in descending order.\nAnswer: 4784013, 8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 869951?\nAnswer: 869951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -4*f. What is the units digit of (f + 3068\/8)*8\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -0.03 (c) 2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 20 = -4*g. Let q be (-32)\/3 - g\/15. Let h(d) = -d**2 - 15*d + 6. What are the prime factors of h(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 + 65. What is the remainder when p is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 5, 4, -2, 1 in ascending order.\nAnswer: -2, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 741619681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7530121.\nAnswer: 7530121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*j + 29*j + 692 = 0. List the prime factors of j.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((-136)\/12)\/(-17).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 22 - 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -174021 or -3306402\/19?\nAnswer: -174021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33969596?\nAnswer: 2, 8492399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 5*y - 2*d, -2*d + 0 + 1 = y. Suppose 3 + 4 = 7*n. Put y, -4, n in ascending order.\nAnswer: -4, y, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 199*z. Let c(a) = -3*a - 10. Let n(x) = x + 4. Let b(l) = -2*c(l) - 5*n(l). Give g(b(h)).\nAnswer: 199*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 14*q**2 - 28*q - 55. Let k be p(-12). What is the lowest common multiple of 83 and -14*(k + 141\/21)?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*h + 71*h + 45. Let n(u) = 3*u**3 - 13*u**2 + 4*u + 63. What is the units digit of n(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132500134 + 4?\nAnswer: 132500142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1*(-6*(1 + sqrt(117) + sqrt(117)) + sqrt(117) + 1 + sqrt(117) + sqrt(117)*-2 + sqrt(117)))**2.\nAnswer: -70910 - 1650*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 580897 is divided by 1167?\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/9228 and -85\/27684.\nAnswer: 27684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 6*z - 5. Let t be y(5). Let p(g) = -g**2 + 3. What is p(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -30\/19912567?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 3*j + 5. Let v be b(3). Suppose v*u = 3*u + 52. Suppose a = -0*a + u. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/6*(-10)\/(-15). Let j = -2.4 - -2.8. What is the biggest value in 5, d, j?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 115\/(-230)*2\/(2*(-4)\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186779092?\nAnswer: 2, 31, 163, 9241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*u + 233*u = 80*u - 96 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 30*m + 11. Let d be w(15). What is the hundreds digit of 1096\/2*d\/132*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 119.27052ns?\nAnswer: 0.0000000000331307","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c**5*t**2 - 61*c**4*t**2 + 714*c*t**2 wrt c.\nAnswer: -40*c**3*t**2 - 732*c**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-3)*(-2)\/(-4200)*84?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*3141067\nAnswer: 628213.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (3 + -7 + -1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f = -41 + 6 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 720\/42*(-4)\/24*4 + -1. Let t be (-1)\/10*4 - 0. Which is greater: a or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*u + r, u = -5*r + 14 - 0. Let v = u - 33\/4. Let j = 0.382 + -2.382. What is the closest to -0.2 in -5, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 10:22 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + 2*f + 28 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 394219814?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -3213.\nAnswer: 1\/1071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*z - 2*z + 26, 3*r + z + 11 = 0. Suppose 5*t + 11 = -9. Which is bigger: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 450\/(17 - 42) + 9 + -6.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -691 - 5*b + 2*b + 691 to the form d + x*b and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of 1\/21*n**3 + 3\/2*n**2 - 3*n + 0*n**4 + 0 - 1\/210*n**5. Let k(y) be the first derivative of l(y). Factor k(h).\nAnswer: -2*(h - 1)*(h + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67)\/((-6566)\/9408)*(19\/760)\/((-2)\/12).\nAnswer: -72\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, r: 1, d: 4, b: 2}. Give prob of picking 2 d, 1 b, and 1 r.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 279630 and 316914?\nAnswer: 4753710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -9*p**2. Let h(o) = -10*o**2. What is h(m(v))?\nAnswer: -810*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + 1 + 9. Suppose -4*b - 2*p - y = 0, p + 3 = -2. Let v(a) = a**3 + 36*a**2 + 156*a + 41. Let z be v(-31). Solve 0*r + z = -b*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/6*(12\/7)\/((-126)\/(-84))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12012 + 102222?\nAnswer: 20210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.02 not equal to 3302316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4399239 and 2535.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3466*q**2 + 5*q. Let l(w) = 16*w. Calculate z(l(a)).\nAnswer: -887296*a**2 + 80*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 75*y + 769. Give g(-49).\nAnswer: -505","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -11. Let x = f - -56. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.01 (b) -0.11 (c) -5 (d) -55 (e) 1\/4 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 - 5*j + 4. Let q be 2 - (5 + -3 + -5). Let p be r(q). Suppose 0 = -x - 3*x + p. Is -1 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 4 - 0) + 1. Suppose 4*z - s = 5. Let c be 2\/((-10)\/6 - -2). Solve c = 5*p - z*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**3 + 5*u**2 + 2*u - 2. What is h(4)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -0.1, -56.6, -0.3, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4472\/6 - (-4 + (-26)\/(-6)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 48 in 18\/11, -1\/6, 3, -1, -2, 135?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101 - 101000?\nAnswer: -111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4086283*a**2 - 38*a - 69370 wrt a?\nAnswer: -8172566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of 2*b**2 - 4*b + 1\/3*b**3 + 44. Give j(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4*b**3 + 2*b**2 + b. Let k be r(-1). Let w = 7 - k. Suppose -t - 1 = 4*q, 3*q = -t + w*q + 2. What is the nearest to -0.09 in t, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = -13021 + 5039. Let n = w - -666. What is the least common multiple of 188 and n?\nAnswer: 2444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553 = 4*b - 130*b + 203 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 115.0000023 - 115. What is k rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -v**9\/28 - 11*v**5\/60 + 12*v**2. Find the third derivative of f(n) wrt n.\nAnswer: -2160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2\/3 - 368*c - 1540448\/3.\nAnswer: 2*(c - 1196)*(c + 644)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.496425 to one decimal place.\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2\/31)*(((w\/w**(-5))\/w)\/w)\/w)**41 assuming w is positive.\nAnswer: w**(5166\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1623048 is divided by 227?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k - 3. Let r be c(-5). Suppose 4 = r*i + 16. Let m(u) = -9*u - 7. Let h(g) = -9*g - 8. Let z(l) = i*h(l) + 7*m(l). What is z(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -19*j**5\/20 + 17*j**3\/6 + 9*j. What is the second derivative of m(z) wrt z?\nAnswer: -114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1340078?\nAnswer: 2, 670039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -1246?\nAnswer: -1247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 3*sqrt(13)*6)*-2)**2 + sqrt(208)*6 + (sqrt(52)\/(sqrt(20)\/sqrt(5)))**2.\nAnswer: 24*sqrt(13) + 18785","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1023 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 13*s**2 - 2*s + 3. Calculate the remainder when m(2) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttjqqmyzyty. Give prob of picking 1 q, 1 j, and 1 y.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**4 - 2*j**3 + 118*j**2 + 498*j + 540 = 0.\nAnswer: -5, -3, -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 10*s - 6. Let f be z(9). Let p(r) = 3*r + 0 - 2*r + 2 - 1. Give p(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 383859?\nAnswer: 3, 7, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 10111021020?\nAnswer: -10111021002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 6*c + 17. Let f be m(8). Let i = f - 33. Suppose 0*j = -8*j + i. Calculate the greatest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -11 + 2650150\/236160 - 6\/27. Let t = u - -10503\/18368. Let -2\/7 - t*z - 2\/7*z**2 = 0. What is z?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 3*sqrt(7) - (-2 + sqrt(567) + sqrt(7))) + 0)*2.\nAnswer: -14*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5 = 4*t. Suppose -t*i + 9 = -2*i. Let f be ((-3)\/(-2))\/((-4)\/8). Sort -4, i, f in descending order.\nAnswer: i, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 + -15413?\nAnswer: -15425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3cb (base 16) in base 6?\nAnswer: 4255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 6. What is the remainder when 20 is divided by (j - 20)*(-2)\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 162533 less than 2275473\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 p when four letters picked without replacement from opwpwowowpoppp.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**14\/(y*y**44))**(-49))**(-21) assuming y is positive.\nAnswer: y**(-31899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**3\/2 + 115*n**2\/2 + 236*n + 238 = 0.\nAnswer: -2, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*((-4 + 0 + 2)*(5 + 0 - 4) + 205 - 911 + 1880 - 3 + 3 - 1)*((1 - 1 - 1)*(5 - 4 - 2) + 1 - 4 + 4)*(-2*c + 0*c + 0*c).\nAnswer: 4684*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(-1\/2))\/o)\/o)**(-23) assuming o is positive.\nAnswer: o**(23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 5*f**2 + 3. Let b be z(-5). Solve d = 5*w + 18, 5*d + 8 = b*d - w for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431268 is divided by 2485?\nAnswer: 1363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (19 + -20)*1\/(8\/(-6)). Which is the fifth biggest value? (a) z (b) 0 (c) 0.02 (d) 0.3 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -2*i**2 - i - 3. Let f(s) = 4*s**2 + 2*s + 7. Let y be 5 + -10 + 10 - (-2 + 6). Let a be 4*y + 972\/(-54). Determine a*m(z) - 6*f(z).\nAnswer: 4*z**2 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2730\/45)\/(12\/(72\/7))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 13*p**2 + 12*p. Let l(r) = 116844*r. Determine l(m(o)).\nAnswer: 1518972*o**2 + 1402128*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -71168, -71165, -71162?\n\"Answer: 3*s - 71171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 - 268\/(-16))\/((-21)\/(-56))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.226 - -1.3. Let w = n - 21.074. Let j = w + 21.0000017. What is j rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-550)\/40 - 2\/8. Let w = 16 + n. Suppose -7*q = -w*q - 5. What is the highest common divisor of q and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2380 - 2617 = 23*p - 5250. Solve 0 = v - 4*y - 8, p*v + y = 9*v + 7 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 108245374 is divided by 2375?\nAnswer: 2374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eulowohu. Give prob of sequence oue.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38734, 38637, 38540, 38443, 38346, 38249?\nAnswer: 38152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10617, 21186, 31755, 42324, 52893?\nAnswer: 63462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 68908080 divided by -13781616?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 62. Is y a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.7 plus 742.714?\nAnswer: 745.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 10, c: 9}. What is prob of picking 3 z?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*(sqrt(99)\/(sqrt(81)*2)*2 + 5))**2.\nAnswer: 10*sqrt(11)\/3 + 254\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2660909*z - 2660909*z - 7*z**2.\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.274 - 0.774. What is the closest to 1\/13 in j, 0.2, 1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 16, -5, -16, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 78, 97, 116?\n\"Answer: 19*q + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590167 bigger than 1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*y**2 + 33*y**2 - 61*y**2 - 22*y**3 - 1.\nAnswer: -22*y**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1355 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p + 1. Let t be z(-7). Let s(h) = -8 + t + 5*h - h - 1. Determine s(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 1:03 PM?\nAnswer: 9:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiii when four letters picked without replacement from {i: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.492*0.2.\nAnswer: -0.0984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 453300587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - -2)*91\/14. What is the lowest common multiple of (c\/3)\/((-12)\/(-18)) and 20?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1675*m**2 - 99434442 + 99434442.\nAnswer: 1675*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1475 + -973. Suppose 0 = -6*u + j + 722. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*i**3 - 2*i**3 - 2*i**3)*(58*i**2 + 62*i**2 - 178*i**2).\nAnswer: -232*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 12 + 0 = 0. Let b(n) = 14*n**4 - 6*n**3 + 6*n**2 - 2*n + 12. Let u(x) = x**4 + 1. Let j(l) = h*u(l) - b(l). Let j(w) = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6047?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 40, 32, 34, 52, 92, 160, 262, 404?\n\"Answer: w**3 - w**2 - 12*w + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + 1. Let p be (2 + (-2 - -1))*2. Suppose 0 = 2*d - p, k - 4 = -d - 4*d. Calculate r(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1. Let n(g) = 130*g - 104. Let x(a) = 12*k(a) - n(a). What is the first derivative of x(p) wrt p?\nAnswer: -130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 4*b**2\/3 - 556273*b\/3 - 139069 = 0.\nAnswer: -3\/4, 139069","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/10)\/(15\/50)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 70, 41, -36, -185, -430, -795, -1304?\nAnswer: -1981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 4385.742581 to 0 decimal places.\nAnswer: 4386","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 330756761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -2, 5, -180, 0, -0.11 in decreasing order.\nAnswer: 32, 5, 0, -0.11, -2, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.33 (b) -5\/3 (c) 0 (d) 2\/9 (e) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5\/4 (b) 1 (c) 260\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 815257905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -2, 2\/15, -4, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-156)\/(-95) + 360\/300. Suppose 0 = 2*j - j - 4. Which is bigger: j or u?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o + 17*o**2 - 4*o + 19*o**2 + 14 - 35*o**2.\nAnswer: (o - 7)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2187402 - -4787402. Round z to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*z**2 + 11 - 11 - 419*z**2.\nAnswer: -41*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4117*n + 503950 + 499982 = -8383*n - 208*n for n.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 785312 is divided by 22436?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 divided by -5?\nAnswer: -73\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.88\nAnswer: 0.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.1 (b) -2499 (c) 0.3 (d) -349 (e) 0 (f) -1\/3 (g) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1078113 by 359371.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 479 divided by 24\nAnswer: 479\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 486 + -456. Solve r = -6*d - 0*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 + 11*i + 0*i**2 - i**2 + 12*i + 2 - 24*i to c*i**2 + o*i + d*i**3 + j and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 28, 1 in descending order.\nAnswer: 28, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 7*a + 1. Let l be x(2). Let b = l - 3. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*z - 50*z - 69*z + 14*z**2 - 55*z - 42*z - 44*z.\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2666 + -811. Let r be (-16)\/(-10)*l\/212. Solve 3*p - 10 = p + 2*y, -r = -p + 4*y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -2*y**2. Let o(n) = -41*n. Let v(g) = 21*g. Let u(b) = 6*o(b) + 11*v(b). What is u(w(f))?\nAnswer: 30*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 256211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -13. Let h = n + 2. Sort h, -2, 0.4.\nAnswer: -2, 0.4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m. Let f(q) be the first derivative of -52*q**3\/3 - 2*q - 2198. Determine f(g(r)).\nAnswer: -2548*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20214994 to the power of 1\/2, to the nearest integer?\nAnswer: 4496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-10)\/(d\/d**(-5\/8)) assuming d is positive.\nAnswer: d**(-93\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2216224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -325112 by 83.\nAnswer: -325112\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 3*s + k - 18 = 0, k = -2*s + 6. Let y(j) = -2*j**4 + 10*j**3 - 4*j**2 + 4. Let x(a) = a**3 + 1. Let p(b) = s*x(b) - y(b). Let p(o) = 0. What is o?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + c + 134. Let k be b(0). List the prime factors of k\/10 + 8\/(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2292954?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-17)*i\/((i\/i**(3\/4))\/i)*((i**(-1\/2)\/i)\/i*i)\/i**(-9))**(-12) assuming i is positive.\nAnswer: i**93","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)*-6)\/sqrt(5) + sqrt(24)\/(sqrt(1728) - sqrt(12)) + 0)**2*6.\nAnswer: 50700\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.14 less than or equal to 2.016?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16*o**4*s**2 + o**4 - 13*o**2*s**2 - 6 wrt o.\nAnswer: -384*o*s**2 + 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 537 (c) 0.3 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*y + 801, -3*k + 773 = 5*y - 0*y. Let u = -141 + y. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u. Let p be h(2). Let i(d) = -d + 9. Let n be i(6). Let z(j) = j**3 - 12*j**2 + 32*j. Let f be z(8). Solve -n*m + f*m = p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/((-165)\/(-22))*(-18)\/4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 104180558 a multiple of 2703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11\/26 (b) -1\/5 (c) -2\/25 (d) 7\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12926? (a) 4 (b) -2 (c) 0.2 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 319 and 132.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 5*d + 663 + 1569 = 0, -2*d = -x + 744. Suppose 4*z + 8 = 6*z. Suppose -10*f = -z*f - x. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -78 by 208.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79741?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 24674, 24669, 24664, 24659, 24654?\n\"Answer: -5*r + 24679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 244163317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 less than -7.9163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -423, -419, -413, -405, -395?\nAnswer: -383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -18*f**2\/5 + 1788826*f\/5 - 397516\/5 = 0.\nAnswer: 2\/9, 99379","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -54272413 less than 2?\nAnswer: 54272415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Calculate (117\/105)\/(-13)*(-189)\/(-9).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -72 + -53 + 9 + 91.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5497, -10625, -15753, -20881, -26009?\nAnswer: -31137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -14*t + 337. What is j(21)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/17 - 32*b**3\/17 + 42*b**2\/17 + 1188*b\/17 - 3888\/17 = 0. What is b?\nAnswer: -6, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4 - 2. Suppose d*r + 2*p - 4 = 0, -r + 1 = r - p. What is the derivative of -4*q**3 - 2*q**4 + 4*q**3 + r wrt q?\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*w = -4 + 63 + 25. Which is the second smallest value? (a) 1\/8 (b) -353 (c) w (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 1305 = 2*k - 155, -2*k - 2*m = -1448. Is 37 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x. Let u(n) = 0*n + n + 0*n. Let q be 75\/(-5)*3\/(-3). Suppose 11*v - 8*v = -q. Determine v*c(r) - 8*u(r).\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -173, 1, -515 in increasing order.\nAnswer: -515, -173, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -6.7. Let p be 12\/24*0\/2. Suppose p = 3*x - 0. Which is smaller: s or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -159*1\/14*2597\/2226?\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**3 - 2 + 4 + 4*t**4 - 1 + 2*t - 5*t**4 - 5*t**2 + 5*t**4 to the form b*t + p + l*t**4 + c*t**3 + o*t**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -38*y + 7. Let c be m(0). Solve 0 = -c*q + 8*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/169)\/((-15)\/195)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 16\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/5 - 898\/(-10). Let i = -53 + s. List the prime factors of i.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 13*l**2 + l + 4. Let h be f(-13). Let n be 36\/(-12) + -1 + 4. Sort n, h, -5 in descending order.\nAnswer: n, -5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/12)\/(-4)*(-3 - -1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, f: 2, k: 4}. What is prob of picking 2 n?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 34*h**2 - 37*h + 33. Let r be m(-35). Factor 3*j**3 + 2*j**4 + 2502*j**2 + j**4 - 63*j + 108 - r*j**2.\nAnswer: 3*(j - 4)*(j - 1)*(j + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the third derivative of -s**5\/12 - 5*s**4\/6 - 3*s**2. Solve o(v) = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v + 13. Let r(u) = u + 24. Let t(y) = -5*m(y) + 3*r(y). Suppose x + 2*x = -5*g - 15, -5 = x - g. Let q(s) = -s + 5. What is x*t(n) + 7*q(n)?\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 33 (c) -0.1 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 8:23 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b + 6. Let o be u(6). Let j(v) = v**2 - 11*v + 13. Let a be j(10). Suppose -a*z + o*z = 0. Solve 5*h = -z*h + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 12*z**2 - 15*z - 4. Calculate s(-11).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - j - 24 = 0. Let c be 665\/(-40) - (-3)\/j. Let a = c - -37. Calculate the remainder when a is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1354395 is divided by 251?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -4, 3 in decreasing order.\nAnswer: 3, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71859.\nAnswer: 3, 17, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5320*x - 304 = -2657*x - 2815*x. Find t, given that -4\/5*t**5 - 12\/5 + 4\/5*t**4 + 8\/5*t**x + 24\/5*t**3 - 4*t = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(-23)*f*f*f*f\/f**(-15\/2))**(12\/5))**37)**38 assuming f is positive.\nAnswer: f**(-194028\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 4*s - 6, -2*j + 4*j + 3*s - 10 = 0. Suppose j*v = -10, 4*x + 0 = -2*v + 98. Calculate the highest common divisor of x and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (62 + 84 + 56)*(2 - 2 + 2*g)*(-1 - 1 + 3)*(g - 3*g + 3*g) + 27*g - 27*g + 5 + 2*g**2 to b*g**2 + l + x*g and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of 763*c**3\/6 + 330*c**2 - 229*c. What is the first derivative of a(u) wrt u?\nAnswer: 763","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.98 - 0.02. Let u(g) = g**2 + 8*g + 2. Let s be u(-8). Let d = s + -2. Which is the second smallest value? (a) l (b) 1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7176*r**4 + 141*r**3 + r**2 + 16492211*r.\nAnswer: 86112*r**2 + 846*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1446*p = -535199 + 376139 for p.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73429\/544700 + -2\/10475. Which is bigger: i or 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304.4816596 rounded to the nearest 10?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 23, 0.4, -0.5, -4, 3 in decreasing order.\nAnswer: 23, 3, 0.4, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 11*z + 21 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 12535, 3, 4, -10 in descending order.\nAnswer: 12535, 4, 3, 2, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 37212683 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2199, -9354, -40721, -101808, -202521, -352766, -562449, -841476?\nAnswer: -1199753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -102\/19 or -6?\nAnswer: -102\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42446 is divided by 524.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 - -6198?\nAnswer: 6198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 215\/20 - (-3)\/12. Suppose c*n = 6*n + 325. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 402576158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y**2\/3 - 1073*y\/3 + 358 = 0. What is y?\nAnswer: -1074, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y and 1 b when four letters picked without replacement from yboybby.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/((-10)\/75*5). Let m(f) = f + 3. What is m(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19048 + 36282. Is 117 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 9. Let m = -114 + 118. Calculate the remainder when b is divided by m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 80 = -480. Let k be 96\/c*(-21)\/6. Solve 8\/5 - 2\/5*a**4 + 8\/5*a - k*a**2 - 8\/5*a**3 = 0 for a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-120)\/(-42) + -3*1. What is the second biggest value in -1\/4, 1\/7, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - -39.9. Let h = 11 - v. Let o = 33 + h. Which is the nearest to 3\/5? (a) 3 (b) o (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 2*o = -6*o - 766, -4*o + 734 = 5*i. Calculate the highest common factor of 48 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a week in seconds?\nAnswer: 16128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -4 (b) -0.5 (c) -1\/4 (d) 7\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p + 144. Let s be a(8). Let y be (1 - -1)*14364\/s. Calculate the greatest common factor of 76 and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26 - 1)*4\/(-3). Let r be ((-6)\/4)\/1*(-187 - -181). Calculate the highest common divisor of v and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -6*u + 5*u + 2 - 8*u - u**2. Let l = 37 + -45. What is the units digit of t(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:29 PM and 7:53 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5185681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/15488 and -77\/53120.\nAnswer: 6427520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of s**2 - 3*s + 23. Let f(j) = -2*j. Calculate u(f(n)).\nAnswer: -4*n - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -4*y + 25. Suppose -y*h + 8 = -437. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 90 and 5340?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674914101.\nAnswer: 3, 277, 367, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(2) + (sqrt(18)*2)\/sqrt(9) + sqrt(162) + 2).\nAnswer: -36*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -45 + 45 - (-48)\/(-3)*3\/(-4). Solve 546*j = 548*j + n for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80206.92 millennia in months?\nAnswer: 962483040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k**3 + 16*k**3 + 23*k - 43*k**3 + 20*k**3.\nAnswer: 8*k**3 + 23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - d + 5, -5*z - 4*d = -13 - 0. Suppose -2*q + 5*j - 21 = 0, 4*j + 4 = 3*q + 18. Factor p**q + z + 2 - 3.\nAnswer: p**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(192) - 2*sqrt(192))**2 + 1)*3.\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10.7 in -7\/4, -1\/41, 5, -2\/9, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11961 - -11965. Put 0.1, -2, i, 17 in decreasing order.\nAnswer: 17, i, 0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 625320.\nAnswer: 2, 3, 5, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 513*s**3 - 147*s**3 + 10 - 5.\nAnswer: -660*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1241, 1238, 1235, 1232, 1229?\nAnswer: 1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 + 12*b**2 - b - 11. Give z(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 3*t**2 + 0*t**2 + 2*t**3)*(0 - 2*t + 0).\nAnswer: -4*t**4 - 6*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, -3, 10 in decreasing order.\nAnswer: 10, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6666 - 6663. Solve -f*l + 130 = 118 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*42782\nAnswer: 4278.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, u: 8, w: 2}. Give prob of picking 1 u and 1 w.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 15*y**2 + 18*y - 24. Let g be j(16). Let l be (g\/70)\/((-812)\/(-70)). Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -5, -2\/11, 4\/3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - g = 6174, -9*g - 6170 = -4*l - 10*g. What are the prime factors of l?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169\/294 + -1\/294. Let t = -5.4 - -5. Put t, w, 1\/3 in decreasing order.\nAnswer: w, 1\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 2 j when three letters picked without replacement from {j: 6, w: 4, d: 1}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(245) + sqrt(245) + (2 + 3*sqrt(245) - sqrt(245)) + -2*sqrt(245) + -3 + sqrt(245))**2.\nAnswer: -42*sqrt(5) + 2208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -23 + (-1 - -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1085210\/942750 - (-1 + (-38)\/(-18)).\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 286.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3944 and 1139?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t + 56. Let m = -16 - t. What is the nearest to -0.1 in -5\/4, m, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**4\/7 - 5003524*y**3\/7 - 6258818108166*y**2\/7 - 12517621205764*y\/7 - 6258808101121\/7.\nAnswer: -(y + 1)**2*(y + 2501761)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocd when three letters picked without replacement from pcdbdobbdpd?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954741 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3903747 to the power of 1\/3, to the nearest integer?\nAnswer: 157","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-7\/2)*z*z**(7\/5))\/((z\/(z\/z**5))\/((z*z**(9\/4))\/z)) assuming z is positive.\nAnswer: z**(-77\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 759 and 111941?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17073025\/903 + -18907. Let d = 189331446737\/8706686268 - -114\/2410489. Let h = u + d. Find the common denominator of -61\/6 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -b + z + 620, -3*b - 4*z = -1925. Suppose -b = 7*n - 12*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*k + k + 3*k)*(3 + 3 - 4) + k + 0 + 0 - 31*k + 35*k - 50*k to z + m*k and give m.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 42*y**2 - 76*y - 6. Calculate the smallest common multiple of w(3) and 468.\nAnswer: 1872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -25 + 2 + (-10 - (7 + -15)). Let o(l) = -31*l + 91. What is the tens digit of o(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and 20540048637.\nAnswer: 20540048641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -73705.5 rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -130 - -220. Is 30 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6530*n + 6481*n + 808108 = 0. Is n a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 22964?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3*(-9)\/2)\/3\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 1125400.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24090\/(-2044)*4*4\/(-40)?\nAnswer: 33\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4290, 6330, 6116, 3648, -1074?\nAnswer: -8050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13596308443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**9)**(-1\/15) assuming o is positive.\nAnswer: o**(8\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 23250 (base 7) to base 14\nAnswer: 2260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11.987 and 0.434261.\nAnswer: 12.421261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 508788.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -5, -0.4, 0.14, 7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5587 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -17 - 3. Suppose 5*v + 38 - 118 = 0. Suppose 4*w = z*d + 80, 2*d = -2*d - v. Does 15 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 8, 4, 12, -19 in decreasing order.\nAnswer: 12, 8, 4, 0, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -32. Let u(m) = 7*m**2 - 9*m**2 + 4*m**2 + 14*m**f. Let p(i) = -5*i. Calculate p(u(l)).\nAnswer: -80*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 63\/5, -0.2, 0.09, -8.5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1046 - 1046.0006. Round z to 5 dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -21. Suppose -2*y - 11 = -3*o, 2*o + b = -1. What is the common denominator of 95\/2 and (87\/y)\/((-50)\/(-35))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 30861585 and 1395.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - -26) + 2 + -1. Suppose 306*a - 6 = 307*a. What is the common denominator of (62\/a)\/(l\/(-12)) and 59\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 975389711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.9 in -2\/3, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/179?\nAnswer: 1\/179","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 m, 1 j, and 1 o when four letters picked without replacement from zfmojfw.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2484604214 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = r, 5*l = -0*r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5657*t + 1151 - 1151 - 4767*t.\nAnswer: -10424*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.8391 to one dp.\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2222, -4409, -6620, -8861, -11138, -13457?\n\"Answer: -h**3 - 6*h**2 - 2162*h - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 160671?\nAnswer: 3, 7, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -79 (base 15) to base 2\nAnswer: -1110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.33 + 0.29. Round k to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**2 + 744*a - 17*a**2 - 3 + 5*a**2 + 8*a**2 + 2 to the form k*a**2 + b*a + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -152*c + 1 - 312*c**5 + 336*c**5 - c**3 + 7*c**3 + c**3 wrt c?\nAnswer: 480*c**3 + 42*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3 - 45287647*f**2 + 95984417*f - 1 wrt f.\nAnswer: -12*f - 90575294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 - 4 = -2*u, 5*u = -4*z + 7. Let q(y) = 3 - 5*y - y + 0*y. Let r(l) = 2*l - 1. Calculate z*q(a) - 7*r(a).\nAnswer: -2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9678 - 1491. Does 20 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, 1\/4, -144, 2, -33 in increasing order.\nAnswer: -144, -33, -5, -1, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112176?\nAnswer: 2, 3, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13258555747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 2*s**2 + 46*s - 71. Determine i(-25).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08*-1149.\nAnswer: -91.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/375*-20*(-300)\/48.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 545\/20 + (-3)\/(-4). Let j be (-2)\/(-8) + u\/16. Let b be ((-30)\/(-4))\/5*j. Solve 4 = b*o - 2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2, 0, -14, -46, -102, -188?\n\"Answer: -t**3 + 5*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 7*x**3\/6 + 9*x**2 - 5*x + 1. Let f be b(-3). What is the fourth smallest value in -5, -0.2, -0.06, f?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*y + 2365 - 6491 - 5858. What is the greatest common divisor of y and 2392?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -206675 (base 8) in base 16?\nAnswer: -10dbd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-4)*(-6)\/9*15. Let u = -0.5 + 0.1. Which is the nearest to -1? (a) -9 (b) j (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -l + 5, -z + 0 = -5*l + 3. Let x be (1 - -3 - 1) + 7. Let m be (0\/(-1))\/(12 - x). Solve m = z*o + o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -9. Let d = t - 11.99908. What is d rounded to four dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15427501 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29\/3 - 11. Let l be 3\/(-2) - 8\/(-4). Which is the closest to l? (a) n (b) -1\/5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-4)*(3 - (-3 + 11)). Which is smaller: p or -39\/8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1597 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 111670.302 rounded to the nearest ten?\nAnswer: 111670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 81445*-0.2\nAnswer: -16289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4690 divided by -670?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -195.38735 + -333348.99265. Let o = -333467.380198 - i. Let d = -77 + o. Round d to five decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q**3*v**3 + 177*q**3*v + 2*q**2*v**2 + 2*v**3 - 12*v + 7 wrt q?\nAnswer: -30*v**3 + 1062*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kek when three letters picked without replacement from {k: 3, t: 2, e: 5}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -416698, -416699, -416700, -416701, -416702, -416703?\n\"Answer: -g - 416697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 i, and 1 l when three letters picked without replacement from {v: 1, e: 3, k: 3, l: 2, i: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 161\/390 and 113\/430482?\nAnswer: 2152410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000734 to five dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 388 or -63?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f + 1. Let c be z(5). Let p = c + 4. Suppose 0 = -4*d + 66 + p. Calculate the remainder when d is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 1:01 PM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -568\/5 - -114. Let z = -2.07 - -1.67. Put 1, l, z, 0.1 in descending order.\nAnswer: 1, l, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 10 - 5*c**2)*(12*c - 9*c + 0 - 2 + 4*c**2) as h*c**2 + d + q*c**4 + k*c**3 + p*c and give h.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 598819 and 73.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -1325681.\nAnswer: 1\/1325681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63910 and 25564?\nAnswer: 127820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414 - 176*g**3 + 309*g**3 - 132*g**3.\nAnswer: g**3 + 414","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*j**3*z**3 + 2*j**3*z - 74*j**3 - 3*j**2*z + 215*j*z**4 wrt z?\nAnswer: -12*j**3*z + 2580*j*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m**2 - 4*m - 17. What is q(-5)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.84 - 1.84. Let t be 1\/(((-6)\/4)\/(-1)). What is the biggest value in t, h, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*w + 5*w - 23*w.\nAnswer: -34*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -45*f**2 + 8*f - 27. Let v(p) = 37*p**2 - 8*p + 26. Determine 6*d(x) + 7*v(x).\nAnswer: -11*x**2 - 8*x + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 50*b**2 + 55*b + 350.\nAnswer: 5*(b - 7)*(b - 5)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -496 rounded to the nearest ten?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the second derivative of -a**3 - 1\/12*a**4 - 2 + 0*a**2 - 39*a. Find y such that i(y) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 226 divide 24626316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3256 - 2.\nAnswer: -3258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -25*t + 26*t. What is the greatest common divisor of t and 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 - 52 - -18 - -14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -962*r**3 - 4767*r**2 - 9*r - 709713973.\nAnswer: -2886*r**2 - 9534*r - 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*y - 12*y + 14. Suppose 2*q - y*q + 70 = 0. Solve r = -5*n + 3*r - q, 5*n + 3*r = -29 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.067 + 10.667. Let g = 11 - u. Sort g, 0.2, 3 in increasing order.\nAnswer: 0.2, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 18*o**2 - 39*o - 65. Calculate a(14).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, p: 1, f: 3, h: 3}. What is prob of sequence wp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1170171*a*k - 2145086*a + 2*k**4 with respect to k.\nAnswer: 1170171*a + 8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-67)\/(6\/(-16)*-4). Let r = -2135\/48 - h. Calculate the common denominator of r and 199\/(-42) + (-4)\/(-6).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h**0*h*h)\/h*h)**(-3\/5)\/(h**(-2\/11)\/h**(-1\/7)) assuming h is positive.\nAnswer: h**(-909\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -79 and 25950?\nAnswer: -2050050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3796 (base 12) to base 15.\nAnswer: 1d06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61 + -56. Suppose -u*a + 9*a - 32 = 0. What is the highest common factor of 56 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(2\/7)*j*j\/j**0)**(-2\/83)*(((j\/j**5)\/j)\/(j*j**5))\/(j\/(j*j**(2\/13))*j**(2\/15)*j) assuming j is positive.\nAnswer: j**(-1364626\/113295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-182)\/(-28) - 63\/14. Solve 5 - i = -s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 10*b + 6. Give m(8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -6\/7, 0.5, 2, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-29 - 7 + 32*f - 43 - 54*f)*(-3*f + 7*f - 2*f).\nAnswer: -44*f**2 - 158*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7281077 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -12*c + 7. Let w(g) = 7*g**2. What is w(t(l))?\nAnswer: 1008*l**2 - 1176*l + 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.33 + -1.330053. Round h to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 728, 755, 794, 851, 932, 1043, 1190, 1379?\n\"Answer: i**3 + 20*i + 707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005900985 rounded to 6 decimal places?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 + 6*l**2 + 5*l + 7. Suppose 156*z = 167*z + 66. Determine s(z).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/(-4)*(-96)\/(-36). Suppose -h*p = -5*p + 33. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 103*h**3 - 418*h**2 + 333*h - 18.\nAnswer: (h - 3)*(h - 1)*(103*h - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h - 6. Let q be f(20). Let k = q + -10. Factor 2\/7*v**3 + 2\/7*v**5 + 0*v + 0*v**2 + 0 - 4\/7*v**k.\nAnswer: 2*v**3*(v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 7:20 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:49 PM and 3:30 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2851 is divided by 1841.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 62 + 42 = -2*z - 40, -2*z + 85 = -11*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 476.5139nm?\nAnswer: 0.00004765139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -5*r**3 + 318335*r**2 - 5067017775*r + 5066699445 = 0.\nAnswer: 1, 31833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i - 674 = -901 + 527 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + r - 411 = 0. Suppose -4 - 24 = -2*m - 2*t, 2*m + t = 34. Calculate the remainder when r is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 523518185*i**4*x**2 - 42*i**2*x**2 - 28*i**2 - 106*i*x**2 + 45*x**2 wrt i.\nAnswer: 12564436440*i*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4*1\/(-16) - (20 + 1738\/(-88)). Factor -1\/6*h**2 + n - 4\/3*h.\nAnswer: -h*(h + 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 11908, 25561, 39214, 52867, 66520?\n\"Answer: 13653*q - 1745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 23 + 9)*(-135 + 135 - 57*k).\nAnswer: 114*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -191007*l + 15662583. What is s(82)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 11 - 29 = 0. Suppose -p*s = -5*s - 64. Calculate the remainder when (-61)\/2*4\/(-2) is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 21129017 and 3018431?\nAnswer: 21129017","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 5 (c) -0.0075\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-64)\/(-11) - (-38 + (-1248)\/(-33)). Let k(y) = 47*y**3 - 5*y**2 - 5*y + 7. Let z(r) = -46*r**3 + 6*r**2 + 6*r - 8. Determine d*k(b) + 5*z(b).\nAnswer: 52*b**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 1, -259, 4, -5 in increasing order.\nAnswer: -259, -19, -5, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 898483?\nAnswer: 898483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 381026660 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 88 and 272.\nAnswer: 2992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*l - 18*l - 180 = 0. Let c = 3 + 2. Suppose -4*t + 37 - c = p, 2*p + t - 36 = 0. Calculate the remainder when l is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 6 - (2 + -15 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 869*u - 2607*u + 866*u + 874*u.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -2600790 > -2600789?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (41 - 67 - 168)*(-7*x - x + 0*x) as m + c*x and give c.\nAnswer: 1552","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*d + 6065 + 4140 = 3497 for d.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2047801, -4095603, -6143403, -8191201, -10238997, -12286791?\n\"Answer: v**2 - 2047805*v + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -417 - -746. What is the smallest value in 3\/4, k, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - -15.9999971. What is p rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/30 and -179\/259320.\nAnswer: 259320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 18*q - 14*q. Put 4, -0.3, q, -1\/5 in decreasing order.\nAnswer: 4, -1\/5, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -2*z**2. Let f(o) be the third derivative of 0 + 0*o**3 + 1\/30*o**5 + 0*o**4 + 2*o**2 + 0*o. What is f(m(l))?\nAnswer: 8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 108*s - 2599444 = -10*s. What is the thousands digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 73823?\nAnswer: 590584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 4*u - 5. What is the remainder when 12 is divided by b(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 713935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - -0.2. Let y = -0.3 + i. What is the third smallest value in -1\/5, y, 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from enqnqinnnnqqqqqqnqi.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 2*p - 964 = 0, 5*p - 11 = 9. Suppose m - a = -28. Does 38 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109580587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -49 (base 16) to base 4\nAnswer: -1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4902*u + 1515*u - 99916 - 92317 - 308293 for u.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxbkblkkkkbkikkkk. Give prob of picking 1 x and 1 l.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8 + 7 + 8 - 6*l**3 wrt l.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q - 3*o = 652, o = -2. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -53 + 55. Let c(x) = -x + 10. Let g be c(7). Suppose -p = 2*w + g*w + 7, -4*w + 4*p = 20. What is the nearest to 1\/3 in m, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -20.2 (c) 5 (d) 0 (e) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -5 + (4 - -5) - (-2 + 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/4)*f*f)\/(f*f**(-14)\/f))\/(f*f\/((f*f**(7\/2)*f)\/f))**(-2\/19) assuming f is positive.\nAnswer: f**(1253\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 + 5965*b - 1688610.\nAnswer: -5*(b - 731)*(b - 462)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) 0.16362 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -7*u**4\/8 - u**3\/6 - 2*u**2 + 2*u + 1707. Let v(z) = -z**2. What is j(v(x))?\nAnswer: 21*x**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -23*q + 70. Let u(x) = 2*x - 3. Let a(n) = -c(n) - 8*u(n). Determine a(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 36. Calculate o(-19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l + 1. Let y be q(1). Let p(c) = 2*c - 8. Let a be p(6). Suppose 0 = -m - m + 8. Solve 12 = y*g + 3*o, a*g + o + 12 = m*o for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((24\/(-45))\/(-4))\/(1328\/(-27888))*5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 90, 3\/5, 0.02, -2\/5 in increasing order.\nAnswer: -2\/5, 0.02, 3\/5, 90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1763, 1781, 1799, 1817, 1835, 1853?\n\"Answer: 18*y + 1745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (930\/(-1023))\/((-12)\/22)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 38*n**2 - 5*n + 1. Is o(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10497.25 rounded to the nearest one thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 567894.\nAnswer: 2, 3, 94649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9987198 and 228?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7508 to the power of 1\/2, to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rce when three letters picked without replacement from {c: 5, r: 4, e: 1}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1002 (base 7) to base 15\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80739 is divided by 995.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.2, 84, 2, 1, -478, 0.1?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + v - 19 - 5 = 0, 8 = f + v. Let o = 52766\/3 - 17588. What is the fourth biggest value in 4\/3, 3\/8, o, f?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/21)\/(32\/(-16))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8678*v = 8675*v + w + 3, 0 = -v + 5*w - 55 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 PM and 1:29 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24917728 is divided by 24917718?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 12*g**2 - 4 + g**3 + g - 11*g**2 - 1 + 0*g**3. Give k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -894*r - 888*r + 1787*r + 10. Let h be (-1)\/4 - (-13)\/4. Let v = -0.07 + -5.93. What is the nearest to r in -4, h, v?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 647721 and 28647306?\nAnswer: 8199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -17. Suppose -2*p = -x*p + 285. Suppose -71 = -5*j - t, 0*j - 3*t = -3*j + p. What is the remainder when 29 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -44*l**2. Let v(o) be the first derivative of -o**2 - 312. Calculate v(p(z)).\nAnswer: 88*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12 - (-935)\/(-77)) + (-4)\/(-14). Let g be 0 + 12 - (2 - 2). Suppose -3*m = -5*t + g, 4*t = 3*m + 2*t + 3. What is the closest to 1\/3 in m, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41127 a multiple of 225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 213216 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103179.\nAnswer: 3, 163, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/99 - 4\/(-18)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17190350399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 2*b - 5*s - 82, -8 = s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 667 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38)\/(-75240)*-55 - (-346)\/(-504).\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -287 + 416. Let h = -129 + a. Let r = -3440\/171 + 182\/9. Which is smaller: r or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-1\/18)*t**(2\/27))\/((t\/(t**(-5\/2)*t))\/t**(3\/7)) assuming t is positive.\nAnswer: t**(-178\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gfgsgqf. Give prob of picking 1 s and 2 f.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 2*x - 1. Is q(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -302, 2, -0.04 in decreasing order.\nAnswer: 2, -0.04, -302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53.144 - 48.1. Let u = -0.044 + m. Which is the nearest to 3? (a) 0 (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 28*z - 173. Determine l(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r. Let h(m) = 18*m + 3. Let x(j) = 45*d(j) - 3*h(j). Let y be x(-2). What is the units digit of (-6)\/(-9) + (-3)\/y*-1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53285 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 373915 and 9010.\nAnswer: 747830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.9*-1341121.\nAnswer: 7912613.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2939, 1, -1 in ascending order.\nAnswer: -2939, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 5*w**2 + 3*w - 10. Let u be j(5). Let p be (-4)\/10 + 1200002\/u. What is p rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -0.684 (c) -321.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**2 - 10*j - 2. Let h be u(-16). Let p = h - -365. Solve 0 = -3*r + 4*w + 2 + p, 5*w = 5*r - 20 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.004 - -24.004. Let j = a + -24.3. Let z(c) = -c**2 + 4*c - 1. Let x be z(2). Put 1, x, j in descending order.\nAnswer: x, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 6*p - 8 = 4*p, -4*p = t + 12. Let x = t - -13. Solve -5*d + 11 + x = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1073760929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ixgubgggggq. What is prob of sequence ub?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124 by 4.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 4*q**3\/3 - 18*q**2 + 32*q - 1956. Let u(o) = 0. What is o?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18484 + 6299.\nAnswer: -12185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539194 is divided by 38491.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r**2 - 149*r + 55. Determine g(-17).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -51*b + 25. Let u = 26 + -29. Let o be s(u). What is o rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-3)*12\/24. Suppose 10*c + 258 - 2818 = u. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 3*z + 3 = 0, -5*a - 2 - 5 = z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23 is divided by -1 + 3 - (-13 - (-1 - 2)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - t + 3*y = 9, 3*y = -4*t + 24. Is 3 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 37360*w = -37357*w - 19, 4*t + w + 5 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*j**5 + 132266*j**4\/5 + 329066*j**3\/5 + 268622*j**2\/5 + 15892*j + 7568\/5 = 0. Calculate j.\nAnswer: -1, -2\/7, -1\/5, 1892","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -8374, -8338, -8278, -8194?\n\"Answer: 12*p**2 - 8386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 - -0.1. Suppose 4*l + 3*s = -25, 5*s = 2*l - 0*l - 7. Let t be (6\/l)\/(168\/(-32)). What is the nearest to -2 in 3, t, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 49\/21 - 11\/(-42). Let i = 2 - 1. Is v >= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 320925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*k - 189 - 163 + 116 = 0. Which is the third biggest value? (a) 1\/3 (b) k (c) -11 (d) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 - 6*p**2 - 9*p - 14*p**3 + 9*p + 3*p**2.\nAnswer: -14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**2 + 21*a - 2*a**2 - 21*a + 9*a**6 wrt a?\nAnswer: 1080*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 522.0093 micrometers?\nAnswer: 0.0005220093","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/8)\/((-4)\/24). Sort 2, 1, m, 9.\nAnswer: m, 1, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 1019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*a**4*k - 2*a**4 - 1704*a**2*f*k + 2*a*f*k + 7*a*f - 1016*a*k wrt a?\nAnswer: 96*a**2*k - 24*a**2 - 3408*f*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 88674.09t?\nAnswer: 88674090000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s. Suppose 8*l = 10*l - 518. Let g(m) = 259 - l + 3*m**2. Give x(g(t)).\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -3, -690, 0, -7\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 2024039342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 49 = 4*x. Suppose 15 = -x*c + 14*c. Solve -c = 2*t - 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 3*o - 2*x, -2 = 2*o + 2*o + 5*x for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448920 divided by 15480.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 320\/(-240) - ((-397)\/3 - 1). Solve 0 = -12*p + 144 - w for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210313 and 387.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1400074.31 rounded to the nearest one hundred thousand?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1226, 2454, 3682, 4910?\n\"Answer: 1228*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 451658 is divided by 45163?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 522588824?\nAnswer: 2, 31, 389, 5417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5328)\/(-4662))\/(-1*2)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 + x**2 + 2. Give y(2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 52\/(-14) - (-4)\/(-14). Let y(p) be the first derivative of 2*p**3\/3 + p**2 + 2*p - 7. What is the remainder when y(j) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 + 2*p. Let h(k) = -2*k**2 + 7*k. Let l(y) = -46*y - 6. Let q be l(0). What is q*h(i) + 21*r(i)?\nAnswer: -9*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4208 - 0.2292. Sort u, 2, 10\/9, 0.1, -0.1 in increasing order.\nAnswer: u, -0.1, 0.1, 10\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z - 60 = 3*q, 0 = 2*q. Let g = -17 + z. Solve 0 = -4*a + 4*r - 9*r + 15, g*r - 9 = 5*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 116 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5 + -3 - (-1087)\/(-450) and (-38466)\/(-7920) - (-4)\/(-22) - (-5)\/(-40)?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 10*d + 10. Let v be a(10). Let p be 5 + (4\/v)\/(14\/(-70)). Solve 2*h = h + p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7056916.02 seconds to weeks.\nAnswer: 11.66818125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -106707*j + 960372. Give m(9).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (54 - 26) - 5.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 2) + (2 - -2) + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h*w**3 - 391475528*h*w - 57*h - 762321 wrt w?\nAnswer: -3*h*w**2 - 391475528*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 283.831 - 283. Let n = 0.141 - l. Let z = 0.29 + n. Which is the fourth biggest value? (a) -2 (b) 0.1 (c) z (d) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o + 20. Let y be f(8). Let k be 1\/(10\/y) - (-14)\/35. Suppose 1008 = -k*p + 4*p. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yhy when three letters picked without replacement from {a: 1, y: 2, h: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 3363 divide 67000947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12144 and 951027?\nAnswer: 15216432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36*m - 27*m + 20*m)*(-1 - 1 + 1) in the form n + f*m and give f.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -281 + 3651\/13. Which is the closest to -0.1? (a) n (b) 5 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3*(16\/4 + 1). Solve -x = -2*v - v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76.2 - -76.5. Which is the biggest value? (a) o (b) -3.88 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 4:05 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 34270*u**2 + 429*u + 855. Is n(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 755504.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*o + 3*o + 26664*o**2 + 5*o.\nAnswer: 26664*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3206435 (base 7) in base 3?\nAnswer: -201202101112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457*z + 143 - 1235 - 3478 = 0 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 9*f**2 - 10*f + 4. Let m be i(10). Suppose m = -6*o + 2*o + 4*d, -2*o - 11 = -5*d. Solve 0*y + y - 5*g + 18 = 0, -2*y = -o*g + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*l = 78*l + 2*f + 1, -3*l - 20 + 23 = 3*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 7. Let n = s - 8. Let t = n + 4. Solve t*r + 2*a = 11, -5*r + 3*a = -14 + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 + 1 + 127 + -154\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.023 (b) 2\/11 (c) 97.1 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d - 2. Let u be c(-4). Suppose 0 = g - 4*b, 2*g + u*b - 3*b = 21. Does 12 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2013245 is divided by 154.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-1 + sqrt(75)))**2 + 0 + ((1 + -2*sqrt(75))**2 - (sqrt(75)*2 + sqrt(75) + 0)).\nAnswer: -75*sqrt(3) + 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r - 7. Let k be f(-5). Suppose -5*u = k*y - 28, u + 2*u + 2*y - 17 = 0. Solve -u*b = -4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 7*k**2 + 3*k + 1. Does 16 divide i(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 3*u - 2. Let l = 468 + -422. Suppose 6*v = -22 + l. What is g(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 (base 9) in base 12?\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 49 * 0.01595.\nAnswer: 0.78155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 + 6 = -28*h. Suppose h*p = 247 - 207. Solve -5*g = -25, -2*g + 0*g = -5*f - p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-5*sqrt(99))**2 + 5).\nAnswer: -14880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3*6\/99 + (-1615)\/(-11)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i. Let u be k(-3). Suppose -73*l + 396 = -79*l. Let w be (-72*-1*2)\/((-99)\/l). Calculate the greatest common divisor of u and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 121133314 + 31?\nAnswer: 121133345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.9 - 5.765. Let j = -1.135 + k. Let f = -0.3 - -1.3. Which is the closest to f? (a) j (b) 0 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -4\/20600553?\nAnswer: -4\/20600553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/180 and -151\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**(-6))**(1\/6)*((d\/((d**(-4\/21)*d)\/d))\/d)\/d**(-21) assuming d is positive.\nAnswer: d**(953\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 8:23 AM?\nAnswer: 2:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Suppose l = 3*k - 7, -l + 2*l - 5 = -k. What is the third biggest value in l, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -21. Let j(h) = 2*h + 18. Let z be j(a). Calculate the remainder when (-8)\/(-32) + (-430)\/z is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 + 0)\/((1\/(-1))\/(3\/2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 8*o**2 + 6*o + 7. Let i(s) = -2*s + 7. Let w be i(0). Let r be d(w). Let y be (-1 - r)*1*-116. What is the highest common factor of y and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6 - 3 = 0. Let t be -1*(-9)\/f + -48. Is (t\/(-6))\/(12\/32) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and 0.868?\nAnswer: -0.3472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 168 and 2436.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oqss when four letters picked without replacement from {q: 2, s: 3, o: 3}.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(153))\/(-6*sqrt(441) + sqrt(9)).\nAnswer: 20*sqrt(17)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 186*a - 6. What are the prime factors of v(1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -t + 5*k, 7*t - 54 = 4*t - 5*k. Let w = 11 - -73. What is the remainder when w is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/271356 and -167\/210.\nAnswer: 9497460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-2\/5)\/g*g\/(g*g**(-3)))**19 assuming g is positive.\nAnswer: g**(247\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a factor of 979216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 20. Determine j(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2842 + 28337\/10. Find the common denominator of 93\/8 and l.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-56)\/(-12) - 2\/3. Suppose z*i - 12 = 3*i. What is the common denominator of (-9 + i)*(-38)\/(-15) and 43\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 0.3. Suppose 5*t - 4 - 1 = 0. Let l be (2 + (-32)\/18)\/t. Which is the closest to o? (a) 3 (b) -1\/5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7*i**(-8)*i*(i*i\/(i**(-1)\/i))**(-20))**(1\/61) assuming i is positive.\nAnswer: i**(-80\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -3*h**2 - 436*h + 1156. What is g(-147)?\nAnswer: 421","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3240 - -22718\/7. Let y = -508\/91 + i. Which is the nearest to 0? (a) 1\/7 (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 47*z - 439 = 0, -5*n - 76*z + 73*z + 89 - 42 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -8. Let l be (1510\/(-50) - -10) + 20. What is the nearest to 1\/3 in 0, -2\/15, l, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (13 - (15 - 2)) + (5 - -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -9. Suppose r + 2*r + 9 = 0, 5*x + g*r = 118. Solve 5*w + d - x = 0, -2*w + 25 = 2*w + 5*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 2387?\nAnswer: -2390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - 442838190.\nAnswer: -442838192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 386 = 4*r - 5*f + 39, -2*r + 3*f + 175 = 0. Suppose 79*l - r*l = 16. Is 13 a factor of -1 + (l - (-603)\/(-6))*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56697 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {c: 4, i: 14}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.31 and 17.7.\nAnswer: -5.487","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(2 + 3 - 3)*(2 - 3 - 1)*(g + g - 4*g)*(-g + 3*g + 4*g) - 105*g + 105*g + 53*g**2.\nAnswer: -43*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*r - 144*r - 163*r + 487*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 + d + 1. Let s(a) = 4*a**3 - 22*a - 3. Determine -3*g(c) - s(c).\nAnswer: -c**3 + 19*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-2*((sqrt(66)*-2)\/sqrt(6)*-6*-2)**2.\nAnswer: -76032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, -0.1, -3\/10, 2\/9 in decreasing order.\nAnswer: 4\/7, 2\/9, -0.1, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3)\/(-8)*17\/51?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 + 57922*g - 28965*g + 2 + 32*g**2 - 28957*g.\nAnswer: 39*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 79 + -28. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**5 + 11206*l**4 + 247186*l**3 + 1765458*l**2 + 4454352*l + 3645000 = 0. Calculate l.\nAnswer: -9, -2, 5625","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 31.881 from -62543.3601.\nAnswer: -62575.2411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*y + 76, t - 3*y - 12 = y. Suppose -4*g + 576 = 3*v, 5*g + 0*v - 709 = -v. Let o = g - 81. Calculate the greatest common factor of t and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 704051, 704138, 704225, 704312?\n\"Answer: 87*o + 703964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/((-7)\/((-84)\/30))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2273366 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 414, 3, 4, 102 in descending order.\nAnswer: 414, 102, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-170)\/144 + (0 - -1) and (-322)\/30*(-76250)\/128100?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (53*o**2 + 13*o**2 - 18*o**2)*(8 - 8 - 15*o**3).\nAnswer: -720*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 193 - 96 - 97 - 249*r**2 + 250*r**2. Let d(w) = -16*w**2. What is -3*d(a) - 21*l(a)?\nAnswer: 27*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 181865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-1))\/(57792\/384)\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2*(15\/(-10) - 1). Solve -c*p + 1 = 2*h + 25, -2*h - 8 = p for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11620*x*z + 14*x + 11606*z + 8 wrt x?\nAnswer: -11620*z + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 4745 - 4745 - 5*v + 2*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 5.257025 milligrams?\nAnswer: 0.000000005257025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c\/(c**7*c))\/c)**25)**(-32\/3))**(6\/7))**(-1\/54) assuming c is positive.\nAnswer: c**(-6400\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*i**3 - 2*i**3 - 18*i**2 - 4*i**2.\nAnswer: i**3 - 22*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 - -9)*4\/2. Suppose 2*d - 15 = -5*i, -18 = 4*i + y. Solve 3*b + 2*s + 4 = -4, 5*s + d = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -3*i - 4*v, -117*v = 2*i - 119*v + 26 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*f + f + 2*a, 0 = -5*a - 20. Let x = 2 - -8. Suppose x = 2*y + f*y. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*q - 70*q = -4*k + 19, -q + 2*q - 1 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-19554)\/(-8))\/((-66)\/352)*(-9)\/6?\nAnswer: 2, 3, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15700 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -375*g + 118*g + 132*g + 121*g.\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 20 = -2*q, 0*i - 2*q = -3*i - 8. List the prime factors of (18\/(-8))\/(i\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - a + 20 = 0. Find the first derivative of -2 + 6*g - a - 1 wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from knannnnknkk. Give prob of sequence nnkn.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.014 + 0.356. Let v = -1.746 + p. Let q = -1.3759353 - v. Round q to six dps.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**3 + 2469*b**2 + 2466*b = 0. What is b?\nAnswer: -822, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -140748960 divided by -139080\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3191, -7744, -12151, -16340, -20239, -23776, -26879?\nAnswer: -29476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 201 = -461 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from {j: 1, n: 5, r: 3, s: 3}.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a314 - -4?\nAnswer: -a310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 9 = -5*n. Solve 3*p - n = 5*l, -10 = -3*p + p - 4*l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 17*l**3 - 31*l**3 - 6*l - 3 - 2 + 20*l**2 + 15*l**3. What is the units digit of m(-20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**5\/20 + x**4\/2 - 5*x**3\/6 + x**2\/2 + 2*x. What is h(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 334887473.2 to the nearest 100000.\nAnswer: 334900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -1 - 5)\/(6\/8). Let u = 17 - q. Does 7 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1350, -2656, -3930, -5172?\n\"Answer: 16*g**2 - 1354*g - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3*o**3 - 195*o**2 - 2904*o + 5375. Give q(-39).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1, -213, -821, -2023, -4017, -7001, -11173, -16731?\n\"Answer: -33*w**3 + 19*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 33 - 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3900000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-65832)\/4136444)\/(27\/(-39)).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20.9 - -20.4. What is the closest to 1 in -4, d, 10?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*j = -136*j - 175. Let m be (-7)\/(-2) - 2\/(-4). Suppose -5*k + j = 5*u, -2*k + m = u - 1. Is 9 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -0.22\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 134310?\nAnswer: 134312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2\/4395203 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -16*n + 84 + 62. Solve -5*j + n*y = 13*y + 40, -j + 2*y + 6 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2388 a multiple of 199?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02482 and -288.\nAnswer: -287.97518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82\/533*6\/42.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = 2*k + 2*u, -5*u - 23 = -2*k. Suppose 4*m - 2*z - 8 = 0, -2*m - k*z + 15 = -9. What is the highest common divisor of m and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, u: 5, c: 1, v: 9}. Give prob of picking 2 u.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/(-14) - (-6)\/(-21). Let u be (6\/(-1))\/c + 1. Is (-14 + -8)*29\/u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6132 - 3659. List the prime factors of q.\nAnswer: 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 - -10. Let z = 0.2 + -0.24. Let h = z + 0.34. Which is the closest to d? (a) 2\/3 (b) h (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4192 - -4254. Solve 3*w = -l - u + 47, 0 = -3*w + l - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 2*k - 87, 3*p - k + 3 - 62 = -15*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (310\/1116)\/((-5)\/(-2))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832)*4)\/(-1*2*sqrt(4)).\nAnswer: -8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 814 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 - 95*h - 2211. What is b(-18)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 2) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*d*i**5 + 94*d*i + d - 120*i**4 + 2*i wrt i.\nAnswer: -260*d*i**3 - 1440*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(180)*3)\/sqrt(12))\/(-5*sqrt(10)\/(sqrt(18)\/sqrt(9))))**2.\nAnswer: 108\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.07 + 0.07. Let g = 0 - -0.2. Which is the smallest value? (a) 2\/7 (b) g (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4716234*t**3 + 187048*t.\nAnswer: -28297404*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46962111?\nAnswer: 3, 7, 193, 11587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v + 4. Let q(p) = -11*p + 326. Let i(s) = -2*s + 61. Let l(r) = -16*i(r) + 3*q(r). Determine 4*a(k) - 9*l(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*b + 20 = 0, 5*f = -0*f - b + 55. Suppose p + 252 = f*p. Let t be (-3 - (-19 + 5)) + 3. What is the greatest common factor of p and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -539*d + 9471 = 631*d - 3399 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*v**3 + 470*v**3 + 0*v**2 + 7*v**2 + 101*v**3 + v**2.\nAnswer: 557*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -27, -0.1, 2\/3, -0.06, -42?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-30))\/(6\/(-27)). Let v be (24\/(-160))\/((-6)\/(-4)). What is the second smallest value in c, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - 0 - (2 - 0). Let l(g) = g + 12. Let k be l(v). Suppose 0 = -4*c - k, -c + 2*c = -4*p + 141. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21026 - 1156472\/55. What is the common denominator of o and -36\/35?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2\/5 + 27504804*o\/5 + 94564280384802\/5.\nAnswer: 2*(o + 6876201)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-20)*(-4)\/15. Let v = 23837\/113540 + 102\/811. Let n = v + -3\/35. Which is the closest to 0.1? (a) u (b) n (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0397 + -0.1603. What is the smallest value in 3\/4, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -482*s**5 - 154685*s + 154685*s + (-3*s**2 + 3*s**2 - s**2)*(-3*s**3 + 4*s**3 + s**3).\nAnswer: -484*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.6375 and 30.\nAnswer: 19.125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 2*l + p, -3*l - 2*p + 201 = -7*p. Factor -t + 2*t**2 + 3*t + 14*t + 7*t - l - 5*t.\nAnswer: 2*(t - 3)*(t + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1085\/(-465)*(-45)\/14*5\/((-75)\/108).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 10 - (0 + 2 + 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -26, 2, 5 in ascending order.\nAnswer: -26, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/443186 and -43\/12543?\nAnswer: 1329558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1\/(4\/6*(-1)\/(-46)) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1686359, -1686319, -1686251, -1686155, -1686031?\n\"Answer: 14*h**2 - 2*h - 1686371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2620 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p - p**4 + 4*p - 23*p**4 + 2*p**4 - 28443*p**3 + 28439*p**3 + (-p**2 + 4*p**2 - 2*p**2)*(-3*p**2 + 3*p**2 + p**2).\nAnswer: -21*p**4 - 4*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = d - 3*x + 14, -5*d + 2*d + x - 2 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*q - 536 = -116 for q.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 131 - 56 - 57 + 33*f**2 - 25*f**2 - 18*f**2 to p*f**2 + s*f + g and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215262, -215341, -215550, -215955, -216622, -217617?\nAnswer: -219006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 3*y + 3*y**5 + (-2*y + 3 - 3)*(3 - 3 - 4*y + (3 - 1 + 0)*(y + y - 3*y))*(2*y**3 - 2*y**3 + 2*y**3).\nAnswer: 27*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2\/9, 4\/5, -169816.5 in decreasing order.\nAnswer: 4\/5, 0.3, 2\/9, -169816.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4*((-2125)\/(-238))\/(-125). Let i = 70 - 488\/7. What is the nearest to f in 0.1, -0.07, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 166*x + 5. Let m(i) = -498*i - 16. Let t(h) = 3*m(h) + 10*s(h). Let n be t(5). Let w = n - 16619\/20. What is the common denominator of w and 79\/14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -12. Let h be 3 - ((0 - 0) + 1). Let t be ((-1)\/(-2))\/((-2)\/4). Which is the third biggest value? (a) h (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s + 7. Let w(q) = -q**2 + 11*q - 10. Let k be w(8). Suppose -5*x + 9 + k = 4*a, x = -2*a + 1. List the prime factors of f(x).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 - 19*k**2 + 22*k - 17. Is u(14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dnm when three letters picked without replacement from {m: 2, p: 1, j: 2, i: 5, n: 5, d: 1}?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*c + c + 235 = 0, 5*k = 4*c + 1164. Let h = 84909 - 84891. What is the lowest common multiple of h and k?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, z: 12, t: 2}. What is prob of picking 2 t and 2 m?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1792 divided by -1792?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -7 (c) 2\/5 (d) -12 (e) -1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 126 or 1392\/11?\nAnswer: 126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-29)\/((-8700)\/(-280))*(-5)\/((-5)\/3)\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94 (base 16) to base 4.\nAnswer: -2110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11001 + -101110111110111?\nAnswer: -101111000010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.8? (a) 0.1 (b) 8 (c) 1 (d) -310 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6176353 to the power of 1\/2, to the nearest integer?\nAnswer: 2485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/5 - (-64)\/20. Suppose -5*p - o*y = -2 + 17, -4*y = 2*p + 20. Suppose 3*t - 3 = p, 0*t - 2*t = l - 5. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -205 - -217.3. Let t = 12 - r. What is the nearest to -1 in t, 3\/2, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 170473827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**2 - 134 + 133 + 7*p**2 + 3*p + p**2 - 3*p - 4*p**2 - 2*p**2 + 5*p**2 + (-p - 2*p + 5*p)*(-2*p - p + 2*p) + 3 - p**2 - 3.\nAnswer: 9*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42409576?\nAnswer: 2, 11, 587, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -2*f + 88. Let z(j) = -101*j - 110*j - 124*j + 380*j. Determine y(z(q)).\nAnswer: -90*q + 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.269 + 6.731. Let l = -33\/2 + 17. What is the nearest to l in -12, -0.5, p?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 3:05 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 19 = 6, 0 = 4*n + 5*o - 635. List the prime factors of n.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 0\/(-3) - (-49 + 0). Let v = 60 - d. Let l be 1*v - (-10)\/10. Calculate the greatest common factor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15864, 15865, 15866, 15867, 15868, 15869?\nAnswer: 15870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 1:28 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 times 0.05?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from whwwhwwhhhwwhwwwhhhh. Give prob of picking 3 h.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 196864, 196866, 196870, 196876, 196884, 196894?\n\"Answer: a**2 - a + 196864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k + 2*z + 408, 0*k - 632 = -3*k - 2*z. What is the remainder when k is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*j = -19 - 61, 2*p = -5*j + 156. Let t = 41086 - 41054. Calculate the highest common divisor of t and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3\/12*44\/(-55)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5761 is divided by 5500?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 9*w**3 - 84*w**2 + 159*w - 84 = 0.\nAnswer: 1, 4\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 918 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142923 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*(-2*(sqrt(2299) + 0 + 1)*6)**2.\nAnswer: -11923200 - 114048*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (28\/(-105))\/((-6)\/(-5)). Let g = -27.5 + -8.5. What is the smallest value in g, h, 3\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -6 + 2 + (-4 - -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -27 + 41. Let o = 32 - w. Let f = -12 - -16. What is the lowest common multiple of o and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8286149 divided by -6?\nAnswer: 8286149\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11012337.\nAnswer: 3, 7, 174799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-5)*(10 + 0). Suppose 2*l - 5*g + 10*g = -25, 0 = 4*g - 4. What is the units digit of (m\/l)\/((-2)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35757595.\nAnswer: 5, 97, 73727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of -y**6\/45 - y**5\/5 - 11*y**4\/18 - 2*y**3\/3 - 25*y + 15. Let s(l) be the first derivative of u(l). Let s(q) = 0. Calculate q.\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.33 - 54.33. Let q = j + 50.7. Let m = q - -0.3. Which is the second smallest value? (a) m (b) 0 (c) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55857625*g**3*n - 595*g**2*n - g**2 - 3*n + 34 wrt g?\nAnswer: -335145750*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of -u**2 + 46*u - 53. Let w be v(16). Solve 9 - w = -k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31313132 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -576 divided by -8.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 + 1760 = 122*k + 23*k for k.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -20.89. Let u = 0.19 + g. Which is the second biggest value? (a) u (b) -2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 (base 11) to base 4\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 49 + (-63 - -45) + -1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -5*p**2 - 4*p - 4. Suppose -4*g + 4 = 2*q, 3*q + 2*g + 8 = 2. Let x(b) = 14*b**2 + 11*b + 11. Let w be (-150)\/14 - 4\/14. Determine q*x(d) + w*n(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 502751 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/4 of a kilogram in grams?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**5 + 2850*v**4 - 935046*v**3 - 9611450*v**2 - 8673552*v = 0. Calculate v.\nAnswer: -9, -1, 0, 536, 899","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*f**3 + 55*f**3 - 17*f**3 - 20*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (5 - (-21)\/(-28))\/(4\/416) is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, f: 4, u: 3}. What is prob of sequence fx?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 h when three letters picked without replacement from {l: 10, j: 4, h: 6}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + 1 + (1 - -11). Suppose -3*d = -5*d - 4*v + w, -d = 4*v - 5. Let f = 68 - 60. Calculate the remainder when f is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -784, -5, 228907 in increasing order.\nAnswer: -784, -5, 228907","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/7 + (21 - 3227\/147))*-3. Let n be (24\/(-10))\/(8\/(-20)). Solve 2*f + n = 4*f + y*d, 0 = f - d - 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 324618 is divided by 162293?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 378 and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) 0 (c) 2.1 (d) -1231 (e) -2\/7 (f) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 33 + 18 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/52044 and -143\/11178.\nAnswer: 96957972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = t - 0*t - 2*j, 5*j + 56 = t. Suppose 11*w - 32 - 45 = 0. Calculate the remainder when t is divided by w.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(99)\/sqrt(144))*-1.\nAnswer: -sqrt(11)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 14*d = -3 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.343986138 to three dps.\nAnswer: -0.344","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -189, -1, -2 in decreasing order.\nAnswer: -1, -2, -189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**3 + 7*y - 2. Let x be v(-5). Let q be x\/(-30) + 6\/10. Suppose -4*i = -q*i + 86. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 20918402, 41836809, 62755216?\n\"Answer: 20918407*v - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -4*k + 5. Let x(y) = 9*y - 9. Let l(s) = 9*v(s) + 5*x(s). Let p(i) = 30*i - 58. Let a be p(2). Let u(n) = 3*n + 8 - 6 - a. Calculate u(l(f)).\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/8*1360\/12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -1)\/(-3) + 5*22\/(-165).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 249 and 7.\nAnswer: 1743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 + 79.9. Let m = 1.9 - o. Which is the nearest to -0.1? (a) -3 (b) m (c) 23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -1\/9*z**3 - 3*z + z**2 + 2. Factor l(d).\nAnswer: -(d - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152*m - 1 - 212*m + 109*m)*(-7 + 4*m + 7).\nAnswer: 196*m**2 - 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -3, 0, -57 in increasing order.\nAnswer: -57, -3, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/18*1 + -2 + (-140)\/(-90).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -4*y**2 - 16*y. Let j(f) = 878*f + 28. Let a(t) = -120*t - 4. Let k(l) = -22*a(l) - 3*j(l). Determine k(i(o)).\nAnswer: -24*o**2 - 96*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-20)\/8)\/((-1)\/2). Suppose 0 = 4*h + 3*q + 12, 2*q = -2*h - z - 1. Put 0, 4, h in increasing order.\nAnswer: h, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fiis when four letters picked without replacement from {g: 1, i: 3, f: 6, q: 3, s: 5}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3291 and 814.\nAnswer: 2678874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 54*o + 2. Let c be x(3). Suppose 7*t - 4*m - c = 2*t, -28 = -t - 4*m. What is the greatest common factor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 9:15 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 90 - 75. Suppose 0 = -3*a + 2*t - 3*t + 18, -4*a + 24 = t. Let m be (15\/a)\/(1\/54). Calculate the greatest common divisor of f and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 m, and 1 n when three letters picked without replacement from ygnmm?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1246 (base 12) to base 4.\nAnswer: 200112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 1:53 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1380622 (base 11) in base 14?\nAnswer: -45a90c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*f - 69*f = -16. Solve -2*i + 5*l = 19, 14 = -i - 0*l + f*l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 210213 + 1?\nAnswer: 210220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 11*g + 2. Let o be x(-11). Let h(d) = 4*d + 1. Let z(v) = -21*v - 5. Let s(t) = o*z(t) + 11*h(t). Let y = -11 + 9. Determine s(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3042, -3043, -3044, -3045?\nAnswer: -3046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*6*(-3 + 2). Let y be (2\/x)\/(4\/(-24)). Is 763\/21 + y\/(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*a = -483, -497 = 7*o - 10*o + a. Calculate the highest common divisor of o and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58 + -57.6. Let k be ((-1)\/9)\/(2\/(-4)). What is the closest to 2\/7 in p, -4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -47*d**6\/15 - 229*d**3\/6 + 2*d**2 - 29. Find the first derivative of h(z) wrt z.\nAnswer: -1128*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -2\/351 (b) 1\/2 (c) 0.7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1475151 is divided by 42145.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 43. Sort 1, -3, -4, q.\nAnswer: -4, -3, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29159710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 10. Let b be s(11). Let n(j) = j**3 - 21*j**2 - 53*j + 54. Let w be n(b). Are w and -107 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 188*h + 15. What is the hundreds digit of b(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2c (base 15) in base 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 414, 365, 316?\nAnswer: 267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4311 - 8*g + 5*g - 4311.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 - 13304*u**3 - 22127264*u**2 - 8288622208*u.\nAnswer: 2*u*(u - 8084)*(u + 716)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of 0*k**4 + 0 - 3*k**2 + 0*k**3 + 21*k - 1\/20*k**5. Let a(n) = n**2 + 39*n. What is a(i(t))?\nAnswer: 9*t**4 - 117*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 31377639927.6 - -35\nAnswer: 31377639962.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -12. Let l = 49\/3 - 16. Which is the second smallest value? (a) u (b) -0.013 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*q + 65154, b + 62456 + 2701 = 2*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287267625 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ohpo when four letters picked without replacement from htozpohhhhoohhh.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3) + 0 + -4 - -6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*0.385644.\nAnswer: -0.1542576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17? (a) 1\/4 (b) -2\/9 (c) -0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1120 and 42455.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -88634508*m**2 + 146446480*m wrt m?\nAnswer: -177269016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 495972 + -16.2\nAnswer: 495955.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 12*k**3 - 60*k**2 + 3*k - 8. Give t(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 10*b**2 + 16*b - 12. What is f(9)?\nAnswer: 1671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h. Let i = -1 + 6. Calculate c(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11.766 - 6.766. Which is the third smallest value? (a) -0.5 (b) 10 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 24.2. Let k = x - -3. Let w be ((-6)\/(-12))\/((-2)\/12). What is the smallest value in w, k, 4\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27610733 to the nearest integer?\nAnswer: 5255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126755.\nAnswer: 5, 101, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1377) + 3 - (-1 + sqrt(1377) + 0 - sqrt(1377)))**2.\nAnswer: 72*sqrt(17) + 1393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -14\/265 - 16583\/2120. What is the common denominator of f and 59\/46?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 5*y**2 + 4*y + 3. What is the units digit of b(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000004135 rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t + 4. Let b be 2\/(-6) - (-2)\/6. Let v be s(b). Suppose 0 = -p + 4*q + 13, q = -3*q - v. What is the remainder when 25 is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 468966 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 217? (a) 3 (b) 2 (c) -5\/2 (d) -139 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2292092 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of -5\/6*a**3 + 0*a**2 + 0*a**6 + 5\/42*a**7 + 0 - 5*a + 0*a**4 + 0*a**5. Find the second derivative of v(d) wrt d.\nAnswer: 100*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 z when two letters picked without replacement from {e: 2, u: 1, z: 2, k: 6}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100)\/350*(8\/(-6))\/(6\/(-7))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 9725 = 5*q + 5*p, 5*p = 10. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 624 is divided by 307.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**3 + 6*t**3 + 5*t**3)*(-19*t**2 + 40*t**2 + 7*t**2) - 6*t**5 + 9*t**5 + 14*t**5.\nAnswer: 213*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 51233044 (base 6) in base 15?\nAnswer: 1de787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 144, 0.059, 2?\nAnswer: 0.059","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 + 59636*j - 29 - 59635*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -88 - 20*b - 2 + 122*b wrt b?\nAnswer: 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -483, -944, -1405, -1866?\nAnswer: -2327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/4 and 61\/4653?\nAnswer: 18612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 - 14. Let t(q) = 10*q + 12. Let s be t(-8). Let g = s - o. What is the remainder when g is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1350*f**2 + 29220 + 1365*f**2 + 4*f - 29220. What is g(3)?\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/7))**(2\/11)*q**(-2\/9)*q*(q*q**12\/q)\/q assuming q is positive.\nAnswer: q**(8252\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46 = -369*d + 378*d + 4*q, -3*q - 24 = 5*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -540*a**3 - a**2 + 3*a + 2. List the prime factors of x(-1).\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*p + 5*p**3 - 1599*p**2 + 1599*p**2 wrt p?\nAnswer: 30*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17509117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -1\/8, 1, -5, -1.14, 13 in ascending order.\nAnswer: -12, -5, -1.14, -1\/8, 1, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -1\/66*v**4 - 1\/132*v**6 - 2*v**2 + 0*v - 7\/330*v**5 + 0 + 0*v**3. Factor c(n).\nAnswer: -2*n*(n + 1)*(5*n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 456, 457, 460, 465, 472, 481?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8*(75\/12)\/25. Sort d, -5, 1, 5, -61 in increasing order.\nAnswer: -61, -5, 1, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, m: 1}. What is prob of sequence mc?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)*2)\/sqrt(8) - (0 + sqrt(28)*-2))**2*5 - (sqrt(77)*-1*1 + sqrt(77))\/(sqrt(77)\/(sqrt(112) + sqrt(7)) - sqrt(11) - sqrt(11)).\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + 213604160?\nAnswer: 213604162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3185 + 3185 - 24*k - 6370.\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 6, t: 2, v: 3, u: 5, i: 1}. What is prob of picking 2 u?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 369098564?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 308932 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 7*n + 8. Let h be c(-3). Let v be (h\/10 + 16\/40)*-1. Let k = -904\/299 - -66\/23. Is v bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -458 divided by 38?\nAnswer: -229\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -14 + 14 - 8*x + x**4 + (3*x - 2*x + x)*(0*x**3 - 4*x**3 + 2*x**3) as o*x**2 + b*x + v*x**3 + n*x**4 + q and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 60*w**3. Let f(r) = r + 5. Let q be f(-6). Let d be t(q). Let p = d + 271. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - v - 8, -8 = -4*v - 4. Let r be (-136)\/i + (-2)\/(-3). Let g = r - 32. What is the remainder when 53 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 0)*227\/2. Let n = 318 + w. Is 13 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.6 - -0.6. Let g = -24 - -15. Let n = g + 9. Which is smaller: n or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 101.919 - 102. Let c = -0.629 + g. Let j = c + 0.31. Which is greater: j or -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -472 (base 8) to base 12\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k + 3. Let y = -60 - -62. Let n(f) = 63*f + 21. Let j(u) = y*n(u) - 15*h(u). Give j(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2 - w. Suppose 0 = -a - 1 + 4. Suppose 3*u + a*j + 2*j = 23, -19 = -3*u - 4*j. Calculate v(u).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-20\/7)\/(t**(-37\/2)\/t))**(-40))**(-1\/13) assuming t is positive.\nAnswer: t**(4660\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 4520490.\nAnswer: -4520490","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 209405547.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*-1140.13.\nAnswer: 30783.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -g**5\/15 + g**4\/4 + g**3\/3 - 7*g**2\/6 - 2*g - 3020. Suppose k(a) = 0. What is a?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 2*n**3 + 2605. Let q(z) = -276*z**2. Calculate q(d(h)).\nAnswer: -9936*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 3 + 3 - 13*m - 17*m - 30*m + (m + m - 4*m)*(4 - 1 + 2).\nAnswer: -71*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the first derivative of 4\/3*o**3 + 3\/2*o**2 - 4*o + 5. What is the tens digit of p(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 1 = 0, 0*x - 2*l + 2 = -x. Suppose u + u - 10 = x. Calculate the remainder when 172 is divided by (u + -1)*560\/64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 2 = -5*g - 3*m, -6 = -2*g - 4*m. Suppose -q + g = 3. Solve 0 = q*v - 3 - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.01 - 0.05. Let u = o - -1.14. Let c = u + -6.1. What is the second smallest value in c, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 10*s**3 - s**2. Let i(c) = c**3 - 15*c**2 - 16*c + 1. Let z be i(16). Is 8 a factor of f(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2\/3 - 4331468*j\/3 - 186256822\/3 = 0.\nAnswer: -43, 2165777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(378) - sqrt(378)*-1*-5)\/(sqrt(384)\/sqrt(4))*-3.\nAnswer: 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b + 16. Let o(d) = d + 11. Does 10 divide o(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -62*o**7\/105 - o**6\/60 + 91*o**5\/20 - 14*o**2 + 13. Find the third derivative of f(g) wrt g.\nAnswer: -2976*g - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) 24139 (c) 0.3 (d) -4 (e) 0.4 (f) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c. Let n(b) = 7*b**2 - 12*b - 6. Let o(i) = 8*i**2 - 14*i - 7. Let a be (-6)\/(-63)*9*-7. Let u(m) = a*o(m) + 7*n(m). Calculate u(v(g)).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2 - (-28 - (-1 - 2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3454 or 3387?\nAnswer: 3387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5*l + 8*l + 3 - 3*l + 10*l - 8*l. Let y(a) = 7*a + 11. Determine 9*g(c) - 2*y(c).\nAnswer: 4*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 745?\nAnswer: 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(405) + 3 + sqrt(405) + 0 + sqrt(405) + (5*(sqrt(405) + sqrt(405)*-4))**2).\nAnswer: 27*sqrt(5) + 91128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*c**6 - c**3 + 19*c**2?\nAnswer: 240*c**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nine tenths of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -4*u + 46, 3*u - 5*g = 37 + 4. Let t(c) = -2*c + 53. Let h be t(30). Let v = h + u. What is the greatest common factor of v and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 7:28 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 9*y - 28. What is b(-12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 + 38*a - 1. What is b(9)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t - 3. Determine r(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the first derivative of -2*d - 1 + 1\/5*d**5 + 3\/2*d**2 - 3\/4*d**4 + 1\/3*d**3. Factor r(b).\nAnswer: (b - 2)*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19 and -0.494.\nAnswer: -19.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 9*w + 30. Calculate the smallest common multiple of 33 and b(0).\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -2*f + 6, -5*k = -6*k + 5*f - 26. Suppose -2*w + 15 = 5*y - 18, -5*y = 5*w - 45. Sort k, w, 2.\nAnswer: k, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.27 in 0, 8, 0.14?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21ca (base 15) in base 8?\nAnswer: -15775","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 83476 divided by 4?\nAnswer: 20869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k - 7*k + 15 + k in the form f*k + u and give u.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1608349726.\nAnswer: 2, 43, 179, 104479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 3*h = 3*t + 43, 2*t = h + 23. What is the remainder when (-1)\/(1\/(-29)) + -4 is divided by t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in minutes?\nAnswer: 15840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61f2 (base 16) to base 2.\nAnswer: 110000111110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*p = -37*p + 5*u + 16, 36*p - 2*u - 424 = 0 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49447 - 49447 = 3954*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*v + 352*v = -4641 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2050 times -6.1509\nAnswer: 12609.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 2*b - 2, 600*b - 598*b = -4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) -7899.29 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 10*s = -s - 20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70)*1 - sqrt(70)) + sqrt(70))*4)\/sqrt(10).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 826518152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 3*w**3 - w**2 + 5*w + 5543. Let z(v) = -5*v**2 + v - 3. What is 3*l(r) + 5*z(r)?\nAnswer: 2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1285*k = -4*h + 1287*k, 3*k = -30 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 1:07 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1734051, -1734035, -1734019, -1734003?\nAnswer: -1733987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 + 5*z**2 - 2*z + 7. Let t(f) = 3*f**3 - 3*f**2 - 2*f - 1. Let h be t(-1). Give l(h).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67 divided by 3?\nAnswer: -67\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 4*r. Let j(o) = -o + 14. Calculate the remainder when 39 is divided by j(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 14*v + 27. Let y be t(13). Suppose -5*q + 198 = -2*q + 3*d, 5*q - 5*d = 370. What is the highest common divisor of y and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32038*y**2 - 23978*y.\nAnswer: 64076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-75 + 18 - -59)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 5. Suppose -3*y = 0, 5*z - i*y = 2*y. Let u = 3.3 + 0.7. Which is the third biggest value? (a) z (b) -2\/7 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -82, -162, -242, -322, -402, -482?\n\"Answer: -80*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p - 8. Suppose 2*j + 8 = -2*t, 5*t = 4*j + 1 + 33. Let y be r(j). Suppose y*d - 562 - 10 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1327 is divided by 184.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2573139?\nAnswer: 3, 857713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 24 = -6*j. Let p be -32*(16\/(-6))\/j. Do p and -11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -77 - -129. Let l = 6056 - 6030. Calculate the highest common divisor of c and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*x - 3. Let s(q) = -q**2 + 11*q - 8. Let p(t) = t**2 + 4*t + 5. Let z be p(-5). Let j be s(z). Which is the biggest value? (a) j (b) x (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 1191968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 3, -0.4, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 776164, 1552372, 2328580?\n\"Answer: 776208*g - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 9 = -21. Suppose 0 = -j*r - 15, 3*z = -0*z - 4*r + 274. Is z a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 13*w**2 - 3*w - 49. Calculate m(10).\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -126.5 times -2202?\nAnswer: 278553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/75 of a minute?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 9*j = -8*j - 320, 8*g - 11*g + 4*j - 149 + 214 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 717 - 469. Suppose -r = -4*o + 6*w - 4*w, -5*o = 2*w - 319. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1253 + -333?\nAnswer: 620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.41 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20196 and 512028?\nAnswer: 8704476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 3:32 PM?\nAnswer: 3:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (6 - 18\/4)\/(3\/10). Suppose 0 = -c*f - 0 + 25. Find the first derivative of -72 + f*w**3 - 4*w**3 + 58 + 7*w**3 wrt w.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1081 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, c: 4, r: 5, s: 4, l: 1}. What is prob of picking 2 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1634 is divided by 433.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 4*v + 1. Let o be t(-5). Let y(b) = -b**3 + 34*b**2 - 36*b + 47. Let s be y(33). Let r = o - s. What is the remainder when r is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -30 - -7680?\nAnswer: 7650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -155*h + 79*h - 3*h**2 + 80*h. Let m(p) = -p**2 + p - 1. Let n(v) = -v**2 + 8*v - 13. Let k be n(6). Give k*z(g) + 4*m(g).\nAnswer: -g**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q. Let f be 5817\/28*(-40)\/(-3). Let t(w) = -37*w - 2770 + f. Give u(t(o)).\nAnswer: -148*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -322168, -322124, -322078, -322030, -321980, -321928, -321874?\n\"Answer: v**2 + 41*v - 322210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 98770127983 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 71090140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -5. Let u be 21\/6*-14 - a. Let t = u + 63. What is the remainder when 20 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v**5 + 11926850*v**4 = 0. What is v?\nAnswer: 0, 2385370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31638?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 - 9*b**4 + b**4 + 3*b**4 + (3*b**2 - b**2 - 3*b**2)*(4*b**3 - 3*b**3 + b**3) + 2 - 2 + b**5.\nAnswer: b**5 - 5*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -309, -2, -0.4, -123, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 744420*k**3 - 135 + 135 - 744424*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1318085 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: Product of 3.63 and -2.6.\nAnswer: -9.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 15 = -3*x, -5*x - 27 = 23*d - 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -2402\/9 (c) 1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jhx when three letters picked without replacement from hjkxkxjwm?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-11)*11)\/((-20)\/(-140))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, i: 1, w: 1}. Give prob of sequence jwi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 q, and 1 o when four letters picked without replacement from yoixiiiqiq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.35? (a) -2\/21 (b) -0.1 (c) -5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -48*(-70)\/(-420)*6\/28?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 32453 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 32*a**2 + 14*a + 18. Let r(o) = -o**2 - o - 1. Let q(f) = 12*r(f) + v(f). List the prime factors of q(-3).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1891.34807?\nAnswer: 1889.34807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -219153500 rounded to the nearest 100000?\nAnswer: -219200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 y when two letters picked without replacement from nsoszpozyyppzyo.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.063005 times -0.3\nAnswer: -0.0189015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1531\/11 + -139. Let v = -0.005 - 0.095. What is the closest to 1 in u, -5, v?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 786 = 156. Does 14 divide ((-3)\/2 - 0)\/(7\/j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 318016\nAnswer: 1590080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 24*h**2 + 212*h + 12. Let y be m(-9). Suppose 5*x + 44*n - y*n - 22 = 0, 0 = 3*x - n - 9. Solve 0 = l + 2*z - 6, -2*z - z + 23 = -x*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -0*l + 5*i + 61, -5*i = -5*l + 115. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 560351 (base 9) to base 14.\nAnswer: 8a096","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l**3 - 80*l**2 + 868*l - 784 = 0. What is l?\nAnswer: -28, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + c = 354 - 363, 18*r - 73 = c for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3745228*j + 3745231*j - 7490456*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (-15 - -17) - 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 10 - -808129.\nAnswer: 808139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 267*b = 272*b - 4110. What are the prime factors of b?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 232*m - 230*m - 2*k + 10, 2*m + 14 = 4*k for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 69973 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 3, -8 in ascending order.\nAnswer: -8, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 19*y**2 - 1. Let m = 134 - 191. Let j = m - -58. Let b be d(j). What is the greatest common divisor of b and 144?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25254872 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 + 1. Let w(l) = 5*l**2 - l + 4. Suppose 0 = -b + 14*m - 13*m + 3, -4*m - 10 = -2*b. Give b*w(n) - 2*p(n).\nAnswer: 3*n**2 - n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -139b7273b - 4?\nAnswer: -139b72742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.004, -3\/22, 2 in decreasing order.\nAnswer: 2, 1, -0.004, -3\/22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18640, -0.544, 4 in decreasing order.\nAnswer: 18640, 4, -0.544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s - 3*s + 2*s)*(-2 + 0 + 3)*(-2 - 4*s**2 + 2)*(3 + 26 - 10) to the form y*s**3 + n*s + j + r*s**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, s: 4, x: 1, c: 1}. Give prob of sequence xc.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p + p + 609 + p - 508 - 5*p to the form c + m*p and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -174.9999415 - -175. What is q rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -97.\nAnswer: -4\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*z**4 - 25*z**4 - 22*z**4 + 25*z wrt z?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4007.4 plus -227.09408?\nAnswer: 3780.30592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*r**2 + 8 - 5*r**2 - 5*r - 3 - 3*r**2.\nAnswer: -4*r**2 - 5*r + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 366 and 72462?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 14*u + 26. Let t be h(-12). Is -6 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10040291 is divided by 31773.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.23? (a) -4 (b) 5 (c) 8 (d) 0.5 (e) 1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 308*o**5 + 10*o**4 - 9*o**2 - 152*o - 5. Let q(l) = 2*l**4 - 2*l**2 - 1. Let c(i) = h(i) - 5*q(i). Find the third derivative of c(z) wrt z.\nAnswer: 18480*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -44*h**2 + h. Let t(f) = -7*f. What is t(x(c))?\nAnswer: 308*c**2 - 7*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06525 take away 0?\nAnswer: -0.06525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {a: 3, y: 4}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 222278 in -4, 0.1, -5, 0, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 789.9415 * 1.\nAnswer: 789.9415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9370.9759 + -9371. Is h greater than or equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.16 and 50.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 6:28 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sp when two letters picked without replacement from {p: 1, l: 1, z: 1, s: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 906 - 703. Calculate the remainder when s is divided by 41.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i + 3422 - 136753 = 0. Is 37 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.3 (b) -2 (c) -0.014\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/1*(-9)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8 - 973\/(-21))\/(2\/168*7). What is the highest common factor of z and 3956?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 608.4865l?\nAnswer: 608486.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120544389 to the nearest integer?\nAnswer: 494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + -16. Suppose -i*y + 39*y + 18 = 0. Does 8 divide (-4)\/((2\/y)\/((-15)\/(-3)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (92 - 8) + (-8 - -41)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/18 + (-8)\/(-36). Let c = 4703\/33068 + 3\/4724. Factor 0*k + c*k**2 + 1\/7*k**4 - 2\/7*k**3 + r.\nAnswer: k**2*(k - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 2*g**3 + 6*g**2 + 5 - 3*g**3 + 4*g + 4*g. Suppose 5*v = 3*v + 14. What is the remainder when r(v) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1345 - -144542?\nAnswer: 150331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 9102922843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**3\/3 + 11*f**2\/2 - 2*f - 1. Calculate the remainder when 3\/((-3)\/(-30)*2) is divided by k(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12908902967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 488*f**3 + 2933*f**2 - 11*f - 236. Calculate s(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 7:10 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 9*x**2. Suppose 2*u + 10 = 5*r, 4*u = 7*u. Let s(j) be the third derivative of 0 + 0*j**3 + 0*j - 3*j**r - 1\/12*j**4. Calculate s(c(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.02 (b) -24 (c) 4\/13 (d) 0.5 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 5*x - 25 + 13 + 6.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a meter in millimeters?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.05848 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*w**5 + 19*w**5 - 4*w**5 + (2*w - 2*w + w)*(-w**4 + 0*w**4 - w**4) + (-4*w**4 + 6*w**4 + 0*w**4)*(-2*w + 4*w - 5*w).\nAnswer: 13*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - (-3)\/(-6)*0. Let i be z*1\/(-2)*0. Suppose l + 130 = 5*t - 4*l, -3*t - 5*l + 46 = i. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 7:24 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.348 - -27102?\nAnswer: 27079.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/4 - 22*p**2 - 331*p\/4 + 105.\nAnswer: -(p - 1)*(p + 5)*(p + 84)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 36\/21 + (-4)\/(-14). Suppose 0 = 4*f + 5*l - 2, -3*f + 16 = f - g*l. Let v = -3 + f. Solve 3*j + v = -3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yzhhyyzydhyhhhyhzz. Give prob of sequence zzhd.\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 - -1) + 8 + 3. Let g(w) = w**3 + 8*w**2 + w - 13. Let c be g(-4). Suppose -6*n = -c - 13. Is q less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 0 + 0*d**4 + 41\/20*d**5 - 19*d - 11\/3*d**3 + 0*d**2. Find the second derivative of b(s) wrt s.\nAnswer: 246*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence onz when three letters picked without replacement from {n: 1, z: 1, o: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one sixteenth of a milligram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)\/(m\/(((m**19*m)\/m*m)\/m)) assuming m is positive.\nAnswer: m**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33, -46, -59, -72, -85?\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21144, 21076, 20898, 20556, 19996, 19164, 18006, 16468?\n\"Answer: -9*u**3 - u**2 - 2*u + 21156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -5\/2*o**2 + 7\/3*o**3 + 0*o - 12. Find the second derivative of k(h) wrt h.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-9)*-9)\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 513 - 513.0001855. What is w rounded to 5 decimal places?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*s**3 - 381833*s**2 - 1119944*s?\nAnswer: -12*s - 763666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3804 + -3803. Sort -2, 0, 133, n in ascending order.\nAnswer: -2, 0, n, 133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*a - 5*t - 158, -14*a + 26*t - 319 = 24*t + 21 for a.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 7:07 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -13*(4 + -1 + -4). Suppose d = m - 0. What is the remainder when 25 is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 - -28.58\nAnswer: 28.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -5, 1955, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 26*k**5 - 1356*k**4 + 22976*k**3 - 172224*k**2 + 588800*k - 749568 = 0?\nAnswer: 4, 8, 366\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91 + -92. Let l be 0 - (-1 + (-2 - -3)). Let o be (2 - l)*-1 - -6. Which is the nearest to -5? (a) g (b) o (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4041757 (base 9) to base 12\nAnswer: 87a1a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4368 and 313404?\nAnswer: 1253616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = m + 28. Let b = m - 0. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 605616511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 + 4*w**2 - 5*w**2 - 5*w**2 + w**2.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -0.1 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 311 and 18878944?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 13. What is the remainder when m is divided by (1 - 1 - 55\/11) + 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/((-270)\/187) - 7. What is the fourth biggest value in 4, -1, 1\/17, s?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/3 - 19*j\/3 + 20\/3.\nAnswer: -(j - 1)*(j + 20)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 - (3 - 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.9 and 58322922819.\nAnswer: 58322922820.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 5*m - 12. Let l be y(6). Let w = -7 - l. Let q(f) be the first derivative of f**2\/2 + f + 1. Calculate q(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/69007120 and 3\/38.\nAnswer: 1311135280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4216 is divided by 4215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(378)\/sqrt(6))**2*-5 + (3*sqrt(2268) - sqrt(2268))\/sqrt(9).\nAnswer: -319 + 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/10*(-195)\/(-156)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000111100111 (base 2) in base 3?\nAnswer: 20021202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 3871 = 25*w - 22*w, 0 = 5*t - 3*w - 9646. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69896 is divided by 42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -26128050 divided by -522561?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v - 13627 = -13643. Solve 8 = -v*f + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 2. Let n = i - 3. Put n, 4, -2 in increasing order.\nAnswer: -2, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 1. Suppose 3*c + 2*i + 1 = 0, -3*c - 2*c + a*i = -11. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**21*l*l*l\/(l\/l**(-3\/19)) assuming l is positive.\nAnswer: l**(434\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 680 - 716. Suppose 0 = -2*b - v - 75, -2*b + 6*v = 9*v + 81. Is p greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 3:38 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -104. Let n = 31.00026 + g. Round n to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + (-3 - -2) + -4 + 7 + 4.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 8*v**3 - 6*v**3 + 4*v + 3*v**2.\nAnswer: -v*(v - 4)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2\/31, -0.143, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10313004 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -1.4. Let k = -2 + w. Let c = 0.2 + -0.2. Put c, -2, k in decreasing order.\nAnswer: k, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - 3*f**3 + 0*f**3)*(-2 + 0*f + 0 - 2*f + (0*f - 4*f + 3*f)*(-4 + 4 - 1)).\nAnswer: 3*f**4 + 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 3*d + 24 = 0, -5*d + 9 = -6. Let s = 14 + l. Calculate the remainder when 59 is divided by s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -d2 (base 14) in base 5?\nAnswer: -1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 169\/2644 and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together 125240.668216 and -3.\nAnswer: 125237.668216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 17. Let q be (-8 + 12)*14\/k. Let p(g) = g**2 + 5*g - 7. What are the prime factors of p(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243251 to the power of 1\/2, to the nearest integer?\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 76\/8 + 1 - 3\/2. Solve w = 2*y + y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m**5 - 168*m**4 + 3246*m**3 - 25320*m**2 + 75159*m - 52920 = 0. Calculate m.\nAnswer: 1, 5, 8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + ((-4)\/(-4) - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + (1 + 7)\/2. Suppose 15 = 4*y + w*f - 2*f, -2*y + 8 = 2*f. Determine j, given that j**2 - 3*j - 1 + y*j = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 5)*2 + -2. Let i = -8 - b. Suppose -k = -i*k + q + 53, 0 = 5*k - 4*q - 93. Calculate the remainder when 66 is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57 + 44. Let r = 2 - m. Let t = 7.9 - 8. Is t >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 1)*(4*v + 0*v - 2*v) + 3*v + 0*v - 2*v + v + 4*v - 4*v)*((2*v - 3*v + 2*v)*(v + 3 - 3) - 2*v**2 + 3*v**2 + 0*v**2).\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12935 - 12897. Calculate the remainder when 148 is divided by o.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/4 - (-84)\/(-42). Which is the third smallest value? (a) -5 (b) 29 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**2 + 2*h + 4. Let z be y(0). What is the second derivative of z*b**3 + 6*b - 3*b**3 - 3*b**3 wrt b?\nAnswer: -12*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p + 12. Calculate z(6).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 390*i - 7605.\nAnswer: -5*(i + 39)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 16, 396, 1518, 3754, 7476?\n\"Answer: 62*k**3 - k**2 - 51*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5090644*b**2 + 16561872?\nAnswer: -10181288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -212 + 211. What is the biggest value in b, 0.11, -1\/3?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**5 - 640*o**4 - 3238*o**3 - 3908*o**2 + 2584*o + 5200 = 0.\nAnswer: -2, 1, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (497\/28*-1)\/(1*2) and 2 + -4 + (-142)\/(-48).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000400061 to 6 dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3*r = -66, 4*p = -p + 2*r + 110. Let a(h) = -20*h**2 + 4*h**2 - p*h**2 + h**2. Let z(x) = -x. Give z(a(n)).\nAnswer: 37*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 8 - (6 + 0)) + -2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*r - 4. Suppose -1352 = -4*o + r*o. Suppose -2*j + 5*v - 101 = -o, -3*v + 1189 = 4*j. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((5 + sqrt(1300)*-4)**2 - sqrt(1300)) + (3 + sqrt(1300) + -3)**2)*2.\nAnswer: -820*sqrt(13) + 44248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5609.\nAnswer: 71, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-22)\/33)\/(2\/(-45)). Suppose 12*b - 15*b + x = 0. Solve b*s - 5*o - 35 = 0, 5*o = 4*s - 17 - 13 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 - 55 + 138*h**2 + 136*h**2 - 272*h**2 in the form x + w*h + a*h**3 + r*h**2 and give x.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00400434 to five decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 206\/829?\nAnswer: 206\/829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/12)\/((-2)\/(-4)))\/((-1237)\/((-133737018)\/3896))\nAnswer: -37\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + k**2 + 3 + 18 - 45. Let b be x(6). Solve 4 = 2*u - b*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*h - 76, 49*h - 53*h = -4*g + 180. Solve -44*u + 344 = -g for u.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 - 11*q + 50. Let w(n) = 2*n**2 - 7*n + 33. Let k(b) = -5*j(b) + 8*w(b). Let d be 2\/(-16)*-4*0. Let x be 0 - ((2 - d) + -2). What is k(x)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence khk when three letters picked without replacement from hppkkkhkkp.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 948 and 10365.\nAnswer: 3275340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iswdlwiifdwdfsi. What is prob of sequence fdfi?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78187216 divided by -457.\nAnswer: -171088","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 179*b - 283*b + 203*b to y + f*b and give f.\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 44. Does 6 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**4\/24 + u**3\/2 - 14*u**2. Let c(o) = 2*o + 7. Let p(q) = -3*c(q) + 5*m(q). Determine p(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v = -28*v - 3*b + 6542, 4*v + b = 13104. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {h: 5, y: 11}.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -84 + (25 - 128) + 115\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90.36 + -98.36. What is the nearest to 0.1 in 0, v, 4\/7, 65?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/(-8))\/(6\/(-28))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-9) - 2\/(-18)*-3. Let s be 4\/8 - (105\/(-66) - f). What is the third smallest value in 2\/7, s, 1\/2, 5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f = 21*f - 34. Suppose -3*m + 24 = -5*k, -5*m = 5*k - k - 3. Suppose -m + 5 = z. Calculate the lowest common multiple of z and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 19*m - 14*m. Let t(f) be the first derivative of 1\/4*f**4 - 4\/3*f**3 + 35 + 3*f - 3\/2*f**2. Give t(m).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7? (a) 3\/2 (b) 4 (c) -188 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/((-2)\/(-4))*(-1130)\/(-20) is divided by 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(1377) + -1)*6 + 0 + 0 + (sqrt(1377) - ((0 + sqrt(1377) - sqrt(1377)) + 3)))**2.\nAnswer: -1134*sqrt(17) + 67559","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 676 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 5*h = g + 236, h + 61 = -16996*g + 16992*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31752173 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3\/(-6) + (3 - (-183)\/6) and 6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6659?\nAnswer: 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4788*o**2 + 4788*o**2 + 323*o**3 + (1 - 3 + 0)*(-2*o**3 + 0*o + 0*o) + 3*o**3 - 3*o**3 + o**3 to the form u*o + r*o**3 + w*o**2 + f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -3*r - r - 7, 18 = 2*y - 3*r. Suppose i + 3*n - 6 = 0, 0 = y*i + 4*n + n - 26. Solve 0 = -2*q + p + 2*p - 21, q = -3*p + i for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518 = 14*h, -19593*h + 19595*h - 65 = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 60 = -3*h, -3*n - 3*h + 13 + 155 = 0. What is the remainder when n is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 290*b = 4*g - 283*b + 572*b - 75, b - 195 = -23*g + 3*b + 240 for g.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k**4\/4 + 63*k**3\/4 + 51*k**2 = 0. What is k?\nAnswer: -17, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 48*f**2 - 728*f + 3980. What is s(-61)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 AM and 5:24 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -28 (b) 8 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 141 - 123 = 0. Find the common denominator of -13\/10 and 385\/(-15)*k\/(-32).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.05, 0.2, 301?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of 7\/2*r**2 + 4*r + 0 + 2*r**3. What is the derivative of u(y) wrt y?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 238 - 244 = -2*b, 6727 - 279 = 462*j + 5*b for j.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -32 and 106.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-504)\/10)\/(2 + (-483)\/210) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.25, 51, 1\/2 in increasing order.\nAnswer: 1\/2, 1.25, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 + -17. Suppose -3*q = -2*u + 5, 0*q + 4*q = 5*u - 30. Let i = s - u. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 69055382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w**33)**(-26))**(-45))**(-45) assuming w is positive.\nAnswer: w**(-1737450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -2921.\nAnswer: 5\/2921","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 3*w - 12 = 0. Suppose 3*m = -w*s + 48 + 21, 4*m + s = 83. Solve -4*l + 5*l = 0, 4*v = l + m for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/4)\/((-170)\/(-640)*8). Sort a, 0.1, 10.3 in descending order.\nAnswer: 10.3, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nwawnbhwbwnwbhw. What is prob of sequence wwan?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 19*m - 1. Determine g(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 2\/5 (b) 2\/7 (c) 12 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34526*s - 35205*s + 2716 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/19))**(-2\/55)\/(y**(-2))**(-15\/8) assuming y is positive.\nAnswer: y**(-15811\/4180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**2\/8 - 16276191*j\/4.\nAnswer: -3*j*(j + 10850794)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 - v - 675*v**2 - 2*v**3 + v**3 - v + 2*v**3.\nAnswer: v**3 - 675*v**2 - 2*v - 118","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1474 is divided by (-7)\/(-14)*-1 + 1155\/14?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/7 - 4\/7*b**2 - 2\/7*b**3 + 2\/7*b = 0. What is b?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.008024 rounded to 4 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 280358790806.499999069 + -280358790967. Let l = 160.5 + i. What is l rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -5, 80 in decreasing order.\nAnswer: 80, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 217960*j**2*m**2 + 329*j*m**2 - 525*m wrt j?\nAnswer: 435920*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1729 and 266.\nAnswer: 3458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 greater than or equal to -3701\/42?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l + 4. Let p be b(-2). Let k = -10 + p. Suppose z = -k*z + 21. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 7:45 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.08, 1, -0.1, 3\/2, 1\/2, 427?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3544*i*v - 17533*v wrt i?\nAnswer: -3544*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 11*v + 29. Let s be m(13). Let n(d) = 11*d**3 + 4*d + 3. Let f be n(s). Let t = f - 218. List the prime factors of t.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -50*x**2 - 153*x + 793. Give s(5).\nAnswer: -1222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.098 rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 633 divide 1043184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + j**4 - 8*j**2 + 2*j**4 + 6 + 2*j**3 + 16*j**2 - 11*j**2 to the form l*j**4 + m*j + v*j**3 + f + o*j**2 and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1950162120?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5270 and 2909097970?\nAnswer: 5270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 12*u**2 - 8848*u + 2948 = 0.\nAnswer: 1\/3, 737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -5428 + 5316 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40 by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.427 + 4.523. Round o to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*i - 30 = 3*i. Suppose m + 4*m = -20, -i*u + 1577 = m. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 5. Let c(d) = 3*d**3 - 7*d**2 - 9*d - 11. Let u(t) = -5*t - 95*t**3 - 6 + 0*t + 97*t**3 - 4*t**2. Give y*c(f) + 7*u(f).\nAnswer: 2*f**3 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -291376200 rounded to the nearest 100000?\nAnswer: -291400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*d + 30 = -3*x + 2*d, -x + d = 2 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + 3 + 202 - 4. Suppose -3*r = -224 - u. Is 20 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2054502*p**4 - 1587439?\nAnswer: 8218008*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 3*n**2 - 48*n + 29. Let u be m(16). Let d(q) = -q**3 - 10*q**2 - 8*q + 7. Let c be d(-9). Sort u, c, -4 in decreasing order.\nAnswer: u, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1827*z - 528 = 3636*z - 1821*z for z.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 2012\/6805?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.772 and -0.65?\nAnswer: 8.9518","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 20*r**2 - 15*r - 22. Let n be v(21). Let o(j) = j**3 - 6*j**2 - 2*j + 5. Let a be o(6). Is 12 a factor of a*(2 - n\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 16*a**2. Let k(u) = -19*u. Let y(s) = 20*s. Let b(n) = -4*k(n) - 3*y(n). What is b(m(f))?\nAnswer: 256*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.14, -0.5, -10490, 23\/7, -4?\nAnswer: -10490","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + n - 50 = 0, 3*n + 25 = b + 7*n. Let o = b - 7. Calculate the greatest common factor of 6 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t**3 - t**2. Let g be p(1). Let r be 4\/18 - (-29)\/g. Which is the closest to -0.4? (a) 0 (b) r (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**4\/3 - 634*r**3 - 2140*r**2 + 88646*r\/3 - 14160 = 0.\nAnswer: -472, -9, 1\/2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8680306 - 1?\nAnswer: 8680305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -75631788 and -437.\nAnswer: -75632225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 116294876?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 + -3 + (-4 - -5) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04843601 + -0.048218. What is b rounded to five dps?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seventeen sixths of a week?\nAnswer: 28560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 + -16513820204\nAnswer: -16513820203.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/1 - (-2)\/(-1). Let y be m - (0 + -1) - 2. Solve 5*i - 9 = i + 5*n, 5*i + 2*n - y = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qdqr when four letters picked without replacement from {q: 3, d: 4, z: 3, r: 4}?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (1300\/702)\/10*4\/(-10)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 6*a. Let u(v) = -2*v + 47. Give t(u(f)).\nAnswer: -12*f + 282","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2381*s**2 + 4*s**3 - 12*s**3 + 5*s**3 + s**3 + 2362*s**2.\nAnswer: -2*s**3 - 19*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n**2 + 4*n**4 - 4*n**4 - 7*n**3 + 5*n**3 + 5 - n**4 to the form f*n**3 + z*n**4 + l*n + g + y*n**2 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-26)\/39 - (-2)\/3. Suppose c - 194 + 78 = 4*q, -2*c + 3*q + 212 = z. What is the highest common factor of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 31*t**2 + 7. Let j(i) = -61*i**2 - 13. Let m(s) = -6*j(s) - 11*r(s). List the prime factors of m(-1).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3840 divided by 8\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, v: 3, p: 3, x: 6, w: 2}. What is prob of picking 1 p, 1 k, and 2 x?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(1\/8)*q\/(q**(2\/19)*q*q))\/(q\/(q\/q**0))**(-6\/13))**(-1\/4) assuming q is positive.\nAnswer: q**(-3\/608)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**3 + 39*a + 20*a**3 - 8*a**3 + 86*a - 2*a**2.\nAnswer: -a**3 - 2*a**2 + 125*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -177\/7 bigger than -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29430 = g - 4*i, 70*g - 88360 = 67*g + 2*i. List the prime factors of g.\nAnswer: 2, 11, 13, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2423025 or 2423029?\nAnswer: 2423029","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1225))\/(sqrt(112)*-1).\nAnswer: 15*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 106*k**4 + 207*k**2 - 204*k**2 + k**3 - 39*k**4 + 44*k**4 + 1 to z + b*k**2 + s*k**3 + c*k + u*k**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4053160 and -32.\nAnswer: -129701120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rs when two letters picked without replacement from {e: 3, d: 1, n: 3, s: 2, r: 1, x: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4235?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*q = 68 - 2 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2880 divided by 1.\nAnswer: 2880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -189646 at least -189520?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l**3 - 13*l + 2*l**3 - 7*l**3 + 5*l to the form g*l + y*l**2 + p + s*l**3 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15294 and 216.\nAnswer: 550584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 270 and 21.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d + k + k, -d + 2*k - 3 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2\/17, 1.1, 1.26, 0.3, -5.\nAnswer: -5, -2\/17, 0.2, 0.3, 1.1, 1.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.567315 * -13.\nAnswer: 7.375095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/3402*-72*10\/((-8)\/4).\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 2:34 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t - 3 - 1 + 1 - 3. Calculate the remainder when x(-12) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 3:40 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 21374.\nAnswer: 14\/10687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 8\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3823602187301 + -0.03?\nAnswer: 3823602187300.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 9\/(-3) + 2. Let t(q) = q - 2*q**n + 0*q + 15*q**3 - 6*q**3 - 1. Is t(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-t + 7 - 2 + 252*t)*(-3*t**2 + t**2 + t**2) in the form c*t + y + z*t**2 + v*t**3 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 107279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 1 - 14. Let d be (z - (-11)\/4)*-1. Which is the second smallest value? (a) d (b) -0.5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35 * -3099.\nAnswer: 108465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 87 + -84. Suppose 0 = z*i - 5*w - 16, -w - 22 + 86 = 5*i. Let o(c) = -c**3 - i*c - 4*c**2 + 2 + 4*c + 7*c. Determine o(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/5)\/((-11)\/(-2)*51\/((-4080)\/(-32))).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 18*p + 94. Give x(-7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - (1 + sqrt(153))**2)*-2.\nAnswer: 6*sqrt(17) + 308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 5.849849?\nAnswer: -23.399396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2912434135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 6. Let n = -22 + 42. Solve -n = 5*b + y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**2 + 3*t**2 + 2*t**2. Let h(c) = -3*c + 5. Let f(i) = i - 2. Suppose v + 2*j = -0*j, j = -1. Let z(g) = v*h(g) + 5*f(g). Give z(x(l)).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/((-575)\/40)*-20 - 4\/12*-6.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1861404 is divided by 186138?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27)\/(-48)*(-20)\/(-15)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -61163.30441 to the nearest 100.\nAnswer: -61200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10001000011 (base 2) to base 10\nAnswer: -1091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 2. Let r be j(-6). Let f = 16 + r. What is the remainder when 44 is divided by ((-8)\/4)\/((-4)\/f)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is caca - -16?\nAnswer: cae1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/9, 4, -0.25, 17, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18110.3742 rounded to the nearest one hundred?\nAnswer: 18100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -973*v + 972*v = -4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 239 + -245. Let u(g) = g**2 - 6*g - 68. Let d be u(l). Factor 0 - 2\/3*y**2 + 4\/9*y + 0*y**3 + 2\/9*y**d.\nAnswer: 2*y*(y - 1)**2*(y + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1151418\/737 = 1561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - 15*a**2 - 8*a - 4. Let j(g) = 2*g**3 - 45*g**2 - 22*g - 11. Let w(t) = -4*j(t) + 11*v(t). Factor w(q).\nAnswer: 3*q**2*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 9*o**3 - 40*o**2 - 250*o + 7. Let j be t(-6). Which is greater: j or -1878?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16050?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 - -100110011011111101110001010?\nAnswer: 100110011011111101110001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 11*d**2 - 7*d**2 + 3*d - 6*d + 4*d. What is j(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -3. Let g = i - -5. Let f = 15 + -11. Calculate the greatest common factor of g and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 3090942?\nAnswer: 27818478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12 - 6 - 5*f**3 - 9*f**3 wrt f.\nAnswer: -42*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x + 61 = -16*t - 20, -12*x - 27 = -7*x + 2*t for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 9 - 1 - ((-14 + 27 - 15) + -1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**5\/20 + c**4\/3 - c**3\/6 - 24*c + 5. Let v(z) = -z**2 + z + 4. Let f be v(0). Calculate j(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233312 (base 4) to base 8.\nAnswer: -5766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15.74 and -1?\nAnswer: 14.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29 + -15f?\nAnswer: -188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5299 is divided by 164?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1011001000111011111?\nAnswer: -1011001000111100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.8984928 to 3 dps.\nAnswer: -1.898","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*n - 10*n - 51 = 0. Calculate the remainder when 33 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*d - 341*d + 1 - 1015*d.\nAnswer: -1322*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 0*v**2 + 0*v + 1 - 4\/15*v**3 - 2\/5*v**4 - 4\/25*v**5. Factor c(a).\nAnswer: -4*a**2*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-4 + -2)*833\/(-34)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 - -0.1465?\nAnswer: 0.1765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-24460)\/(-18) - -1) + 10\/(-2250)*-25. What is the highest common divisor of y and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7800*j**2 + 1 - 1 + 13836*j**2 - 6904*j**2)*(j - j - 2*j**3).\nAnswer: 1736*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39128*r - 256685 - 256679 + 513364 - 18737*r + 89065*r)*(-r**2 - r**2 + r**2).\nAnswer: -109456*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*2*sqrt(228))\/(sqrt(240)\/sqrt(5)))**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21005421 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521486?\nAnswer: 2, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-8)*2)\/(22*31\/2728).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 24*t**2 + 149*t + 325. What is w(-9)?\nAnswer: 928","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**4 + 392*a**3 + 24924*a**2 + 466856*a - 3007630.\nAnswer: 2*(a - 5)*(a + 67)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1159, -57631, 5 in ascending order.\nAnswer: -57631, -1159, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23918 or -932770\/39?\nAnswer: -932770\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/588*180\/(-150)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1836)\/85 + 38\/(-95).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -855 - -465. Let l = 494 + -475. Let p be (-2)\/l + g\/(-95). Let b(m) = -m - 1. Determine b(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41.919 + -42. Round a to two decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.966188324 rounded to two decimal places?\nAnswer: 2.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (1 - (-7 - -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*16\/720)\/(1\/(-5)).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + ((-4)\/(-4)*3 - 3). Suppose 0 = 5*p + 4*s - 3*s - 43, -u*s - 35 = -3*p. What is the remainder when p is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -4*p - p - 13 + 92 + 6*p - 7. Let w(x) = -36. Let c(d) = -2*l(d) - 5*w(d). Determine c(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3044012101 - -10?\nAnswer: 3044012111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -15. Calculate the smallest common multiple of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 79 and 6038215.\nAnswer: 477018985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 4 = 0, -4*u = 5*y - 0*u - 11. Let m be (-226)\/7 - -1 - -2. Let s = -29 - m. Which is the third biggest value? (a) s (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.57 + -0.73. Let i = v + 1.3. Suppose 0*k - 9 = 3*k, -2*n - 11 = 3*k. Which is the second biggest value? (a) n (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 415 and 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 74 + -69?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 - 1. Let k be f(1). Suppose 20 = 3*q + q. Solve 0 = q*w - k + 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -54.31107243 to one decimal place.\nAnswer: -54.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -1\/651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of h**5\/80 + 63*h. Determine n, given that f(n) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 10*p**3 - 8*p. Let u(f) = -f. Determine i(m) - 8*u(m).\nAnswer: 10*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -16. Suppose -2*h = 3*n + h - 12, -m*n + 8 = -4*h. Solve i - 5*q - 12 = n*i, 3*q + 8 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/3 + (9 - 9).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:33 PM and 4:23 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 0 + (-74 - -12 - -149)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -29*r**3 - 4*r**2 + 4*r + 6. What is w(2)?\nAnswer: -234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z**3 + 110*z**2 - 164*z + 72 = 0 for z.\nAnswer: 18\/23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 5, d: 1, m: 1, k: 3}. What is prob of sequence mckk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -95551, -95557, -95567, -95581?\nAnswer: -95599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.6 in -3\/56, 2317, -2\/13, 2, -23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 625 - 96. What is the remainder when l is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 365, 574, 923, 1412, 2041, 2810?\nAnswer: 3719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -232?\nAnswer: -15\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -107683*k*l - 51296*k + 4 wrt l?\nAnswer: -107683*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 4:56 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3010320 - -11123231?\nAnswer: 20200211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 13379.58 rounded to the nearest ten?\nAnswer: 13380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11, 1\/2, -0.0398, 102?\nAnswer: -0.0398","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 38. Let r be n(-17). Let b = 29 - r. Let d(k) = 11*k + 1. What is the remainder when d(2) is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 49\/4 of a milligram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**3 + 13*k**2 + 34*k + 191. Calculate o(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -120386884 and -481547541\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111110001011001 - -10010100?\nAnswer: -111101111000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -525725?\nAnswer: -525724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 - 4*n**3 + n**3 + 6*n**3 - 11 + 11 - 4*n**3 + n**3 + n**3 + (5*n - 2*n - 2*n)*(-3*n**2 + n**2 + 3*n**2) + 3*n**3 + 2*n**3 - 3*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(0*m**2 + 4*m**2 - 3*m**2) + (-4 - 1 + 2 - 5 - 11 + 8 + (1 + 1 - 3)*(-5 - 1 + 5))*(-2*m + m**2 + 2*m).\nAnswer: -13*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 + q. Let b be ((-3)\/(-6))\/(2\/(-8)). Let h be v(b). Is 10*-122*h\/(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in l**4\/5 - 5176*l**3\/5 - 182546*l**2\/5 + 838776*l\/5 + 203229 = 0?\nAnswer: -39, -1, 5, 5211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 13846, 2\/7047, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1340*u - 1341*u + 30 = 0. What is the remainder when 141 is divided by u?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 15230514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1162611551?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggzggzzzggggggzzg. What is prob of picking 1 g and 1 z?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -95.2 - -88. Let y = 0.2 + g. Let d = -10 - y. Put 2\/7, 2\/9, d in ascending order.\nAnswer: d, 2\/9, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23990\/13 - -13819319\/7488. Let y = 5\/64 + l. Let z = 5.7 + -6. What is the third biggest value in 2\/13, z, -2, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 61 - 61 = 0. Suppose 83*j - 89*j + 4956 = y. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0 - -0.2. Let j = -3.47 - -4.17. Does m = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(5 + 0 + (-6*-1*2*sqrt(72) + 4*(sqrt(72) + 2)*-1)**2).\nAnswer: -18708 + 3072*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 513*f**2 - 1 + 501*f**2 + f**3 - 1007*f**2. Suppose 2*m + y = m + 9, 2*m - 2 = 2*y. Let u(p) = -p**3 - 3*p**2. Give m*u(c) + 2*b(c).\nAnswer: -3*c**3 - c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/3243 and 37\/3.\nAnswer: 3243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19665\/3059)\/((-9)\/2).\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -530842, -1063840, -1596838?\n\"Answer: -532998*l + 2156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 250 = -5*v, 3*v - 7*v - 4*t + 172 = 0. Suppose 4*x - 120 = -v. Suppose 38*z = 41*z - 150. What is the remainder when z is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 793 and 637.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f - 1 + 0*f**3 - 8 - f**3 + 6*f**2. List the prime factors of c(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237376673 plus -6?\nAnswer: 1237376667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-13 - (-144)\/30)\/(-19) and -36\/5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 5.22.\nAnswer: -1.044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -10133023?\nAnswer: 10133003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4 + 32866*a**3 = 0.\nAnswer: -32866, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 12047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/4559400 and -70\/447.\nAnswer: 4559400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -16*j**5\/15 + 4*j**2 + 40. Let w(r) be the first derivative of r**2\/2 - 2. Calculate w(n(p)).\nAnswer: -64*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -18346, 1\/3, 0.2, 4 in decreasing order.\nAnswer: 4, 1\/3, 0.3, 0.2, -18346","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Round 6375352 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 25*r - 181*r + 5 + 1 - 8 to d + p*r and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*x + x + 1 + 2)*(24 + 5 + 1) to the form p + u*x and give u.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 20, -v = -3*o - 0*v + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -194*i**2*q**5 - 272*i**2*q + 6*i**2 + 2*i - 553*q**5 - 295*q wrt q.\nAnswer: -3880*i**2*q**3 - 11060*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t. Let n(g) = -549998500*g**2. What is n(c(z))?\nAnswer: -549998500*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2483 greater than 21639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j - 6*j - 6*j + 0*j. Let p(a) = -3*a. Give v(p(w)).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in 993, -3, 2, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53424?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + k)*(-86 - 159 - 131) to u + b*k and give b.\nAnswer: -376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1132 + 4?\nAnswer: -1123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z. Let s = 36 - 34. Let k(g) = -g - 1. Calculate s*k(o) + c(o).\nAnswer: o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 8 = -2*i - 10, -2*f = 3*i - 71 + 102 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q + 24*q = 104 + 50 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*q = 30 - 108 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 31400 (base 6) to base 16\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.4831 millilitres in litres?\nAnswer: 0.0224831","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000030159509 rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-4)\/(-12)*(3 + -1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/37369450 and 119\/90.\nAnswer: 336325050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the first derivative of -1\/4*b**2 - 3\/4*b**3 + 0*b + 11\/16*b**4 - 8. Factor r(f).\nAnswer: f*(f - 1)*(11*f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-238)\/340 - (-2)\/4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.42+-277.072\nAnswer: -276.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 2*k - 6. Let m be n(-4). Let q = 30 - m. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 2*s**2 - 5*s - 6. What is the lowest common multiple of i(-2) and 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m and 1 t when four letters picked without replacement from ddtmddttddtdt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 284023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9332687*f**5\/2 - 59735949*f**4\/2 - 102815829*f**3\/2 - 52902899*f**2\/2 - 245742*f - 576 = 0. What is f?\nAnswer: -4, -32\/23, -1, -3\/637","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*g**2 - 2*g + 0*g - g.\nAnswer: -9*g**2 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11239 is divided by 1028.\nAnswer: 959","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(11) + 0 + (sqrt(11) - -5*(sqrt(396) - sqrt(11))) + 3)*5)**2.\nAnswer: 10800*sqrt(11) + 202075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/8 of a millennium?\nAnswer: 67500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1020060790 and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1040 is divided by (-23)\/(805\/(-588))*(28 - 8)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28196239 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07 - -1.93. Let g be 12\/260 - (-4)\/26. What is the nearest to v in g, -3\/2, -3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 less than -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in millimeters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 464069 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -14*r**2 + 6*r - 2. Let a(h) = 5*h**2 - 2*h + 1. Let j(o) = -11*a(o) - 4*k(o). Let s(w) = -4*w**2 + 9*w + 12. Determine 9*j(x) + 2*s(x).\nAnswer: x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 86 = 4*r. What is the remainder when ((-282)\/12 - -24)\/((-2 + 1)\/(-168)) is divided by r?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8759.498ng in milligrams?\nAnswer: 0.008759498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6 (b) 0.15 (c) -39 (d) -3.12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 43837782271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -40, -3.\nAnswer: -40, -19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/9)*x)**(3\/8))**(-2\/9) assuming x is positive.\nAnswer: x**(-5\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4859 to the power of 1\/2, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 24 - 160714*d + 160715*d.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2479814 is divided by 137767.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 9:49 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.9 - -0.3.\nAnswer: 14.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/5 and -80\/25623?\nAnswer: 128115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81 divided by 163.\nAnswer: -81\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 11 = 1. Suppose -i*v + 180 = -2*v. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.14 + -0.16. Which is the nearest to -0.2? (a) d (b) 1\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 146282.2 nanograms in grams?\nAnswer: 0.0001462822","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*c = 8*c - 464, -5*c = y - 244. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the first derivative of -p**3\/6 + 2*p**2 - p - 2. Let a(h) be the first derivative of i(h). List the prime factors of a(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 240, 234, 218, 186, 132, 50, -66?\n\"Answer: -u**3 + u**2 - 2*u + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9369921131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 3*t + 5, 4 = 4*b + 4*t - 0. Let h = -3568\/17 + 210. Let i = 0 - -0.1. What is the biggest value in i, b, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -37*f**2. Let d(g) = 725*g**2 + 722*g**2 - 1431*g**2. Give r(d(q)).\nAnswer: -9472*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bby when three letters picked without replacement from {d: 1, y: 1, b: 4, l: 5, o: 7, z: 2}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -798 + 3270. List the prime factors of d.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 460*v + 348370 = 335490 for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 1, 5\/4, 4\/5, 8?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 57*n**2 + 60*n + 120. Let y be x(-58). What is the nearest to 1 in -2\/7, y, -2\/13, 30?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405900 a multiple of 660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 - 4*y - 5. Let r be c(5). Let m be 15*((-8)\/(-6) - r). Let i = m - 13. Does 3 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 2*a**2 + 8*a + 3. Let t(c) = c**3 + c**2 - 9*c - 4. Let k(g) = 3*p(g) + 2*t(g). Give k(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 6*m - 180. Let b be c(33). Let p = -6 + 23. Which is smaller: p or b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19360 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/7, 0.1, 2\/129185?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of j**6 + 72058*j**4 + 12*j**3 + 3*j**2 - 29*j - 956 wrt j?\nAnswer: 120*j**3 + 1729392*j + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.1 - -8. Which is the closest to t? (a) -0.3 (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a gram in micrograms?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19 + (-9 - 4) + -21 + 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 3, 2\/11, -2\/13, 2\/5, 2, -946, 0.09?\nAnswer: -946","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1 and -268527366443508.\nAnswer: -268527366443507.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3924 and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 85\/418 and 7\/52.\nAnswer: 10868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 9*h - 64. Suppose 2*k = 5*b - 2*k - 20, -2*b = k - 8. Suppose x - h*c - 139 = -7*c, -2*c + 538 = b*x. What are the prime factors of x?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/6 (b) -0.06 (c) -0.2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 1\/11 (c) -413\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 + -5*4 + 2. Let o(q) = 9*q - 3. Let z be o(-11). Let a = y - z. What are the prime factors of a?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -21. What is the first derivative of 3*d**2 + 2*d**2 - j + 0 wrt d?\nAnswer: 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1370?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 3*i + 39, 5*j - i - 4 = 53. Suppose -14*s + 36 = -2*s. Solve -s*l - j = -0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 4\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5801474, 11602944, 17404414, 23205884?\n\"Answer: 5801470*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/506 and 35\/813326.\nAnswer: 8946586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-6))\/(5\/12). Suppose u - 11 = -5*o, -3*u + 2*o = 63 - 28. Let s be u\/14*(-21)\/18. Which is the third biggest value? (a) f (b) s (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3096 + -3091. Solve -2*x = -8*l + 9*l, -14 = 3*x + y*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p = -29*p - 3. What is the units digit of ((-20)\/p)\/(4\/48)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, 0 in decreasing order.\nAnswer: 7, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/3 (b) 2 (c) 5146.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**4\/4 - p**3 - p**2\/2 - 5*p + 1. Suppose -4*q = -20, -3*l + 0*l - 5*q = -19. Let w be 3 + (1 - -2) + l. Give d(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43 - 71. Suppose 144 = -6*r + 9*r. Let b = w + r. List the prime factors of b.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 4:32 PM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 13 + 325. Let v = -333 - i. Solve v*g = -3*f + 13, -2 = 2*f - 4*f for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2\/(-12))\/((-2226)\/11660) and (423\/210 - 2)*52.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6}. Give prob of picking 3 c.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -35 - -7?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/2)\/((-308)\/847).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 3*s + 19*q - 15*q, -s - 1 = -5*q. Let l be (-4)\/6 - 56\/(-102). Which is the fourth biggest value? (a) 1 (b) s (c) l (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2*u - 28 = 0, 5*p - 45 = -184*u + 189*u for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 3:50 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 52010871*m**3 - 64194606*m**2.\nAnswer: 312065226","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3416*g*x**2 - 12142*g*x wrt x.\nAnswer: 6832*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 9:51 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/17680 and 109\/800.\nAnswer: 176800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 13020.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 300068236 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*f + 2, -5*l - 1 = 3*f + 4. Suppose 51 = -3*o - 5*g + 2, 5*o + g + 67 = 0. Let v = o - -14. Solve -11 = l*n - v for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 q, and 1 b when three letters picked without replacement from rqtqbhg?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24\/30 + (-4578)\/(-15)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13*57\/(-3) - -4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 1\/6*h**3 + 0*h**2 + 14*h + 0. Let t(f) = 10*f**2. Determine r(t(j)).\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -27 - -31. Suppose -w - 1 = -o*k, 6 = -k - 4*w - 15. List the prime factors of (-109 + 2)*(2 - 1)*k.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of -4*l**3\/3 - 47*l**2\/2 + 29*l. Let p be a(-6). Calculate the highest common factor of 3 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98360?\nAnswer: 2, 5, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1059 - 89 = -7*l. Let z = 493 + l. Let p be (-12)\/30 + -1 + z\/5. Calculate the greatest common divisor of p and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0122435 to four decimal places.\nAnswer: -0.0122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 626090 and 3656000?\nAnswer: 4570","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 76376041265 and -267.\nAnswer: 76376040998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-180)*36*10\/22.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4583\/3 - 1527. Let v = 0 - -3. Which is the closest to v? (a) 1 (b) n (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 337162848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*u - 34*u - 162 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-8*10\/(-100))\/((-19)\/(-5890)*-12)\nAnswer: -62\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/1*(-7)\/(-49). Sort -1, -2, p, -4 in decreasing order.\nAnswer: p, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51195 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 77 and -735937916563.\nAnswer: -735937916486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72405 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*d - 21 = 4*p - 46*d, 2*d = 3*p + 7 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 6*y - 6. Let a be s(-6). Calculate the remainder when (-2)\/a + (-8)\/(-3) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -382110 (b) 0.4 (c) -2\/5 (d) -2 (e) -1 (f) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 1. Let w be g(5). Suppose 434 = w*j - 277. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 11:12 AM?\nAnswer: 10:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5897.767 centimeters to millimeters.\nAnswer: 58977.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 80767993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 6, a: 11, l: 2}. Give prob of sequence lt.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wywqw. Give prob of sequence wwq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 9. Let h be 3\/6 + 14\/s. Solve h*n - 1 = 3*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n**(-1\/2)\/n))\/n*n**(-2\/7))\/(n**4*n**(-1\/10)))\/((n\/n**2)**10*n**(-5)\/n**(-5)) assuming n is positive.\nAnswer: n**(256\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 21 (b) -542 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -166821569 greater than -166821568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3861 - 415?\nAnswer: 3446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**5)**(5\/8)\/(i**17*i**15) assuming i is positive.\nAnswer: i**(-231\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 529883 and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 9:07 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/6 + -3)\/(2\/(-12)). Let o be -5 + (0 + p + 1)*1. Let i(y) = -y**3 - 6*y**2. Give i(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of -g**5\/60 - 11*g**4\/24 + g**3 + 137*g**2 + 2. Let b(s) = s**2 + 12*s - 7. Give 6*b(y) + 7*p(y).\nAnswer: -y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3 + 54*i**2 + 213*i + 234.\nAnswer: 3*(i + 2)*(i + 3)*(i + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -117 + -224. Let r = -342 - q. What is the closest to r in 0.3, 5, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116740\/9 = 12970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -54 (c) 5 (d) 930 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(4235)*-2)\/sqrt(7) - (sqrt(7920) - (sqrt(7920) + 2*sqrt(7920) + sqrt(7920)))\/sqrt(11).\nAnswer: 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**4 - 15*b**3 - 9*b**2 + 39*b + 30 = 0.\nAnswer: -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -56 or -3002\/53?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15397, -15764, -16129, -16492, -16853, -17212?\nAnswer: -17569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -19 + 44. Suppose -5*k - 5 = -h. What is the smallest common multiple of 2 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 7407?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(((-12)\/180)\/((-6)\/(-10))). Suppose 5*n = 2*i + 19 + 17, -3*n + i + 21 = 0. Let u be n\/p*3\/1. Which is bigger: u or -3\/68?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 13 (b) -1 (c) 733\/4 (d) 1 (e) -0.2 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -440289615 or -440289616?\nAnswer: -440289616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1537529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/21)\/((-6)\/4)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 28 and 151732?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**2 - 6*m - 1. Suppose l - 18 + 44 = -5*n, -2*n = -l + 9. Let o be w(n). Suppose o*x = 4*c - 16, 0*x + 2*x = -4. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1176.4 - 9.31?\nAnswer: -1185.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**5 + 78*h**4\/7 - 16*h**3 - 80*h**2\/7 + 288*h\/7 - 160\/7 = 0.\nAnswer: -10\/7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*g - 6. Let o be 10\/g + 2\/(-6). Let u = 3 - 5. Which is the closest to u? (a) 0.4 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111100222 (base 5) in base 14?\nAnswer: c997c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 17*a - 29*a = -16*a + 8, 4*a = 9*a - 15 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**2 - w**2 + 6 + 3*w - 9*w + 3*w**2 - 3*w. Calculate g(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 + -26. Let a(x) = -9*x**2 + f - 2*x**3 - 3 + 3*x**3. Give a(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -13, -916, 1 in decreasing order.\nAnswer: 1, -3, -13, -916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -15*m**2 + 12*m + 19. Give o(-2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 1. Solve -4 = -4*d, -l = -d - 2 + x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2))**18\/((n*n\/(n\/n**(3\/4)*n)*n)\/n**(-2)))\/((n\/(n**(-1\/4)\/n)*n*n**(-3)*n)\/(((n\/n**0)\/n)\/((n**(-6)\/n)\/n))) assuming n is positive.\nAnswer: n**(-6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 + 22*w + 16. Let d be b(-11). Let s = -26 + 45. Let q = d - s. Put 0.2, 3, -5, q in decreasing order.\nAnswer: 3, 0.2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1251501583.\nAnswer: 29, 43155227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 11 = 5*d, 0 = 5*n + 330*d - 329*d - 9 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 0.04 (b) 6\/5 (c) -1\/12 (d) 21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.65 and -10.70423.\nAnswer: 6.9577495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4.05 (b) -0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/112 and -75\/32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 9277711 times -3\nAnswer: -27833133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 31*i - 25*i. What is the greatest common factor of 1 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 365, 1173, 2509, 4361, 6717, 9565, 12893?\nAnswer: 16689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6015708 to the power of 1\/3, to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.7 - -0.2. Let i = -0.115 - -4.615. Let p = i - n. What is the nearest to -1 in p, 0.1, 1\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149836746 to the power of 1\/6, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -3. Let g(x) = 58*x + 1. Let b be g(k). Suppose 4*u - 751 = -b. Calculate the greatest common divisor of 16 and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*-2*6\/20)\/(30738*(-245)\/(-115150))\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5132 = -4*g - 2*t, 5*t + 1104 + 1474 = 2*g. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-12))\/(2 - (-3 - -4))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 12 (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.7 (b) -12 (c) 0.4 (d) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 595 (c) 25079\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of -l**7\/42 + 7*l**6\/15 - 13*l**5\/20 + 647*l. Let x(g) = 0. What is g?\nAnswer: 0, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -4*k**2 + 7 + k**2 + 3*k - 4 + 4*k**2. Let c be t(-2). Let z(m) = 1 + 3*m - 3*m - 10*m**2. What is z(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*q**3 - 198*q**2 - 26*q - 30?\nAnswer: 12*q - 396","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -248592, -248593, -248584, -248559, -248512, -248437?\n\"Answer: k**3 - k**2 - 5*k - 248587","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1195 - 92*b**2 - 1195 + 70*b**2.\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from brkktxxbbxbbo. Give prob of sequence bto.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**2 - 31 - 28 - 25 - 102*i**3 + 23 - 78 wrt i.\nAnswer: -612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*((-11)\/(-44) - (-2)\/8).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20 by -176202.\nAnswer: -10\/88101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 12*k**2 - 4*k + 41. What is the remainder when w(-12) is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55637175 to the nearest integer?\nAnswer: 382","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 7*w**2 - 66*w - 93. Calculate the remainder when 403 is divided by m(-7).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0261 * -5.921.\nAnswer: -0.1545381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 10*q + 12 - 7 + 92. Let j be a(-9). Let m(v) be the first derivative of -v**4\/4 + 8*v**3\/3 - 4*v**2 + 4*v + 11. Determine m(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 394751\/1194 - -840\/199. Let k = -334 + y. What is the closest to -0.17 in k, -2\/5, 5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 30 = -114. Suppose 0*r - 33 = -2*r - 5*j, -4*r - j = -w. Solve n + r*n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.11481 less than -136487?\nAnswer: -136488.11481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l + 136 - 136)*(2 - 2 + 1) - l + 2*l - 2*l + (-1 + 3 + 0)*(l - 2*l + 3*l) to p*l + a and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 6*m**2 + 2*m - 6. Let r(j) = -79*j + 547. Let u be r(7). Let b(s) = -5*s**2 - 2*s + 5. Determine u*i(d) - 7*b(d).\nAnswer: -d**2 + 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*c - 4 = 0, c + 4 = -0. Let j = z + 12. Suppose -2*t = 34101 - 34191. What is the remainder when t is divided by j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 116*o**3 + 7*o**2 - o - 3. Let y(v) = -116*v**3 - 7*v**2 + v + 2. Let c(i) = -6*j(i) - 7*y(i). Is 13 a factor of c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(616) - (sqrt(616)*2*-5 + sqrt(616)) - sqrt(616))\/(sqrt(132)\/(2*sqrt(12))))\/(sqrt(48)\/(sqrt(6)*-3) - 2*sqrt(1152)).\nAnswer: -54*sqrt(7)\/73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3) - (-24)\/(-18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/20 - (-2)\/10. Solve j = b + 4*y - 19, 7*b + y = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 10 (b) -0.1 (c) 238 (d) -5 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1576\/15 - 20458\/195. Which is the nearest to -3\/5? (a) 3\/4 (b) g (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -12. Let b = -9 - p. Let y be (-4)\/(-12) + b\/3. Solve y = 4*j - 0*j + 12 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -39, 2, -2\/3, -41, -1439, 4 in decreasing order.\nAnswer: 4, 2, -2\/3, -39, -41, -1439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from iiisissiislisssis.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.062 + 612.938. Let m = -612.9446 + g. What is m rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27.6152697 to two decimal places.\nAnswer: 27.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**3 - 6694*j**2 + 46784*j - 80160 = 0. Calculate j.\nAnswer: 3, 4, 3340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-90)\/(-12))\/(2\/12). Suppose 0*i - 178 = -2*i + 4*y, 392 = 4*i + y. Let t = i - 92. What is the greatest common divisor of s and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(648))\/sqrt(6) - ((3*sqrt(2592) + sqrt(2592))\/sqrt(6))**2.\nAnswer: -6912 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 + 7 + 12*w**2 - 23 + 2*w + w**3. Let v be 16\/(64\/(-6))*-8. Calculate o(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 5:42 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6026232?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of 0*n**3 - 1\/140*n**6 + 0*n - 1\/735*n**7 - 1\/84*n**4 + n**2 + 0 - 1\/70*n**5. Factor t(r).\nAnswer: -2*r*(r + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 8*j**2 + 15*j + 1. What is o(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 2197?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from {m: 2, s: 1, a: 2, d: 2, l: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18078927 is divided by 3615777?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 105 - 255 = 0. Let k(v) = -v**2 + 10*v + c + 32 - 79. Determine k(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from udwhu. What is prob of picking 2 u and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -t - 3*o, 3*t - 348 = -0*t + 3*o. Let w = -70 + t. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -2*g**2 + 20*g + 34. Let a(k) = 3*k**2 - 30*k - 50. Let d(h) = 5*a(h) + 7*y(h). What are the prime factors of d(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -161 + 225. Let z = d - 45. Let s = 18.7 - z. Put s, 0, -0.1 in increasing order.\nAnswer: s, -0.1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/z**15*z*z**(1\/4)\/z*z\/z**(2\/19)*z*z**10*z)**(-21))**(-22) assuming z is positive.\nAnswer: z**(2541\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 divided by -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8715 by 83.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 181 = 5*i - 29. What is the remainder when 293 is divided by i?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -69. Let n = -18 - f. Is n smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -19.44 and 48.\nAnswer: 28.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 5*g + 30, 1512*v = 7*g - 1511*v + 3025*v + 20 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -558*w + 8 + 0 + 837*w - 8 + 58*w**2 to the form q + y*w**2 + b*w and give y.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 63, 490, 1687, 4050, 7975, 13858?\nAnswer: 22095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**20\/q*q**(-5) assuming q is positive.\nAnswer: q**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 8. Let z be k(8). Let x = 0.51 - 0.01. What is the third smallest value in -3\/5, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-3\/8)*m\/m**(8\/9)*(m**7)**(-10\/11) assuming m is positive.\nAnswer: m**(-5249\/792)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -6136*s**7\/7 + s**3\/3 + 1895*s**2\/2 - 4594. What is the third derivative of d(x) wrt x?\nAnswer: -736320*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(9\/(-4)))\/((298178\/(-291))\/29)?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 71\/(426\/8)*1\/(-34)?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 4269232\nAnswer: 4269232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, j: 3, x: 2, f: 1}. What is prob of sequence xjfx?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 990171773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10664748.\nAnswer: 2, 3, 296243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-6)*-2*18\/(-16). Let w(l) = -4*l**3 - 7*l**2 + 5*l + 36. Let p(i) = 2*i**3 + 4*i**2 - 3*i - 18. What is h*w(f) - 5*p(f)?\nAnswer: 2*f**3 + f**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26578834987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2265831876?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r. Let v be z(-3). Suppose 0 = -v*q - 7 + 19. Suppose i + q*i = -w - 3, -37 = -5*w + i. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81194?\nAnswer: 2, 40597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -244*t - 3. Let h be k(-2). Let w = h - 296. Calculate the highest common factor of 21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3597513 and 438?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18729740 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.2, 1\/4, 3, 1.5, -5.\nAnswer: -5, -2, -0.2, 1\/4, 1.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 + 9*y - 4. Let o = 49 + -43. Give v(o).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o. Let n be l(-3). Let a be 0 - (-3 + 17*12\/3). Let z be 2*9\/(-24) - a\/60. Put n, z, -3 in ascending order.\nAnswer: -3, z, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2. Let p(a) = 19*a**2 - 4. Let v(r) = 21*r**2 - 2. Let w(x) = 2*p(x) - 3*v(x). Calculate j(w(g)).\nAnswer: 625*g**4 + 100*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -624822, -1249541, -1874262, -2498985?\nAnswer: -3123710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 90.23922 milligrams?\nAnswer: 90239220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -225 in 9, 4\/7, -5, 2, 0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11 and -49458634.\nAnswer: -544044974","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 122*j + 119*j + 17 = 0, -5*j = -l + 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -43, -324, -1097, -2608, -5103, -8828, -14029, -20952?\n\"Answer: -41*r**3 + 6*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238 is divided by 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-4)\/(-34) + (-31304)\/(-952)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/1737 and -65\/21.\nAnswer: 12159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37280 divided by 2.\nAnswer: 18640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + -10. What is the common denominator of (-85)\/(-45) - k\/9 and 57\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -7*h**3 - 3*h + 5*h**2 - h + 4 + 6*h**3. Let o be w(4). Sort -3, 3, o in ascending order.\nAnswer: -3, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.87 + -73.87. Let a = -73.5 - l. Put 3, 31, a in ascending order.\nAnswer: a, 3, 31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -46 and -26.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/2? (a) -2\/9 (b) 2.8 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 1391*x + 9690. Let v be y(-7). Determine r so that -2\/3*r**5 - 4\/3*r**3 - 8\/3*r**2 + 8\/3*r**4 + 0 + v*r = 0.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/3)\/(10\/(-15)). Let l(y) = y**3 - 6*y**2 - 67*y - 21. Let r be l(0). Sort r, -3, h in ascending order.\nAnswer: r, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -9, 3, -29426 in decreasing order.\nAnswer: 15, 3, -9, -29426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -15*r - 23. What is the remainder when 100 is divided by m(-4)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 8 = 1. Let h = -0.535 + 0.735. Which is the third smallest value? (a) 0.5 (b) h (c) m (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4*f. Let u(z) be the second derivative of z**3\/6 + 2*z. Let n(i) = -t(i) + 5*u(i). Let b(m) = 3*m. Give n(b(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 - -34.9. Let f = -3 - -6. Let i(x) = -x**3 + 6*x**2 - 7*x + 5. Let l be i(5). What is the nearest to b in l, f, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18920955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -48\/637013 and -44\/5707.\nAnswer: 279648707","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/7, 1, 2\/17, -0.3289?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - 9*w - 3. Let g be p(-8). Suppose 24 = g*b - u, -7*u = 2*b - 2*u - 15. Put b, -4, -5 in decreasing order.\nAnswer: b, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/20 + 333306\/10. Let m = q - 21134. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 445 + 444 - 1339 + 450 - i. Let w(l) = 28*l + 1. Give -5*v(n) - w(n).\nAnswer: -23*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 64689761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (-8)\/(-2)*-7. Suppose -b = -4*x + 19. Suppose -4*s + 84 = x. What is the greatest common factor of 3 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -50068, -198819, -446254, -792367, -1237152?\nAnswer: -1780603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of 0*t + 3\/2*t**2 - 175. Let w(n) = 13*n + 1. Determine w(c(d)).\nAnswer: 39*d + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 494 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 160\/10329 or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 66974713183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*(p*p\/((p*p**(1\/9)*p*p)\/p*p))\/p)\/p)**(1\/59))**(-27\/2))**32 assuming p is positive.\nAnswer: p**(912\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(196) - ((sqrt(196) - sqrt(196)*-2 - sqrt(196) - sqrt(196)) + sqrt(196) - sqrt(196)) - sqrt(4))\/sqrt(2) + (2*sqrt(72)*-1 + -4)**2.\nAnswer: 95*sqrt(2) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-115)\/8 - (-36)\/(-96).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 - 41*v**2 - 66*v + 263. Is f(46) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/8 + 2 + 1890\/108. Solve f - 5*b - 23 = -0*b, 3*b + r = 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**3 - a**3 + 0*a**3 + (a + a + 2*a)*(-4*a**2 + 4*a**2 - a**2) + 2*a**3 + 13*a**3 - 3*a**3.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -5*-15\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003479716 to five decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 4)*(-6*w**5 + 2*w**5 - 5*w**5) - 4*w**2 + 2*w**5 + 4*w**2 - 4 + 2*w**5 + 4 + (2 + w - 2)*(-w**2 + w**4 + w**2) + 2*w**5 - 4*w**5 + 0*w**5.\nAnswer: -33*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(98)*1*6.\nAnswer: -252*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99243 + 0.1139.\nAnswer: -99242.8861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + 9*z**2 - 3*z. Suppose 0 = n - 6*n. Suppose n*l = -l + 8. List the prime factors of x(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 14*b - 19. Determine i(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -13*q**3 + q**2 + 3*q + 1. Suppose -6 = -4*j - 14. Let z be x(j). Let u = -1029\/10 + z. Put 2\/9, u, 1 in descending order.\nAnswer: 1, 2\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 126935953742 and 1.\nAnswer: 126935953743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*d = 393, -d + 2 + 0 = 0. Let k = -27 + n. Does 13 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16\/289, -2\/3, -39 in increasing order.\nAnswer: -39, -2\/3, 16\/289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 10. Let t(l) = 2*l + 11. Let c(j) = -2*f(j) + 3*t(j). Let r(q) = 5*q + 11. Let x(a) = -4*c(a) + 5*r(a). What is x(-8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 8 + 20)\/((-6)\/(-4)). Calculate the greatest common factor of 24 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**3\/2 - 38*d**2 + 603*d\/2.\nAnswer: d*(d - 67)*(d - 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*v - 1560, 4*v = -8*z + 3*z - 2080. Let a = v + 109. Let t = a - -856. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44 - 2) + 14 - (2 - 1 - 12).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*x + 322 + 103. Solve -x*c + 16*c + 36 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-3\/4))**38)**17 assuming l is positive.\nAnswer: l**(2261\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-30)*-3)\/(252\/70). What is the third biggest value in 0.4, -2\/3, f?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 11:26 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1244 + -1960. Let r = 507 + g. Let k = r + 209.0153. Round k to three dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 4*q. Let s be v(4). Suppose -2*t = -4*x + 210, 3*x + 3*t - 158 - 13 = s. What is the greatest common divisor of x and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47\/3 + 16. Let m = 0.06 - 0.46. Let z = 6.4 - 6. Which is the nearest to h? (a) -1 (b) m (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -3*v + 3*h - 15, -2*h - 4 = 0. Solve -v*g = 25, 3*p - 4*p + 23 = -4*g for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 + 3*u + 4. Let q be (111\/185)\/(1\/(-5)) - -13. Suppose -240*b = -245*b - q. Give z(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of 13*p**8\/336 + 17*p**4\/24 - 5*p**2. Find the second derivative of n(f) wrt f.\nAnswer: 260*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 13*u**3 + u**2 + u + 1. Let m be f(-1). Let s be ((-3)\/(-6))\/((-2)\/m). Let r(a) = -a - 3*a**2 - 2*a**3 + 4*a**3 - 1 - a**3. What is r(s)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21 - 14) + 8\/(-1))*5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**5\/60 + 5*i**4\/12 + 7*i**3\/3 + 8*i**2. Let o be t(11). Solve -4*j + 35 - 4 = o*u, 0 = 2*j - 5*u + 17 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y + 10. Let a be d(8). Suppose 0 = -4*h - 8, 5*b + h = 6*h + 10. Calculate the common denominator of b + (-37)\/a - 2 and -37\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.339373 to three decimal places.\nAnswer: 0.339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 346185\nAnswer: -1384740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q**3 + 2*q**2 + 4*q - 3. Let t be v(2). Let h = t - -30. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10.2 - -10.2. Suppose 882*v = 870*v + 60. What is the closest to 3\/11 in -0.1, v, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.078, 0.21, 1, -4 in descending order.\nAnswer: 1, 0.21, 0.078, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -4 + -2 + 1 - -5?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, y: 6, m: 2, l: 2, e: 4, k: 2}. What is prob of sequence mkl?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {j: 1, q: 1, f: 1, l: 1, h: 2, b: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*n = 23 + 38. Which is bigger: n or -52\/21?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/5 (b) -1\/3 (c) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 303889541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11*(3 + 1)*(-17)\/3. Is h bigger than -250?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3*((-100)\/(-6))\/(-5). Is (-5)\/s + 43\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1274275922.\nAnswer: 2, 637137961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2969*t - 1228*t + 2989*t + 113*t as a + n*t and give n.\nAnswer: 4843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128366290?\nAnswer: 2, 5, 13, 987433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 9393?\nAnswer: -9391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4977.2 and -35?\nAnswer: 174202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from {n: 2, g: 2, v: 2, z: 10, x: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 4 = 4. Let g be (6\/8 + 2)*z. Let a = 21 + g. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5\/2 - 136509*u**4\/2 - 273009*u**3\/2 - 136503*u**2\/2 = 0.\nAnswer: -45501, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**4\/17 + 30852*y**3\/17 - 155016458*y**2\/17 + 277943508360*y\/17 - 162321639489800\/17 = 0. Calculate y.\nAnswer: 1435, 6278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*v**3 + v**2 + 989*v + 27071?\nAnswer: -12*v**2 + 2*v + 989","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-4 - (-7983)\/2025) + (-2)\/(-25)). Calculate the greatest common factor of 1035 and h.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48.2 + 47253.\nAnswer: 47204.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -60 - -185. Suppose c + l = 0, 0*c = 3*c + 2*l - 3. Suppose c*r - y = -14. List the prime factors of r.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13426000 rounded to the nearest 1000000?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -181 + 187. Let p(d) = d**3 + d**2 - d + 2. Let r be p(0). Is 1760 - l\/4*r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2393 - -2059.4. Let i = 0.3108 - 367.3108. Let a = k - i. Round a to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2626936865 take away -18538?\nAnswer: -2626918327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 1633184.3 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 171451485 and 8376?\nAnswer: 1047","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 4:39 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = u - 5*l + 2, -2*l = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 - 12*r**2 - 10*r + 13. Let k be a(-11). Solve 5*s = 2*f - 25, 2*s = -k - 4 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 276 and 460?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 10001111001 (base 2) to base 5\nAnswer: 14040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 2*s**2 + 0*s**4 + 0*s + 6 + 0*s**3 + 3\/5*s**5. What is the second derivative of j(q) wrt q?\nAnswer: 36*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 155\/4265587?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -49*h + 2238. Give s(19).\nAnswer: 1307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 + 5.9. Which is smaller: n or 8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -544, -1084, -1626, -2170, -2716, -3264, -3814?\nAnswer: -4366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 21233394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.01 - 0.01. Let w = z + -5. Let t be (18\/(-81))\/((-2)\/(-3)). What is the biggest value in w, t, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 549*g**5 - 11*g**2 - 41679*g wrt g.\nAnswer: 10980*g**3 - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16 - -79\/5. Let f(c) = -27*c**2 - 3. Let t be f(3). Let r = 3200\/13 + t. What is the third biggest value in r, n, -1\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*h**3 - 143*h + 143*h - 5*h**2 in the form o*h**3 + f + u*h**2 + w*h and give o.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 134325 and 9344045?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17804460997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 248 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k - 2*n + 18, 5*n + 0 - 1 = k. What is the second derivative of 0*i + 0*i - i**k + i wrt i?\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 2, 16, -0.14 in decreasing order.\nAnswer: 16, 2, 0.1, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-3) + 2)*2\/4. Is (13\/h)\/((-2)\/(-16)) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4146606 to the power of 1\/4, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + (-26)\/10)\/((-210)\/1050). Solve 2*p = 7*p - k + 20, -3*k + 6 = g*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pczcnupnffucnpfc. What is prob of picking 2 f and 2 c?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 182.6 minus 340.152906678?\nAnswer: -157.552906678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -2\/27 (c) 2\/7 (d) -0.66 (e) 1.19 (f) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 6*j**3 + 5*j**2 - 5. Let x(a) = -7*a**3 - 4*a**2 - a + 4. Let u(t) = -5*x(t) - 4*y(t). Find the second derivative of u(i) wrt i.\nAnswer: 66*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266408 rounded to the nearest ten thousand?\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3492 + 12746 - 2*c + 25421 - 3612.\nAnswer: -2*c + 31063","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1435, 2\/17, -0.1?\nAnswer: 1435","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -17290*t**2 - 75*t + 10. Let l be m(22). What is l rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147 + 3 = -36*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -940870*y**2 - 12*y + 940870*y**2 - 3*y**3.\nAnswer: -3*y**3 - 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30 - -29.05. Let k = 0.05 - o. Let g = 3\/4 + -11\/20. Which is the second smallest value? (a) g (b) 0 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -289*x + 63*x + 1519 + 79*x - 76*x wrt x?\nAnswer: -223","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 * -0.01\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198*-0.02.\nAnswer: 3.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q + 7*q + 126 - 30 = 0 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 555988.\nAnswer: 2, 29, 4793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 + 20*r + 75. Give x(21).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 170, 380, 674, 1052, 1514, 2060?\nAnswer: 2690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 26534404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5*l, 0 = 2*l - 0*l + o - 3. Let m be ((-1)\/2 + 0)*0. Solve m*u + l = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 46 = -2*c - 0, 4*c + 36 = 3*j. Let g = 19 - j. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -89*g*v*x**2 - 3*g*v*x - 13*g*x + 493*v*x**2 + 15*v*x wrt g?\nAnswer: -89*v*x**2 - 3*v*x - 13*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1498605001*p**2 - 1498604999*p**2 - 129 + 129.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(63\/7))\/(10\/(-5)*28\/96)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43951.\nAnswer: 43951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nknnnnnnnnnnk. What is prob of sequence nn?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/3100 and 11\/72?\nAnswer: 55800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 23.2.\nAnswer: 2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -22*u**2 + 64*u + 12. What is the first derivative of r(c) wrt c?\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 23\/12*c**4 + 0 + 20*c + 0*c**2 + 10\/3*c**3. Find the second derivative of z(u) wrt u.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*k**3 - 81*k**3 + 155*k**3.\nAnswer: -4*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vwsvrs. What is prob of sequence ws?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2487 smaller than 5219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41744 (base 8) to base 13.\nAnswer: -7bac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from jjjpptkpkptppjjpppt.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5048 * -5\nAnswer: 25240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*d**3 - 432*d + 432*d.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0.1, -2, -3\/5, 0.755, 0.3.\nAnswer: -2, -3\/5, 0.1, 0.3, 0.755, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j**2 - 3*j**2 + 2*j**2 + 3*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 626554?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 24 = -5*o, -3*m - m - 2*o - 18 = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y + 10. Let m(h) = -h. Let q(g) = -6*m(g) + z(g). Calculate the least common multiple of 10 and q(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -568, -1884, -4064, -7096, -10968, -15668, -21184, -27504?\nAnswer: -34616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 4*o + 29, -29*o + 30*o = -2. Let q be ((-8)\/6)\/(5\/(-15)). Sort q, v, -1, 2.\nAnswer: -1, 2, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 9*q. Let g(l) = 45*l - 1. Let a be (-1)\/((-8)\/10)*4552\/2845. Give a*g(v) - 11*d(v).\nAnswer: -9*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*k + 13, -3*r + 17 = -k + 1. Suppose 0 = -3*x + r*v + 90, -8*x = -4*x - 2*v - 120. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 12*k**3 + k**2 + 97*k - 97. What is the remainder when 108 is divided by b(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38798.\nAnswer: 2, 19, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*3 + sqrt(39)\/(sqrt(3)*-2))**2 + -4 - ((sqrt(637)*-1)**2 - (sqrt(13) + (4*sqrt(1872))**2)).\nAnswer: sqrt(13) + 124121\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehuuuehhhhuhuuu. What is prob of sequence eeu?\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hkkkhkhhkdhhhkh. What is prob of picking 1 d and 2 k?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65.1 - -7.1. Let j = 57.54 + b. Round j to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56745, -56698, -56651, -56604?\nAnswer: -56557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11392\/(-534)*39\/26.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of -z**3\/6 - 9*z**2\/2 - z - 339. What is a(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 221 and 65671.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, a: 1, f: 1, t: 2, k: 2}. Give prob of picking 1 h and 1 f.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/4)*r\/(r**(-3\/2)\/r) assuming r is positive.\nAnswer: r**(13\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -587*k**2 - 579*k**2 + 1163*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 539 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/((-7)\/((-84)\/(-15)))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 + 12.3. Let b = -1.6 - s. Put 3, b, -0.6 in decreasing order.\nAnswer: 3, b, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*c + 2*c - c)*(4*c + c - 2*c) + 11*c**2 - 31 - 29 + 63)*(-16*c + 15 - 15) to k*c**2 + y + n*c**3 + m*c and give n.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 113871 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 + 7 = -4*z + 2*k, z - 4*k - 19 = 0. Suppose -22*p = 10*p - 192. What is the third derivative of -3*v - 4*v**2 - p*v**2 + 15*v**3 + z*v wrt v?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*15\/35)\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 8*u + 2. Give m(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**5 + 0*r**5 - r**5 + (-2*r**2 - 1 + 1)*(0*r**3 - r**3 + 3*r**3) - 2*r**5 - r**5 + 4*r**5 + (-1 + 1 + 2)*(4*r**2 - 4*r**2 + r**5).\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(78))\/sqrt(6) + -3.\nAnswer: -3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52105156?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10650508 is divided by 772.\nAnswer: 768","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*j - 40*j = 2533 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-655)\/(-529)) - 0. Let u = -1\/131 - t. Let j = -13 + 9. Which is the biggest value? (a) u (b) j (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 4*l**2 + 583*l + 6701. What is f(-133)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k + 2*l - 12, -5*k = l + 8 + 16 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqz when three letters picked without replacement from bpqbqzpz.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rv when two letters picked without replacement from {h: 2, r: 1, v: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -60*p**4 + 60*p**4 - p**5 + (p**5 + 3*p**5 - 3*p**5)*(-3 + 2 - 1) + (-5*p**2 + 5*p**2 + 3*p**4)*(4*p - 2*p + 0*p).\nAnswer: 3*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**6\/720 - c**5\/120 + c**4\/6 + 4*c. Let o(k) be the third derivative of j(k). What is o(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 2*o - 5*o - 19 = 0, 0 = -3*q + 2*o + 64. What is the remainder when q is divided by (-28)\/(-6)*((-20)\/(-28) - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-66*v**3 - 37*v**3 - 70*v**3)*(2 + 1 - 1)*(-v - 5*v + 0*v) to the form p + a*v**2 + w*v**4 + l*v + f*v**3 and give w.\nAnswer: 2076","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -50 - 20 - 2*c**2 - 201*c + 70 to u + j*c**2 + d*c and give d.\nAnswer: -201","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*n + 3*n - 15*n)*(-1 - n + 1).\nAnswer: 26*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -1217195.\nAnswer: -3\/1217195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2705 + 5411\/2. Which is the nearest to 0? (a) l (b) -1\/4 (c) 26 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n**3 - 45*n**3 + 24*n**3 - 48*n**3.\nAnswer: -72*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2410 (base 6) to base 12.\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 2*g - 20, g - 159*v + 161*v = 3 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 476504 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 274218 and 3858?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2664*c + 34632. Calculate m(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-6 + 16 - 16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4203 and 796430673.\nAnswer: 4203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 659 = -2*q, -103 = -v + q + 26. Let i = 210 - v. What are the prime factors of i?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 - 4*p + 8. Let a be h(6). What is a rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19774?\nAnswer: 2, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of 0*z**4 - 1\/20*z**5 - 7*z**2 + 1\/40*z**6 + 0 + 0*z**3 + 0*z. Suppose p(m) = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 37340, 37286, 37232, 37178, 37124?\n\"Answer: -54*m + 37394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 219, 2, 0 in decreasing order.\nAnswer: 219, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1410\/1259 or 1?\nAnswer: 1410\/1259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -3006051?\nAnswer: 1\/3006051","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**4 - 98*j**3 - 1338*j**2 - 3358*j - 2116 = 0.\nAnswer: -23, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2.659+10789\nAnswer: 10786.341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(-342)*((-132)\/(-8))\/(-1) and 53\/323?\nAnswer: 1938","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 times 19077673\nAnswer: -19077673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 + -9. Let g be x + 8 + -6 + 7420002*1. Round g to the nearest 100000.\nAnswer: 7400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -9. Suppose y = w*y - 500. What is y rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(28)\/sqrt(4)) + 5.\nAnswer: sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136*-1743.\nAnswer: -237048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 4 - 5 = -u, 5*d = -u + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189) - sqrt(189)*2*6)*1)\/(2*sqrt(343)*-3) + -1.\nAnswer: -1 + 11*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23.26 * 11.\nAnswer: 255.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/2*(32 + -8). Suppose -24*r + 12*r + a = 0. Is -2\/1607 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 4\/15 (b) 0.02 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/52 and -113\/8060?\nAnswer: 8060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0 + 2 = 0. Let u(o) = -633*o - 1900. Let w be u(-3). Sort 3, f, -3, w.\nAnswer: -3, w, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6935\/11 + -630. Let v = -31\/44 + z. Let l = -33 - -33.5. What is the third smallest value in 2\/3, v, l?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x - 22. Let z be s(-11). Solve v + 2 - 1 = z for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 0.05, 1, -3, 2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 42?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*v - 19. Let j = v - 9. What is the second derivative of 3*f - j*f + 2*f**4 + 0*f wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19\/(-38)*(-3 - (-2)\/1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 589476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 53, 228, 533, 968, 1533, 2228, 3053?\n\"Answer: 65*z**2 - 20*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -107*q - 104*q + 25 + 210*q + (2 + 0 - 1)*(-q - 2*q + 0*q) in the form h*q + i and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97850*y**3 - 2*y**2 + 15401*y?\nAnswer: -587100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 = 2*f + 114. Let l be 15\/9 - (-3)\/9. Suppose -f*z = 5*c + l*z - 35, -5*z = -25. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 940 = 146*o - 3732. What is the highest common divisor of 352 and o?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d + d + 3*d + 7. Let s(c) = c. Let i be s(5). Suppose 0 = -2*w + i*h - 5, -5*w + 4 = 4*h + 33. What is o(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4793 + -4794. Which is the nearest to 1? (a) -0.02 (b) z (c) -1\/2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 108 = -5*b - u, -4*u = -b + 54. Suppose 4*c + 0*c - 5*a + 33 = 0, 4*c + b = -2*a. Is c equal to -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46889713.\nAnswer: 13, 3606901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -208729?\nAnswer: -20872.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 4, j: 4, c: 1, l: 1, x: 3}. What is prob of sequence dck?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 93635409137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -2*i - 2. Let m be f(-2). Suppose m*n - 35 = -13. Suppose -4*o = -v - 70, 5*o - 5*v - 106 = -n. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 826.56 + -826. What is the fourth biggest value in q, -3, 2\/3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*k - f, 0 = 2*k + f - 5 + 10. Solve 0*z - 1 = 4*z + v, k = 5*v - 15 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3082, -3332, -3864, -4774, -6158, -8112, -10732?\nAnswer: -14114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 78 = 3*d, -5762*d + 9*h + 99 = -5759*d for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.06503 - -0.14974. Round l to 1 decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 116*h**3 + 5. Let n(f) = -117*f**3 - f**2 - f - 6. Let b(w) = 2*n(w) + 3*v(w). List the prime factors of b(1).\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910 bigger than -360831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4030\/25287 or -1?\nAnswer: -4030\/25287","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of -n**4\/4 + 3*n**3 - 4*n**2 + 4*n + 1. Let y be u(8). What are the prime factors of 29\/(-2*(-2)\/y)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 1904863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 51\/((-4)\/5 - -1). Suppose 5*m - a = -0*v + 2*v, -m = 3*v - 68. Suppose 5*i - m - 27 = 0. What is the remainder when 63 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 5*u = -128, u = -f + 29 - 187. Let z = f + 391. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 130\/(-18) - (-12)\/(-54)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 16) to base 4.\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r - 1. Let p(n) = -3*n. Give -4*p(y) + 3*t(y).\nAnswer: 3*y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (1 + 2 - (26 - 25))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4669 and 241454?\nAnswer: 667","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 95186048, 190372095, 285558142?\n\"Answer: 95186047*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4576)\/1664 + 27\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 296 and 42848328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8332342 divided by 2.\nAnswer: 4166171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -39.7080808 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -3 (c) -1\/7 (d) -16\/657 (e) 0 (f) -12 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -3717*t - 66898. Determine u(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2435086 and 14830.\nAnswer: 2966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-630)\/(-188) - 3)*(-10)\/15. Let k = 4117\/282 - f. Find the common denominator of 568\/32 - (1 - -1) and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 8:10 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -58.928 - -59. Round r to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -0.1 (c) 1\/5 (d) -16284 (e) -4 (f) -3\/8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = 16\/1748411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 124665390?\nAnswer: 2, 3, 5, 1385171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*k = 32, 4*k = 3*s + 13 - 45. Suppose -2*u + 4*g = -s, 0 = 6*u - 3*u - g - 2. Solve u = -3*l - 2*c + 3, 0 = -0*l + 3*l + 5*c - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20.96995666 + 20.97. What is x rounded to six decimal places?\nAnswer: 0.000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19519850 to the nearest integer?\nAnswer: 4418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17842.8 - -17840.991658. Let k = -1.806 - o. Round k to four dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, 27, 6, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 6*w**2 + 3. Let f be a(6). Let m(b) = 8*b**2 - 2 + 1 - b**2 + 4*b - b**f. Calculate the remainder when m(7) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*x = 5, -18 = -5*j - 3*x + 7. Suppose c + j*l = -7, 5*l = -2*c + l - 2. Suppose 0*s + 0 - 2\/7*s**2 - 2\/7*s**4 - 4\/7*s**c = 0. What is s?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*l = 9 + 7, -3*i - l + 4 = 0. What are the prime factors of -3 + i + -3 + 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -0.200138\nAnswer: -0.200138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 7*q + 244 = q - 4*t, 0 = 2*t - 8 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*j + 8*j**3 - 5*j**3 + 4*j**3 + 486*j - 5*j**3.\nAnswer: 2*j**3 + 318*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 61143 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(136\/40 - 3)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 21*s + 62. Let o be m(-23). Let r(q) = -o*q - 1 - 1 + 17*q - 1. Determine r(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15150 + 15177. Let d(z) = z**3 - 4*z + 7. Let r(v) = -6*v**3 + 27*v - 48. Determine c*d(n) + 4*r(n).\nAnswer: 3*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4159, -6747, -9333, -11917, -14499, -17079, -19657?\nAnswer: -22233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3006293\/262 or -11474?\nAnswer: -11474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 179*y - 10. Let s(h) = -h**2. Determine l(s(k)).\nAnswer: -179*k**2 - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169121, -169123, -169127, -169133, -169141?\nAnswer: -169151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hffqqsfqqfxshfxfqx. What is prob of picking 1 q and 2 s?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30320 - 15115 - p - 15205.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -97 + -26 + (-12 - 10 - -36).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105 + 212 - 3*v**2 - 107.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 10*h**2 + 2 - 2*h**2 - 1 in the form f + x*h**2 + p*h and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/23 (b) -2\/79 (c) -2 (d) -48 (e) -0.2 (f) -5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l = 25 + 125. Let j(r) = r**3 - 10*r**2 - r + 2. Give j(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48.2 - 13.4. Let w = i + -34. Let x = 1 - 1. Which is the second smallest value? (a) 0.4 (b) x (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1476650, -1476697, -1476744, -1476791, -1476838, -1476885?\n\"Answer: -47*i - 1476603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-17)\/g)\/g)\/g)\/(g**(3\/13)\/g))\/(g**(-13))**(-24) assuming g is positive.\nAnswer: g**(-4306\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 10 = 7*x. Suppose 0 = x*d + 20 - 62. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*v**3 - 4*v**2 + 13*v - 22961?\nAnswer: -21*v**2 - 8*v + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 7 = -5. Suppose 3*q - 58 = -5*y, 2*q = -2*y + i*q + 18. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1. Let i(d) = -3*d - 7. Suppose -4*k - 5*r = -19, -5*k + 2*r + 11 = 4*r. Let f(g) = k*i(g) - 2*s(g). What is the derivative of f(u) wrt u?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w. Let k(z) = 88 + 5*z - 4*z - 53 + 31. Calculate o(k(n)).\nAnswer: -2*n - 132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 3*x**2 - 2*x - 1. Let d be y(-3). Let f(b) = -b**2 + 4*b + 12. Does 7 divide f(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**4 + 3*x**4 - 3*x**4)*(0 - 3 + 5)*(-3 + 46 - 13) + 2*x**3 - 2*x**4 - 2*x**3.\nAnswer: -62*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1041, -2099, -3157, -4215, -5273, -6331?\nAnswer: -7389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 738895, 1477825, 2216781, 2955775, 3694819, 4433925, 5173105?\n\"Answer: 2*t**3 + t**2 + 738913*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 5*x**3 + 2*x + 1. Determine k(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00210425 to four dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, q: 1, b: 6, k: 1, m: 6, j: 1}. What is prob of picking 1 a, 2 m, and 1 j?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 19. What is the remainder when 15\/40 + (2 - (-1066)\/g) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 5304*c + 15858. Determine y(-3).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + 8*w - 3. Let i be s(6). Let r = i + -64. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/(-12))\/((-2)\/8). Let o(p) = -19 - 21*p - f*p + 19. Let r(l) = -3*l. Give r(o(a)).\nAnswer: 69*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 40341, 40340, 40337, 40332, 40325, 40316, 40305?\n\"Answer: -y**2 + 2*y + 40340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-24)\/(-4) + 30\/(-4)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(1\/4))\/y*y**(7\/3) assuming y is positive.\nAnswer: y**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1250584, 1250476, 1250378, 1250296, 1250236, 1250204, 1250206?\n\"Answer: a**3 - a**2 - 112*a + 1250696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 + -25. Suppose -w - 9 = -3*z + c, 4*z - 11 = -5*c. Suppose 3*r = -z*r + 56. Solve 2*h + 0 + r = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3514 + -3518. What is the second biggest value in 2, -2, -3\/4, 0.04, u?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 256 and 91790112.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -10*t. Let d be 9\/(4\/(6 - 2)). Let o = 11 - d. Let c(f) = -3*f**2 + f**2 + 3*f**o. What is c(y(n))?\nAnswer: 100*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 222121 (base 4) to base 14\nAnswer: dbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165862.\nAnswer: 2, 127, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 19748639?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1\/27 - -14\/12771. Calculate the common denominator of -44\/129 and r.\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6695706g to micrograms.\nAnswer: 669570.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/6 (b) -0.02351 (c) -51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of s**4\/6 + 7*s**3\/6 - 6*s**2 + 33*s. Let w be j(-6). What is the units digit of 3195\/w - (-6)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5849, -23403, -52663, -93629, -146301?\nAnswer: -210679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -4*d**2 + 7*d + 13. Let b be p(-3). Let w be (-6)\/(-4)*b\/(-3). What is the greatest common divisor of 319 and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 2:29 AM?\nAnswer: 12:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - 11*q + 37. Let b be w(-14). Let z = 1 + 1. Put -3, 4, z, b in decreasing order.\nAnswer: 4, z, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4 - 64515*b**3 + 258044*b**2.\nAnswer: b**2*(b - 64511)*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 7:00 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -332703000 rounded to the nearest 1000000?\nAnswer: -333000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/60*-3*330\/(-1815).\nAnswer: -1\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 8 = 4*r, -4 = 4*r - 4*q - 0. What is the common denominator of (-2)\/(-45)*(-20)\/(r + -3) and 37\/21?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of i**4\/12 - 5*i**3\/2 - 11*i**2. Let z be g(9). Sort 1, -3, z in decreasing order.\nAnswer: z, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-12)*(-9)\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 714\/(-35) - (-6)\/15. Let f be (-8107)\/15246 - (-4)\/126. Which is the nearest to -2? (a) f (b) -0.4 (c) u (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 - -41?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i + 522 = 482 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 257488117, 514976234, 772464351, 1029952468?\n\"Answer: 257488117*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 23 = 3*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 4) + 0 + 2 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13 * -34696.1.\nAnswer: 451049.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 g when two letters picked without replacement from {i: 3, g: 3, k: 5}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in three tenths of a microsecond?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a37349a5 + 3?\nAnswer: 1a37349a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00007010262 to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*c, t - 4*t + 70 = 2*c. Suppose -5*b = 3*u - t, 0 = b - 2*b + 5*u - 12. Solve 2*w - 3*w = b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xpymmmwpppbwwpm. Give prob of picking 2 w and 1 p.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99505825?\nAnswer: 5, 359, 11087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15 + 1\/(4 + -3). Suppose -10*q + n = -14. Solve -6 - 14 = -3*f + 4*h, q*f - 25 = 5*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 547598.5 meters?\nAnswer: 547598500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. Let b = 6 + -11. What is the second smallest value in b, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 + 19. Let l = 34 + h. What is the derivative of -17*f**2 + 34*f**2 - l*f**2 - 12*f**4 + 2 wrt f?\nAnswer: -48*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000973902 to six decimal places.\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68 + 75. Suppose -3*d - 19 = -5*o, -u*o = -5*d - 3*o - 10. Let p = 3 + -1. Calculate the highest common factor of d and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 16 = -0*n. What is the third derivative of 0*y**2 - 2*y**n - 3*y**2 + 6*y**2 wrt y?\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qqqqqqqfqqqqq?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211210 (base 5) in base 9?\nAnswer: -34100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/7)\/((-7)\/(-98)). Suppose 13*f - 9*f = y. Is 3 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, d: 2}. Give prob of sequence didi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - b + 1297*b**3 - b**2 + 1 - 1298*b**3 - 2*b**4 + b to f + u*b + j*b**2 + h*b**3 + l*b**4 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2363 - 1276. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 482 and 0.063.\nAnswer: 30.366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 + 8 + 8)*((-42*a**5 + 7*a**5 + 19*a**5)*(-1 + 2 - 3) - a**5 + a**5 - a**5).\nAnswer: 1457*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r + 13. Let w be l(-2). Suppose 9 = 8*b - w. Put 3, b, -3, -4 in decreasing order.\nAnswer: 3, b, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3801 + 8002. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 13, b: 3, d: 1}. Give prob of sequence bdt.\nAnswer: 13\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -6*j**2 + 79*j - 40. What is the remainder when 1093 is divided by k(4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 422 a factor of 38977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 20*w - 8. Suppose -d = -5*d + 44. Is y(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6282, 12561, 18838, 25113, 31386, 37657?\nAnswer: 43926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most -1\/19940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 69857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 12 = 4*q, c - 11 - 10 = 5*q. Let s = -6 + c. Let h be 3\/12 + (-3)\/12. Solve -j - 4 + s = h for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 PM and 12:45 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1742 + 2594. Suppose 0*d + z = -12*d. Which is smaller: -73 or d?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*c = -355*c - 6732 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28 + 29 + 37 - 130*j + 68*j**2 - 2*j**3 - 60*j + 30*j**2.\nAnswer: -2*(j - 47)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.015 - -0.635. What is v rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 10. Let q(x) = -x**2 - 5*x + 8. Let y be q(c). Is (262\/(-8))\/(y\/(-8)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*w**3 - 1585*w**2 + 7110*w - 4040.\nAnswer: 5*(w - 101)*(w - 4)*(3*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2446696 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 15) to base 8\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1163 - 2985 = -30*q + 100*q - 842 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 - -4. Let w = -15 - s. Suppose 5*o - 2 = 4*x - 374, 5*x - 2*o - 482 = 0. What is the highest common factor of w and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 531068 and 11601?\nAnswer: 4779612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2008 less than -186?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*j + 667 - 667)*(38*j - 38*j - j**2) + 3*j**3 - 3*j**3 + j**3 + (j**3 + 3*j**2 - 3*j**2)*(-2 - 1 + 1).\nAnswer: -41*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13986030?\nAnswer: 2, 3, 5, 466201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z + z**5 + z + (-5*z**2 + 19*z**2 - 2*z**2 + z)*(4*z**3 - 2*z**3 + z**3)*(0 - 1 + 3 + (3 - 3 - 3)*(2 - 2 + 2)).\nAnswer: -143*z**5 - 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18 and 4878.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**11*l\/(l\/(l**(-7\/2)*l*l)*l) assuming l is positive.\nAnswer: l**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 12 = 2*x, 3*g - 6*x + x - 18 = 0. Suppose 0 = -29*c + 183 - 9. What is the highest common divisor of g and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/3 of a century?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/1)\/(78\/(-26)*3\/(-63))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110000111 (base 2) in base 7?\nAnswer: 4061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -129, 4 in ascending order.\nAnswer: -129, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 - 12047.\nAnswer: -11976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from ddndddddwckd.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 3127?\nAnswer: 31270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + sqrt(171) + (sqrt(171) + 0 - sqrt(171)))*-6 - (sqrt(19) + 0 + 3 + -3 + 3))**2.\nAnswer: 684*sqrt(19) + 13880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 508 = 21*w - 129*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*s - 0. Let m = 2 + s. Which is bigger: m or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291940?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(832) + 4 + sqrt(832) + 0)*5)**2.\nAnswer: 80000*sqrt(13) + 2090000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2. Let g(r) be the third derivative of r**5\/20 + r**4\/3 + 6*r**2 - 121*r + 2. Calculate g(t) + 4*w(t).\nAnswer: -t**2 + 8*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 889 + -247. Suppose g = h + 162, -3*g - g + l = 2*h. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1173 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -24295*a - 24732319. What is i(-1018)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 275579671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 310107726793 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2398)\/2834)\/(88\/(-144))?\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11445 and 122080?\nAnswer: 366240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/(-378)*-1*(-234)\/780*(-256)\/48?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -121 (b) -459 (c) -2\/13 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1502820 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z - 4*t = -6*z + 8, z + 29 = -5*t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -396 divided by -6.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1394444 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 28. Which is the smallest value? (a) -1 (b) q (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2139 a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3370*o + 2 - 3372*o - 2.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h + 170 - 170 - 13*h.\nAnswer: -4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**3 - f**3 - 4*f**3)*(-3 - 3*f**2 + 3) + (4*f**2 - 4*f**2 - 2*f**4)*(-f - 3*f + 3*f).\nAnswer: 17*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - ((-1 - (-1 - 5)) + (-14 - -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -182056?\nAnswer: 182056.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -2*(-6)\/3. Suppose h = -7*v + 90. Let t = 25 - v. Solve t = 3*q + z, -11 = 2*q - 3*q - 2*z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10212010112 (base 3) to base 7.\nAnswer: 434213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 116 - t - 117 + 0*t. Give s(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -4. Let b = 9 + -6. Let a = 8 - 4. What is the nearest to l in -2, a, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2017373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**2 - 224*a - 883. What is m(-52)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -26 (b) 5 (c) -9.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 + -25. Let t be ((-6)\/q*3)\/4. Are 1\/2 and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -2*h**2 + 51*h + 313. What is s(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2088\/6*(-3)\/4. List the prime factors of (-1)\/3*(a - -6).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -42 (b) 3\/10 (c) -1 (d) 2\/19 (e) 374\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -62 + 239862218346\nAnswer: 239862218284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 81*c**5 - 261*c**4\/4 - 163*c**3\/2 + 151*c**2\/4 + 25*c + 3 = 0?\nAnswer: -3\/4, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y - q + 68 - 111 - 21 = 21*y, -2*y = q + 31 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 4 + 0 + 3 - -5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 969*h - 34426 = 955*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) - sqrt(425)*4 - (sqrt(85)*2)\/sqrt(5).\nAnswer: -21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18)\/(-21))\/(-3)*(-14)\/24?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.024 + 0.104. Let s = -0.5 + 0.68. Let y = r - s. Which is the closest to -2? (a) -4 (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bttb when four letters picked without replacement from {b: 3, t: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4550, 9069, 13570, 18053?\nAnswer: 22518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 (base 10) in base 14?\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p + 3 - 1 + 5. Let o(k) = -k + 13. Let b(d) = -6*o(d) + 11*x(d). What is the remainder when b(-5) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2939612 divided by -226124.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13870769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10044783 is divided by 1190.\nAnswer: 1183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**2 + 26*i + 10. What is the smallest common multiple of 7 and l(13)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/1*(-176)\/(-4400).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.05 and -3.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 6 + -7 + 1988\/1008)*4\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51*d**5 - d**4 - 2*d**2 - 2135*d - 2?\nAnswer: -1020*d**3 - 12*d**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 3, 13, -0.03, -4\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/478078 and 61\/114?\nAnswer: 1434234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + 34. Suppose 5*q - 3*q - b = 0. What are the prime factors of q?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1347 - 960. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, e: 1, k: 1, i: 5}. Give prob of sequence irk.\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76841 * 385.\nAnswer: 29583785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 + -200122221?\nAnswer: -200122102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -4*z**2 + 37*z. Let l(d) = 7*d**2 - 74*d. Let i(t) = -4*l(t) - 9*v(t). List the prime factors of i(9).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.9765 - -10092131?\nAnswer: 10092165.9765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1662944 and 136276?\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 + 36*h**2 + 95*h - 69. What is the tens digit of k(35)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 769 and 0.16.\nAnswer: 769.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - a880?\nAnswer: -a883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 6, 5*g + 2 = -7*u + 6*u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from udduuduuuud.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/49 and -32\/3009.\nAnswer: 147441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -2 + 1*sqrt(108).\nAnswer: -1 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (375 - 420)\/(30\/(-24))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14505, -14511, -14519, -14529?\nAnswer: -14541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 12*x = 12, -2*u - 360*x + 358*x = 4 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -5226*z + 117. Let t(a) = 275*a - 6. What is 4*h(g) + 78*t(g)?\nAnswer: 546*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-2\/19)\/n**4*(n*n\/(n\/n**(-2)))**(-30) assuming n is positive.\nAnswer: n**(492\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68486 and 5158241?\nAnswer: 3113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3251, -13051, -29391, -52277, -81715, -117711?\nAnswer: -160271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c**2 + 5*c + 6. Let z be v(-1). Solve 17 = 2*m + x + 13, -3*m + z*x = -17 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-552)\/20286)\/(4\/(-42))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2180?\nAnswer: 2, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -24*v - 59. Let t(u) = -13*u - 29. Calculate 6*q(w) - 11*t(w).\nAnswer: -w - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 10:51 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*a*k**2*x**2 - 3*a*k + 58*a*x**2 - 2*k**2*x**2 - 178*x**2 wrt a?\nAnswer: 5*k**2*x**2 - 3*k + 58*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.13, 2073, 0.4, 1?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16 by 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*j**3 + 14*j**3 - 8*j**3 + (1 - 1 + j**3)*(10 - 16 - 6).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -9.7, -19, 0 in descending order.\nAnswer: 0, -9.7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 80111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1)**50*(i**(-1))**(-2\/5) assuming i is positive.\nAnswer: i**(252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 283*f*y**4 - 5*f*y**2 + 2*f + 6874 wrt y?\nAnswer: 1132*f*y**3 - 10*f*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((6*(-2)\/(-24))\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*m = 88*m. Suppose 3*j - 4*o = 33, m*j - 4*o + 33 = 3*j. What is the highest common divisor of j and 253?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -61*j**3\/6 - 2*j**2 + 3*j + 9. Let w(m) be the first derivative of p(m). What is the tens digit of w(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*d**2 - 28*d**2 + 36*d**2 to w*d**2 + f + y*d and give w.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29057, -3, -1299 in increasing order.\nAnswer: -1299, -3, 29057","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 4. Let l = 5 - 8. Let m be q(l). Is -1\/9 bigger than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 3 = -3*l - 5, -2*l = -5*d + 1. Sort -0.2, 0.3, d, 4\/9 in increasing order.\nAnswer: d, -0.2, 0.3, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3 + 0 = 0, 0 = -3*j + 4*p - 42. Let o = -2 - -2. What is the units digit of ((-16)\/j - o)*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 9*h**2 - 12*h + 25. Let x be m(10). Which is the second biggest value? (a) x (b) 3\/2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 8 (b) -5 (c) 0 (d) -11 (e) 115\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - n. Let p be s(1). Let c = 0.104 - 0.129. Let a = 4.975 - c. Is a > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 - -45. What is the greatest common factor of n and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230 divided by 199281.\nAnswer: -230\/199281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1 - 85\/(-95) - 234\/(-57). Suppose -190 = y*m - 1086. Let w = -6 + 34. Calculate the highest common divisor of w and m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 + 19*q. Let a(m) = -150*m + 700. Let j(r) = 25*r - 120. Let f(b) = -6*a(b) - 35*j(b). What is o(f(p))?\nAnswer: 1250*p**2 + 475*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(3 - (1 - (-62 + -3))). Let p be 2\/18 + 20783\/y. Round p to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*c + 4. Let m be 238\/21 - 1\/c. Suppose -6*w = -m*w + 20. What is the third smallest value in -2\/21, w, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t - 3*t + 4*t + 73*t - 94*t - 96*t + (5 - 1 - 3)*(3*t - 2*t + t).\nAnswer: -117*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 3060278.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)*2)\/(sqrt(15)\/(sqrt(20)\/sqrt(4) + sqrt(5))).\nAnswer: 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 > -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -626.4999983971 + 626.5. Round l to seven decimal places.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*t - 5*j - 55, 2*t = 5*j + 33. Let l = -12 + t. Which is the third biggest value? (a) l (b) 4 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -117357*t**3*v**3 + 45580*t**3*v - 30*t**2*v**4 + 127*v**2 wrt v?\nAnswer: -704142*t**3 - 720*t**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 7 = n - 14, l - 3*n = -11. Solve -20 = -l*m - 4*g, m - 3*g = 3*m - 14 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5166?\nAnswer: 2, 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216535 and 8870092.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 5:01 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s + 99 = 20*s - 9*s, 683*c - 2*s + s = 3316 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3794*c**3 + 8 - 4 + 7659*c**3 - 3871*c**3.\nAnswer: -6*c**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -6 + z - 2 - 4 + 6. Let t be i(9). Suppose j - 5*r = 1, -2*j - j + 39 = t*r. Calculate the remainder when j is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-1 + sqrt(13) + -1 + 5 + sqrt(1053)))**2*3.\nAnswer: 720*sqrt(13) + 15708","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 73750 + 265?\nAnswer: 74235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 79640 to the nearest ten thousand.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 3, -6116, -4, -27 in decreasing order.\nAnswer: 8, 3, -4, -27, -6116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.002, -5, 17, 4 in decreasing order.\nAnswer: 17, 4, -0.002, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + s + 20 = 0, 2*k - 15 = k + 4*s. Let o be (6\/k)\/((-8)\/20). Suppose 2*y + o*y - 100 = 0. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u**3*x**2 + 544*u**3*x - 4*u**2*x**2 + u**2 + 4*x - 10 wrt u.\nAnswer: -6*x**2 + 3264*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -3*c**2 + 26*c + 9. Let a be w(9). Suppose 63*m - 60*m - 9 = a. Solve 0 = -5*j - 7*s + m*s, 3*s = 15 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.22 (b) 0.5 (c) -548 (d) 2\/269\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/280 and 145\/126?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -7*i + 152. Let n be 8 - (2 - (-12)\/6). What is the second derivative of 25*c - 20*c + 0*c**4 - 19*c - i*c**n wrt c?\nAnswer: -456*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/27? (a) 2\/15 (b) 46\/21 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 153, 529, 1155, 2031, 3157, 4533?\n\"Answer: 125*l**2 + l + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1524, -3076, -5690, -9366?\n\"Answer: -531*z**2 + 41*z - 1034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 124549*x**4 - 369923 wrt x.\nAnswer: 498196*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 plus -5.1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -15007000 rounded to the nearest 100000?\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 z when three letters picked without replacement from eeezaeaazaaaaaeeec?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2697 = -6*p + 687. What is the highest common factor of p and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3*r + 28 = 0. Let g(w) = 197 - 7*w - w - 238. What is the units digit of g(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31999 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46, 131, 254, 415?\n\"Answer: 19*j**2 + 28*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (1845*n**2 - 3684*n**2 + 1838*n**2 + 593)*(0 + 2 - 6) in the form v + y*n**2 + g*n and give v.\nAnswer: -2372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 7*l**2 + 10*l - 63. Let v be h(7). Find the third derivative of v*q**4 - 8*q**4 + 142*q**5 + 7*q**4 + 2*q**3 - 195*q**2 - 6*q**4 wrt q.\nAnswer: 8520*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24414 + -55445?\nAnswer: -113162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, -20, -70, -150, -266?\nAnswer: -424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -175, -337, -485, -613, -715, -785?\n\"Answer: m**3 + m**2 - 172*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(128)*2 + 4)**2 - ((sqrt(8) + sqrt(8) + (sqrt(40)\/sqrt(20) - sqrt(8)))**2 - (sqrt(72) + 1)).\nAnswer: 774*sqrt(2) + 18431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 28?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**21\/((t\/(t\/t**11)*t)\/t))\/(t**22)**48 assuming t is positive.\nAnswer: t**(-1046)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75 is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -94, -209, -336, -469, -602, -729, -844, -941?\nAnswer: -1014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10599 is divided by 272?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 12:43 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.952791 to zero decimal places.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 4\/619?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3463 + 1573. Is 11 a factor of a\/(-4) - (-17)\/34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 + -1.6?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 401\/13 - 31. Let w = 9\/26 - y. Let f = -175\/377 - -9\/29. Which is the nearest to 0.1? (a) f (b) w (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 173 + -108. Suppose -3*c = u - 2*u - 1551, c - 503 = 5*u. Calculate the remainder when c is divided by k.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 20, -20, -4, -6\/7?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.787 rounded to zero decimal places?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - (sqrt(99)*1 + sqrt(99)) - sqrt(99))*-2 - ((sqrt(99) - 1*sqrt(99)) + sqrt(99) - sqrt(99))*4)\/(-2*-1*sqrt(1089) - sqrt(1089)).\nAnswer: 5*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -3, 0.7, 1\/6 in increasing order.\nAnswer: -3, 1\/6, 1\/5, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2115 = -2103 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122210 - 121?\nAnswer: 122012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 131336409 a multiple of 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1198 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(4\/2 - 1). Suppose -8*t + 4*t + 4*i + 60 = 0, -15 = -s*t + 5*i. Find q, given that -30 - 6*q**4 + 5*q**3 + 30*q**2 - t*q + q**4 - 11 + 1 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/(1260\/27))\/((-48)\/28).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/1 - 32\/(-8). Let q be (-3 + j - -7) + -4. Let h be (-1 - -13)\/(q\/(-20)). Round h to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2701*g**2 - 2701*g**2 - 4*g**3.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/x**(-29))\/x)**(-2)*((x*x*x*x**(-1\/69)*x)\/x)**(-19))**39 assuming x is positive.\nAnswer: x**(-102908\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, 72, 126, 184?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11931896 and 18?\nAnswer: 107387064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*p**2 + 49*p**2 + 44*p**2 + 52*p**2 + 56*p**2 - 265*p**2.\nAnswer: -11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424, -1697, -3820, -6793, -10616, -15289?\nAnswer: -20812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of -17*f**2\/2 - f + 6. Let d(m) = m**3 - 6*m**2 - m + 4. Let i be d(6). List the prime factors of t(i).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.02 + -0.22. Let y = 3.6 - u. Let o = -14 + 16. What is the second smallest value in o, y, -6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - g + 1. Let b(t) = t**3 - 2*t**2 - 8*t + 11. Let h(k) = b(k) - 4*d(k). Let r = -56 + 63. What is the tens digit of h(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5536 + 81201 = -2045*a for a.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88016.\nAnswer: 2, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand v**2 + v + 0*v**2 - 6*v + (2*v**2 - 4*v**2 + 0*v**2)*(-2 - 2 + 3).\nAnswer: 3*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a + 91 - 281 = 0. What is the least common multiple of 170 and a?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*v + 199021, 3*c + 5*v = 51291 + 545748. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1313*j**2 - 442*j**2 - 439*j**2 - 437*j**2.\nAnswer: -5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/(-14))\/(1\/(-7)). Suppose k - 4*h = -k - 4, 3*k - 4*h + b = 0. Solve k*f + 3 = 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*k**4 - 26360*k**3 - 6980056*k**2 - 16638432*k - 9960336.\nAnswer: -(k + 526)**2*(5*k + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 5*u - u + 141, 5*k + 3*u = 148. Calculate the remainder when 113 is divided by k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 26\/3301 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*v - 5*z, 5*z + 11 = -1677*v + 1680*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -283 = -5*a + 277. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 3*o + 0*o - 3*o + 4*o + (4*o - 3*o + 0*o)*(3 + 1 - 3) - 796 + 47*o - 32*o - 16*o.\nAnswer: -2*o - 796","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19212 + -19206. Solve n*j = 16 + 26 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 11 = -3*h, 0 = -0*t - 4*t + 3*h + 25. Suppose -5*l - 686 = -t*l. Calculate the remainder when ((-48)\/144)\/(l\/(-687) - 1) is divided by 33.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/2410 and 21\/40.\nAnswer: 9640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61 + 65. Suppose -v + w*v = -5*n - 37, 28 = -4*n - 2*v. Let s be (3\/(-33) + 0)*6\/(-3). Sort n, 3, -4, s in increasing order.\nAnswer: n, -4, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 8*g**2 - 2*g - 4. Let s(z) = -z**2 + z + 1. Determine 5*s(o) + x(o).\nAnswer: 3*o**2 + 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 1. Let q(m) = -17*m + 5. Calculate -q(g) - 4*s(g).\nAnswer: 21*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u + 1. Let q be x(3). Let c = 6.96339 + -10.96339. Sort -3\/4, q, 1\/6, c.\nAnswer: c, -3\/4, 1\/6, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -6*n**3 - 6*n**2 - 9*n - 62. What are the prime factors of k(-8)?\nAnswer: 2, 19, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2252 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -63 divided by 11.\nAnswer: -63\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -20 - -4?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 204 and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 160 and 200?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-20) + 3087\/(-10332) + (-300)\/(-1107). Let m = -4 + 3.6. Which is the nearest to v? (a) m (b) 3 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 38319 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 84719 - 238714. Let g = 153994.830022 + r. Let w = g + 0.17. Round w to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 153307 greater than or equal to 153073?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*r**3*u**3 + r**3 - 161*r**2*u - r*u**3 wrt r?\nAnswer: -54*u**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 + b**4 + b**4 + (-2*b - b**2 + 2*b)*(-b - 2*b**2 + b) + (-1 - b**2 + 1)*(-b + b - b**2) + 1 - 4*b**4 - 1 - 2 + b**4 + 2.\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 580 and 54114?\nAnswer: 541140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, w: 2, m: 6, f: 1, c: 2}. What is prob of picking 1 f and 2 c?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -623031\/4 or -155759?\nAnswer: -155759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 3*j. Let f be (-4)\/(-10) + (-72)\/(-45). Suppose -2*w + 10 = -3*l, -2*w - 18 = -f*l + 6*l. Give k(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14437 = 1525*l - 20638 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -2*o + 3*h + 16, 28 = -4*o - 3*h. Let s(g) = 3*g - 2*g**2 + 24081 - 24081. Let a(y) = y + 3*y - y**2 + 0*y**2. Calculate o*s(r) + 3*a(r).\nAnswer: 5*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -30221 (base 4) to base 13\nAnswer: -4a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/10 + (-1258)\/(-370).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 117435136?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3394?\nAnswer: 2, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.2 to the nearest integer.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + 5*k**4 - 3*k**4 + 4*k**3 + (0*k + 2*k**2 + 0*k)*(-2*k**2 + 3*k**2 + k**2) + (2*k - k**4 - 2*k)*(-4 + 3 + 2) - 2*k**4 - 2*k**4 + 0*k**4.\nAnswer: k**4 + 4*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*o + 2012 - 10414 - 40 = 0 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 = -q, 4*o = -3*q - q + 28. Suppose q*y - 14 = 16. Solve 0 = 3*r + 5 + y for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-4))\/(2\/60). Let u(t) = -10*t + 1. Let s be u(1). Let a = x - s. Sort -1, a, 0 in descending order.\nAnswer: 0, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*w - 150 = 12*w for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 143?\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - 6. Let g(u) = u**2 - 1. Let j(y) = 7*y**2 - y - 6. Let m(r) = l*g(r) + j(r). What is z in m(z) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 - 5. Let l = 10 - 6. Let y = h + l. Which is the closest to -1? (a) 1 (b) y (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3417*r - 3417*r - 3995*r**2.\nAnswer: -3995*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/2)\/(4\/8). Let d = u + 4. What is the units digit of (-6)\/15 - (-52)\/d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 (base 14) in base 4?\nAnswer: 3213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5219, 41773, 141019, 334313, 653011, 1128469?\nAnswer: 1792043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of 103*p**5\/10 - 9850*p**2. Let g(c) = c**2. Calculate g(x(t)).\nAnswer: 381924*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6627654?\nAnswer: 2, 3, 11, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 706 is divided by 181.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -1\/6*t**3 + 0*t + 0 + 46*t**2 + 7\/24*t**4. What is j(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -d + 4. Suppose -q + 54 = q + 2*k, 2*k = 3*q - 91. What is the remainder when q is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3*(-2*sqrt(125) - sqrt(125))**2 - sqrt(125)).\nAnswer: -10125 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29208?\nAnswer: 2, 3, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4615 plus 0.0128147858?\nAnswer: 4615.0128147858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5938488s to hours.\nAnswer: 0.000164958","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 3*q + 1. Let p be z(-2). Let t = 6 - 3. Suppose -t*f + 48 + p = 0. Is 13 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 78*r - 4*r**4 + 65*r + 7*r**4 + 10*r - 23*r**2 + 20*r**2 to the form p + a*r**3 + k*r + n*r**4 + l*r**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3905, -8176, -13169, -19244, -26761?\n\"Answer: -60*q**3 - q**2 - 3848*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/7, -2867\/11, -0.2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*l = -m + 15*l + 17, -5*m = 5*l + 15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**3 + 102*x**2 - 558*x + 119. Determine k(-56).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-43)\/(-28) + 4\/(-14). Let i = 193\/52 - 32\/13. Let i*g**3 + 1\/2 - 1\/2*g**2 - b*g = 0. Calculate g.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.9170973 micrograms?\nAnswer: 0.0000000000009170973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 45\/(-12) + 3\/(-12). Let w be 2 + -2 + d*1. Let b = 9 + w. Solve -b*k + 35 = -0*k - 3*j, j = -2*k + 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 300\/240 + 7\/(-4). Which is the closest to 0.045? (a) p (b) -0.1 (c) 1\/14 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 295775 (base 10) to base 9\nAnswer: 500648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 20*u - 3. Let k be p(8). Suppose -k = -3*a + 74. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by -23305.\nAnswer: 5\/4661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/16*(-106)\/(-3). Suppose -2*j - y = -3*j. What are the prime factors of j?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/7 (b) 3\/4 (c) 5 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 110213779 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-1 - (8 + -3)) + -30 + 25.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-236686)\/3)\/(72\/(-108)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/120)\/((-6)\/16).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 12:49 PM?\nAnswer: 8:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2.68, 3, -8, -0.03, 0.5, -4, -3\/14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -s, -5*s + x + 8 = -4. Suppose -125 = s*z - 5. Find the common denominator of (147\/(-15))\/((-4)\/(-10)) and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -347.41 and -3?\nAnswer: 1042.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 187275 (base 11) to base 14.\nAnswer: 76c68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 13 = 52. Let u(g) be the first derivative of -g**4\/4 + 3*g**3 - 11*g**2\/2 - 8*g - 13. Let j be u(7). What is the greatest common divisor of o and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177243 is divided by 4149.\nAnswer: 2985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 + 4*f**2 - 8*f + 4. Let t(i) = i**3 + 3*i**2 - 7*i + 4. Let v(q) = 1710*q + 10265. Let g be v(-6). What is g*s(r) - 6*t(r)?\nAnswer: -r**3 + 2*r**2 + 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 168851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) 5 (b) 30.2 (c) -128 (d) 1\/2 (e) -2 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 188c8c8 + 5?\nAnswer: 188c8cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from pmmmmmmpmpmmmpmppm?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.96694l in millilitres?\nAnswer: 5966.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-q + 3*q + 2*q)*(2*q + 0*q - 4*q)*(87 - 5*q**2 - 87)*(-6 + 3 - 2)*(3 - 4 - 2) to u + g*q + p*q**2 + l*q**4 + m*q**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2, 3\/5, 3, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -205 (base 16) to base 6\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*f**3 - 4933 + 4933.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3304021 (base 5) to base 4.\nAnswer: -31312321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5035280132?\nAnswer: 2, 1258820033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 523 + -16242?\nAnswer: -15c1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -250768 > -250844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-40)*-4*4\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.107+21.06\nAnswer: 21.167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2. Suppose 9 = 3*j - 6. Suppose -3*q + 1 = -j. Let g(d) = -d**2 - 10*d**2 + 3*d**q. Give g(z(m)).\nAnswer: -32*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2301, 4612, 6933, 9270, 11629, 14016?\nAnswer: 16437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((19740\/(-200))\/141)\/((-1)\/(-4)).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -6551*q - 6560. Calculate c(-1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9116.78ml to litres.\nAnswer: 9.11678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 26*k**2 + k - 2. Calculate p(1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17521765 or 17521758?\nAnswer: 17521765","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2194908*r**4 - 8715*r + 6 wrt r?\nAnswer: 26338896*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-4)\/(-64)*(-12)\/(-2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -872375 * 0.2.\nAnswer: -174475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 15 + 2419*u - 2420*u + 114*u - 72*u - 54*u + (-2 + 3 + 0)*(-5*u + 3*u + u) in the form g + i*u and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/(-364)*(117\/6)\/(-3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*x - 11*x + 405 = 0. Let c(w) = w**2 - 9*w - 10. Give c(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p + 5. Let o be s(-6). Let a = 59 + o. Calculate the greatest common divisor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -16, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 41 = 4*x, 20 = x + d + 3. Let y = 16 - x. Calculate the smallest common multiple of y\/12 + (-1040)\/(-96) and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 15*f = -16*f - 6, 8 = -4*j - 4*f for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7833 - 3915 - 3918 + 342*h.\nAnswer: 342*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-14 + 15 + 8)*(-4*i + 2*i**3 + 4*i) + 2*i**3 - 3*i**3 + 0*i**3 + (i**2 + 1 - 1)*(6*i - 2*i - 2*i) to the form s*i**2 + h + c*i**3 + t*i and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 12:38 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*h**3 + 36*h**2 + 39*h = 0. Calculate h.\nAnswer: -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 33 and 143.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*n + 15 = -5*w + 137*n, -4*n = 9*w + 56 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111100110110 (base 2) to base 11.\nAnswer: -2a20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(119)\/sqrt(700) - sqrt(17)) + 4 + -2*sqrt(85)\/sqrt(5).\nAnswer: -28*sqrt(17)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 - 48*c**2 + 3 - 3.\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 31946023 to the power of 1\/2, to the nearest integer?\nAnswer: 5652","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*z + 115 = -3*z, 2*z - 115 = -3*t. Suppose -3*a = 2*a - t. Solve -a = 3*b - 2*b - 5*m, 2*m + 11 = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -11*f - 66. Let s be g(-6). Let u = 1769 - 1755. Put s, u, -1 in ascending order.\nAnswer: -1, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 u when two letters picked without replacement from guccrr.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9374 is divided by 236.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -554823792401\/22143348 - 12688\/205031. Let l = o - -50111\/2. Find the common denominator of 29\/16 and l.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - i - 324 = 161, 0 = -5*o + 2*i + 610. What are the prime factors of o?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2660 and 1922?\nAnswer: 2556260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 387, 521, 641, 741, 815, 857?\n\"Answer: -j**3 - j**2 + 144*j + 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10 or -46?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*t**3 - 42*t**2 - t - 1138 wrt t?\nAnswer: -12*t - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.06 (b) -5236 (c) -1 (d) 0 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + h + 25, -g + 3 = -3*g + h. Let a be g - -12 - (-6)\/(-2). Solve 5*i + 20 = 2*b + b, i + 4 = -a*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144469 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*(-7)\/35*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9872\/123400)\/(4\/650).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 8450 - 7990 = 0. Sort 1, w, -5 in ascending order.\nAnswer: -5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y**3 - 1. Let z be -89 + (0 - (-10 + 1)\/3). Let a = 63 + z. Let h = -24 - a. Determine m(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -28098 and -28097 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - g - 3*g)*(384 - 125*g - 384 + 2*g**2)*(9*g**2 + 0*g**2 - 3*g**2).\nAnswer: -24*g**5 + 1500*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(4)*6)\/(sqrt(5) + sqrt(55)\/(sqrt(11)*-2) + sqrt(5) + sqrt(5)).\nAnswer: 12*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.263431 + -0.268. Round y to four decimal places.\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/15 of a week in minutes?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -824 divided by -27539.\nAnswer: 824\/27539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2317796555 + 2317796555 - 523*t**3.\nAnswer: -523*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000100 (base 2) in base 11?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 916300?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 12 - -2) + 0. Let f be ((-3)\/3 + -592)*u. Suppose 4*x + f = -2677. What is x rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/20 of a second?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 143 (b) -2 (c) -2\/7 (d) -3 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1210) - (sqrt(1210) - 3*sqrt(1210)))\/(sqrt(242)*-1).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -24964*i**4\/3 - 2348512*i**3\/3 - 59420*i**2 - 1128*i = 0.\nAnswer: -94, -3\/79, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (74\/12)\/((-2)\/2) and -9\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1034711, -1034971, -1035233, -1035497?\nAnswer: -1035763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-41 - (-3485)\/82)\/((-12)\/(-15))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 46268, 46555, 47034, 47705, 48568, 49623?\n\"Answer: 96*d**2 - d + 46173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 8 - 7. Suppose 40 = -k + 5*k. Let z be (-8)\/2*k\/(-8). Solve z = v - y*j, -4*j = 4*v + 8 + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 5*q + 1. Let h be s(5). Let v(z) = 6*z**3 + z**2 - 1. Let p be v(h). Let t(f) = -f + 3. Calculate t(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-5))**(-1\/6))**(2\/35)*(((x\/(x\/((((x\/x**3)\/x)\/x)\/x)))\/x*x)\/((x*x**(-1\/2))\/x))\/(x\/(x*x**(1\/6))*x*x\/(x\/(x\/x**4*x))) assuming x is positive.\nAnswer: x**(-356\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-4)\/(-3)*(-99)\/55\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 - 2*i + 2. Let c be f(1). Put -14, 5, c in decreasing order.\nAnswer: 5, c, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/33))**43 assuming z is positive.\nAnswer: z**(86\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/130 and 51\/144196?\nAnswer: 720980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**2 - 21*n - 12. Let m(o) = 3*o**2 + 31*o + 18. Let a(u) = -7*k(u) - 5*m(u). Is a(-6) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d + 2*d + d)*(0*d + 3*d - d) + 17*d**2 + 27*d**2 + 25*d**2.\nAnswer: 71*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 + 22. Let s = p - -18. Let c = s - -11. Calculate the least common multiple of c and 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of 10 - 21*v + 3*v**2 + 11\/3*v**3. Is h(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21577488.\nAnswer: 2, 3, 17, 31, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 25, -3*m + 6*x - 3 = 3*x. What is the units digit of 4\/m*(0 - -17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 w when two letters picked without replacement from {w: 2, n: 1, b: 2, l: 1, s: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 85638.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-2))\/(-1 - -2). Let l = p + 2. Let f = 22549 - 22536. Calculate the remainder when f is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 824, 3187, 7186, 12821, 20092, 28999, 39542?\n\"Answer: 818*i**2 - 91*i + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 3*i**2 - 4*i + 4. Suppose -3*g = -8*h + 3*h - 22, 4*g - 36 = 5*h. Let p = -11 + g. Determine l(p).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m - 53. Let v be x(0). Let z(a) = 35*a + 544. Let f be z(-14). Let n = v + f. Calculate the lowest common multiple of n and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7830.2401 * -0.4.\nAnswer: 3132.09604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1.32, -5, 3, -3\/2 in increasing order.\nAnswer: -5, -2, -3\/2, -1.32, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.8538 and 1244.\nAnswer: -2306.1272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-4 + -3)) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 22.1764286 rounded to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of 0 + 1\/12*d**4 + 0*d + d**2 + 0*d**3. Let r(n) = -n**2. Determine r(i(m)).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 295502180?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**3 + g**2 - 2*g - 2. Let f(v) = -23*v**3 + 8*v**2 - 9*v - 10. Give f(o) - 5*p(o).\nAnswer: -28*o**3 + 3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 580 and 13226900.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1350 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11445 and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**3 - 6*v**2 - 8*v - 3. What is q(-5)?\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 4)*(51*c**2 + 21*c**2 - 22*c**2)*(c + 2*c - 2*c).\nAnswer: -50*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2629975 is divided by 147.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of 98*y**6\/15 + 17*y**3\/6 - 5*y**2\/2 + 139*y. Find the second derivative of w(r) wrt r.\nAnswer: 2352*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36*d**2 - 2 - 4*d**3 + 4*d**3 - d - 34*d**2 - 5*d**4 to the form x*d**4 + w*d**2 + u + v*d**3 + q*d and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r**2 + 0*r**2 + r**2. Let y(q) = -4*q + 4*q + q. Calculate y(v(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 14*b + 105. Let l be z(20). Suppose -l*s = -383*s - 88. Calculate the remainder when s is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -30698651\/6 greater than or equal to -5116442?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**4 + l**3 + l**2 - l. Let n(w) = 11*w**4 - 2*w**3 - 2*w**2 - 3*w. Let d(b) = n(b) + 2*v(b). Find the second derivative of d(j) wrt j.\nAnswer: 108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.124 - -0.424. Sort p, -0.5, 1, -3 in ascending order.\nAnswer: -3, -0.5, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that p**5\/5 - 38*p**4\/5 + 296*p**3\/5 + 38*p**2\/5 - 297*p\/5 = 0.\nAnswer: -1, 0, 1, 11, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.1778*3\nAnswer: -0.5334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 - 0.2. Let d = -134.4 + 134.7. Let z = -22 - -18. What is the second biggest value in g, -0.4, z, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 263478308.\nAnswer: 2, 17, 173, 22397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fn when two letters picked without replacement from pfpffnapfa?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172*-0.10639.\nAnswer: -18.29908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 239157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/5*(-1)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 6. Is (-3 - m)\/(((-2)\/7926)\/(-1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -23, 12 in descending order.\nAnswer: 15, 12, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 479*y - 18 = -473*y, -5*j = -5*y - 15. Factor j + 1\/2*v**2 + 7\/2*v.\nAnswer: v*(v + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**7\/840 + 5*u**4\/24 + u**3\/2 - 3*u. Let s(j) be the second derivative of r(j). Find the first derivative of s(h) wrt h.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-24)\/30)\/((-17)\/((-1020)\/(-36))).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 + 76.67. Round r to one dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, w: 4, h: 2, k: 2, m: 2}. Give prob of sequence hoho.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/6586 and -27\/23051.\nAnswer: 46102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 259824547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-8))\/(5*(-198)\/(-180))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15240.\nAnswer: 2, 3, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -4*a**3 - 4*a**2 + 5*a - 8. Calculate j(-4).\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 7*u**2 - 22*u + 1. What is v(9)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 166 + 218 = 3*x, -w = -4*x + 512. Let y = -52 + 68. What is the highest common divisor of x and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -35, -77, -137, -209, -287, -365, -437?\nAnswer: -497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -3) + 4 - -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000268021 to six dps.\nAnswer: -0.000268","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -363\/4 - 3\/4*x**2 + 33\/2*x.\nAnswer: -3*(x - 11)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b = -5*r + 29, -b = -0*r - 4*r + 19 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12*((-9)\/(-12))\/(-1). Let l be (g + 1)\/(-2) - 4. Let w = 2 + l. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 4.4649821\nAnswer: -1.33949463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 1\/4 = -12810?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*r - 4*q + 2*q, -3*q + 6 = 2*r. Solve 3 + r = -3*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 6 - 1*-1. What is the units digit of l + (8 + 2 - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**4\/12 + 7*n**3\/6 + 5*n**2\/2 - 8*n. Suppose 48 = 3*s - 7*s + 4*d, -4*s = d + 33. Let u be c(s). Solve -u = -4*i - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0*o = 2, 5*z - 4*o = 18. What is the first derivative of 345*g**z - 34 + 20*g**3 - 345*g**2 wrt g?\nAnswer: 60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47895?\nAnswer: 3, 5, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 930299, 930304, 930309?\nAnswer: 930314","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.11*-2.9.\nAnswer: -0.319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*y**2 + 7*y**2 - 18*y**2 + 6*y**2 - 22*y**2 + 9*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/1472 and -87\/736.\nAnswer: 1472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 2, k: 1, v: 1, c: 1, m: 1}. What is prob of picking 1 m and 1 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**4\/4 - 23*y**3\/4 - 6*y**2.\nAnswer: y**2*(y - 24)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 36, 0 in ascending order.\nAnswer: 0, 5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 286 + -2572\/9. Let f = 0.75 + -0.9. Let k = 5.15 + f. Which is the nearest to 0.2? (a) 1 (b) x (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/600 and 0\/16 + (-327)\/(-1980)?\nAnswer: 6600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/((l**(-4\/9)*l)\/l)*l)\/(l**(-2\/9)\/l))\/(l**(2\/19)\/l**(2\/25)) assuming l is positive.\nAnswer: l**(5189\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p + 0*p + (-1 + 2 - 2)*(4*p + p - 3*p))*(2*p**4 + 7*p**4 - 4*p**4).\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 14) in base 16?\nAnswer: 1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/6)\/(2802\/(-147105))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1943 - 2.67\nAnswer: 1940.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 2464926.\nAnswer: 246492.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 34 = -11. What are the prime factors of h?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/240 and (213\/105)\/(1224\/(-119)).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -124955.\nAnswer: -499820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*b + 419 - 419 in the form s*b + z and give s.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 11:20 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/155 - 479\/1085. Let v be (-7)\/(196\/21)*(-4 - 0). What is the biggest value in 8, 0.2, r, v?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 8*a - 8. Let s be z(6). Suppose 0*f - 4*m = -f + 22, -7 = s*f + 3*m. Suppose -f*t + t + 2 = 0. Solve 3*b + h = b - 11, b - t*h = -3 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39514 is divided by 12384.\nAnswer: 2362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/3202 - 11219\/38424. What is the common denominator of k and -32\/11?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.1 (b) -4\/49 (c) 891 (d) -3 (e) -2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3\/5, -524, -2\/9, 1\/2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -35140190 != -35140193?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128709?\nAnswer: 3, 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -31103 (base 4) in base 5?\nAnswer: -11401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 27 + -416?\nAnswer: -3ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*j + 110*j - 1452 = 0. Let y = j + -363. Solve 37*q - 39*q - 8 = y for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 12*z**2 + 126*z - 1754. Let x be m(17). Which is smaller: -1047 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b**2 - 3*b**2 + 4*b**2)*(-13*b + 2*b + 2*b) - 3*b**3 + 5*b**3 + 0*b**3.\nAnswer: 20*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1325034 divided by -2\nAnswer: 662517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from {d: 2, u: 1, p: 1, v: 1, m: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (11 - -1)*(0 + 3). What is the highest common divisor of 288 and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 389.323nm?\nAnswer: 0.000000389323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3*f + 3)*(277 - 202 - 216 - f)*(f**2 + 0*f**2 + 4*f**2) to the form p*f + c*f**2 + t + l*f**3 + g*f**4 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 474948 and -1754213303?\nAnswer: 1754688251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**2*q + 330*k**2 - 2*k*q**3 + 5*q**3 with respect to q.\nAnswer: k**2 - 6*k*q**2 + 15*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1218\/2842)\/(3\/(-161)). Suppose -g - 21 = 5*n - 5*g, -3*g + 13 = -n. Sort o, -5, n, 1 in increasing order.\nAnswer: o, -5, n, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-100))\/(-52 - (-18095)\/350). Factor -24\/5*v - g*v**2 - 216\/5.\nAnswer: -2*(v + 18)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v + 4*v + 2*v + (-2 + 0 + 1)*(-9*v - 12*v + 5*v) - 31*v + 4*v + 3*v.\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4559983*n. Let j(c) = -5*c. Give j(x(m)).\nAnswer: -22799915*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 AM and 10:42 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 61076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3684271.\nAnswer: 19, 211, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 7:17 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -3*p**3 - 60*p**2 = 0.\nAnswer: -20, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2946, -3041, -3190, -3387, -3626, -3901?\nAnswer: -4206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4*j = 40, 7*o = 28*o + 3*j - j - 2427 + 2464 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 + 5*s**2 - 8*s - 3. Suppose -8 = f - 2. Calculate the remainder when 25 is divided by g(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -3147457.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -23348\/489 at least -48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 5423 and -172350015.\nAnswer: -172344592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2457\/5 - -491. Let n = -4.073 - -0.073. What is the closest to -1 in m, n, -1\/10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 168339, 336682, 505025, 673368, 841711, 1010054?\n\"Answer: 168343*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 725293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 4*w**2 + 2*w + 1. Let c be o(-1). Let z be -1 - 0 - (3 - c). Let m be ((-21)\/(-9))\/(z\/(-3)). Solve -5*v - m*g = -3*g, 3*g = 4*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 9 in -2\/7, -1323, -10?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -3*u - 12. What is the tens digit of u\/5 - (-852)\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*a**3 + 116*a**2 - 124*a - 24 = 0.\nAnswer: -1\/6, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2*24\/18. Suppose 2 = l*a + q - 2, -4*a - 3*q = -8. Put -1, a, -8, -4 in descending order.\nAnswer: a, -1, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -22*o**2. Let t(q) = -q + 6 + 2*q - 6. Give s(t(z)).\nAnswer: -22*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -206, -368, -530, -692?\nAnswer: -854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 39*v**2 - 71*v + 49. What are the prime factors of h(35)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/6)\/(13\/2070). Let n = 239 - z. Let h = 5 - 5.4. Sort h, 4, n in increasing order.\nAnswer: h, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 6 - 6 - 2 - 1 + 2 + 0 - 2 + 1 + (3 - 2 + 1)*(0 + 2 - 1))*(y**2 + y**2 + 0*y**2).\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 12, -9*c + 4*c - 575 = -5*x. Suppose 4*f - f + x = 5*a, -5*a - 5*f + 110 = 0. What is the remainder when 88 is divided by a?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764230 rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 172 - (-653 + 691)) + 2 + -20?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-160)\/(-128)*4\/10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 1 o when three letters picked without replacement from ggyxxgoxgbxggbbb.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 90*c**3 - 365*c**2 + 380*c - 20.\nAnswer: 5*(c - 2)**2*(18*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/233810 and 19\/28840.\nAnswer: 6546680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 times -5.3\nAnswer: -3.71","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.24? (a) -5\/2 (b) 1 (c) 2\/9 (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29 - -29.2. Sort k, 16, 0.4 in descending order.\nAnswer: 16, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - f = -33, -6*f + 27 = o - 2*f. Suppose -2*k = -c - 2, -3*k + 4*c + 21 = o*c. Solve -2*u = -2*v, -2*v + 0 = -k*u - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-24) - (-30)\/(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**3 + 5*h**2 - 4*h**2 - 3*h**2)*(-h**2 + 13*h**2 + h**2 + 0 + 0 + 2*h**2 + (4*h**2 - 5*h**2 + 0*h**2)*(-4 - 1 + 4) - 7 + 7 + 4*h**2).\nAnswer: 20*h**5 - 40*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 6:06 AM?\nAnswer: 8:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 654529.6 to the nearest 100.\nAnswer: 654500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -17*t + 5. Let l(h) = -288*h + 84. Let o be 99\/3 - (-6 + 2). Suppose -m + 47 = -o. Let g(q) = m*w(q) - 5*l(q). Let d(v) = -2*v. Calculate g(d(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1516 a factor of 586589225?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 63*h**2. Let t(k) be the first derivative of -k**4\/12 + 9*k**2 + 3. Let v(b) be the second derivative of t(b). What is p(v(s))?\nAnswer: 252*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y - y + 4*y + (2 - 2 + 2)*(-328*y - 149*y + 48*y) + 4*y - 4*y - 2*y + (-4*y + 3*y + 2*y)*(-1 - 1 + 3) - 3*y - 2*y + 3*y - 2*y - y + 2*y.\nAnswer: -860*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/266 and 73\/1881.\nAnswer: 26334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 21.038. Round r to two decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -13539 - -13545. Let z(l) = 8*l**2 - 11*l - 6. Let j(x) = 23*x**2 - 33*x - 17. Calculate f*j(n) - 17*z(n).\nAnswer: 2*n**2 - 11*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296807298 divided by 6.\nAnswer: -49467883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -137 and -403720.\nAnswer: 55309640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 154.5 and -0.375648607.\nAnswer: 154.124351393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:33 PM and 8:18 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r + 340 = 5*g, g + 3*r - 68 = 0. Let b be (-6)\/51 + 416\/g. Solve b*l + 23 = 2*l + 5*i, 0 = 5*l - 5*i + 25 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 4 (b) -139 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 161750707 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48466606.\nAnswer: 2, 19, 1275437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.95 and 29501.\nAnswer: 29501.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in nine tenths of a tonne?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + sqrt(18)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 96, 76, 58, 42, 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 12, h: 3}. Give prob of sequence php.\nAnswer: 66\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - 42 - (4 - (-5 + 1))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3165894 and 65626?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/6)*x\/x**(-1)*x*x*x**(-8)*x*x**(-1\/6)\/x)\/((x\/x**2)**(9\/5)*(x\/(x*x*x*x**0\/x*x))**(5\/9)) assuming x is positive.\nAnswer: x**(-64\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 172695287*y**3 - 139909159.\nAnswer: 518085861*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1851399.6 rounded to the nearest 10000?\nAnswer: -1850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/6*768\/112. Let c(j) = -j**2 + 50*j + 39. Is 39 a factor of c(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -390, -829, -1416?\nAnswer: -2151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -673664 = -54*l - 41594. Does 32 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 22 = -2*i, -2090*r - 8*i - 12 = -1050*r - 1043*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.008 - 0.00767. Round l to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1632 smaller than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**2\/3 + 85592*w\/3 + 3010420.\nAnswer: -4*(w - 21503)*(w + 105)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 744964225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -17039*w - 17036. Determine j(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/5? (a) -43 (b) 2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60*v**4 - 180*v**4 - 2*v + 61*v**4 + 61*v**4 + 1 - 12*v**2 - 37*v**2 to the form j*v + q*v**4 + p + t*v**3 + z*v**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.032893 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence op when two letters picked without replacement from {p: 2, s: 5, o: 1, j: 5, q: 1, l: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25911?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 5*n - 10. Let o be q(-8). Let j(i) = 8*i**2. Let d be j(-1). Let x = o - d. Calculate the lowest common multiple of x and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -20?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 2 = -6*n + 4*n, -2*n = -5*z + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 2004825.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-0.02\nAnswer: -0.004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**2 + 19*y**3 + 211*y**3 - 540*y**3 - 405*y**3 - 7*y**2 in the form u*y + j*y**3 + v*y**2 + x and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 3 + 2)*(43*c**2 - 25*c**2 + 15*c**2).\nAnswer: -165*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -420 + 853. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**4 + 2355*i**3 + 276110*i**2 - 283200*i - 556960.\nAnswer: 5*(i - 2)*(i + 1)*(i + 236)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-eight fifths of a century in years?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1377397132 to the nearest integer?\nAnswer: 1113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 2046?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -13. Suppose o*l + 2 = 14. Solve l - 1 = y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - 1. Let c = -1 - s. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1146 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (-3 + 7) - 24) + 10\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 - -3. Let a(x) = -x**2 - 19*x + 12. Let n(h) = h**2 - 2*h - 4. What is the least common multiple of n(6) and a(l)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnvnnvxnnnxvntnnqnv. Give prob of picking 1 x and 1 v.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 u when two letters picked without replacement from {u: 3, b: 4}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1415338977 to the power of 1\/2, to the nearest integer?\nAnswer: 37621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 (base 11) in base 4?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - -9. Let s be k\/(-3)*(-27)\/(-6). Let z(l) = l**3 - 11*l**2 - 9*l - 12. Calculate the remainder when 45 is divided by z(s).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -40\/114471 and 163\/9954?\nAnswer: 228942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17 + -9. Suppose o = -3*o - w. What is the remainder when 85\/3 + o\/6 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**5\/60 - y**4\/6 - 57*y**2. Suppose -6*l + 9*l = 12. Suppose l*p - 5*r + 16 = 8*p, 2*r - 20 = -5*p. Calculate d(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -301.12615 take away -8.26?\nAnswer: -292.86615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2367654 divided by 6?\nAnswer: 394609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 249075135?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**2 + 10*l - 14. Let r(p) = -39*p + 306. Let n be r(8). Calculate u(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*f + 3. Let b = -1 + f. Let n = b + 16. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-2) - (-8)\/((-4)\/(-1)). Which is the second smallest value? (a) l (b) 1\/4 (c) -5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of w**7\/105 + 2*w**6\/15 + 4*w**5\/5 + 8*w**4\/3 + 16*w**3\/3 + 32*w**2\/5 - 725*w. Factor l(q).\nAnswer: 2*(q + 2)**5\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 1 - 5. Let d = 15 - b. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**15*l)\/(l\/(l**(2\/21)\/l))*l**(-11\/4)\/((l*l**18)\/l))**(-44) assuming l is positive.\nAnswer: l**(4301\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.49656 rounded to two decimal places?\nAnswer: 65.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 5*j**2 + 98*j - 383. Determine y(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t - 1 + 1)*((-6*t + 2*t + 2*t)*(-1 + 0 - 1) - 7 + 7 + t).\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 39326656 * -0.2.\nAnswer: -7865331.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1510 is divided by 108.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-26)\/r)**(-1\/13) assuming r is positive.\nAnswer: r**(27\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 72\/23*m**3 + 54\/23*m + 0 - 108\/23*m**2 - 20\/23*m**4 + 2\/23*m**5.\nAnswer: 2*m*(m - 3)**3*(m - 1)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 9:31 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-6)*l**0*l*l*(l\/l**0)\/((l**(-4\/5)*l)\/l) assuming l is positive.\nAnswer: l**(-11\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 13*x - 60. Solve -8*f - 25 - x = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15)\/(-40)*8 - (-1 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/((-75)\/10))\/1. Solve -6 = -4*s + w for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*(-5)\/(10\/4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 110 = 3*l - 0*j, -2*l - j = -85. Let w(d) = 2*d**2 + 5*d + 4. Let y be w(-3). Solve 5*r + 25 = u, -4*u + l = 2*r - y*r for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1121, -202 in descending order.\nAnswer: 1121, -0.3, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/37 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 302958637?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 170164964 a multiple of 2301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 60467.32 micrometers?\nAnswer: 0.06046732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*p - 6. Suppose 5*c + 0*c - o + 9 = 0, -3*c = p*o - 5. What is the units digit of c + 3 - (-4 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2 + 52274*p - 683142769 = 0. What is p?\nAnswer: 26137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-3)*7\/(273\/65).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38 = -2*g + 42 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k = -25. Let x(j) = -j**3 - 4*j**2 + j - 12. Let s be x(-5). Suppose o - s = k*o. Which is smaller: -2\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4, 2, 30, 7 in descending order.\nAnswer: 30, 7, 4, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hffa when four letters picked without replacement from fjnmhah?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*3 - (4 + -3). Let g = 456 - 452. Let s(d) = 3 - 3 - 5*d + 7*d - g*d. What is s(i)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76637013?\nAnswer: 3, 19, 1344509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - s - 9 = 0, -5*z - 1352*s + 1349*s - 23 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*m - 4*m**2 + 21051*m**3 - m**2 - 21059*m**3 - 2 as n*m**2 + f*m**3 + z*m + s and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2.3. Let h = 2.8 - f. Which is the third smallest value? (a) h (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 2 + 4. Suppose -3*x - 65 = -f*o + 31, o + 3*x = 48. Suppose 0*k - 4*k = -24. Calculate the highest common factor of k and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 18, -4, -46, -114, -214, -352?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2789 - 2771. Let w = -1.1 - -1. Which is the nearest to w? (a) -4\/7 (b) q (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 2:26 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 260*n + 187*n + 14766 = -195*n for n.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -0.3, -2\/3, 1\/6 in increasing order.\nAnswer: -2\/3, -0.3, 1\/6, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 4 = -x, 3*x + x - 13*m + 15 = -10*m for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14290\/233281 + -17\/263. Let t = -21303\/4435 - r. Calculate the common denominator of 50 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1275395404 to the power of 1\/2, to the nearest integer?\nAnswer: 35713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = g - 66. Let k = 18 - g. Find the common denominator of (-6)\/(-2) - (3927\/18)\/k and 19\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - l + 0)*(l**2 - 6*l**2 - 4*l**2) - 28*l**3 + 2158 - 2158.\nAnswer: -19*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + w - 1162369*w**2.\nAnswer: -1162369*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -74027*r - 55274?\nAnswer: -74027","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*z**2 - z**2 - z**2)*(-1 + 0 + 0)*(-1168 + 214 + 10*z + 530) as w + q*z + v*z**3 + n*z**2 and give v.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 1:23 PM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 737*d - 686 = 639*d. Solve 0 = -2*s + d - 19 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*z + 20*z - 10*z.\nAnswer: -10*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 7*j - 4. Suppose -5*w + 25 - 3 = h, -3*w + 22 = 5*h. Suppose 63 = -h*k - 7*k. Let s be c(k). Let y(n) = -n**2 - 4*n + 1. Calculate y(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 5*r + 15. Let w be k(-4). Let x(l) = l**2 + 2*l - 11. Let h be x(w). Solve 25 + 0*p + h*p - 14*p + p**2 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 7*w - 2. Let v be d(-3). Suppose 0*s - 3*s - 1 = n, -5*s = 4*n + 11. Sort v, -3, s.\nAnswer: -3, s, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2847548 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k - 47*k = 165 for k.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -41*d**5\/150 + 43*d**4\/60 - 2*d**3\/15 - 17*d**2. Suppose v(j) = 0. Calculate j.\nAnswer: 2\/41, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 2. Let h = g - 1. Calculate the greatest common factor of h and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -654060715*n**3 + 1332584292*n**2 wrt n?\nAnswer: -3924364290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.2 + 1.29. Let p = 0.089654 - r. What is p rounded to five dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120634139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -4) + -2 + (2 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10 + -15 + 43 - (-5)\/1. Suppose z*q - 250 = 18*q. Let h = 2\/19 - -9\/95. Which is the third smallest value? (a) q (b) h (c) 4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37135 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: Is 5 a factor of 366895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-61 + 3 - 1). Let w = 74 + h. Let b be w\/12*(-18)\/156. Sort -11, 0.5, b, 5 in ascending order.\nAnswer: -11, b, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 1 + (-1 + 4 - 1)*(3 - 2 - 3))*(q**4 - 4*q**4 + 0*q**4) as k*q + a + c*q**4 + w*q**2 + y*q**3 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + 1. Let w = -312 + 314.3. Let x = w + -2.2. Which is the third smallest value? (a) x (b) y (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 506.14 to the nearest ten.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -1.9312876.\nAnswer: 0.0687124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2720.6 - 2721. Let z = 0.4 - 0.2. Which is the nearest to z? (a) 4 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 - 11*l**2 + 8*l - 93. Determine m(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -30*n**3 - 8*n**2 + 14*n - 8. Let j(o) = 20*o**3 + 5*o**2 - 9*o + 5. What is -8*j(x) - 5*v(x)?\nAnswer: -10*x**3 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -280.2 + 280. Let r = -436\/259 - -20\/37. Which is greater: o or r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -297*q - 49682. What is f(-161)?\nAnswer: -1865","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ca - 46?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105598330 is divided by 35199440?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -566 + 475. Let l = y - -91.001192. Round l to 4 decimal places.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 170074*d - 170079*d - 4 + 4.\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/1)\/9*(-18)\/(306\/(-17))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 times -198?\nAnswer: -8.118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 288 is divided by 287?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 19755800 to the nearest 100000.\nAnswer: 19800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 284691954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -7*i - 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 5*j + 33162 + 287888, 3*l - 128403 = 2*j. Let s = -35822 - j. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -595, -879, -1153, -1411, -1647, -1855?\nAnswer: -2029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14331 is divided by 14228.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 120 and -60.\nAnswer: -7200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + -1.1. Let s = 54 - 52. Which is the closest to 2? (a) h (b) -5\/2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-5))\/(2\/5). Let k(i) = -i**2 + 11*i + 10. Is 4 a factor of k(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3935*j = -4467 - 3403. Let -1\/5*i**j + 4 - 19\/5*i = 0. What is i?\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39440.5 rounded to the nearest one hundred?\nAnswer: 39400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40 and 6550?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/422 and 77\/12027.\nAnswer: 24054","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sevenths of a week in days?\nAnswer: 17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 51952 + 65771 + 76271 = 0. Is 84 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32828 is divided by 2505.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10 by 4302167.\nAnswer: 10\/4302167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -8. Let l(x) = -2*x**2 - 8 + j*x + 2 + x**2. Let c be 1\/(-2)*(-5 - 3). What is l(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 + 0. Let o = 86 + -685\/8. Which is bigger: v or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 11993717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 571555.\nAnswer: 5, 114311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**3 + 2*m + 6. Let a be i(4). Suppose 6*z - a = -84. Which is bigger: 3\/64 or z?\nAnswer: 3\/64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 12245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/5 (b) 2\/9 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2925*h - 2922*h - 38 = 0, -4*h = -4*p - 36 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -127, -118, -97, -58, 5, 98, 227, 398?\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 19\/((-1064)\/(-32)) + (-103)\/21. Is b at least -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 2*d**2 - 129*d + 122. Calculate a(64).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9109880?\nAnswer: 2, 5, 13, 17519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154*a**2 + 83 + 11*a**2 + a**2 - 172*a**2 + 9*a**2.\nAnswer: 3*a**2 + 83","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 67664?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1879*o + 1883*o + b = 566, -o + 2*b = -146. Solve 4*v = 4*u - 4, -3*v - o*u + 140*u + 22 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 + 3060*z**2 - 6010*z**2 + 2952*z**2.\nAnswer: 4*z**3 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -196, -302, -408, -514?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15.58 - -15.58. Let d be (-6)\/(-21) - (-80)\/14. Let y = 10 - d. Which is the nearest to t? (a) -0.2 (b) 0.3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 688440 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-6 - 12 - -42).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*o - 4. Let w(v) = -1. Let i(f) = f + 6. Let n(c) = -i(c) - 3*w(c). Calculate n(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500)*1 + -1 + 1 + (sqrt(500) - (-1*sqrt(500) - sqrt(500))))**2.\nAnswer: 8000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*y + 784 = -69*y + 17*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -125*m - 5193. Calculate a(-38).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-310)\/(-50) + -5)*30. Solve 0 = k*i + 74 - 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f - 32. Let h(g) be the second derivative of -5*g**4\/12 - 18*g + 4. Give h(j(k)).\nAnswer: -45*k**2 + 960*k - 5120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 bigger than 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 3 + 8)*(-2*d**2 - 3 + 3) - 1 + 2*d**2 + 1)*(2 - 4 + 3 - 2*d)*(3*d - 4*d + 0*d) to p + q*d**2 + t*d**4 + b*d + w*d**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2780942 >= 2780944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005531393474 to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1133 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 124, -2\/17, -0.03, -1, 0.5, -2 in ascending order.\nAnswer: -2, -1, -2\/17, -0.03, 0.5, 124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69673943207 - 69673943207 + 9*r**3.\nAnswer: 9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 8*z**2 - 4*z - 1. Calculate the smallest common multiple of l(7) and (10\/(-6))\/(1\/(-18)).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -8*l**3 - 7*l**2 + 10*l + 3. Let q(f) = 7*f**3 + 6*f**2 - 9*f - 3. Let u be (2\/(-3))\/(298\/(-3129)). Calculate u*q(o) + 6*t(o).\nAnswer: o**3 - 3*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1216600 divided by 2\nAnswer: 608300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 50574802 to the power of 1\/2, to the nearest integer?\nAnswer: 7112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = 10*a - 60 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/10*45\/18?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/(-66))\/(21\/7)*3*(-808)\/12.\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 15*d - 13*d. What is the remainder when 223 is divided by d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + 12 + -24 + -4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2904*j - 42. Let x(z) = -2014*z**2. Give l(x(w)).\nAnswer: -5848656*w**2 - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.11727205 rounded to the nearest integer?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2727791?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 123212.2 micrograms in grams?\nAnswer: 0.1232122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1133031 + -1212?\nAnswer: -1200303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -43489 >= -43334?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t = 3*h - 6, -7*h - 106 = -2*h + 11*t - 110 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 44544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o + 10. Let u be t(9). Let s be ((-1)\/(-2))\/(u\/4). Solve 5 = -5*l, -c = -l - 1 - s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/24, -116, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2742*a - 10178*a - 8705*a in the form f + h*a and give h.\nAnswer: -16141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 0. Suppose -15 = -5*v + 2*j, 2*v - j = i*v - 15. Suppose 4*x + 3*t - 57 = 6*t, -v*x = 5*t - 115. Is x a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44604 to the nearest one hundred.\nAnswer: 44600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -26*1763\/(-116272) + (-3)\/8?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1647443, -1647447, -1647449, -1647449, -1647447?\n\"Answer: o**2 - 7*o - 1647437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 990149073 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 337 + -333 - (3 - -32)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -u - 2*p, -9*u - p = -11*u + 12. Solve 5*y + 9 = u*f - 1, 2*y + f = -1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75143.\nAnswer: 163, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 79425\/(-275) + 4\/(-22). Let u = 329 + n. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 28.1, 2.5, 4\/9, 80?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (3 - -11) + (-2 - 11).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 345061481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49 + 14*l + 22 + 28 + (1 + 1 - 1)*(2*l - 2*l + l) to v + k*l and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 159150 and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -190 - (230 + 43 + -230)\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 - 2. Let y = 3 + -5. Let f = y + r. Which is the smallest value? (a) -2\/11 (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 4 = -4*p + 3*p, -a - 4*p = -7. Suppose 0 = d - a*d + 8. Suppose 5 = -5*g + 20, d*s + 5*g = 35. What is the remainder when s is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1*-5)\/(2 - 3). Let v(h) = 8*h - 4. Let l(k) = 9*k - 4. Let w(t) = 3*l(t) - 2*v(t). Let j(n) = -9*n + 3. Let c(f) = -6*j(f) - 5*w(f). Determine c(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + 64*l**2 - 379*l + 2865. Calculate r(-70).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 9:07 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((240\/560)\/(117\/21))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -425, -675, -925, -1175?\nAnswer: -1425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*m + 189 + 731. Solve 6*z - 5*z = -4*k + m, -3 = -3*k + 4*z for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k. Let t be -2 + 74 + 0 + k. Let j = -7 + 16. Calculate the greatest common divisor of j and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 42*h**2 - 1771*h + 297. What is k(68)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.42 - -0.32. What is the fourth smallest value in 6\/11, -3, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3872 - -16984. What are the prime factors of x?\nAnswer: 2, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 - -10. Let s = x + 5.3. Let y = s + 2.700068. What is y rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -3*j**3 - 3*j + 6. Let v(w) = 2*w**3 + 3*w - 5. Let y(u) = 5*r(u) + 6*v(u). What is the second derivative of y(o) wrt o?\nAnswer: -18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -235\/68779 or 1?\nAnswer: -235\/68779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17812 is divided by 3501.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7367292*w**2 + 3508028*w.\nAnswer: 14734584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -99.2263 rounded to zero dps?\nAnswer: -99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/(1\/(-3)). What is the units digit of ((-3)\/(-6))\/(a\/(-16))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 3 + -7 - -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6141?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 3 + 3)*(0 + c + 0)*(-1 + 4 - 2).\nAnswer: -4*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 104*a**2 + a - 1. Let z(w) = -w + 1. Let t(f) = h(f) - 4*z(f). What is the second derivative of t(y) wrt y?\nAnswer: 208","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6789644 is divided by 172?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cgmgfffmffzmzzzzfzf. What is prob of sequence cf?\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a tonne in kilograms?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:26 PM and 1:08 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-1\/4))**(-2\/181)\/((k*k*k*k*k**9)\/(k*k**5*k))*(((k*k*k**(-2)*k*k)\/k)**(1\/4))**(1\/10) assuming k is positive.\nAnswer: k**(-43239\/7240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002195 rounded to 3 decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 6:50 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 + -13. Suppose -4*r = 2*j - r - 59, -j = -l*r + 3. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17\/65 + -6\/13. Let r = -8 - -13. Let c be ((-4)\/14)\/(r\/(-7)). What is the nearest to -0.1 in g, 1, c?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273446.\nAnswer: 2, 47, 2909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-18)*(9 + -3). Let s be -2 - (-9 + 4)*c. Suppose s*a - 4*v - 48 = -v, 3*v = -2*a + 12. Calculate the remainder when a is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -305*s - 4233. Determine b(-14).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.4, -194, 3?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64.1 - 61. Let s = -3.5 + u. What is the second smallest value in 5, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 39*l**3 + 27333*l**2 + 2017086*l - 310968 = 0.\nAnswer: -617, -84, 2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ud when two letters picked without replacement from uuuududuuzuuduu.\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 54\/5 of a meter in millimeters?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 3b38436?\nAnswer: -3b38436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2416925?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -30001 divided by -92\nAnswer: 30001\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**2 - u**2 - 4*u**2 - 8*u**2 + 13*u**2 + 2*u**2 + (3 - 3 + 2*u**2)*(2 - 2 - 1) to l*u**2 + t*u + r and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1470.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/24 - (-1)\/(-4). Suppose -2*k = -4*n + 16, d = -2*k + k - 4. Suppose -2*a + 14 = -3*m, 2*a - 3*m - 22 = -n*a. Solve -2 = -a*x - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -14*q**4\/9 - 48*q**3 + 5212*q**2\/9 + 11056*q + 93874\/9 = 0.\nAnswer: -251\/7, -11, -1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -45034038 < -45034040?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.124 + -14.824. Let b = q + 14.699999602. Round b to 7 dps.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, 3, 85, 5, 97 in increasing order.\nAnswer: -3, 3, 4, 5, 85, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + -2*2\/4. Suppose -3*a + 5*a - 114 = t. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7263 is divided by 2369.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -776 less than -1882.21?\nAnswer: -1106.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611 a multiple of 179?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23372 is divided by 531?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2880.5 + 2881. Let j = -0.7 - -3.7. Which is the third biggest value? (a) -3 (b) 1\/4 (c) v (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/3 + 13 + -2. Suppose -3*n + 4 = z, 6*n + 3*z - t = 2*n. Let l = -547 + 561. Solve 2*c = 10 - 4, -m - 5*c + l = n for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11 + -6. Suppose -q = 2*i + 2, 3*i - 2*q + 3 = -6*q. Put i, -2, o in increasing order.\nAnswer: -2, i, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64115454 to the nearest integer?\nAnswer: 8007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 12:31 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1648.85 + 1132.04. Let o = -527.218 - -7.218. Let x = o - m. Round x to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + 6. Let f = -10 + l. Which is the nearest to 1\/4? (a) f (b) -0.5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, 0.3, 1.01, 0 in descending order.\nAnswer: 1.01, 0.3, 0.08, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 151388.\nAnswer: 2, 37847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/((s*s*s**(-10\/3))\/s)*s\/s**(11\/6)*(s*s**(4\/11)*s)\/(s\/s**6) assuming s is positive.\nAnswer: s**(217\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2221 = -3*f - 470, 4 = 4*h. List the prime factors of f.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.8948888 decades?\nAnswer: 107.386656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**4\/12 - b**3\/2 + 4*b - 1. Let u(o) be the first derivative of z(o). Find the second derivative of u(s) wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7787*b - 72 = -7796*b. Solve 11*v = b*v + 2*l + 2, 3*l + 3 = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -2a7?\nAnswer: -2ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - y - 14 = -4*y, x = 3*y - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.3 + -5. Let d = 1 - 0.8. What is the closest to 1\/2 in 0, l, d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the first derivative of 9*q**4\/2 + 80*q**3\/3 + 9. What is the third derivative of z(v) wrt v?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 60*v + 132 - 57 - 10*v + 20*v as j + a*v and give j.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -305*k**5 - 4265*k**4 + 72965*k**3 - 45115*k**2 - 877680*k + 14400 = 0.\nAnswer: -24, -3, 1\/61, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**3 - 5*d**2 - 65*d + 41. Let b be y(19). Let z = -5050 + b. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1591268319245 and 0.034.\nAnswer: -1591268319244.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/6*(0 + 2 + -20). Let f(q) = 50 - 95 - 2*q**2 + o. Let x(i) = -3*i - 2. Determine x(f(r)).\nAnswer: 6*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, a: 2, h: 7}. Give prob of picking 1 e and 2 h.\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -17*u**2 + 785*u - 929. Give c(46).\nAnswer: -791","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from keudy. What is prob of sequence dy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -5*u - 26 + 23, 12 = -4*u for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**3\/3 + 9*x**2\/2 - 6*x - 1. Let g(w) = 3*w - 7. Let d be g(5). List the prime factors of j(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506440 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together -175882485.3 and 1650.\nAnswer: -175880835.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(500) + 0 - sqrt(500))*-6 - sqrt(500)) + -2)*2*-6)**2.\nAnswer: 51840*sqrt(5) + 653184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -64734, -128198, -191662?\nAnswer: -255126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 3*p + 5 = 0, -27*t + 5*p - 29 = -29*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + (-3)\/5)*10\/18. Let r(v) be the third derivative of 0*v + 0 + q*v**3 + 1\/24*v**4 + 13*v**2. Determine r(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 49256939 to the nearest integer?\nAnswer: 367","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1292.635*4.\nAnswer: -5170.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14871344?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/12 + (-13)\/(-3). Let o be (-6)\/(-9)*(-9)\/(-6). Sort f, o, 0.\nAnswer: 0, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 8 + 1)*(-3 + 2 + 0)*((t - t + 2*t)*(3 - 7 + 2) - t + t - 7*t + (-2*t + 0 + 0)*(6 - 3 - 2)) as a + f*t and give f.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + x**2 + x - 2. Calculate o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739758.\nAnswer: 2, 3, 139, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11362 and 14729104.\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 92*m - 89*m - 30, 5*v = 3*m + 10. Suppose 5*c + 3*u = 1305, -4*c + v*u + 173 + 908 = 0. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736 a factor of 36417311?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -501 = -75*g - 121*g + 29*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -250003.15433 + 250002. Let i = h - -1.0736. Let d = i - -0.08. Round d to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(-157 + 157 - 100*i)*(-4 + 0*i**3 - 6*i - 2*i**3 + 6).\nAnswer: 200*i**4 + 600*i**2 - 200*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 31301600 to the nearest 1000000.\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45\/47 or -2?\nAnswer: -45\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 1.2, 41, 3, 0.4 in ascending order.\nAnswer: -1, 0.4, 1.2, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6e7 + -62?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t**5 - 1332*t**4 + 21576*t**3 + 26641360*t**2 - 26661600*t = 0. Calculate t.\nAnswer: -230, 0, 1, 126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**2. Let h(n) = -390095547*n. Calculate s(h(v)).\nAnswer: 152174535789229209*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven halves of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 4516025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v + 56 = -2*v. Calculate the greatest common divisor of v and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 3*j**2 - j - 7. Give x(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*a**2 - 28 - a + 30 - 5*a**2)*(-2 + 2 - 3)*(-3 + 0 + 2).\nAnswer: 3*a**2 - 3*a + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2028157187.\nAnswer: 7, 89, 465067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**5\/5 + 28776*t**4\/5 + 6*t**3\/5 - 86332*t**2\/5 + 57552*t\/5 = 0?\nAnswer: -2, 0, 1, 14388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/((5\/60)\/1). Let w be -5 + 90\/y - (-5)\/(-10). Determine g so that 6\/19*g + 2\/19 + 4\/19*g**w = 0.\nAnswer: -1, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 306 and 30?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 279454?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.1 (b) 0.04 (c) -342 (d) 4 (e) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.9 - -3.1. Let f = v - 11. Let s = 45.1 - 45. Which is the second biggest value? (a) f (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/124 and -3\/5896.\nAnswer: 182776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 - q + 9. Calculate w(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -228*t**4 - 74*t**3 + 16*t**2 + 97396*t?\nAnswer: -2736*t**2 - 444*t + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -6, 14, 92, 258, 542, 974, 1584?\n\"Answer: 5*g**3 - g**2 - 12*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 43, 46, 49?\n\"Answer: 3*i + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -33 in 5, -40\/7, -581?\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 2*j**2 - j - 2. Let h be k(3). Let g be -1 + -1 + 17 + -17 + 6. List the prime factors of h\/(g\/3) - 176\/(-2).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 1:32 AM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2022 (base 4) to base 16.\nAnswer: 8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1078, 1705, 2332, 2959, 3586, 4213?\n\"Answer: 627*h + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -105244.7 rounded to the nearest 1000?\nAnswer: -105000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-120)\/210*(-28)\/40*(-405)\/(-12).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, 3\/8, -2\/3 in decreasing order.\nAnswer: 3\/8, -0.6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 2284?\nAnswer: 11420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from amamamlmdbbaaam. Give prob of sequence dlb.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**5 + 9*j + 2*j**3 - 10*j**3 + 2*j**2 - 6*j**4 + j**5 - 2*j**5 + 4.\nAnswer: -(j - 1)*(j + 1)**3*(j + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3931 by 2.\nAnswer: -3931\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-2)*d)\/((d*d**(14\/9))\/d))**(7\/2) assuming d is positive.\nAnswer: d**(-161\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -27, -45, -55, -51, -27, 23, 105?\n\"Answer: i**3 - 2*i**2 - 19*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = h - 2, -4*h - 5 = -r + 7. Let i(m) = -m**2 - 10*m - 8. Let o be i(-6). Solve 4*y - 3*f - 2 = 0, -f - r*f = 3*y - o for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -823 and -34727.\nAnswer: 28580321","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(18\/4 + -3). Find the second derivative of 4*h + 3*h - l*h - 3*h**2 - 5*h wrt h.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, f: 4}. What is prob of picking 2 a and 2 f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*v + 12 - 63 - 23.\nAnswer: 4*v - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 15 + (-5 - -2). Let u be 32\/6 + (-4)\/b. Let h(l) = -4 + 4 - 4*l + u*l. Determine h(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o + 10 = 0. What is the remainder when (-6)\/(-51) - 472\/(-34) is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + -7. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -908.7 - -1.75.\nAnswer: -906.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the third derivative of -r**3\/2 - r**2. Let m(y) = -8*y + 10*y - y. Determine j(k) - m(k).\nAnswer: -k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 0*o + 3*o)*(0 + 6 - 2 - o).\nAnswer: o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -10*a + 10. Let y be d(12). Let l = 116 + y. Suppose 13*q = l*q + 35. Sort 0, -8, q in increasing order.\nAnswer: -8, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -200 - -3799\/19. What is the closest to 0.1 in z, 2, 0.01, 3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3891 or -0.05057?\nAnswer: -3891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/2770902 and -71\/690.\nAnswer: 13854510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13146686 and 2996?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7237 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from czscccccgsggcczpgpcl. What is prob of sequence sz?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60500 and 450?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/62151288 and -97\/2.\nAnswer: 62151288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/14? (a) 1\/33 (b) 2.056 (c) 5 (d) -0.1 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 2) to base 10\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -260 + 5?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(8)\/sqrt(4) - (0 + 1*sqrt(2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/13, 7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 e when three letters picked without replacement from ettmlmett.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 5 - 4)*(3*n - 3 + 3)*(0*n**2 - 4*n**2 + n**2) to the form b + u*n**3 + z*n + a*n**2 and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f*f\/((f*(f**(-2\/7)*f)\/f)\/f*f))\/f*f)**(-42))**(-13\/6) assuming f is positive.\nAnswer: f**208","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 5*t + 3*s + 5 = 0, 17 = 4*t - 3*s. Solve -2*w + 10 = 5*j, 0 = -t*w - 0*w - 3*j + 10 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - -10*(1 + 6\/(-12)). Put 5, -5, g in descending order.\nAnswer: g, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 10:06 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/24378 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t = 16*t, -o + 0*o - 3*t = -2*o + 4*t + 33 for o.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12029726, -24059453, -36089180?\n\"Answer: -12029727*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -1085013.9?\nAnswer: 3255041.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -76*j + 7146. Calculate y(77).\nAnswer: 1294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2093056?\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2196, 2203, 2222, 2259, 2320?\n\"Answer: n**3 + 2195","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l + 5*u = -26*l + 4799995, 2*l + 1919995 = 5*u. What is l rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.7 and -2016.\nAnswer: -1411.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -37 - de2a?\nAnswer: -de61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8373 and 8816769?\nAnswer: 8816769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.3, -4909, -4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*h - 18*x - 58 + 203 + 175 = 2*x, -2*h - 2*x + 32 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6 = -c. Suppose -c*d + 5*d - 177 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/2405 and 54\/154037.\nAnswer: 28496845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t. Let i be (29\/((-1160)\/(-48)))\/((-6)\/(-10)). Let b(u) = 8*u**i - 8*u**2 + 5*u**2. Give b(l(d)).\nAnswer: 245*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 275, -28, -4, -128?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 37653 to the power of 1\/2, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 5*t**5\/4 - 205*t**4\/4 - 15*t**3\/4 + 625*t**2\/4 - 205*t\/2 = 0.\nAnswer: -2, 0, 1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, 3, 5, -4, -1 in decreasing order.\nAnswer: 47, 5, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2339*p - 2306*p - 66. Solve -7 - 5 = 2*f + 5*l, 2*l = 2*f - p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - -5. Let r be (-32)\/3 - (-4)\/h. Let d be 73000004\/10 - (-4)\/r. What is d rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/(-24))\/(28\/(-6)). Let v be ((-21)\/(-12))\/((-3)\/12). Let u(j) = -3*j - 22. Let l be u(v). What is the nearest to l in -2\/7, -1.5, i?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*o**4 + 7*o**4 - o - 12*o**2 + 0*o**2 - 5*o**3 + 34*o**4 to the form d*o**2 + t*o**4 + k + c*o**3 + h*o and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(4*sqrt(768)) + -4 + (sqrt(364)\/(-1*sqrt(448)))**2.\nAnswer: -51\/16 + sqrt(13)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 6252072?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 147179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6032 = 77717*c - 77821*c for c.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 6:18 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.05 (b) -4.85 (c) -1\/6 (d) -8 (e) 1 (f) 1\/5 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011 (base 2) to base 8.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 36576383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 9*d**2 - 3*d - 9. Let c be n(9). Let a = c + 41. Suppose a*j - 84 - 591 = 0. Does 27 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 136\/(-32) + (-3)\/(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2077\/5 (b) -90 (c) -1\/5 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 1.624716311.\nAnswer: 1.124716311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 3746727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 2 + 3)*(-4*o**4 + 4*o**4 - o**4)*(-58 + 35 - 12) to the form p*o + x*o**3 + k*o**2 + y + j*o**4 and give j.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x + 1. What is h(-8)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 10:47 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 - -64. Suppose 24*z - m = 26*z. Let k(f) = -9*f**2 + 3*f + 2. Let g(c) = 5*c**2 - 2*c - 1. Calculate z*k(n) - 5*g(n).\nAnswer: 2*n**2 + n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.95 - -0.05. Let r = v + -2. Let q = -5 + 4. Which is the closest to q? (a) r (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 6:32 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 103082028 and 504?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -14185, -28366, -42545, -56722, -70897, -85070?\n\"Answer: t**2 - 14184*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 50, -2\/21, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-33) + -6 + 1 + (-175)\/(-55).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1520 + 2779. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zol when three letters picked without replacement from {l: 1, o: 11, z: 1}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 + 6*z**3 + 4 - 4.\nAnswer: 9*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -45.16 - -47. Let u = h - 0.81. Round u to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 9:30 PM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 527 - 2597\/5. Let c = -147\/20 + p. Factor -c*y**2 + 0 + 1\/4*y.\nAnswer: -y*(y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lluullluvcuuudlcul. Give prob of picking 2 u and 1 d.\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59859392?\nAnswer: 2, 935303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, l: 8}. Give prob of sequence kk.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -9. Let b(h) = -h**2 + 4*h + 5. Let o be b(5). What is the second biggest value in 0.1, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6*3\/(-30))\/((-63)\/(-525)). Suppose 3*v - 4*t - 1260 = 1132, z*t = 10. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35402*m - 35404*m = 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1024 + 3?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*f - 35*f = 0. Let y = 31 - 15. Differentiate 0*q**2 + f*q**2 + y + 14*q**3 - 32 with respect to q.\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -4*d - 74, -3*d = d + 4. Suppose -4*k = -h + 2. Solve -3*l + 0*l = k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9255036 by -6.\nAnswer: -1542506","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5250375 and 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47 - 49 = -48*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-15) + (1 - 36\/60). Let v(i) = 2*i + 12. Let b be v(-6). What is the closest to b in -0.3, -0.5, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -154 - -236. List the prime factors of i.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872382043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**2 + r + 5. Let p(a) be the third derivative of 0 - 2\/3*a**3 + 0*a + 3*a**2. Suppose -7*u + 3*u - 12 = 0. Calculate u*p(m) - 2*o(m).\nAnswer: -2*m**2 - 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(44 - -4))\/(3\/8)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*p + 1094285 = 0, 49*z + 2735750 = 54*z - 5*p. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/198 and -25\/1557.\nAnswer: 34254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 - (-1)\/(1\/19). Let z = 112 - 127. Let h = c + z. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seventy-five halves of a kilogram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 1) + (3 - 8) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -282741080*b**2 + 254777611 wrt b?\nAnswer: -565482160*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 7:12 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of r**7\/2520 - 89*r**4\/12 - r**2 + 69. Let b(l) be the second derivative of f(l). Let x(w) = -2*w + 2. Calculate x(b(n)).\nAnswer: -2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x + x + q - 4 = -4*q, 0 = 3*q + 20 - 8 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8065 and 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 115406 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 5*c - 245, -2*t - 2*c - 189 = t. Let r = t - -24. Let y = 66 + r. Solve -5*s = -5 + y for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ziqgd. Give prob of picking 2 q and 1 g.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 2 = y, 3*m + 16 = -3*y - m for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18115 - 5263. List the prime factors of m.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -24*k + 726. Is u(9) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -145? (a) -2 (b) -68 (c) 135 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 2*w**2. Let i be (-9)\/(378\/(-24)) - (-255)\/7. Let k(v) = i - v + 61 - 98. Give k(g(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from {d: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-5)*i)\/((i*i**(-4)*i)\/i))\/(i**1)**(-4\/13))\/(((i*i\/(i**(6\/7)*i))\/i*i)\/(i**(-3\/2)\/i))**(-1\/46) assuming i is positive.\nAnswer: i**(-5315\/8372)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 9:34 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4 (b) -0.12 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 1. Let m(k) = -k + 3. Let d(z) = -m(z) + 3*n(z). Let f be d(6). Find the third derivative of -3*b**6 + 2*b**f + 2*b**2 + 0*b**2 wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*a - 308 + 308)*(1 - 2 + 5)*(-11*a - 2*a + 22*a) as o*a + i + v*a**2 and give v.\nAnswer: 720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-30))\/(26\/39)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1210000122 (base 3) to base 16\nAnswer: 88c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 = 4*w + 18. Suppose 2*h + 4*o = -h + 14, 4*h = -o + 36. 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 n(t) be the second derivative of t**3\/6 - 9*t**2\/2 + 103*t + 2. Give n(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -3. Suppose 3*k = 3*r - 3, 0 = -4*r - 0*k - 4*k + 12. Calculate the lowest common multiple of r and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3 = 5*x + 1, -37*x - 5*o = -10 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 2\/51 (c) -71 (d) 0.1 (e) 2\/13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:35 PM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9744.69 rounded to the nearest one hundred?\nAnswer: 9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 14 = -2*b + 5*f, 8 = 2*f. Let u = b + 3. Suppose y = q + 6 - 3, -5*q - 11 = -3*y. Sort 1, u, y in descending order.\nAnswer: u, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06687382 - -47.93263618. Let u = 87 + -39. Let f = y - u. Round f to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 24 = -5*z, 2*r - 4*z = -2*r. Suppose -5*w - 56 = 5*b - 236, w = r. Is 10 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 114329*s**2. Let g(f) = 3279*f**2. What is i(g(n))?\nAnswer: 1229247229689*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -823*r**3 - 4*r**2 - 16*r - 4. Is j(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 129445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 170\/51 - 2\/(-6)) + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.08 + -2.08. Let z = 2.1 - 2. Which is the closest to -0.1? (a) g (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/7 (b) 0.321 (c) 81\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 16\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13746 + -1250934\/91. Let x = n - -5\/13. Let w = x - 3\/28. Is w less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*q - 2 = 0, -q - 4*q - 8 = 3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*c**2 + 43 - 20 + c - 18 + (c + 2*c - 4*c)*(-1 - 2*c + 1).\nAnswer: 6*c**2 + c + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 + -27.4. What is the closest to 0.2 in x, 3\/7, -4, -0.3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 21 = 3*q, 49*q = -3*v + 48*q + 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2950 + 5088. Let g be (-1 - -3)\/((-4)\/(-2702)). Let p = f - g. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 59.2 - 59. Which is the nearest to l? (a) -1 (b) 1 (c) 0.06 (d) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204480 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: Put -493, 887, -3, -2 in descending order.\nAnswer: 887, -2, -3, -493","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.08 and 1.0608337842922.\nAnswer: 1.1408337842922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1660*a*l**4 + 4*a*l**3 + a*l - 12*a - 5*l**2 - 9*l wrt l?\nAnswer: 39840*a*l + 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-15))\/(-2) - 4048\/880\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1022 + 864*r**4 - 100*r**4 + 647 wrt r.\nAnswer: 3056*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 26 = -4*i. What is the remainder when 101 is divided by i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54110319 * 0.5\nAnswer: 27055159.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -25*a**3 + 457305*a**2 - 42856760*a + 8553060 = 0.\nAnswer: 1\/5, 94, 18198","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -3294?\nAnswer: -3289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 81.8625 meters in micrometers?\nAnswer: 81862500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*o - 4. Let l = 6 - o. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75098*k**4 - k**2 + 50*k + 29 wrt k.\nAnswer: 1802352*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes after 1:36 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/((-12)\/(-5))*(-72)\/20. Sort 2, 5, 3, u.\nAnswer: u, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -4. Solve 2*y - 1 - t = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 10*i*m**2*p - 64*i*m**2 - 2*i*m*p + 111*i*p + 2*i - 2*m**2 wrt p.\nAnswer: 10*i*m**2 - 2*i*m + 111*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 19. Suppose 0 = 2*f + 2*u - 22, -48 = -f - o*f - 3*u. List the prime factors of f.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(-2*g + 0*g + g) - 2*g - g + 2*g - 3 - 4*g + 3.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 9*d + 5. Let o(r) = r - 1. Let b be o(0). Let p be b + ((-6)\/2 - -14). What is the units digit of s(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 - -35375?\nAnswer: 35431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13918924*f**3 - 8*f - 170992 wrt f.\nAnswer: 83513544*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 2:45 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a meter in millimeters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*a**2 + 10*a - 10*a - 181*a**2.\nAnswer: -248*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 372209270?\nAnswer: 2, 5, 37, 1005971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 3:57 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21625 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*c - 3*c - 15, 5*c + 10 = 0. Let o be (-2)\/1 - (-5 + b). Is 130 - (4 - (o - -3)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 3*g + 101 = 111, 4*s + g = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -138*b - 63. Is h(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194377*l**5 + 2*l**3 - 2*l**2 + 4*l + 6677 wrt l?\nAnswer: 11662620*l**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(0 - u + 0) - 1 + 1 + 3*u + (-1 + 3 - 1)*(-u + 6*u - 4*u)*(24 + 6 + 3).\nAnswer: 34*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nyjq when four letters picked without replacement from jjyqjnyjjyqn.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 18. Let r = 59.7 + -60. What is the biggest value in 0.1, v, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6 + 4*j**4 - 27*j**4 - 12 - 15 with respect to j.\nAnswer: -92*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 + 96. Let y(u) = -5*u**2 + 7*u + 7. Let v be y(6). Let q = 133 + v. Solve q*z = -2*z + j + 15, z + x*j + 12 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -25.1. Let o = 3 - 2. Let q = j - o. Which is the closest to q? (a) -1 (b) 2\/15 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 863*b**4 + 4026*b**3 - 176*b + 16071?\nAnswer: 10356*b**2 + 24156*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 + 17. Let b(y) = y**2 - y. Let j be b(2). Let z be (-3 + j)\/((-2)\/1). What is the closest to z in 0.3, -5, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 17*c**5 + 190*c**3 - 30*c + 3*c**5 + 115*c**4 + 483*c**2 - 418*c**2 = 0.\nAnswer: -3, -2, -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37*c**2*q + 75444033*c**2 - 126143*q**2 - 6*q wrt q?\nAnswer: -37*c**2 - 252286*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 31 = 3*m, -5*m - 2*s = -6*s + 41. Let p = m - -7. Find the third derivative of -y**4 - y**p + 5*y**4 - 3*y**2 wrt y.\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 - -101?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7894.819um?\nAnswer: 7894819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.996661 days in seconds?\nAnswer: 431711.5104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x - 59. What is g(17)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 10:56 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -47 + 255*j - 20*j**2 - 64*j**2 + 79*j**2 + 3286 - 189.\nAnswer: -5*(j - 61)*(j + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*u + 10*u + 144 - 18.\nAnswer: 6*u + 126","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/4 and -563 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*t + 6. What are the prime factors of (-62)\/t - 2\/6?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 7*k - 3144998 = 4*k - 1154204, 0 = -4*k. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22\/15953 or -1?\nAnswer: 22\/15953","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1594618, 0.3 in decreasing order.\nAnswer: 4, 0.3, 0.1594618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 195*n**2 - 6*n - 1. Let t(d) = 65*d**2 - 2*d. Let x(o) = 4*i(o) - 11*t(o). Is x(2) a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*d**5 + 1059*d**4 - 8511*d**3 - 291*d**2 + 8544*d - 768 = 0. Calculate d.\nAnswer: -1, 1\/11, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -905\/631 bigger than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 790\/474 - (32\/(-10))\/((-6)\/(-160)). Solve -j*s + 83*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015345749 rounded to five dps?\nAnswer: -0.00153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -75, 0, 2, -4 in descending order.\nAnswer: 4, 2, 0, -4, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6 + 2 - -6) + 0. Suppose 3*n - 3*t = 72, -n - t = l*n - 72. Calculate the smallest common multiple of n and 96.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 6*x - 35. Is r(10) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.28962 hours to nanoseconds.\nAnswer: 127042632000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*k + k - 3*k + 1 + (8*k + 16*k - 4*k)*(1 + 1 - 1) + 3*k + 21*k - 2*k - 2 + 2 + k)*(3 - 3 + k) as a*k**2 + y + c*k and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-3\/19)*k)\/k)\/k**(-9))\/(k**(-17))**(-23) assuming k is positive.\nAnswer: k**(-7242\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1ee14e - -4?\nAnswer: -1ee14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/6 + 8729*o + 52372\/3.\nAnswer: (o + 2)*(o + 52372)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15189\/11 - -1381. Sort 6, 5, s, -0.2 in increasing order.\nAnswer: -0.2, s, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from juhkhk?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 213*h**5 + 92*h**4 - 102747*h**2 wrt h?\nAnswer: 12780*h**2 + 2208*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 2*x**2 - x - 45. Determine v(0).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4119 or -3816?\nAnswer: -3816","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18310*l**4 + 226305*l**2 wrt l.\nAnswer: -439440*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*g - 3824 = -8904 - 6542 for g.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182347407*h*i**5 + 509*h*i - 265107*h wrt i.\nAnswer: 3646948140*h*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 102 - 102. Solve -3*l + 5 - 2 = -m, z = 5*m + 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 13 - 5*p + p + 3*p + 0*p. Let a be j(0). Suppose -t - a = -2*t. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 2*s - d = 11, -d - 1 = 0. Let h = s - 9. What is the closest to 0.03 in 2\/9, h, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7118786219 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1616925458.\nAnswer: 2, 71, 11386799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*a**3 - 338*a**2 + 27*a - 4656691 wrt a.\nAnswer: 21*a**2 - 676*a + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67 - -62) + (4 - 8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -70 + 124. Is 27 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uouuouo. Give prob of picking 1 o and 1 u.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43856308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Multiply -7529 and -0.14.\nAnswer: 1054.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*o**2 - 30*o**2 - 38*o**2 + o**2 + 0 + 0 + (-o + 3 - 3)*(-4*o + 2*o + 4*o).\nAnswer: -62*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w = 29 - 16. Is w >= -1\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - -4 - (-8 + 10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 15*b**2 - 15*b - 7. Let g be w(16). Calculate the greatest common divisor of 648 and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*d + 190 = -246*d - 4*u + 63, -2*d + 2*u + 22 + 28 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -470\/57, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5*i. Suppose 24*k - 3 = 23*k. Suppose 3*x - 2*x = k. Solve -l + x*l = i for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 122 - -25518?\nAnswer: 2563a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1225 a factor of 3636396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36.3 + -43.3. Let t = -2.06 - -0.06. Let i = t - -2. Which is smaller: w or i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 q when three letters picked without replacement from qgnnbugq?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 n, and 1 z when three letters picked without replacement from zqzzyyqdny?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((28\/(-8))\/(-7))\/(3\/(-24))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -589 times -5?\nAnswer: 2945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 88*z + 526. What is c(-6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6*q**2. Let p(o) = 5*o**2. Let l(h) = 5*p(h) - 4*y(h). Let v = 1 + 2. Let k(b) = -v*b + 4*b + 2*b. Calculate l(k(g)).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 59.057352s in hours?\nAnswer: 0.01640482","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**4*o - 1285*a**3*o**2 - 21*a**2 - 24*a*o**2 wrt a.\nAnswer: 48*a*o - 7710*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of -a**5\/60 - 7*a**4\/24 - 11*a**2. Let d be f(-7). Suppose d = 3*k + 5 + 1. Is k <= -6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8 + 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3320.89 milliseconds in microseconds?\nAnswer: 3320890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 8 + 2 = 0. Suppose -h*f + 376 = f. Suppose 0 = 3*o - 4*s - f, -s = 2*s - 6. Is 28 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-10))\/(-1 + 2)*1. Let s = 26 + -22.7. Let x = 3 - s. Which is the closest to d? (a) x (b) -0.4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 6*n - 1. Let k be y(5). What is the units digit of (16\/(-20))\/(k\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.418 - 0.118. Let i = t - 70.3. Let p = i - -24. Is 1 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vp when two letters picked without replacement from {v: 5, p: 7}.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 29 = 32, 2*v + 3*y = -3. Solve 0 = v*f + 4*g + 16, -27*f - g = -30*f + 4 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1864 divide 24194720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -24, -110, -298, -624, -1124, -1834?\n\"Answer: -6*c**3 - 15*c**2 + c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x**3 + x**2 + x + 1. Suppose 0 = 2*o + 4, 6*t + 2*o + 9 = t. Let j be m(t). Let s = j - -6. What is the greatest common factor of 4 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Let v = 10 - 9.5. Which is the nearest to s? (a) v (b) -0.1 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-5 - 339\/(-69)) + ((-4978015)\/(-115) - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 63 = -5*t, 3*t - 2*q = 291479 - 291508 for t.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -372 - -3346\/9. Which is the biggest value? (a) -0.5 (b) -10 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 810934 and 690.\nAnswer: 12164010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 328854 + -225853. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 199888140?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 12 = -3*d - 0*h, 0 = -5*d + h + 20 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/((c\/c**(-1))\/c))\/c)**(-35)\/(c**11*c*c\/((c*(((c*c**(1\/19)\/c*c)\/c)\/c*c)\/c)\/c)))**28 assuming c is positive.\nAnswer: c**(11200\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5889539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15621.24123us to weeks.\nAnswer: 0.000000025828771875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*u**2 - 12 + 2 + 12*u**2 - 4*u wrt u?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 40 = 2*t. Let m(d) = -87*d. Let h be m(t). Round h to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 3843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3425 * -0.1.\nAnswer: 342.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - h**2 + 10*h + 3. Suppose -20 = -y - 0*y. Calculate the remainder when y is divided by k(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = 103*i - 112*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, i: 4, m: 1, g: 2, r: 1, t: 1}. Give prob of sequence ig.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.8341805 hours?\nAnswer: 3003049.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 183?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/(-8))\/(1\/(-24)). Does 6 divide (q\/5)\/((-6)\/(-40))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 + -2.1. Let g(v) = -v**2 - 8*v - 19. Let h be g(-5). What is the third smallest value in 1, h, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 47 - (-1 + 12)*-1. Solve -k*p - 10 = -68*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -145 + 134. Sort -0.2, 1\/4, b, 0.1 in descending order.\nAnswer: 1\/4, 0.1, -0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 5*l = 18, 5*l = -0*c - 4*c - 19. Which is greater: 1\/63 or c?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in two fifteenths of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-21)*(27\/(-81))\/(4\/(-6))\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + 636\/(-8)*16\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-24 - 1420\/(-60))*(2 - (2 - -9)). Which is the second biggest value? (a) -11\/3 (b) s (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 PM and 5:02 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35.2 - 36. Let k = o + 0.5. Which is the closest to -0.6? (a) k (b) -1 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 490*y = 449*y + 188969. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*h + 16 = 0, 4*l - 14 = -0*h + 2*h. Suppose 0 = -5*g - m + 43, -l*g - 11 = -5*g - m. Solve -5*s - 1 = a, 4*a + 4*s - g = a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -30 (b) -8574 (c) -4 (d) 2\/3 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 - 46*z - 95. Let c(u) = 2026*u + 6126. Let v be c(-3). Give f(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 28*l**3 - 4*l**2 - 7*l - 5. Let c(q) = -139*q**3 + 22*q**2 + 36*q + 27. What is 2*c(h) + 11*t(h)?\nAnswer: 30*h**3 - 5*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nzbnnzwzgzbzzbw. What is prob of picking 1 n, 1 b, and 2 z?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 168*a**2 + 5*a - 772. What is t(168)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-22))\/(-100 + 117796\/1176).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249758881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7172909 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -3*y - 25, 20 = 5*s + y. Suppose -s = -2*o + 3. Let h = 5 + o. Is 4 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029016963 to 4 dps.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 + -6002.19?\nAnswer: -6002.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41 - 45. Let k be 4\/10*(-30)\/a. Suppose -3*i + 2*i = -7. Solve -5*o - k*m + 1 = 4, -2*m = 5*o + i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88*r**5*v**2 - 171*r**3*v**3 - 18*r**2*v**3 - 76*r**2 + 2*r - 3*v**3 wrt r?\nAnswer: 5280*r**2*v**2 - 1026*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320) + sqrt(320) + 1 + -4 - (6*5*sqrt(320) + sqrt(320))) + -2)*-6)**2.\nAnswer: 83520*sqrt(5) + 9689220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.995 and -72648.\nAnswer: -72647.005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 647*a - 51103. Determine s(79).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 154 - 109. Let t = y + -45.0000031. Round t to seven decimal places.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 330 - 19*k**3 + 403 - 3*k**3 + 8*k**3.\nAnswer: -14*k**3 + 733","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (18 - 64 - 50 - 6)*(-q**2 - 3*q**2 + 2*q**2) as u + w*q + s*q**2 and give s.\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -1048*x + 18. Let s(u) = -5238*u + 98. What is 11*l(n) - 2*s(n)?\nAnswer: -1052*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -29 + 19. Let d = 24 + n. Suppose -2*m + 29 = 5*t, 4*m - 4*t - 2 = d. Calculate the highest common divisor of 14 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 310488 and 157233?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12443 - -44?\nAnswer: -12344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (12\/(-8))\/(57\/1976). Let p be l\/(-6)*-18*(-2)\/24. Solve 5*f + p = o + o, 2*o + f + 5 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 563063397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-224)\/3)\/(352\/(-1056)). Is g less than or equal to 225?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 + 151 = -4*u + 5*c, 0 = 2*u + 2*c + 106. Let s = u - -24. Does 27 divide (-4005)\/s + (-3)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -528048 divided by -4\nAnswer: 132012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 18*p, 17*i - 19*i - 4*p = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - a + 8. Suppose 2*l - 3*l - 61 = 0. Let z = a - l. Calculate the remainder when z is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.05195 to 2 decimal places.\nAnswer: 9.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10043826 divided by 1?\nAnswer: -10043826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6124609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*q + 66*q + 259*q - 79*q + 85*q + 118*q.\nAnswer: 501*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -3*n. Suppose 2*u = 7*u - 95. Suppose 0 = -4*t + 1 + u. Let p(d) = 4*d. Give t*h(w) + 3*p(w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 151237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c**3 - 26*c**2 + 153*c - 2. Does 35 divide p(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 28 = 4*q, q - 13 = -t - 0*q. Let b be t\/35 - 183\/(-21). Let p = b - 6. Solve -p*r + 7 = -0*r + 2*d, -9 = -4*r - 3*d for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -326 + 315 - (-7 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 22*y + 6. Let t be (11\/(-2))\/(5\/(-20)). Let b be w(t). Let r = b - -11. What is the highest common factor of 136 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000697007736 rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m - 198 = -21*m. Let p = 54 + m. Is -143 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/((-56)\/740))\/(127\/(61722\/405)).\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -19*v + 135. Calculate i(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 101735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + 3 - 3)*(-2 + 3 - 2) + (175*n + 702*n - 137*n)*(0 + 5 - 2) in the form t*n + j and give t.\nAnswer: 2219","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5 + 416253*x**4 + 14438255601*x**3 - 43318513149*x**2 + 1665048*x + 57758017548 = 0. Calculate x.\nAnswer: -69377, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48 + -36. Differentiate b + 3 + 14 - 9 + 31*a wrt a.\nAnswer: 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + l - 6. Let h be p(-19). Let y = 2063\/6 - h. Calculate the common denominator of y and -113\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 2)*(2 + 0 - 4)*(2 - 2 - s)*(28 - 18 - 35) + (0*s - 2*s + 3*s)*(-3 + 2 + 3).\nAnswer: 252*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2057) + sqrt(2057) + 0)*-1 - sqrt(2057)) + -4 + -3 + (0 + sqrt(2057))*-6 + 3)**2.\nAnswer: 792*sqrt(17) + 166633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usuuusu. What is prob of sequence us?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*h - 2. What is the closest to h in -2\/21, -3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 59*n*s*v**3 - n*s*v**2 - 182*s*v**3 + s*v**2 + 26*s*v wrt n?\nAnswer: 59*s*v**3 - s*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11200101120 (base 3) to base 16\nAnswer: 167eb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 126 - 99. Let h(r) = -10*r + 4. Let z(w) = 69*w - 27. Calculate t*h(u) + 4*z(u).\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1392232674 to the nearest integer?\nAnswer: 37313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-3\/7))\/((f\/(f\/(f**(5\/6)*f)))\/f))**(-1\/37) assuming f is positive.\nAnswer: f**(-25\/1554)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5977\/139*(1\/3)\/(4\/12).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.08, -0.5, 0, -1.4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -401 + 402. Suppose -4*w + 5*q - 7 + 35 = 0, 0 = -w - q - 2. What is the lowest common multiple of b and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -399, -737, -1075, -1413, -1751, -2089?\n\"Answer: -338*i - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 + 2 + 8 + 8 - -32) + -4?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -38*s + 7. Suppose r = 5*w - 2*w + 3, -5*r = 2*w + 2. Is 5 a factor of b(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*g**2*i**2*m**2 + 34*g**2*i**2*m - 1071*g**2*i - g**2*m**2 wrt i?\nAnswer: -8*g**2*m**2 + 68*g**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/27 and 17\/12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -167455*u**3 - 42*u**2 - 107*u wrt u.\nAnswer: -1004730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7486 + -7485.601. What is the third biggest value in m, 1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - 45. Let u(w) = w - 22. Let v be u(s). Which is bigger: -104\/3 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13.8 + -11.8. Which is greater: 70 or l?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 4*a - 28 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -5*o + 4*g, 83*o - 87*o = -3*g + 10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19095 + 40830. Is t a multiple of 161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -157, -333, -515, -703, -897?\nAnswer: -1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n = u + 12*n + 13, 3*u + 5*n = 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, 5357646 in descending order.\nAnswer: 5357646, 8, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 - 1 - (-1)\/(-1). Suppose h = v*h - 5. What is the least common multiple of 5 and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 + 59358*n - 18 - 13.\nAnswer: 59358*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 + 9*o**2 - 9*o - 10. Let a be t(7). Suppose x = a - 7. Calculate the greatest common divisor of 24 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1952 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 0.09 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42, -238, -578, -1050, -1642?\nAnswer: -2342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11304*n**2 + 3064*n - 3. Is o(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72679677?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.11 in 2\/7, 0.4, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 982 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h. Let m be u(1). Let t = 8 + -3. Suppose -t*n + 45 = 4*f, 5 = -5*n + 2*f + 20. What is the highest common factor of n and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339473 to the power of 1\/2, to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hthtznthhnhtttdtt. What is prob of picking 1 n, 1 h, and 1 z?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 23\/((-414)\/4) + (-220)\/(-18). Solve -2*q + x = 261*v - 266*v, 3*q - 8 = 5*v for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/52215 and -109\/70?\nAnswer: 731010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 5) to base 9\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -3*d**4 - 13829388*d**3 - 15937692029961*d**2 - 63750588337920*d - 47812910137344 = 0.\nAnswer: -2304896, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 5) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 4367400 to the nearest 1000000.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 722*l - 744*l = 0. Sort 34, l, -5.\nAnswer: -5, l, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*(-1)\/10*(-10)\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2 = 4. Suppose l*y - 470 = -3*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*q**2 - 2*q**2 + 2*q**2 - q**2 + 0*q**2 - q**2 + (2*q**2 + 0*q + 0*q)*(-2 - 3 + 3) + 3*q**2 - q**2 + 3*q**2 - 2*q**2 + 2*q**2 + 2*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 4, -45, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/2001 and -37\/3475737.\nAnswer: 3475737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -2*h + 137. Suppose -z = 3*w + z - 119, z + h = 3*w. Suppose 4*u + c - 59 = 0, -u - u + w = 3*c. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4405182, 8810416, 13215650, 17620884, 22026118, 26431352?\nAnswer: 30836586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 293\/2472 + 2\/309. Let h = -320 - -641\/2. Which is the closest to -1.3? (a) h (b) -0.5 (c) r (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 41, -3 in ascending order.\nAnswer: -3, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-9) - 2)*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 812812818 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**5*n)**46 assuming n is positive.\nAnswer: n**(-138)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*a**2 - 24*a + 22*a + 6*a**2 in the form d + l*a**2 + z*a and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - c + 5*i - 17 = 0, 3*c + 252 = 76*i + 9*i for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9711 + 2*k - 2*k + k**2 - 33*k**4 + 0*k + 9738 to g*k**4 + d + h*k + z*k**3 + u*k**2 and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 38227 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2\/2 - 54771*y\/2 - 27387.\nAnswer: 3*(y - 18258)*(y + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13817 is divided by 330?\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99)*-2)\/sqrt(9) - sqrt(11)) + (sqrt(44)\/sqrt(4) + 0 - sqrt(11)) + 3)**2 + (sqrt(176)*4 - (sqrt(66)\/sqrt(6) + -1)).\nAnswer: -3*sqrt(11) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jqjvvjqvqjevqjqjv. Give prob of picking 1 v and 1 j.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22.8 (b) 0.5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -15\/2*o**2 - 1\/3*o**3 - 13 + 0*o + 1\/60*o**5 + 1\/12*o**4. Let l(c) be the second derivative of y(c). Give l(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 346561183?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-14))\/((-33)\/693)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*2*sqrt(91)*2*1)\/(((sqrt(490) + sqrt(490)*2)\/sqrt(10))\/(-5*1*sqrt(7))).\nAnswer: 40*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1468125 and 556875?\nAnswer: 16149375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 67013 (base 8) in base 10?\nAnswer: 28171","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 - 1705.9.\nAnswer: -1705.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g. Let j(c) = -c**2 - 6*c. What is -j(u) + 2*x(u)?\nAnswer: u**2 + 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 65405 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 2*h + 5*h + 8 - h.\nAnswer: 7*h + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 4*g**3 - 42*g**2 + 17*g + 4. What is k(10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13873 less than 7008911?\nAnswer: 7008911.13873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 587317 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 418 and 26410?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 2*s - 18, 2*r = -2*s + r + 2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2330398?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 2:45 AM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a = 56. Let v(h) = -11*h - 13. Is v(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*x + 17*n - 13*n, -3*n + 12 = 3*x. Factor -75 - 40 - 74*j + 42 - 3*j**x + 2*j**2.\nAnswer: -(j + 1)*(j + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -2*h**2 + 4*h + 2. Let a be -1*(2\/(-1))\/(4 - 6). Let o be 4*(a + 5\/10). Let d be (-2)\/((o - -4) + (-10)\/4). Give j(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**9*n*(n**(2\/15)*n*n)\/n)**(-1\/73))**(-49) assuming n is positive.\nAnswer: n**(8183\/1095)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 4*w**2 - 3*w**2 - 8 - 4*w**2 - 9*w + 2*w**2. Let f be y(-8). Let d be f\/(-4 + (-15)\/(-3)). What is the closest to -0.1 in -0.5, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -21*m**2 - 27\/4 - 27\/8*m**3 - 279\/8*m = 0.\nAnswer: -3, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 - 18*n**2 - 19*n + 10. Let o be c(10). Suppose -3*r + 4*l - o = 0, 2*l = 4*r - l + 15. What is the closest to -2\/7 in -0.02, -2\/3, r?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 311 = -3*t, 0*x = t + x - 101. List the prime factors of t.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2f - -7ecc?\nAnswer: 7efb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 7*d**2 - 4*d + 1. Let s be (-40)\/6 + (-2)\/6. Is h(s) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -651 + 869. Calculate the remainder when t is divided by 28.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**5 + 72*x**4 + 9980*x**3 + 29488*x**2 + 29334*x + 9752 = 0.\nAnswer: -53, -1, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92389 is divided by 4186?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/8, 15\/2, -10?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 10 = p. Let o = 11 + p. Suppose 0 = 2*b - 11 + 1. Put o, b, 8 in decreasing order.\nAnswer: 8, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*(o\/(o*o**2))\/o*o)*o)**(-37)*o**(-4)\/(o**(-1\/7)*o) assuming o is positive.\nAnswer: o**(-811\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 106*n**2 + 208*n - 1. Let x be u(-104). Which is the closest to x? (a) -10 (b) 0 (c) 0.2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10442811 at least as big as -10442811?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(4455) - -5*4*sqrt(4455) - sqrt(4455)))\/((-5*sqrt(88) - sqrt(88) - sqrt(88))\/sqrt(8) - (sqrt(11) + sqrt(396) + 4*sqrt(396))).\nAnswer: 360*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15099141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 2*r + 5*j = -65, -2*r = -j - 37. Let a be (-52)\/r + (-4)\/10. Does 6 divide 1*-12*(a - -2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6, -4.4, 210, -4, -2.4, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 41*h - 128 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dffk when four letters picked without replacement from fffffdldvdfvbllvk?\nAnswer: 3\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-10))\/(3\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*j - m - 16 = 22*j, 0 = -3*j - 21*m - 141 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 divided by 301?\nAnswer: 11\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5353155761 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -261 at most -262?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w**2 + 3. Let g(x) = -17*x**2 + 5. Let q(u) = -6*g(u) + 10*m(u). Let p(r) = -2*r**2. Determine q(p(l)).\nAnswer: 48*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 13*n**2 + 353*n + 31. Calculate l(-27).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32346\/9584)\/(0 - (3\/12 - 1))?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of -z**4\/8 + 7*z**3\/3 - 21*z**2. Calculate b(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34\/153)\/(2 + -4 + 1)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10368 is divided by 3448?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-4\/3)\/((f*f**(-2\/7))\/f)*f**(-2\/3)\/f*f**3\/f assuming f is positive.\nAnswer: f**(-5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6 - (5 - 423 - -3).\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.132 + -2.29. Let p = g + 0.15799597. Round p to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.04 (c) -32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/5, -11, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 4*s - 40 = -6*s, -30*s - 31 = 5*d - 32*s for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -37. Suppose p = -7 + z. Suppose 0 = p*j + j. Solve -x + j*x = 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, -1, 184 in increasing order.\nAnswer: -5, -2, -1, 184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**5\/120 + r**4\/6 - 4*r**3\/3 - r. Let q(c) be the second derivative of k(c). Give q(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lbed when four letters picked without replacement from dlwbweilldblbe?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 146551879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*l = -53*l - 28. Let d(z) = z**3 + 5*z**2 - 4*z - 6. What is the least common multiple of d(-5) and l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -5\/916, -0.05, 1, -54 in increasing order.\nAnswer: -54, -0.2, -0.05, -5\/916, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -17*u - 24 - 15*u - 18*u**2 + 0*u - 4*u - 3*u**3 = 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 8:08 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3142*v**2 - 5*v + 5. Let i(f) = 279642*f**2 - 446*f + 446. Determine 5*i(t) - 446*p(t).\nAnswer: -3122*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*v + 56*v = -6 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 11 - 5 - 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 9 - 5)*(-3 - 4 + 5)*(g**3 + g**4 - g**3).\nAnswer: 28*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 35 = -6*f. Let v = -28 + f. Let n = v - -25. Solve 0 = -j - r - 2*r + 16, n*r = -3*j + 23 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 414582576 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20815*n**2 - 411 + 211 + 200 + 20804*n**2.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28079 = 121*g + 1138*g + 1292*g + 53553 for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60781, -0.3, -0.1, 4, 0.5 in increasing order.\nAnswer: -0.3, -0.1, 0.5, 4, 60781","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-45)\/(-25) + (-2)\/(-10). Suppose -4*h + 4 = 2*c, -4*c + 4 = w*h - 4. Solve c*i - 3*i + 4*j = 8, 5*i + 2*j - 4 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -18\/5 (b) -1\/8 (c) 4 (d) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23476801 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: Let y(b) = -220*b - b**2 + 82*b - 36 + 125*b. What is y(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/595 - ((-202)\/(-420)*-3 - 3\/(-2)).\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(27))**2 + sqrt(3)) - sqrt(36)\/(-2*sqrt(12)).\nAnswer: -108 - 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = -26*t + 10*t + 109 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49508917, 49508914, 49508909, 49508902?\nAnswer: 49508893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + 480?\nAnswer: 48b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 82 = -266. Is 16\/24 + w\/(-3) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-3832.\nAnswer: 1149.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 194*d - 4615 = -166*d + 5*d for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 75024 and 297?\nAnswer: 2475792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 8 = -2*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16006 and 16478336.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -990 + 1147. Calculate the remainder when c is divided by 111.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5225373, -10450844, -15676317, -20901792?\n\"Answer: -b**2 - 5225468*b + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 10*b - 4. Let p(v) = 29*v - 11. Let k = -860 - -856. Calculate k*p(f) + 11*j(f).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1321.5 and -0.3.\nAnswer: -1321.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + 7 + -2 - 4)\/((-1168)\/(-219))\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 j when four letters picked without replacement from jjjjjjhjjjjh?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3854027?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (8 - 4 - 8).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 b when four letters picked without replacement from {n: 8, c: 5, b: 4}.\nAnswer: 1\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 6:51 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/2*(-24)\/(-9). Let h(d) = -3*d + 2. Let f(x) = 5*x - 3. Give t*f(u) + 7*h(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -8\/11 (b) -3\/2 (c) 0.4 (d) 2100\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**2. Let p be (0 - -4) + 25\/((-75)\/6). Let i(g) = 18*g**2 - 29*g**2 - 72*g**p - 88*g**2. Calculate i(a(u)).\nAnswer: -684*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -273788.\nAnswer: -273784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**3*l))**(-11\/8))**(-22\/5) assuming l is positive.\nAnswer: l**(-121\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151545 is divided by 151534?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12546)\/(-374))\/(-41)*(-152)\/114.\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/24 of a millennium in months?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*m + 2*m. Suppose -m*w - 30 = -0*w. Is 14 a factor of -3 + (5 - 3 - w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f - 9. Let l be r(-1). What are the prime factors of (-43488)\/(-112) + l\/21?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1124430195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 192127408 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 0. Let m(n) = 4*n - 2. What is the tens digit of m(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t\/(t*(t\/(((t*t**6)\/t)\/t))\/t)*t*t**5*(t\/((t\/((t\/t**(2\/23))\/t))\/t))\/(t*t**(2\/5)*t) assuming t is positive.\nAnswer: t**(1094\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 - 4*x**2 + x - 4. Let j be c(4). Suppose j = a - 3*a - 4. What are the prime factors of 4\/a + 243\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -6*n**3 - 3*n**2 - 4*n. Let y = -69 - -70. Suppose -3*j + y = -2. Let w(k) = -k**3 - k. Calculate j*a(v) - 4*w(v).\nAnswer: -2*v**3 - 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6605181 and 15\/2935636?\nAnswer: 26420724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 21*t**3 - 11*t + 417. Let q(s) = 4*s**3 - 2*s + 83. What is 2*b(f) - 11*q(f)?\nAnswer: -2*f**3 - 79","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 638 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206578874 to the nearest integer?\nAnswer: 14373","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.57925 and 5.\nAnswer: 27.89625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/o**6*o))**44*o**(2\/9)*o*o*o**20*o)**(1\/14) assuming o is positive.\nAnswer: o**(2189\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 647*l + 1960 = 703*l. Solve l*t + 246 = -6*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, a: 5, e: 3, g: 3}. What is prob of sequence amg?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 15*d**2 + 14*d + 3. Let s be p(14). Solve -8*w = -s*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 3*t - 14, 0*d - 3*t = 3*d - 12. Suppose 3*j + d = 5*s, -2*s = -4*j - 12 + 6. Which is the second smallest value? (a) s (b) -0.3 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102044435 (base 6) to base 11.\nAnswer: -1005773","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4465349 and 737?\nAnswer: 49118839","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -157, -246, -341?\nAnswer: -442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3212*c - 219. Let f(t) = -73*t - 5. Let z(h) = -219*f(h) + 5*x(h). Let m(p) = -p. Calculate z(m(k)).\nAnswer: 73*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.97 + -11.27. What is the biggest value in 110\/9, 0, z?\nAnswer: 110\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1014664 divided by 126833\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7 - (-33)\/(363\/(-44)). Solve -4*i + 9 = -g*c, 15 = -5*i + 10*i - 5*c for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*y + 5*y - 7*y + (-6 - 6 + 24)*(5*y + 5*y - y) + (0*y - 6*y + y)*(-3 + 2 + 0 + (-3 + 2 + 2)*(3 + 1 - 2)).\nAnswer: 98*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.4 and 189522518998663.\nAnswer: 189522518998663.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 5*y - 4*y)*(-324 - 258 - 2)*(-5 + 0 + 4) in the form l*y + c and give l.\nAnswer: 1168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7622134 and 7384.\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -0*l + 96. Is l a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(-1)*k*k**(2\/9)\/k*k**(-2)\/(k*k\/(k*k**(2\/7))) assuming k is positive.\nAnswer: k**(-157\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 2 = -2*x, -5*l + 11 = x + 3. Let g(y) = -1 - 561*y - 585*y - 589*y + 1734*y. Let w(j) = j - 1. Give l*g(q) + 2*w(q).\nAnswer: q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*r + 12 = 4*a - 105*r, 75*r = 2*a + 300 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 11. Let t be m(4). Let a be (-4 + t\/5)*-2. Let j = 92\/91 - 2\/13. Which is smaller: j or a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*x**3 + 17*x**3 - 141*x**3.\nAnswer: -177*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12570413287 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1825 + -1822. Which is the nearest to 0.05? (a) 5\/4 (b) -0.5 (c) -7 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1018027617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q + 10. Let r be ((-30)\/(-40))\/((-3)\/(-12)). Suppose -r*d = 2*b - 107, 105 = 3*d + 4*b - b. What is the remainder when d is divided by u(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(11077\/(-1584) - -7) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s. Let d(a) = 6631812*a**2. Give u(d(h)).\nAnswer: 53054496*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/7 (b) -0.1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -3*p + 51. Which is smaller: 5\/4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 198 = -3*j, 2*k - 7*k - 326 = j. Let q = k + 83. What is the highest common factor of q and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 718 - 717.5. Let l = -0.275 - 3.705. Let q = l - 0.02. What is the third smallest value in f, q, 3\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/10353778 and -41\/1340?\nAnswer: 103537780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 6. Let w be r(-5). Let v = 27.3 + -27. What is the second biggest value in -5, w, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 4*w. Suppose t - 4*t = w. Let o(s) = s + 2 + 2*s**3 + 2*s + t + 0 - 3*s**2. Let v(d) = -4*d**3 + 5*d**2 - 5*d - 3. What is -5*o(l) - 3*v(l)?\nAnswer: 2*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -5*b**3 - 6*b**2 + 4*b. Let k(l) = 11*l**3 + 13*l**2 - 9*l - 1. Let m(w) = 4*k(w) + 9*q(w). What are the prime factors of m(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 5:46 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -456 and -1908337.\nAnswer: 870201672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 7*d + 262. Calculate h(-37).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*c = -62 + 16 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/52 - (0 + 2\/4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 3 + sqrt(13) + sqrt(13))*3*2 - sqrt(78)\/(3*sqrt(726)).\nAnswer: 18 + 593*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10 + 712\/(-72))*27. Let w(f) = -f**3 + 3*f**2 + 6*f + 2. Give w(h).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -26. Suppose -o*t - 52 = -3*s, -3*s + 3*t = -2*t - 56. What is the remainder when 34 is divided by s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the first derivative of 20*n**2 - 30*n - 42. List the prime factors of s(7).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (39 + 3)\/(-2 - -3). Let s = 27 - u. Let m be 2\/(-6)*1*s. Solve 2*b = 15 - m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3913 and -185854993?\nAnswer: 185851080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.069 + 0.331. Suppose 0 = x + 4*l + 18, -2*l = 2*l + 20. Which is the third smallest value? (a) 0 (b) u (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60608 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: Express i**3 + 3*i - i + 5*i**2 - 25888 + 25902 + 2*i as q*i + t*i**3 + f*i**2 + j and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q - 362 = -q - 194. Let x(v) be the second derivative of q*v - 1\/25*v**5 + 0*v**2 + 0*v**4 + 0*v**3 + 0 + 1\/75*v**6. Factor x(l).\nAnswer: 2*l**3*(l - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-3*(4 + -1*(-6*(-2 + 3 + sqrt(1573)*3))**2).\nAnswer: 14256*sqrt(13) + 3058104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32983*u + 32936*u + 8322 = 99066*u - 33001*u for u.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 442, 675, 908, 1141?\n\"Answer: 233*m + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9 - 3.5. Suppose 38*l - 184 + 520 = -424. Which is smaller: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w + 181 - 41 = 0. Find the common denominator of (2\/(-72))\/(w - (-1645)\/410) and (2\/(-7))\/(48\/49).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 3\/2 (b) 1 (c) -15 (d) -0.5 (e) 2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.2011 - -4.17. Let a = 0.002 + 0.027. Let b = i + a. What is b rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5608 + 1630.\nAnswer: -3978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j - 5. Let h be w(5). Let m(z) = -3*z + 13. Let o = 5 - 12. Let b(k) = -2*k + 9. Calculate h*m(i) + o*b(i).\nAnswer: -i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17179, -34337, -51495, -68653, -85811?\n\"Answer: -17158*l - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**1*b**(-7))\/(b**2*b*b**(1\/7)) assuming b is positive.\nAnswer: b**(-71\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*y - 3*y + 6. What is the remainder when (y - 0)\/(4\/(-68)) is divided by (-40)\/(-30)*(-54)\/(-4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j + 39. Let y(o) = 2*o + 40. Determine 3*c(t) - 4*y(t).\nAnswer: -2*t - 43","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 25*k + 27*k - 51274 = 0, -5*t - 3*k + 85458 = 0. 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 r(b) = b**2 + 1. Let a(o) = -8*o**2 - 2*o - 2. Give a(k) + 3*r(k).\nAnswer: -5*k**2 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 13 = o + 6*b, 37 = -4*o - 5*b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 798795 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 34. Let y = 13 + -8. What is the third smallest value in -3, y, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 233? (a) -2 (b) 2\/23 (c) 8 (d) 4\/9 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**4\/3 - 189*b**3 + 11134*b**2\/3 = 0. Calculate b.\nAnswer: -586, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-82*s - 1946*s + 994*s)*(-4 + 4 + 1)*(0*s**3 + 0*s**3 - 2*s**3 + (0*s**2 + 0*s**2 + s**3)*(2 - 2 - 2)).\nAnswer: 4136*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 4*l + 3246. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.72 + 0.02. Let g = 2 + i. Let h = 75\/7 + -389\/35. Which is the closest to 0? (a) h (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3612 divided by -903.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b + 78. Let i be a(-17). Let n = i - 58. Let m be (0 - 4\/(-20))*25. Solve 0 = n*w + 10 + m for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5344.\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*4\/(-108))\/(12\/(-9))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 112 = 2*s, 5*s - 7*f - 270 = -2*f. Determine r so that -10*r**3 - 46*r**2 + 2*r**4 - 2*r**5 + s*r**2 + 6*r**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 42.9999616. What is p rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 2) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -325*p**6\/6 + 140*p**2 - 337. What is the second derivative of n(c) wrt c?\nAnswer: -6500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 6*z + 1. Let a be r(-6). Let q be (-1)\/a*(-7 + 122). What is q rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3593 (b) -11 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 7*t**2 - 11*t - 6. Let p be u(-4). Let v be 52\/78*(0 + (-1 - p)). Put v, 2, -3 in decreasing order.\nAnswer: v, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-222))\/(((-153)\/(22950\/(-20)))\/(8\/10))?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1002 (base 3) to base 2\nAnswer: -11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.068 times -1117\nAnswer: -75.956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-3)\/((-1)\/1). Suppose z*x - 1 = -5. Let f be 2 + -3 + (-6)\/x. Solve 0 = -b - 4, b - 28 = -f*s + 3*b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211313 >= 2747052\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 21791.62 to the nearest one hundred.\nAnswer: 21800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 819 + -819.1. What is the closest to -0.1 in 4\/5, h, 1, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**3 - 16*d**2 - 6*d + 24. Calculate n(-8).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 - (183 - (17 - -69))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*m**2 + 2*m + 0*m - 15*m**2 - m.\nAnswer: -26*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (14 - 17) + 5 + 3 - 20\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/16)\/3 + 134673\/264. What is the common denominator of 89\/4 and -2 + (c\/12 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 0. Let m(x) = x**2 - 4*x + 3. Let l be m(2). Let y = u - l. Calculate the remainder when 15 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -69*x**6 - x**5 + 2263*x**4 - 13170*x**2 + 51*x wrt x.\nAnswer: -8280*x**3 - 60*x**2 + 54312*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a1 (base 16) to base 6.\nAnswer: 5253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 4, h: 2}. Give prob of sequence ccc.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 5*s - 14, -s - 3 = j - 6. Let u be (-14)\/84 - 3\/((-36)\/(-838)). Let y = u - -94. Solve 4*m = -4*q - y, -5*q + 5*m - 2*m = -s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10333011 (base 6) to base 8\nAnswer: -1131137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - 15 + 16 + 0*b**3 + 2*b**3 to the form o*b**3 + c + u*b + r*b**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a = 1456 - 4987. Let s = a - 207. Calculate the smallest common multiple of 14 and s.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 3*s**3 + 5*s**2 + 5*s + 29. What is j(-3)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 0 = 4*t. Let w be (-4)\/8*3*t\/(-3). Calculate the greatest common divisor of 25 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 + -11. Let g(b) = b**2 + 2*b - 5. Let u be g(-4). Suppose -3 - 12 = -u*n. Solve -n*y = -4*o + 14, -j*y + 0*y + 5*o - 11 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*q - 7*q + 98. Let g be (-416)\/(-6) - 2\/6. Is (q\/21)\/((-2)\/g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -11. Let d = r + 12. Suppose -3*y = g - 6299, -2098 = -y - 5*g + d*g. Round y to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 0*k**3 + k + 7 - 2*k**3 + k**2 + 3*k. Let g be s(4). What is the units digit of g\/(-2)*(5\/(-25) - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.42 - -0.28. Let g = s - 1.2. Which is the second biggest value? (a) -3 (b) g (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1341600\/1800)\/((-1300)\/(-75))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17402 + 17411. Let g(s) = -s**3 + 9*s**2 - 3*s + 27. What is g(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of o**4\/12 + 5*o**3\/6 - o. Let j be n(-6). Let u(k) = -k**3 + 5*k**2 + 8*k - 5. Let s be u(j). Solve s*g - 2*g = -15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2. Let b(i) = 54*i**2 + 4*i. Calculate q(b(l)).\nAnswer: 2916*l**4 + 432*l**3 + 16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -78 + 80. Suppose u = 3*u - p - 45, 0 = -5*u - 4*p + 145. Suppose -f + 4*n = 0, 2*n = -5*f - 3*n + u. Solve -f*j + 4 = 0, -o*r - j + 16 = r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kzkkzkzhkkzzzkkkzzkk. Give prob of picking 1 k and 1 z.\nAnswer: 44\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + (sqrt(108)\/sqrt(4))\/sqrt(9)).\nAnswer: 2*sqrt(3) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -f**4\/4 + 2*f**3\/3 + 5*f**2\/2 - 4*f - 1. Let x be -1 + 7 - (5 + -2). Let b be q(x). Solve -15 = -b*k - k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1495.988 days?\nAnswer: 129253363.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, 2\/11, -348.6715?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -107*k**2. Let y(q) be the second derivative of q**3\/6 + 25*q. Determine f(y(u)).\nAnswer: -107*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2704 and 20831278.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6566131 (base 8) to base 4.\nAnswer: -12232301121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggggggkgggggggggggg. What is prob of sequence gg?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101110000010110 (base 2) in base 11?\nAnswer: 39370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j - 6*j + j)*(3*j - 2*j - 2*j) - 109*j**2 + 70 + 649*j**2 - 70 in the form x*j + k + f*j**2 and give f.\nAnswer: 542","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000014645 rounded to 7 decimal places?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2310 + -2307. Which is the closest to 3? (a) m (b) -4\/5 (c) 9 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 p when three letters picked without replacement from {b: 4, p: 4, y: 3}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -28*g**2*h**3 - 38*g**2*h**2 + 6*g**2*h - 2*g**2*j + 385123*g*h**3*j - h**2 wrt j?\nAnswer: -2*g**2 + 385123*g*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/160 - 31\/370)*(-2 - -7).\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -63919*b**2 - 29531.\nAnswer: -127838*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -115 + -91 + 149 - 29.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -3*t**2 - 12*t + 3. Let p(k) = -5*k**2 + 2*k**2 + 4*k**2 - 1 + 5*k. Let d(y) = -12*p(y) - 5*w(y). Factor d(l).\nAnswer: 3*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Let k = 264143 - 3433858\/13. Sort k, c, -3 in decreasing order.\nAnswer: c, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/5 - 13*m**4 - 33372*m**3\/5 - 1752592*m**2\/5 + 133472*m\/5 + 7011408\/5 = 0. Calculate m.\nAnswer: -86, -2, 2, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23.7 - -96.3. Let i = 105 - r. Let t = i - -19. What is the third smallest value in t, -2\/13, -1, 1\/17?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299)*-2)**2 - sqrt(2299)) + (sqrt(38)\/sqrt(2)*-6)**2)*-6.\nAnswer: -59280 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14535 + 15?\nAnswer: 14554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 459, -2, 2, 2\/5 in descending order.\nAnswer: 459, 2, 2\/5, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, c: 12}. Give prob of picking 1 g and 2 c.\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 6:20 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.9419t in grams?\nAnswer: 85941900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-24)\/(-18)*-2)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 26*d - 2. Let a(g) be the third derivative of -88*g + 0 + 1\/6*g**3 + 2*g**2 - 17\/24*g**4. Give -8*a(m) - 5*j(m).\nAnswer: 6*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*a = 15*a - 12. Calculate the least common multiple of 42 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -1\/11, 2\/7, 37?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 623923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 5*s**2 + 7*s + 2. Let t be c(6). Let n = 11 - t. Solve 0 = -4*p - 5*d - 20, p + 4*d + n + 2 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0, -1, 1289.\nAnswer: -1, 0, 11, 1289","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 9:35 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 183, 400, 647, 918, 1207?\nAnswer: 1508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 6*h - 16 = 0. Suppose h*n - 25 = -3*c - 8, -n = -c + 1. Suppose -23 = c*l - 62. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1508 by 29.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/89, -3, -0.1, -1?\nAnswer: -4\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.3, 2\/15, 1\/179, 8 in decreasing order.\nAnswer: 8, 2\/15, 1\/179, 0, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4734 - 2825 + 5287 = 257*q. Calculate the least common multiple of q and 14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23121 - -13?\nAnswer: -23103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -53e5c + -cf?\nAnswer: -53f2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that 8820*y**4 - 61656*y**3 + 802516*y**2\/5 - 921904*y\/5 + 394384\/5 = 0.\nAnswer: 157\/105, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 7\/4 (b) -0.3 (c) -5.8 (d) -2\/13 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -482068*h**2 - 11*h - 38977 wrt h.\nAnswer: -964136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 269*u + 6*n - n - 59 = 273*u, 4*n = 2*u + 22 for u.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -1.01?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1\/4 - 86\/(-8) and (158\/237)\/((-1)\/(-12)).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a**3 - 640*a**2 + 215*a + 111. Determine c(-107).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 + 14*i + 19. What is the smallest common multiple of (2\/1)\/(2\/7) and b(-13)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -803 + 130.\nAnswer: -673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhpghzhkzhkhpkghhgh. What is prob of picking 1 k, 1 z, and 1 h?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-55)\/11*(-1 + 0). Suppose -3*f + 14 = l, 0 = -0*l - o*l + 4*f + 127. Suppose l*h - 22*h = 108. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c + 13. Let o be t(12). Suppose 0 = q - o + 3. Let d be (-60)\/72*q\/10. What is the closest to 1 in -2, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 3444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1746.3 times -0.3?\nAnswer: 523.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by 4692\nAnswer: -1\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 1388884 = 1388915?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*b - 2489*b**3 + 23*b + 28*b.\nAnswer: -2489*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 521 - 487. Let z(s) = -2*s + 73. Let y be z(r). Which is the second smallest value? (a) y (b) 2 (c) -5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i**2 - 3*i - 7. Let z be s(5). Suppose -2*u = 2*n - 10, -22*n - 3*u = -20*n - 18. Sort -2, z, n in descending order.\nAnswer: z, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51059011561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 199889 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 987 divided by 4.\nAnswer: 987\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1656 is divided by 26?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 + 58*f**2 - 447*f - 43. What is j(7)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128438 to the power of 1\/2, to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63870 is divided by 62846.\nAnswer: 1024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m - 4 = -200 - 530. Let t(c) = 11*c**2 - 4*c + 2. Let h be t(4). Let f = h - m. Does 24 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -76884, 63, 2, 1.\nAnswer: -76884, 1, 2, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21.2 in 1, -1\/4, -2\/5, 2\/17?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 27 and -12586110?\nAnswer: -339824970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-4) + (105\/(-12) - -9)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77999 is divided by 191.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*s + 3*s - 9*s)*(0*s**2 + 0*s**2 - 2*s**2).\nAnswer: -42*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -131*n - 22133. Determine f(-169).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - 1\/(7\/(-49)). What is the derivative of 18*d**t - 92*d**3 - 12 - 8 wrt d?\nAnswer: -222*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*(q*q*q*q**(2\/5))\/q)**(-2\/11))**(-2\/57)*(q**(-2\/17)\/(q\/(q*q**(2\/15))*q))\/(q**(1\/2)*q\/q**(2\/23)) assuming q is positive.\nAnswer: q**(-528043\/222870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*f - 244*f**3 - 8*f**2 + 569*f**3 + 10*f**2 - 11*f**2 + 327*f**3 wrt f.\nAnswer: 3912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 36\/8*10\/15 - -557. Suppose -d = 8*c - 24*c. Calculate the highest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8208*85408.\nAnswer: 701028864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 20546.\nAnswer: 8218.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75 - -79.1. Let w = p + 0.3. Let m = w + 0.6. Which is the closest to -1? (a) 0.1 (b) -2\/3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1a0 - -2?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m + 2 + 2 - 6. Suppose 3*r = -x + 4, 0 = 2*x - x + 2*r - 2. Calculate z(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11020 - 2101121?\nAnswer: -2112211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 108?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1632 and -71\/204.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -34.\nAnswer: -7\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(1331)*3 + sqrt(1331) - sqrt(1331) - sqrt(1331) - sqrt(1331) - -1*(sqrt(1331)*4 - sqrt(1331))) + -2 + 3)**2.\nAnswer: -110*sqrt(11) + 33276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 827261376 by -48.\nAnswer: -17234612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22563 + 27*p - 22567 - 25*p.\nAnswer: 2*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/(-1*sqrt(2)*1))\/(sqrt(512) - ((sqrt(512) + (sqrt(512) - (sqrt(512) + 2*sqrt(512)) - sqrt(512)) - sqrt(512)) + sqrt(512))*-3).\nAnswer: sqrt(2)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 482\nAnswer: -1\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -258 - 461. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/11130 and 49\/2035?\nAnswer: 4529910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 6 + 6 = 0. Let i = x + 2. Is (i - (-3 - -2)) + 15 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (-1 + sqrt(275) + -4))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 698408157 to the nearest integer?\nAnswer: 887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*x - 46*x - 5*u = -14, -5*x + 3*u = 27 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1*-220\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7004\/9 - -778. Which is the smallest value? (a) z (b) -80 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 317*s**8\/84 + s**5\/2 + 5*s**3\/2 + 393*s**2. What is the third derivative of d(f) wrt f?\nAnswer: 76080*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*r + 4*v - 4, 0 = 5*r + 2*v - 24. What is the remainder when ((-45)\/(-36))\/((-10)\/(-592)) is divided by (57\/(-6))\/((-2)\/r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 549578 - 264625. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -152828, -153175, -153760, -154589, -155668?\n\"Answer: -t**3 - 113*t**2 - t - 152713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -170*d + 131. Let v be n(4). Let h = v + 593. What is the smallest common multiple of 4 and h?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 t when four letters picked without replacement from {t: 4, h: 7}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*o = -100*o - 140*o + 49*o + 12840 for o.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0059 - -0.3059. Which is the closest to -1? (a) 1\/3 (b) -5 (c) w (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6439.\nAnswer: 47, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d**3 - 18*d**2 - 8*d + 6. Determine k(-8).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1715 and 4668230.\nAnswer: 4668230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 185.8 + -186. Which is the second smallest value? (a) u (b) 1\/6 (c) 2 (d) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 935 + 542. List the prime factors of y.\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 m when four letters picked without replacement from mibbmmbmmb?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x = 5*q - 3*x + 11, -4*x = -4*q - 16 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 - -4)*2\/(-2). Suppose n = 4*k - n - 4, -5*n = k - 23. What is the second derivative of 2*b**4 + 1 - k*b - m wrt b?\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-410227)\/(-6) + (9\/36)\/(6\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - (2 + -3)*2. Suppose -2*k = -1 - y. Suppose -3*q - 31 = -4*w, -5*w - k*q = 3*q - 30. Is 3 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 37008729?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -259954.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-133) - 5*(-126)\/(-570). Is y at most as big as -7\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -529.\nAnswer: 5\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*-3*sqrt(128))**2 + sqrt(128).\nAnswer: 8*sqrt(2) + 10367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24861407 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (-1 - -3)) + (14 - (-80 - -59))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 351 = -355. Let c(t) = -1 + t**3 + 2*t + 2*t**2 + 1. Give c(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkfffk.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 6*c**2 + 2*c - 2. Let o be (-1 - 37) + 60\/20. What is the remainder when (-21)\/o + 494\/10 is divided by p(-5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0 (b) -0.5 (c) 3\/7 (d) -5.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u**2\/2 + 4541*u\/2 + 52486 = 0. What is u?\nAnswer: -23, 4564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (5 - 5) + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + (-1 + (5 + (sqrt(175) - (0 + sqrt(175) + 1)) + 3)*1)**2.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.056092\nAnswer: 0.0112184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.18 - -0.18. Put -35, 1\/3, r in increasing order.\nAnswer: -35, r, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 3*d + 3 = 0. Solve 7 + d = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3*sqrt(110) + sqrt(110))\/sqrt(2) - -2*sqrt(880))\/(-5*(-1*sqrt(540) - sqrt(540))\/sqrt(12)).\nAnswer: sqrt(11)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 - 12. Suppose -r + 17 = 5*k, 0 = k + 2*k + r - 9. Suppose -3*i = -0*y + y - 6, -k*y + g = -4*i. Solve 4*f = -y + 19 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 298 and 28906.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174*n + 154*n = 482816. Calculate the least common multiple of 552 and n.\nAnswer: 4416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217212.2 rounded to the nearest 100000?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*d**4 + 2*d**4 + 4*d**4 + (-5 + 4 + 5)*(-4*d**4 + d**4 + d**4).\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) -0.7 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 39125440903 - 4\nAnswer: 39125440899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and -0.06160586472?\nAnswer: 3.06160586472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n*n*n\/(n**(2\/5)\/n)*n*n)**(14\/3)*n*(n*n**(-1)\/n)\/n*n**(-6)*n*n)**(-19\/4) assuming n is positive.\nAnswer: n**(-8683\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 33528931 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 68 + 12 + 3 + 41 + 181*d - 23*d with respect to d.\nAnswer: 158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2860)\/(-165)*23\/(598\/(-78)).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8071225 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 200, -1\/5, -265225?\nAnswer: -265225","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 1312321?\nAnswer: -1312322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 take away -6121959334?\nAnswer: 6121959346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3 take away -0.0023?\nAnswer: -3.2977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320 divided by 1320?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2716.382 micrograms to grams.\nAnswer: 0.002716382","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.123 and 0.2584512?\nAnswer: 0.0317894976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 291342*0.09\nAnswer: 26220.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -973*m + 1323. What is the hundreds digit of a(-15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1347377999?\nAnswer: 11, 47, 283, 9209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 609815529 to the power of 1\/2, to the nearest integer?\nAnswer: 24694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -8279558.\nAnswer: 3311823.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121 (base 14) in base 7?\nAnswer: -11441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r = -59545 + 59402 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 25 - 26. Let s be (0 - (31 - k)) + 5. Let x = s - -44. Calculate the remainder when 133 is divided by x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3999233.\nAnswer: 7, 17, 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**1\/i*i)**15\/(i\/((i\/(((i**(-3\/7)*i)\/i)\/i))\/i)*i**(-2\/13)))\/((i\/(i**(-3\/4)*i))\/i*i*i*i**4*i*(i\/(i**(-1)*i))**25) assuming i is positive.\nAnswer: i**(-5885\/364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.489 - 0.089. Let v = -15 + 15.9. Let z = 2.1 + v. Sort -0.4, t, z.\nAnswer: -0.4, t, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18545 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: Is 10393192 > 62359145\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842645?\nAnswer: 5, 127, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/5))**5\/(k**(-4)\/((k**2*k)\/k)) assuming k is positive.\nAnswer: k**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 - y - 4. Give g(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of o**2\/2 + 1305. Let t(y) = -41*y - 5. What is t(r(z))?\nAnswer: -41*z - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -6 + 5 + 0 + 2*b - 6*b. Let d be w(-1). Does 8 divide -4 + 1 + (d - -17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099145 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 PM and 9:00 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.895 rounded to the nearest 10?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i, 1 w, and 1 f when four letters picked without replacement from ifiwf.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 907639 is divided by 9168.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (4\/10)\/((-8)\/(-5)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**5*r - m**4*r - 561*m**3 + 6*m**2*r - 22*m**2 + 7*m*r + 2*r wrt m.\nAnswer: 120*m**2*r - 24*m*r - 3366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0017401 rounded to 5 decimal places?\nAnswer: -0.00174","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 454 + -473 + (9 + -16 - -2) + -69\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0037665 rounded to 4 dps?\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47, -73, -117, -179?\nAnswer: -259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1, 26111, -6, 2, 1\/2 in increasing order.\nAnswer: -6, -1, 0.3, 1\/2, 2, 26111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -14\/851?\nAnswer: -14\/851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 3:11 PM?\nAnswer: 7:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 13*c**2 + 2*c. Let j(h) = -63*h + 2472 + 62*h - 2457. Give j(u(b)).\nAnswer: -13*b**2 - 2*b + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 3*y - 3. Let n(o) = -o**2 - 2*o + 2. Let z(v) = -2*l(v) - 3*n(v). Let r be 1\/(-3 + 14\/4). Let x(a) = -2*a + a**2 + r*a - 3*a**2. Give x(z(i)).\nAnswer: -2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-2\/7)\/g)\/g)**(1\/26))**43)**(-2\/9) assuming g is positive.\nAnswer: g**(688\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -32 from 38378.\nAnswer: 38410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 k when two letters picked without replacement from {u: 4, k: 15}.\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 divided by 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - 1\/2*92. Let x be ((-7)\/3)\/((-7)\/c). Is (-2*113)\/(4\/x) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1612786 rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 226112 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 1\/8*o**4 + 0*o + 1\/3*o**3 - 52*o**2 + 0. Let q(w) = 4*w + 3. Give 7*h(v) - 5*q(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -196*w - 5478 = 302*w for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 6) in base 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1836 and 4413132.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -6. Let d(y) = -3*y - 4. Is d(f) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 47*u + 217. What is s(-42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 539, 557, 575, 593, 611, 629?\nAnswer: 647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 16 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -78991.57 plus -174?\nAnswer: -79165.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 + 10*k**2 + 3*k - 62. Give o(-7).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-3)*(-10)\/20.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 21064301 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 5*v, -2*v + 169 - 167 = -4*k + v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/9, -0.2, -12\/91, -3\/5257, -0.1?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/24946 and 3\/8356910.\nAnswer: 8356910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-5*(sqrt(147) + -1) - sqrt(147)) + (sqrt(147) - ((2*sqrt(147) - sqrt(147)) + 2)) + 5 + -2)**2.\nAnswer: -420*sqrt(3) + 5317","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a kilometer in meters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47 - 75 + 34 = -2*m - 2*t, 5*t + 31 = 11*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -7 - 14 - 21*v - 23 + 73*v. What is the units digit of l(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 884 and 612.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-42))\/((-144)\/1008)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 698\/1396*(6 - (-2 + -34))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-18))\/(33\/(-27)).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 451 in decreasing order.\nAnswer: 451, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**3 + q. Let o be s(-1). Suppose -o*n + 90 = 2*h + 8, 4*h + 70 = 5*n. Is n a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1333*i - 2618*i = -1335*i - 2500 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*j + 3*j + 4*w, -2*j + 9 = 3*w. Let f be -3 + (3 - -6)\/j. Suppose f = -2*d - d. Let a(q) = q**3 - q**2 - 1. Give a(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157036967 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + 6*d - 33, 4*d - 13 = 47*n - 46*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -151*h*o**6 + 2476*h*o**2 - 87*h - 1362*o**6 wrt o.\nAnswer: -18120*h*o**3 - 163440*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 7*g - 23168 = 5*u, 38592 = 5*g - 3*u. Let o be 2\/8 + 61637*(-1)\/8. Let c = g + o. Calculate the common denominator of 55\/14 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + -58?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**4 - x**4 + x**4)*(-2*x - 3*x + 6*x) + x**2 - x**2 - 2*x**5 + (x**2 + x**2 + 0*x**2)*(3*x**3 - 4*x**3 - x**3) - 1 + 1 - x**5.\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 57*188969\nAnswer: 10771233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 14840 = -12*p. What are the prime factors of p?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 730 - 702 = 0. Let l(w) = -w**2 + 3*w + 2. Give l(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -14, -2, 3, 0, 6.\nAnswer: -14, -12, -2, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11328 and 374532?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 163? (a) 1\/2 (b) -0.05 (c) 12\/11 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12155 (base 8) to base 7.\nAnswer: 21150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/6621 + 13255\/86073. What is the fourth smallest value in 6, 4, w, 0, 2\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.6 + 6. Suppose 4*a - 6 = 3*k - 3, -3*a = k - 12. Suppose 3*x + 13 = -k*n + 4*x, -n - 3 = x. Sort z, -0.2, 2, n in ascending order.\nAnswer: n, -0.2, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**2\/5 + 451*o\/5 - 364 = 0.\nAnswer: -455, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 - 12 + 3*h**2 + 2*h + h**4 + 3*h**2 - 5*h**2 to the form r*h**3 + v*h**2 + w*h + a + m*h**4 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of -v**8\/20160 + v**7\/7560 + v**6\/1080 - 14*v**4\/3 + 7*v - 3. Let g(f) be the third derivative of r(f). Factor g(c).\nAnswer: -c*(c - 2)*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - 23*t**2 - 22*t + 111. Calculate the remainder when 21754 is divided by u(-22).\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**6\/120 + j**5\/4 + 17*j**4\/24 - 10*j**3\/3 - 2*j**2. Let v be n(16). List the prime factors of v + -1 + 3 + 36.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t. Let k be s(1). Let p be 2 + k - 6\/7. Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -27*h**2*l - 853107*h**2 + 17323*h*l - 414*h - 149*l wrt l.\nAnswer: -27*h**2 + 17323*h - 149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = h - 0*h + 3, 5*h + 3 = -u. Suppose f = u - 5. Is (-3 - 0) + f + 91 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12733*a - 32174.\nAnswer: 12733","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.053837*0.0002\nAnswer: 0.0000107674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 - 272583*y - 15001140.\nAnswer: 3*(y - 90916)*(y + 55)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 q when two letters picked without replacement from mqqqmqqqvmmmqmqvqm?\nAnswer: 7\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 2*y - 4. Let w be d(3). Let l be (225\/12)\/(2\/w). Suppose 15 = m - 3*t, 0 = 5*m + t + 4*t - l. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65482*p + 9 = -65441*p - 483 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**2 + 463*p - 463*p + 17.\nAnswer: 3*p**2 + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 193*d**2 - 973*d - 762025 wrt d?\nAnswer: 386*d - 973","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 11*a = 2*q + 10, -5*a = q + 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37639761.\nAnswer: 3, 1303, 9629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 10*m**2 - 3*m - 18. Let b(p) = 21*p**2 - 5*p - 37. Let t(v) = 9*a(v) - 4*b(v). Let i be t(-2). Calculate the highest common divisor of 3 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*l - 1\/3*l**2 + 0.\nAnswer: -l*(l + 132)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + (1 - 2) + -2. Let f(u) be the first derivative of 1 - 1\/3*u**3 + y*u**2 + 0*u. Let w(r) = -2*r. What is w(f(j))?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 33000 (base 4) in base 6?\nAnswer: 4240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -1. Let y(a) = 2*a - 58. Let l be y(28). Let q be ((-3)\/(18\/12))\/((-1)\/l). What is the closest to 0.1 in 0.4, q, o?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30940?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.5 (b) 2\/7 (c) 6985\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 223 - 129. Calculate the remainder when n is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 9, y: 2}. Give prob of sequence yc.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**36*a**8\/a assuming a is positive.\nAnswer: a**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 2)*(4 + -8). Is 19624\/12*2*(-12)\/m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**4 - 7874390*p**3 - 4246050*p**2 wrt p?\nAnswer: -48*p - 47246340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 124*s + 55. Let a(n) = 528*n + 221. Let y(z) = 4*a(z) - 17*v(z). Determine y(10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2200222 + -10?\nAnswer: 2200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 13\/66 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w**(-5)*w)*w**(1\/14) assuming w is positive.\nAnswer: w**(71\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.034 in 0.2, 1, 27, -1370, 11?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3320130 and 1650?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/18*(-786)\/60. Let f = a - 25\/3. Factor -2\/15*j**2 - 2\/3*j - f + 2\/15*j**3.\nAnswer: 2*(j - 3)*(j + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1780.7 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 6*t + 16. Let f be h(8). Let v(g) = -g**2 - 9. Calculate v(f).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 55424 - 31?\nAnswer: 55353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251870 is divided by 417.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 18 = 5*y. Let b be (-7*y)\/(7\/(-7)). Let n(i) = 2*i - 3. Let r be n(b). What is the greatest common factor of r and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 115 - 116. Let i(z) = -5*z**2 + 15 - 16 + 2. Determine i(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8.108 + 8.1642. What is t rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 21. Solve 4*y = 6*y + f*n, 0 = 4*y + n + 7 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 3*k + 6. Let p = 140 - 138. Find u, given that 7*u**2 - 3*u**5 + 11*u**p + 8*u**4 - 16*u**k - 7*u**3 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11191482 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.2 - -5.1664. Let a = 0.039 + d. Round a to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.43 + 1.67. Let q = g - 6. Let n = 5 - q. What is the nearest to 2\/5 in 2, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3873896.5 to the nearest 1000.\nAnswer: 3874000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/8 + (-2 - (-4 + 5))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-105)\/63 - 8086\/(-6). Suppose -2*h - 1894 = -5*q, 2*q + 157 + 808 = -h. Let b = h + w. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112\/(-490) - 3*(-3)\/21?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -37*g - 1. Let b be t(2). Let h = b - -152. Calculate the remainder when h is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3907\/1897 or 2?\nAnswer: 3907\/1897","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 f, and 1 a when three letters picked without replacement from wyafaaaawwaa.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8910 - -9588. What is the highest common factor of 21 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of 63*v + 0*v**4 + 0 - 7*v**2 + 10\/21*v**7 + 0*v**5 - 1\/2*v**3 + 0*v**6. What is the second derivative of c(r) wrt r?\nAnswer: 400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 11*r**2. Let u(n) = -64*n - 67*n + 192*n - 61*n + 24*n**2. Give i(u(b)).\nAnswer: 6336*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24788849227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10 from -93.65.\nAnswer: -83.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(3\/8)\/s*s**(-4) assuming s is positive.\nAnswer: s**(-29\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tlljlllblllllll. Give prob of picking 1 b and 1 t.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 12:48 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l - 2. Suppose i + 4*y = -0*i + 9, -2*y = -2*i - 12. Let c be -2*(i - 27\/(-6)). Let x(h) = 4*h + 2. Determine c*m(b) - 4*x(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 99.68844km?\nAnswer: 99688440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 78156.\nAnswer: 234468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 - d**2. Let c(l) = -19*l**3 + 6*l**2 - 22*l. Let v(u) = c(u) + 6*x(u). Find the second derivative of v(k) wrt k.\nAnswer: -150*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64622263 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.7 - -1.7. Let w = -3\/797 - -4342\/94843. Let n = 123\/2737 + w. Which is the closest to 2? (a) -5 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - 4 - 3 - (0 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 1.06, 0.098, -2\/25?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*x + 35*x = 65. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 57024158 and 78550?\nAnswer: 3142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 465*u - 65*u**2 - 923*u + 463*u - 113. Let a(t) = -t + 1. Let n(o) = -5*a(o) - g(o). What is the derivative of n(s) wrt s?\nAnswer: 130*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 0) + 124 + -128?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 10 = -3*b, -3*a + 8568 = 4*b + 8553 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4728357 is divided by 780?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2816 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13\/239, 0.04, 2\/11, 5 in ascending order.\nAnswer: 0.04, 13\/239, 2\/11, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 12. Suppose -k*t + 13 = -7. Sort t, -5, 0.3 in decreasing order.\nAnswer: t, 0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1344 + 1?\nAnswer: 1345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 + -18. Let w be s - ((-4)\/3 + -1). Let j = 1 + -4. Which is the biggest value? (a) w (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -334684 divided by -83671\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 420*j**2 - 218*j**2 + 256*j**2 + 696*j**2.\nAnswer: 1154*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 + 24. Suppose r*t = -5*t + 5*w - 5, 5*t - 40 = -4*w. Let j(h) = 432*h + 7. Is j(t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xca when three letters picked without replacement from ahgeaaaghacghcagax?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 230 = -4*k + 250, -2*g - 606 = -5*k. Suppose -q = -k - 6. Is (3 + -7)\/4 + q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18005 - -7237. What are the prime factors of h?\nAnswer: 2, 3, 7, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5881.\nAnswer: 5881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 2*n - 0*n + 381, -n = -2*r + 153. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -17*i + 29*i - 9*i - 7. Let y be u(3). Suppose -5*g = -3*g + 5*n - 140, -y*n + 146 = 2*g. Does 21 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12887, -25775, -38663, -51551, -64439?\nAnswer: -77327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 33026 + -7199605\/218. What is the common denominator of -99\/8 and w?\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35477.\nAnswer: 13, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2331, -6731, -11131, -15531, -19931?\nAnswer: -24331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the third derivative of 0*o + 7\/6*o**3 + 0 - 1\/3*o**4 + 55*o**2 + 1\/20*o**5. What is the derivative of b(m) wrt m?\nAnswer: 6*m - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1894*y**4 - 21*y**3 - 2*y**2 - 2011812*y?\nAnswer: -22728*y**2 - 126*y - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -4, 1, 19, 4 in increasing order.\nAnswer: -4, 1, 4, 19, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.7 from 4.17639.\nAnswer: 7.87639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 - 0)*-41 + -1. Let d = -46 + p. Suppose 5*g + d = g + 3*i, g - 2*i + 15 = 0. Which is bigger: -6 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 - (0\/2 + -1). Let m = -3 + 5. Let h be (8\/(-36))\/(m\/2). Is h greater than or equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-4)*(5 - 13). List the prime factors of (a\/5)\/(6\/(-20)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q = -3. Suppose q*j = 32 - 2. Calculate the smallest common multiple of 6 and j.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 341228*x**4 + 99112 wrt x?\nAnswer: 1364912*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 5*c**2 - 61*c + 31. Let v be n(0). Solve v*d - 180 = d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**4 - 3*y**4 + 2*y**4 + (2 + 0 - 5)*(-2*y + 2*y - 2*y**4) - 3*y**2 + 3*y**2 - y**4 + 2*y**4 + 2*y**2 - 2*y**2 + (y**4 - y**4 - y**4)*(3 + 2 + 15).\nAnswer: -11*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 - (1 + (-34 - -2)). Suppose w - b = -w. What is the common denominator of 2\/(w\/18)*-3 and 25\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 98441 to the nearest integer?\nAnswer: 314","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 162780.\nAnswer: 49\/162780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 5 = 5. Suppose -w = -f + 9, -4*w - 29 = -f + w. Suppose -4*l = -f*a - 20, 5*l + 9 = -3*a + 2. Solve s*x + 4 = -l for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 9*l - 2. Is i(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eemt when four letters picked without replacement from ztzzzrmztszzzeszezzz.\nAnswer: 1\/29070","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -23*k + 121 - 6. Suppose 0 = -k*v + 5*x + 40, -v + 10 = -6*v - 5*x. What is g in 1\/4*g**4 + 0 - 1\/4*g**2 + 3\/4*g**v - 3\/4*g = 0?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*i - 16. Suppose -10*p + 79 - 49 = i. What is the least common multiple of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210.564564 rounded to the nearest integer?\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16844?\nAnswer: 2, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 + 101. Let z be (-8)\/10*c\/10. Is 0.165 at least z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 - 15*y + 56. Suppose -4*r + 3 - 58 = -3*h, -5*h - 4*r + 49 = 0. What is the remainder when 176 is divided by o(h)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y - 32. Give n(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 34550 smaller than 34549?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4}. Give prob of picking 2 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does -3961 = -3961?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 107?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 - 22 = 3*v. Let w(z) = 4*z**2 - 14*z - 10. Let u(m) = -3*m**2 + 12*m + 10. Let g(p) = v*u(p) + 4*w(p). Determine g(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000101691 to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 25*v**2 + 520*v - 545 = 0.\nAnswer: -109\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 551 is divided by 174?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-18) + (-644)\/(-18). Let n = c - 12. Suppose 3*j = 27 + n. List the prime factors of j.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:30 PM and 5:32 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by -7520.\nAnswer: -7\/7520","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - 128.2. Let d = a + 179. What is d rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5241044.2218748 - -5241046. Let j = a + -11.7781243. Let l = -10 - j. Round l to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1\/2 (c) -0.060503 (d) -1\/5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 176, 314, 550, 890, 1340, 1906?\n\"Answer: o**3 + 43*o**2 + 2*o + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*7*(-525)\/45. Let n = o - -81. Which is smaller: 0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*z - 433*z - 21*z.\nAnswer: -492*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23959*-2.\nAnswer: 47918","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9*(-3)\/(27\/(-6)). Let g be (3\/d)\/(2\/(-8)). Solve g*y = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -1819*z + 22. Let o be f(-2). Is o\/50*(-5)\/(-2) a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 1988*z + 7 + 130*z + 963*z to r*z + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 351250973?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3159907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2 + 2*v. Suppose 6 = o + 4. Let n be (63\/(-45) - 8\/(-20)) + 2. Let l(c) = c**2 - c. Determine n*r(t) + o*l(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 33, 4 in increasing order.\nAnswer: -5, 2, 4, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 30*c + 61. Let m be o(-9). Let v = m + 216. What is the remainder when 14*((-12)\/(-8) - 0) is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -148406808 less than or equal to -148406811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**2 - 31*a + 29. Give i(-33).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 0. Let c = -7 + 17. Let r = i + c. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*i - 24*i + d - 15, 3*d = -5*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12457936?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -a94e (base 16) to base 12\nAnswer: -210ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (21\/14 + 6)*76\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.52 + 27.18. Let a = t - 27.700137. What is a rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -41*p + 3. Let s(q) = -61*q + 4. Calculate -7*n(g) + 5*s(g).\nAnswer: -18*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.34 rounded to one dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p**3 - 177*p**2 + 2*p + 120. Let k be c(-59). Let q(t) be the second derivative of -34*t - 4*t**k - 1\/6*t**3 + 0. Determine q(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -142, -4, -2\/341, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*n**5*u + 113*n**5 - 2*n**2*u - 21*n**2 - 2*u - 45 wrt n?\nAnswer: -3000*n**2*u + 6780*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -607, -1146, -1841, -2692?\nAnswer: -3699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -76*2\/(-20)*5?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 17*w - 3*w - 17.\nAnswer: 14*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34420480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-140)\/(-175))\/(0 - 1\/(-204995)). Suppose k = 6*y - 7*y - p, -164012 = y - 3*p. Round y to the nearest 10000.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -13.5, 1\/68, 2.\nAnswer: -13.5, 1\/68, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -145*h + 151*h - 1362. List the prime factors of h.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 742 - 722. Solve -5*b + g = -i, i = 14*b - 13*b - 8 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the first derivative of -3*x**2\/2 + 9*x - 2. Let z be q(2). Factor 14*i**z + 8 + 30*i**3 - 34*i**3 - 14*i**2 - 8*i - 8*i.\nAnswer: 2*(i - 2)*(i + 1)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((32469\/2528)\/137)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35328 = 35333?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnzfunnununnbujnuuu. Give prob of sequence jz.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/4, 3384, -1\/2, -0.4 in descending order.\nAnswer: 3384, -0.4, -1\/2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68 divided by -68.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60977\/15 - -4065. What is the closest to -1 in -100, -1\/2, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 9 = 3*c, 2*c + 16 = -2*s + 38. Let d = s + -3. Solve 4*j = j + d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llleaelywwlleejwwj. What is prob of picking 1 j, 1 e, and 1 y?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 8 = 2*h, 2*n + 5 + 10 = 5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -847*k + 865*k - 126 = 0 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -12635, -50526, -113669, -202058, -315687?\n\"Answer: h**3 - 12632*h**2 - 2*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-64)*(-62464)\/(-92 + 60)\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -209.46 + 290.5. Let c = 20.8 - -62.2. Let x = c - d. Round x to one decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + (-7 - (1 + 3)) + (-3 - -6) + -53?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*w**4 + 3*w**3 - 11018*w + 3550641.\nAnswer: -8*w**3 + 9*w**2 - 11018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 112, 170, 228, 286, 344?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/6 - 3\/(-6). Let d(p) = 6 - p**3 + 3 - 10 - 2*p**2 - 2*p. Calculate d(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 7*j + 2. Let a be v(-7). Let o = -2 - -4. Find the first derivative of 0*m**a - 2*m**2 + 0*m**o + 1 wrt m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3*z**2 - 15*z + 4. Let p(m) = -m**2 + 5*m - 1. Let w be -19 + (5 - 5) - -2. Let j(h) = w*p(h) - 6*v(h). Give j(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 72*n**2 - 267*n + 347. Give v(-68).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 12:47 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 4 (c) 1\/3 (d) 0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20a + 6?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1389517?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 20 = 4*s, -5 = 2*b + s + 14. Suppose 5*f + 5*d - 19 = 31, -2*d = 5*f - 59. Let h = f + b. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2159 and 508?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - -2)\/(10\/(-11470)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*n**3 + 407*n**2 - 2988*n wrt n?\nAnswer: 12*n + 814","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 1) + -4 + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2179 + 1979 = -72*m + 198 for m.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*b - 2*b. Let d be (4\/(-54))\/((-5)\/30). Does d = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4122224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 14 + -48?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 6*i - i + 4, 3 = 3*i. Let p(d) = d**2 + 15*d - 3. Let o be p(f). Let j = 27 - o. Calculate the greatest common divisor of 28 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 224 and 1443632?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(19) + -2 + (sqrt(133)\/(sqrt(7)*3 + sqrt(7)))**2 + sqrt(19).\nAnswer: -93\/16 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2883059 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bp when two letters picked without replacement from {p: 4, x: 1, o: 2, b: 1, i: 6, l: 1}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -163961, -655813, -1475557, -2623193, -4098721?\n\"Answer: -163946*p**2 - 14*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3507539\/41540 - -5649\/67. Find the common denominator of 37\/3720 and l.\nAnswer: 3720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/18*36\/24. Which is the second biggest value? (a) -5 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2. Let p = 11 + -9. Let u(c) = -c - p*c + 5*c + 3*c. What is u(i(l))?\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(704) + (sqrt(704) - (sqrt(704) + -2)) + 4 - (0 + sqrt(704) - sqrt(704))*-3))**2.\nAnswer: 384*sqrt(11) + 2960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 4 - 3)*(-2*f + f - f) - 189 - 28*f + 189 + 2*f - 5*f + f to the form j*f + y and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13489?\nAnswer: 7, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -412 + -43421?\nAnswer: -44233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-2) + 26)*9*60\/(-270)\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-4) + -12*7\/(-112).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6033453 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + 9 + -15 + -16?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 19*j - 1939 + 2015 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 200 divide 15000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2941.979 + -40.121. Round x to the nearest one hundred.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-1)\/2 - (-490)\/4 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -41*i - 29. Let j be z(-2). Suppose -j = 2*q - 177. What is the remainder when q is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.92 - 0.08. Sort u, -14, -4, 0.2 in ascending order.\nAnswer: -14, u, -4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-428988)\/210)\/(24\/(-10) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*v - 0*v + 42. Solve 0 = -v*t + 1 + 8 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5 = -16. Suppose 2*b - 2*r - 4 = 0, -b + 3*r + 10 = 4*b. Suppose -b = -2*u - 0. What is the highest common factor of a and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that y**2\/2 - 37*y\/2 - 180 = 0.\nAnswer: -8, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, 3, 1204 in decreasing order.\nAnswer: 1204, 138, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 29*k**2 - 54*k + 3. Let c be x(27). Solve 6*a = c + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 59\/4 of a millennium?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.704 rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3000 by 8.\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43844396?\nAnswer: 2, 1627, 6737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + 2 - 2)*(2*w**3 - 3*w**3 - w**3) + (1 + 3 + 1)*(-3*w**4 - w**4 + 5*w**4).\nAnswer: 7*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*s + 26 = s, 4*y - 4*s = 76. Suppose -j = 2*j - y. What is the remainder when 18 is divided by (-4)\/j*50\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2583809?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3) - (-1 + 14). Let f = o + 199\/15. Is 0.2 less than or equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/60*25\/(-4). Let n = p - 25\/12. Find the common denominator of 73\/20 and n.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/4 and -65\/232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29 - z**5 - 27*z**2 + 6*z**3 + 25*z**2 - 14*z**3 wrt z?\nAnswer: -60*z**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5\/15)\/(2\/18). Solve -2*d - k*d = -5*m - 20, 3*m + 2*d + 12 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 40467801?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -384714431684.\nAnswer: -384714431687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39*k**4 - 2*k**3*p*x - 43*k**3*x - 2*k**2*p*x - 8*k**2*x + k*p + 27*x wrt k?\nAnswer: 936*k - 12*p*x - 258*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) 4 (b) -1\/3 (c) -5 (d) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/36874367 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 2*y. Let a = 67 - 59. Suppose 2*u + 5*h + 4 - a = 0, u + 3*h = 2. What is i(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -17 and 502594.\nAnswer: -8544098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (sqrt(85) + sqrt(85) + sqrt(85)*2*-6)) + 4*(sqrt(85) + sqrt(85) + -2*sqrt(85) + sqrt(85)))\/(-2*1*sqrt(500)).\nAnswer: -3*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 139089 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1132, 1823, 2508, 3187, 3860, 4527, 5188?\nAnswer: 5843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 1) + 0 - (-23 - -31 - 3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10899 divided by 21.\nAnswer: -519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*p - 61343, 2 = 2*p + 14. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/17 - -20\/51. Which is the nearest to 9? (a) x (b) 5 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (13 - 7 - 3)*4\/3. Suppose 6*t = n*t + 298. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/((-114156)\/(-16))*(-7)\/6. Is -1 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/5, 17 in increasing order.\nAnswer: -2\/5, 0.5, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/2)\/i**(-3)*i**(-5)*i**(-4)\/i assuming i is positive.\nAnswer: i**(-11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -38, 3, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -18*s + 20*s + 6, s + 3 = 4*r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 98561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 - 21*z**2 - 21*z - 17. Give v(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.2, 86.6866, 3\/2, 7?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*d)*(-2 + 1 + 2) + (-4*d + 3*d - d)*(1 - 5 - 3) + 4*d - 3*d + 0*d in the form z + b*d and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = o, o - 5 + 0 = -2*a. Suppose a*g - 3 = -g. What is the units digit of g\/(-2) + (-15)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -333 - -2721\/8. Which is smaller: 6 or n?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 + 6*x**2 + 3*x - 2. Let r be s(3). Factor -2*h**2 + 5*h**5 + r*h**4 - 3*h**5 - 5*h**4 - 2*h**3.\nAnswer: 2*h**2*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35, -268, -899, -2126, -4147?\n\"Answer: -33*r**3 - r**2 + r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -187855\/27 not equal to -6957?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*x = 201 - 396. Calculate the least common multiple of 262 and x.\nAnswer: 1310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11279 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 0 + 20*b**2 + 1\/3*b**3 + 17*b. Let a(f) = 2*f**2. Give t(a(d)).\nAnswer: 4*d**2 + 40","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -b**2 + 4*b**2 + 95*b**2.\nAnswer: 98*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1581 to the nearest 100.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -6*o. Let p be s(2). Let c = 8414\/2043 - 5\/681. What is the common denominator of (-6)\/4*(-292)\/p and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(342) + (sqrt(342) - sqrt(342)*-1) + sqrt(342))\/sqrt(9))\/(sqrt(2)*2*1) + -4.\nAnswer: -4 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**6\/120 - s**5\/12 - s**4\/24 + s**2 - 2. Let j(h) be the second derivative of u(h). Does 15 divide j(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8239692 decades in months?\nAnswer: 98.876304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - 0.5. Let x = 13.755 + -13.02. Let h = 0.535 - x. What is the nearest to -2 in h, o, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 3 + 0 + 15*p - 6*p - 12.\nAnswer: 10*p - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66) + -5*sqrt(66) + sqrt(66))\/sqrt(6) - ((sqrt(11) + 3 - sqrt(11)) + 0)) + 3)**2.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -64930*j**3 + 32458*j**3 + 32462*j**3 - j**2 + j**2 + j**3 + (3*j**2 - 4*j**2 + 3*j**2)*(4*j + j - 3*j) + 2*j**3 - j**3 - 3*j**3.\nAnswer: -7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 23) + -5 + 8 + -19?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 2, -4*g - 5 = -2*r + 3. Let n be ((-10)\/(-3))\/(r\/3). Let u(b) = 4*b**2 + 7*b - 8. Let z be u(1). Solve z*a = 11 - n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -319*j - 30 = -309*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 1)*(w - w - w) - 3 + 3 - w)*(2 - 5 + 5)*(-2*w + 0*w + 4*w).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -132*0.13\nAnswer: -17.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 237 + -225. What is the greatest common divisor of s and 1524?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 10, -1 = 3*l + 4*n + 4. Let b(i) = 2*i + 3. Let t be b(-2). Let w be 1\/t - (-32)\/8. Solve 0*p + 3*j = l*p + 17, w*p + 5*j + 17 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.5 + 4.5. Let l = 3 + 0. Is l < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79376851 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2078841 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 586 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 63*q**2 + 2*q + 237. Let r(s) = 124*s**2 + 5*s + 474. Let p(l) = -2*r(l) + 5*v(l). Find the first derivative of p(g) wrt g.\nAnswer: 134*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3029*r + 3161*r = -2508 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1532\/40 + -17)*10\/(-36) and -23\/36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 + 17*n + 3. Let b be p(17). Suppose -3*u - 4*s + 67 = 0, s + b*s + 69 = 5*u. What is the remainder when u is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20267, -20260, -20249, -20234, -20215, -20192, -20165?\n\"Answer: 2*v**2 + v - 20270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + 424\/(-100))\/(6\/(-10)). Suppose 1 = -2*q - 1. Let k = 3.02 - 0.02. Which is the nearest to k? (a) q (b) m (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 475 - 478. What is the smallest value in -1, a, -0.2, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1264700 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 3\/4 (c) -103 (d) 22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 + -17.05. Let t = -12 - j. Which is the nearest to 3\/4? (a) t (b) -0.5 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2634804 less than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.205 + 0.13. Round g to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136495?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - 38\/(2\/(-1)). What is the greatest common factor of s and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 7) in base 16?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-2\/27)*w**(11\/6)*w*((w\/(w**(-2\/35)*w))\/w)**(-2\/91) assuming w is positive.\nAnswer: w**(650119\/171990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 565*s - 4004. What is j(7)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 150035340244 + 1?\nAnswer: 150035340245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**4\/9 - 45766*s**3\/9 + 2850454*s**2\/3 - 45499754*s + 87239580 = 0.\nAnswer: 2, 93, 22695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1157, 1\/4, 5.9 in descending order.\nAnswer: 1157, 5.9, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - ((1 - 58) + -1). Let k(u) = -u**3 + 6*u**2 - 2*u - 4. Let x be k(5). What is the highest common factor of x and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -10*r**2. Let d(z) = -4*z**2. Let h(j) = -5*c(j) + 12*d(j). Let y(i) = -247*i + 247*i + 4 + i**2. Calculate h(y(m)).\nAnswer: 2*m**4 + 16*m**2 + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 51 = -w, -5*w + 133 = -3*v - 135. Suppose 3*z + 3*k + 30 = 0, 4*z - 2*k + w + 17 = 0. Let d = -1 - z. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290436185.\nAnswer: 5, 13, 19, 235171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -2 (c) 0.05 (d) -199 (e) 2 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0.11, -2\/3, -1.1 in decreasing order.\nAnswer: 0.3, 0.11, -2\/3, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1665 and 360?\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 107008.\nAnswer: -1\/107008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -s**3 - 83*s**2 + 2944*s - 2860 = 0?\nAnswer: -110, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (522\/(-45))\/((72\/(-2160))\/((-2)\/24)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 - 1249*w + 2494.\nAnswer: (w - 1247)*(w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 792867?\nAnswer: 3, 264289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*f - 5. Let h = -2837\/2 + 1419. Which is the second biggest value? (a) 2\/5 (b) h (c) 2\/11 (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 294 = 35*s - 25. What is the nearest to -1 in -20, s, -3\/2, 0?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.5 from -18.4114.\nAnswer: -17.9114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -327.8 times 0.00294?\nAnswer: -0.963732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (100527\/(-574440))\/((-7)\/20).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/4)\/f**(3\/7)*f**4*f*f*f**(2\/9) assuming f is positive.\nAnswer: f**(1397\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1\/11, -2, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68831?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-140)\/315*6\/10*8\/(-16).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 2:24 AM?\nAnswer: 1:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/17 + 2828*g**2\/17 + 5650*g\/17 + 2824\/17.\nAnswer: 2*(g + 1)**2*(g + 1412)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 4)*(5*n**4 + 0*n**4 - 3*n**4) + (0*n + 4*n - 3*n)*(5*n**3 - n**3 - 2*n**3) - n**4 + 2*n - 2*n.\nAnswer: -n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 8*x - 1. Let y be v(-1). Let b(o) = -2*o**2 + 3*o - 1. Let k be b(4). Let t = y - k. Calculate the highest common factor of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 4*t - 21 + 68, -3*t - 23 = 2*l. Does 14 divide 10\/3*7\/(l\/(-45))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Suppose p = 3*a + 24, b*a = 4*p - 21 - 3. Let k = 18 + a. What is the highest common factor of 25 and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-38 + 24 - 26)*(-4*d**2 + 4*d**2 + d**2)*(4*d + 0*d - 2*d) as s*d**3 + n + r*d + g*d**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 22\/5? (a) -4 (b) 1.4 (c) 0.2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/1538437, 23, -3 in ascending order.\nAnswer: -3, 2\/1538437, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 11) in base 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/80*4880\/(-59292).\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 53\/4 of a kilogram?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/(-20))\/((126\/(-16))\/(-3))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*z - 2. Let d be (2 + -1)\/(-5 - 144\/(-28)). Suppose -60 = 4*h - d*h. Solve -z*f - h = -7*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29271 minus 48.54121?\nAnswer: 29222.45879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (27*t**3 + 21*t - 24*t**2 - 25*t**3 - 19*t)*(2 + 2 + 0) to z*t + f*t**3 + i*t**2 + h and give i.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 10) to base 9\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - 11*p**2 - 9*p - 3. Let i(q) = -9*q**2 - 2*q - 1. Let n be i(1). What is the tens digit of x(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 343, 328, 267, 130, -113, -492, -1037, -1778?\n\"Answer: -5*k**3 + 7*k**2 - k + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 + 14 - (15 - 1)) + (-165 - -147)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**14*c)\/c)\/(c\/c**2))\/(c*c**(3\/4)\/c)**(-1\/28) assuming c is positive.\nAnswer: c**(1683\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 4:36 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2 = 2*v, 2*o + 0*v - v - 5 = 0. Let s(c) = 4*c - o*c - 2*c + 1. Calculate the remainder when 19 is divided by s(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2018, -7768, -17270, -30524, -47530, -68288?\n\"Answer: -1876*o**2 - 122*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 83, -0.982, -1.3, -1\/4 in increasing order.\nAnswer: -1.3, -0.982, -1\/4, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((4*(sqrt(119) - sqrt(119)*2))\/sqrt(7) - sqrt(68)\/sqrt(4)*-5*5).\nAnswer: 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h - 0*h - 2*h. Suppose 2*t = -c + 8, 0 - 12 = -4*c + 2*t. Let a(d) = -d**2 - 6*d - 2. Let v be a(-4). Sort h, v, c in decreasing order.\nAnswer: v, c, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/24)\/((-6 + 4)\/(-4)). Which is the closest to -2? (a) f (b) -0.5 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.066 + -0.066. Let c = z + -13. What is the biggest value in c, 1\/4, -2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 5 + -143 + 146.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of s**5\/60 + s**4\/24 + s**3 + 2*s**2. Let i be x(0). Solve b + 2*b - i = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 23 + 6660?\nAnswer: 10013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 8*g + 19. Let u be b(-10). Let v be 4 - ((-14)\/(-42) - u\/(-3)). Suppose -3*m + 2304 = -x, m - 3080 = -3*m + v*x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 5*h**4\/4 - 2*h**3\/3 + 6. Find the third derivative of u(m) wrt m.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 5 = -4*y + 3, -2*y + 14 = 4*u for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-nine thirds of a week?\nAnswer: 1624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 176\/((-12)\/(-3))*-62*756\/(-36828).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 444 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1133524 and 224.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29834038?\nAnswer: 2, 13, 1147463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 11, 2, 2\/9, 1\/4 in decreasing order.\nAnswer: 11, 2, 1\/4, 2\/9, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.016543 or -2\/7?\nAnswer: -0.016543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrlkrpkrpupkrpkurrkk. Give prob of sequence rlru.\nAnswer: 7\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16799402?\nAnswer: 2, 8399701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2897048 - -1\nAnswer: -2897047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(6\/5))**(24\/11)\/(s**32\/(s\/(s*s*s**9\/s*s))) assuming s is positive.\nAnswer: s**(-2166\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*(-7)\/644 - (-168)\/1242?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 134\/201*(6 + 9\/(-4)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 42\/(-5) + 4\/10. Let q be 12\/3*12\/a. Does 10 divide (-732)\/(-36) + 2\/q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20034\/(-3816))\/((2\/8)\/1).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 158*l + 1337. Give a(-15).\nAnswer: -1033","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.7 + -5899.\nAnswer: -5894.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382*f**2 + 28 - 362*f**2 - 15 + 729*f**2 - 27.\nAnswer: -15*f**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 15*v + 3. Let m(j) = 2*j**2 + 17*j - 3. Let f(w) = 2*m(w) + 3*p(w). What are the prime factors of f(-8)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55192*q = 55175*q + 1062245. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-6)\/y)\/((y**9\/y)\/y))**(5\/11))**34 assuming y is positive.\nAnswer: y**(-2380\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + 3 - (-106 + 117)) + (39 - 5).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 13, -15, -135, 0, 4 in decreasing order.\nAnswer: 13, 4, 2, 0, -15, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2821, -6124, -9427, -12730?\nAnswer: -16033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, -49, 4, 2.4, 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/16 of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*t. Suppose t = i + 4 - 1. Let z(r) = -r**3 - 5*r**2 - 2*r - 2. Give z(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a**2 + 85*a - 43. Let z be h(6). What is the highest common divisor of 559 and z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 400?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27 + -23. Suppose 4*d + 26 = -5*s, -d = k*d + 20. Which is the second smallest value? (a) 1 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**4 - 6808*v**3 - 11627992*v**2 - 138801504*v - 415670544.\nAnswer: -(v + 6)**2*(v + 3398)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4\/7*y**4 + 8\/7*y + 4\/7*y**2 - 8\/7*y**3 + 0.\nAnswer: -4*y*(y - 1)*(y + 1)*(y + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-1*sqrt(119) + sqrt(119) - (sqrt(119) - (sqrt(119) - (sqrt(119)*-2 + sqrt(119)))*1))*6)\/((1*sqrt(84)*6)\/(sqrt(96)\/(sqrt(24)\/sqrt(3)))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqyqeeeyyeerryjqe. What is prob of picking 2 e and 1 j?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 6. Solve k*w = 4*w + 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.03949509 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u + 2*u + 0*u + (0 - 4 + 2)*(2*u - u - 2*u) + 3*u - 3*u + 3*u + 1 - 1 + 3*u.\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42400 and 23108?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 40 + 504\/5*x.\nAnswer: -2*(x - 50)*(5*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 6*y - 9*k - 10 + 5 = 28, -2*y = -5*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.6308mg in micrograms?\nAnswer: 30630.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 140422, 280844, 421266, 561688, 702110?\n\"Answer: 140422*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 232, 709, 1446, 2455, 3748, 5337?\nAnswer: 7234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 2*r**2 - r**4 + (2 - 2*r - 2)*(3*r**3 + 0*r**3 - 2*r**3) + (-4 - 27 - 9)*(5 - 5 + 2*r**4).\nAnswer: -83*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 9*c**5\/20 - 15*c**4\/8 - 9*c**3\/4 + 3*c**2\/2 - 93. Suppose z(m) = 0. Calculate m.\nAnswer: -1, 0, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -802*v = 19137*v - 1256157 for v.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 4. Let j(m) = -211*m + 13. Let t(b) = -j(b) + 5*p(b). Is t(3) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/81914, 5\/8, -1\/5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 814 is divided by 37?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-31)\/(-6) + -3*4\/72. Is (-345)\/(a - 10) + -2 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 5 + 15. Let i = 6 + -3. Suppose 0 = -3*d - 9 - i. Sort x, d, -1.\nAnswer: x, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 14. Calculate z(-22).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 2*u**2 + 3*u - 13. Let m be d(-4). Let x be (m + 852 - 2) + 2. Round x to the nearest ten.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3 + 6*u**2 - 2898*u - 45494 = 0. What is u?\nAnswer: -23, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 - 64*b**2 + 310*b**2 - 54 - b**3.\nAnswer: -b**3 + 246*b**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 3*r**2 - 4. Let a(p) = -p - 4. Let l(z) = -z + 4. Let g be l(4). Let o be a(g). What is the units digit of n(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(200) + sqrt(200)) + sqrt(200)*-2 + -3)**2 + (0 + sqrt(200)*-5)**2*5.\nAnswer: 480*sqrt(2) + 37809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 - n + 6 - 32.\nAnswer: -n - 51","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3299708 and 144162.\nAnswer: 29697372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - (-2)\/(-8)*0. Suppose 4*v = -0*v - 3*b + 119, 149 = s*v + 4*b. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2580\/325940*379)\/(3*(-1)\/(-83)).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4510\/19 <= 236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9214 is divided by 105?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 30 - 2. Let k = -24 + q. Which is smaller: 2 or k?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 6*z**2. Let r(b) be the second derivative of -b**4\/12 - b**3\/6 + b**2\/2 + 2*b. Let s(q) = 2*q - 2. Let v(f) = 2*r(f) + s(f). Calculate w(v(p)).\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 18 = -18*s + 20*s, 20*s + 3*k + 27 = 19*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309400?\nAnswer: 2, 5, 7, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -12*i**5\/5 + 19*i**4\/4 + 433*i**3 + 1342. What is the third derivative of a(t) wrt t?\nAnswer: -288*t + 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (62 - 109\/((-15260)\/(-8640)))\/(2\/(-266)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2875*p**3*s**4 - 1522*p**3*s**2 - 13*p*s**2 + s**6 wrt s.\nAnswer: -69000*p**3*s + 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84808 - 5*s - 171051 + 86243.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**2*((n**(-6\/5)*n)\/n)\/n assuming n is positive.\nAnswer: n**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 2 + 4\/2. Suppose 5*a = 38 - 13. Suppose -a*c - 12 + 32 = 0. Sort c, -1\/6, m in increasing order.\nAnswer: -1\/6, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10617123364.2559905 - -10613357837.056. Let n = s + 3765442.2. Let v = n - -85. Round v to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 6:06 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wcgjcwwccwwccc. Give prob of sequence gc.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4595908133 to the power of 1\/3, to the nearest integer?\nAnswer: 1663","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 5*u - 21, 17 = 22*f - 23*f + 4*u for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3 + 5 - 1 + 4*n + n**3 - 5*n**2. Let m be j(4). Solve -5 = -c - m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26807, 26712, 26619, 26528, 26439?\nAnswer: 26352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 40455 divided by 1395?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = q - 124. Suppose 10*i = 13*i - q. What is the remainder when 87 is divided by i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f + 5*f + 26*f - 2 - 2*f**2 in the form i + q*f**2 + c*f and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -1110?\nAnswer: -1115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/3 - 22828*t**2\/3 - 21789126*t - 432744120.\nAnswer: -2*(t + 20)*(t + 5697)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15689, 4 in descending order.\nAnswer: 4, -2, -15689","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -1. Let i(n) = n - 2. Let p(t) = -i(t) + 2*m(t). Let k(x) = -x**2 - 18*x + 24. Let q be k(-19). Let o(f) = 0 - q*f + 2 - 2. Determine o(p(g)).\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*y + 3*t, 3*t + 5 = -4*y - 8. Which is smaller: y or -2\/107?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -184 - 623.705398605.\nAnswer: -807.705398605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 5*l - 10. Does 15 divide s(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1293865.\nAnswer: 5, 23, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-96)\/(-30))\/(2\/5). Let o be 240\/(-1)*(-300000)\/i. What is o rounded to the nearest 1000000?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -489 + 489. Put 11, h, -2, -79 in decreasing order.\nAnswer: 11, h, -2, -79","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -210*f - 6922. What is v(-33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3 - 626*n + 938*n - 315*n. Suppose 2*f - f = 25. Suppose -4*p + 3*h = 2*h - f, 5*p - 5 = -4*h. Let b(c) = c - 1. Calculate p*b(k) + 2*z(k).\nAnswer: -k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 53415018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.64828 millennia to decades.\nAnswer: 364.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from zzuuspu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9630, 19245, 28856, 38463?\nAnswer: 48066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4491*o - 202099. Give x(-45).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2243 by -111.\nAnswer: -2243\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.527896 rounded to 1 dp?\nAnswer: 8.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 3:41 PM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*z + 78 - 141 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 + y**2 + 4*y + 3. What is b(4)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/(-10)*(-5 + 9). Are -4 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven eighths of a milligram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 70.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 - 177*l + 4364. Calculate j(22).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 105796378?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 9 + 24. Suppose s - b = 0, -21*r + 4*s + 3490 = -18*r. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 7. Suppose a = -0*x + 5*x - 25. Suppose x*q = 8*q - 111. Does 18 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3026*l**3 + 794*l**2 + 6765091*l wrt l.\nAnswer: 18156*l + 1588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 910, -507.1, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -13. What is the remainder when o*1 - (-49 + -33) is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -290 - -290. Let s be ((-18)\/21 + (1 - l))*-2. Which is the biggest value? (a) 2 (b) s (c) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 78 and 14846.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1922, 1921, 1920?\n\"Answer: -l + 1923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 6, c: 4, u: 3}?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 7:27 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(2*x**2 + 2*x**2 - 2*x**2) + 229*x**2 + 718*x**2 + 60*x**2 to the form f*x + y + q*x**2 and give q.\nAnswer: 1003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150701 is divided by 6779?\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -2\/9 (b) -4 (c) 5 (d) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2160)*-3)\/(sqrt(1452) - 5*-2*sqrt(1452)).\nAnswer: -36*sqrt(5)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -10, -1, 0.\nAnswer: -10, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190705 is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.507 - 35612.45?\nAnswer: -35611.943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 444124489 to the nearest integer?\nAnswer: 763","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3 + 46*n**2 - 152*n + 104.\nAnswer: 2*(n - 2)*(n - 1)*(n + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*x + 2*c, -5*x - 3 = c + 2. Suppose -3*a - 11 = -5*s - 6*a, -2*a - 6 = x. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 282568 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/3))**(-18)*(v**1)**(-25))**(-3\/25) assuming v is positive.\nAnswer: v**(57\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 13a3995 + -3?\nAnswer: 13a3992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 5589*o - 100600. Calculate s(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 15, 4, -3\/2, -4\/7, -38.2, 0.03?\nAnswer: -38.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34598436, 69196877, 103795318?\n\"Answer: 34598441*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 3:37 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 2) + (-2 - (-1 - 1))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/21)\/((-24)\/84).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 4 = 13*s - 10*s, -3*s = -5*o - 10. Let a be (-70)\/(-12) + o\/(-12). Solve a = 2*l - 0*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 280515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iibibiiiiii. What is prob of picking 2 i and 1 b?\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1574 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.98 - 1. Let g = 0.08 - c. Let m = -4\/21 - -6\/7. What is the biggest value in -4, g, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2275 is divided by 570\/(-1045) + ((-1)\/(-2) - (-10101)\/66)?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 39 + -18. Let g = -75.2 + 86. Let v = g - 10.4. Sort -5, 1, a, v in ascending order.\nAnswer: -5, v, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -23*i**2 + 17*i. Let y(z) = 4*z**2 - 3*z. Let x(n) = -6*g(n) - 34*y(n). Let s(d) = 452*d - 452*d + 0*d**2 + d**2. Calculate x(s(h)).\nAnswer: 2*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1479?\nAnswer: 3, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 10) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of z**8\/1008 - 38*z**7\/315 - 2900*z**2. Find l, given that q(l) = 0.\nAnswer: 0, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnn when three letters picked without replacement from {q: 3, l: 5, m: 4, n: 4}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 295738045?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 169 and 126919.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 5. Let q = 6.0000081 - y. What is q rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122790?\nAnswer: 2, 3, 5, 4093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88 + 57 - -22) + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*k = -277 - 187. Sort 0, 2, k, -27 in increasing order.\nAnswer: -27, k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -3*x**2 + 792*x - 1572 = 0.\nAnswer: 2, 262","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.110744 to two dps.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6412339861?\nAnswer: 47, 79, 1726997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 516734445 a multiple of 267?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 4*y + 8. Let c(n) = n**2 + 4*n - 8. Let p be c(y). Let j(h) be the second derivative of -h**4\/12 + h**3\/2 + 5*h**2\/2 + 808*h. Calculate j(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 4*v**2 + 4*v + 2. Let a be u(-3). Suppose d + 2 = 3*d. Calculate the remainder when 42 is divided by -1*22\/(a\/d).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -22\/5, 0.3, -0.0901, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2200 divided by -10.\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1996*i**3*n*v - 105*i**3*n + i**3*v + 5*i**3 - 3*i**2*n + 8*n*v - 1445*v wrt i.\nAnswer: -11976*n*v - 630*n + 6*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/27*3*-8*81\/(-180).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 292*l**2. Let d(n) = 145587*n. Determine d(c(k)).\nAnswer: 42511404*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - -3. What is the third derivative of 7*o**2 - 3 - r*o**5 + 3 - 6*o**2 wrt o?\nAnswer: -180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -147463\/53 greater than -2781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669647 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of 27*m**6\/40 + 3*m**5\/80 - 27*m**4\/16 - m**3\/8 + 105*m. What is d in l(d) = 0?\nAnswer: -1, -1\/27, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1740883.\nAnswer: 503, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r + 1. Suppose -s + 1 + 6 = 0. Let j be l(s). What is the tens digit of (-68)\/j - 6\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1078, 1083, 1084, 1087, 1098, 1123?\n\"Answer: y**3 - 8*y**2 + 22*y + 1063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -20?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 86 in 1\/4, -5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 755, 5988, 20211, 47918, 93603?\n\"Answer: 749*r**3 + r**2 - 13*r + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - 1. Let w = -69 - -70. Sort 5, w, a.\nAnswer: a, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d + r + 6*r - 159 - 63 = -4*d, -3*d - 4*r = -148 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4.66 and -530.4258274.\nAnswer: -525.7658274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5949*k**2 - 21*k + 33. Is d(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 4, -1\/5, -7669?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -1, 4, -315, 2, 0.057?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83803310\/36523165 + (-32)\/14?\nAnswer: 2\/227","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.4 - -0.5. Let d = 41.86 - 0.86. Let n = d - 43. Sort n, f, 4 in decreasing order.\nAnswer: 4, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*q**4 + 54370*c*q**3 + 3*c*q**2 - 807*c*q + 2*c - 37*q**4 + 5*q**2 + 391 wrt q.\nAnswer: 48*c*q + 326220*c - 888*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**3)**(-8) assuming g is positive.\nAnswer: g**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1197)\/931*21\/(-45)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 3:34 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1967627349?\nAnswer: 3, 72875087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 1:38 AM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - d + 105. Let m be z(0). Suppose 8*f = 3*f + m. Suppose -5*w + 2*y = 9 - 40, 0 = 3*w - 2*y - f. Sort -5, w, 1 in increasing order.\nAnswer: -5, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.1 + 7.1. Sort -2\/17, -3\/5, k, 4 in ascending order.\nAnswer: -3\/5, -2\/17, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 359 = 4*k + 55. Suppose 0 = -6*y + 2*y + k. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12200208807.7 and -8.5.\nAnswer: 12200208799.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11580 is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-6)\/(-9))\/(3\/18))\/(-2). Put -3, -5, -4, y in increasing order.\nAnswer: -5, -4, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(1\/(21\/1092*-20)).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 70, 149, 260?\nAnswer: 403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 107519946?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -9*p**3 - 60*p**2 + 87*p - 96. Calculate y(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ecaaatsattt. Give prob of sequence ce.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -333 + 103324?\nAnswer: 102441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 6*q**2 - 8*q - 6. Let u be s(-7). Suppose 2*n + 2*x = -n + u, 5*n - 27 = 3*x. Calculate the remainder when 5 is divided by n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f and 1 h when four letters picked without replacement from ffhhfhhhhhfhhh?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 826956?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2 + 21052*k - 42112.\nAnswer: 2*(k - 2)*(k + 10528)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2605102 is divided by 289453?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -22, 15469, 3, 4 in decreasing order.\nAnswer: 15469, 5, 4, 3, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3661694 a multiple of 422?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 4105869124 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (84\/80 - 1)*-4. Let y = 46 - 18. What is the third smallest value in m, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11525393*-23\nAnswer: 265084039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -179029 and -74644.\nAnswer: -253673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**4\/4 - 5*x**3\/3 + 3*x**2\/2 - 7*x + 69. Calculate u(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 797\nAnswer: -5\/797","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -522*v**2 - 38*v**5 + 522*v**2 + (0*v**5 + v**5 + 0*v**5)*(-2 + 5 - 2).\nAnswer: -37*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7753\/1918 + -4\/137. Let t be -3*((-15)\/9 - -3). Find the common denominator of u and t\/9*290\/16.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5159, -4, 3, -92 in decreasing order.\nAnswer: 5159, 3, -4, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 10:51 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1915 - 8702 = -300*n - 1917 for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*t**2 + 1162*t**2 - 2*t + 190*t**2 + 83*t**2 to h + n*t + d*t**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 2)*(4*f - 4*f - f**4)*(7 - 37 - 6) to the form l*f**3 + g + o*f**2 + i*f + u*f**4 and give u.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -18*q**2 + 27 + 90*q**2 - 14 + q - 9 - 7 in the form o*q**2 + v + c*q and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u - 3. Let z(g) = -4*g + 3. Let l(b) = 5*n(b) + 6*z(b). Let j be (-20)\/((-15)\/(-3)) - (-4 - 1). Suppose -13*h + j - 27 = 0. Give l(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + (-6)\/(8\/(-4)). Suppose v*z + 3 = -4*i - 1, -2*z = i - 2. What is the second derivative of -3*m**3 - 9*m**4 + 3*m**z + 3*m wrt m?\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 14*k**5\/9 - 34*k**4\/3 + 224*k**3\/9 - 56*k**2\/3 + 32*k\/9 = 0.\nAnswer: 0, 2\/7, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**3 + 706*t - 55*t**2 + 55*t**2 - 9*t.\nAnswer: 2*t**3 + 697*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 145550?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, p: 7}. What is prob of sequence qppp?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/3, -4, 25.87, 3?\nAnswer: 25.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of 1\/2*j**2 + 0 + 3*j - 5\/3*j**3. Does 5 divide s(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587702 divided by -910?\nAnswer: -293851\/455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3 = 3*a, -a - a = 4*g - 26. Is g a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 + -82.78. Let w = p + -0.22. Let a be 58 - 66 - (-180)\/22. Put w, a, 1\/6 in descending order.\nAnswer: a, 1\/6, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2541 and 114587?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-1) - 25\/(-5). Suppose 0 = -0*b + 2*b + 3*v - 29, -3*v + 61 = i*b. Suppose -3*o + u - b = -7*o, 3*u - 12 = 0. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**3\/3 - n. Let a(q) = 16*q. What is h(a(t))?\nAnswer: -32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -28*t**2 + 6*t + 9. Let x(a) = 84*a**2 - 17*a - 26. Calculate 17*k(c) + 6*x(c).\nAnswer: 28*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2132 and 492.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2327869?\nAnswer: 2327869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 37. Let i(v) = 2*v**2 - 6*v - 132. Let k be i(10). Calculate the highest common divisor of k and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 32100 + -10812. Is 45 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, 0, -5, 5.\nAnswer: -5, 0, 5, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -35.20232 * -5.\nAnswer: 176.0116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64011 + 21559. Let k = 294660\/7 + p. Let v = k - -366. Calculate the common denominator of 3\/5 and v.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g + 3 = -23*g - 4*r, 0 = 2*r - 6. Which is the closest to 0? (a) 28 (b) g (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 2. Let v = -18.5 + 22.5. What is the nearest to 0.2 in v, w, 0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 49, 187, 421, 757, 1201, 1759, 2437, 3241?\n\"Answer: l**3 + 42*l**2 + 5*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3)*-2*-3 + (sqrt(18)*1)\/sqrt(6).\nAnswer: 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000110011001110000111 (base 2) to base 14.\nAnswer: -440a23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(-200)*(-2)\/2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - 6*f**2 - 4*f - 7. Suppose 0*p = 4*p + 24. Let a be l(p). Find the third derivative of -5*w - a*w**3 + 5*w - 16*w**2 wrt w.\nAnswer: -102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 5*i + 5. Let t be c(-5). Let h = -20 - t. Suppose q - 11 = -3*a, h = a - 2*q + q - 1. What is the greatest common divisor of 15 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.299454 micrometers?\nAnswer: 0.001299454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67062459 to the nearest integer?\nAnswer: 8189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73184 by -2.\nAnswer: 36592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**5\/2 - 9465*u**4 - 453479*u**3 - 5872854*u**2 - 20846257*u\/2 - 4994289 = 0 for u.\nAnswer: -18882, -23, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, -6, 5, 47 in increasing order.\nAnswer: -6, -3, 3, 5, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i - 4*i + 2*i - 3*i + 0*i + i + (0 - 3 + 1)*(-5 + i + 5) + (2 + 1 - 2)*(i - 2*i + 3*i) + 33 - 33 + 121*i.\nAnswer: 120*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 178049 and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l, 4*y = -0*l + 5*l + 28. Suppose w - y + 1 = 0. What is the lowest common multiple of w and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 b when three letters picked without replacement from qwlkbkkmlkwblmkklkkl.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -79, 3, 6, -6, -3 in increasing order.\nAnswer: -79, -6, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 116345487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/g**5)**(4\/21)*(g**(-7))**(-39))**29 assuming g is positive.\nAnswer: g**(166025\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/9 - 2*y**3 + 18*y**2 - 262*y\/9 + 40\/3 = 0. Calculate y.\nAnswer: -15, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5071112 (base 8) in base 3?\nAnswer: -2112002002211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 1. Let n = -0.0594 + -4.9406. Which is the second biggest value? (a) 0.1 (b) n (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 89*n**2 + 54*n + 4. Let q(g) = -43*g**2 - 26*g - 2. Determine -6*f(s) - 13*q(s).\nAnswer: 25*s**2 + 14*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (36\/81)\/((-4)\/6). Suppose -2*y = 3*y + 15. What is the closest to d in -4, y, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**3 + 0*w**3 - 2*w**3 + (3*w - 3*w + 2*w)*(219*w + 12*w**2 - 219*w))*(-2 - 1 + 4) in the form b + m*w**3 + k*w + d*w**2 and give m.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 (base 8) in base 16?\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (4 - 2 - 63). Suppose -3*u = -0*u + w + 72, 0 = 2*u - 4*w + z. What is the remainder when 16 is divided by ((-10)\/u)\/((-2)\/(-30))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - 10 - (-4 - ((-7 - -6) + -24))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from peueyerrttpyyrrp. Give prob of sequence ypu.\nAnswer: 3\/1120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 333 = -37*u + 5*i, 121*u - 120*u + 3*i + 3 + 6 = 0 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 612711 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, -0.1, -0.81201 in descending order.\nAnswer: 1, -0.1, -0.2, -0.81201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/((-504)\/16)*-12?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+553.4\nAnswer: 553.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 3*l - 4. Let z be a(4). Suppose 0 = u - 4*g + 54, -4*u = u - 4*g + 238. Let s be (-16)\/20 - u\/45. Which is smaller: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 1 + 1)*(-q + 4*q - 4*q) + 8*q**2 - 8*q**2 + 6*q**2 + (-3 + q**2 + 3)*(1 - 4 + 5) + 3*q**2 - 3*q**2 - q**2.\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -67, -258, -569, -1000, -1551?\nAnswer: -2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106665183 or 106665182?\nAnswer: 106665182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 10*w - 178. What is o(19)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2 = -13, -4*p - w - 1 = 0. What is the smallest value in 0, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15401 divided by -4.\nAnswer: -15401\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 13, -14, 3, 1 in decreasing order.\nAnswer: 13, 9, 3, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 190171369.\nAnswer: 5657, 33617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6352, -7.1, -3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(6\/(-9)*-1). Solve h*f = 2*f + 4 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*z + 18*z = -45. Suppose 0 = -z*f - 3*f + 228. Calculate the remainder when f is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22 + 48. Let m = s - -21. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y = -20*y + 72. Suppose -11 = -l - 3*d, -6*l - y = -9*l - 2*d. Solve -i = -l*i + 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**2)**(-15)\/((a\/(a\/(a\/(a*a**12))))\/(a*a**(-2\/3))) assuming a is positive.\nAnswer: a**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 379 = u + 6*m - 1637, -4*m = u - 2016. What is the greatest common divisor of 6 and u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - h + h - 26 - h.\nAnswer: 2*h - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/13 (b) -3 (c) 0.4 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p - 2*p - p**2 + (-1 + 1 + p)*(0*p + 3*p - p) + (-p + p - p)*(-p - 2 + 2) + p**2 - 2*p**2 + 3*p**2 to i + q*p + t*p**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -t - 4*t + 3*t + 5*t.\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*s + 13, -3*o - 1 = s + 2*o. Let w be 18\/27*6\/s. Which is the third biggest value? (a) 3\/4 (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*b = -767 - 2565 for b.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 313*l - 313*l + 622*l - 7.\nAnswer: -4*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 803661.\nAnswer: 3, 267887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 25, -16*c + 3*d = -12*c + 35. Let y(v) = 2*v**2 + 10*v + 10. Let b be y(c). Solve 12*z = b*z + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*v = -74*v + 45 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 888256?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (24 - 14) - (-8 - -3).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 6*v**2 + 91*v - 1065. What is z(9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46 + 7 - (-172 + 152)) + -5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttt. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-14))\/((216\/14)\/9)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242297?\nAnswer: 11, 22027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6*(2 - 4\/3). Let d = 6 - 27\/5. Which is the third smallest value? (a) d (b) 0.4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i. Let m = -5 - -2. Let w(f) = f. Let n(p) = -35*p. Let d(l) = m*n(l) - 120*w(l). What is d(v(k))?\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j + 2*j + 34*j)*(6 - 1 + 0)*(0*j - 7*j + 2*j).\nAnswer: -1125*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68 - (-16 + -41 + 91)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -13*f + 5. Let u(z) = -32*z + 12. Let g(v) = -12*m(v) + 5*u(v). Let d(s) be the second derivative of -s**4\/12 - 327*s. What is g(d(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1661 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -4, -5 in increasing order.\nAnswer: -5, -4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6428257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7821 - 7821 + 8040*t**2.\nAnswer: 8040*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16161114103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 3:15 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.2, -3, -260, -1 in descending order.\nAnswer: 0.2, -0.1, -1, -3, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -3 + 4 - 13 + 4 + p + 7. Let s = 39 - 26. Let j be d(s). Which is bigger: 13 or j?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.0783? (a) -1 (b) 5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 743111*z**3 - 540195 wrt z.\nAnswer: 2229333*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -43 or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 22532630 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3009327186?\nAnswer: 2, 3, 47, 349, 30577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(3) + -5 + (sqrt(3) - 2*sqrt(192)).\nAnswer: -14*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 9*b**2 + 9*b + 10. Let n be j(8). Is ((-3)\/2)\/(n\/(-48)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10.013 - 0.013. Which is the closest to -2\/5? (a) 1 (b) x (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + 2. Let b be (-10)\/6 - o\/(-6). Let m(s) be the second derivative of -5*s**4\/12 - s**3\/3 - s**2\/2 + 7*s. Give m(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h + 20 = 2*l + 28*h, -828 = -3*l + 272*h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.03 (c) -141\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 6, 117, -1031, -4, -7 in decreasing order.\nAnswer: 117, 6, 5, 1, -4, -7, -1031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - 19 - ((11 - 4 - 0) + -10).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 3*d - 4. What is g(-7)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 55, -5 in increasing order.\nAnswer: -5, 6, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -d - 39. Calculate the lowest common multiple of d and 13.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-1 + 2*j + 1)*((-1 + 2 - 3)*(3 + 2 - 3)*(j + 3*j - 2*j + (-1 + 3 - 3)*(-2*j + 2*j - 2*j) + 7572*j + 7498*j - 15262*j) + 3*j + 3*j - 5*j).\nAnswer: 3012*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (4510\/328)\/5 + (-386)\/152?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 120903 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*s + 3*s + 933*s**2 - 840*s**2 in the form g*s + u + p*s**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h = -13*h + 203. Let b(y) = y**2 + 7*y + 15. Calculate the least common multiple of h and b(-5).\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 9 and 5503\/29 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by 98.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - w**2 - 4*w**2)*(2142*w - 394*w + 3002*w - 1146*w) - 2*w + 2*w - 2*w**3.\nAnswer: -7210*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 214214 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: Let a = 2637 + -2539. Are a and 108 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, c: 1, v: 2, a: 1, y: 1}. What is prob of picking 4 p?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ae73a (base 15) to base 12\nAnswer: 22930a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -0.4, -2\/13 in ascending order.\nAnswer: -41, -0.4, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/115 + (1339\/65 - -17)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -o**6\/360 - o**5\/12 - 13*o**4\/12 + 3*o. Let s(y) be the third derivative of i(y). Calculate s(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 8:43 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11523\/4 - -2881. Is -0.0868 at most u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(-1\/2))\/c)\/(c**(12\/5)\/c))\/((c*c*c\/(c**(16\/7)\/c)*c)\/(c\/(c*c*c**14))))**(-50) assuming c is positive.\nAnswer: c**(6865\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56 = 3*w - 5*m + 57, -11*w - 73 = -m for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**4*a)**32\/(a\/a**(-1\/3)*a\/a**(12\/11)*a))**(-6) assuming a is positive.\nAnswer: a**(-10412\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o*v*z**2 - 2*o*v*z - 384*r*v**2 + 5134212*r*v*z**2 + v**2*z**2 - 112*v**2 + 2*v*z wrt z?\nAnswer: 2*o*v + 10268424*r*v + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62831 times -0.3?\nAnswer: -18849.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4 = 0, -5*k + 2*o + 0 = -9 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -130\/9 or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -314280 divided by 4\nAnswer: -78570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2 + (-30)\/9 - ((-535936)\/(-25092))\/(-16) and 131\/12?\nAnswer: 25092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 253, 836, 1419?\nAnswer: 2002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 875, 589, 303, 17?\n\"Answer: -286*p + 1161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 138e - 5?\nAnswer: 1389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1266835 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, r: 4, v: 2, y: 2}. What is prob of sequence br?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**5 + 1040*n**4 - 41598*n**3 - 343772*n**2 - 825951*n - 592020 = 0. Calculate n.\nAnswer: -3, -4\/3, 55, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -19\/7 (b) -4 (c) 0.18 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.44 + 7.44. Which is the closest to -1? (a) -2\/5 (b) 3\/4 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1118*j + 20350 = -6956 + 56078 + 41662 for j.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 1. Let w be s(5). Factor 2*z**w + 27*z - 27*z - 2*z**2.\nAnswer: 2*z**2*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 10 (b) -3 (c) -2\/31 (d) 1 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(18) - sqrt(2)))**2 - (1*sqrt(7) + sqrt(7) + sqrt(7) + 2)**2.\nAnswer: -261\/4 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0695918 to four dps.\nAnswer: 0.0696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c - 15. What is the remainder when 23 is divided by p(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 498 = 3*m - 0*m. Let i be 179\/m + 1\/(-2). Let j = 4801\/166 + i. Calculate the common denominator of -53\/11 and j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/495990 and -22\/12483.\nAnswer: 687938130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 - 4*a**2 - 3*a - 2. Let z(b) = -b**3 + 5*b**2 + 2*b - 4. Let r be z(3). Let y(p) = p**3 - p**2. Let u be y(1). Suppose u = -5*v - r. Give j(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2212101 (base 3) to base 10.\nAnswer: -2089","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 661231047 to the nearest integer?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2523*i**5 + 21*i**2 - i - 8?\nAnswer: 151380*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.1 - 12.9. Let i = 13.904 + l. Round i to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, q: 3, m: 1}. Give prob of picking 2 q and 1 m.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*t - 24*t + 3. Let y be (12 + t)*1*1. Solve -5*s - 4 = 5*o + y, 5*o + 15 = 2*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12427 + 118*y**2 - 12427 + 6*y**2 - 8*y**2 + 19*y**2 + (y - 2*y + 2*y)*(5*y - 2*y - 5*y) to g*y**2 + w*y + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -46*a - 20*a - 4 + 4 - 4. Let s be c(2). Let n = -92 - s. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5670, -5669, -5668, -5667, -5666?\nAnswer: -5665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(576\/(-12))*-9?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.01 + 0.01. Let s = 1630 - 34207\/21. Let v = s - 3\/7. What is the smallest value in -0.1, v, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 78 = 66. What is the remainder when ((-566)\/4 + 2)\/(v\/8) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5109 is divided by 142?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-14 - (3 + -16))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.581 + -0.071. Let w = o + -0.33. Round w to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 + 8 = 34*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5991, -9751, -13511?\n\"Answer: -3760*i - 2231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9064?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 18*x + 39*x = -210 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, 77372, 1\/5 in descending order.\nAnswer: 77372, 1.3, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/8)*r*r)\/(r*r*r\/(r\/(r**2\/r))))**(-21) assuming r is positive.\nAnswer: r**(21\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**2 - 1287307*v + 321821*v + 321836*v + 321823*v + 321827*v.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - sqrt(68)*1) + -2 - sqrt(68))**2.\nAnswer: 8*sqrt(17) + 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 566239 a multiple of 187?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 + -30. Let x = -8108.5 - -8108. Sort c, x, 222 in descending order.\nAnswer: 222, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 6*z**2 + 8*z - 1. Let g(c) = -c**2 + c - 1. Let k(d) = -g(d) + n(d). Let a(l) = 35*l**2 + 36*l + 1. Let h(u) = 2*a(u) - 11*k(u). Factor h(i).\nAnswer: -(i + 1)*(7*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3279881 micrograms to nanograms.\nAnswer: 327.9881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*4*(-4 + (sqrt(96)\/sqrt(3) - sqrt(8))\/(1*sqrt(16)))**2.\nAnswer: -330 + 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2, -4\/37, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6861.6222 + -6803.61. Let i = v + -58. Round i to 3 decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-900126)\/(-316)*(4 + 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -543.8*0.5.\nAnswer: -271.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012237 rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 26 = -3*k, 3*k + 65 = 6*v - v. Suppose 0 = -4*y - 12, -w + 3*y - v = 8*y. Solve 15 - 3 = 4*c, -3*x - 3 = w*c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -45, -106, -205, -342, -517?\n\"Answer: -19*z**2 - 4*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -17\/4 + 4. What is the closest to -1 in 0.3, i, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*i + 16. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -21 - -19. Let g be (-1)\/(q*1\/24). Suppose g = 5*n - h, -9 = -0*n - n - 2*h. Which is the biggest value? (a) -0.5 (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -8*q**3 - 9*q - 8122. Let u(j) = 2*j**3 + 2*j + 2031. Calculate -9*u(t) - 2*x(t).\nAnswer: -2*t**3 - 2035","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of -o**2 + 0 + 0*o - 1\/8*o**4 - o**3. What is the units digit of i(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 12:57 AM?\nAnswer: 7:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*z. Suppose 2*n - 3*n + 235 = z. Suppose -k - k = -4*c - 72, n = 5*k + c. Is 28 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by ((-8)\/3)\/(-3 + 7\/3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 12438.837?\nAnswer: 37316.511","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 13. What is the lowest common multiple of 1 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 + -14. Solve -2*x + 3 = 3*x - z, d*x = 5*z + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 + 16*m + 8. Let k be o(-5). Let h = -53 - -53. Solve 5*p = -k*c - h - 7, -3*c = -3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 7) in base 6?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86 + -96. Let q be ((-5)\/k)\/((-3)\/24). Let o(w) = 2*w**3 - 5*w**2 + 5. Let m(p) = -2*p**3 + 4*p**2 - p - 4. Calculate q*o(r) - 5*m(r).\nAnswer: 2*r**3 + 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 - 7 + 24)*(2*n - 3 + 3)*(0*n - n - 4*n).\nAnswer: -290*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 70*y**4 + 257*y + 79*y + 49*y**2 - 285*y**3 - 5*y**5 + 204*y + 131*y**2 = 0. What is y?\nAnswer: -1, 0, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 2:41 AM?\nAnswer: 10:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -19*h**2 - h - 16. Let i(p) = -97*p**2 - 5*p - 79. Let j(t) = 2*i(t) - 11*m(t). What are the prime factors of j(4)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -2*i**2 + 0 + 7\/60*i**6 + 5\/4*i**4 + 0*i + 0*i**5 + 0*i**3. Find the second derivative of t(c) wrt c.\nAnswer: 84*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - 31635616?\nAnswer: -31635616.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 636 and 562?\nAnswer: 178716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-4*1*sqrt(1250))**2 - ((sqrt(2) + sqrt(22)\/(sqrt(33)\/sqrt(3)) + sqrt(18) + 4)**2 - (-4*1*sqrt(2) - -1*sqrt(162))**2).\nAnswer: -40*sqrt(2) + 19983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l + 4*l + 0*l + 2*l + 3*l - 3*l + l - 1 + 1 + 0 - 2*l + 0 + (2 + 2*l - 2)*(-2 + 0 + 0) - 10*l - 12*l - 51*l to the form d + q*l and give q.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000036602 to 7 dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -h**5\/60 - h**4\/8 + h**3\/2 + h**2 + h. Let a(f) be the first derivative of r(f). Let o be a(-3). Solve -o*x = -1 + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 21. Let j(o) = 2*o**3 - 3*o**2 + 109*o - 340. Let b be j(3). Solve m*l - b*l = 6 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 338 = 5*t + 58. Let m be ((-15)\/12)\/(2\/t). Is -34 less than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 58 + 147 + 27041*a**2 + 773*a**5 - 27039*a**2 wrt a.\nAnswer: 46380*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 less than -0.4638437?\nAnswer: -0.0638437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-16 - 36 - 10)*(8*f - f - 3*f) as r*f + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 g when three letters picked without replacement from {g: 7, p: 6, j: 4}?\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 295 = 6*r. Suppose 21*v + 67 = -r. Let i(g) = -3*g - 12. Determine i(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*b**2 - 21*b**2 + 30*b**3 + 0*b**3.\nAnswer: 30*b**3 - 72*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1538 = -97*f - 8037. Which is the biggest value? (a) f (b) -1\/4 (c) -0.3 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the third derivative of -d**5\/60 + d**4\/24 + 7*d**3\/6 - 4*d**2. Suppose 5*b - 8 = 2*z, -10 - 6 = 3*b + 4*z. Calculate w(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.41871 litres in millilitres?\nAnswer: 69418.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in -15, -4\/7, 0.1?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(432) + sqrt(432) + 0 - sqrt(432)) + 2 + sqrt(432)*1)*5 - (((sqrt(3) + 2)*3 - sqrt(3)) + sqrt(108)*-4 + -1))**2.\nAnswer: -4260*sqrt(3) + 60717","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 68 = 80. What is the tens digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 3*g**2 + 17*g. Suppose 0 = f + 2*f - 6. Let i(l) = -2*l**2 - l**f + 7*l**2 - 3*l**2. Calculate i(m(s)).\nAnswer: 9*s**4 + 102*s**3 + 289*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in t**2 + 8*t**2 - 12*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 10, -2, 150 in increasing order.\nAnswer: -5, -2, 10, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/3240 and -1*4 - (-2)\/(-18)*369304\/(-10296).\nAnswer: 35640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -9*k - 43. Let p = 268 + -275. Let g be w(p). Solve 0 = 3*t - 7*t - g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 85. Does 13 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*s + 2*s + 0*s + 5)*(2 + 3 - 7) to f + a*s and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*r**4 + 52014*r**3 + 385953*r**2 - 792192*r - 375300 = 0. Calculate r.\nAnswer: -9, -2\/5, 2, 3475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -34069 minus 54539778?\nAnswer: -54573847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and -43?\nAnswer: -21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/65*55*1.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3497 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 1:51 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -7455 - -11200. Let l = a - 2122. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359058 - 355183 = -125*l for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 4*p - p)*(-p - 6*p + 2*p).\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q + 1. Let f(m) = 1357*m + 3. Let g(d) = -f(d) - 2*k(d). Is g(-1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 31*t + 13*t**2 + 38*t - 69*t. Let l(w) = -3*w**2. Determine l(b(f)).\nAnswer: -507*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 8 - 5)*((-1 + 4 - 2)*(0*h + 0*h + h**2) + 50*h**2 - 79*h**2 - 46*h**2) as q*h**2 + x + t*h and give q.\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 5 + 5)*(8 - 8 + 5*j**2).\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4 = -5*h, 0*h = -4*p - 5*h - 59. Let n = p + 67. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 + 9\/10. Let p(s) = -3*s**2 + 87*s + 2739. Let g be p(48). Find x, given that -3\/2*x**g + 3\/2*x + 1 - 1\/2*x**4 - z*x**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 + 7 = 0. Suppose -9*p = -w*p - 168. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40090.35ms to microseconds.\nAnswer: 40090350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94*d**2\/7 + 15420*d\/7 + 656\/7.\nAnswer: 2*(d + 164)*(47*d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjjvjjvjjjjjvjjjjjj. What is prob of sequence jj?\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 17 - 7. Calculate the highest common factor of h and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 4\/3, 2, 444, -1\/3 in descending order.\nAnswer: 444, 2, 4\/3, -0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.936569326 to zero decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/(-144))\/((-14)\/6)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9716 and 48048.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 99517459*u**3 + 100842070 with respect to u.\nAnswer: 298552377*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:55 PM and 11:37 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, 0, -23\/3, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-154 - -56) + 76).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 538.9224 millilitres to litres.\nAnswer: 0.5389224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 211400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 80, -0.1, 2\/17, 4?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(48) + 5)*-6 + ((1*sqrt(18) - sqrt(18))*6)\/sqrt(6) + -5.\nAnswer: -24*sqrt(3) - 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -1\/83, 1399.\nAnswer: -1\/83, 2\/5, 1399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 PM and 7:51 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -394 - -5.\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -7154.\nAnswer: -3\/7154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 450042602 to the power of 1\/2, to the nearest integer?\nAnswer: 21214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -4, -3, -17 in decreasing order.\nAnswer: -1, -2, -3, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-531)\/(-177)*17\/(-3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h. Suppose -10 + 4 = 3*c + 2*b, 3*c + b = 0. Let j(u) be the second derivative of 0*u**3 + 0*u**c + 1\/3*u**4 + 11*u + 0. Calculate j(t(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1746 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 607*y**2 - 277*y**2 - 68*y**2 + 450*y**2 + 219*y**2.\nAnswer: 931*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (t + 11 - 21 + 7)*(3*t**2 - 3*t**2 + 3*t**2) in the form y + r*t + u*t**3 + s*t**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kktktk. Give prob of sequence kkkk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 33 - 16. Let k(h) = 3 + l*h - 3 - 19*h. Let q(u) = 3*u. Let d(a) = -2*a. Let w(s) = 5*d(s) + 3*q(s). Give w(k(v)).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 63438606044.181857 + -63438279452. Let b = -326592 + q. Let v = b - 0.182. What is v rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of 1\/105*y**7 - 4\/75*y**6 + 3 + 1\/15*y**4 - 1\/3*y**3 - 17*y + 2\/5*y**2 + 2\/25*y**5. Factor z(q).\nAnswer: 2*(q - 2)*(q - 1)**3*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 97 - (-4 - -61 - (40 - 12)).\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 469.5317 litres in millilitres?\nAnswer: 469531.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -165*i + 167*i - 6*g, i - 348*g + 19 = -344*g for i.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 902459554?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18773.14721 + 0.14721. Let n = 18780.8929 + j. Let v = n + -7.9. What is v rounded to three dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-24))\/(-1)*43424\/(-1384140)?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38710 and 8690.\nAnswer: 425810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 2*s**2 - s**2)*(-s - 2*s + 4*s) + 12*s + 56*s - 81*s**3 + 80*s**3.\nAnswer: -2*s**3 + 68*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -70, 2, 1, -5 in decreasing order.\nAnswer: 14, 2, 1, -5, -70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60686187 is divided by 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -8, b + 4*k + 3 + 2 = 0. Suppose -b*x - 3*w + 10 = -2*x, -3*x - 2*w + 9 = 0. List the prime factors of (x\/(-3))\/(3\/(-18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + -6)\/(1\/16). Let t = -20 - u. Suppose -t = -3*i + 12. Calculate the highest common divisor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*b**4 - 569914*b**2 + 26179*b + 113 wrt b.\nAnswer: 72*b**2 - 1139828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/104063280 and 37\/3152.\nAnswer: 104063280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 677*w - 3*g + 3 = 681*w, 3*w - 4*g = -29 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2 - (-14)\/6). Let c(i) = 2. Let g(z) = z - 2. Let h(d) = -3*c(d) - 2*g(d). Give h(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -db (base 16) to base 10.\nAnswer: -219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 20*b - 5. Let u = 12 + -27. What is the tens digit of c(u)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5*g - 2*g + 8, 5*i - 5*g = 40. What is the smallest common multiple of i and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 617 + -1525. Let c = l - -1332. What are the prime factors of c?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 0.7. Let i = -6 - m. Let j = i + 5.7. Which is the nearest to -1? (a) -1\/8 (b) 0 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1867669, -1867667, -1867665?\n\"Answer: 2*z - 1867671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*c = -2, -20*g = 4*c + 168 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 + -5 + 300\/88 + -3 and (-3*2\/(-48))\/((-11)\/1067).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -34 - (44 + -50).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**2\/2 + 1312*a - 525\/2 = 0?\nAnswer: -525, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -3, 3\/5, -481396?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -239.55 + 69.07. Let x = a - -176. Let q = x - 7. Round q to 1 decimal place.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -66.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, -55, -2, 2, -18 in descending order.\nAnswer: 7, 4, 2, -2, -18, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3 - 94706*f**2*o + f**2 - 11*f*o - 2*f - 5*o - 138 wrt f?\nAnswer: -12*f - 189412*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 - 32*z - 1. Let w be n(18). Let b = w + 257. Factor -1\/2 + 3\/4*l**b - 5\/4*l**3 + 5\/4*l - 1\/4*l**2.\nAnswer: (l - 1)**2*(l + 1)*(3*l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p + 62*p = 136051. What are the prime factors of p?\nAnswer: 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -296717002 divided by -5.\nAnswer: 296717002\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 280281478 a multiple of 1367?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 816, 3107, 6870, 12105, 18812, 26991?\nAnswer: 36642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1228 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(-4)\/(-16)*2. Let m(x) = -2*x**3 - 6*x**2 + 5*x - 2. Let v(p) be the first derivative of -p**3\/3 + p**2\/2 - 1. What is l*m(k) - 6*v(k)?\nAnswer: -2*k**3 - k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 16) in base 6?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 times -0.18577\nAnswer: 0.0037154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -12285, -24572, -36859?\n\"Answer: -12287*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/16 and -65\/22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 687 = -3*n + 298, -5*n = 4*b - 1637. Does 12 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 240*y**2 - 4*y + 1. Is r(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*m**3 - 20*m - 5*m + 28*m - 17*m**2 wrt m.\nAnswer: -162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243 is divided by 47?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f - 2*f + 2*f)*(2*f + 4*f**2 - 2*f)*(2*f**2 - 94 + 94).\nAnswer: -8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 251 + -250.999857. What is y rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 435 and 54656445.\nAnswer: 54656445","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1272*o - 590*o + 204*o)*(4 + 2 - 7).\nAnswer: 1658*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 30. Let w be (3\/x*-2)\/((-2)\/(-51)). Let n = 20 + w. Solve 5*m - 2*o - 11 - 9 = 0, -n*m + 12 = -2*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13189 + 13358. Calculate the remainder when 646 is divided by u.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 5:48 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - z - 7, -3 = -z - 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 1127 - 1172 = 0. Solve -b*p - 3*y = 0, -4*y - 1 = -2*p - 5*y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/490 and -48\/539.\nAnswer: 5390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*o - 241*o**2 - 374*o - 275*o + 222*o + 3.\nAnswer: -241*o**2 - 703*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 - b**2 - b - 32. Let k be x(0). Let c = k - -29. Let q(o) = -o**3 + 3*o**2 + 2*o - 2. Let s be q(3). Sort s, -4, c in decreasing order.\nAnswer: s, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t - 2*t - 4*t)*(-17266 + 1201 - 3538) as w*t + q and give w.\nAnswer: 19603","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 + (14 - 6 - 8) - (120 + -115)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**8*m*m**(-3\/7))**(-2\/5)\/(m\/m**(1\/3)*(m*m**(-1\/5))\/m*((m*m**(-4\/5))\/m)\/(m\/(m\/(m**(2\/11)*m*m)))) assuming m is positive.\nAnswer: m**(-211\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -6*b - 4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55\/(-15) - (33\/(-9) + 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 s when four letters picked without replacement from {k: 2, s: 7}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 - 42. Let y(s) = 52 + 57 - 106 - s. Is y(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9277 is divided by 80.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.068019, 1\/7, -1 in descending order.\nAnswer: 1\/7, 0.068019, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -504 + 406?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 22*q**2 - 20*q - 8. Calculate the remainder when 24 is divided by m(21).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 4:49 AM?\nAnswer: 11:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = 6*v - 5*x, -11*x + 7*x = -5*v + 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 - -7. Let y(k) = 25*k - 21. Let w(v) = -5*v + 4. Let c(d) = 11*w(d) + 2*y(d). What is the units digit of c(j)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -815, -3264, -7339, -13034, -20343?\n\"Answer: a**3 - 819*a**2 + a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 f when two letters picked without replacement from cjfgczhf?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76884, -308502, -694532, -1234974, -1929828, -2779094?\nAnswer: -3782772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/7)\/((32\/(-28))\/8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -743102 (base 9) to base 6\nAnswer: -13245345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*a - 2492 = -183*a for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1694) - (sqrt(1694) + 3*(sqrt(1694) + sqrt(1694)*-1)))*2)\/((2*sqrt(252)*3)\/sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 23, 4 in descending order.\nAnswer: 23, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q + 3. Let c = 25 + -19. Let a be b(c). Let n be ((-12)\/(-28))\/(a\/(-21)). Sort -4, -5, n in decreasing order.\nAnswer: n, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 45453469 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4*-1*sqrt(700)*3)**2.\nAnswer: 201600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 1704 = 3*x - 1716, -3*p - 13 = -11*x for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -5*s**2. Let f(t) = -64*t**2 - 12*t - 13. Let q(u) = -63*u**2 - 10*u - 11. Let m(o) = -5*f(o) + 6*q(o). What is m(c(d))?\nAnswer: -1450*d**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/126*((-144)\/(-40))\/(4\/10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*p - 46*p**3 + 30*p**2 - 6 - 42*p + 34*p**3 - 6 to m + b*p**2 + a*p**3 + y*p and give b.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 4*h**2\/5 - 464*h\/5 - 468\/5 = 0?\nAnswer: -1, 117","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 12. Suppose 0 = -3*s - 4 + 1. Suppose -4*n = 2 + 14. Which is the closest to 0? (a) d (b) n (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-13)\/(845\/39) + (-202)\/(-170). Let b = j + -353\/629. Sort b, 5\/2, 4 in decreasing order.\nAnswer: 4, 5\/2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 206131010 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 12, 14, 16, 18?\n\"Answer: 2*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -70*a - 1696. Calculate j(8).\nAnswer: -2256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -1. Let w be (-2)\/4*1 + 0. Which is smaller: q or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 15. Suppose 4*w + 46 = i, 42 + 45 = 2*i - 3*w. What is the highest common factor of s and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2547099.04 rounded to the nearest one hundred?\nAnswer: -2547100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 2*b. Let s be (-1 + -1)\/((-3)\/(-21)). Let g(w) be the third derivative of -w**5\/20 + 7*w**4\/24 - 1318*w**2. Determine s*x(v) + 4*g(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/4 of a hour?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 9. Let b be g(0). Suppose 0 = -4*c + 5*c - b. Suppose -5*p + 2*p + c = 0. Solve -3*s + 17 = -4*i - 10, 0 = 5*s - p*i - 34 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1536*l**2 - 1137*l**2 + 3681*l**2 to the form x*l + r + o*l**2 and give o.\nAnswer: 4080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 8:29 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wu when two letters picked without replacement from {w: 1, s: 10, u: 8}.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -1052*v - 8. Let a(n) = -351*n - 2. Determine 7*a(z) - 2*b(z).\nAnswer: -353*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63.4 - -62.94. Which is the smallest value? (a) -1\/5 (b) -0.4 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-288)\/80*17510\/927.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (146\/4)\/((-4)\/(-48)). Suppose 228 = 2*d + 4*v, -v = -3*d - d + u. Suppose 2*k = -3*x + k + d, 0 = x - 2*k - 39. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -475*b + 470*b - 10, 3*v - 5*b = 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -75.2 + 75. Which is the smallest value? (a) f (b) -1\/9 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5461745 <= -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = -2*d. Let y = -0.1 - -0.2. Let s = 0.1 - 0.2. Which is the closest to -1\/4? (a) s (b) d (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - -3.06. Let p = 6 - v. Let f = -0.7 + 0.5. Which is the biggest value? (a) f (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*i + 31*i + 6 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 4*q + q + (q + q - q)*(3 + 1 - 5))*(-4*q - 4*q + 2*q).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(784\/384)*(39 - 37).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*s - 9*s - 6*s - 6*s - 2 - 13*s.\nAnswer: 15*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.166765 and 5660677.\nAnswer: 5660677.166765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1886*z = 1865*z + 231 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 28. Suppose 2*d + 2*h + 18 = 0, -5*h - q = d + 12. Put -3, 5, -2, d in descending order.\nAnswer: 5, -2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 5*r - 38 = -c, 3*r = -3. Does 26 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 402247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685 is divided by 169?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 7:40 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 260675517?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1041 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**3 - 7*d**3 + 4105 - 429 - 10*d**3 - 9*d**3.\nAnswer: -17*d**3 + 3676","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 4 - (-24 - (-1 - 5))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4125 (base 6) in base 10?\nAnswer: 917","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1097, -2\/67, 0.1 in decreasing order.\nAnswer: 1097, 0.1, -2\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/20)\/((-109)\/((-559170)\/108)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-3 + 2) - 3. Let x = 5 - f. Let j(q) = -q**3 + 5*q**2 - q. Calculate j(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -35, -44, -59, -80, -107, -140, -179?\n\"Answer: -3*x**2 - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2892096 divided by 20084\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f - 2. Let y be n(6). Let a = y + 0. Let w be 2\/(-16) - 1935\/(-120). Solve h = a*v + 14, -2*v + 0*h = 4*h + w for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -6*b - 12. Let s(z) = 2*z + 4. Let y(d) = d - 4. Let o(n) = 2*n**2 - 19*n + 16. Let k be o(9). Let m be y(k). What is m*t(v) + 8*s(v)?\nAnswer: -2*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q - 2. Suppose 2*j = 3*j + 5, t + 5*j = -20. Let l(o) = 6. Let d(c) = 1. Let y(h) = t*d(h) - l(h). Suppose -25 = v - 6*v. Calculate v*y(r) - 2*z(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/144 and 5\/12*5439\/11760.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(10)*2*-6 + sqrt(10))\/(sqrt(50) + sqrt(250)\/sqrt(5)))**2.\nAnswer: 1089\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 5*y**2 - 4. Let n(h) = -h**2 + 1. Give 6*n(p) + q(p).\nAnswer: -p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-13)*(-30)\/(-80)*-4?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0. Which is the nearest to f? (a) -4 (b) -0.5 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(325) + 0 + sqrt(325) - sqrt(325)) + ((0 + sqrt(325))*-5)**2 - (-5*(sqrt(325) - sqrt(325)*-2)**2 + -4*-2*sqrt(325)).\nAnswer: -35*sqrt(13) + 22753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 105 + -104. Is i greater than 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 2*c - 18. Let r be x(-4). Find the common denominator of -93\/14 and -5 - 0 - 195\/r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*z + 154 - 1974. What is the greatest common divisor of z and 715?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1645*q**2 - 1702*q?\nAnswer: 3290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.10477 + -20.10477. Is r equal to -2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 9:00 PM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224121?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.14588mg in kilograms?\nAnswer: 0.00003214588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 302 is divided by 100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(-9) - (105\/(-9) - -1). Let p = 85 + -61. Let j = p + -13. What is the highest common divisor of j and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303 divided by 5?\nAnswer: -303\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 769*d**5 + 72*d**2?\nAnswer: 46140*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 - 12 - (0 + -3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -143 - -139. Put 5, -5, 1, l in increasing order.\nAnswer: -5, l, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by ((-85)\/(-15))\/(2\/6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*g = -496*g + 8086 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -29 or -19?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/21, -1.3, -3\/44, -1\/5, -0.6 in decreasing order.\nAnswer: -3\/44, -2\/21, -1\/5, -0.6, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x + 3. Let i(w) = -19*w - 14. Let p(j) = -4*i(j) - 18*t(j). Give p(-2).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 276 = -30. Let q = b - 1068\/7. Let v(r) = r - 10. Let a be v(8). Sort q, -4, a in ascending order.\nAnswer: -4, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104742.76 rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -7. Suppose i - w - 7 = 0. Calculate the remainder when i is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.01 and 50455377317508.\nAnswer: 50455377317507.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9.6 + 10. What is the second smallest value in 7, -1\/2, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 696382178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 831 and 1004691?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/4 and -149\/228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -1.31.\nAnswer: -0.131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2146*l - 6464*l + 1707 + 2158*l + 2159*l - 5837.\nAnswer: -l - 4130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -5*k. Let h be 0 + (k\/(-2) - -201 - 3). Suppose -4*r + 66 + h = 0. What is the remainder when r is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -2, 4, 9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -7. Let u = 3986 - 3976. What is the third smallest value in u, m, 3\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 1\/2*w**2 + 3\/2*w + 0 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 14*s**2 - 167*s - 8. Let c be y(12). Let j = -100 + 104. Solve j*m + 8 = -c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*i**4 - i**4 - 4*i**4 + 2*i**4 + i**4 - 5*i**4 + (2*i**4 + 3*i**3 - 3*i**3)*(-2 + 0 + 1) + 58*i**2 + 58*i**4 - 58*i**2.\nAnswer: 53*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 31 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 10, m: 4}. What is prob of picking 2 j?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-18)*2\/1*255\/170?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r - 1. Suppose 4*o + 6 = 18. Let j be w(o). Let x(h) = 4*h**2 - h + 2. Let f be x(0). Sort -1, -5, j, f.\nAnswer: j, -5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i - 100. Suppose 17*n = i*n - 12. Solve -n*u + 9*u - 3*w = -3, -3*u = -2*w + 2 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -10*i + 14. Let z be x(22). Let y = -106 - z. Is 25 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1360 greater than or equal to -436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 285778, 285799, 285818, 285835, 285850, 285863, 285874?\n\"Answer: -t**2 + 24*t + 285755","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, -0.1, 0, -54?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 210 = 192 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115, -608, -1813, -3500, -5669?\nAnswer: -8320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1734520 divided by 43363.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*99\/4290*((-976)\/(-9))\/(-8).\nAnswer: 61\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32785?\nAnswer: 5, 79, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h + h - h)*(-1 - 1 + 4) + (0 - 2 + 1)*(5 - 5 - 3*h).\nAnswer: 15*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1476 and 31\/117910.\nAnswer: 87017580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 712421.703ns in weeks?\nAnswer: 0.0000000011779459375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1478*p + 37538 = -229*p - 17418 for p.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ahhyau. What is prob of picking 1 y, 2 h, and 1 u?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 27 = -75. Let k = -4 - -14. Is 10 a factor of v\/20 - (-236)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 907420944?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 828*p - 682 = 890*p for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4575854.\nAnswer: 2, 61, 37507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/3*(-3 + 0). Suppose -q*k + 3*z + 22 = -11, -k = 4*z. 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: Simplify ((-5 + sqrt(63)*4 - ((sqrt(224)\/sqrt(4))\/sqrt(8) + sqrt(1008) + -1)) + -1)**2.\nAnswer: 10*sqrt(7) + 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*t - 2*z - 44, 3*z + 191 = 4*t. Let f(p) = 2*p**2 + p + 2. Let l be f(-4). Let y = t - l. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 9:15 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1359)\/4228*4\/6?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.67?\nAnswer: 0.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 14736.99 minutes?\nAnswer: 884219400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 o, and 1 b when four letters picked without replacement from ozymmyobyzybbb?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*b + 15. Suppose -4 = -b*z + 14. Let i be (-3)\/(0 - -3) + z. Solve -t = 4*t + i for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.986 - -0.014. Which is the nearest to -2\/3? (a) -1\/3 (b) g (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -334413?\nAnswer: 334422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-z + 0*z + 0*z)*(3 - 5 + 10) + 3 + 5*z - 3)*(-1 + 25*z**2 + 1) + 5 - 5 + 4*z**3 to b*z + j + u*z**2 + m*z**3 and give m.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2777.592 nanometers to millimeters.\nAnswer: 0.002777592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -2 (b) -0.2 (c) 2487\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s\/(s\/(((s**10*s)\/s)\/s)))\/s)*(s*((s*s**(-1\/31))\/s)\/s)\/s)**29)**(9\/2) assuming s is positive.\nAnswer: s**(-36540\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*p**2*r - 25*p**2 - 108*p + 55*r + 43 with respect to p.\nAnswer: -4*p*r - 50*p - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + z. Let w(o) = -14 - 4*o - 5*o**2 + 7*o**2 - 4*o. Let b(h) = -8*l(h) - w(h). Find the first derivative of b(m) wrt m.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -35080, -75797, -116514?\n\"Answer: -40717*k + 5637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 654 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j + 3*j = 9590. Let n be j\/(-8) + (-1)\/(-4). Let b be ((-4)\/(-5))\/(16\/n). Solve 3 = 3*m, 5*m = -4*w + b - 3 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 50 and 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -17001, 4.\nAnswer: -17001, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l = 21*l - 6. Let j(n) = -n. Let o(a) = a**3 - 3*a**2 - 6*a - 2. Calculate l*o(t) + 6*j(t).\nAnswer: -t**3 + 3*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -23. Suppose 5*q = y + 23. What is the units digit of (2 + (-30)\/q)*-3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 16 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 102 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.042154*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 - 6 - (-3 + 9 - 1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 - 13*q - 17. Let j be h(15). Do j and 15 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 9*w + 7 - 2. Suppose -2*x - 4 = 4*q - 3*q, -2*x - 36 = 5*q. Sort w, -2, 0, q in decreasing order.\nAnswer: w, 0, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276, -406, -536, -666, -796?\nAnswer: -926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*c**3 + 2*c**3 - 3*c**3.\nAnswer: 18*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -236, -167, -50, 115, 328, 589, 898?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 763 = 25*p - 0*p - 2612. Calculate the greatest common factor of 2106 and p.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -3875*w + 4933. What is i(2)?\nAnswer: -2817","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 461 - 356. Calculate the lowest common multiple of 235 and x.\nAnswer: 4935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.8 + 0.2. Which is the biggest value? (a) -0.3 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 4*d - 3*d)*(-5*d + 5*d + 2*d)*(-14*d + 42*d + 135*d)*(-4*d - 2*d + 5*d).\nAnswer: -326*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 993821083 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432) + (sqrt(432) - (-1 + sqrt(432))) + -3 + 0)*1)**2.\nAnswer: -48*sqrt(3) + 436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/((sqrt(84)*-2)\/sqrt(7)) + ((sqrt(99) + 2 + sqrt(99))*-5 - sqrt(99)))**2.\nAnswer: 670*sqrt(11) + 49779\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 1920\/168)\/((-3)\/21)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*t + 944 + 252 = 6*k, -t + 26 = -3*k - 2*t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - z - 3305 + 3241 = 0, 17*z + 8 = 3*m for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u**2 - 289*u**3 + 5*u**2.\nAnswer: -289*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -67 - -119. Let z = 118 - q. Calculate the remainder when z is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5807776 is divided by 90746?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*t + 68 + 67. Solve -t*r + 4*u - 9 = 3*u, 5*r + 8 = 4*u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 + -7 + -20 - (-47 - -10)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 81*d - 402. Calculate the remainder when (0 - 1) + 0 - -7 is divided by y(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -286*v + 46*v + 2718 + 882 = 0 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fia when three letters picked without replacement from {i: 2, j: 1, t: 1, f: 3, a: 3}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -26, -12 in decreasing order.\nAnswer: 5, -12, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 11 = 3*u - 0*u, -2*a = -5*u - 18 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 12) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 14\/71?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 22808405 and 46?\nAnswer: 22808359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -285566954, -285566953, -285566952, -285566951?\n\"Answer: w - 285566955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1)\/(m\/(m\/m**2))*m**5\/(m\/(m*m\/m**(6\/7)*m*m)) assuming m is positive.\nAnswer: m**(29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001531 to five dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2669871 to the power of 1\/3, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 122831?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -834939.5 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12\/11 (b) -405 (c) -0.5 (d) -0.07 (e) -2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2648 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6612963533.\nAnswer: 11, 127, 4733689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7716160365?\nAnswer: 3, 5, 71, 97, 113, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(((-12)\/(-2))\/3)\/(-4). Suppose m*t = 5*t + 2*z - 492, -193 = -2*t + 3*z. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 389 + -611?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a**3 - 205740*a**2 + 18959820*a - 436319200 = 0. What is a?\nAnswer: -41240, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 15226*k = -15217*k - 7 - 8, -q - 5*k + 7 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(44)\/sqrt(4) + 5)**2 - (2 + sqrt(176)).\nAnswer: 16*sqrt(11) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 2:11 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-42)\/(-70) + ((-1266)\/(-420) - 3)*188\nAnswer: 23\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -710*r + 704*r + 720. Calculate the highest common divisor of 192 and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -3\/4 (c) 18.45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 + -1. Let c be (1 - w - 1) + 0. Suppose x + c - 4 = 0. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514241732*w - 369*w**3 + 514241732*w + 370*w**3.\nAnswer: w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29006755?\nAnswer: 5, 47, 123433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(7\/(-84)*-16).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*h = -35*h + 5994. List the prime factors of h.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 5*y - 4. What is d(-7)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**3 - 8064 + 24183 - 8057 - 8062.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 413551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-2 + -3 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4*((-8)\/552)\/1 and 56\/3.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 591005 (base 10) to base 9.\nAnswer: 1100632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.8 and 2820.\nAnswer: 2820.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 447 - 441. Suppose 9*a + 78 = u. Let t(c) = c**2 + 12*c + 1. Give t(a).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 61*p**3 - 61*p**3 + 3*p**4 - 7 wrt p?\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2629474 is divided by 90.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71, -189, -311, -437?\n\"Answer: -2*u**2 - 112*u + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 5452323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 26*p - 7*p + 11*p - 8*p. Let g(w) = -4*w**2. Calculate g(k(i)).\nAnswer: -1936*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 2*l - 1359 = -1373, 2*w = l - 21 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h - h)*(8 - 2 - 1)*(-286 - 732 - 601).\nAnswer: 8095*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6*o. Let r(a) = -23882845*a - 3. Calculate r(i(m)).\nAnswer: -143297070*m - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(6 + 2 - 5 + 9*j).\nAnswer: 18*j + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/29)*y**(3\/2)\/y)\/(((y\/y**(-15))\/y)\/(y\/(y\/(y*((y\/((y\/(y\/(y\/(y**(1\/2)\/y*y))))\/y)*y*y)\/y)\/y))*y)) assuming y is positive.\nAnswer: y**(-318\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 2.3, -3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158291 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 1 = 11. Suppose 0 = -3*x + 5*u - 19, -u + 10 - 1 = h*x. Let m = -10715 - -10715.4. What is the nearest to -11 in x, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11322 and 1917414.\nAnswer: 32596038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t + a - 133, -t + 8 = 4*a + 52. Let j = t + -77. Let n be j\/(-15) + -2 + 6\/(-15). What is the greatest common factor of 77 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2546 and 1774.\nAnswer: 2258302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*l*q**2*s**2 + 38*l*q*s + 2*l*s**2 + 3*q**2*s + 78*s**2 wrt q?\nAnswer: 4*l*q*s**2 + 38*l*s + 6*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 2*i**2 + 0*i**2 - 10 - 2*i**3 to the form u*i**2 + p + t*i**3 + g*i and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -145 - -142.7. Let z = u - -2.1. Let g = -2128\/15 - -142. Is z smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*x = 4*x - 16*x - 1300 for x.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -530*w + 558*w. Solve 7*a = w*a + 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**4 - 8*m - m + 6*m)*(-1 - 1 + 0 + 1 + 2 - 1 + (-4 + 4 + 1)*(4 - 4 - 2) + 1 - 1 - 2 - 4 + 2 + 1 - 2 - 1 + 1 - 4 + 13 + 6).\nAnswer: 8*m**4 - 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**6 + 188535*h**5 - 2*h**3 + 6155*h**2 - 160 wrt h.\nAnswer: -360*h**3 + 11312100*h**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8652506 is divided by 163254?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 8. What is the remainder when 33 is divided by d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*((-129)\/(-5246))\/(-3)\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2525301625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3366*z**2 + 1. Let h(w) = 17*w. Determine h(j(s)).\nAnswer: 57222*s**2 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(99) + sqrt(99)*-2 + 1 - (sqrt(99) + sqrt(99)*3 - sqrt(99) - sqrt(99))*3))**2.\nAnswer: -168*sqrt(11) + 4867","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 14*j**2 - 21*j - 121. What is b(-15)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 0 + 0 + 2*r**2 + 2*r - 2*r + (-2*r**2 + r**2 + 2*r**2)*(3 - 4 + 3) - 13 - 6*r**2 + 13 + (-10*r + 18*r + 5*r)*(r + 0 + 0).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 8*x**2 - 51*x + 83. Determine d(-12).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ecb5 + 4d1?\nAnswer: -2e7d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 - 7 = 6*s - 23*s - 2 - 27, 2 + 1 = -3*a + 2*s for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 15076627.44 rounded to the nearest 100?\nAnswer: 15076600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2. Let r(p) be the second derivative of 4*p**3 + 5*p + 44 - 58*p**3 + 3*p**3 - 4*p. Give k(r(x)).\nAnswer: 93636*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(204))\/(sqrt(144)\/(sqrt(24)\/sqrt(2) + sqrt(12))).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -255 + 271. Which is the second smallest value? (a) z (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 40*n**4 + 85 - 95\/2*n - 5\/2*n**5 + 50*n**3 - 125*n**2 = 0. Calculate n.\nAnswer: -2, -1, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of 451*n**4\/6 + 3952*n**2 + 2013*n. Find the first derivative of f(r) wrt r.\nAnswer: 1804*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.73046 grams to nanograms.\nAnswer: 43730460000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o + 4044*o**3 - 2*o - 1991*o**3 + 26*o**3 + 2739*o**3.\nAnswer: 4818*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 6) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2513 times -0.3\nAnswer: -753.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**2\/2 + 61687*x\/2 - 2223324 = 0 for x.\nAnswer: -61759, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 130 - 73. Let y = -56.98 + i. Let z = 35\/87 - 2\/29. Which is the fourth smallest value? (a) z (b) y (c) -1 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39526972 times 2.1\nAnswer: 83006641.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -63684438.386 - 0.16\nAnswer: -63684438.546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 497*f*h**4 + f*h**2 + 2*f*h + 1767*f + 101*h**5 - h**2 wrt h?\nAnswer: 11928*f*h + 6060*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -29 - -5. Let t = u - -21. Let q(s) = 636*s**3 - 4*s**2 - 3*s - 1. Let n be q(t). What is n rounded to the nearest one thousand?\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*((b\/b**25)\/b)\/b)\/b)\/(b\/b**(-1\/41)*b) assuming b is positive.\nAnswer: b**(-1108\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11622*y - 12902*y = -19200 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 43. Calculate the remainder when j is divided by (-30)\/(-4) + 1\/2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*1*304\/(-13 + 17). Let s = h - -489. What are the prime factors of s?\nAnswer: 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19859?\nAnswer: 7, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -16*75\/(-480)*(0 + 16\/20). Let x = -5 - -10. Solve 0*d - j*d - x*u = 24, -2*d = -5*u - 16 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 236 and 3776.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -7979900, 0, -4\/9 in decreasing order.\nAnswer: 0, -4\/9, -7979900","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*r**2 + 7*r**2 - 31*r + 29*r - 19 + 8*r to t + b*r + m*r**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 93060 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/18 and -67\/50.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 4285?\nAnswer: -1\/4285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.1. Let h = 22.6 - 21. Let s = -1.7 + h. Sort s, m, -2 in descending order.\nAnswer: m, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -42*a + 520. List the prime factors of h(7).\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 915 a factor of 6870735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 - 430 - 43)*(3 + 1 - 1)*((3*v + 0*v - v)*(-v**3 + 0*v**3 - v**3) - 3*v**4 - 3*v**2 + 3*v**2).\nAnswer: 8379*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1 + -1 + (-286)\/(-12) and 50\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 33939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-5 + sqrt(1573)*1*-3 - (sqrt(1573) + 1 + sqrt(1573) + -1 + 5)))**2.\nAnswer: 1540*sqrt(13) + 39521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + -6. Suppose -2*t - w + 4 = 0, -2*t + b*t = w + 1. Solve -g = -4*s - 13, -2 + t = 4*s - 5*g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1)\/(-5) - 337648\/(-235)?\nAnswer: 3, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2974054 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - h + 2)*(-5*h**3 - 2*h**3 + 444*h**4 - 447*h**4).\nAnswer: 3*h**5 + 7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 6\/2 + 0. Suppose -3*k - 2 = 4*q - 6, 0 = q + 2*k - h. Let x be q - (-3 - 6\/(-2)). Is x < 0.06?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, o: 4, v: 1, n: 6, y: 3, f: 1}. Give prob of picking 2 n, 1 o, and 1 y.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 145*f**2 + 44. Is c(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4755351 (base 8) to base 16.\nAnswer: -13dae9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -4*o - 2*o**2 + o**3 + o + 0*o. Let i be y(3). Solve -g - 5*c + 21 = i, 2*g - c - 22 = -6*c for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1693 is divided by 142.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*a**3 + 0 + 2*a - 1 + a**2 + 9*a**3 as y*a + b*a**3 + r + j*a**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/((-2)\/(-9))*(-8338)\/2274?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, h: 6, y: 3, z: 4}. Give prob of picking 2 h.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 148\/9711 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from cgbgbcggs?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 11, e: 2}. What is prob of sequence meme?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 996 + -629. Suppose -g = 6*r + 101. Let h be (-144)\/r - 2\/(-13). Solve d - 4*a - 3 = -h*d, -3*d + a + 3 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 4 + 4 - (-1 - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 63301122 divided by -6\nAnswer: -10550187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -2*k + 8. Suppose -3*y - h = -5*y + 16, -k = -4*y + h. Let w(v) = 2*v - 8. Let l be w(y). Solve l*j = -3*f + 10, 0 = f - j - 3 + 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1247816 to the nearest integer?\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 212408911986 take away 0.3?\nAnswer: 212408911985.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3263 is divided by ((-2)\/(-3))\/((-10)\/1275*-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 24 - 264. What is the common denominator of -31\/10 and 2\/(-6)*801\/h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 3*o. Let m(z) = -z**3 + z - 24. Let r be m(0). Let w = 25 + r. Determine h(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 430020457 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 31. Let r be (-6)\/(-8)*a*158. Let p = r + -133. What is the remainder when p is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 295.\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17050629*i**3 - 27971751*i wrt i.\nAnswer: -102303774*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l + 6*l - 13*l + 10)*((-2*l - 2*l**2 + 2*l)*(2*l + 6 - 6) - 5*l**2 + l**3 + 5*l**2).\nAnswer: 3*l**4 - 30*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + h**2 + 21*h - 339. Determine o(0).\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -0.5 (c) 30.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-2*d - d**2 + 5*d**3 + d**2).\nAnswer: 10*d**3 - 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.272 + 1.27243. Round u to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -218.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - 93\/(-24)) + (-23)\/(-56).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 + 13*l - 20. Let y be p(11). Suppose -2*f = 4*h - 2*h + 12, y*f = -4*h - 24. What are the prime factors of 74\/h*(1 - 4)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-14)\/(-63) - (-16)\/9. Suppose 4*g = -i*y + 416, -4*g - 7*y = -3*y - 412. What is the greatest common factor of g and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -328 - -332. Suppose 0 = -4*o - 5*s + 213 - 78, 3*o + x*s - 100 = 0. What is the greatest common factor of 15 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f - 2*l - 18 + 1, -5*f + 3*l = 46 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -53\/2*d - 11 + 3\/2*d**3 - 14*d**2 = 0.\nAnswer: -1, -2\/3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/(-7))\/((-171)\/(-266)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8771\/29270 - 1\/2927. What is the nearest to 1 in -0.53, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (-5 + (1 - 1)). Suppose -5*y + 0 = -5*j + 15, 2*j - l*y = 9. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 232954648 divided by 4.\nAnswer: 58238662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s. Let m(w) = 3*w. Let q(k) = -2*m(k) - 5*y(k). Let h(b) = -2*b - 2*b + 7*b. Determine q(h(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/5 of a gram in milligrams?\nAnswer: 15400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9764*u - 9763*u - 591. Which is smaller: u or 588?\nAnswer: 588","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*g**3*p**3 + 3*g**3 - 11*g**2*p + 105*g**2 - 2*g*p + 15024*p**4 - 2*p**2 + 117 wrt p?\nAnswer: 54*g**3*p + 180288*p**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 2*d = 4*k - 20, -5*k + 17 = -3*d. Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-7)*c*c**(-2\/3))\/(c*c*c**(1\/3)\/c*c)**(2\/63) assuming c is positive.\nAnswer: c**(223\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -150*d*m*r**2 + 2*d*m*r + 2*d*m - 114*m*r**2 + 11*m*r - 4*m - 2*r**2 wrt r?\nAnswer: -300*d*m - 228*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 593976 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 15 = -3*s. Let i = 15 - 17. Let n be s\/i*(0 + -2). Solve -14 + 2 = -n*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/18)\/((-4)\/6). Let c be 2\/q - (-3040)\/(-8). Is (-4)\/(-8) - c\/4 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*o - 2*o - 7*o)*(3*o**3 - 4*o**3 + 2*o**3).\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -22062, -22258, -22462, -22680, -22918, -23182?\n\"Answer: -f**3 + 2*f**2 - 195*f - 21868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (((-302)\/(-9513))\/(4\/9) - (-3110)\/(-28))\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 17*p**2 + 144*p - 2586. Give a(17).\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1731, -13, -4 in increasing order.\nAnswer: -13, -4, 1731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1972373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2000866 a multiple of 833?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 7*b**4\/6 - b**3\/3 - 3*b**2\/2 - 17*b + 1. Suppose p - 1 = -w - 0, 4 = -5*w - 2*p. Is g(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f**2 - 2*f + 9. Let p(n) = 2*n**2 + n - 4. Suppose 251*l - 115 = 250*l. Let u be (-8)\/10*l\/46. Determine u*b(g) - 5*p(g).\nAnswer: -2*g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -3 in descending order.\nAnswer: 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 310 + 301 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 2*w - 26 = 0, 2*w + 37 = -2*c + 3*w. What is the units digit of (12\/c)\/((-2)\/48)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 12*j. Let q(d) = 155*d + 658*d**2 - 312*d - 313*d**2 + 157*d. Calculate q(s(m)).\nAnswer: 49680*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -1\/5, 0.4, -2.2, 4, 77 in decreasing order.\nAnswer: 77, 4, 0.4, -1\/5, -2\/9, -2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*c - 214 - 1396 = 90, 0 = -3*x + 3*c - 2*c + 7 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 934260?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162753 is divided by 7200.\nAnswer: 4353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 547 + -560. Let g(y) = y**2 - y. Let z be g(5). Let m = n + z. What is the remainder when m is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0031712072 to four dps.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.174 + 0.374. Let z = -8 - -10.2. Let v = z - 2.1. What is the closest to 4 in v, u, -0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1324213.62325?\nAnswer: -1324217.62325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12294, -47509, -106202, -188367, -293998, -423089?\nAnswer: -575634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**3 + 3*y**2 - 2*y + 4. What is v(3)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30567888 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-2)\/(-16)*-8. Suppose l*m - 9*m + 15 = 0. Solve 5*s - 3*s + t = -6, m*t = s - 19 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 65602188, 65602184, 65602178, 65602170, 65602160, 65602148, 65602134?\nAnswer: 65602118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 1010430?\nAnswer: 1010433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 8 = 13*w. Let n(h) = -h. Let d be n(4). Let p = d + w. Put p, -2, 1 in ascending order.\nAnswer: p, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(2\/9)*r)*r**(-2\/5))\/((r**(-2\/5)\/r)\/r*r)**(-2\/21)*r**(4\/7)*r\/r**1*(r**1)**(-27) assuming r is positive.\nAnswer: r**(-8563\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 324327.4ml in litres?\nAnswer: 324.3274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*d**2 + 85*d - 36*d - 48*d.\nAnswer: 43*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -9. Suppose 94 = n*d + 3*t, d + 4*d = t + 82. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-16)\/(-5) + (-3)\/15. Solve -2*f = -5*a - 8, -5*a + 0*a + s*f = 12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -417 + 412. Sort -18, 5, z in increasing order.\nAnswer: -18, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*n - 0. Let i be 1*(-4 - (-1)\/n). Let g(f) = 731*f**2 + 92*f - 6 - 730*f**2 + 4 - 90*f. Let p(t) = -3*t + 3. Determine i*g(y) - 2*p(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in 47, 5, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in eighteen fifths of a meter?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 AM and 3:19 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 19656569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 4:52 AM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*j**2*q**2 + 15*j**2 + 48*j*q**2*r - 2*j*q*r**2 - q**2*r**2 - q*r**2 + q wrt q.\nAnswer: -4*j**2 + 96*j*r - 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*k**4 - k - 7*k**4 - 200541 + 200587 with respect to k.\nAnswer: -204*k**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 4:23 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + 10*g**2 + 3. Let h be k(10). Calculate the lowest common multiple of 44\/h*6\/4 and 111\/5 - (-2)\/(-10).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 244129, 244130, 244131, 244132?\nAnswer: 244133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/2 + 16\/(-62). Let i = 26\/341 + x. Let g(b) = -b**2 + 604*b + 23718. Let c be g(-37). Sort c, i, -8\/7.\nAnswer: -8\/7, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + (29377 - (-2 - (0 + -1))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*n**2 + 25*n**2 - 4 + 30*n + 2 to w*n**2 + f + y*n and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(65) + sqrt(65)*-2)*-2 - sqrt(65) - sqrt(65))\/(sqrt(720)*-3) + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - m - 8, -m + 42 = j + 3*j. Let r = -7 + j. What is the third derivative of 3*s**4 - r*s**4 + 39*s**2 - 4*s**5 - 35*s**2 wrt s?\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(5500) - (sqrt(5500) - 2*sqrt(5500))))\/(-6*-2*sqrt(80))*-2)**2.\nAnswer: 275\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9774603 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 33 = -2*y, 0 = 5*y - 3*a - 2*a + 45. Suppose 3*m - 5*h + 23 = 0, -13 = m - 5*h + 2*h. Put m, -5, y in decreasing order.\nAnswer: m, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-87)\/4)\/(89394\/119192)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 196bd8 (base 14) to base 8.\nAnswer: 3342352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(1\/3))**(4\/3))**(4\/5)\/(r\/(r**(-2\/15)*r)*r**(-2\/5)\/r*r\/(((r*r**2*r*r)\/r)\/r*r)*r*r**(-2)) assuming r is positive.\nAnswer: r**(269\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 144 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 467, 683, 1271, 2417, 4307, 7127?\n\"Answer: 31*c**3 - c + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14297678 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.216889 nanograms in kilograms?\nAnswer: 0.000000000000216889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.955115ml?\nAnswer: 0.004955115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1953 - 4236. Let r be ((-165)\/9)\/5*d. Suppose r = 17*i - 4974. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/a**14))\/a)**44 assuming a is positive.\nAnswer: a**572","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5302 - 23?\nAnswer: 5235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -25*h + 17. Let v(k) = -17*k + 6. Let y(m) = -6*m + 2. Let d(t) = -3*v(t) + 8*y(t). Determine 51*d(n) + 6*z(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*p - 60 = 323*p for p.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 237.51, -6\/17.\nAnswer: -3, -6\/17, 237.51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + -27. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1849*b - 585 = -1859*b + 105 for b.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uw when two letters picked without replacement from uvevveuuwvuuuwuuuww?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108 and 296604.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 35846.19545 to the nearest one hundred.\nAnswer: 35800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*d - 6. Let m = 2 - d. Suppose -16 = -m*h - h. Calculate the greatest common factor of h and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(245) + sqrt(245) + 1)*6 + 5.\nAnswer: 9 + 84*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (7\/7)\/((-2)\/4). Put w, 7, -1 in increasing order.\nAnswer: w, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -24*c**3 + 4*c**2 - 2*c - 4. Give s(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9174 and 66998?\nAnswer: 2210934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517310 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1191 + -1194. Let s = -0.35 - -0.05. What is the closest to -0.06 in s, w, -1\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -106 + -24. Let z = 91 + x. Which is bigger: z or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2.6, -2, -0.1?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times 0.09?\nAnswer: 0.0072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -377, -373, -367, -359, -349, -337?\n\"Answer: s**2 + s - 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3514 (base 7) to base 12.\nAnswer: -8b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 + 6224*g + 6220.\nAnswer: 4*(g + 1)*(g + 1555)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4188*(9\/27)\/1 and 4?\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 42*f**3 + 10*f**2 - 32*f - 5. Let y(k) = -21*k**3 - 6*k**2 + 19*k + 3. Let l(z) = 3*r(z) + 5*y(z). Give l(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 3. Suppose 2*x - 4*v = -10, -v + 25 = -5*x + 3*v. Let r be n(x). Let m(y) = 2*y**3 - 4*y**2 + 2*y + 2. What is the units digit of m(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 0.4 (c) -0.2 (d) 8.4 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**5\/60 - g**4\/4 - 2*g**3\/3 + 7*g**2. Let i be m(-5). Calculate the highest common divisor of 29 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -49\/3 (b) 713\/11 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 39. Let z be v(-14). Solve p = 6*p + z for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**4 - 5*l**4 + 4*l**4)*(-2 + 2 + l) - 10*l**3 + 10*l**3 - l**5 + (-2 + 2*l**4 + 2)*(-4 - l + 4) + (l**3 + 3 - 3)*(-2*l**2 - 3*l**2 + 3*l**2).\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -240.865 * -1.9\nAnswer: 457.6435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + v - 7, 3*d + 514*v - 11 = 512*v. Let z(s) be the first derivative of 4*s - 10\/3*s**d + 0*s**2 - 5. Differentiate z(h) wrt h.\nAnswer: -20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**4 + j**4 - 5*j**4)*(1 + 1 - 3) + (6*j - 3*j - 4*j)*(5*j**2 - 4*j**2 + 8*j**2)*(0*j + 0*j + j).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1349 is divided by 192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -198*v - 138*v**2 - 54*v**4 + 3\/2*v**5 + 393\/2*v**3 + 192 = 0. What is v?\nAnswer: -1, 1, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(-19)*l))**(-2\/51)\/(l\/l**(-2\/23)*l**(1\/6)*l) assuming l is positive.\nAnswer: l**(-2345\/782)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 617 - 650.3. Let y = j + 33.5384. Let w = y + -0.24. Round w to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75944, -77797, -79650, -81503, -83356?\nAnswer: -85209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x - 5*b, 5*x + 5*b - 2 = 8. Suppose a - 1 = x. Let u(f) = f**2 - 2*f + 8. Let h be u(4). Solve r = -a*r + h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*r + 1)*(-r + 3 - 3)*(4*r**2 + r**2 + 11*r**2) to the form x + b*r**4 + v*r**3 + u*r + h*r**2 and give b.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9\/144)\/((-1)\/2). Put 4, b, 0 in increasing order.\nAnswer: b, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 - 42847.20299?\nAnswer: -42953.20299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.019867447 to five decimal places.\nAnswer: 0.01987","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 62927.86 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21 + -22 + (28 - (2 - 3))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3420 and 596340?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32a3 (base 12) in base 14?\nAnswer: 2079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 91*p + 2. What is the tens digit of v(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b = -2*o, 4*o = -b - 2. Suppose -k - 6*z + 4*z + 19 = 0, -5*z + 43 = b*k. Suppose 0 = 2*n - n - k. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 7. Let x be w(-7). Suppose x = -3*g + g + 80. Suppose 109 = 5*j - 3*s, 0*s + g = 2*j - 3*s. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-11) - 1404\/(-99). Suppose 5*v = 89 + 126. Suppose 0 = 3*m + o - v, 2*m - 4*m + 33 = 5*o. What is the greatest common factor of m and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 51 - -273?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 640\/(-70) - -7)\/((-5)\/70*4)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215 - 213.8. Let y = c - 1.1. What is the nearest to y in 4, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*c + 5*c + 22 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 + 21*x**2 - 24*x - 48. Calculate s(-22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*o + 24*o = 11*o + 7*o - 179, 33*o + 66 = 0 for j.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 t when two letters picked without replacement from {k: 7, c: 6, t: 1, l: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 46, 83, 114, 139?\nAnswer: 158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5535 and 1220283.\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*a - u = -7, 3*a + 5*u - 29 = 0. Suppose -3*f + j + 9 = 0, -j = 6*f - a*f - 3. Solve -2*o - 5 = -6*c + 3*c, -3*c - f*o + 13 = 0 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5 - 17*y + 6*y**2 + y**3 + y + 8*y. Let t be c(-7). Let o be 1*(t + -6 + 3). Sort o, 0, -3, -2 in decreasing order.\nAnswer: 0, o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6012 or -21\/929?\nAnswer: 6012","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o - 6*o + 2*o + 2*o - 2*o - 2*o + (-o - o + 0*o)*(1 + 6 - 5) + 8*o - 3*o + 2*o to l*o + d and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-123)\/(-84) + (-6)\/8. Which is smaller: 2 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1938 is divided by 483?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -31*t**2\/3 + 3524*t - 40800 = 0.\nAnswer: 12, 10200\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 172 = -4*l. Let o = -15 - l. Suppose 5*x - o = x. Calculate the highest common factor of x and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(525\/(-156)) + (-37)\/((-1036)\/(-42))\nAnswer: -1\/70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 6:05 PM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccu. Give prob of sequence cc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 692285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7920) - (sqrt(7920) - sqrt(7920)*-3))\/(sqrt(320) - 2*sqrt(320)).\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v - 4*v + 5*v)*(415 + 2*v + 272 + 1047 - 123) as h + f*v + p*v**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 7*p - 575. Let r = -47 + p. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -20743070976 and -4.\nAnswer: -20743070980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -2268*z + 2270*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 49*c**2 - 93*c + 293. Let k be y(47). Solve k*r = 349*r + 18 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14697 + -5698. List the prime factors of f.\nAnswer: 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8397 - 4659. Suppose -4*o + h = -3026. Let k = o + -1060. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740693173 to the power of 1\/2, to the nearest integer?\nAnswer: 27216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 218 = p + 2*p, -g + 282 = 4*p. Calculate the greatest common divisor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1073673.3341 + -34?\nAnswer: 1073639.3341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 444647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 - 9 + 7)*(-q + 2 - 2)*(-3*q + 7*q - 2*q).\nAnswer: -82*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k**4 + 4*k**3 - 1 - 12*k**3 - 430*k**2 + 433*k**2 as l*k**4 + h*k**3 + x*k + n*k**2 + b and give h.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2 - 2)*(4 + w**3 - 4) + 4208*w**3 - 6 - 4209*w**3 + 3*w**2 + 9*w**2 - w to the form s + f*w**3 + z*w**2 + p*w and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - 1e420?\nAnswer: -1e41a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -v + 79 + 150, n + v = 73. What are the prime factors of n?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.27691 rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 13*a - 35. Give j(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -322e (base 15) to base 9\nAnswer: -15508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -0*i - 2*i + 6, -3*a = -3*i - 3. Let b(f) = -f**2 - 1. Let v be b(0). What is the least common multiple of i\/(0 - v) + 3 and 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -387812 + 1.\nAnswer: -387811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-8))\/(3\/(-12)). Let q = -3 - t. Let b be (q - -3) + -2 + 0. Solve -3*p = b*d + 24, 4*p + 7 + 28 = -5*d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10417721?\nAnswer: 773, 13477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*s - 6. Let b(i) = -i. Let j(c) = c**2 - 3*c + 17. Let f(y) = 6*b(y) + j(y). Let g be f(s). What is the greatest common divisor of 18 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11843*c**2*h**2 + 104*c**2*h - 3*c**2 - 62*c*h**2 + 896*c - 17*h**2 wrt c.\nAnswer: 23686*h**2 + 208*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-3)\/a)\/a)\/(a\/(a*a**(1\/10)*a))*(a\/a**(-1))**13)\/(a**(1\/4)\/a*a*a**(-1)\/a)**(18\/11) assuming a is positive.\nAnswer: a**(1373\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115 - -86) + (6 - -34)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -m + 2. Suppose 0 = -4*n + 5 + m. Let 2*z**2 - 3*z**n + z + 0*z - 2*z = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 44 = 10*i. Let q(c) = -c**3 + 6*c**2 + 2*c - 4. Does 26 divide q(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 117*d**4 + 65*d - 62*d + d**3 + 24 - 115*d**4 - d**3 to m*d + x*d**4 + t*d**3 + j*d**2 + y and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 164*n - 160*n + 23, -3 = -t + 4*n. Sort -69, t, 2, -9, 4 in decreasing order.\nAnswer: 4, 2, t, -9, -69","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*s + 7, -z - 5*s + 13 = -0. Solve -3*j = -d - 9, -5*j + 30 = z*d + 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 - 0. Let r = u + 2. Solve q + 0*q = 4*o - 11, 32 = r*q + 3*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 431\/3 - 141. Which is bigger: 3 or x?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4435805 is divided by 71.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3125 - 3133. What is the closest to 3 in -2, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 100*a**4 - 12580*a**3 - 467604*a**2 - 547452*a - 162864 = 0.\nAnswer: -29, -3\/5, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8466691.17596 and -1?\nAnswer: 8466690.17596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23229332.\nAnswer: 2, 7, 16931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 20*k**2. Let r(i) = 10*i + 50818. What is r(w(b))?\nAnswer: 200*b**2 + 50818","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (212 + 229*q - 212)*(0*q - q + 4*q).\nAnswer: 687*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*n + 58 = -30. What is the least common multiple of 170 and n?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, x: 2, c: 6, u: 2}. What is prob of sequence ux?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.6 (b) -2\/7 (c) -3 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170060 and 9276.\nAnswer: 510180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1 - -1 - ((2 - 2) + -166)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222200122 (base 3) to base 8.\nAnswer: -46001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of 23*r**7\/7 + 7*r**3 - 18. What is the third derivative of c(n) wrt n?\nAnswer: 2760*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10*(-8)\/(-112)*(-2)\/(-5). What is the nearest to g in 1\/3, 2\/5, -3, 19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r + 0*r + 4*r)*(-r**3 + 0*r**3 + 2*r**3) + (-r**3 - 6*r**3 + 3*r**3)*(3*r + 2*r - 48*r) as w*r**3 + y*r**2 + p + b*r + g*r**4 and give g.\nAnswer: 174","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**2 - 71*v - 720. Let s be f(-9). What is the closest to 6 in -2, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - ((3 - 4) + -2). Suppose 2*i = 3*n - 6*n - 6, 0 = -2*n + k*i + 15. Solve n = -d + 3 - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q + 15*q - 225 = 0. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 24*s + 6*s**2 + 28*s - 54*s as t*s**2 + k + w*s + b*s**3 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.097 + -225831088.\nAnswer: -225831087.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*u**3 - 16*u + 5*u**3 + 12*u)*(2*u + 0*u - 3*u) in the form g*u + h + s*u**2 + z*u**4 + v*u**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17255\/(-19720)*16\/1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 1 + (-3 + sqrt(343)*-2 + 5*(1 + sqrt(343)))*5 + 1)**2*-1.\nAnswer: -77464 - 3570*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 11744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w**3 + 0*w**3 + 2*w + 2*w**3 + 0*w - 9 + 8*w**2. Calculate the remainder when a(8) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in three quarters of a microgram?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Does 3040 divide 43268320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 11\/(-21) + (351\/(-91))\/27. What is the fourth smallest value in q, 25, -4\/9, 2?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 907660.\nAnswer: 2, 5, 13, 3491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 2*y**2 + y + 1. Suppose 0 = -4*l - 12, 15 = -0*r + 3*r + 2*l. Suppose -3*b = 4*n - 6*b - r, -5*n + 4*b = -10. Determine a(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/(-2) - (6 + -7 + 3). Solve k*b = 4*o - 20, 4*o - 3*b = 11 + 11 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-33)\/(-10) + (-12)\/40. Solve 3*i = u*n + 3, 5*n + 7 = 3*i + n for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 10*p - 20. Let o(h) = h**2 + 2*h - 5. Let n be o(p). Suppose -7*x = -n*x - 12. Solve -3*i = x*m - 15, 5*i = 2*m - 0*m + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*d**3 - 9*d**3 - 3*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -143 + 1?\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1021221220 - 10?\nAnswer: 1021221210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1117 is divided by 242\/4 - 43\/(1978\/(-69)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(304) + 2)*4)**2 + -4 + -3 + 2 + sqrt(304) + 1 + (-5 + 1*sqrt(304) + sqrt(304))**2.\nAnswer: 1204*sqrt(19) + 25877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 419028713 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r**2. Let w(k) = -23*k. What is w(y(b))?\nAnswer: -161*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -145896, -583579, -1313050, -2334309, -3647356?\n\"Answer: -145894*x**2 - x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 16 = -2*r, -4*x = -3*r + 4. Suppose x*z - q - 43 = 0, -34 = -2*z - q - q. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 76?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/8))**28\/(f**(-2\/37)*(f**9*f)\/f) assuming f is positive.\nAnswer: f**(-403\/74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - (4*(sqrt(77) - (-1*sqrt(77) - sqrt(77))) - sqrt(77)))\/(-1*sqrt(11)*5).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -22*s + 34. Is t(-12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 4005?\nAnswer: -4013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 209 + -149. Suppose 3*a - 24 - r = 0. Calculate the smallest common multiple of a and (-9)\/(-132) + (-9135)\/(-1540).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x - 21. Let t(s) be the second derivative of s**3\/6 - 5*s**2 - 82*s - 5. What is -13*t(p) + 6*v(p)?\nAnswer: -7*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 - 4. Suppose -r*o + 190 = -17*o. Suppose 2*s + 1 = o. What are the prime factors of s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5922?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3717 is divided by 112?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*-5*-2*((5*(-1 + sqrt(684) + sqrt(684)) - (sqrt(684) - (sqrt(684) - (-1 + (sqrt(684)*-1 - sqrt(684)))))) + 5))**2.\nAnswer: -1418356800 - 2073600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46213 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ykykkykylyykyyykkyyk. What is prob of sequence lyy?\nAnswer: 11\/684","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Let a = -0.87 + 38.87. Which is smaller: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 368\/248987?\nAnswer: 368\/248987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52 and 458231917.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-484*t**3 + 14*t**4 + 484*t**3)*(t + 3 - 4 - 4*t).\nAnswer: -42*t**5 - 14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - -1)\/2 - -63. Let q = 77 + -114. Let g = z + q. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/6 and (-3 - (-411)\/36) + -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h = 64 + 116. Let s(x) = -8*x - h*x + 8*x. Let k(p) = -12*p**2. Calculate s(k(w)).\nAnswer: 108*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25475?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1104466 and 21398.\nAnswer: 1646","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1512000\/769 or 1966?\nAnswer: 1512000\/769","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2\/3 + 11839*s\/3 - 2060780 = 0?\nAnswer: -12340, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 17 = -3*q - 61, 3*q - 42 = -4*t. Solve -124 = -t*i - 34 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -44, -52, -74, -116, -184, -284?\n\"Answer: -i**3 - i**2 + 2*i - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 13950 = -3*i, 2*a - 3*i - i - 9330 = 0. List the prime factors of a.\nAnswer: 5, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 - 6*f - 6. Let a(b) = 3*b + 8. Let s be a(-4). Let y be ((-17)\/(-2))\/(1 + 2\/s). Let l(q) = 9*q**2 + 17*q + 17. Calculate y*o(k) + 6*l(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 165, 176, 189, 204?\nAnswer: 221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1712 divide 264507424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 361945.\nAnswer: 5, 191, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222*n + 223*n = 34. Let f(z) = -14 + n + 37*z - 11 - 8. What are the prime factors of f(3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*m + 24 = 0, -4*d - 4*m = -2*d - 48. Calculate the lowest common multiple of 33 and d.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 933205.\nAnswer: 5, 7, 13, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -33*l - 20. Let b(j) = 11*j + 7. Let g(i) = -17*b(i) - 6*o(i). Is g(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126793951 to the power of 1\/2, to the nearest integer?\nAnswer: 11260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1961800 rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -153332130092.50139 - -153331380762. Let a = -749309 - o. Let f = 21.5 - a. Round f to four dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 6*u**2 + 4. Suppose z + 58 = 59. Let n(x) = -x**2 + 1. Determine z*h(g) - 6*n(g).\nAnswer: -g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70923671.\nAnswer: 7, 13, 823, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/(5\/315). Is 12 a factor of i - (-6)\/((-6)\/(-3))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1008)\/96*(-2)\/(-36)*(-22 + 0). Sort 6, 0, z in decreasing order.\nAnswer: z, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389681400.\nAnswer: 2, 3, 5, 649469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 40819 and -0.4.\nAnswer: -16327.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4046 is divided by 289.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -8753?\nAnswer: -8750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2\/5 - 2108168*l\/5 + 555546539528\/5.\nAnswer: 2*(l - 527042)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2192, 6652, 11112?\n\"Answer: 4460*o - 2268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 27*p**2 + 7*p - 16. Is r(21) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 580264117 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3700*g**4 - 9944*g**4 + 2377*g**4 + 2*g**4 + g - g + (3 - 3 - 2*g**2)*(-5*g**2 + g**2 + 2*g**2).\nAnswer: -11261*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x + 4*x**3 - 5*x - 3*x**3 to i + q*x**3 + a*x**2 + s*x and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 2165582?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12.9 + 42.1. Let z = c + -60.6. Let s = z + 6. Is s > -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/192)\/(93\/14632*59)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 28040712 and 378.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.14, -56, 13, -25?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00058315 to six decimal places.\nAnswer: -0.000583","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 114*a**2 + 387\/7 + 1041\/7*a + 18\/7*a**3 - 3\/7*a**5 - 129\/7*a**4 = 0.\nAnswer: -43, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1947, 1947, 1957, 1983, 2031, 2107, 2217, 2367?\nAnswer: 2563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*u**2 - 2 - 17*u**2 + 15*u**2 - 21*u**2.\nAnswer: -42*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 124268603?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 17 - 6 - 15 - (-3 + 3 - 1) - -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10, 15, 92, 245, 498, 875, 1400, 2097?\n\"Answer: 4*d**3 + 2*d**2 - 9*d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8431*q**3 + 9*q**2 + 8431*q**3 + 212*q**6 + 31*q**2 wrt q?\nAnswer: 25440*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 70*q**3 - 1511*q**2 + 201*q - 46267812.\nAnswer: 210*q**2 - 3022*q + 201","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1710228 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44160, -44139, -44106, -44061?\nAnswer: -44004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + 1 - 6)\/(-3). Solve -d + 0 - m = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -68.53 to the nearest integer.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*y - 17*y = 3*p - 1515, 2*p + 5*y - 1003 = 0. Is p a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**4\/12 + 11*a**3\/6 + 13*a**2 - 7*a. Suppose -o = -0*o - 7. What is the remainder when n(11) is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104936322 is divided by 64142.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -111 + 121. Calculate the remainder when 7 + (-30)\/3 - -15 is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 2, 292, 5 in decreasing order.\nAnswer: 292, 5, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14238 divided by -7?\nAnswer: -2034","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 16) to base 7.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -25\/2. Let m = -2753 - -2752.95. Which is the closest to 0.1? (a) m (b) l (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**4 - 616*j**3 - 23300*j**2 - 260000*j = 0.\nAnswer: -104, -25, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**2 + 3*w**2 + 10*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 8887830 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v + 1. Calculate the common denominator of l(-8) and 149\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 646*p**3 - 278*p**3 - 282*p**3.\nAnswer: 86*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106903?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of 4*o**5\/5 + 12*o - 7. What is the first derivative of x(j) wrt j?\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/280 and -29\/420?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r - 12. Let u be q(-8). What is the highest common factor of u and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -44574*y. Let v(a) = -10058*a**2. Give v(k(w)).\nAnswer: -19983651565608*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 5*t + 3*t - 6 + 4*t**2 - 2*t. Let c be -3 + -4 + 11 - 0. What is the units digit of z(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (540090\/12355)\/((-18)\/28).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - d + 64, -4*f + 126 = -2*d + 3*d. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -104f (base 16) in base 5?\nAnswer: -113200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2 + 0 + f**4 + (12*f**2 - 5*f**2 + 3*f**2)*(2*f - 2*f + f**2).\nAnswer: 11*f**4 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**5 - 3*z**2 + 19*z**2 - 10*z**2 + (13 - 101*z**2 - 13)*(z - z - z**3).\nAnswer: 106*z**5 + 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001787975682 rounded to 7 dps?\nAnswer: 0.0000179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.6586 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -s**3 + 5*s**2 + 2*s - 3*s**2 - 4*s**2 - 26*s**4 + 29*s**4 in the form r*s**2 + i*s + a + y*s**3 + v*s**4 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l and 1 b when four letters picked without replacement from clcbllcblblclb?\nAnswer: 80\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27.593 + 1.407. Which is the biggest value? (a) 2 (b) f (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, b: 5, l: 2, s: 6, c: 1}. Give prob of sequence cr.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 3*p - 16. What is the greatest common factor of p and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*h + 2 + 10 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s - 5599*s**3 - 257*s**2 + 256*s**2 + 4*s.\nAnswer: -5599*s**3 - s**2 - s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**4 + 328752*n**3 - 1315021*n**2 + 986268*n = 0.\nAnswer: -328756, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 1049*t - 405 + 132 + 134 + 136 as b*t + u and give b.\nAnswer: 1049","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 5*j + 149179 = 0, 0 = -s + 13*j - 8*j + 49753. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3940.7814 * -0.05.\nAnswer: 197.03907","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508624 is divided by 1110?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -612\nAnswer: -5\/612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 4. Let r be d(-2). Solve r*k = -5*k - 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.1, 0, 11, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**2 - 5*g - 1. Let y be x(-5). Let d(c) = 5*c**2 + c + 1. Let h be d(y). Let r = -64 + 104. What is the greatest common divisor of r and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -47? (a) -2 (b) -5 (c) -80 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 27 = -53. Let i be (117\/9 - -234)\/(11\/13). Let f = i + -292. What is the biggest value in f, c, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 207883770 by 2.\nAnswer: 103941885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 273 + -272.7. Which is the fourth smallest value? (a) z (b) 3 (c) -0.2 (d) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*r - 3 + 3)*(-2 + 0 + 1)*(-4 + 2*r + 4)*(8 - 3 - 21).\nAnswer: -448*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1627561, 1627556, 1627549, 1627540, 1627529, 1627516?\n\"Answer: -t**2 - 2*t + 1627564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/196068 and 39\/475203476.\nAnswer: 1425610428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4575 = -10*f - 1615. What is the remainder when f is divided by 33?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 11*n**2 + 231*n - 2170. Determine r(17).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -390 - -421. Let h(s) = -2*s - 7 + j - 4 - 20. Let k(y) = -5*y + 6. Calculate h(k(m)).\nAnswer: 10*m - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (45\/(-5))\/(-3)*1\/(-3). Find the common denominator of -17\/36 and (90\/(-78) - n) + 1431\/(-1092).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of 3*i + 0*i**3 - 1\/12*i**4 + 0*i**2 - 3\/20*i**5 + 0. Find the third derivative of w(h) wrt h.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the third derivative of -i**4\/6 - 11*i**3\/6 + 10*i**2. Let k be v(-4). What is the remainder when (48\/10)\/(0 - k\/(-25)) is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 395411\/226290 + 1\/226290. Let j = 17\/38 - t. What is the common denominator of 1 + -2 + (-131)\/(-18) and j?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 AM and 10:52 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 6\/5, 5400?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2 - 8. Let u be 4 - (-1)\/2*0. Let x be (u - 3)\/(q\/4). Solve -2 = l + o + 3, -x*l = -5*o - 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34974 to the power of 1\/2, to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4862583282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 31 + (1 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2 + 7)*(-4*c**2 + 4*c**2 + 2*c**2 + 0*c - c**2 + 0*c - 2 + 2 - 2*c**2 + (3 - 3 + 2)*(-2*c**2 + 2*c**2 - 2*c**2)).\nAnswer: 15*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (52*z - 52*z - 3*z**2 - 2)*(-20*z - 2 + 13*z - 13*z) in the form f*z + y*z**3 + x*z**2 + g and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**3 - 3*n**2 + n - 2. Determine j(-2).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 42287.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1876 is divided by 295.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -4*a**3\/3 + 9*a**2\/2 - 2*a. Suppose 7 = 4*c + 35. Let s be o(c). Calculate the highest common divisor of 26 and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of d*s**2 - 3*d*s - 1612167*d + 187067032*s**2 wrt d?\nAnswer: s**2 - 3*s - 1612167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.046047563 minus 0.15?\nAnswer: -0.103952437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(704) - (sqrt(704) + -3 + sqrt(704))*-2) + sqrt(704) + -4 + (3 + sqrt(704))**2 + 1)*-1.\nAnswer: -708 - 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 8. Determine a(12).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {b: 5, o: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from yazgnaynngnanzg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -313 + -3?\nAnswer: -322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 649294980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/7, -1, 90909 in ascending order.\nAnswer: -1, -3\/7, 90909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5204*k**2 - 781*k**2 + 441*k**2.\nAnswer: -5544*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 4, -1\/1062, -98531?\nAnswer: -1\/1062","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 5*d + 55, 0*w - 5*d = -w + 7. Let n(h) = 2 + 1 + 13*h + 4 - w. What are the prime factors of n(12)?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fppfppppppp. Give prob of sequence pffp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17171886*-0.2.\nAnswer: 3434377.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16752670 is divided by 271?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**2 - 3*u - 7. Let d = 45 + -20. Suppose -4*c = -s - 2*c + 5, 5*s - d = 4*c. What is the smallest common multiple of s and a(6)?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a - 1073 - 2833 + 7*a + 2*a. Let v(z) = 4*z - 3905. Let t(o) = 6*u(o) - 7*v(o). Is t(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3246*f. Let z(k) = 7*k. What is g(z(w))?\nAnswer: 22722*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + q - 8*q. Suppose f + 6 - 12 = q. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 573121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t = 10*t - 58 - 134 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*t + 9 = 207*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 + 28 = a + 2*s, -12 = -4*s. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 2, f: 2, k: 1, z: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 4*i + i)*(18 + 10 - 17)*(-3*i + 0*i + 5*i).\nAnswer: -66*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 8 - 8)*(-1 + 1 - c + (0*c + 3*c - c)*(2 - 2 - 2) + 24 + 6*c - 24).\nAnswer: -13*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 2*n - 6*n + 2, -2*n = -4*d + 24. Suppose 2 = -k + d. Is k\/((-9)\/(-30)) + -1 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6*(-12)\/8. Which is smaller: p or 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -133 + 411 + 48*p**2 - 143 - 136 + p**3 + 7*p**2 to z + d*p**3 + u*p**2 + x*p and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1502*h**3*i + 230*h**2*i**3 + 8*h*i**3 - 34*i**3 - 18 wrt h.\nAnswer: 9012*h*i + 460*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(6655) + -2*(sqrt(6655)*-4 + sqrt(6655)) + sqrt(6655))\/(sqrt(320) + (sqrt(320) - (sqrt(320) + sqrt(320)*-1 + sqrt(320)))*6).\nAnswer: 3 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -222*l**2*y - 177322*l*y + 5642672*y wrt l.\nAnswer: -444*l*y - 177322*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2064900 divided by -172075.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 2 d when four letters picked without replacement from {t: 4, d: 3, m: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wsswwwwsswwywyww. What is prob of picking 2 w and 2 s?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48262.\nAnswer: 2, 59, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1851? (a) -1 (b) 3.6 (c) -2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000320543 rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -399871*o + 2*o**2 + 2 + 199934*o + 199937*o.\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 11 + 14. Suppose 0 = -4*a + 20, -55*b + 54 = -51*b - 2*a. Sort -9, b, -1, j in descending order.\nAnswer: b, j, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.9 - -1. Let w = 16627 - 115281\/7. Let h = 158 - w. What is the second smallest value in 0.3, u, h?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*r**2 + 403759 + 1865*r**6 - 403667 + 4*r**2 wrt r.\nAnswer: 223800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8015 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 0*b = 0. Let w = -31 - -43. Solve b = 5*u - 2*u + w for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -19. Let l(r) = 3*r**2 + 9*r + 3. Is 4 a factor of l(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 10*z + 13. Let w be j(0). Let m = -11 + w. Suppose m*c - 76 = -5*k, 3*k - 43 - 29 = -2*c. Is c a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 times -0.62?\nAnswer: 86.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 265301 or 0.5?\nAnswer: 265301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from flffflrrffrr. What is prob of sequence frfr?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 49 = -5*f, n + 7*f - 3*f + 32 = 0. Let z(q) = -8*q - 39. Is z(n) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -334 + 1673\/5. Let y = 2.5 + -8.5. Which is the biggest value? (a) 2 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4120?\nAnswer: 2, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xkx when three letters picked without replacement from {n: 6, k: 3, j: 1, l: 1, i: 4, x: 5}?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -40, -1574, 5 in decreasing order.\nAnswer: 5, 4, -40, -1574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.24528*4.\nAnswer: 0.98112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24013077 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13705*y**5 - y**4 - y**2 + 18*y + 120.\nAnswer: 822300*y**2 - 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 356*b**3 - 521*b**3 + 0 + 0.\nAnswer: -165*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 279 = -501. Let q = 366 - y. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(832) - ((sqrt(832) - (sqrt(832) + 1 + sqrt(832))) + 4)))**2.\nAnswer: 32*sqrt(13) + 3329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3473 = -4*a - 7*n + 4*n, 3*a - 2607 = -3*n. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 7 = 5*f. Let c(n) = -n**2 - 2*n. What is c(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3463 or -27693\/8?\nAnswer: -3463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -635*d**2 - 78*d + 6. Let t(q) = 1905*q**2 + 221*q - 17. Determine -6*t(u) - 17*w(u).\nAnswer: -635*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**2 + 1161990*l - 65055760 = 0?\nAnswer: 56, 232342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5*j**2*o**2*z - j**2*o - 105*j*o**2 + 8*j*o*z - 2*o**2*z wrt z?\nAnswer: -5*j**2*o**2 + 8*j*o - 2*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43574 + 21789 - 2*o**2 + 21785 + 2*o**2 - 420*o**3.\nAnswer: -420*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -713*f. Let t(q) = -238*q. What is 17*t(u) - 6*x(u)?\nAnswer: 232*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cctre. What is prob of sequence re?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a**2 - 61*a + 23. Suppose 104 = 4*j - 2*q + 18, -q = 1. What is the tens digit of d(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 4*k - 32285 = k, 4*k = 5*o - 32289. What is the thousands digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, g: 6, e: 2, t: 2}. Give prob of sequence pt.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (8 - (3 + 4))) + (5 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**6\/360 + 7*u**5\/120 - u**4\/4 + 3*u**3 - u + 7. Let x(h) be the third derivative of f(h). What is x(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-32)*(2576\/(-84) + 30) - (-253)\/88\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(10\/(-6) + (-10)\/(-15)). Suppose 4*b + 3*k - 2334 = 2125, 0 = 2*b + r*k - 2247. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlll when four letters picked without replacement from {e: 8, w: 2, l: 5}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -14 - (-19 - (41 - (-40 + 10)))\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 148982 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 1 - 14. Solve 3*s - 4*s = 4*m + l, -5*m = -2*s + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20100101 - 10211?\nAnswer: 20012120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r - 7*r + 3*r. Let h(q) = 2*q**2. What is c(h(a))?\nAnswer: -18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 divided by -229?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98732.\nAnswer: 2, 24683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a + 3*a**2 - 3*a - 2*a**2 + 1. Let l be (3*(-2)\/(-4))\/((-5)\/(-10)). Let o(n) = 3*n. Let f(r) = l*t(r) - 3*o(r). Factor f(k).\nAnswer: 3*(k - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/4)\/((-2)\/(8\/18))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -12 - (1 + 8 - 5) - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65) + -5*(-2*sqrt(65) + sqrt(65)) - -2*(sqrt(65) + -2*sqrt(65)))\/(-2*1*sqrt(125) - sqrt(125))*6.\nAnswer: -8*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wmvmmvmywywmmmmm. What is prob of sequence yymm?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.12, -2\/13, -0.02, 1\/2 in increasing order.\nAnswer: -5, -2\/13, -0.12, -0.02, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f + 16. Let l be r(-6). Which is the third biggest value? (a) -4 (b) -0.2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 + 4*f - 21*f**2 + f - 4*f - 2*f to p*f**3 + a*f**4 + u*f**2 + n*f + w and give u.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + 0 - 14) + -7 + -4 + 11.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39576268?\nAnswer: 2, 3089, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 923840 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in twenty-nine fifths of a century?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/((-105)\/(-12)) - 588474\/(-21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2 + 2*((sqrt(20)\/sqrt(4) + -3 - sqrt(20)\/(sqrt(8)\/sqrt(2))) + (sqrt(5) + -1)*-3 + -5))**2.\nAnswer: -648 - 288*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-4)*16\/(-24).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56, 23, -24, -91, -184?\nAnswer: -309","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h - 2*h + 2*h)*(-h**3 + 2*h**3 - 3*h**3).\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 4. Suppose 3*g - g + 5*o - 41 = 0, -3*o + 23 = g. Let u = g - 12. Let q be k(u). Solve 4*i + 20 = -t, q*i + 3*i = 5*t - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550 divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + 24 + -25 - 72.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/(-3*1\/(-16)). Let h = 292 - 278. Let x = n - h. Solve s = -x - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36423136 (base 7) to base 2.\nAnswer: 1100011001010111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29.00000325 + 29. What is s rounded to 7 dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -33 (b) -2 (c) 2\/9 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3008?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(40)\/sqrt(5) - sqrt(14)\/(sqrt(7)*2).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 4276162341118.\nAnswer: 4276162341117.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 9*m**3 + 2*m**2 - 3*m - 1. Suppose -1 = 3*d - 7. Suppose -d*w + 6 + 0 = 0. Is b(w) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72 - 81. Let r(t) = 2*t + 37. Let l be r(o). Find the first derivative of -24 - 21*z**2 + 26 - l wrt z.\nAnswer: -42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22 and -119\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z**2 - 10*z + 11. Let v(c) = 4*c**2 - 15*c + 16. Let l(y) = -7*t(y) + 5*v(y). Suppose 0 = -5*k - 218 - 152. Let p = k + 68. Give l(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/69)*(a\/(a*a**(12\/5)))\/a)\/(a**25*a*a**7\/a*a*a*a) assuming a is positive.\nAnswer: a**(-13243\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/16404 and -9\/4951274?\nAnswer: 29707644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of -7*c**4\/4 + 2*c**3\/3 - c**2 - 4069. Let s(k) = -27*k**3 + 9*k**2 - 9*k. Calculate -2*s(l) + 9*z(l).\nAnswer: -9*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.32 + -0.22. Let y be (-1)\/1 - (-11)\/9. What is the nearest to 2 in f, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-22) - (-5)\/2. Which is the smallest value? (a) n (b) -2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z - 24*z**2 + 2*z.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.7 - -1.5. Which is greater: l or -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14666, -14656, -14640, -14618, -14590?\nAnswer: -14556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4516872229 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w**2 - 10*w + 33. Calculate v(4).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 307213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 + 2. Let j = m - -7. Calculate the common denominator of 2 - (178\/24 + j) and 49\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/96 and 27\/21550576.\nAnswer: 129303456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 4*o - 24 = 0, c - 37*o + 78*o + 31 = 36*o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 12*i - 52. What is the lowest common multiple of i and 353?\nAnswer: 1059","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/((-12)\/(-3)))\/(20\/16).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*u**2 - 4*u**2 + 3*u**2)*(-14*u**2 + 15*u**2 - 27*u**2) + 67*u**3 + 3*u**4 - 67*u**3 in the form y*u**4 + w*u**2 + f*u**3 + a*u + t and give y.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 4:36 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5) - 17\/5. Let f(w) = 18*w**2 - 5*w + 7*w**2 + 11 + 10*w + 5 - 20. List the prime factors of f(r).\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + y**2 + 0 + (1 - 5 + 2)*(-5*y**2 + 3*y**2 + 0*y**2) - y**2 - y**2 + y**2 + 3*y**2 - 3*y**2 - y**2 + 153*y**2 + 70*y**2 + 19*y**2.\nAnswer: 245*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 37477 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 995.0289um to kilometers.\nAnswer: 0.0000009950289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**6\/30 - 7*o**5\/60 + o**4\/12 + o**3\/6 - 23*o**2. Let d(u) = 0. What is u?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-2\/11)*i)\/(i*i**(-8)\/i))\/(i**(-1\/3)*i*i**0) assuming i is positive.\nAnswer: i**(302\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 32*z + 136. Let i = -869\/270 + 1\/54. Is z equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/3576 and 65\/132.\nAnswer: 39336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3416525 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47476622?\nAnswer: 2, 23738311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.582351 decades in years?\nAnswer: 45.82351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l - 13*l = -30. Find the common denominator of (-4)\/l + 965\/30 and 8\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 9*p + 1. Let o(s) = -7*s**2 + 45*s + 3. What is o(w) + 6*v(w)?\nAnswer: -w**2 - 9*w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -b + 8*c + 16, 4*b - 57 = -3*c. What is the hundreds digit of -3*-2*1085\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 2 - 2*n**3 + 5. Let c be m(0). Let f = -4 + 8. Solve -3*s + f = c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2 - 284*j + 283.\nAnswer: (j - 283)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13567426 and 1.\nAnswer: -13567425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5 - r**2 - 7*r + 36 - 48. Calculate a(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -382.617 + 69.527. Let b = q - -313. What is the third smallest value in b, 0.3, -0.1, -11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5549 + 4536. Put -1\/7, 0.5, v, 5, 2 in decreasing order.\nAnswer: 5, 2, 0.5, -1\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.02 (b) 13 (c) 19\/5 (d) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1326 + -1327. Sort 5, 2, n, 219 in descending order.\nAnswer: 219, 5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 0.006552.\nAnswer: -0.093448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*6*(-6)\/945)\/((-1848)\/12320).\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, 4, 21 in decreasing order.\nAnswer: 21, 5, 4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55323610?\nAnswer: 2, 5, 17, 421, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000026029115 to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -16.4. Let s = 7.2 - 1. Let n = -0.8 - s. Put p, n, 0 in decreasing order.\nAnswer: 0, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 133 + 118. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n + 1. Let o(b) = 5*b + 3. Let l = 28 + -21. What is l*i(p) - 3*o(p)?\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.42 - -4.66. Let i = 23 + f. Let u = i - 0.24. What is the biggest value in -0.5, -4, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.15 + -2.15. Put r, -19, -4 in decreasing order.\nAnswer: r, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*u, 3*x - 7*u - 21 = -10*u. Let o be 250\/100*(66\/(-5) - x). Is -35 at most as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*o - 0*o, s + 5*o = -14. Let l = s + 8. Let x = -6 + 4. What is the closest to -2\/7 in x, l, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -2199 in decreasing order.\nAnswer: 0, -3, -2199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 2, d: 1, l: 1, k: 2, y: 4}. Give prob of picking 1 l and 1 m.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310\/(-5115)*(-4)\/((-96)\/(-108)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5.93 + 7\nAnswer: 1.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -5*9*5\/6. Let a = t - -36. Put 0.2, -7\/4, a in ascending order.\nAnswer: -7\/4, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 7*y + 70832, 16850 - 123023 = -3*m + 2*y. What are the prime factors of m?\nAnswer: 5, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41649053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {v: 7, p: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 45 + 63201?\nAnswer: 63246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -83, -178, -283, -404, -547, -718?\n\"Answer: -v**3 + v**2 - 91*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -8*j**2 - 30*j - 6. What is u(-4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x + 20. Let h be m(-5). Suppose -20 = h*p, -4*n - 2*p - p + 44 = 0. What is the remainder when 37 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20\/3, -5\/4, 280, 9, 1?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 + 92.9. Let u = 85 + -83. Sort 1\/2, q, 0.1, u in decreasing order.\nAnswer: u, 1\/2, 0.1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40 in -119, -1, -0.147, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*(sqrt(7)*3*-1 + -2) + -2 + 1)**2 + -4.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -47*p + 9. Suppose -21 = y - 4*u, 4*u - 7*u + 17 = -y. Let k be j(y). Suppose -4*m + 0*m + k = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*s = -84*s + 78644. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 7 - q + 2*q**2 - 2 - 3*q**2. Suppose -9 - 11 = -4*r. Suppose 3*g - 6 = 2*g + 5*v, 3*v - 14 = r*g. What is o(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(2880) - sqrt(2880) - sqrt(2880)) + sqrt(20) - sqrt(180)*-3)**2 - (-2 + ((sqrt(120)\/sqrt(6) - sqrt(20))*4)**2))*5*-3.\nAnswer: -30030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2616684*g + 10*g**3 + 11*g**3 + 2616619*g + 9*g**3 - 32*g**3.\nAnswer: -2*g**3 - 65*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 371*u = -5*y + 388*u + 90, 2*u + u + 20 = 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-5 + 3 - 2) + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 32030 (base 4) to base 2\nAnswer: 1110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 + 4*t**2 - 3*t + 3. Let y be u(4). Let k = -10 + 2. Let w = k - y. Are 3\/10 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 377*y**2 - 73*y**2 - 13*y**2 + (0*y + 2*y + 0*y)*(0*y + 6*y - 4*y) to the form g*y**2 + p + d*y and give g.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 1298676200 to the nearest one million.\nAnswer: 1299000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) - (sqrt(70) + 3*sqrt(70) + sqrt(70)))*-2)\/sqrt(10) - (sqrt(567) + 2 + -5*-2*sqrt(7)))**2.\nAnswer: 44*sqrt(7) + 851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64810728?\nAnswer: 2, 3, 900149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4*3\/(-108)*-9)\/(88\/(-8))\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 6*o + 10*o + 19*o - 46 - 10*o. What is the units digit of f(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2*j = -901397, 3*j + 854002 = 5*y - 47401. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**3 - 1 + 1 + (-18 + 3 + 7)*(-2*m**3 + 3*m**3 - 2*m**3) + 89*m**3 - 2047*m + 2047*m.\nAnswer: 95*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 854*b + 5291. Give u(-7).\nAnswer: -687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1629*s - 6473*s + 1619*s + 34 + 1617*s + 1622*s.\nAnswer: 14*s + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 137\/(-6) + (-3)\/18. Let h be t\/4*28\/7. Let f = 22 + h. Let a(g) = -6*g. Give a(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2273\/7 in -1, 11, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -508194 + 13719428\/27. Let u = -67 - w. Let d(a) = a - 12. Let y be d(12). Do u and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 + 13*s + 74. Calculate c(16).\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 186393 + -559177\/3. Factor 4\/9*b + 2\/9*b**3 - n*b**2 + 0.\nAnswer: 2*b*(b - 2)*(b - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*q**2*s**3 - 207*q**2*s**2 - 2*q*s - 11*s**3 + s**2 + 810 wrt q.\nAnswer: -8*q*s**3 - 414*q*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-23)*y)\/y**5)\/(y\/(y\/((y\/(y*y**(17\/2))*y)\/y))*y*y\/(y*y**(-17))) assuming y is positive.\nAnswer: y**(-73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -40*k + 22. Let s(v) = -243*v - 167*v - 470*v + 485. Let f(x) = -2*s(x) + 45*z(x). Find the first derivative of f(u) wrt u.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -664 divided by -5\nAnswer: 664\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -60? (a) -121.6 (b) -1 (c) -0.01 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-459)\/(-85)*(-115)\/69.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27628 (base 13) to base 10.\nAnswer: -73549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 101.205 and 4?\nAnswer: 404.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2 - 2*r - 1. List the prime factors of z(-4).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r + 38*r - 16 = 0, 3*j - 29 = -2*r for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -5. Let g = o - -29. What is the nearest to -1 in g, 0.5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + 4. Let i be (9\/(-4))\/((-10)\/40). Suppose 0 = -i*d + 6*d. Solve 24 = z*q - 0*q - m, d = -5*m - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a - 29 = -m - 9*a, -56396*m = -56400*m - 3*a - 16 for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5458793 tonnes to micrograms.\nAnswer: 545879300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 18*w - 8. Give u(5).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 432, 1130, 2300, 3942, 6056?\n\"Answer: 236*r**2 - 10*r + 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 190 and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -704 - -1068. What is the tens digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(7\/((-28)\/24)) - 6526. Let u = -1617 - z. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13*1100\/(-1144))\/(56\/28*2\/(-32))?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -3*a + 4*a**3 + 0*a**3 - 64 + 14*a - 59*a = 0.\nAnswer: -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49851.\nAnswer: 3, 29, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(96\/28) + (-588)\/(-48). Calculate the highest common factor of a and 818.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 17 = -21. Let o = s + -3. Solve -o = 5*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2803159, -2803144, -2803129, -2803114, -2803099?\n\"Answer: 15*z - 2803174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 926190 divided by -2259.\nAnswer: -410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8050 - -8052. Factor 8\/17 - 6\/17*p - 2\/17*p**s.\nAnswer: -2*(p - 1)*(p + 4)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4122 is divided by 2044?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -278, -279, -282, -287, -294?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101510040?\nAnswer: 2, 3, 5, 23, 36779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11459\/21284 + -11\/313. Let c = 18452 + -147581\/8. What is the common denominator of m and c?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + y = 6*y - 24, -13 = -j - 3*y. Suppose 40 = -2*c + 7*c. Differentiate -c - j - 6*r**3 + 1 wrt r.\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4975 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2132395 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6367484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 346 + -208. List the prime factors of x.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 - -91. Suppose 0 = -p - 2*a + l, 3*p - 3*a + 33 - 228 = 0. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4317 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -2 + (sqrt(350) + sqrt(350)*1*-3 + sqrt(350) + sqrt(350))\/(sqrt(24)\/(1*sqrt(12)*3)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 4 - 26. Find the first derivative of 6*a**2 - b - 2 - 7*a**3 - 6*a**2 wrt a.\nAnswer: -21*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5*(572\/44 - -1)\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b + 7. Let v be o(11). Suppose 21 = -2*n - 17. Is (n\/2)\/(2\/v) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20586350 + 9286350. What is v rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211*n**4 + 13*n**3 - 3849*n.\nAnswer: -2532*n**2 + 78*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*6\/(-4) - -2. Let t = -5 - g. Let u be 6\/t*4\/(-18). Which is the closest to 0.1? (a) 0.4 (b) u (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 79 - (((18 - 36) + 28 - 10) + 12).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30712 - 5872. What is the hundreds digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -1. Let j = s - -2. Solve -8 - 12*f - f**3 + 0*f**3 - 6*f**2 + 0*f**j = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-3\/10)*a\/(a**(-1\/13)\/a*a*a) assuming a is positive.\nAnswer: a**(-29\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 372408 divided by -4?\nAnswer: -93102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 12) to base 5\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/l**(-15))**47)**(17\/3))**(7\/3) assuming l is positive.\nAnswer: l**(89488\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73304 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*2*sqrt(200) - sqrt(200)) - ((-1 + (sqrt(200)*-1 - sqrt(200)))**2 - (sqrt(200) + (sqrt(200)*2*-2 - sqrt(200)))).\nAnswer: -802 - 50*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(3\/(-40) - 1\/8). Calculate the smallest common multiple of 11 and (t\/(-12))\/(-5) - (-252)\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -511 - -3611\/7. Is w smaller than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 3*t - 1040 + 95, 0 = -t - 4*m + 331. What is the remainder when t is divided by 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + -39. Let z = -18 - y. What is the smallest common multiple of z and 16?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-147)\/(-42))\/7)\/((-19)\/380)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1235?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 7*m + 3 = 0, 2*m = h - 19466 + 38935 - 19467 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -3, 447, -1, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5 + 63*g**4 + 263*g**3 + 333*g**2 + 134*g = 0. What is g?\nAnswer: -2, -1, 0, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2664*d = 3*h + 2665*d - 9, -5*d + 6 = 2*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/7, -0.235, -62, -0.17?\nAnswer: -0.235","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -45. Suppose 0*k + 5*k - 3*a - 493 = 0, -r*k + 197 = -a. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 95119078055.\nAnswer: 95119078056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-22)\/77)\/((-2)\/21).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (32\/(-36))\/((-1)\/6)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j = -4*i + 21*j + 992, 0 = -4*i - 3*j + 988. What is the hundreds digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d\/((d\/(d\/(d*d**(-3))))\/d*d))\/d*d)\/((d\/d**2*d)\/d))**(-23) assuming d is positive.\nAnswer: d**(-115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 + -38. What is the remainder when ((-2)\/4)\/(j\/52) is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 168 = -3*o. Suppose 0 = 5*n - 1 + 11, 5*d - 2*n = o. Suppose -d = h + 3*h, 0 = b + 2*h + 4. Solve 0 = -b*u - 0 - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2\/4 - (-37012)\/152?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 15. What is the third smallest value in -4, 1, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21420 and 2295.\nAnswer: 64260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -k - k - 22, -4*k + 28 = 5*d. Suppose 7*x = d*x - 46. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*f - 111*f + 141 - 141 - 84*f.\nAnswer: -279*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 909.9817mm to micrometers.\nAnswer: 909981.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-7) - 5\/35. Let i = -7 + 4. Let p be i\/((-6)\/(-2))*-2. Solve -p*k + 8 = -h*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 505.1167 litres?\nAnswer: 505116.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the third derivative of -j**5\/50 - 2*j**4\/15 + 4*j**2. Factor a(f).\nAnswer: -2*f*(3*f + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 14*y**5 - 3587*y**4 - 55605*y**3 - 133040*y**2 - 79084*y - 13008 = 0.\nAnswer: -12, -2, -1\/2, -2\/7, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 736289171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/(269\/(-26631))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1196234 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*t - 3*x, 4*t + 2*x = 2*t - 8. Let n(b) = -9*b + 82. Let v be n(12). What is the units digit of t\/v*632 + (-4)\/(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 350186714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**2 - 163*g + 54 = 0. Calculate g.\nAnswer: 1\/3, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 5 + 1 - 5. Let s(t) = 2*t - 2. Let q(w) = 5*h(w) + s(w). Suppose b + b = -4. Calculate q(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 383 divide 558031?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b + 181. List the prime factors of h(-37).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 138*c + 3800*c**2 - 76*c - 1498*c**2 - 62*c in the form q*c + w*c**2 + t and give w.\nAnswer: 2302","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1992?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 = -5*k - 0. Let z = k + -11. Put -4, -0.5, z in increasing order.\nAnswer: -4, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 10 = w. Let t be 19*2 - (5 - w). Calculate the remainder when (36\/9)\/(2\/t) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1, -23\/6, 5, 4 in decreasing order.\nAnswer: 5, 4, 0.1, -1, -23\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 - 26*s**2 + 23*s - 251. What is m(25)?\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 4. Let f be l(3). Let w be 0 + (f - 1) + 16. Suppose -3*p = -w - 17. What is the least common multiple of 5 and p?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 159069.\nAnswer: 2067897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15547, -31138, -46787, -62500, -78283, -94142?\nAnswer: -110083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.4 (b) 3\/7 (c) 5 (d) 37 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2406830425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 14 + -2*12\/8. Suppose -j*u - 54 = -12*u. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 45*f**2 + 2*f - 99. What is o(45)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*b + 307*b + 228*b.\nAnswer: 341*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 9) to base 8\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 - -47 - (-1 + -3 + 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*h**(-19)\/h)**(-16) assuming h is positive.\nAnswer: h**256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**5*s**2 + 181*n**5*s - 16*n**2*s + 10*s**2 wrt n.\nAnswer: -60*n**2*s**2 + 10860*n**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 148227 and 375480.\nAnswer: 523707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -4230.65075 rounded to the nearest 100?\nAnswer: -4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -4*y**4 + 179444*y**3 - 897152*y**2 + 1435408*y - 717696 = 0?\nAnswer: 1, 2, 44856","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 252 and 9268.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1732*q**3 + 5243*q - 2 wrt q.\nAnswer: 10392*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 43865233507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-4) + 28\/8. Suppose -5*b + y*a = -0*a + 77, 2*b + 5*a = -25. What is the remainder when 52 is divided by 54*((-25)\/b)\/5?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0404 + 0.9177. What is d rounded to one decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401 + 1?\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16113174 and 139508?\nAnswer: 32226348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 423 + -241. Let s = f - 560. Let w = s + 378.0000173. Round w to 6 decimal places.\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 1. Let s be (-22)\/(-2) + (2 - 25\/5). Give i(s).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1550)\/(-14105) - (-6)\/13?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*y - 0*y - 0*y. Let v(g) = g**3 - g + 1. Let p be v(y). Let n be 2\/(-15)*9\/(-3). Is n at least p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*-8*4\/16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*s + 18405 = 4975. Calculate the common denominator of 1\/11*118\/(-6) and 4\/6 + (s\/(-6) - -18).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - 6*g**2 - 8. Let v be d(6). Let x = -2 - v. Suppose 3*r + 0*r = x. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4928 and 280.\nAnswer: 24640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 14. Let o be (14 - 2) + 0 + g. Suppose o - 113 = -4*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -392 by -8.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5151023 + -4113?\nAnswer: 5142510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 50872, 4, 2\/5, -56, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/8 and -2 + (-1)\/(120\/(-171))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 96*c**2 + 58 + 165*c**2 - 68*c**2.\nAnswer: c**2 + 103","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -2715.\nAnswer: -2\/2715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60 or -2020\/33?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1894 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*h = 82, -5*h - 305 + 15 = -5*g. Calculate the remainder when 316 is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 925.5177 millilitres?\nAnswer: 0.9255177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 0*r + 32 - r + 2*r to w + v*r and give w.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 74\/(-26) - 16\/104. Let s be x - (-11 - 0)*2. Solve -5*p - d - 28 = 0, -2*p + 4*d - s = 7*d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*x - 12, -12 = 14*t - 18*t - 3*x. Suppose 3*o - 144 - 120 = t. Is o a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the second derivative of -1\/12*r**4 + 0*r**2 + 36*r - 1\/2*r**3 + 0. Factor y(u).\nAnswer: -u*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + -1 - -4 - 4\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 0 + 1\/240*y**5 + 5*y**2 + 1\/480*y**6 + 0*y**4 + 0*y**3 + 0*y. Factor l(s).\nAnswer: s**2*(s + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2485081*c + 292671. Let t(o) = -1053*o - 124. Let n(b) = -4*j(b) - 9441*t(b). Let z(w) = -3*w. Calculate z(n(r)).\nAnswer: -3147*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a gram in milligrams?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 383969, -0.4, 1, -5?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4094 - 3915. Calculate the remainder when 708 is divided by p.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 2 w when four letters picked without replacement from vwwvwwwvvwvv?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -152 - -203. Let x be 1 - (k\/(-15) + -1). Factor 0 + 6\/5*u**2 - x*u**3 + 0*u.\nAnswer: -3*u**2*(9*u - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -6.8\nAnswer: 54.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 + 827*h**3 + 25 - 828*h**3 - 2*h + 2*h**2 to s*h**3 + g*h**2 + p*h + j and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 1 - 2*t - 1. Let z(v) = -v**2 + 10*v - 15. Let f be z(5). Let w(p) = 15*p**2 + f*p**2 + 0*p**2 - 6*p**2. Give a(w(j)).\nAnswer: -38*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7679 + -7674. Solve m*z + 3*c - 42 = 0, -3*z + 126*c - 121*c - 2 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -18644.0073.\nAnswer: 18649.0073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from uzczxzccudkzuzdcxddu?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-5*(sqrt(272) + 1) + -5 + sqrt(272) + 1*sqrt(272) - (2 + (-3 + sqrt(272))*-3)))**2.\nAnswer: 15876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7355 to the power of 1\/2, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 7\/70*15*-2\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7c1 (base 15) to base 14\nAnswer: 8d6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 155*z - 433. Determine t(6).\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 834955.\nAnswer: 5, 11, 17, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1267, 2541, 3817, 5095, 6375, 7657, 8941?\nAnswer: 10227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 - 2*k - 6. Let g be m(4). Let o(t) be the third derivative of -1\/12*t**4 + 1\/6*t**3 + 0 + g*t**2 + 0*t. What is o(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177660 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 431419, 431408, 431383, 431338, 431267, 431164, 431023, 430838?\n\"Answer: -l**3 - l**2 - l + 431422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 426*v + 219. Let t(d) = -8944*d - 4601. Let i(u) = -43*s(u) - 2*t(u). What is the first derivative of i(c) wrt c?\nAnswer: -430","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 + 29*d + 22. Let i be b(23). What is the highest common factor of i and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 7 = -13*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -11*u**2 - 31*u + 26. What is i(-5)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvcvvyucuavvvcuucuv. What is prob of picking 1 y and 1 v?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/5202630 and -79\/149870?\nAnswer: 36418410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 34701, 34605, 34845, 35589, 37005?\nAnswer: 39261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 = 2*z - 4, -4*z + 34 = 2*o. Suppose -o = -2*c - 3. Is ((-19)\/c)\/(1\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.790421 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 31000+69.2\nAnswer: 31069.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s + 365 = 391. Suppose -690 = -s*d + 6*v, 5 = -v - 0. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6 = 2*r. Let k be (-3465512)\/6 - (-4)\/r. Let l = k - -337586. What is l rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 18*c + 5*w + 38, 3*w - 109 + 122 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -99 - -101. Suppose 2*q = 10 + 2. What is the lowest common multiple of (-1 + (-10)\/q)*-3 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000568507631 rounded to seven dps?\nAnswer: 0.0000569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a + 4722?\nAnswer: 4716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2*m + 2103 = 0. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2526, 3854, 5182, 6510, 7838?\nAnswer: 9166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-6)\/3 - -2. Suppose -l*v = v + 9. Let u(g) = -g**2 - 4*g - 4. Calculate u(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/9225 and 12\/25?\nAnswer: 9225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sioo when four letters picked without replacement from {j: 5, o: 2, i: 2, d: 2, c: 1, s: 2}?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3*b = -0*l + 12, b - 4 = -l. Suppose l = -5*w + 3*w + 68. Suppose -7*c + 255 = -2*c. Calculate the greatest common divisor of w and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -75*w + 9009. Let f be r(120). Sort 3, -23, f in descending order.\nAnswer: f, 3, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7809859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((11 - 3)*38\/76)\/(-390)\nAnswer: -2\/195","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i. Let l(r) be the third derivative of -r**7\/1008 - r**5\/15 - 5*r**2. Let a(p) be the third derivative of l(p). Determine a(u(q)).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -23?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uqa when three letters picked without replacement from qqqquaxqq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*b**4*s + 10*b**3*s - 2*b**2*s**3 - 3*b*s**3 + b*s - 3*s wrt b?\nAnswer: -108*b**2*s + 60*b*s - 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55320, 55331, 55340, 55347, 55352?\nAnswer: 55355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*((sqrt(42)*1)\/sqrt(2) - (-2*sqrt(252) - sqrt(252))\/sqrt(12)))\/(1*sqrt(7)*-4 - sqrt(7) - (sqrt(350)\/sqrt(10))\/sqrt(5)))**2.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.17, -0.1, -0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -849?\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13531 + 13571. Let y(x) = x**3 + 5*x**2 - 3*x - 3. What is the remainder when w is divided by y(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-126)\/(-9))\/(-2) - -11. Let n(i) = -i**2 + 5*i + 2. Determine n(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the first derivative of -6881*f**6\/3 - 1424*f**2 + 10866. What is the second derivative of u(n) wrt n?\nAnswer: -275240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/21*w**2 - 58\/7 + 176\/21*w.\nAnswer: -2*(w - 87)*(w - 1)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7916595 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0 = 4*p - 40, 0 = -4*p - 16. Let j = 19091\/1515 + -2\/1515. Which is bigger: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-54)\/(-334476)*38\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -684.68688 + -0.31312. What is the fifth smallest value in -4, 3, 0.5, 2, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = o + 2*q + 14, 2*o - 4*q - 4 = 0. Let w = 1 - o. What is the remainder when 10 is divided by (-2 - (-3)\/3) + w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 918a (base 11) to base 15.\nAnswer: 3933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 21*c - 589. Let m be l(29). Suppose 6*h - 100 = h. Calculate the highest common divisor of h and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9 - 742\/(-42)) + 5\/(-3). Differentiate -1528*q**2 + z*q + 9*q - 139 + 1526*q**2 with respect to q.\nAnswer: -4*q + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 - (25 + -64).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23508 = -24*d + 27*d - 42162. What is the highest common divisor of d and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96413.18km to nanometers.\nAnswer: 96413180000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.07169367 * 3.2\nAnswer: -0.229419744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.7 + -4. Let o = 893.99 - 894. Which is the second biggest value? (a) o (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -313 - -319. Let a(k) = -9*k**2 + 3*k - 2. Let v(r) = -10*r**2 + 4*r - 1. Let p(i) = b*a(i) - 5*v(i). Let g(l) = l**2 + 1. What is -5*g(x) - p(x)?\nAnswer: -x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t. Let a(v) be the second derivative of -v**4\/4 - 71*v**3\/6 + v**2\/2 - 1193*v + 2. Determine h(a(f)).\nAnswer: 6*f**2 + 142*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 17*x + 5. Suppose -5*p = 4*g + 26, -6*p - 5*g = -10*p - 29. What is the remainder when y(6) is divided by p*(52\/12 + -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*m + 40*m - 12*m + 3*m**2 in the form b + i*m + v*m**2 and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -218 + 191. Which is the closest to -1? (a) -2 (b) 2\/7 (c) -4 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53 + (3 + -11 - (20 + -19)) - -3) + 5?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -25 or 115?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**3 - 2*f - 20. Let i(c) = c + 9. Calculate -3*g(q) - 5*i(q).\nAnswer: 3*q**3 + q + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + sqrt(19)) - (sqrt(19) + 0 + 0).\nAnswer: -5 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 209, 514, 1017, 1712, 2593?\n\"Answer: -c**3 + 105*c**2 - 3*c + 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3434 and 6.\nAnswer: 10302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-40*m + 39*m - 109 + 31)*(-2 + 2 - m) to the form b*m**2 + w*m + t and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = 3*r - 5*o, -5*r - 4*o + o = 0. Factor -5*y**3 + r*y**2 - 4*y**2 + 4*y**3.\nAnswer: -y**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 292 - 880\/3. Let m(q) = q**2 - 5*q + 3. Suppose 2*c - 9 + 1 = 0. Let s be m(c). Is v less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(0 + sqrt(1584) + -1) + (4*(1 + sqrt(1584)) - (sqrt(1584) - (sqrt(1584) + -1) - sqrt(1584))*-1))*3*-4)**2.\nAnswer: 24192*sqrt(11) + 11176848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 88 - 41 - (-54 + 93)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -256, -20, -53, -4, 3 in decreasing order.\nAnswer: 3, -4, -20, -53, -256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + (-3*sqrt(1300) + sqrt(1300))*5)**2 - (0 + 1*(sqrt(1300) - (3 + (sqrt(1300) + -1)**2))).\nAnswer: 370*sqrt(13) + 131308","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/6414840 and 87\/11330.\nAnswer: 70563240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 10*w**2 - 7*w**2 + 2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*2)\/sqrt(11) - sqrt(425)*2.\nAnswer: -8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m**3 + 2*m**2 + 126 - 2*m**3 + 100 - 19*m + 19*m.\nAnswer: -2*m**3 + 2*m**2 + 226","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 - 11. Let h be (30\/(-7))\/(v\/(-84)). What is the highest common divisor of 15 and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fiq when three letters picked without replacement from fifq.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*-0.027.\nAnswer: 1.053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 22. Let l be i(21). Let n be (-3)\/(l\/(-8)*12). Let z(v) = -15*v - 1. Determine z(n).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 3*k**2 + 2*k**2)*(0*k - k - k)*(0 + 3*k + 0).\nAnswer: 18*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 140822405.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 136541 (base 7) to base 15.\nAnswer: 7c12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + -11 - -12 - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + ((sqrt(475) + 2)*1*-6 - (-2 + (2*sqrt(475) - sqrt(475)) + sqrt(475) + -4*sqrt(475)*2 + sqrt(475))))**2.\nAnswer: 110*sqrt(19) + 596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p - 5*p - 4*w = 22, -3*p + 3*w + 3 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000249 rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -325*m**4\/4 - 459*m**2 - 244. What is the second derivative of k(y) wrt y?\nAnswer: -1950*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 0. Let j = -0.14 - -7.14. Let m = 9 - j. Which is the nearest to -1\/3? (a) -2\/13 (b) p (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -5 (b) 0.1 (c) 2 (d) -53127\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 15367 and -7873?\nAnswer: 23240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 90 = -3*c, 2*z - 3*c = z + 36. Suppose 12 = 2*m - m. Calculate the remainder when 3 - 2*(-1 - z) is divided by m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 1058158*o - 8465136.\nAnswer: -2*(o - 529071)*(o - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/88 and -21\/34424.\nAnswer: 378664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -16 - 50?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 37 = 2*n, -4*n + 56 = 2*w + 2*w. Suppose 1182 = 5*g + 135*s - 134*s, 0 = 5*g + 5*s - 1170. What is the smallest common multiple of g and w?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*x + 4*x + 4*x)*(11*x - 2*x + x) to the form z*x + o + i*x**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 3 + 1)*(-3*u + 0*u + 4*u + (0 + 4 - 2)*(-5*u + 2*u + 2*u) + 3*u + 0*u - 4*u - 2*u + 3*u + 0*u + 6 + 11*u - 6) to c + d*u and give d.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1110010001 (base 2) in base 7?\nAnswer: -2443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 2*t + 69 - 3, 4*n - 147 = 5*t. Let h = 15176.8 + -15177. Which is the biggest value? (a) h (b) t (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-10)\/4*(-12)\/(-6). Let f be (-1 - -1)*(27\/(-6) - k). Solve -1 = 2*m - r, f*m + r = 4*m + 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - b - 2)*(0 - 2 + 0) + 4*b - 4*b + b + (17 + 10 - 9)*(11*b - 3*b - b) + (1 - 3 + 3)*(b + 0*b - 6*b) - 5*b + 3*b + 3*b.\nAnswer: 125*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, u: 1, q: 1, c: 5, s: 4}. Give prob of picking 1 u and 1 d.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 3*q + 102. What is o(-17)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 3:58 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*r - 32 - 5, 3*r - 2*c = 8. Suppose -12 = -4*y + 12. Let p = y - r. Let l(n) = -n. Give l(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 - (-2 - (35 + -26 + (-14 - 2)))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 22 + 14 - (-1 - 51)\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -z - 4166, -3*r = -4*z + 4661 + 7823. Let b = r - -14081. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 16389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of (-1 - 3\/15)\/(39\/(-17420))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y**5\/2 + 3107*y**4 - 34250*y**3 - 77819*y**2 - 80925*y\/2 = 0. What is y?\nAnswer: -6225, -1, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5007?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*v = -65*v + 4*y - 48, -3*v = -3*y - 27. Calculate the remainder when 717 is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/15 - 632*d\/3 - 13806\/5.\nAnswer: 2*(d - 1593)*(d + 13)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 370823 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 5*c = -0*c - 100, 15 = 2*k - 3*c. Differentiate 0 + k*m + 2*m + 14 wrt m.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65869 is divided by 4663?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 25 = -4*a, -3*a + 3*p = -7*a - 15. Suppose -14 = -5*y + q, -3*q + a*q - 12 = -5*y. Factor 2\/5*o**y - 6\/5*o + 4\/5 + 0*o**2.\nAnswer: 2*(o - 1)**2*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b42 + -1a?\nAnswer: -9b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -209.7 - -210. What is the closest to -0.03 in -2, 1\/2, i, 7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*o**3 + 4875*o**2 + 322419 wrt o.\nAnswer: -33*o**2 + 9750*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 37560.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9398784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 divided by 59?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 2*q = 7, 24 - 2 = 2*b - 3*q for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 99899702 to the power of 1\/3, to the nearest integer?\nAnswer: 464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 42 = -5*b - 2, 2*z = -b + 6. Let s(l) be the first derivative of 6*l + 5 - 1\/2*l**2. What is s(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -753?\nAnswer: -46\/753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 1. Let s(i) = 3*i + 18. Calculate -5*r(h) - s(h).\nAnswer: 2*h - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 70\/6 - (-4)\/(-6). Let x(t) = -t**2 + 13*t + 15. Is x(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/127 or -443?\nAnswer: 2\/127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5, 43, -10\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**5\/10 + p**4\/12 + p**3\/3 + 5*p**2\/2 - 1318*p. Let r(j) = -3*j**3 + j**2 + 3*j + 7. Give -5*r(o) + 7*u(o).\nAnswer: o**3 + 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -70.25 + 53.25. Which is the second biggest value? (a) -1\/10 (b) i (c) -5\/2 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 180083 and -6.\nAnswer: 180077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - n - u, 5*n - 21 = 2*u. Solve n*t + 8 = t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 1)*58 + (218 - 218). Which is smaller: 1\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o, -2*o + 844 = 5*w + 229. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -103*d - 54*d - 19*d - 1232 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/2 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 - c**3 + 3 + 0 + c + 5*c**2. Let y = -22 + 24. Suppose y*s - o = -14, 0 = -s + 5*o - 19 - 6. Determine h(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -22*b**2 + 4. Let x(k) = 221*k**2 - 39. Let m(j) = -39*c(j) - 4*x(j). Let d(w) = -12*w. Give d(m(v)).\nAnswer: 312*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 0*k**2 - k**2 - 3*k - 3*k - 4 - k. Give h(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u**2 - 10*u**2 - 1653 + 1657 - 9*u**2 + 23*u - 18*u to a*u + v + c*u**2 and give a.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (1\/(-77))\/((-1122)\/11781) and (-642)\/(-8)*4\/(-150)?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2001473.\nAnswer: 547, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 24677479 to the power of 1\/2, to the nearest integer?\nAnswer: 4968","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4341 is divided by 190?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**5 + 105*j**4 + 535*j**3 + 595*j**2 - 540*j - 700 = 0.\nAnswer: -14, -5, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 792 and 74274696?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of -r**5\/30 + r**4\/8 - r**3\/6 - 5*r**2. Let o(s) = -3*s**2 + 4*s - 1. Calculate 5*f(v) - 4*o(v).\nAnswer: 2*v**2 - v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -1, -2\/13 in decreasing order.\nAnswer: 1\/4, -2\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*l - 98*l = 8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*i**2 - 27752676241 + 27752676241.\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001101010101000111 (base 2) in base 12?\nAnswer: -55a147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + k. Calculate the smallest common multiple of 11 and n(-2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/11598 and -143\/634698.\nAnswer: 1226871234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**2 - 31*c + 357. Determine m(-40).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - -1*2006)*(-1141)\/(-326) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from ppppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 j when four letters picked without replacement from {z: 2, j: 5}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*c**5 - 36*c**4 + 8*c**3 + 32*c**2 - 24*c + 4.\nAnswer: 4*(c - 1)**3*(c + 1)*(4*c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -110538214\nAnswer: -3\/110538214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, l: 1, k: 3, e: 6, y: 6, n: 1}. What is prob of sequence ybe?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3112 + -3?\nAnswer: -3120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -13*m - 153. Let u be y(-12). Find the third derivative of -6*g**2 - 24 + 24 + 64*g**3 + 2*g + 101*g**u + g wrt g.\nAnswer: 990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80130 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: Rearrange -2 + 2 - 12*r + 2*r to the form k*r + m and give k.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201650, -201651, -201652, -201653, -201654, -201655?\nAnswer: -201656","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5 = -1. Calculate the smallest common multiple of s and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9863291 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from vtwpp.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -40 - 6*f + 10 + 2*f. Suppose 770*h = 736*h - 510. Does 6 divide l(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence osyo when four letters picked without replacement from odyosoyooosdoos.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -648056701170269 and 0.1.\nAnswer: -648056701170268.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3428.\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, u: 1, w: 1, n: 1, p: 2, x: 1}. What is prob of picking 1 k and 1 p?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -83337 greater than or equal to -83337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2)\/(315\/(-2800)*-10)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**18*g*g\/(g*g**(1\/8)))\/((g\/g**(-5\/6))\/g)**(2\/131))**(-2\/11) assuming g is positive.\nAnswer: g**(47593\/17292)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0 + (1 + 3 - 2)*(-1 + 3 - 1))*(-403 + 409 - 5*c - 315*c**4 + 5*c).\nAnswer: -1260*c**4 + 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15421?\nAnswer: 7, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/3, 6, 29, -12, -3\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -327, 0.042, 4, 0.4, 3, -5, 3\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41031.\nAnswer: 3, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 10 = -15. Let g(c) = 5*c + 7. Let x(f) = 2*f + 8. Let d(l) = -l + 1. Let y be 1\/(4 + -1 + -2). Let j(h) = y*x(h) - 2*d(h). Give m*g(w) - 6*j(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j - 1. Let v(r) = r**3 - r + 4. Let s be v(0). Let g be (-12*1)\/(s + -6). Let q = g - 5. Let l(b) = 2*b**2 - 5*b + 4. Determine q*l(p) + 5*y(p).\nAnswer: 2*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five eighths of a milligram?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 - 26*j**2 + 30*j - 131. Let z be r(25). Which is the second smallest value? (a) -5\/3 (b) -1\/4 (c) z (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 451570 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4215.\nAnswer: 3, 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -671*g + 690*g - 1121 = 0. Calculate the greatest common factor of g and 4307.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -453058 (base 9) in base 2?\nAnswer: -1000010001110001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -241590 * 5.\nAnswer: -1207950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*y**2 + y**2 + 4*y**2 + (-3*y**2 + 3*y**2 - 2*y**2)*(3 - 3 + 2) - 1 + 12 - 796*y**2 - 13 + 686 - 686 + 27*y**2 to i + g*y**2 + o*y and give g.\nAnswer: -771","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 478222\/45 + -10628. Calculate the common denominator of -71\/30 and y.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 + -4. Suppose 0 = -4*b + 5 + c. What is the remainder when b is divided by (2\/3)\/((-2)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -920 - 17*q + 1688 - 751.\nAnswer: -17*q + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -810, -1146, -2060, -3846, -6798, -11210, -17376, -25590?\nAnswer: -36146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + 7 + 18 + -1 + (-2 - -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 22443342235?\nAnswer: -22443342244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = -4*x - 5*y, 4*x - 3*y + 20 = 50. Suppose -x*f + f = -24. Suppose 2*p = f*p - 2. Solve 0 = -5*v - 5*u - 0*u - 5, p*v + 1 = -u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*i = 44 - 22 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13726362 and 663?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2549?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 25 = -4*o, 20 = 10*x - 14*x + 5*o for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000273800755 rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -96224, -12\/55, 0.11 in decreasing order.\nAnswer: 0.11, -12\/55, -96224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -150*x + 4. Let p be a(2). Let k = p - -187. Round k to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -3 (c) 716 (d) -145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1\/(-2))\/(2\/660*-3). Let q = b - 53. What is the hundreds digit of 211 + (-10 + q)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 131551?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 10:43 PM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -22?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/2 - (-55)\/2. Let l be 2\/4 - x\/(-6). Suppose 0 = -l*s - 5*j + 35, j = s - 4 + 5. Which is the closest to 1? (a) s (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 - 7)*(-26)\/(-4). Solve 2*p - 3 = -3*n - 16, -2*n = -3*p + z for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 2:38 PM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -61, -127, -209, -313?\nAnswer: -445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - -6. Suppose 0*x = -o*x. Suppose -6*y + 2*y - 104 = x. Round y to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8718 + 14718. Suppose 0 = r - 8 + 4, 0 = -3*u + 4*r - 19. Let a be u\/(1*2\/n). What is a rounded to the nearest 10000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 + 18*z**2 - 248*z + 408 = 0. What is z?\nAnswer: -17, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrw when three letters picked without replacement from cwrrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12381\/61 - 203. Let o(m) = m - 2. Let r be o(3). Which is smaller: r or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 4*m**4 - 20*m**3 + 12*m**2 + 20*m - 16 = 0?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = -49*f + 44*f. Solve -2*s = -j + s + 10, 4*j + f = -5*s for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 974349089 to the nearest integer?\nAnswer: 31215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 + 21*h - 33. Determine q(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 320491\/5 != 64098?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*b**3 - 30*b**2 - 229 wrt b?\nAnswer: -9*b**2 - 60*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - q. Let n be v(-9). Let f = 1413 - 985. Let k = f - n. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1687 + 2747. Let w = -1014.3 + z. Round w to 0 decimal places.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8.6? (a) 8 (b) 5\/6 (c) 4 (d) -13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5374269 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8798, 17320, 25842, 34364, 42886?\n\"Answer: 8522*o + 276","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 3*h + 9 = -3*o, 5 = 5*o. Suppose 5 = -m + 3, -h*m - 183 = -5*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5082 + -4892. What is the remainder when s is divided by 108?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 705033.\nAnswer: -1\/235011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 4*f + 79, -3*f - 22 = -5*b + 61. Suppose -3*x - 3*h + 21 = 0, 4*h - b = -x - 0*x. Solve -3*q + x = -4*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 12 = 5*u. Let h be (u\/(-6))\/(4\/16). Let x = 3 - 3.2. What is the nearest to 1 in 4, h, x?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 10:48 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = d - 6*d - 11, 3*n = 5*d - 17. Let w = 238.24 - 238.24. What is the closest to d in -2, 4\/3, w?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 562941 is divided by 192?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -n**2 + 17*n\/3 - 14\/3 = 0.\nAnswer: 1, 14\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 184*g*t**2 - 2*g*t - t**2 + t - 354 wrt t.\nAnswer: 368*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 218900340 to the nearest integer?\nAnswer: 14795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 4*w - 22. What is the tens digit of k(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 - 5*q**2 - q + 5. Let g be v(5). Suppose -6 = -r - g*r. Solve r*o - 2*o**2 - 6*o - 2*o**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 10:21 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 7) + (0 - -5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(-6)*(-267)\/178.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2 = 4*a. Let b = 3 + a. Let k(s) = 11*s. What are the prime factors of k(b)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19434 to the power of 1\/2, to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 + 20 = -7*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1271 by -14593.\nAnswer: 1271\/14593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 761\/35 - 148\/7. Do 9 and g have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4. Let r = 1 - m. Let s = -0.7 + 0.2. What is the nearest to r in 0, -5, s?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121837362 to the nearest integer?\nAnswer: 496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 27661249 to the power of 1\/2, to the nearest integer?\nAnswer: 5259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, -0.03, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 125783, 251536, 377279, 503012?\n\"Answer: -5*q**2 + 125768*q + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36411344 take away 55.1162?\nAnswer: 36411288.8838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4*(3 + -1). Suppose -9 = -0*h - 4*h + z, -2*h - z + r = 0. What is the third derivative of 2*g**2 - 5*g**3 + 3*g**h + 15*g**4 + 5*g**3 wrt g?\nAnswer: 360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.64 - 0.26. Let u = -0.3 + -0.8. Let s = u + r. What is the nearest to s in -0.4, -3\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 29*p**2 + 27*p + 56. What is v(28)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 35\/(-14)*(-8)\/(-5). Let l(k) be the first derivative of 0*k**4 + 0*k**2 + 4 - k - 1\/5*k**t + 2\/3*k**3. Factor l(o).\nAnswer: -(o - 1)**2*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*d**2 - 22*d**2 + 10*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 PM and 8:19 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -150 + 150.3. Let d = 182 + -182. Which is the nearest to d? (a) i (b) 17 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-56))\/((-11)\/(-44))*2.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 4*n, 143*r = 139*r - n - 49 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 513.\nAnswer: 1\/513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1978753 - 21.78\nAnswer: -1978774.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 913147, 1826635, 2740123, 3653611, 4567099, 5480587?\n\"Answer: 913488*f - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.05 - 6. Let o = 1.95 + p. What is the closest to o in 1\/7, -3, 0?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3602 - -0.3602. Which is the third smallest value? (a) l (b) -2 (c) -2\/343 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 108, 165, 236, 327, 444?\nAnswer: 593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 252 and 60612.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 30, 0, 2, -97.\nAnswer: -97, 0, 1, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-4*(-1)\/(-2)). Let q = w + 5. Let n(v) = -v**3 + 10*v**2 - v + 14. Let l be n(10). Solve -l*p = q - 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/276)\/(2\/(-64))*(-264)\/352.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -0.331\nAnswer: 0.1655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 9*p + 6. Let l be t(-9). Let y be ((-24)\/9)\/((-4)\/l). Let j(k) = y + 2 + k - 9. What is j(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3780 and 13515.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2. Let s(p) = -p**2 + 7*p. What is i(s(y))?\nAnswer: 3*y**4 - 42*y**3 + 147*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 600*g + 355*g + 217*g to the form v + i*g and give i.\nAnswer: 1172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011100001010110001 (base 2) to base 11.\nAnswer: 238701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494 = -17*d - 9*d. Suppose p - d = 3. Is p greater than 21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 1)*(-z + z + 2*z) - z + 0*z + 0*z + (-2*z + 9*z + 2*z)*(-21 - 12 + 3) to the form d*z + q and give d.\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 88743 + -88742.50013. Let o = 0.5 - j. What is o rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11000111010011 (base 2) to base 7\nAnswer: 52121","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 741 and 300963.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -8 + -2 + 4 + -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**3\/5 - 246*l**2\/5 + 6603*l\/5 - 11532 = 0. What is l?\nAnswer: 20, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -168*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1978872 divided by -23558.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -27555 or -8458?\nAnswer: -8458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/((p*p**(-1\/10)*p)\/p)*p*p)\/p*p\/p**(39\/4)*p**(4\/23)*p**(10\/11) assuming p is positive.\nAnswer: p**(-28169\/5060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - -35. Let a = p - 11. Let x = a + -8. What is the least common multiple of 20 and x?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -82*m**4 + 36*m**4 + 44*m**4 - 68*m**4 + 17*m**4 - 9*m**4 + (2*m - 4*m + 0*m)*(2*m**3 + 0*m**3 - 5*m**3).\nAnswer: -56*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 6 = -7*d. Let k = 1 - 1. Let m = 2 - k. Solve -m*j + 0 = d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -47*o**4 + 25*o**2 wrt o?\nAnswer: -1128*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/3)\/((-1)\/(-3)). Let s = 119 + -117. Let o be 6*(-10)\/(-12) - (-2)\/s. What is the greatest common factor of o and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -5498?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v - 1. Let g(x) be the second derivative of -x**3\/3 + x**2\/2 - 2*x - 39. Calculate -3*g(t) - 2*s(t).\nAnswer: 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -58, 4, -1, 10843.\nAnswer: -58, -5, -1, 4, 10843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 78962.92 minutes?\nAnswer: 4737775.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000310872313 rounded to five dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (6 + -2) - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38 - -1?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1129 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, 1, 3 in descending order.\nAnswer: 18, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-35))\/(2\/4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -266*r*w**2 - 1116*r*w + 2377*r + 2*w wrt w.\nAnswer: -532*r*w - 1116*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 34*y - 20. Let a be i(5). Suppose 206 = 4*t - a. Let s = t + -45. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/6)\/(3\/(-711)). Let l = q + 162. Suppose c = 21 + l. Round c to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -420, -1713, -3884, -6945, -10908?\nAnswer: -15785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24 - (-7 - 11) - (-4 + 1) - -17.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 21*z**2 - 11*z + 8. Let w be g(-11). Suppose 5*p = -p + w. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280672012.666765 - -0.5?\nAnswer: -280672012.166765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-10))\/(4 + -3). Let p = -1\/8732 - -17477\/113516. Which is the nearest to -2\/5? (a) p (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 15 = -4*g. Suppose -2 + g = 2*x. Solve -z + x*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 + 6 - -2) + -11 + 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2806 and 1098.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 6*o + 36. Let c(t) = -t - 5. Determine 15*c(r) + 2*k(r).\nAnswer: -3*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177712?\nAnswer: 2, 29, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51515 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - 3. Suppose -s + 2*j = -v*s + 2, j = -5*s + 19. Suppose -2 = -3*h + s. What is the highest common factor of 4 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20052123 is divided by 49.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**7*x)\/x**2*x*x*(x**0*x)\/x*x*x\/(x\/(((x**(1\/7)*x)\/x)\/x))*x)\/(((x*x\/(x\/x**8))\/x*x*x)\/(x\/(x\/x**(-6\/7))))**(1\/7) assuming x is positive.\nAnswer: x**(-265\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -1811559*o. Let m(u) = 112*u**2. Determine x(m(q)).\nAnswer: -202894608*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:10 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.9117308 rounded to 3 dps?\nAnswer: -1.912","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.164 and -23.29?\nAnswer: 27.10956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 - -13.11. Sort -0.5, -2, k, 3\/7 in ascending order.\nAnswer: -2, -0.5, k, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 4.01. Put -3, 4, d in decreasing order.\nAnswer: 4, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f + 1559 = 7959. Let b = 257 - f. Solve 0 = y - b for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27032745 divided by -1?\nAnswer: -27032745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6363155.\nAnswer: 5, 1272631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2*f. Let x(k) = -3*k + 30. What is r(g) + x(g)?\nAnswer: -g + 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-r + 2*r**2 - 3 + 6*r - 3*r)*(-r - 6*r - r) - r + r - 2*r**3 to the form c*r**3 + o*r**2 + y + w*r and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 948 and 6036?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-3)\/(-2))\/(6\/12). Let n(b) = 0 - 2*b + 2 + 4*b. Is 8 a factor of n(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/35 in -4, 0.3, -3, 2, 61?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-30) - 2\/(-5))*9. Let v be -1 + (5 + -5)\/(u\/1). What is the nearest to 3 in -0.2, 3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-15)\/9*-1*3. Suppose -5*l - z*u + 20 = 0, 5*l = -u + 6*u + 50. Suppose 0 = -2*t + 3 + l. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(3)*-2)**2 + 5) + 2.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 274638 divided by -26.\nAnswer: -10563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17289 and 15759?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d + 4. Determine n(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -1383*x**3 + 2. Let k(i) = -6916*i**3 + 11. Give -11*f(z) + 2*k(z).\nAnswer: 1381*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.646 rounded to 1 decimal place?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -18. Find the second derivative of k*d**2 - 7*d**3 - 15*d + 11*d - 3*d**2 wrt d.\nAnswer: -42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2103 - 14343?\nAnswer: -16446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2 + 29*x - 11. Let c(g) = g**2 + 10*g - 4. Let d(q) = -11*c(q) + 4*m(q). Determine d(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000201699 to six dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 3*a + 17, -8 = 4*f - 0*f for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81.916 - 81. Round p to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 0 + 3\/2*x**2 + 4\/45*x**3 + 1\/45*x**4 + 1\/450*x**5 - 6*x. Let l(q) be the first derivative of i(q). Factor l(g).\nAnswer: 2*(g + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 3*x**2 - 5. Let p(w) = -2*w**2. Give p(c(r)).\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 - 1.99. Let r(l) = -19*l + 130. Let m be r(7). What is the fourth smallest value in -3\/5, j, m, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*j = 3*x - 66, 511*j - 7*x + 93 = 507*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 18 - 3 = 0. Let q(m) = 3*m**3 + 2*m**2 + 3*m + 3. Let c be q(i). Let z = 101 + c. Is z a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3747743, -7495485, -11243225, -14990963, -18738699, -22486433?\nAnswer: -26234165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111100 + 101?\nAnswer: 11000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 + 2.09. Let p = -11 + 17. Let a = p + -5.9. What is the second biggest value in a, c, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - -3 - 3\/(15\/(-815))?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85739914 a multiple of 3926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aff when three letters picked without replacement from faffaffafffafffa?\nAnswer: 55\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2185 divided by 8?\nAnswer: 2185\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 52 - 28. Let r = s + -99. Let g = -74.999949 - r. What is g rounded to 5 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -4919*t. Let d(q) = q**2 + 9. What is d(h(n))?\nAnswer: 24196561*n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 6 = 2*x. Let m be (-136)\/14 + (-4)\/14. Let n = m - x. Which is the second biggest value? (a) -2 (b) n (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2914205*v**2 + 2914205*v**2 + 12*v**3.\nAnswer: 12*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of k**3\/3 - k**2 + 3*k + 145. Let t be j(0). Solve 19 - 22 = -t*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, d: 1, g: 3}. Give prob of sequence ggg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g**3 + 6*g + 9. Suppose 65 - 23 = -7*n. Let h be l(n). Suppose -3*d + 5*t = -410, 207 = -3*d + 3*t + h. Does 35 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-seven quarters of a litre?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 8. Let v(p) = -5*p**2 + p. Let z be v(-1). Calculate b(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 245662 + -4757?\nAnswer: 240804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*i - 4. Let o(b) = 34*b**i - b + 3*b + 1 + 0*b - 10*b**2. What is the tens digit of o(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + (-4 - -3) + 3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = 10*g - 24. Solve 0 = -w - g*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 297?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 9 - 12) + -1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20664000 divided by -2240.\nAnswer: 9225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18723*q + 3321*q - 2534*q + 1560800 = 0 for q.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1930 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, -33, -2, -0.2, -0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 + 4242\/525)*-2?\nAnswer: -4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 251333 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 36830 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.5 (b) 3 (c) -1.6 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x + 2*l = 4, 4 = x + l. Let s = 35 + x. Calculate the remainder when s is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t = 4*j - 84, 5*t = -10. Suppose 0 = 5*b + j, -2*b + 20 = m + 3*m. Solve -2*l - c = -m*l - 14, 0 = -2*l - 3*c + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12271766790 + 1025.\nAnswer: -12271765765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/792*(-8)\/(-3)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 32 - 26. Solve -2*p + 0 = m for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 23*r**2 + 2*r + 6. Let k be o(-4). What is the common denominator of (2\/(-9))\/(16\/k) and -3\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -354 + 276*s**2 + 48*s - 443*s**3 + 135*s**3 + 338 = 0. Calculate s.\nAnswer: -2\/7, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - u)*(7256*u**2 - 15198*u**2 + 11010*u**2)*(1 + 1 - 3).\nAnswer: 3068*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4*x**3 + 5)*(3*x - x + 0*x) + x**2 - x**2 + 2*x**4 + 16*x - 23*x + 7*x + 394*x**4.\nAnswer: 404*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*y + 0*y - 2*y + (4*y + 3*y - 5*y)*(1 - 3 + 1).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**(-3\/2)*y*y)\/y**(2\/5))\/(y*y**(-2\/7)*y**0) assuming y is positive.\nAnswer: y**(97\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -560267, -1120398, -1680529, -2240660?\nAnswer: -2800791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 + 784 = 478*y - 52*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -203 + 228. Solve -23*b = -18*b - i for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cccv when four letters picked without replacement from vvccccvccvvc.\nAnswer: 35\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 60521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((36\/50)\/3)\/((-9)\/(-60)). What is the closest to v in -4, -13, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -3*z + 8. Does z = -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5533.\nAnswer: 11, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 278973, -0.089, -0.1 in descending order.\nAnswer: 278973, -0.089, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -z**3\/5 + 77921*z**2\/5 - 1517491904*z\/5 - 16701840716\/5 = 0.\nAnswer: -11, 38966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(208)*3*-3 + -3)**2.\nAnswer: 432*sqrt(13) + 16884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -6. Suppose -2*j + 4 - 12 = x. Put -3, -0.6, j in decreasing order.\nAnswer: -0.6, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 8. Calculate u(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 124*q**2 + 2736*q - 20736. Give h(-144).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 + -7. Suppose -3 = -a*j + 33. What is the lowest common multiple of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 7\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 14. Suppose -f - n = -22. Calculate the least common multiple of f and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -3*s - 19. Let t be v(-6). Let o(u) = 6*u + 18. Let m(n) = -1. Let b be 2\/9 + 492\/(-27). Let l(c) = b*m(c) - o(c). Give l(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/13, 2\/7, -113, 0.2, -1103, 1\/7, -0.2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 10:28 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11\/(154\/(-84)) + 16650?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-3)*78\/10. Let v = 60 - i. Solve 5*r + v = 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1171 (base 9) to base 2\nAnswer: 1101101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 (base 9) in base 7?\nAnswer: -343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -75 and 10?\nAnswer: -750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3) - ((-2)\/(-1))\/12.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -30*l**2. Let w(v) = -3*v**2 + 41*v - 41*v. Determine t(w(c)).\nAnswer: -270*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145933182.\nAnswer: 2, 587, 976093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3026016 and 308?\nAnswer: 33286176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 5*y**2 + y. Let a be w(-3). Suppose -4 = -h + a. Does 16 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.2170628 to three decimal places.\nAnswer: 2.217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -2\/9, 0.4 in descending order.\nAnswer: 0.4, -2\/9, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*w = -147896, 101293 = 5*f - w - 145212. Suppose -5*j = -2*h - f, -h = -j + h + 9854. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9590881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u - 4. Suppose -3*c = -z + c + 18, -4*z + 16 = -2*c. Let t(l) = -130 + z*l + l + 2*l + 123. Determine -7*f(v) + 4*t(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 372 and 1364?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14262.567 and -0.3.\nAnswer: -4278.7701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 6*d = -738. Suppose -23 - d = -7*s. Let b be s*(-3 - (-295)\/25). What is the greatest common divisor of b and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3659*a*d**2 + a*d + 179*a - 5*d**3 - 2*d - 2 wrt d.\nAnswer: 7318*a - 30*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81530, -81705, -81880, -82055?\nAnswer: -82230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6671, -166, 0, -8, -4 in decreasing order.\nAnswer: 6671, 0, -4, -8, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a08 (base 16) in base 2?\nAnswer: 101000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 513.5 - 513. Which is the closest to 0? (a) l (b) 3\/5 (c) 0.2 (d) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 4 = w - 3, 5*b + 5*w + 30 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 - (1 + 2)\/(-3). Let v be z\/1 + 2*1. Let c = v + 2. What is the remainder when 10 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1390 + -1133. Calculate the remainder when j is divided by 67.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 192080*q**3 - 9758840*q**2 - 1897435*q - 92055.\nAnswer: 5*(q - 51)*(196*q + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -9*r + 8. Let w(j) = -7*j - 616. Give i(w(m)).\nAnswer: 63*m + 5552","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(3 + (-20)\/5). Suppose 3*p + 0*p - 498 = j. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p. Let c(h) = 2*h**2 - 3*h - 3. Let m be (33\/(-6) + 2 - -2)*2. Give m*l(d) - c(d).\nAnswer: -2*d**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6.806139ug?\nAnswer: 0.000006806139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(2 + sqrt(539)*3)*5)**2*5.\nAnswer: 94500*sqrt(11) + 5461875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 - -15. Let p be ((-6)\/9)\/((-2)\/6). What is the tens digit of p + n\/1 - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 AM and 6:00 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**2 + 2*n**2 - n**2 + (-2*n + 3*n + n)*(3*n + 5*n - 3*n) in the form a*n**2 + k + l*n and give a.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, 1\/5, 0.58, 4\/5 in decreasing order.\nAnswer: 4\/5, 0.58, 1\/5, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u**3 + 8*u**2 - 28*u - 62. What is g(-10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - 48*o**2 + 24*o - 146. What are the prime factors of g(48)?\nAnswer: 2, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of -s**6\/30 + s**4\/12 - 3*s - 2. Let i(n) be the first derivative of x(n). What is the third derivative of i(a) wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 33\/98 and -7\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4602*x - 3 - 4445*x - 4442*x + 13467*x + 3.\nAnswer: -22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 1:15 AM?\nAnswer: 12:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 7:27 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 177496766 from -0.4.\nAnswer: -177496766.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8828213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -327168755 > -327168756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 8) to base 2.\nAnswer: 111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -2\/5 (c) -212\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) -5\/2 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 32601659 to the power of 1\/3, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43 - (-40)\/20) + -29?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-3)*((-9)\/3)\/(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8\/31 and ((-140)\/(-15))\/(-1) - 2.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**1*y)**(-47)\/(y**7*y\/(y**(1\/3)*y)) assuming y is positive.\nAnswer: y**(-302\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1913361 (base 10) in base 11?\nAnswer: 109759a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72\/17 - 2279\/510. Find the common denominator of (-60)\/330 - 43*(-31)\/132 and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -4\/9, -4\/15, -0.1, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(-10))\/((-15)\/25). Let l be (2 + (3 - 2))\/(-1). Let u = l - 0. What is the third smallest value in 2\/5, u, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34 - 60. Let l = 25.044138225 + 0.955859955. Let w = m + l. Round w to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -4*a - 6*a + 4*a - 33, -6*v - 54*a = -3*v + 417 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 0*n + 4*n + 15*n**3 - 6*n + 2 + n**2. Let d(f) = f**3 + 7*f**2 + 2*f + 6. What is the remainder when d(-5) is divided by u(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6924 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h - 2*h**2 - 4*h)*(4*h - h - 23*h) + 14*h + 3*h**3 - 66*h + 24*h to the form g*h**2 + w*h**3 + c*h + p and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -406, -403, -400, -397, -394?\nAnswer: -391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1289963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 2 = 0, 3*x - 13 = -2*d - 0*x. Suppose -10 - d = -5*u. Solve -5*a + 5*g = -u - 2, -7 = -5*a + 4*g for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 178?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-51 - -64) + 0 + 9 + 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -379*p + 31. Let r(l) = 133*l - 11. Let n(z) = -4*i(z) - 11*r(z). Let c(u) = -25*u**2. Give c(n(o)).\nAnswer: -70225*o**2 + 7950*o - 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 12*p - 41. Is 3 a factor of p\/8*12*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*(s\/((s\/(s\/s**(-2\/7)))\/s))\/s)**(-2\/45))**6)**(18\/11) assuming s is positive.\nAnswer: s**(-384\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 + 25 + -31 + -7?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 65*v**3 - 2334282*v**2 - 103263986*v.\nAnswer: 390*v - 4668564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, -28, -2325, -7, 6 in descending order.\nAnswer: 6, -2, -5, -7, -28, -2325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -r**3\/6 + r**2\/2 + 2*r. Let i be 3 - (-4 + 4) - 2. Let b be -3 + (8 + -4)\/i. What is x(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -33*w**2. Let t(r) = 1 - 57*r**2 - 1 - 59*r**2 + 439*r**2. Give s(t(c)).\nAnswer: -3442857*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 3 (c) 0.5 (d) 5 (e) 4 (f) -11 (g) 203\/54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 152874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -14) + 0 + -8 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**3 - 8*f**2 - 3*f - 14. Does 14 divide c(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 3*y - 4*o - 79 = 0, -373 = -4*y - 3*o. What are the prime factors of y?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4924878 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-151476)\/(-6797)*14\/9*-3\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 2*t**2 + 17 - 14)*(310*t - 25*t + 291*t).\nAnswer: -1152*t**3 + 6912*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4230.9 rounded to the nearest 10?\nAnswer: -4230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -5*n - 41, 111433*a - 111431*a - 18 = 2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*m - 24*m = 1764000. Round m to the nearest ten thousand.\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58792611 - 3.2?\nAnswer: -58792614.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 4:50 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 180 and 19309044?\nAnswer: 289635660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14602.8013 + 14604. Let k = w + -1.2. What is k rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2303 + 2308. Solve s*l - 49 = 3*a - 51, 3*a = 12 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*n**3 + 7*n**3 - 7*n**3 + (-2*n - 3*n**3 + 2*n)*(4 - 5 + 3).\nAnswer: 35*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 0.05 (b) -5 (c) -2\/15 (d) 2\/3 (e) -0.112\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 12 = 4*n - 3*s, 3*n = 2*s + 14. Let v(p) = p**3 - 15*p**2 - 17*p + 21. Let x be v(16). Let r be 0\/((x - n) + 5). Solve -m - m = r for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 617684321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20946 + 20945. Let w = 1.3 + -0.3. Which is the third biggest value? (a) w (b) y (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 8*b - 7. Let d be u(9). Let n(v) = v + 0*v + d*v. Let w(l) = -2*l**2. Give n(w(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 0\/(-6) + 5676\/258\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 415, -1369, 0.\nAnswer: -1369, 0, 415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -12576*d**2 + 88027*d + 24. Give v(7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -14*y**2 + 5*y. Let o(c) = 7*c**2 - 3*c. Let n(t) = -4*f(t) - 7*o(t). Is 3 a factor of n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilogram in milligrams?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 1 - 2)*(x + 4*x - x) + 11 - 11 + 16*x + 0*x + 0*x - 5*x - 4*x + 6*x - 3*x in the form a + j*x and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 2*h - 54, -81 = -3*h + 2*d - 3*d. Calculate the remainder when 80 is divided by h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 10*g - 2. Give k(-11).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n**4 + n**4 - n**4 + (-73*n**2 - 62*n**2 + 56*n**2)*(25*n**2 - 3*n**2 - 9*n**2) in the form x*n**2 + i*n + s + l*n**3 + w*n**4 and give w.\nAnswer: -1025","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-11 + (11 - 10) + -4 - -11 - -11).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2260*r + 1199. What is the thousands digit of s(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14472386.6 to the nearest one hundred thousand.\nAnswer: 14500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + 24\/4 + -19 + 566432 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -12*i - 546. What is m(-49)?\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n - 11. Let r = 33 - 29. Let c(i) = 3 - 1 - 3. Give r*h(u) - 44*c(u).\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 + q + 155. Let l be b(0). Suppose 27 + l = 2*y - 4*a, -5*a - 20 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 7\/((-7)\/6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53875?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 15 - 13. Is (r - 5) + 409 + 1 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1782) - sqrt(1782)*2)\/(sqrt(72) - sqrt(72)*-1) + -3.\nAnswer: -3 - 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -21*c + 6. Suppose 0 = 5*x + 2453 - 1158. Let l = x - -255. Let d(p) = -4*p + 1. What is l*n(i) + 22*d(i)?\nAnswer: -4*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -7163a444?\nAnswer: 7163a43b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -10 and 9.905903.\nAnswer: -0.094097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -2, -1, 1, -15807, 5 in decreasing order.\nAnswer: 5, 1, 0, -1, -2, -3, -15807","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 5648.\nAnswer: -7\/5648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 121910445 and 59010?\nAnswer: 4215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - h - 15 = -6, -5*u + 2*h = -9. Suppose -u*p + 66 = -z, -3*z = -3*p + 83 - 17. What is the lowest common multiple of 6 and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 52 = -129. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**7\/420 - b**4\/6 - b**2. Let d(v) be the second derivative of p(v). Let s(g) = -2*g**2. Calculate s(d(o)).\nAnswer: -72*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 336040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 741349?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -34\/115063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1071 (base 8) to base 16.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: c604 (base 13) to base 3\nAnswer: 1101120011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(2\/7)*x)**(-21)*x*x**(-2\/11)*x*(x**(1\/3)\/x)\/x*x assuming x is positive.\nAnswer: x**(-853\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 + 62. Suppose 19*d = p*d + 368. Calculate the highest common factor of d and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 807 + -809. Suppose 0*b = -5*b - 25. Suppose 3*u - 8 = -4*v, 4*u - u - 17 = 5*v. Sort v, h, b.\nAnswer: b, h, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 + -8. Let w = -773 - -1222. Let f = w - 450. Which is the closest to f? (a) 0.3 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 65805 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 309 and 8240?\nAnswer: 24720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -141*q - 9. Let l be f(-2). Let t = l + 116. What is t rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 - (-9 + 30 - 21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 3*y - 6*y - t, -4*y = 4*t - 20. Let f be (-5)\/(15\/y) - -5. Solve -j - f = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -4*((-234)\/52 + (-5)\/20).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1852?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/1788 and -113\/3178056?\nAnswer: 473530344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a - 60. What is the smallest common multiple of s(-8) and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 4*b**2 - 2*b + 4. Let u be k(4). Let h be ((-2)\/u)\/((-2)\/12348804). Let j = h + -412799. Round j to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 10, -2\/5, 0.05?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is two fifteenths of a millennium in months?\nAnswer: 1600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -11*p + 19. Let h(b) = -2*b**2 + 29*b - 10. Let s be h(14). Suppose 0 = 3*k - 1 + 10, -s*z - 49 = -k. List the prime factors of q(z).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10213663 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 2*o. Let a = 5 - 8. Let z be r(a). Let y(q) = -q**2 + q + 0*q**3 + q**z + 2*q**3. Calculate y(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -187a84 (base 13) to base 6.\nAnswer: -21120142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -732, 4, -8 in increasing order.\nAnswer: -732, -8, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 1\/11, 3\/2, -30, 1.7?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -1. Let g(r) = -2*r + p*r + r - 3*r. Let y(f) = -16*f**2. What is g(y(m))?\nAnswer: 16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 h when two letters picked without replacement from ychyfcl?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 15*o - 22. Let u = 3 - -2. Suppose 5 = -m - u. List the prime factors of f(m).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q**2 - 16115624*q + 13. Let m(h) = -h. Calculate t(m(n)).\nAnswer: 2*n**2 + 16115624*n + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -5000?\nAnswer: -1\/1250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 3 (b) 1 (c) 0.1 (d) -10 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*u + 11, -u + 11 = -3*f. Let j = -0.22 - -0.62. Let b = 235\/9 + -26. What is the smallest value in j, f, b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1120120 - -121020?\nAnswer: 2011210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44492 + 44491 - 101*r - 88985 - r**2)*(-3*r + 2*r + 0*r).\nAnswer: r**3 + 101*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((76\/3)\/(-2))\/((-2)\/66). Suppose n = -2*c + 7*c - l, 2*c - 166 = n. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-9)\/24*29. Let t = -23 - g. Is t less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1375, 1159, 3415, 5255, 6541, 7135, 6899?\nAnswer: 5695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-2\/55))\/j**5*((j\/(j\/j**19))\/j)\/(j*j\/(j**(-1\/6)\/j)) assuming j is positive.\nAnswer: j**(3587\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5313 + 39740. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -761827, -761809, -761791, -761773, -761755, -761737?\nAnswer: -761719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 28 + 34 + (-26 - 24)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*sqrt(1512) + 2*-2*sqrt(1512))\/(sqrt(54)\/(sqrt(9) - (3*sqrt(18) - sqrt(18) - sqrt(18))\/sqrt(2) - sqrt(9))*4).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -0.5, -0.23, -5\/9, -0.21 in increasing order.\nAnswer: -5\/9, -0.5, -0.23, -0.21, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**4 - 846*u**3 - 12111*u**2 - 25488*u + 38448 = 0.\nAnswer: -267, -12, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -45*z - 272*z + 44 - 618*z - 40 in the form x + u*z and give u.\nAnswer: -935","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1160 and 8410?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5 + (-1 + sqrt(931) + -2 + 0 - (-1 + (sqrt(931) - -2*sqrt(931)*4))))**2.\nAnswer: -336*sqrt(19) + 59593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.3 - 3.7. Let x = 660\/7061 + -2\/307. Which is the second biggest value? (a) 0.6 (b) u (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 - q + (-4*q - q - 7*q)*(-2 - 2 + 2) + 7*q - 23 + 23.\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 75724000 to the nearest one million.\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2 - 4) + 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 19. What is the remainder when ((-3)\/5)\/((-5)\/225) is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*s**2 + 10*s**2 - 4*s**2 + 11)*(0*s - 2*s**2 + 0*s).\nAnswer: -34*s**4 - 22*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/83 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*d - 9 = 0, 3*d - 2 = -3*x - 11. Suppose 10 = -4*k + i, 4 + x = -2*i. Let z(s) = s**3 + 4*s**2 + 3*s - 4. Give z(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5678728 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 293*w - 48 = 269*w. Let k(g) be the second derivative of -1\/3*g**3 - g + 0*g**w + 0. Let v(s) = 12*s. Calculate v(k(c)).\nAnswer: -24*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(9\/2)\/f**(-6) assuming f is positive.\nAnswer: f**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 1065\/11. Suppose 7 + 5 = 4*y. Let x = y - 3. Is x greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270881333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 52 = -2*k, -3*i + 1835 = -734*k - 15053 for k.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r + 17. Let p be m(-17). Suppose 3*l + 3*c - 1701 = p, 9*c = -2*l + 4*c + 1125. Calculate the highest common divisor of 19 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g - 5*x = -276, -60541*x = -3*g - 60542*x + 54 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - 164525462?\nAnswer: -164525461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -6 (b) 5 (c) 1\/8 (d) -20\/1093\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 259609765 to the power of 1\/2, to the nearest integer?\nAnswer: 16112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 4. Let n(l) = l**3 - 4 - 5*l**3 + 5*l + h*l**2 + 2*l**2 - 3*l. Let o(w) = -7*w**3 + 7*w**2 + 3*w - 9. Let t(b) = 5*n(b) - 3*o(b). Calculate t(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 - 28*z + 56. Let b(a) = a**2 - 6*a + 12. Let f(g) = 14*b(g) - 3*c(g). Let t(r) = -51*r**2. Calculate t(f(d)).\nAnswer: -204*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 74.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + -40121?\nAnswer: -40122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14566?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 662375 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 6:58 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -9161591\nAnswer: -9161591","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 11. Suppose 90 = -7*z + 10*z. Suppose -k*y - y = -z. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-660*l + 404*l - 605*l)*(4*l + 9*l + 2*l).\nAnswer: -12915*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -364 - -334.66. Let h = r - -30. Let u = -0.6600169 + h. What is u rounded to six dps?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 11:42 AM?\nAnswer: 10:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -89 - -94. Suppose 3*i - 2*c + h = 30, 15 = i - 2*c. Suppose 13*k - 21 - i = 0. Calculate the lowest common multiple of k and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33724047 to the power of 1\/2, to the nearest integer?\nAnswer: 5807","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1023*t**3 + 6*t**2 - t + 20389?\nAnswer: -3069*t**2 + 12*t - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-53 - -26) + -18 + 51 + (1 - -9)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1129*u - 261*u - 227*u - 233*u - 243*u - 238*u.\nAnswer: -73*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -650.427 * 33.7.\nAnswer: -21919.3899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1459385\/2 + 729700. Solve -12*u - x*u**2 - 3\/2*u**3 - 6 = 0 for u.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*m + 7 = -176*m, -5*n - 151 = 4*m - 0*m for n.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 6*v**2 + 6*v. Suppose 4*c = -4, 5*x - 5*c + 15 = -15. Calculate the smallest common multiple of 7 and p(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than 2095405.46558?\nAnswer: 2095410.46558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*b - 6*b = -24 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 97?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5*(-1 + 0)\/1. Suppose -10 = -a + 4*t, j*t = -5*a + 3*t + 72. Suppose -3*d - 15 = 0, -d + a = g - 17. 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 l(t) = t**3 - 9*t**2 - 3*t + 30. Determine l(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3821*z**2 + 4278*z**2 + 1647*z**2 as w + b*z**2 + q*z and give b.\nAnswer: 9746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.159 - 153.841. Let c = s + 153.204. Let x = c + 0.016. What is x rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 125\/2 + 2\/(-4). Suppose 18 + g = y. Suppose 4*c + c - y = 0. Is 8 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6529783 is divided by 4359?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 21*b + 10. Let n be i(2). Let x = n + 12. Let l = x + 105. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.07 and -180635.\nAnswer: -180635.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**4 - 5*t**3 - 6*t**2 - 5. Let y(k) = -6 - 8*k**3 - 13*k**2 + 7*k**2 - 2 + k**4 - 3*k**2. Let u(b) = 8*a(b) - 5*y(b). Find q, given that u(q) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.6 + 0.6. Let k = 0 - -1. Which is the closest to k? (a) 1 (b) -3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 507292 divided by -253646\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4820896717 to the nearest integer?\nAnswer: 1689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of 0 + 0*m + 1\/10*m**7 + 0*m**4 + 85\/6*m**3 + 0*m**6 + 104*m**2 - 1\/15*m**5. What is the first derivative of y(i) wrt i?\nAnswer: 84*i**3 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(2\/9)\/(o**4*o)*o\/(o*(((o\/o**(6\/5))\/o)\/o)\/o)*o**(2\/9)\/o*o)\/((o**(2\/9))**(-17)*o**7*o**(3\/5)) assuming o is positive.\nAnswer: o**(-233\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -394 in descending order.\nAnswer: 5, 3, -394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (937 - 2119 - 1628 + 291 - 1407)*(14*y**2 - 19*y**4 - 14*y**2).\nAnswer: 74594*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 55*p**2 + p - 68. Let m(k) = -123*k**2 - 3*k + 136. Calculate 4*m(u) + 9*s(u).\nAnswer: 3*u**2 - 3*u - 68","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4541?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/4 or 1670?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6362381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d + 35 + 2*d - 34. Let f(z) = -z**3 - 5*z**2 - 4*z - 3. Let y be f(-4). What is the lowest common multiple of 18 and g(y)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l + 1. Let w(x) = -36*x**2 + 3*x + 3. Let s(o) = -12*i(o) + 4*w(o). Let u(a) = -2*a**2. Determine u(s(m)).\nAnswer: -41472*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(1\/2*-4). Suppose 0 = 5*l - 4*l + 5*v + 17, 3*l + 5*v + 21 = 0. Sort l, -4, q, 5 in descending order.\nAnswer: 5, q, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)*-4*-3 - (sqrt(104) - -4*(sqrt(104) + 3*sqrt(104))))\/(4*(-2*sqrt(72) - sqrt(72))*4).\nAnswer: 5*sqrt(13)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 11:57 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gfgf when four letters picked without replacement from gggfgfggffgggf?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 7*q**4 - 6*q**3 - 6*q**2 + 9*q - 42. Let x(k) = -k**4 + k**3 + k**2 - 1. Let z(o) = b(o) + 6*x(o). What is the first derivative of z(f) wrt f?\nAnswer: 4*f**3 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (266\/(-171) - -15 - (-12)\/(-27))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v**2 - 82*v + 490. Give z(7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k**3 + 0*k**3 - k**3 + (-1 - 2 + 2)*(5 + k**3 - 5) - 290*k**2 + 290*k**2 + 20*k**3.\nAnswer: 20*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 91*g = -24*g - 1932. Let i(z) = -z**3 + 41*z**2 + 44*z - 89. Determine i(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 439?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-25)*(-10)\/(-15).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*y + 75*y = 60 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 4. Let s(o) = o**v - 7*o**2 + 6*o**2 + 3 - 2*o**2. Let f be s(3). Solve i = f*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192)\/sqrt(4) + -5)**2.\nAnswer: -40*sqrt(3) + 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -684.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -21.12405, 18 in ascending order.\nAnswer: -21.12405, 0.01, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5\/2 + -5. What is the biggest value in 4, -1\/3, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p\/(p**(-9)*p))\/p*p))\/(p*p*p**(-1\/4))*(p**(2\/7))**(4\/3) assuming p is positive.\nAnswer: p**(-787\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 3*k**2 + 0)*(-9*k**2 + k**2 - 2*k**2).\nAnswer: 30*k**4 - 40*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 2:15 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1870608886 to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(2\/17)*s*s*s)\/(s**3\/s))\/((s\/s**(2\/17))\/(s\/(s\/s**(-1\/8)*s))))\/(s\/((s**(-3)*s)\/s)*s**4)**50 assuming s is positive.\nAnswer: s**(-54385\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/4 + -11)*(-36)\/30.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1683358 and -3.\nAnswer: -5050074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 505783 - -3b?\nAnswer: 505802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15, 66, 115, 162, 207, 250?\n\"Answer: -i**2 + 54*i - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 + 0.5. Let m = -4.8 - -4.2. Let f = m - l. Which is the closest to -1? (a) -0.3 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 19*d**2 - 16*d + 39. Let h be q(-18). Let k = 13 + h. Calculate the remainder when 26 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((6 - (1 - -8)) + -1 - -7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 2*u + 4*u**3 + (3*u**2 + 3*u**2 - 5*u**2)*(3*u - 5*u + u).\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 5653 - 1284 = 0. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + v = 6, 3*v - 11 + 14 = 4*h. Let i(r) = r**2 - 4*r - 5. Let u be i(5). Solve -h*l - 10 = -5*t - 8*l, 3*t - 2*l - 16 = u for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4142505 (base 6) in base 13?\nAnswer: 70181","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -556766579 - 158.\nAnswer: -556766737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9325323 - 5*g - 9325323.\nAnswer: -5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - 5*p. What is the remainder when 1*3 - (-29 + 4 + 3) is divided by q(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 79*p**5 - p**3 + 234*p**2 - 250373*p wrt p?\nAnswer: 1580*p**3 - 6*p + 468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8144099 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14431329?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by (370\/(-30) + -10)*-6 - 1*5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mrrrrm. What is prob of sequence rmm?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 11*y**2 + 14*y - 26. What is the remainder when p(11) is divided by 28?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2734240 and 2300.\nAnswer: 13671200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 438f17 (base 16) to base 8\nAnswer: 20707427","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139527511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12 - -142202232333?\nAnswer: 142202232400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b + b**2 - 2*b - b**2 + 3*b**2 - b**2 + (4*b**2 - b**2 - 2*b**2)*(-4 - 2 + 4) - 5*b**2 + 0*b**2 - b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 270705173 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**3 + z**2 + z. Let o be l(-1). Let a = -91 + 82. Suppose 4*v + 3*v = -0*v. Put v, a, o in increasing order.\nAnswer: a, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/130*585\/(-390).\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**2 + 175*l + 0 + 0*l**2 - 7 - 173*l + l**2. Let s(t) = 6*t**2 + 2*t - 6. Calculate -5*n(i) + 6*s(i).\nAnswer: 6*i**2 + 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16828865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7604 + -7603. Let i = 7 + -7. Solve i = -4*a + v - 9 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-192*x**2 - 42*x**2 + 42*x**2)*(2 - 1 + 1)*(-2*x - 1 + 1) to y*x**2 + v + q*x**3 + h*x and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 933 divide 242463980?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.06, -4, 490, -1\/8, -2, 0.2, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 246 (b) 24 (c) 1 (d) -5 (e) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-2\/11)))\/(h*(h*h**(-9))\/h) assuming h is positive.\nAnswer: h**(86\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 99*z**2 - 3*z - 3. Let n be h(-3). Let g = -604 + n. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*s - 7*c - 20, 5 = -3*s - c. Suppose -4*b + b + 30 = s. Let l = -7 + b. Solve 2*m = j + 9, -15 + 3 = l*j - 3*m for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/52191 less than 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.02 or 3041613?\nAnswer: 3041613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, d: 2, j: 3, n: 2, p: 3}. Give prob of picking 1 t and 2 n.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010010110110010110010 - 11?\nAnswer: 11010010110110010101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 6*l - 10, -870 = -4*s - 3*l. Let w = -217 + s. Solve -7*q + 15 = -w*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30174 is divided by 14121.\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**5\/8 - 87*o**4\/4 + 2685*o**3\/8 - 2265*o**2\/4 - 336*o + 588 = 0.\nAnswer: -1, 1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -17*c**6\/3 - 3*c**5\/5 - 403*c**3 - 1656. What is the third derivative of o(k) wrt k?\nAnswer: -2040*k**2 - 72*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 - 2*o**4 + 1 - 3*o**3 + 3*o**3 + o**4 - o**4 - 3*o**4 + 6*o**4 + (-2 + 2 - 2*o)*(-5*o**3 - 2*o**3 + 5*o**3) - 9 + 9 + 5*o**4.\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 8:45 AM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 206\/9 + (-30)\/(-270). Calculate the highest common factor of 92 and y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = -33*g + 38*g, g + 6 = -2*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/9 + (-104)\/(-6). Let n be (x\/(-132))\/((-6)\/304). Find f such that -26\/11*f - 10\/11*f**5 - n*f**3 + 64\/11*f**2 + 4*f**4 + 4\/11 = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from phpph. What is prob of sequence php?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -13*s + 331. Let w(h) = 84*h**2 + 6721*h + 106. Let b be w(-80). Give d(b).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 38758, 38648, 38538?\n\"Answer: -110*j + 38868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 200617824 to the nearest integer?\nAnswer: 14164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2172094 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 799.7 - 800. Which is the second smallest value? (a) -1 (b) 2\/43 (c) 0 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 3:47 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112203 + 218203. Suppose -2*y = -0*y - v. What is y rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 29 + 1 = 0. Let u = 12 - t. List the prime factors of u.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -4\/3*z**3 + 1\/330*z**5 - 9*z**2 + 0*z + 0 - 1\/220*z**6 + 0*z**4. Let c(x) be the first derivative of r(x). Factor c(g).\nAnswer: -2*g*(9*g - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.019 - -3.081. Let k = z - 2.9. Let w = -26 - -21. What is the closest to 1\/6 in 1\/3, k, w?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 221028 and 452?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(((sqrt(208) + -4 + sqrt(208) - sqrt(208)) + sqrt(208))*4 - sqrt(208)) + 4 + 1 + sqrt(208) + 1)**2.\nAnswer: -8640*sqrt(13) + 86116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 95185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 224850?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 2 (c) 0.1 (d) 53\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**7\/315 - b**5\/90 + b**2\/2 + 3*b. Let n(j) be the first derivative of c(j). Factor n(p).\nAnswer: 2*p**2*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 54 = -0*w + 2*n, 0 = -w + 2*n + 22. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**27)\/((d*d**(-37))\/d) assuming d is positive.\nAnswer: d**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(425))**2*-6.\nAnswer: -2556 - 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*u - 6 = -46*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 + 44*y - 288. What is the smallest common multiple of j(6) and 462?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 24401 or 268413\/11?\nAnswer: 24401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-17)\/(p\/p**(-2\/3)))**40 assuming p is positive.\nAnswer: p**(-2240\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of -47*b**7\/210 - 85*b**4\/24 - 18*b**2 + 1. What is the second derivative of l(z) wrt z?\nAnswer: -564*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -14 + -9 + 28 + -75?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -33 + v**3 + 4*v**2 + 2*v + 0*v**2 + 33. What is c(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 8:38 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1531 divided by 5.\nAnswer: -1531\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -25*-7673\nAnswer: 191825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*z + 22 = -0*z, -3 = 3*s + 3*z. Let g = s - -17. Calculate the greatest common divisor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -156562 + 36?\nAnswer: -156523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 k when two letters picked without replacement from {k: 3, o: 5, e: 2, w: 2}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -23\/6? (a) 2\/5 (b) -3 (c) -1\/6 (d) -0.1 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1220*j**3 + 2*j**2 + 1072*j wrt j.\nAnswer: 7320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 112 or 108?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + 2 + (-52)\/60. Let l(s) be the first derivative of 2\/5*s**2 - r*s**3 + 0*s + 3. Factor l(o).\nAnswer: -2*o*(o - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = g, -33 = 3*g + 5*q - 31 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 10:00 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 0*q + 0*q**2 - 2\/7*q**5 - 2\/7*q**3 - 1\/2*q**4 - 1\/21*q**6 - 185. Determine n, given that r(n) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3155033 centimeters to millimeters.\nAnswer: 3.155033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2283, -9151, -20595, -36615?\nAnswer: -57211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 61, -0.11, -1\/5, -38\/37?\nAnswer: -38\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -358*s**4 + 9*s**2*y**3 - 21*y**3 - 4*y + 37 wrt s?\nAnswer: -1432*s**3 + 18*s*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 59963335?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 13. Suppose -k - 5*n = -0*k + 5, 4*n + 88 = -d*k. What are the prime factors of 112\/10 + 4\/k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of 9*p**5\/10 - p**4\/4 - p**3\/2 + p**2\/2 + 6*p. Is r(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 44336 and -10028 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 18.8. Let t = -23 - m. Let j = t + -4.1. Which is the nearest to j? (a) 1 (b) 3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -11. Let o = v - 5.3. Let i = -0.7 + o. Which is the nearest to -1? (a) -0.5 (b) i (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 224208 divided by 346?\nAnswer: 648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/94 and -131\/1068.\nAnswer: 50196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 10:11 PM?\nAnswer: 11:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**2 - 28*w + 84. Let a be b(10). Suppose -g = 2*q - 357, 3*q - 5*q - 1378 = -a*g. What are the prime factors of g?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/10 - 0)*5. Let n(i) = i + z - 2. Let m(x) be the second derivative of x**4\/6 - 72*x. Give n(m(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5*p + 2345 = 0, 609 = -2*m + 5*p - 338. Let y = 864.6 + -864.5. Which is bigger: m or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k + 4*k + 3*k - 3*k + 3. Let p be d(-2). What is the remainder when 21 is divided by -30*((-39)\/p - 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 35*w = 40*w + 135*w + 5115 for w.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 6. Suppose 2*q + 2*k = -0*k + 1460, q - 3*k = 738. Is f\/4 + q\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91390 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28, -116, -260, -460?\n\"Answer: -28*s**2 - 4*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14455, -28911, -43377, -57859, -72363, -86895?\nAnswer: -101461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10428, 19266, 28116, 36984, 45876, 54798?\nAnswer: 63756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1145*s**2 + 1146*s**2 + 3*s**3 - 2291*s**2.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes before 11:15 AM?\nAnswer: 9:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124\/2666 + (-6840)\/(-860).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 382 and -15.5752698.\nAnswer: 366.4247302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -6 - 11 - -6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1707339 is divided by 853662.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 79 + -31. Let k = b + -44. Solve -3*m - 2 = k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/3 (b) 4 (c) -4 (d) -80\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s + 2. Let c be u(8). Let a = -10 + c. Suppose 0 = -2*h + 22 + a. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.016 - 0.516. What is the nearest to 6 in 0.2, 1, y?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**5\/30 + 256*m**2. Let p(f) = 93*f**2. Determine b(p(t)).\nAnswer: 17298*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Expand (m - 6 + 6)*(158*m**2 + 967*m**2 - 57*m**2).\nAnswer: 1068*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3988\/(-2) - (-3 + 13 + -8). Let v = w + 3056. Does 20 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 15. Let r be t(-12). Suppose -2*g - v = -2, r*g - v + 10 = 4*v. Let y = 40 - 24. Which is the closest to g? (a) 0.1 (b) 5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -130270 to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -3*a**2. Let l(u) be the second derivative of 0*u**3 + 0*u**2 + 0 - 8*u - 1\/4*u**4. What is l(z(f))?\nAnswer: -27*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**4\/x)**(-24)\/((x**13\/x*x)\/x)**(-5\/12))**(-18\/11) assuming x is positive.\nAnswer: x**(1206\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 + 17 = 2*a - 51*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**0)**49\/(r**3\/(r\/r**(-2\/9))) assuming r is positive.\nAnswer: r**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-10)*5 - -5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -8*t**2 - 4 + 2*t**3 + 894775*t - 894915*t - 19*t**2 - 3*t**3. Give n(-20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36361 - -4?\nAnswer: -36354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1427*y + 2566 = 9617 + 1511 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -3*c**3 - 135*c**2 + 141*c + 131. Calculate g(-46).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + (1 - 5))\/(-16). Which is the nearest to -2\/3? (a) g (b) 1 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4646 - -4647. Let m = -13 + 16. Which is the nearest to 1\/4? (a) 1\/10 (b) z (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60862148?\nAnswer: 2, 167, 179, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-5\/4)\/(j\/j**10)*j\/j**(-4)*j**(-2\/21) assuming j is positive.\nAnswer: j**(1063\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 15 = -3*j - 0, -8*j + 25*j + 2*g = -5*j - 50 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2600\/99 - 238\/9. Let v = 1462 + -1457. What is the third smallest value in j, 2\/5, 17, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2000) + -2*-2*sqrt(2000))*4)\/(((sqrt(1250)*1 - sqrt(1250)) + sqrt(1250))\/(5*sqrt(20)\/sqrt(4))) + -3)**2.\nAnswer: -1200*sqrt(2) + 80009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, -52, -141, -282, -493?\n\"Answer: -3*r**3 + r**2 - 37*r + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 49 + 419 = 2*d, -2*d + 4*k + 322 = 0. Solve 163 = 2*s + d for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*i + 395*i - 106*i - 103*i - 92*i.\nAnswer: -21*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -356*n + 346*n - 150 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16764, -33572, -50386, -67206?\nAnswer: -84032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125489 is divided by 62723.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 211810897 to the power of 1\/2, to the nearest integer?\nAnswer: 14554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j + 18. Let o be a(14). What is the first derivative of 1 + 8 + o*d**2 - 6 wrt d?\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -72 - -72. Let o(s) be the third derivative of -1\/12*s**4 + 0 + 2\/3*s**3 + i*s - s**2. What is the first derivative of o(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -15. Suppose -5*r - i = i - 24, 4*r - t = 2*i. Suppose -3*p - 15 = -r. Which is the second smallest value? (a) 3 (b) -0.1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*r - 2*h + 2 = 0, 2*h = 8. Let w be ((-2)\/5)\/1*5\/r. Suppose 20*v - 30*v + 10 = 0. Which is the nearest to w? (a) 4 (b) v (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.6 - -25. Let t = z + -0.2. Suppose 0 = -5*r - 5*y - 0*y - 30, 3*r - 14 = 5*y. Which is the nearest to -2\/11? (a) -4 (b) r (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011001010110111 (base 2) to base 8.\nAnswer: -131267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((14\/7)\/(-22))\/((-1)\/(-10))?\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**5\/2 + 51*h**4 + 1083*h**3\/2 + 1350*h**2 - 4536*h + 2592.\nAnswer: 3*(h - 1)**2*(h + 12)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-14)\/(-10) - 0) + -1. Let o = 0.3237 - 0.6237. What is the biggest value in o, 6, -1, v?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1134, -6800, -22184, -52146, -101546, -175244?\nAnswer: -278100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*k + 22*k - 31*k)*(3*k**4 + k**4 - 5*k**4).\nAnswer: -7*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q - 81 = -10*q. Suppose q*z - 703 = 863. What is the remainder when z is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 30.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -2*x + 2328, 2*a - 54 = -5*x - 1020. Which is smaller: -6098\/13 or a?\nAnswer: -6098\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 1. Let h = 5 + -4. Let c = 2 + h. What is the smallest value in 2, p, c?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155 is divided by 84.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xci when three letters picked without replacement from {x: 1, i: 5, c: 3}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -6. Let k = 1 + u. Let p be 26\/(-4) - (-3)\/2. Put k, -1\/6, p in increasing order.\nAnswer: p, k, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-178)\/(-6) + 7254\/(-234))*(-786)\/(-8).\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -44*w + 485. Let t be k(10). Calculate the highest common factor of 375 and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n - 32 = 2*n. Solve 4*b - 3*h = 1 - 18, -3*b + n*h = 18 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -203569 minus 3498?\nAnswer: -207067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -4\/7 (b) -2.5 (c) 19 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 299 = 302. List the prime factors of (-2)\/(-6)*k*-614*-3.\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6892*q**3 + 1687*q?\nAnswer: -41352*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -19848*b. Let m(z) = 15*z - 14. Give m(d(l)).\nAnswer: -297720*l - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*j**3\/17 - 440*j**2\/17 - 21672*j\/17 - 212544\/17.\nAnswer: 2*(j + 18)**2*(3*j - 328)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 39704 + 8785 = b, 2*b - 15457 = -f. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 23634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (60\/(-72)*36\/40)\/((-13)\/676)\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/18)\/(-4*5\/(-150)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 4 = 46. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 36 (b) -149 (c) -0.741 (d) -4 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 4*v + 1605 = 0. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 11*b**6 - 3*b**3 + 12*b**2 + 3*b. Let f(j) = 12*j**6 - 4*j**3 + 13*j**2 + 4*j. Let h(g) = -3*f(g) + 4*u(g). Find the third derivative of h(a) wrt a.\nAnswer: 960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35414133 (base 6) in base 12?\nAnswer: 454349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 188 and 4.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 66 = -n, 2*c + 66 = -2*n + 3*n. Calculate the remainder when n is divided by 14\/21 - 134\/(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*d - 13*d = -82. Let s be d + (-12)\/7 - 62\/217. Solve 41 = 5*y + 16, s = 4*m - y + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**4 + 2*q**3 - 2*q**3 + (73*q - 73*q - 13*q**2)*(12*q + 0*q**2 + q**2 - 1 + 0*q**2) in the form s*q + n*q**4 + b + j*q**3 + a*q**2 and give j.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 426 + -19586083.\nAnswer: -19585657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 133640.\nAnswer: -7\/133640","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 4:23 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.66\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*n + 29 - 54 + 24 to the form k + m*n and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6392 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 21020?\nAnswer: -21002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.9, 1\/3, -0.1, -24?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 50 = -6*v + 21. What is the third biggest value in -1\/11, 475, v, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 i when two letters picked without replacement from {c: 2, i: 1, h: 1, l: 1, o: 1, v: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -24*v. Let r be u(-3). Let h be 36\/r*(-1 + 1). Are 1\/26 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 107025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -161465 times -0.059?\nAnswer: 9526.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -4) + (-13 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 732\/(-14) - 2 - (-6)\/21. Let g be (q\/(-12))\/(6\/8). Is (-4)\/(-12) + 6256\/g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 491 - ((-4)\/(-1) - 5). Let u be 2\/(-10) + s\/(-15). Let o = u + 43. Solve 3*y - o = 5*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 76\/5 of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 4*s = -11, -4*j + 5*s - 61 = -36 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3)*(6*a**2 + 18*a**2 - a**2)*(a + 0*a + a) in the form s*a**2 + k*a + q*a**3 + c and give q.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 455 + 25013?\nAnswer: 25512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2201256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1378 and -0.089192864969?\nAnswer: 1377.910807135031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.5 - 0.9. Let u = 0.5 + b. Let r = -0.2 - u. What is the third biggest value in -2\/11, r, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 1. Let p = 865 - 1514. Let s = p + 648. Let x(l) = -2*l**3 - 3*l**2 + 2*l - 1. Give s*x(d) - 3*u(d).\nAnswer: 2*d**3 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes after 11:50 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from vcyyyvyycccvciy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**2 + 4*t**2 - 2*t**2 + (-1 + 1 - t)*(-2*t - t + t) - 108676 + 108676 - 345*t**2 + (3 - 2*t - 3)*(2*t - t + t) to g*t**2 + v + y*t and give g.\nAnswer: -344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -4, -2\/735?\nAnswer: -2\/735","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7700 - -8367. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbejbtjbjxbjj. What is prob of sequence betx?\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 32961650 rounded to the nearest one hundred thousand?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**0\/v*v)\/((((v\/v**(-2\/9))\/v)\/v)\/v)*(v*v**(-4))\/(v**(-3)*v) assuming v is positive.\nAnswer: v**(7\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 + 15. Let w = t + -4.96. Let c = w + -0.34. What is the third biggest value in -3, c, 4\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e6a - -35?\nAnswer: 1ea0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18518.25784 + -18519. Round k to three decimal places.\nAnswer: -0.742","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35150*b - 35131*b + 70229*b.\nAnswer: -52*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -5*o + 3. Let k(h) = h**3 - 3*h**2 + 2*h - 2. Let i be k(3). Let x(y) = -y - 2. Let q(f) = -2. Let z(t) = i*x(t) - 5*q(t). Determine 3*u(j) - 4*z(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 36 - 30 = 4*t, -3*y - 12 = -t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 5:25 AM?\nAnswer: 4:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8578815843.00000091 + 8578815668. Let x = 175 + s. Round x to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)*-2)**2 + sqrt(140)\/sqrt(7).\nAnswer: 2*sqrt(5) + 2880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 17 = -4. Suppose 0*t - 3*t = 2*a - 44, -z*t = a - 28. Does 4 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1939*u - u**3 + 61 - 61 - 33*u**2.\nAnswer: -u**3 - 33*u**2 + 1939*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + -331454?\nAnswer: -331501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 32 + 18. Suppose 0 = -4*s + 4*b + 2 + 2, 0 = s - i*b - 3. Which is greater: -17\/41 or s?\nAnswer: -17\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -78.30151 - -78.3. What is m rounded to three dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-18))\/((-272)\/(-204)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177428.\nAnswer: 2, 44357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 divided by 26?\nAnswer: -71\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(6\/4*(-712)\/10680)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**2 + 361*h + 5260. Determine z(-72).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 42 = 14. Suppose f - n = -r, -5*r - 109 = -3*f - 35. What is the common denominator of -24*(f\/(-15) - -1) and -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5823*l**3 - 11617*l**3 + 4623*l**3.\nAnswer: -12817*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12756659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5161 - 1633 = 56*a. What is the smallest common multiple of 6 and a?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 12 = -3*s. Let a = 0.00823 - -0.03177. What is the nearest to 0 in -2, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 301406789 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 20*f - 188. Give t(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w. Suppose -5*s + 6 = -19. Let m = -73 - -75. Let o(j) = -s*j + m*j - j. Give b(o(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 323\/555 + 2\/111. Let m be 0*-2*(-1)\/(-4). Which is greater: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18555 + 137*c + 166*c + 18553)*(5 - 4 - 3).\nAnswer: -606*c + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 36.5 and 47549629.\nAnswer: 47549665.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7632 and 6678?\nAnswer: 53424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 4*c = -5 + 4, -2*z = 2*c - 12 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-15)*-1)\/((-191)\/(-764))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 235230 divided by 10.\nAnswer: 23523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 18\/10 + (-5)\/(-25). Suppose 0 = -5*b + v*t + 12, t = 4*b - 4*t + 4. Suppose 155 = b*i - 5*p, 0 = -2*i - 3*p - 17 + 78. Is 7 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**3 - 15*g**2 + 5*g + 15 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 3212 = 3*r, 0*r + 4*m = -r - 1064. Is 15 a factor of 2\/9 + r\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/70)\/((-32)\/160).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -9590?\nAnswer: -958b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 12*k**2 - 9284*k - 3096 = 0?\nAnswer: -1\/3, 774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 - 3. Let f(a) = -a + 2. Let m(c) = 5*c - 29. Let s be m(26). Let h = 36 + s. Let u = -140 + h. Calculate u*f(o) - 2*t(o).\nAnswer: -2*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40867?\nAnswer: 40867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/126*4*9\/(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.558715 decades in millennia?\nAnswer: 0.03558715","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**3\/7 + 40908*g**2 - 1718043*g\/7 + 1431690\/7 = 0?\nAnswer: 1, 5, 95446","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110001101111001 - -11?\nAnswer: 1110001101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zmcsumbsmcsscsubzzu. What is prob of sequence zuzm?\nAnswer: 3\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 5\/6 (c) -24 (d) -2 (e) 1\/21 (f) -2\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 4*q**2 + 0 + 0*q + 1\/30*q**5 + 0*q**4 + 0*q**3. Let a(b) = -2*b**2 + 6. Calculate s(a(x)).\nAnswer: 8*x**4 - 48*x**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 39*p + 13. Let j(o) = o**2 + 20*o + 6. Let z(m) = 3*b(m) - 5*j(m). Let d be z(9). Solve -7*g + 12 - 40 = d for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 11, c: 8, d: 1}. What is prob of picking 2 c, 1 y, and 1 d?\nAnswer: 308\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlpwvwqx. What is prob of picking 1 x and 1 v?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 2, -1\/11, -2.\nAnswer: -2, -1\/11, 2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.23 from 78992939324.\nAnswer: 78992939324.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3 - 202*f + 3*f**3 - 10*f**2 + 21*f - 134*f.\nAnswer: 5*f*(f - 9)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/4*24\/20 - 4. Suppose 0 = -5*s + 1 + 14. Suppose 6*w - w - 1220 = -5*p, -t*w - 772 = -s*p. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 889*x**5\/60 - 225*x**4\/8 - 1005*x**2. Find the second derivative of q(v) wrt v.\nAnswer: 1778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 160961065?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from {h: 11, q: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00059017266 rounded to 6 dps?\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 14355644561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -382810000 to the nearest one million.\nAnswer: -383000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -124.43, -0.04, -0.2, -3\/8 in increasing order.\nAnswer: -124.43, -3\/8, -0.2, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -3*y + 55 - 8, -3*k + 13*y = 1 + 162 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 92*m**3\/3 + 28*m**2 - 8*m\/3.\nAnswer: 4*m*(m + 1)*(23*m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.4925 and -8218.\nAnswer: 20483.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 4500*k + 2603748.\nAnswer: -3*(k - 446)*(k + 1946)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12924 and 144.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*v**3 + 65*v**3 + 2*v - 22*v**3 - 31*v**3 + 2*v.\nAnswer: -5*v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m**3 - 15 + 0*m**3 + 29 - 11 + 11*m - 9 to v + w*m + a*m**3 + r*m**2 and give w.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2. Let d(f) = -f**2 - 30042*f + 6. What is d(p(h))?\nAnswer: -h**4 + 30042*h**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((18 + 2 + 9)*(-4 + 4 + k) + 0*k - 3*k + 2*k)*(-1 + 1 - 3)*(-2 + 2 + 1).\nAnswer: -84*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4919 + -4919.059155. What is r rounded to 4 dps?\nAnswer: -0.0592","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1497062172 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.199702 litres to millilitres.\nAnswer: 6199.702","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3354*r + 2181*r + 2179*r - 7708*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 817513109629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -20944470?\nAnswer: -20944475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/6 of a hour in seconds?\nAnswer: 18600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 4 = 0, 4*n + 48 = -2*j + j. What is the tens digit of (-6 - 14664\/j) + (-2)\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 22. Let w(p) = d*p + 4*p - 11 + 0*p + p. What is the tens digit of w(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15469*b + 0*b**2 - 15469*b + 2*b**2.\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -7*m + 303. Let u be t(44). Let y = 3 + -7. Let x = 13 + -9. Which is the second smallest value? (a) y (b) x (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1164185352 to the power of 1\/3, to the nearest integer?\nAnswer: 1052","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 90.49613ns?\nAnswer: 0.00009049613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 55 + -31 + -64 - (-8 - (-12)\/(-6))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 + -70 + (-7 - (-5 + 0)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58988*j**2 - 83*j + 312?\nAnswer: 117976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165197243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*l + 32942 + 34978 = 0. Is l a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2462 (base 7) in base 6?\nAnswer: 4142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.12226 + -0.1227572. What is t rounded to five decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.4 (b) 0 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4\/15 + 28*g**3 + 6902*g**2\/15 - 2280*g = 0. Calculate g.\nAnswer: -19, 0, 4, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*y + 6*y - 1056. Let z be (-1)\/(-2) + (-9518)\/18. Let q = z - y. Calculate the common denominator of -25\/22 and q.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 870\/19 + -12587\/228. Suppose -4*d - 6 = -2*d - 2*m, 0 = 3*d + 2*m - 11. Find the common denominator of d\/(-3) + 22\/84 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5*(4\/(-8))\/((-5)\/(-8)). Let z(j) = -j**2 + j + 1. Let s(i) = -3*i**2 - 3*i - 4. Determine d*z(n) - s(n).\nAnswer: 7*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i**2 - 2*i + 2. Let v(t) = -3*t**2 + 3*t - 3. Let k be ((-2)\/3)\/(1\/(-9)). Let w be (1274\/2340 - 34\/765)*8\/1. What is k*z(b) + w*v(b)?\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -127.7548 rounded to 1 dp?\nAnswer: -127.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -953, -1907, -2861, -3815, -4769?\nAnswer: -5723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 8 + 0 = 0. Suppose 6*s + 5 = 7*s. Solve -j*k - 2 = -b - 2*b, 5*b - 5*k = s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 367085 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2355*p**4 - 3424*p**3 + 20297*p**2 - 14702*p + 184 = 0. What is p?\nAnswer: -4, 2\/157, 1, 23\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36907360 and 18071.\nAnswer: 1063","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 a, and 1 y when three letters picked without replacement from ryvyyjjayayy.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2550 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 13*o + 3. Let q be a(13). Let t = 0 - 1. Sort -3, t, q in decreasing order.\nAnswer: q, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 + 28 = 2*g. Let m = 76 + -40. Calculate the greatest common factor of m and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 51*w + w**2 + 2*w**2 + 45*w - 8*w**2 to the form q + h*w + s*w**2 and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 112 + 26. Let r = q - -347\/5. What is the second smallest value in 3\/4, 3, r?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 + -46 - -36) + 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -3*o**2 + 2183292*o - 237943185 = 0?\nAnswer: 109, 727655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2997, -11805, -26465, -46977, -73341, -105557, -143625?\nAnswer: -187545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/297 + (-20810)\/270. Round y to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sisnitttttjsjhitih. What is prob of sequence nh?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*(sqrt(66)\/(sqrt(12)\/sqrt(2)) + sqrt(11)).\nAnswer: -4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 21*n = -71 - 228 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 12.58328?\nAnswer: 11.58328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3450089.36443983 - -1677.63502017. Let f = 3451708 - r. Let w = -59 - f. Round w to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*x = -3*x - 27 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(3\/(-33) + 0). Let m = f + -20. Factor -2\/7*s**m + 4\/7*s + 0.\nAnswer: -2*s*(s - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 26*x**2 - 37*x - 539. What is r(-27)?\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/2 + 11030392*n + 60834773836832 = 0. What is n?\nAnswer: -11030392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 177*p + 21242. Give w(-120).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 87, 148, 205, 258?\n\"Answer: -2*x**2 + 67*x + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yt when two letters picked without replacement from yyiiiyyt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14472 = 506*i + 114*i + 2128 - 12456 for i.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 97, 223, 323, 385, 397, 347, 223?\n\"Answer: -2*m**3 - m**2 + 143*m - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o**5 - 1364*o**4 - 45576*o**3 - 372664*o**2 - 213996*o + 114444 = 0. What is o?\nAnswer: -51, -11, -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 + 62. Suppose 92 - 137 = -n. Calculate the smallest common multiple of n and s.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 0*t + 0*t - 2*t + 0*t + 1. Let g(j) = -10*j + 6. Determine 2*g(l) - 11*r(l).\nAnswer: 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 69407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00609359 to five decimal places.\nAnswer: 0.00609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 22*i - 78. What is k(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 20.1, 5, 0.0102?\nAnswer: 20.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*g - 17, 0 = -3*t + g + 7 + 4. Solve -d + 9 + 2 = -3*k, 4*d - 28 = t*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -4*-2*(-2)\/(-16). Suppose 0 = -x + 5*m + 2, -4*m = 2*x + s + 6. Sort x, -1, 2, -4 in decreasing order.\nAnswer: 2, -1, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -0.01 (c) 114\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0475 * 1738\nAnswer: 82.555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:22 PM and 1:01 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3144 and 131.\nAnswer: 3144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thana. Give prob of picking 1 t and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/4773 and 61\/3158135.\nAnswer: 9474405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 12*a - 10. Let b(y) = -43*y + 32. Let t(n) = -2*b(n) - 7*o(n). Suppose -5 = 2*d + 7. Determine t(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -12*z**2 + 5*z + 2. Let y(x) = 31*x**2 - 15*x - 6. Let h(r) = -17*m(r) - 6*y(r). Let b(a) = 19*a**2 + 6*a + 3. What is -4*b(f) + 5*h(f)?\nAnswer: 14*f**2 + f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 63475 + -40248. Suppose 86113 = 6*p + u. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 402835367.\nAnswer: 11, 36621397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4)*q*(q\/(q*q\/q**(-2\/3))*q*q)\/q)**(2\/15)*q**(-2\/7)*q*q*q**(1\/9)*q**(-4\/17) assuming q is positive.\nAnswer: q**(5897\/5355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Divide 53913 by 2.\nAnswer: 53913\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -66?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -10*b + 36. Solve g = -2*g - b*y - 7, y = g + 7 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3 + 42*v + 2 + 1. Let p(x) be the second derivative of -x**4\/6 + 484*x. What is p(a(o))?\nAnswer: -3528*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10*g + 2*g + 4*g)*(-1 - 3*g + 1) - 533*g**2 + 267*g**2 + 267*g**2 - 580 to the form i*g**2 + v*g + k and give i.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 j when three letters picked without replacement from glbblglgbjgbgggjbgg.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1280, -1294, -1332, -1406, -1528, -1710, -1964, -2302?\nAnswer: -2736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5 (b) 0.4 (c) 0.05 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**(-1))*s)**(32\/3)*s\/(s*(s**(2\/41)*s)\/s)*s**(-6) assuming s is positive.\nAnswer: s**(1880\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -1056*x - 666307. What is j(-631)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -657?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*k = 6, -6*k + k - 10 = j. Solve 2 = 2*l - j for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 328656042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of -5*p**4\/24 - p**3\/2 - 5740*p**2. Let k(a) = 6*a + 3. Determine -5*d(x) - 4*k(x).\nAnswer: x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 7 = 3*r - t, 4*t + 5 = 3*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1880? (a) 2\/9 (b) -2 (c) -0.44 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 4 - y - 4. Let v(t) = -26*t**2 + 49*t**2 - 28*t**2. Determine g(v(w)).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 24 + 11. Let o be (32\/10)\/(14\/i). Solve 2*b + 0 = -o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 33341477 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14513 + -14513. Let t be (-34)\/(-10) + (-4)\/10. What is the nearest to -1 in 1, t, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/12)\/(-5)*-4. Let j be (0 - m)\/(1\/4). Suppose -j*y - y = -815. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 + 37450*r**2 - 112385*r + 74930.\nAnswer: 5*(r - 2)*(r - 1)*(r + 7493)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 662*l - 555*l - 3 + 2*l**2 - 611*l as a*l + d*l**2 + r and give a.\nAnswer: -504","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4364 + 43?\nAnswer: -4321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 w, and 1 q when four letters picked without replacement from {w: 3, q: 1, v: 5}?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -47*u**2 - u. Let d(x) = -3*x + 4. Calculate q(d(a)).\nAnswer: -423*a**2 + 1131*a - 756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 23131051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -44*h - 293. Suppose -q + 2*p - 14 = 0, 0 = -3*q - 2*p + 6*p - 38. Let y be k(q). Which is greater: 0 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546544377?\nAnswer: 3, 23, 691, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 128*g**2 + 7*g + 16. Let b be d(-4). Suppose 5*t - b = 304. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**4\/13 - 180*o**3\/13.\nAnswer: 2*o**3*(o - 90)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -837, -652, -501, -402, -373, -432, -597?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13561035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, -21, -2, 7, 0, -10 in descending order.\nAnswer: 7, 5, 0, -1, -2, -10, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 391\/17 + -33 - (1 + 35\/(-3))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 49. Let h(g) = -15*g - 26. Let s be h(f). Solve 12 = s*b - 4*m, 2*b = -5*m + 10 - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 80?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05 + 2179565619616.\nAnswer: 2179565619616.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -11 + -2549?\nAnswer: -255a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 + 38. Let d be o + 1 + 5\/((-20)\/(-448)). Let v = d - 209. Round v to the nearest ten.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -328.\nAnswer: -131.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-1\/4)*s)**(-29))**(13\/2) assuming s is positive.\nAnswer: s**(-2639\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -3*k - 4. What is the second derivative of 2 + 2*a**k - 2 - 2*a wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**4 - 496*q**3 - 45228*q**2 - 1795024*q - 26194322 = 0. Calculate q.\nAnswer: -77, -47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 + 136. Factor 2*o**t + 2*o**2 + 3*o + o.\nAnswer: 4*o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 4:59 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-1) + 285\/(-344) + (-77)\/(-88)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**5\/3 - 4*n**4\/3 - 11*n**3\/3 - 2*n**2.\nAnswer: n**2*(n - 6)*(n + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 154 + 7. Suppose 5*l = 8*d - 3*d - 275, 2*l + u = 3*d. Suppose x + 3*w - 23 = 0, 4*w - d = -5*x + 9. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/32 and 9\/224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5848\/14190 - (-12)\/(-22)\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 + 27. Suppose 0*a + 4*a + g*o - 17 = 0, -19 = -5*a - 3*o. Solve a = k + k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5084891443 and -374.57.\nAnswer: -5084891817.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) -3\/25 (c) -0.5 (d) 1.2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1633389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1470.8 plus 1?\nAnswer: -1469.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 165.2 + -160.2. Which is the fourth smallest value? (a) -3\/7 (b) r (c) 103 (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40 - 151. Let z = g + 1361. Suppose -5*l - 1669 - 2966 = -4*o, o + l = z. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of m**9\/6048 + m**5\/10 + 5*m**2. Let s(n) be the third derivative of r(n). Give s(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/1079950 and -63\/34100.\nAnswer: 736525900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s**2 + 4*s - 39. Let q(n) = n**2 + 3*n - 38. Let w(z) = -3*m(z) + 4*q(z). Find the first derivative of w(c) wrt c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = -4*k + 16, 3*a - 16 = -81*k + 77*k for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2 + -667)\/((-333)\/15207) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -5*m**2 - 6*m + 5. Let o be ((-6)\/18 - -1)\/((-1)\/(-9)). Let h(l) = 70*l**2 + 85*l - 70. Let y(u) = o*h(u) + 85*j(u). Solve y(a) = 0 for a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 d, and 1 i when three letters picked without replacement from tiiibbbttitidtttjibt?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 36*f**3 + 117*f**3 + 178*f**3 + (-f + 2 - 2)*(-f**2 - 6*f**2 - f**2).\nAnswer: 339*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*b**2 + 15*b - 2*b - 13*b)*(-b - 2*b - 3*b).\nAnswer: 282*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 2*q**2 + 3*q - 4. Let b be k(-3). Let w be -1 - -4 - (3 + b). Let i = 556.06 + -556. What is the smallest value in -0.2, i, w?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 52 + -311\/6. Let n be 2 + 4 + -2 + -2. Suppose 5*x - 5*y - 30 = 0, 4*x - 8 = n*y + 12. What is the nearest to -1 in j, x, 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**3 + 2349*h + 2400*h + 0*h**2 - 4749*h + 0*h**3 + 0*h**2.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 2*v**5 + 262*v**4 - 5370*v**3 - 782*v**2 + 16616*v - 10728 = 0?\nAnswer: -149, -2, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 is divided by (-85)\/15 + 7 - (-112)\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + v**2 + 7*v + 6. What is the smallest common multiple of 14 and p(-4)?\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23561763 (base 8) to base 16\nAnswer: -4ee3f3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*z**2 + (4*z - 3*z - 2*z + (-5 - 1 + 4)*(-3*z + 0 + 0) - z + 2 - 2)*(-z - 1 + 1)*(3 + 1 - 1).\nAnswer: -10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3563150 smaller than -3563149?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14625.3 + 13800. Let b = k + 788. Round b to the nearest integer.\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.4891 less than 0.1?\nAnswer: -56.3891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 7*z**3 - 725*z**2 - 2569*z + 107. Give g(107).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3750\/7 or 296?\nAnswer: 296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - -1 - 2 - (2 + 1). Let f(g) = -g**2 - 8*g - 2. Let b be f(j). Let v be (-7)\/(-1)*(-126)\/(-49). Solve -b*w = -4*t - 14 - 16, w + v = -4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -7*d**2 + 5*d - 4. Let s(h) = h**2. Let y(t) = 5*r(t) + 30*s(t). Factor y(n).\nAnswer: -5*(n - 4)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 330759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4991818, -4991827, -4991842, -4991863, -4991890, -4991923?\nAnswer: -4991962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5 - 1 = 0. Suppose -25 = -4*l - c, 0 = v*l - 0*l - 3*c + 5. Suppose 12 = 4*r + 2*d - 80, 3*r + l*d = 55. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - -68. Let q(z) = -201*z - 1338. Let j be q(-7). Let i = k - j. Which is the smallest value? (a) -4 (b) i (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 864 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 768267950 to the nearest integer?\nAnswer: 916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) -3\/7 (b) 0.07 (c) 0.06376 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**3 + 5*r**2 - 2*r + 1. Let f be c(4). Suppose -3*l - l - j = -11, l - j - f = 0. Let p(v) = v**3 - 3*v**2 - v - 5. Determine p(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6966 and 203.1.\nAnswer: 1414794.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*b*r**3 - 2*b*r**2 - 316*b - 10*r**3 wrt r?\nAnswer: -24*b - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -307*j**3*s + 5*j**2*s + 15*s + 73 wrt j.\nAnswer: -921*j**2*s + 10*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 AM and 10:59 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 54*t**3 + 10*t + 59*t**3 - 7*t - t + t**4 to y*t + n*t**3 + z*t**2 + h*t**4 + o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 99\/64 and -101\/128?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 83, 157, 257, 389, 559?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -5 (c) 5 (d) -1\/2 (e) 26\/101 (f) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4778 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30 or -34?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 6535 = 14255 + 42980. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1520000 rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400817 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 360298 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -8, 4, 5, 2, 0.01?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a decade?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 67*z + 3299. What is f(92)?\nAnswer: 999","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oazouuoffuf. What is prob of picking 1 o, 1 z, and 1 f?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 935868?\nAnswer: 10294548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*h*x**2 + 429*h*x - 1323*h - x**2 with respect to x.\nAnswer: 16*h*x + 429*h - 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-280)\/(-21) - 13)\/((-1)\/(-3)). Sort f, 33, -5.\nAnswer: -5, f, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 63.8 - 63.80000477. Round p to seven decimal places.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -615*t**4 + 103360*t**3 - 109370*t**2 - 2560*t + 9185 = 0. What is t?\nAnswer: -11\/41, 1\/3, 1, 167","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 324279\/98 + -3309. Calculate the common denominator of u and 11\/126.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, -36, -246, -540, -918?\nAnswer: -1380","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -298, -599, -900, -1201, -1502, -1803?\nAnswer: -2104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -0.5468109?\nAnswer: 1.6404327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 16 + 38 = 0. What is the lowest common multiple of 22 and g?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*h - 7561 = 275*w - 280*w, w + 11*h - 854 = -3*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.197113, 3, 6 in decreasing order.\nAnswer: 6, 3, 0.197113","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5163 a factor of 3419344395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.952395 centuries in millennia?\nAnswer: 0.9952395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) -1\/4 (c) 4 (d) 2774958\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xdrbxdrddnrrxdde. Give prob of picking 1 x and 1 e.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 2.24646?\nAnswer: -11.2323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 1492?\nAnswer: 4476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 92.9, 0.2, -6\/11, 0.5, 4, -3 in descending order.\nAnswer: 92.9, 4, 0.5, 0.2, -6\/11, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 70, 285, 644, 1147, 1794, 2585, 3520?\nAnswer: 4599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 1624*f - 261. Let c(b) = -25*b + 4. Calculate 261*c(j) + 4*p(j).\nAnswer: -29*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 8*u = -s + 2864, -2*u + 14446 = 5*s. Calculate the remainder when s is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:33 AM and 6:04 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.05 + 0.15. Which is greater: p or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22591, -45180, -67767, -90352, -112935?\n\"Answer: t**2 - 22592*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -32*g + 3453. Give o(104).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 3 (b) -5\/3 (c) -83\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12491581213 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from znsanznznnnonnazan. What is prob of sequence nn?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 196 + -204 + 3 + -3 + 7 + -15.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/8 (b) 3 (c) 0 (d) -0.25 (e) 1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 80?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 4*c = 40. Suppose -11*d = -20*d - 5805. Is 1 + -20*d\/c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 0)\/((-1)\/1). Let q(j) = -117*j + 1174. Let x be q(10). Solve -4*h = 4*m - y*m, -2*m - x*h = 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*v = 10, 0*x - 2*x + 5*v - 25 = 0. Suppose g + 5*z - 230 = x, 2*g - 3*g - 4*z + 228 = 0. Is 55 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(95)\/sqrt(80) - sqrt(19))**2.\nAnswer: -171\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**2. Let t(c) = -7*c**2 - 12*c**2 + 17*c**2. Give t(j(h)).\nAnswer: -8*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 3*h - 50. Let s = h + -14. Is (s\/(-8))\/((-2)\/(-356)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w = j + 4*w - 18, 15 = j - 2*w. Let s(q) = -q**3 + 8*q**2 + 5*q - 83. What is the remainder when j is divided by s(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 373.7 and -0.037.\nAnswer: -13.8269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 727, 1175, 1911, 2929, 4223, 5787, 7615, 9701?\n\"Answer: -a**3 + 150*a**2 + 5*a + 573","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w**4\/15 + 28*w**3\/15 - 38*w**2\/5 + 152*w\/15 - 64\/15 = 0 for w.\nAnswer: 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17506 by -17506.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1300460 is divided by 1294?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1bc64 (base 15) to base 7\nAnswer: 524656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 301199 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 38752*m**5 + 3*m**2 + 16635.\nAnswer: 2325120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4509 - 63229\/14. What is the common denominator of v and ((-201)\/8)\/(3\/(-2))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*a + 659 = -199. Suppose -k - a = 5*k. Suppose 3*g + 51 = -5*v, 2*g + 3*v + 39 = -2*v. Are g and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 - 17*b - 13. Let i(l) = l**2 + 8*l + 6. Let s(h) = -13*i(h) - 6*y(h). Calculate s(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in -1, -4, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, v: 3}. Give prob of picking 3 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4005075 is divided by 2569.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from llllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + f - 2. Let x = 11 - 15. Let y be 3*(0 + x\/6). Give s(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -1682*u**4 + 241533402*u**3 + 2432160862*u**2 + 166873638*u + 2872180 = 0.\nAnswer: -10, -1\/29, 143609","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 41736 divided by -444?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 11 - (4 + ((-27 - -11) + -1 - 41)).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 13*b. Let a(j) = -34*j - 19. Let l(c) = -56*c - 38. Let q(n) = 5*a(n) - 3*l(n). Determine q(f(p)).\nAnswer: -26*p + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:54 PM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 351 is divided by 206.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - 52, -47 + 2 + 0 = -5*m + 3*p + 2*p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000325994 rounded to 7 dps?\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126 = -2950*i + 2959*i. Solve 0 = -5*f - 3*w + 12, -9*w - 4 = -3*f - i*w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6666995 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/28 - 5296\/14. Suppose 3*m - m + 18 = 0. What is the common denominator of 951\/f + m\/21 and -64\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-28) + (-122)\/14. Let v = 19 + x. What is the smallest common multiple of 8 and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 5 = -5*m, -5*m - i = -6*i + 25. Suppose 3*u + 3*k + 9 = m, -2*u = -0*k + 3*k + 11. Suppose -5*y = -y. Put -5, u, y in ascending order.\nAnswer: -5, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 + -17. Suppose 0 = -3*c - 4 + 1. What is the units digit of (4\/u - c)*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8\/15 of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319, 308, 289, 262?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -2, 57, -13 in decreasing order.\nAnswer: 57, -2, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/314 and -61\/1256.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*q**2 + 88 - 88.\nAnswer: 67*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = 5*c - 13, 5*v + 1 = 3*c. Suppose 3*z + 12 = -n - 2*z, c*n + 3*z - 4 = 0. Which is greater: n or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -34.0325 + 34. Let n = -0.04 - o. What is n rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/3)*y*y*y*y)\/y*y**(-6))\/(y**7*y**8) assuming y is positive.\nAnswer: y**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 64*c**2. Let w be r(-1). Suppose t = 5*t - w. Suppose 5*q - 4*v = 44, 2*v - t = -2*v. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2057?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 175, 231, 325, 451, 603?\n\"Answer: -c**3 + 25*c**2 - 12*c + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 373 + -362. Is f less than 126\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 11 - 31. Suppose -27 = -f*p + 13. Calculate the smallest common multiple of p and 0\/2 + (12 - 1).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 227? (a) -2 (b) -4 (c) -335.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 486 + -480 + 29\/(203\/630).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - -3)*(2 - 1). Let w = b + 25. What are the prime factors of w?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1963\/(-65) - -30)*(-245 - 0). Solve -3*y = 3*h - 12, 4*h + u*y = 48*y + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1056, -1076, -1116, -1182, -1280, -1416, -1596?\n\"Answer: -j**3 - 4*j**2 - j - 1050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 72737640 = -2*t, 5*t + 0*n = 2*n + 181844100. Suppose -t = -3*d - 2*d. Let c = d - 4873764. Round c to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*438*(-79)\/474. Put o, -0.2, -5, 5 in descending order.\nAnswer: 5, -0.2, -5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2600, -10384, -23356, -41516, -64864, -93400?\nAnswer: -127124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17658875 to the power of 1\/3, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.855 - 2.65. Let i = 9.8 + -9. Let x = i + y. What is x rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 100 = -50. Let x be (n\/(-75))\/(29\/(-27) + 1). Suppose 3*p + 3*k + x = 0, 9*p - 15 = 4*p + k. Solve -p*i + 2 = 4*s, 0*i - 18 = -s + 3*i for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(2\/19))**18 assuming t is positive.\nAnswer: t**(378\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. What is the lowest common multiple of 4 and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68 by 537.\nAnswer: -68\/537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 3:10 PM?\nAnswer: 4:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (213\/213)\/(374\/88)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-3)\/(-27))\/(2\/(-6))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c5d0bc5 + -4?\nAnswer: c5d0bc1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 36519077 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17005*l**3 + 13400*l**3 - 25377*l**3.\nAnswer: 5028*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (12\/(-72)*6 + -12)*-1613?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k*k*k**33)\/k*k))\/k**(-2\/43))\/((k*(k\/(k\/((k\/(k\/(k\/(k**(2\/13)\/k))))\/k)))\/k)\/(k\/(k*((k*k**(-14)\/k)\/k)\/k*k))) assuming k is positive.\nAnswer: k**(-11068\/559)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 1 - 1)*(3 - 4 - 2)*(4 - 3 + 2 + (3 - 2 + 1)*(0 - 2 + 0) - 5 + 1 + 2).\nAnswer: 18*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (13 + 10) - (25 - 0) - 10\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**5 - 5*d**5 + 0*d**5 + (-1 - 2*d + 1)*(-d**4 + 7*d**4 - 5*d**4) + 3*d**2 + d**5 - 3*d**2 + d**5 - 4*d**5 + 4*d**5.\nAnswer: -3*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 f when four letters picked without replacement from zfffzffftzfzztttzff.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 1434?\nAnswer: 50190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56726206.\nAnswer: 2, 41, 811, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/54*11\/(88\/(-12)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3303060355 and -1931.\nAnswer: 3303058424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1*4)\/(0 + 2). Suppose 0*s = -c*s + 6. Solve 3*o = -0 - s for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.060342 + 0.06. What is g rounded to five dps?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.016 + -3.016. Let r = -2824 + 2824.1. Which is the nearest to r? (a) 0.1 (b) -1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 - 45. Suppose 23 = 3*m + n, -3*m - 4*n = n - l. What is the derivative of 33*d**4 - 20 - 8*d**4 - m*d**4 wrt d?\nAnswer: 76*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330730899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*1*sqrt(832)*6*-2.\nAnswer: -96*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 13 = 4*k + 14, 0 = -4*t + 3*k + 22. What is the derivative of -t + 39*j**3 - 17*j**3 - 17*j**3 wrt j?\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*k + 19. What are the prime factors of ((-36)\/(-3))\/k - -304?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 h when three letters picked without replacement from {h: 6, x: 7, i: 4}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -534097, -534095, -534093, -534091, -534089, -534087?\nAnswer: -534085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -42*((0 - -2) + -4). Let c(f) = f**2 - 6*f + 8. Let l be c(5). Suppose l*r = 183 + v. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 + 2854*v\/7 + 408.\nAnswer: -2*(v - 1428)*(v + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m - 3. Let x be f(-2). Let o = -8 + x. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 528*g = 1863 - 14535 for g.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 318670091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2 + 4 = -v, 3*v - 44 = -2*f. Calculate the common denominator of ((-4572)\/(-480))\/(v\/8) and -139\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.2 (c) -5\/2 (d) 22\/19 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 1:44 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 2*d**3\/9 - 8*d**2\/3 + 10*d - 12 = 0.\nAnswer: 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 261 - 100. Let i = 165 - p. Let g be 0 - ((-3)\/(-2) + -1). Which is the nearest to -1? (a) g (b) -0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000911 rounded to 5 decimal places?\nAnswer: -0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 57569*k - 28781*k + 26 - 28793*k. Let v(z) = 5*z. Calculate u(v(n)).\nAnswer: -25*n + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -8384 + 2794 + 2792 + 4*t**2 - 389*t + 2799 - t**2 as g + z*t + r*t**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 708, 713, 720, 729, 740, 753?\n\"Answer: s**2 + 2*s + 705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrryrlyrrrjrrj. What is prob of sequence jry?\nAnswer: 11\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 127\/2 > -4\/51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8)\/(-4)*(-11)\/(66\/(-492)) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 11:21 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m + 9. Let g be d(11). Which is the smallest value? (a) 0.2 (b) g (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46.809 + -1.839. Let s = -45 + g. Let a = s + 0.029865. What is a rounded to 5 dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*c**2 + 551004150*c + 157429756 = 0. Calculate c.\nAnswer: -39357439, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -402.048 - -401.994. Let i = -0.1 - 0. Let d = i - -0.2. Is d greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l + 31*l - 23*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 68 (b) 5\/4 (c) -69364\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17.01 + -0.01. Let p = -22.05 + 0.05. Let s = p + c. What is the nearest to 2 in s, -4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 70\/27 and 29\/1224?\nAnswer: 3672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1972?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 34139757 to the power of 1\/3, to the nearest integer?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76702380 by -6.\nAnswer: 12783730","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**3 + 191*y**2 - y - 65 - 386*y**2 + 191*y**2 to x + l*y + v*y**3 + h*y**2 and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 7785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7\/12 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*q = -15*q + 5 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-3*49\/(-294)*6\/(-9))\/(-9)\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2662 = -2*y + 2462, 4*i = y - 2568. Does 71 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(15)\/sqrt(3) - (2*sqrt(45))**2 - ((sqrt(5) - sqrt(50)\/sqrt(810))**2 - (sqrt(5) + sqrt(30)\/sqrt(6) + 0)).\nAnswer: -14576\/81 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89228783?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31787, -58, -0.17?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-1\/8)\/(q\/q**(-3)*q) assuming q is positive.\nAnswer: q**(-41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -925, -956, -987, -1018, -1049?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:11 AM and 1:13 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21691 + 21694. Find y such that -1\/2*y + 13\/4*y**2 - y**5 + 17\/4*y**4 + 0 - 6*y**d = 0.\nAnswer: 0, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/8 and -32\/84697.\nAnswer: 677576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-seven quarters of a week?\nAnswer: 68040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 796421437?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - ((17 + -6 - 28) + -2 + -7).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**5\/3 + 26*k**4 + 342*k**3 + 4850*k**2\/3 + 1300*k = 0. What is k?\nAnswer: -15, -13, -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -61482, -61483, -61484, -61485, -61486?\nAnswer: -61487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.7 - -1. Let v = w - 0.5. Let o = v + 0.2. Is 0 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. Suppose -4*p - 2*s + s = -39, -6 = -2*p + 4*s. Solve v - p = 2*h - b, h - 5*b = -9 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -425\/7, -2, 0.3, -2\/11, 2\/9, -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - 7 - 71 = 0. Solve 0*y = -y + 3*r - 7, 2*y + i = 5*r for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 11. Let g(c) = c**3 + c**2 - c - 5. Let s be g(0). Is (-2)\/l + (-117)\/s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2346 and 7314.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -461*t + 32159*t + 3*t**3 + 15*t**3.\nAnswer: 18*t**3 + 31698*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of -4*h**2 - 8 - 3*h + h + 2*h. Let t(i) = -2*i**2. Determine t(g(l)).\nAnswer: -128*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9.277 - 8.68. What is g rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 12514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*o**3 + 3*o**2 - 42*o**3 - 3*o**2 - 7*o**3 + 1189*o.\nAnswer: -74*o**3 + 1189*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -21, -39, -61?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1508 and -328.6066?\nAnswer: 1836.6066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 229 and 53357?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 22\/7 (b) -8 (c) 0.2 (d) -2\/3 (e) -47\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*c + 13*c - 480 = 0. Calculate the remainder when 176 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21096, -82952, -186046, -330378, -515948, -742756?\nAnswer: -1010802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 6 - 1 = 0. Suppose -r = l + 4, 2*i + 4*r - 2 = 0. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8286 is divided by 761?\nAnswer: 676","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 7*i - 83 = -33, 0 = 2*l - i + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -5*s**4 + 145*s**3 + 430*s**2 - 9120*s + 21600 = 0.\nAnswer: -9, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**3 + x**2 - 9*x - 5. Let o(j) = -j**2 - 5*j + 3. Let s be o(-6). Let r be f(s). Is 6 <= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from fxfffnffffuyfff?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + (12 - (-3 + 4 + 3 + 7)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-1 + (4 + -1 - 0)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.94 + -2.94. Let c = -6.7 + 7. Let q be -6 + 9 + (-10)\/2. What is the third biggest value in 6, c, q, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 175324377?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 388840?\nAnswer: 2, 5, 9721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2014 - 996 - 1018 - 8*m.\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 + 62.3. What is the third smallest value in r, -0.4, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*y**2 - 84*y wrt y?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1*5)\/((-290)\/(-116)). Solve 0 = -4*i + 2*n - m, -i - 3*n = -6*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 + 3615*v - 103950.\nAnswer: -5*(v - 693)*(v - 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 196 and 168?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 6*d**3 + 3*d**2 + 8*d + 3. Calculate j(-2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 5*i - 105 = 0, -1788*i + 36 = o - 1784*i for o.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3658, 3640, 3596, 3514, 3382, 3188, 2920?\n\"Answer: -2*n**3 - n**2 - n + 3662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -6 - (-2 - 1). What is the units digit of -1 - (-1 + -9 + x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.22 - -29.22. Let r = k + -29.3. Which is the closest to 0.3? (a) r (b) -1 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - 10896\/(-18) - -3*60\/(-135). Suppose h = -h + 12. Calculate the greatest common divisor of h and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 377336773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v. Let x(u) = 315*u - 610*u + 290*u - 71. What is y(x(d))?\nAnswer: -10*d - 142","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -76 divided by 19\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 68 + -203\/3. Which is bigger: 8 or x?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m + 7. Let w be j(-5). Suppose -2*v = 5*u - 62, 2*v + 44 = 4*u - w*v. Is (-1514)\/(-22) + u\/66 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 23\/7 - (-2)\/(-7). Is 232\/c - (-3)\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3197107, -6394226, -9591345, -12788464, -15985583?\n\"Answer: -3197119*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -293 - -1245. Does 28 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -17 - 426*j + 9 + 211*j + 213*j + 10. Let u(p) = -p**2 - 5*p + 4. Let n = -2 - 1. Calculate n*u(z) + 7*w(z).\nAnswer: 3*z**2 + z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**4 + 387*a**3 - 16*a**2 + 15?\nAnswer: -48*a + 2322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-3)*12\/4. Suppose -w*y + 129 = -h, -4*h - 4*y - 34 = 462. Round h to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 + (-15 + 3 - 3) - -127 and 285.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2322?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22784\/68343 - -1\/22781. Let v = 4.1 - 0.1. What is the smallest value in v, 5, p, 1\/10?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/112 and -173\/84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6399 = -3*y + 3*o, 8*o - 4266 = -2*y + 5*o. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4321917\/112 - 38589. What is the common denominator of d and -99\/256?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3165397 is divided by 1330?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 894, 7409, 25156, 59751, 116810?\n\"Answer: 936*u**3 - 37*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 347402 + -347536. Let s = 2 + -7. Which is the second biggest value? (a) o (b) -4\/3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1078323 to 4 dps.\nAnswer: 0.1078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 320327 divided by -7\nAnswer: -45761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 5285.\nAnswer: -2\/5285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 2 (c) 90 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51*c**2 + 51*c**2 + 23760*c**3.\nAnswer: 23760*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g - g)*(2*g + 4*g - 4*g) + (363 + 150 + 79)*(2*g**2 - g**2 + 3*g**2).\nAnswer: 2364*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**2 - 4*k**6 + 707*k**3 - 707*k**3 wrt k?\nAnswer: -480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 904\/5 - 180. Find q, given that -2\/5 - i*q - 2\/5*q**2 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**(32\/5)*y)\/y**(-11))\/(y**(-6\/5)*y\/((y*(y**(-3\/8)\/y)\/y)\/y)))**15 assuming y is positive.\nAnswer: y**(2067\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 50 - 252\/5. Let f = -0.2 + 1.2. Which is the nearest to x? (a) -0.2 (b) f (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i - 4. Let z(h) = -6*h + 3. Give -3*l(k) - 2*z(k).\nAnswer: -6*k + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2*a = 29 - 7, 5*c + 5*a + 5 = 0. Let k = 18 + c. Suppose 5*i - 6 - k = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -46\/71953, -4, 2.6?\nAnswer: -46\/71953","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 + -6 + 2 + -2. Suppose -d - 5 = -3*g. Solve s = 2 + g for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8225.1*-0.1.\nAnswer: -822.51","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m + 9. Let p be z(-8). Let k be p\/8 + 8\/4. Let f = -0.5 - -0.3. Which is the third smallest value? (a) k (b) f (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -13. Let w(o) = -7*o + x*o**2 + 2*o + 5*o. Let v(l) = 3*l - 3*l - l. What is w(v(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 89460 and 82530?\nAnswer: 11719260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y**2\/9 - 2*y\/3 - 832\/9 = 0. Calculate y.\nAnswer: -26, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(5\/2 - 1). Suppose 4*l = 5*l. Solve -2*y - 3*h - 19 = -0*y, 4*h + g = l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 + 106*n + 556. Determine r(111).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 154431782537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 6*r**2 - 7*r. Let q be g(2). Suppose -q*t - 24 = -12*t. Suppose 0 = -11*z + t*z - 4. Solve 0 = z*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 2520.\nAnswer: 27720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11110221221 (base 3) to base 7\nAnswer: 515041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9*k**2 - 2640*k**3 + 11*k**2 - 5289*k**3.\nAnswer: -7929*k**3 + 2*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 + 3)*((0 - 2 + 1)*(-2*j + 2*j - j) - 11*j - 23 + 23)*(-2 + 3 + 0).\nAnswer: 60*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3*p**2 + 71039753*f**3*p - 2*f**2*p**2 - 3*f**2 + 332*f*p**2 + 29*f*p + f + 10 wrt f?\nAnswer: 12*p**2 + 426238518*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 36*y**2 - y + 3. Is l(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 112\/(-80) + 7\/5. Suppose 0 = k - 5 + 3, b = -5*y - 2*k + 4. Are -1\/284 and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134906 (base 10) in base 14?\nAnswer: 37242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 622396\/89978165 + 2\/104021. Let u be (-2)\/(-9) - (-238826)\/62280. Let m = t - u. Calculate the common denominator of m and 23\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -400359, -800717, -1201075, -1601433, -2001791, -2402149?\n\"Answer: -400358*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55 - 65)*(-45)\/(-6)*(-1)\/(-3).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.51522357 to 2 dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (446\/2676)\/(1\/4*2\/(-2)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42 + -1 - (-17 + 8 + 6).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15965 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 13*o + 15. Calculate a(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1024 and 1944.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 297 and 2746971.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.2 + 1.2. Let x = -5 + l. Let f = x - -11.8. Is 4 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0058*-6.\nAnswer: 0.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19\/3)\/((-3*(-40)\/(-1800))\/((-4)\/(-20))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.6 - -2.6. Suppose 13 = -4*c + 1. What is the nearest to -1\/3 in c, a, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66897547511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -4 + 4*c - 3 + 1. Suppose -6*w = -2*w - 16. Let y be m(w). Solve 4*k - 4*x - y = -2, 2*k - 12 = -2*x for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -157, -616, -1367, -2404, -3721, -5312?\n\"Answer: q**3 - 152*q**2 - 10*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -70 + 55 + (6 - 2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 + 9*w - 3. Let n(r) = -2*r**2 + 18*r - 7. Let p(k) = -3*n(k) + 7*y(k). Let l be p(5). Solve 6*x - l = x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -958*t**2 - 434 + 956*t**2 + 230 + 204.\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**2 + 7*m + 5. Let b = 0 - -8. Let u be f(b). Let n be 0 + -1 + 1 - u. Solve 0 = -5*d + n*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of m**3*v**2*z**2 + m**3*z**2 - m**2*v**2 + 7*m*v**2*z**2 - 6*m*z + 2*v**2*z**2 wrt m?\nAnswer: 6*v**2*z**2 + 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4071 + 4094.988. Let i = g - -0.012. Let z = 24.2 - i. What is the second smallest value in 0.02, 2\/13, z?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/40 + 2518\/(-8). Let u = -275 - x. What is the lowest common multiple of u and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42925, -171735, -386423, -686995, -1073457?\nAnswer: -1545815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2520, 2519, 2520, 2523?\n\"Answer: o**2 - 4*o + 2523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 5) to base 16\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**(2\/3)*o**(-4\/7))\/(o*o**(-3))**33 assuming o is positive.\nAnswer: o**(1430\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 o when three letters picked without replacement from {q: 5, w: 2, l: 1, a: 5, b: 1, o: 5}?\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kwiiwwiikwwyiik. What is prob of picking 1 y and 2 w?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 259?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 128 + -126. Let a be 5\/1 - (4 + -4). Let w(n) = 0*n + a*n - 2*n. Let b(f) = -7*f - 1. Give i*b(t) + 5*w(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1835 - 748. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2057242881 by -3.\nAnswer: 685747627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d - 1. Let h(a) = -a**3 + 4*a**2 - 2*a + 2. Let l be h(3). Calculate t(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -14. Let t(h) = h**2 - q + 9*h**2 + 5*h + 5*h**2 + h**3 - 8*h**2. What is t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*c = 224*c - 81 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58)\/(-290) + 36\/220?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -2*s + 1\/4*s**4 - 3*s**2 + 4\/3*s**3 - 16. What is v(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1 + 2*n**2 + 0*n**2 - 3*n**2 - 5*n. Calculate y(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 4:20 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/3*4*9. Let r be ((-195)\/u)\/((-2)\/(-16)). Suppose -4*k - k + r = 0. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 4*w + 3602 + 4273 = 0, -2*w + 7885 = 5*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 5*q - 11796 = -11768, w + 4*q = 17 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k - 8. Let m be p(8). Suppose -5*s - 5*u + 75 = m, 2*u - 55 - 11 = -4*s. Calculate the greatest common divisor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -11*n**2 + 7. Let r(y) = 7*y**2. Calculate r(f(b)).\nAnswer: 847*b**4 - 1078*b**2 + 343","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**5\/6 + 5*a**3 + 19*a**2. Differentiate o(g) wrt g.\nAnswer: -20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5 + 6*(-4 + sqrt(700)*-3 - (-5 + sqrt(700) + 1)))**2.\nAnswer: 960*sqrt(7) + 403204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 172.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 - 12 = 0. Suppose 0 = -5*z + 13 + b. Suppose -2*o = 5*n - 74, -o - 82 = -z*o - n. Does 21 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k + 3*k - k**2 - 43*k - 10*k**2 + 43*k + (3 - 3 - 1)*(-k + k - 2*k**2) - k**2 + 0*k + 0*k + 4*k**2 - k**2 - 2*k**2.\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 350b7 + a?\nAnswer: 35105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004578676 rounded to 6 decimal places?\nAnswer: -0.000458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -1. Let v(u) = 26*u**2 + 2*u - 1. Is 18 a factor of v(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5738 + 5748 + 5730 - 28709 - 4*h**2 + 5747 + 5746.\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4277154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*n - 39*n = -586. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42477151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 9) to base 11\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2083709, 2083691, 2083671, 2083649, 2083625, 2083599, 2083571?\nAnswer: 2083541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*15176616.\nAnswer: 6070646.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 9*a**2 - 4*a - 2. Let q(t) = t**3 - 4*t**2 + 2*t + 1. What is 3*g(l) + 7*q(l)?\nAnswer: 4*l**3 - l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*p - 16*p + 852 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -1202.\nAnswer: -3\/601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(((o\/(o**(-7)\/o)*o)\/o)\/o))\/o)\/o*o*o**(-1\/4)*o*o\/(o\/o**0)*o*o**(-1\/11)\/o assuming o is positive.\nAnswer: o**(-323\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c + 44*c = 30 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-680)\/204 - (-164)\/(-12).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 5*y + 46, 3*s - 87 = 2*y + y. Let r be (-2)\/11 - 753\/s. Let w = 53 + r. Solve x + 5 = -3*i + 3*x, 2*i + 4*x + w = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 + 16*w**2 - 983*w + 6*w**2 - 30*w**2.\nAnswer: -2*w**2 - 983*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3680\/138)\/((1024\/(-3072))\/((-3)\/(90\/4)))\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -4*x**3 + 2*x**3 + 2 - 2*x**3 - 6*x. Let p(j) = 11*j**3 + 17*j - 6. Calculate 17*k(s) + 6*p(s).\nAnswer: -2*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8640 + 8635. Let y(k) = 2*k + 12. Determine y(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 704 a factor of 79845568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + sqrt(605) + (sqrt(605) + sqrt(605) + -1 - sqrt(605)))*-1 - (sqrt(605) + -1 + sqrt(605) + -4 + 0))**2.\nAnswer: -88*sqrt(5) + 9681","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3*d = -3*f + 17, f + 6 = d. Let u(q) = 398*q**2 - 9*q - 10. What are the prime factors of u(f)?\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - 4)*0\/(-6). Suppose -671 = -4*c - 71. Suppose -7*r + 2*r + c = y. Calculate the greatest common divisor of 10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.742 to one dp.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19740 + -13996. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 738 and 882?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 857.493 millilitres in litres?\nAnswer: 0.857493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20794022 by 4.\nAnswer: -10397011\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00614540818 to 4 dps.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*l**3 + 9838053 - 19676100 + 9838000.\nAnswer: -10*l**3 - 47","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 10:32 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c + 5. Let h be j(-3). Suppose 403 = 12*y + 403. Solve 4*b - b + 3 = y, 6 = h*q + 2*b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13630504 divided by 2.\nAnswer: -6815252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6121917.\nAnswer: 3, 680213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 99?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 - 5*f**2 - 4*f + 3. Let b be p(-5). Let l(t) = 2*t**2 - t + 5. Let w be l(4). Let r = w - b. Does 10 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -623 + 630 - (50 - 0).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15464 divided by 19518.\nAnswer: 7732\/9759","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 + 8*w**2 + w + 12. Let g = -64 - -56. Let c be q(g). Solve c*m - 3*r = r - 4, 2*m - 4*r = 4 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4646 divided by 101\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8413211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/180 and 113\/18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1854860433 to the power of 1\/2, to the nearest integer?\nAnswer: 43068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l - 3*h + 19, -3*h + 11 = l. Let a = -2 + 0. What is the tens digit of (-2)\/(a - l)*-24?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 6*j. Let w be t(1). Suppose -4 = 4*i - w*i. Let y(r) = -r**2 + 2*r. Let o be y(1). Is o <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + (sqrt(272) - 6*sqrt(272)*-1) + (-1 + sqrt(272))*-1 + sqrt(272))**2.\nAnswer: 64*sqrt(17) + 17409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 37*q**2 - 357*q - 1031. Determine l(12).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 3226240 to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5080648 + 118352. Round c to the nearest 100000.\nAnswer: 5200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + 49. What is the units digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0*a = 2*a + 14, 4*a + 30 = 5*r. What are the prime factors of r\/6 + 25\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.84 - -2.34. Put 0.3, v, 1\/2, 0 in descending order.\nAnswer: 1\/2, 0.3, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5\/5 - 17612*s**4\/5 + 441456*s**3\/5 - 830068*s**2\/5 + 406226*s\/5 = 0.\nAnswer: -8831, 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5964 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/((a**4*a)\/a)*a**(-1\/4) assuming a is positive.\nAnswer: a**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j. Suppose 4*a + 0*l - 20 = -3*l, -3*a + 3*l = 6. Let w(h) = h**2 + 16*h**a - 12*h**2. Give n(w(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/37 (b) 2\/163 (c) 0.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 4 - (-5 + -2). Let n = s - -67. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11*b**3 + 4*b**2 + b + 6. List the prime factors of n(-3).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 2*n = -2, 3*v - 4*n - 7 + 21 = 0. Let w = 13 + -8. Let s(c) = -c**3 + 4*c**2 + 6*c - 2. Let f be s(w). Solve -t + v*t = -f for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7653496501.4 - -0.53.\nAnswer: 7653496501.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of 0*b - 174 + 0*b**2 + 183\/4*b**4 + 89\/3*b**3. What is the third derivative of k(l) wrt l?\nAnswer: 1098","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/(d\/((d*d*d\/(d\/d**20)*d*d)\/d)*d)*d*d*d)\/d**(-3\/23)*d*d*d**30*d*d*d\/(d\/(d**(-9\/8)\/d)*d)*d assuming d is positive.\nAnswer: d**(10857\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 140072390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330*y + 549 + 81 = -120*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 22*y**5 - 26*y**4 - 40*y**3 + 8*y**2 = 0. What is y?\nAnswer: -1, 0, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46883 + 52380. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:05 AM and 7:51 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3157 and 39362323?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53864364 by -146.\nAnswer: -368934","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73351, -75554, -77757?\nAnswer: -79960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/12 and 51\/508?\nAnswer: 1524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -775891?\nAnswer: -4\/775891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -37411 (base 9) to base 4\nAnswer: -12020200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60318, 241276, 542872, 965106, 1507978, 2171488?\nAnswer: 2955636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -37 in -1\/5, -3\/5, -3\/119?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o = 18*o - 33. Calculate the remainder when 130 is divided by o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -79714 >= -79705?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 6. Suppose 0 = v*r - 6*r + 3*y - 340, -r + 85 = 4*y. Suppose -14*h = -r + 23. Solve h*j = -0*d + 4*d, 0 = -d + 5*j + 17 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - 2*a - 2. Let c(d) = -2*d**3 + 5*d + 5. Let o(n) = -5*b(n) - 2*c(n). Let z(g) = -6*g**3 + g. Let m(i) = -5*o(i) + z(i). Factor m(t).\nAnswer: -t*(t - 1)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:54 AM and 3:17 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217204612 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 5*z. Suppose 8 = 10*r - 9*r. Let j(g) = -11*g**2. Let n(y) = 7*y**2. Let x(h) = r*n(h) + 5*j(h). What is x(m(d))?\nAnswer: 25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -9*p - 24. List the prime factors of (208\/(-6) + 1)\/(p\/9).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-8)*8\/6. Let z be g - ((-95222)\/(-28) - 3). Let a = z - -3398. What is the common denominator of a and -13\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9817.92 years to months.\nAnswer: 117815.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 - 32*y + 79. Let h(q) = q + 1. Let p(w) = 5*h(w) + u(w). What is the units digit of p(24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g**4\/2 + 29*g**3\/2 + 582*g**2 - 130*g = 0. Calculate g.\nAnswer: -10, 0, 2\/9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5432470 divided by 2\nAnswer: 2716235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1134 + 1125 - 32*u + 5201 - 42*u + 75*u.\nAnswer: u + 7460","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 24 = 16*n. Let g(x) = 9*x**3 + 2*x**2 - 5*x - 5. What is the hundreds digit of g(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 1750.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 15, w: 5}.\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 53\/(2120\/16) - (-34)\/(-60). What is the fourth smallest value in 4\/3, 22, h, -0.5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 517095 or 517094?\nAnswer: 517095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000079092 rounded to 6 decimal places?\nAnswer: -0.000079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -112308, -112152, -111898, -111552, -111120, -110608, -110022?\n\"Answer: -a**3 + 55*a**2 - 2*a - 112360","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2074.2585368956 - 0.1?\nAnswer: -2074.3585368956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 10. Solve s = z + m, 0 = 2*z - 0*z - 3*m - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/35 + (1716\/(-10) - -2). Let r be 0 - c\/2 - (2 + 0). Suppose -3*a - 40 = -2*j - 8*a, 4*a = -5*j + r. Which is smaller: 14 or j?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9.100608 - 9.1. What is p rounded to 4 decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1323555 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 270 and 38790.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 11*o**2 - 8*o + 58. Let y(q) = -16*q**2 + 11*q - 87. Determine -7*p(g) - 5*y(g).\nAnswer: 3*g**2 + g + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 9) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15.664661 rounded to zero decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 11664723121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*r + 79*r - 580 = 0. Calculate the remainder when r is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 419474?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1790.083cm?\nAnswer: 17900.83","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-7)\/r**(1\/16))\/(r\/(r*r**10*r*r)*r**2*r) assuming r is positive.\nAnswer: r**(31\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 7606*t**3 - 7608*t**3 - 4*t - 226 - 2*t**4 - 9 as z*t**3 + c*t**4 + y + k*t**2 + s*t and give y.\nAnswer: -235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 1060.\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -42324*t**2. Let b(i) = 441*i. Give b(j(c)).\nAnswer: -18664884*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 - -77324261\nAnswer: 77324267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*g**2*m**4 - 46*g**2 + 99*g - 4*m**4 + 5*m**2 wrt m?\nAnswer: 80*g**2*m**3 - 16*m**3 + 10*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2444, 2440, 2436, 2432, 2428?\n\"Answer: -4*i + 2448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 107439+0.252\nAnswer: 107439.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 99642581\/768 - 129743. What is the common denominator of 83\/36 and u?\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1406\/111)\/(2\/681). Suppose w = 23*f - 14018. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -6*l**3 + l**2 + l. Let d be y(-1). Let v(w) = w**3 - 6*w**2 - w + 6. Let c be v(d). Which is smaller: 0.06 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -3*a, -5*u + 2159*a + 49 = 2135*a for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z - 1. Let p(l) = 30*l - 6. Determine -p(d) + 6*u(d).\nAnswer: -24*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 61, 6, 2, -2\/11 in descending order.\nAnswer: 61, 6, 2, -2\/11, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 + t**3 - 4*t**4 - 2*t**4 - 4*t**3.\nAnswer: -3*t**3*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + u + 4 = 0. Suppose 5*a - 3*r = -u*r + 20, 0 = -3*r. Suppose 6 + 2 = a*l. What is the smallest common multiple of l and 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 2052\nAnswer: -1\/684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f + f + f**5 + (-f - 4 + 4)*(2*f**4 - 2*f**4 - 2*f**4) - 6*f**5 + 3*f**5 + 2*f**5 + (-f**2 - f**2 + f**2)*(3*f**3 + 4*f**3 + 2*f**3).\nAnswer: -7*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 130 + -70. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13960 - -16.15\nAnswer: 13976.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84541?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times -137848?\nAnswer: -413544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25655 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10 or -30?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != -1\/2500849?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a - 5. Let k = -10 - -11. Let i be y(k). Suppose -t - 16 = -i*t + 3*p, p + 14 = 5*t. Solve t = 4*f - 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the third derivative of -z**4\/24 + 2*z**2. Let r(c) = -95*c + 500. Let l(a) = -11*a + 60. Let p(t) = -25*l(t) + 3*r(t). What is -36*i(d) + 4*p(d)?\nAnswer: -4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57721 + 57721 + 8*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057)*1*2 + 2 + -2*sqrt(2057))*-2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-5*(sqrt(48) + -1 + 0))**2.\nAnswer: -600*sqrt(3) + 3675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6235 - -6246. Let m(q) = 17*q + 10. Let s(i) = 6*i + 3. Determine g*s(v) - 4*m(v).\nAnswer: -2*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 0.1047851.\nAnswer: -0.5239255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22071345 by -5.\nAnswer: -4414269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -134*w. Let y(c) = -18*c**2. Determine y(x(d)).\nAnswer: -323208*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 16 - 14. Suppose -2*p = 4*c - 94, -2*c - p + 53 = k*p. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 - 4*j + 4*j + (0*j**4 + 3*j**4 - j**4)*(0*j - 4*j + 6*j) + 197*j**5 - 678*j**5 + 5436*j**5.\nAnswer: 4958*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*s + 28, 5*k - 3*k + 4*s - 72 = 0. Let o(d) = -k*d - 44*d + 87*d. Let f(y) = 8*y**2. What is o(f(x))?\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/h**(-9)))**(-9\/7) assuming h is positive.\nAnswer: h**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-117*o + 510 - 510)*(-3 + 0 + 2)*(11 + 224*o - 223*o + 4) as h*o + j*o**2 + u and give h.\nAnswer: 1755","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-13)\/d**(-8))**(1\/50))**(-16))**(-4\/9) assuming d is positive.\nAnswer: d**(-32\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 2*b**2 - b + 38. Let g be z(0). Let u = g - 27. Let i = u - 11. Solve 0 = 4*n - i*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z + 97*z = -41*z + 2451 for z.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h - 1. Suppose 5*s = 3*p - 8, -2*s - 3216 = -2*p - 3212. Let u(g) = 13*g. Give s*u(w) - 3*r(w).\nAnswer: -10*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 5*a**2. Let i(s) = 3*s - 232. Determine d(i(b)).\nAnswer: 45*b**2 - 6960*b + 269120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*v + 3*v + 4*v)*(0 + 2*v - 3 - 4*v) to t*v + o*v**2 + c and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -51 - -51. Suppose 2*g - x - x = -14, 2*x = d. Let c(y) = -4*y - 16. Let j be c(g). Solve j = h - 6*h + 4*r, -18 = 4*h + r for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jddd when four letters picked without replacement from {j: 2, d: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8039048 is divided by 114?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.24049 + 0.24. What is j rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/448*-8)\/((-9)\/84)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/12)\/(6*(-3)\/144)*-3?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -7 - 1. Is (2453\/(-44))\/(f\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + afd895?\nAnswer: afd890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a - 2*a - 4*a)*(3*a**2 + 0*a**2 - 4*a**2 + (a**2 - 2*a + 2*a)*(3 - 2 + 1) + 4*a**2 - 5*a**2 + 6*a**2 - 21*a**2 - 44*a**2 + 11*a**2).\nAnswer: 96*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 189 = -3*o. Let i = 89 - o. Let r = i - 17. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4 - 34*c**3\/5 - 16*c**2\/5 + 24*c\/5.\nAnswer: -2*c*(c + 2)**2*(5*c - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19 - 76\/5. Let y = 289 + -286. What is the common denominator of ((-1360)\/(-15))\/(-4) + (y - 5) and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 6, 3, 4, 2274 in increasing order.\nAnswer: -8, 3, 4, 6, 2274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*q = 126*q - 1540 for q.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4\/4 + 1767*m**3\/2 + 3543*m**2 + 3546*m.\nAnswer: -3*m*(m - 1182)*(m + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1104\/(-5) - (8 - (15 - 9)). Which is bigger: y or -222?\nAnswer: -222","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/4 (b) 7\/2 (c) 0.5 (d) -3 (e) 31 (f) -74 (g) 4.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 90?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -248, -486, -726, -968?\nAnswer: -1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(sqrt(567) + 1) - (sqrt(2240) - (-2*sqrt(2240) + sqrt(2240) - sqrt(2240)))\/(sqrt(720) + 2*sqrt(720) + sqrt(5)).\nAnswer: -690*sqrt(7)\/37 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 339 divide 9852728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2269*a - 12215*a - 183*a.\nAnswer: -10129*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -3)*4\/(-8). Solve -m*s = -0*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c + 1. Let l(k) = 22*k - 6. Let p(j) = -l(j) - 5*u(j). Is p(-1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 381. Let b(t) = -7*t**2. What is b(p(q))?\nAnswer: -28*q**2 + 10668*q - 1016127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(0 - 20\/(-12)). Suppose v + 128 = 4*s - 0*v, -4*v = y*s - 160. Let o = s + -17. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + 2*a. Let b = a - 6. Let q be 12\/b*1\/2. Put 0, q, 29 in descending order.\nAnswer: 29, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(288) + -2 + -1 + (sqrt(288) - 3*(sqrt(288)*-3 + sqrt(288))**2) + -5 + (1 + sqrt(288) + -2 - sqrt(288)) + -2.\nAnswer: -3467 + 24*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 99\/2 + -699\/14. Which is the nearest to -1? (a) l (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*h = 219*h. Solve -2*v - 5*s + 9 = 0, -2*s = v - h*s - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.24 in -1\/4, 3, -2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(13) + sqrt(13)*-4 - (1*sqrt(156) + sqrt(156) + sqrt(156))\/sqrt(12))**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**3 - 10*t**4 - 515 + 1031 - 513 - 2*t**2 wrt t?\nAnswer: -240*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27647671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/72*(-7)\/(35\/(-2)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 7*k**2 - 2*k. Let m(d) = -29*d**2. What is q(m(w))?\nAnswer: 5887*w**4 + 58*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11b4 (base 12) to base 16.\nAnswer: -7d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 97 + -91. What is the derivative of -15*a**4 - 9 + 1 - o + 6 wrt a?\nAnswer: -60*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1148, 4509, 10142, 18071, 28320, 40913, 55874, 73227?\n\"Answer: 4*x**3 + 1112*x**2 - 3*x + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6649, -13293, -19937, -26581, -33225?\n\"Answer: -6644*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3072.23 + 3122. Let z = -53 + u. What is z rounded to one dp?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**2 - 35*v.\nAnswer: -5*v*(v + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 12398.6\nAnswer: -3719.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2 - 1. Let z(i) = 160*i**2 - 155*i**2 - 1 - 2*i + 2*i. Suppose -11*k - 6 = -12*k. What is k*z(p) - 7*h(p)?\nAnswer: -5*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*v - 510*v = 672 for v.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**2 + 299184*z.\nAnswer: 3*z*(z + 99728)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**2 + 3*n**2 + 15*n**2 - 65*n to f*n**2 + m*n + k and give f.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -27 + 31. Solve b = 5*b + c for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 16 = s, 3*s - 2*c = 22 + 21. Let v be 8\/20*(234 - -1). Let k = v - s. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310*-0.482.\nAnswer: 149.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) -5 (c) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*o = -m - 94*o + 2, 5*o = -5. Let i(z) = 2*z + 1. Let b be i(1). Solve b*k + 4 - m = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 465 + 286. Calculate the remainder when w is divided by 90.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, o: 1, q: 1, x: 3, e: 1}. Give prob of picking 1 x and 1 q.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*l + 258 + 101 = 70 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31 and 6541?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1518, -2724, -3930, -5136, -6342, -7548?\nAnswer: -8754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2649621 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 r = -83 - -80. Let w = 41.5 + -42. Which is the third biggest value? (a) -4 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 18.9 in -1\/24, 4\/5, 2, 0, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*c = -4, -4*c + 27 - 11 = 0. Solve -9*p - 12 = -d*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20450 divided by 22?\nAnswer: 10225\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -19*u + 13. Suppose -d + 32 = 3*d. Let y be q(d). Let o = -53 - y. List the prime factors of o.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 129?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 139\/8 + (-12)\/32 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r - 71. Let l be u(19). Solve 2*f + 2 = 4*f - z, 21 = -l*f - 4*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -19*k**3 - 2*k. Let i(p) = 893*p**3 + 95*p. Suppose 2 = -2*b, -35*v - 2*b + 378 = -39*v. What is v*u(n) - 2*i(n)?\nAnswer: 19*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 598233, 2392755, 5383559, 9570645?\nAnswer: 14954013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7195 + 7184. Sort -1, -5, 3, 2, r in decreasing order.\nAnswer: 3, 2, -1, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 332*r - 30*r - 129*r + 813*r to the form x*r + y and give x.\nAnswer: 986","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 251 + (1 + 5)\/(18\/12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**3 + 57*j**2\/5 - 48*j\/5 + 103. Suppose q(w) = 0. Calculate w.\nAnswer: -8, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -76 - -348. Suppose -k = -7*d + 5*d. Calculate the greatest common factor of 17 and d.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 3*k**2 + 4*k. Give g(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 12:34 PM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g + g - g)*(3*g + 0*g - 4*g) + 3*g**2 - 2*g**2 + 0*g**2 + 132*g + 223*g**2 - 86*g**2 - 62*g - 70*g to y*g**2 + m*g + j and give y.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (28\/(-3))\/(-2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3486*k + 2192*k + 130694 = 0 for k.\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12766009037 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 211 is divided by 108?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**4\/4 + 4*i**3\/3 - i**2 - 6*i - 1819. Suppose 4*f = -0 + 20. Let q be g(f). Are q and -42 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 583666\nAnswer: -5252994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 420 = 2*x + 7*t, -4*t = -20. Does 18 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -3*d**4 + 28536*d**3 - 6759981*d**2 + 26697588*d - 26583492 = 0.\nAnswer: 2, 239, 9269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 7 = -3*f. Suppose f*l + 0*c = 3*c - 1, -2*c = 5*l - 9. Is 4 less than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g - 77. Let n be j(-8). Suppose 18*v - n*v = 3*v. Sort 0.1, v, -8.\nAnswer: -8, v, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**2 + 3*l + 5. Let v(w) = -4 + 3 - 3*w - 2*w. Let q be v(1). Is u(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**4\/4 + 77*b + 1. Let p(w) = 2*w + 129. What is p(s(f))?\nAnswer: 6*f**2 + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the third derivative of -551*f**5\/20 + f**4\/24 - 499*f**3\/2 + 2572*f**2. Find the second derivative of r(n) wrt n.\nAnswer: -3306","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (90\/14 - 6)\/(3\/35). What is the smallest value in -4, 28, 0.05, y, 2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 18 = 42. Let q(h) = -3*h**4 - 6*h**3 - 6*h**2 + 4. Let x(k) = -k**3 - k**2 + 1. Let v(o) = r*x(o) + q(o). What is the derivative of v(t) wrt t?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17148737899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 105 + 32. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 503 + -509. Suppose 2*t + 8 = 0, -4*t = -5*w - 20 + 101. Let q(x) = 4*x**2 - 5*x - 5. Let o(r) = 9*r**2 - 11*r - 11. Give b*o(g) + w*q(g).\nAnswer: -2*g**2 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2 (b) -2 (c) -5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316165 is divided by 143?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -7*j + 3*j + 4*b, b - 90 = -5*j. Let w = j - 8. Let p = w + -8. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11170)\/60318)\/(10\/(-18))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7022b (base 12) in base 5?\nAnswer: 14123400","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 6*b**2 + 21*b - 74. List the prime factors of a(5).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((i - i**2 - i)*(9*i + i - 3*i) + (2 + 0 + 0)*(i**3 - i**3 - i**3))*(0 - i + 0) to m*i**3 + p*i**2 + v*i + r + h*i**4 and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/9)\/(35\/14)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(6\/3) - 14. Let w = d - -74. Suppose -15 = -4*j + w. Is 18 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 2*m - 14 = 0, 646*m = 2*k + 649*m + 19 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -11. Let x be n + (-7)\/((-28)\/16). Calculate the greatest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40946334 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/11 + 150*g**2\/11 - 2214*g\/11 + 9234\/11.\nAnswer: -2*(g - 57)*(g - 9)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31646?\nAnswer: 2, 15823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**4 - 1 + 10*i**3 + 3*i - 9*i**3 + i**3)*((1 + 1 - 4)*(4 - 3 + 1) + 11 - 44 - 23 + (3 + 0 - 5)*(-9 + 2 + 1) + 1 + 4 - 4).\nAnswer: 47*i**4 - 94*i**3 - 141*i + 47","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 5*m**2 + 2*m. Let s(d) = d**3 + 4*d**2 - 2*d. Let t(a) = a**3 + 5*a**2 + a + 1. Let v be t(-5). Calculate v*o(w) - 5*s(w).\nAnswer: -w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 8374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 - -0.4. Let u = -7025 - -3965. Let a be (-4)\/(-3) + 4440\/u. What is the closest to t in a, -18, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5 - 1) + 14\/(-14). Suppose -3*y - 22 = -2*f - 0*f, -5*f - 29 = m*y. What is the tens digit of (y\/(-10))\/(6\/435)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 53 - 52.6. Suppose 2*q + 1 = 9, -4*h - 28 = -5*q. Suppose -3*s + 0 = -2*l - 2, 5*l - 4 = 3*s. What is the biggest value in h, 3, y, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(700) + 0 - sqrt(700) - sqrt(700))**2 - (sqrt(700) + 4)*3.\nAnswer: -30*sqrt(7) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 0 - -2 - 3 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -359, -451, -599, -803, -1063, -1379, -1751?\nAnswer: -2179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36568.548ms to hours.\nAnswer: 0.01015793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z - 116*z + 30*z + 34*z + 31*z.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2519*s**2 - 56 - 66 + 122.\nAnswer: -2519*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -733*p**2\/3 + 46909*p\/3 + 64 = 0.\nAnswer: -3\/733, 64","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -15*i**4\/8 - i**3\/6 + 5*i**2\/2 - 4*i. Let m(g) be the first derivative of a(g). What is the units digit of m(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 39834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p*p**(2\/15)))\/p)\/(p**1\/p)*(p\/p**(-2\/3))\/p**0*p**3\/(p*p*p**4\/p)*(p*p*p**(6\/7))\/p*(p**(-3\/2)\/p)\/p assuming p is positive.\nAnswer: p**(-653\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-135)\/30*4\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 623*v - 319 = 652*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b = 26*b. Let a be b - 39\/(-3) - 1. Solve -1 + 2 = -2*v + w, 3*v - a = -3*w for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.09 and -30875.\nAnswer: -30875.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 628488 and 21528?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-365301)\/555)\/(3\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*o = 2*w - 3, -2*w + 4*o + 20 = 0. Let t(l) = l + w*l + l + 1. What are the prime factors of t(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17a2 + -a50?\nAnswer: -2632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2929734606 to the power of 1\/2, to the nearest integer?\nAnswer: 54127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42140.8*171.2.\nAnswer: 7214504.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 not equal to 311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*((-12)\/78)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 45180946 to the power of 1\/2, to the nearest integer?\nAnswer: 6722","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57*o**4 + 26*o**3 + 22915*o**2 + 958178193*o wrt o.\nAnswer: -684*o**2 + 156*o + 45830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 6*s**2 - 11*s + 345. Let h(z) = -7*z**2 + 14*z - 345. Determine 4*h(q) + 5*t(q).\nAnswer: 2*q**2 + q + 345","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20067767.\nAnswer: 149, 134683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 18. Let z be (-8)\/(12\/(-8) + i). Suppose 0 = -w + z - 2. What is the greatest common divisor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**6\/10 + 18*z**5\/5 + 109*z**4\/4 - 273*z**3 - 2028*z**2 + 7251*z. Find v, given that g(v) = 0.\nAnswer: -13, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**7\/840 + k**4\/6 + 4*k**2. Let x(u) be the second derivative of a(u). Let y(d) = -2*d + 2*d + 2*d. Give x(y(c)).\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 7*k**2 - 6*k + 18. Let d be w(6). Let q be 3\/((-81)\/(-372)) - (-4)\/d. Let y = 28 - q. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274 times 6.6?\nAnswer: 8408.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -65532 * -1135\nAnswer: 74378820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 19*s - 19. Suppose -214 - 26 = 15*a. Is d(a) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20\/11 + -71\/33. Which is the second smallest value? (a) o (b) -1 (c) 2 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*l**3*w**2 + 33*l**3 + 2*l**2*w**2 + 371*w**2 wrt l?\nAnswer: -54*w**2 + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 t when three letters picked without replacement from {t: 2, i: 8}.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-0.083.\nAnswer: -0.913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1627 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191 + 337. Let y = v + 200. What are the prime factors of y?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -250*r**5 - 6*r**3 - 17*r - 2. Let i(k) = -502*k**5 - 14*k**3 - 33*k - 5. Let q(f) = -6*i(f) + 14*l(f). What is the second derivative of q(o) wrt o?\nAnswer: -9760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106283870.\nAnswer: 2, 5, 7, 11, 97, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8421 - -7937. What are the prime factors of f?\nAnswer: 2, 8179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**5\/20 + m**4\/6 + m**3\/3 + 3*m**2\/2 - m. Let n be c(3). Is n at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1062 is divided by 349?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997414725.\nAnswer: 3, 5, 883, 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - -14035?\nAnswer: 14034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of j**4\/4 - 2*j**3\/3 - 2*j**2 - 3*j + 1. Is 4 a factor of s(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 7*f**2 - 5 + 3*f**2.\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.1, 2, 4\/9, -1\/8?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 749 and 29639.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59744795 divided by -5?\nAnswer: -11948959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 8:41 PM?\nAnswer: 7:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1222, -0.3, 12 in decreasing order.\nAnswer: 12, -0.3, -1222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 27.1, -23, -0.2, -2, 0.2?\nAnswer: 27.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 5. Let t(y) = -y**3 + 3*y**2 + 5*y - 5. Let q be t(k). Let v be 6\/(-4)*2\/(-3). Which is the nearest to v? (a) -1\/4 (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gcgigggggi. Give prob of picking 2 i.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = n - 7, 2*n = -4*b + 8*b + 24. Let w be ((-7)\/4)\/(26\/8). Let h = 3\/91 - w. Are n and h equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 3670.806 centimeters?\nAnswer: 36.70806","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 18746004.\nAnswer: 3\/6248668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4)\/(g\/g**(-6))*((g*g**(1\/6))\/g)\/g*g**(-3)*g)**29 assuming g is positive.\nAnswer: g**(-2407\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 + 0.1. Let m(f) be the first derivative of -f**3\/3 + 3*f**2\/2 + 3*f - 13. Let y be m(4). Which is the nearest to -0.1? (a) v (b) y (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 4*v + 65, v - 2*v = 5*s + 65. Let t = s + 0. Let l = 176 + t. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6561 is divided by 1037?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*m - 11*m + 25. Suppose m*v + 15 = 0, -3*o = -4*o + 5*v + 17. What is the biggest value in 0.4, o, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 406 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 26953353 divided by 259\nAnswer: 104067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 3*n - 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3477328 to the power of 1\/2, to the nearest integer?\nAnswer: 1865","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - t**2 - 3*t**2)*(-t**2 + 0*t**2 + 2*t**2).\nAnswer: -3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z + 5*z + 4*z. Let b be (-800)\/(-30) + (-4)\/6 - -1. Let i(k) = -b + 17 + 24*k**2 + 10. Give g(i(d)).\nAnswer: 24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = o - 49, -9*o = -4*g - 12*o - 87. Let b = 27 - g. What is the greatest common divisor of b and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**(-1\/6)*y*y)\/y*y*y\/(y**(-4\/3)\/y))\/(y*y\/(y*y**(-2))*y)**(-48))**41 assuming y is positive.\nAnswer: y**(48749\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -8. Let k = -1 + l. Sort k, 2\/7, 0.4.\nAnswer: 2\/7, 0.4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/8 - (-1)\/(-4). Suppose -7*a = -k*a. Let z = 2 - a. Solve z*b + 27 - 1 = 4*w, 0 = -4*b - 2*w - 2 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 116 + 2*m - 114 - 2*m**4 - 34*m**2 + m**4 in the form p + s*m**2 + o*m + r*m**4 + u*m**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1027763?\nAnswer: 11, 233, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from znzfncfzzuunzczunf. What is prob of sequence zcuc?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9484, -13160, -16836, -20512?\nAnswer: -24188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 24 or -2\/11?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 9*i - 21*i)*(-1 + 1 - 3).\nAnswer: 87*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 3*a**4\/2 - 570*a**3 + 78525*a**2 - 4631250*a + 198046875\/2 = 0.\nAnswer: 65, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 1 - 21. Calculate the least common multiple of i and 2\/(-4)*28\/(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0 - 0)\/(-3))\/(0 + 3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-8)*(1 + -1). Suppose b = 4*l - 28. Solve -l*t + 3*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - -10. Let i be (r\/(-16))\/((-2)\/12). Let d(y) = -1 - 24*y + 22*y - i. Determine d(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45574 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 36129 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, p: 2, d: 2}. Give prob of picking 2 p and 2 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdggddgfggdd. Give prob of picking 2 f.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-5*(-8)\/(-48))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-3)*d**1*d*d**(-5\/2)\/d**(-7) assuming d is positive.\nAnswer: d**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-3)*(78 + (-2709)\/(-43))\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*y**3 + 65*y**3 + 2*y**2 - 38*y**3)*(-3*y + 2*y - 2*y).\nAnswer: 30*y**4 - 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**3 - 3*u**2 + 6*u - 3. Let p(i) = 5*i**3 - 4*i**2 + 6*i - 4. What is 3*p(s) - 4*v(s)?\nAnswer: -s**3 - 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 14137886 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16\/59 or -15\/832?\nAnswer: 16\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -y - 76. Let f = y + -41. Solve 4*l = 3*v + f, -3*v - l = 10 - 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8200960 and 14080?\nAnswer: 90210560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 229692 is divided by 7409.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 82063 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 81016\/(-4674) + (-8)\/3\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/8257312 and -31\/1120?\nAnswer: 41286560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4144703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -1\/3*n**6 + 0 + 0*n**5 + 32*n + 5\/6*n**4 + 5\/6*n**3 - 5\/42*n**7 + 0*n**2. Factor h(k).\nAnswer: -5*k*(k - 1)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46638 and 7620.\nAnswer: 59230260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6957\/77 - 337847\/3740. Find the common denominator of i and 37\/1071.\nAnswer: 21420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 6*g + 108 - 136 = 0, 0 = -2*n - 7*g + 16*g + 63 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 7, n: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f**2 - 55*f - 21. Give m(19).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 49993480.9 to the nearest 1000000.\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -8071 and -58165754658?\nAnswer: 58165746587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -3*g**2\/7 - 6927*g\/7 + 10940166\/7 = 0?\nAnswer: -3386, 1077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 3 - (4 - 6)) + -4.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 113707*f - 6 - 113711*f + 3. Let u = -15 - -13. Give q(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -k**2 + 1265*k - 1815?\nAnswer: -2*k + 1265","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the third derivative of -p**7\/1155 + 73*p**6\/165 - 5329*p**5\/55 + 389017*p**4\/33 - 28398241*p**3\/33 + 353*p**2. Determine z, given that y(z) = 0.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 15 = -j, 0 = 5*j + 286*f - 287*f - 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 9*x + 12. Let k(s) = 4*s + 6. Let r(d) = 7*k(d) - 3*t(d). Suppose -3*i + 21 = 2*b, 0 - 3 = b - 3*i. Suppose 0 = 7*l - b*l. Determine r(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -1\/6 (c) 43\/7 (d) -5 (e) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5304757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -23330034?\nAnswer: -23330041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -13*h. Let l(q) = -162*q. Let t(i) = 63*b(i) - 5*l(i). Let a(d) = -28*d + 96. Let f(g) = -10*g + 36. Let c(o) = 3*a(o) - 8*f(o). What is t(c(m))?\nAnswer: 36*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 59169843662655?\nAnswer: -59169843662655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 1. Let u(j) = -3*j**2 + 2*j + 3. Let b be -9*(-2)\/4*36\/(-27). Give b*o(v) - u(v).\nAnswer: -3*v**2 - 2*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 163249180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 19666544 and 2458318?\nAnswer: 19666544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cylllcyll. Give prob of picking 3 l.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4790, -9728, -14992, -20744, -27146, -34360, -42548?\n\"Answer: -27*t**3 - t**2 - 4746*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**2 - n. Let s be m(1). Suppose -o = -s*o + 60. What are the prime factors of o?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1820?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 w, and 2 q when four letters picked without replacement from qwwqoqowwqoqoq?\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 329*i**2 + 700*i + 8419. What is the units digit of x(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 + 373399*w**2 - 372575*w**2 - 12*w**3 + 33*w**4 + 3 wrt w?\nAnswer: 792*w - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 443255928 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -418*x + 5167 = -3743 + 1804 for x.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -556.2686 to the nearest ten.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 93\/(-11 - (-12 + -2)). Which is bigger: 34 or b?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 + 58. Let l = 200 + -205. Let c = q + l. Is 6 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20 - -18. Let x be (-5)\/2*(-1 + (n - -1440003)). Round x to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + sqrt(66)*-3)\/sqrt(11) + sqrt(72)\/sqrt(3))\/(6*(sqrt(108) - 2*-2*sqrt(108)))*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60556 or 60557?\nAnswer: 60556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 2:19 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 813783315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*m**3 + 2 - 18*m**3 + 4*m**2 + 35*m**3 as s*m**3 + a*m + z*m**2 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*j + 5. Let f = -3 - j. What is the units digit of (2 + -1)\/(2\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r\/(r\/(r*(r*r\/r**0)\/r)))**35*(r\/(r\/(r*(r**(-1)\/r*r)\/r)))**(-2\/7) assuming r is positive.\nAnswer: r**(737\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**4 + 348*w**3 + 10920*w**2 + 144400*w + 660000 = 0. Calculate w.\nAnswer: -30, -25, -22, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 37834 = -5034. Round g to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.340198471 + 296.\nAnswer: 296.340198471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -51*t - 1665. What is c(-32)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4 + 3)*1 + 0 + 0. Sort 0, g, 35 in descending order.\nAnswer: 35, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mrm when three letters picked without replacement from gfmmr.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/((d\/(d*(d\/((d**(-2\/7)*d)\/d))\/d))\/d)))**(-12)*d\/(d*d**(-2\/15))*d**(-1) assuming d is positive.\nAnswer: d**(1529\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43252.036934 - 43252. What is n rounded to four dps?\nAnswer: 0.0369","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -77*v**3 + 10*v**2 + 13*v - 8. Let t be i(-8). What is t rounded to the nearest one hundred?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*3*(2*((-1 + sqrt(425))*3 - 4*(1 + sqrt(425))) + 1))**2.\nAnswer: 84240*sqrt(17) + 605556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -897 - 6*l**2 + 4*l - 880 + 3549 - 887 - 885.\nAnswer: -6*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/3 + 3124*q - 7319532.\nAnswer: -(q - 4686)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/9 + 28\/6. Suppose -j*q = -3*o + 41, 5*o - q - 61 = -0*q. Let y(l) = l + 12. What is the smallest common multiple of o and y(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 930023031*z + 3*z**2 - 930023031*z. Let r(y) = -2*y. Let g(s) = -21*s + 1. Let b(w) = -2*g(w) - 18*r(w). Determine f(b(p)).\nAnswer: 18252*p**2 - 936*p + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1498817 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448596685?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2131486363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18943?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/10)\/(x**20*x)*x**(-14)*(x*x\/(x\/(x*x**12))*x)\/x assuming x is positive.\nAnswer: x**(-211\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**3 - 2*u. Let a(k) = 8*k**3 + 3*k. What is -4*a(m) - 5*b(m)?\nAnswer: 3*m**3 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13995 >= 13996?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (654380*p - 4*p**2 - 654609*p + 2*p**2)*((p - p + p)*(2 - 3 + 0) - 31 + 31 - p) to f*p**2 + c + z*p + g*p**3 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b - 9. Suppose -10*y = 73 - 23. Let a be (-28 - -25) + 2\/(2 + 0). Let j(h) = 3*h + 4. Give a*i(v) + y*j(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 693319138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -294*j - 1761. Let r be m(-6). Solve -4*x + 8 = -u - r*x, 2 = -4*u - 2*x for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0.2, 1\/1928?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of 7*h**5\/30 + h**4\/24 - 4*h**2. Let v(g) = -7*g**2. Let p(s) = 3*f(s) + 7*v(s). Find the second derivative of p(a) wrt a.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28942 divided by 2330\nAnswer: -14471\/1165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -320*y + 292*y + 184632. Calculate the highest common factor of 126 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159249703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**7\/42 - m**6\/6 + 9*m**5\/20 - 7*m**4\/12 + m**3\/3 - 22*m. Factor x(o).\nAnswer: o*(o - 2)*(o - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.51, 0.3, -38.6, 5 in ascending order.\nAnswer: -38.6, -0.51, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 194 - 133 = 4*w, -4*w - 5*o - 287 = 0. Suppose 5*h = -30 + 5. Is h\/(-20) + w\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 - 22*h**2 + 981*h + 577. Give c(-44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 14.7 (b) 2271 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 2 = -x, 964*x = 837*x - 2*j - 1391 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -0*t + 2*j - 14, -3*t - 4*j = -16. Let u be 8\/(-324)*3 + (-8 - (-816)\/81). Solve 16 = 4*b - 4*k, -3*b - u*b = -k - t for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g + g - 2*g)*(0*g - 3*g + 4*g)*(-10 - 58 - 22)*(3*g**3 - 9 + 9 - 3*g).\nAnswer: -270*g**5 + 270*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 290260 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 61*l**2 + 57*l**2 + 58*l**2 + 0*l - 192*l**2 - 7*l to p + v*l**2 + x*l and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 230 = 3*r - 182, 0 = 2*r - 5*s - 172 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 7*n - 4. Let j be f(-8). Suppose -2*v - 5*t = -32, 4*v - 3*v - j*t - 42 = 0. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -514, -514, -512, -508, -502?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -108374 and 5160.\nAnswer: -103214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 3*u**3 - 2*u. Let o(p) = -2*p**3 + 2*p. Give 3*k(c) + 4*o(c).\nAnswer: c**3 + 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -370 (base 8) in base 12?\nAnswer: -188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 22349 = 4*c, -c - 5*d = -4*c + 16740. Let q = c - 52121\/9. Let m = -18137\/90 - q. Calculate the common denominator of -49\/10 and m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 93*g**3 - 3 - g - 34*g**2.\nAnswer: -93*g**3 - 34*g**2 - g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b49535 (base 12) to base 3.\nAnswer: -101221210211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18463 and 323195?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*w - 183 = 52 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -37. Suppose -3*m = -7*m + t. Solve 3\/2*p + m - 3\/2*p**2 = 0 for p.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -2*s + 15, 6 + 14 = 4*q. Suppose s*y - 81 - 784 = 0. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101 (base 3) to base 9.\nAnswer: -141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2. Let q(l) = 5*l**2 - 27. Let v(f) = f**2 + 15*f - 409. Let a be v(-29). What is a*x(h) + q(h)?\nAnswer: 2*h**2 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 x when three letters picked without replacement from {k: 2, c: 3, t: 3, x: 9}.\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdfd. Give prob of picking 2 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-5)*(-3500)\/210*(-120)\/(-25).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 77\/(-21) + (4\/(-6))\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12586 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4368.84 + -4466. Let o = l - -96. Round o to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g**2*h - 5*g**2*r**2 - 11*g**2*r - 1969*g*h*r**2 - 37*r**2 with respect to h.\nAnswer: g**2 - 1969*g*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(171)\/((-2*sqrt(54))\/sqrt(6)).\nAnswer: -sqrt(19)\/2 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -12340 not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1, 30, 83, 158?\n\"Answer: 11*r**2 - 2*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0. Let c = -9\/4 - -3. Let l be (-3)\/(-18)*4 - 68\/48. What is the closest to -2\/5 in i, l, c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u - 3. Let v(z) = 34*z - 19. Determine 6*o(h) - v(h).\nAnswer: -28*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39)\/sqrt(48))**2 - (-2*sqrt(13))**2*2) + (sqrt(39)\/sqrt(3)*-4)**2 + -5*(sqrt(13)*2)**2.\nAnswer: -2483\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - 17 - (2 - 1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*t + 57*t + 62*t - 174*t.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = 3*r - 26, -12 = -r - 4*b + b. Is 4 a factor of 23\/r + (-2)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -9. Suppose -4*z + 3*z = -b. Calculate the smallest common multiple of z and 14\/(-35)*(-10)\/(-4)*-8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 283 - 275. Let s(m) = 2*m**2 - 5*m + 3. What is the least common multiple of s(3) and y?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-26))\/((-20)\/(-260)). Suppose 0 = -y + n + 13, -4*y - 4*n + 10 = -i. Determine g, given that -1\/2*g**2 - 4*g - y = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t. Suppose t = 4*w - w - 9. Let s = w - 1. Solve 7*x - s*x + 5 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -47.2436 - -0.2436. Which is the fourth biggest value? (a) -4 (b) -0.04 (c) 1\/5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*i**6 - 11719*i**3 - 34022*i**2 - 2*i - 19?\nAnswer: 6600*i**3 - 70314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 169781552.\nAnswer: 2, 167, 63541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*7\/14 - (-14)\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 99*o + 18. Let q be h(-10). Let i = -47626\/49 - q. Is 1 less than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 58\/261*27 - 6\/(-2). Let o(l) = 2 + 7*l**3 + l + 15*l**2 - 5*l**2 + 9*l. Is o(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303655 to the power of 1\/2, to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 5, -97?\nAnswer: -97","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1217 to two dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of r**3\/3 + 3*r + 9. Let t(f) be the first derivative of l(f). Let i(o) = -7*o. What is i(t(p))?\nAnswer: -14*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 15, -7, 3 in descending order.\nAnswer: 15, 4, 3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from upndupddpupu. What is prob of picking 3 p and 1 n?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 3041889*q + 23.\nAnswer: 3041889*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 16*y**2 + 30*y - 47. What is v(18)?\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10 and -4854?\nAnswer: 48540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51.12421m to millimeters.\nAnswer: 51124.21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 296804 and 1\/4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/22 - (-1664)\/286?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 328025 = 2*h, -5*h = t + 2*t - 819985. Round h to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0016309453 to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -58\/363 and 47\/2211.\nAnswer: 24321","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6, t: 4}. What is prob of sequence ta?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1291, 2568, 3843, 5116, 6387, 7656?\nAnswer: 8923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -4197015\/7 and -599573 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29445 is divided by 773.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 103331 (base 4) to base 9\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2395556227?\nAnswer: 2395556227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182 = 5*o + 4*r, -r = -2 - 1. Suppose -5*g + 35 = -0*g. Calculate the remainder when o is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 985653 a multiple of 828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*c**3 + 53*c**3 + 53*c**3.\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 - 13 = -2*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3*w = d - 12, -d + 2*w = -8. Let g be (-2)\/(-3) - (-21)\/9. Suppose -2*v + 2 = g*x - 0*x, v + x = d. Which is bigger: -0.1 or v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n**2 - n)*(0 + 3 + 11)*(2*n + 0 + 0).\nAnswer: -28*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -12. Suppose 10 = -j*b, l + 4*b + 3 = -0*b. Solve 0*m = -m + l for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*h**3 - 7*h**3 + 1382*h**2 - 4271*h**2 + 1515*h**2 + 1374*h**2.\nAnswer: -27*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420359 is divided by 2123?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1538*i**2 - 8*i - 16. Let a(u) = -1538*u**2 + 6*u + 12. Determine 4*a(z) + 3*q(z).\nAnswer: -1538*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -1. Suppose -3*p + 4*p - 7 = c. Find the second derivative of h + 4*h**5 - 9*h**5 + p*h - 4*h**5 wrt h.\nAnswer: -180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1487\/(-5948)*3*36\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -500 or -70316\/141?\nAnswer: -500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 84*j**6 - j**2 - 13*j.\nAnswer: 10080*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 8*p**2 + 4. Let o be v(-8). Let s(l) = l**3 - 6*l**2 - 6*l - 8. Let y be s(7). Sort 1, y, o in descending order.\nAnswer: o, 1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = 7*y - 65 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -8*(1 - (-4)\/(-8)). Which is the smallest value? (a) -2\/9 (b) -0.1 (c) 2\/7 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 12:39 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 480, -0.2, -362?\nAnswer: 480","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (-1 + (-8)\/(-3))*-3. Put j, 1, -2, 3 in ascending order.\nAnswer: -2, 1, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2168 divide 7275355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85551 and 3444.\nAnswer: 98212548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does -32 = -8\/23313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*w, -7*v + 2*w = -5*v + 3*w - 4*w + 3 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1033 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1.6 times -0.052\nAnswer: 0.0832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1683 - -9?\nAnswer: 1692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392472 divided by -98118.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 181500363 = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.848108 rounded to one decimal place?\nAnswer: 10.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 7:40 AM?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r*r**(-2))))\/r)**(-35)*r**(-4\/7)*r**(3\/4) assuming r is positive.\nAnswer: r**(1965\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 1068 = 3*i + i, o = 2. What is the second derivative of -10*m**4 + 10*m**4 + 252*m**5 - i*m + 31*m**5 wrt m?\nAnswer: 5660*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 10028*b - 425. What are the prime factors of i(3)?\nAnswer: 7, 19, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.43 - -1.12. Let x = p + -1.85. Which is the biggest value? (a) x (b) -2\/3 (c) -1.7 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*2\/(-5)*-5. Suppose -4*p - 15 = -5*p. Suppose 5*w + 15 = 0, -2*o + p = -m*o - 5*w. Solve 30 = -3*t - 3*k, -10 = -o*t - 2*t + 4*k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 85503095 = 6*o. Let a = -10250619 + o. Suppose -10*h + 15*h + a = 0. Round h to the nearest 100000.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x + 8. Let y be f(-6). Let g(o) = -2 + 2*o**2 - 3*o + y*o**2 - o**3 + o. Suppose -221 = 4*i - 229. Give g(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4315590 to the nearest integer?\nAnswer: 2077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -3\/23 (b) 0 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1136152 in 1, 0.1, -2, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 7, -3, -6 in ascending order.\nAnswer: -6, -3, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**2 + 2*t - 1. Let r(u) = -363*u**2 - 14*u + 6. What is 6*i(n) + r(n)?\nAnswer: -357*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2db (base 14) to base 7.\nAnswer: 1464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 + -287dd?\nAnswer: -28805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-615)\/(-75) + (24\/(-10))\/(-3). Let j(c) = c**2 - 8*c - 8. Let h be j(q). Let u(w) = -w**3 - 7*w**2 - 7*w - 9. Let p be u(-6). Are h and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36835763 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-21)\/9 - 18\/27.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3611 and 314?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/14*(0 - 2). Let r = 5 - c. Solve 4*n + 8 = 0, 12 = 3*a - n - r*n for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1890\/11 - 172. Sort -7\/4, m, 2, 3.\nAnswer: -7\/4, m, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74929858.\nAnswer: 2, 1627, 23027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uh when two letters picked without replacement from mgmhejeuumjg?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -72 + 70.8. Let v = -1.1 + -3.9. Let n = v - -1. Which is the second biggest value? (a) j (b) n (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/13 in -79, 0.6, 30\/19?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 10 - 13*l**2)*(3 - 4 + 3)*(-2*l + 2 - 2).\nAnswer: 52*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 22523 to the power of 1\/2, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4226 less than or equal to -2\/409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -k + 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1540505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*f - 1 - 21, -5*p - 3*f = -15. Sort 2, -6, 5, p in increasing order.\nAnswer: -6, 2, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 7, q: 2}. Give prob of sequence qqj.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f + 2 + 3 - 8*f. Let t be b(0). Solve -14 = -t*j + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/9 (b) 1\/9 (c) 1\/2 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -65 (b) 3\/5 (c) -0.3 (d) 0.3 (e) 16 (f) -1 (g) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195 = 19*i - 22*i. Let v = -55 + i. Let r = 37 - v. Calculate the remainder when r is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 12:09 PM?\nAnswer: 417","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1761881821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -1444.1?\nAnswer: -14.441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5132565 a multiple of 513?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 AM and 10:50 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -98 + 101. Determine q so that -4*q**j + 44*q - 28*q + 1 - 1 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 768.0399 months to decades.\nAnswer: 6.4003325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31358?\nAnswer: 2, 15679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1816822973 and 2051.\nAnswer: 2051","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/24)*l\/(l*l\/((l**(2\/9)\/l)\/l)) assuming l is positive.\nAnswer: l**(-203\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2883 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: Let s(o) = 14*o - 1. Suppose 14*k = 12*k + 2*t, t = -2*k + 12. Let w(x) = -6*x + 1. Let h(j) = k*s(j) + 9*w(j). Let z(y) = y + 6. Let f be z(0). Calculate h(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 811053.1 micrograms in milligrams?\nAnswer: 811.0531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6908721847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -142*i**3 - 166.\nAnswer: -426*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*36\/((-14976)\/7384)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -363 or 1\/3?\nAnswer: -363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000482309 rounded to seven dps?\nAnswer: -0.0000482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -8*x**3 + 3*x**2 + 666*x + 38. Is w(-21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2851.1 + -3025. Let w = r - -174. Which is the biggest value? (a) 5\/2 (b) -1 (c) w (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*z**2 + 111*z - 387?\nAnswer: -4*z + 111","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10120 to the power of 1\/2, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*p - y - 15, -3*y - 75 = -5*p. Let r(d) = -2*d - 21. Let a be r(p). Let j = a - -91. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*v + 8 = 1, 20 = -4*w - 4*v. Let x(y) = -75*y - 1. What is the units digit of x(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/6*((-754)\/(-767))\/(-29)\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*t - 1126, 5*c = -3*t + 825 + 2025. Suppose -y = -1267 - c. Let n = -3040 + y. Round n to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 176*t - 96*t - 160. Let a be (-12)\/(12\/3) + 8. Let i = a - -1. Is i at most as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9299, 9255, 9207, 9155, 9099, 9039, 8975?\nAnswer: 8907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 15 = -5, 0 = c - 9*p - 45 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14623?\nAnswer: 7, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -7*d**2 - 122*d + 6. Let c be n(-17). Solve -c*y + 55*y = -6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4915 - -4910. Sort g, 53, -3, -4 in ascending order.\nAnswer: g, -4, -3, 53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 85690.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 17.8?\nAnswer: 17.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 8*p - 1759 = -s, 0 = -2*p - 3*s + 714. Let g = 17 - 4. What is the highest common divisor of g and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 - -53. Let v = 12 + -7. Let k = a - v. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + (-2)\/6)\/(11\/(-33)). Suppose 3*u - 166 = -2*x, -y*u - 4*x = -u - 176. Is 13 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 47. Calculate the greatest common factor of 14 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6194*i + 6196*i = 4172. Calculate the greatest common factor of i and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 122 + 40803?\nAnswer: 41025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*r**3 - 66*r**3 - 544*r**3.\nAnswer: -547*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9184 + 9184 + 198*t**2 to k + d*t**2 + u*t and give d.\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nutexnxo. Give prob of sequence ueox.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/35 + 12\/42. Let f = 85 + -257\/3. What is the nearest to f in r, 0.3, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = 2*m + 5*t, -2*m - 2*t = -76 + 102. Let s(i) = -i + i - i**3 - i**2. Let g(w) = -12*w**3 - 9*w**2. Give m*s(k) + g(k).\nAnswer: -3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 39*w - 162*w + 62*w. Let i(n) = n. Determine i(j(l)).\nAnswer: -61*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + (2*sqrt(325) + 0 - sqrt(325)) + 4)**2*2.\nAnswer: 160*sqrt(13) + 2632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 46013750 to the nearest one million.\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3462 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange n**3 + 3*n**3 - 9*n + 2*n**2 - 6*n**3 - 4*n**4 + n**3 - n**2 to h*n**2 + l*n**3 + a*n**4 + s + d*n and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 8:43 PM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.8 - 1.8. Let x = 13.8 - 14. Which is the third biggest value? (a) x (b) -1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 59 - 69. Suppose 0 = y*n - 4*n - 5*u + 3, -3*u - 54 = -5*n. Calculate the remainder when 30 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1286436)\/116820 + (11 - 0)?\nAnswer: -2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-4))\/(14\/2002*13)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -12, -151, -378, -693, -1096?\n\"Answer: -44*o**2 - 7*o + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3849\/310 + 745\/62. Which is the closest to 0? (a) 3\/4 (b) 2\/11 (c) -0.7 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*s = 13*s + 7616. Is 37 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2113090 and 630?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1546048 to the nearest integer?\nAnswer: 1243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 273\/54 + -2 - (-139)\/(-2502). Solve 15 = 3*t - 2*q, -3*t - h*q - 6 = -21 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 523*c - 5302 - 746 = 2320. What is the remainder when 95 is divided by c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 1733*i**7\/42 - 326*i**3\/3 + 329*i + 3. Find the second derivative of s(k) wrt k.\nAnswer: 34660*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqqq. Give prob of sequence qeq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 + 70*s + 1012. Calculate d(-20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d\/((d**(1\/11)*d*d*d)\/d)*d)\/d**(2\/21) assuming d is positive.\nAnswer: d**(650\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k. Let b be j(2). Let r = b + -14. Let f(o) = 1624999*o - 4. Let a be f(r). What is a rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 5*q**2 - 130*q - 135 = 0.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1604 + -166?\nAnswer: -176a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (58546\/7619)\/((-2)\/(-38))*(-2)\/4\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j. Let l be k(1). Let m = l - -4. Suppose -m = 2*y - 3*y. Which is smaller: -2 or y?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2846*r = -2838*r - 2416. List the prime factors of r.\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 4*p - 7*p - 2, 5*n - p - 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -8 - -7 - (-4 + 1). Suppose 2*b + 18 = 4*g, -f*g + 3*b - 4*b + 11 = 0. Solve -s + 3*s + g*x = 2, -5*s - 2*x = 16 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8.000942 - -8. Round x to five decimal places.\nAnswer: -0.00094","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3757.826 to the nearest 10.\nAnswer: -3760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 569*l + 223*l + 1215*l + 935*l + 1404*l as x*l + z and give x.\nAnswer: 4346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/(-18810)*-55*-2)\/(2\/603).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -85*d**3 + 3*d**2 - 15*d + 8. Let l(b) = 127*b**3 - 4*b**2 + 23*b - 12. Let x(n) = -5*l(n) - 8*o(n). Is x(2) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 - 10. Let d = 12 - 9. Which is the smallest value? (a) -4 (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 - 15 - 27 - (1 + -6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3151344 divided by 787836.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of -5*c**4\/24 - 2*c**3\/3 + 3*c**2. Let w(d) = 11*d + 9. Let f(y) = 7*g(y) + 3*w(y). Differentiate f(j) wrt j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/3867663 and 22\/919214573?\nAnswer: 2757643719","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2368*d**2 + 752*d + 1?\nAnswer: -4736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 251*i - 10802. What is q(55)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 153581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 4*t = 4 + 6, -3*o = -t + 11. Let s be (-1)\/(-3) - o\/3. Which is the closest to -1? (a) 0.5 (b) s (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f + 20. Let m = 14 - 0. Let w be j(m). Let h = w + -90. Solve h = p - 0 + 1 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3.94 and -191025.\nAnswer: -191021.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (515\/10815)\/((3\/270)\/1).\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3484 - -3484. Solve r = 11*y + 6*y - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-22)\/(-8) + (-21)\/28. Let l = 14 - v. Calculate the greatest common factor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g**3 - 9*g**3 - 144*g**2 + 144*g**2.\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -94*u. Let d(a) = -27*a**2 - 46*a**2 + 20*a**2 + 58*a**2. Calculate t(d(l)).\nAnswer: -470*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3210666795?\nAnswer: 3, 5, 7, 3397531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-5) + (192\/195)\/4. What is the closest to -1 in 1, 2\/7, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j - 4 + 4)*(-27*j + 10*j**2 + 27*j).\nAnswer: -30*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1000 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 9357*v + 262002. Give k(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 14*l**3 - 15*l**2 + 6*l - 6. Let r(i) = 43*i**3 - 44*i**2 + 17*i - 17. Let y(z) = -17*p(z) + 6*r(z). What is the third derivative of y(d) wrt d?\nAnswer: 120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*m + 5*g + 45, 234*m - 2 = 226*m + g for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 79629*w**3 + 3*w**2 + 3*w + 10. Let q be (2\/(-4))\/(2\/8) + 8. Let x be v(q). Round x to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1137765.3 * -127.\nAnswer: 144496193.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 + 8*q - 4. Let f be y(7). Let s be -1*9\/f + 345. What is the units digit of 8\/(-52) - s\/(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*d + 22543 - 20053. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -5*w**6\/6 - 3*w**2\/2 - 4. Find the second derivative of t(n) wrt n.\nAnswer: -100*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1297 is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 10*f - 2 + 2 + 2*f**2 - 4. Let t = 10 - 18. Is w(t) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15497429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, k: 3, b: 7}. What is prob of picking 1 y and 1 b?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -3, 13\/3, 3\/4, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of 3*o**4\/22 - 27*o**2\/11 - 1992. Find r such that n(r) = 0.\nAnswer: -3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.3 - 7. Let n be 0 + 1\/42 + 5\/(-30). Put n, q, 0.4 in increasing order.\nAnswer: n, q, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.090274237 rounded to four dps?\nAnswer: 0.0903","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 23038003 divided by 101489?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81811\/772 - 150\/193. Let q = 191\/2 + r. What is the common denominator of q and -53\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 19994508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 8:51 PM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 2*t = -4*i + 3, 3*t + 4*i + 27 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-4\/3)*(p\/(p*p\/(p*(p*p*p**(-2\/17)*p*p)\/p)*p))\/p)\/(p**(6\/11)\/(((p\/p**(4\/3))\/p)\/p)))**35 assuming p is positive.\nAnswer: p**(-65380\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:27 PM and 7:11 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 890 (b) -0.0246 (c) -114\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 2:52 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -828*z - 12 = -831*z. Suppose z = -12*w + 4. Solve 4*c - 20 = -w*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + 1 - (-1 - 0). Let n be (2 - j\/1)*5. Suppose -5*t + n + 0 = 0. Which is bigger: t or -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 153, 1048, 2683, 5058, 8173?\nAnswer: 12028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h + 6 = 9*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 + 7*n - 9. Let u be l(-9). Let b = -6 + u. Let g be 2\/(-4) - 7\/(-6). What is the nearest to g in -0.1, -4, b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1236727998 divided by 42933.\nAnswer: -28806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - -44. Suppose -8*o + 18 = -m*o. Solve -o*v + 25 = -8*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1496524979\/408 - -3667956. Let l = k - 41\/17. Calculate the common denominator of -83\/12 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(12\/7)*b\/(b*b**(-4\/7)))**(-1\/3))**(2\/65))**(-2\/5) assuming b is positive.\nAnswer: b**(64\/6825)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/70*(-56)\/92?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 60\/(-9)*(-3)\/2. Let z = a - 6. What is the second derivative of -x**3 - z*x**2 + 3*x + 4*x**2 wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**2 - g**4 + 2*g**2 + (g**2 + 3*g - 3*g)*(g - g - 2*g**2) + (27*g**4 + 37*g**4 + 155*g**4)*(-1 + 1 - 1).\nAnswer: -222*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Sum -60 and 1682490586194.\nAnswer: 1682490586134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.452 - 0.052. Let q = 0.041 - -5.359. Let w = s - q. Which is the closest to 2? (a) w (b) 1 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-2\/9)\/f))\/f**(-1\/4)*f**6*(f*f*f**(-2))\/f*f)\/(f**(2\/5)*f*f*f**2)**41 assuming f is positive.\nAnswer: f**(-30947\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9220 and -66.\nAnswer: -9286","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12301300 (base 4) to base 14.\nAnswer: a18c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7530295 and 305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sttz when four letters picked without replacement from {t: 2, p: 2, s: 1, z: 1}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 251*d - 19 = -249*d, -4*d - 8 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2*9 + (-63812)\/(-86) is divided by 334?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 424*x = 758*x - 12024 for x.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -9*l - 3. Let r be q(-4). Suppose r - 13 = c - 4*p, -2*c + 25 = -5*p. Which is greater: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 3076ee7?\nAnswer: -3076ee4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6192\/4481 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 64*y**2 - 2*y - 5. Suppose -7*w + 0*w = 28. Is u(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527225 - 483743 = 9370*b + 1055442 for b.\nAnswer: -108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.4 to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 3, k: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 2074?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/(-5) + 9\/15. Let t be (-5)\/(f - 596\/(-600)). Let h = 1199 - t. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -453765, -907645, -1361525, -1815405, -2269285, -2723165?\n\"Answer: -453880*j + 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -285 + 12. Let n = -144 - p. Does 43 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 129808218?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*j - 3089*j**3 + 0*j - 4*j - 22*j**2 + 3101*j**3 in the form y + l*j**2 + w*j**3 + f*j and give w.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -768512 rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 5*o = -4, 5*d - 16 = o + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14409.4 - 15800. Round b to the nearest 10.\nAnswer: -1390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1707000 to the nearest one hundred thousand.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/40 - ((-130)\/(-80) - 2)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 451.0758 + -451. Let x = 0.07581542 - w. What is x rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -591674, -1183356, -1775042, -2366732, -2958426?\nAnswer: -3550124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22304, -5\/4, 25, 1\/48 in decreasing order.\nAnswer: 25, 1\/48, -5\/4, -22304","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -100100101110 (base 2) in base 8?\nAnswer: -4456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92265*c - 4191 = 92565*c - 11780 - 2911 for c.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/(-2) + 3 + 0. Let a be 0\/(-1) - 7*f. Let x(w) = -w**3 - 6*w**2 + 7*w. Let j be x(a). Solve 2*k + 8 = i - k, -3*i - 5*k + 10 = j for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -7 - (-7 - -11 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 3206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of s**3 - 19318201*s**2 - 31715216*s - 1 wrt s.\nAnswer: 6*s - 38636402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 49*i**4*l**2 - 4*i**4*l - 3*i*l - 96*l**2 wrt i?\nAnswer: 588*i**2*l**2 - 48*i**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -1 + 13. Let x(c) be the first derivative of -2\/3*c**3 + 0*c**2 + 0*c - d. Let i(q) = -2*q. Give x(i(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - p = -387 + 8227, -4*p = j - 1960. Round j to the nearest 100.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 7. Let a = 30 - 29.983. Let j = 0.083 + a. What is the nearest to j in -1, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4130741 + -956196\nAnswer: 3174545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*z = 14*z + 13*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 57.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 124088, 124099, 124122, 124163, 124228, 124323, 124454?\n\"Answer: m**3 + 4*m + 124083","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 21, 2\/21, -0.4, 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2\/8 - 501*q\/4 - 999\/8 = 0. What is q?\nAnswer: -333, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5943845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -16726.\nAnswer: -1\/8363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1914050 is divided by 439?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from csheeeceesse?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 4, -14, -4 in decreasing order.\nAnswer: 4, 2, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i**2 - 5*i - 21. Let s(k) = k**2 + k - 2. Let m(c) = -h(c) - 5*s(c). Let y(r) = -2*r**2. Give m(y(b)).\nAnswer: -4*b**4 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000330588 to 7 decimal places.\nAnswer: 0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, -6, -7, -6, -3?\n\"Answer: i**2 - 6*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/23 and -19\/3.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -635 - -635. Let o = 1 - 0. Which is the nearest to o? (a) m (b) 0.4 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -y**3 + 842. Let k(w) = -489*w**2. Give k(m(a)).\nAnswer: -4401*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 81*p - 3\/4*p**4 - 54*p**2 + 45\/4*p**3 + 0.\nAnswer: -3*p*(p - 6)**2*(p - 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -39*j. Let l be d(2). Put l, -5, 1 in ascending order.\nAnswer: l, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3171679 + -35?\nAnswer: -3171714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 237.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.20659 and 1.1.\nAnswer: 2.30659","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**3 + 2529*o**2 - 390381*o - 3720465.\nAnswer: -3*(o - 635)*(o - 217)*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 85000083*b**2 - 85000082*b**2 + 107*b**5 + 2*b**4 - 6018*b - 344*b**5 wrt b.\nAnswer: -4740*b**3 + 24*b**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -739 - -748. Let r be 31\/u + (-116)\/261. Solve -r*h = -4*a - 8, 0 = 2*a + 3*a + 3*h + 37 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22172 - 22180. Let k(m) = 36*m + 296. Determine k(c).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 less than 257.70516947?\nAnswer: 298.70516947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 8, x: 2, q: 4}. What is prob of sequence sxss?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*v**4 - 1 - v + 43*v**4 + 464*v**2 - 465*v**2 in the form d*v**4 + t*v**2 + n*v**3 + p + y*v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7928*l**3 - 2124*l**2?\nAnswer: -47568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6273 and 4539?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194222?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5281*r**2 + 165898*r.\nAnswer: -10562","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -53*s + 4. Let h(j) = -2*j - 5. Let b(u) = -21*u - 19. Let c(k) = 2*b(k) - 8*h(k). What is 5*c(p) - 2*x(p)?\nAnswer: -24*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 10*x - 15 = 0. Suppose 0 = 5*t - 6*o + x*o + 157, -2*t + 3*o - 61 = 0. Let p = -30 - t. Calculate the greatest common divisor of p and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*n = -21, -20 = -4*y + 2*n + 10. Solve -3*x + 31 = -4*o, -o - y*x = -2*x - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 29*h + 45*h - 101*h + 30*h. Let s(y) = 46*y. Give s(i(g)).\nAnswer: 138*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 203383 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 20*u + 9. Suppose -3*j = -6*j + 60. Let i be o(j). What are the prime factors of (-3 - 0)*(-357)\/i?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - -1 - (12 - (30 - 21)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 + (-2)\/4)*((-48)\/(-9) - 2786\/597)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 12. Let y be p(6). Let r be y\/3 - -4*1. Solve -2*t + r - 2 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 6 = -3*r. Let v = 954.785 + -952. Let i = -0.785 + v. Which is the smallest value? (a) i (b) 0.4 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -801, 2, -3, -4, -19, 1, 0 in increasing order.\nAnswer: -801, -19, -4, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3 + 6*l**2 - 8*l.\nAnswer: -l*(l - 4)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 3*l**8\/2800 - l**7\/1400 - l**6\/300 - 17*l**3\/3 + l**2\/2 + 61*l. Let w(a) be the second derivative of u(a). Factor w(h).\nAnswer: 3*h**2*(h - 1)*(3*h + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1037 + 132.8.\nAnswer: 1169.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17094?\nAnswer: 2, 3, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 83621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63847 is divided by 420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/102 and -5\/57919?\nAnswer: 347514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2)*(-2 + 2*u + 2)*(-1 + 0 + 0) + (-3 - 2 + 4)*(300*u - 106*u + 274*u).\nAnswer: -472*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 + 34. Let u = a + -8. Suppose 0 = -3*d + u*d - 255. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.9 - -8.6. Let u = 1.3 - v. Let a = u + 1.35. What is the second biggest value in 0.5, 1, a?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 399, 405, 415, 429, 447, 469, 495?\nAnswer: 525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17295.\nAnswer: 3, 5, 1153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -9924944\nAnswer: 1\/2481236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*o**3 + 31*o**2 - 14*o**2 + o - 15*o**2.\nAnswer: -26*o**3 + 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s\/s**(-6\/13))))\/s*s*s\/s**13 assuming s is positive.\nAnswer: s**(-137\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-232)\/12*(-4)\/(24\/45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1067.9 - 1068. Let p be (4 - (-2)\/(-1))*1. Let f be p\/6 + 13\/(-12). What is the second biggest value in f, 7\/2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 27*n + 82. Let u be w(-24). Calculate the highest common divisor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04860517 - 0.0486. Round z to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*-1*(-34)\/1870?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 364933*l**5 + 116*l**4 - 308427990*l**2 wrt l?\nAnswer: 21895980*l**2 + 2784*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/13155 and 41\/24.\nAnswer: 105240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 PM and 9:49 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1011, 1949, 2807, 3579, 4259, 4841, 5319, 5687?\nAnswer: 5939","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + (-1 + -3 - -8). Let v(y) = 2*y + 8 - 18 + 0*y. Calculate v(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 28\/53 and 489 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -3 - (-80)\/36. Let y = -33 - -35.02. Let z = y - 0.02. Which is the nearest to 0? (a) x (b) -2\/13 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-24))\/(255\/306)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -9. Solve -10 = 4*h - d*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 3*l + 1. Let c be p(-4). Let w be (-6 - -1)*2\/c. Let j(q) = q - 1. Let h be j(1). Is h less than or equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19377150 and 78.\nAnswer: 19377150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-44 - -39 - (3 + -10 + 1)) + 56)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 plus 0.18?\nAnswer: 236.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -75 - -163. Let w = 147 - 104. Suppose 3*c + w = 5*s, 0 = -5*s + 4*c + 18 + 21. What is the greatest common divisor of s and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + -30126?\nAnswer: -30124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5151\/85 - -15) + 4*(-2)\/(-20). Solve -91*s = -r*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 + 6*x - 9. Let j be q(-7). Let g = 57581 + -57578. Which is the closest to 1? (a) j (b) g (c) -0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b1 + -54329?\nAnswer: -54038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2590*c**2*q**3*y - 458566*c**2*q**2 - 9*c*q**2*y - 53645*q**3*y + q**2 wrt q?\nAnswer: 15540*c**2*y - 321870*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 20 + 0 - 43 - 2*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - y**2)*(-1 + 5 - 2) + 2 - 3*y**2 - 2 + 2*y**2 + 0*y + 0*y + (-3*y + 2*y - 2*y)*(-y - 3*y + 2*y).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, x: 4, p: 1, b: 4, n: 3, a: 5}. What is prob of picking 1 x, 1 n, and 1 a?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.13, -2\/939, 1402?\nAnswer: 1402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -3*k**5\/20 + 3*k**3\/2 - 3*k**2 - 14*k + 8. Let l(c) be the first derivative of p(c). Determine t, given that l(t) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-3) - (-2)\/3. Suppose -t = 3*z - 101, t - 157 = -t + 3*z. Suppose -i*x + 4*v + 67 = 0, -4*x + 2*v + t + 10 = 0. Solve 4*a - 5 = -x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014154592 to 7 decimal places.\nAnswer: 0.0001415","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140325 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62308 is divided by 335.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -63\/206?\nAnswer: -63\/206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -4*b + 3. Let q(t) = -t. Let a(y) = -k(y) + 3*q(y). Let l be a(7). Let n = 5 - l. Sort 3, 1\/2, n.\nAnswer: 1\/2, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**1)**(-2\/33)*(t\/t**(-1))**(-41) assuming t is positive.\nAnswer: t**(-2708\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -120 + 124. Solve 15 + 1 = b*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 66 = -2*g - 2*h, -h = 2*g - 73. Let t = -15 + g. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 701849.3 nanometers to millimeters.\nAnswer: 0.7018493","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*7\/2*(-1360)\/(-4488)*(-1408)\/(-80)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p - 8. Let m(u) = 11*u + 17. Let c(i) = -i**3 - 23*i**2 - 2*i - 52. Let o be c(-23). Determine o*m(l) - 13*h(l).\nAnswer: -l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -189027 or -189024?\nAnswer: -189024","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2834431 + 1114569. Round k to the nearest 100000.\nAnswer: 3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 29*o**2 - 56*o + 59. Let g be h(27). Sort g, -5, -3 in decreasing order.\nAnswer: g, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(180) + (sqrt(405) - (-3 + sqrt(405))**2).\nAnswer: -414 + 69*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19 (base 15) to base 11.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -3*d**2 + 29*d - 179. What is i(12)?\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaaaaacoaaaaaa. What is prob of picking 2 a and 1 c?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 2 r when three letters picked without replacement from irxrggxxrrxpiprrrg?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5937 less than -0.2?\nAnswer: -5937.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, -4, -1, -37 in descending order.\nAnswer: 6, 4, -1, -4, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 950186?\nAnswer: 2, 475093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 5, d: 3}. Give prob of sequence ddld.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -32\/5 + 16\/5*t - 2\/5*t**2 = 0. What is t?\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 4:31 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*d - 8020 = 8396. What is the smallest common multiple of d and 32?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348783 and 844?\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1139789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/1899649 or 0?\nAnswer: -7\/1899649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18094 + 18198. Solve 0 = 17*s + k - 2 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4567095 by -5.\nAnswer: 913419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/(-70)*(83 + -69). Solve i - 2*o + 6 = 0, 3*o + r = -i + 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 5*x + 2 + 13 = 0, 5*a + 5*x = -25. Let j be (-132)\/15*a\/4. Suppose 5*s = -5*v + 60, 3*s - s + 3*v - j = 0. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((o*o\/(o*o**(-1\/3)))\/o)\/o)\/o*o)**(2\/123)\/(o**(1\/8)*(o**(-6\/11)\/o)\/o))**(-2\/21) assuming o is positive.\nAnswer: o**(-78245\/340956)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -15*x - 36. Let w be d(-5). Suppose w*y - 21*y = 684. Solve 9*b + y = 11 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11.96054mg?\nAnswer: 0.01196054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-4 - 4)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + -1977. Is (-4)\/(-26) + y\/(-39) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136470533.\nAnswer: 911, 149803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011 + 1001100011101111111?\nAnswer: 1001100011101101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(5082)*-1 + sqrt(5082)) + sqrt(5082) + sqrt(5082))\/((sqrt(2400) + sqrt(2400)*-2 - sqrt(2400))\/sqrt(4)))**2.\nAnswer: 847\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + 38\/(-3) - (-110)\/(-231).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**8\/1680 - a**7\/525 - a**6\/75 - a**5\/150 + 7*a**4\/120 + 2*a**3\/15 - 79*a**2. Factor z(w).\nAnswer: (w - 4)*(w - 1)*(w + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 81, 0, 2, 548?\nAnswer: 548","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 3:58 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*w + 10 = 44*w. Let v = -8 - -12. Suppose -4*g + 27 + 73 = -v*b, 10 = -w*b. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 30*s**3 - s + 1. Determine b(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2. Let q(x) = -2*x + 7. Let c(n) = -2*n + 1. Let h(j) = 2*c(j) + q(j). Determine h(g(r)).\nAnswer: -6*r**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*j - 40 + 40.\nAnswer: -53*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -229 + 231. Suppose 0 = -m*c + 2875 - 1039. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 28191 + -14836. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10, -11, -12, -13, -14?\n\"Answer: -z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/15 + 122*z**2\/15 - 522*z\/5 + 378.\nAnswer: -2*(z - 45)*(z - 9)*(z - 7)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + -326. Let r = 352.3 + n. Which is the third biggest value? (a) -4 (b) 2 (c) 0.1 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 15*c - 9 - 9 + 6 - 6*c. Is o(7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -2*s**2 + 270*s - 254. Let v(d) = 30*d**2. Calculate g(v(y)).\nAnswer: -1800*y**4 + 8100*y**2 - 254","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 h when two letters picked without replacement from {t: 1, u: 1, b: 2, f: 5, h: 3}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s - s**3 - 2*s + 0*s**2 + 2*s**3 + 0*s**2 + (-4*s - 2*s**3 + 4*s)*(-2 + 3 - 3) + (2*s + 2*s**2 - 5*s + 0*s)*(-2*s - s + s) + 2*s**3 - s**3 + 9*s**3.\nAnswer: 11*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -146 + 146. Which is the smallest value? (a) g (b) -2\/7 (c) 21 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -152, -12, -5, 394.\nAnswer: -152, -12, -5, -1, 4, 394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - h - 2*h - 7 = 0, 3*h = 2*y - 10. Let a be 10\/(-45) + y\/9. What is the second biggest value in -2, a, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 5 - 116*r**3 + 7.\nAnswer: -116*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a3440868 - 3?\nAnswer: a3440865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 4:31 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -295.16 to zero dps.\nAnswer: -295","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-14))\/((-66)\/(-20328)*-22)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2442989928 at most as big as 2442989928?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqdqyqx. Give prob of picking 3 q and 1 y.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 0 - 2)*(2 - 2 - 4*m) + 3*m - m - m - 1 + 1 - 3*m to a + t*m and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6222838 is divided by 520.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 28\/(-6)*12\/(-14). Let a = -7 - -11. Is a at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(-2))\/(460\/(-103408)). Suppose 23*a + q = 608. Factor -4\/13*w**a - 6\/13*w**3 + 0 + 0*w**4 + 2\/13*w**5 + 0*w.\nAnswer: 2*w**2*(w - 2)*(w + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9 = 1. Let r(g) be the second derivative of 0*g**3 + 0*g**2 + o*g + 1\/18*g**4 + 0. Factor r(a).\nAnswer: 2*a**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1858014?\nAnswer: 2, 3, 109, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**5*r**2)\/(r**(2\/11)*r**6) assuming r is positive.\nAnswer: r**(-90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1747, -3490, -5235, -6982, -8731?\nAnswer: -10482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a + 3. Let x(y) = -15*y - 10. Let t(h) = 7*r(h) + 2*x(h). Give t(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 10*b**2 + 0*b**2 + (4*b**2 - 3*b**2 - 3*b**2)*(1 + 2 - 2).\nAnswer: -10*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 6*p - 106 = -2*o, 0 = 2*o + 5*p - 106. Suppose 3*m - 200 = -o. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (48\/(-42))\/8*7\/(-2)*16?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 17648 and 156?\nAnswer: 688272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2658, -10301, -23048, -40905, -63878?\n\"Answer: -t**3 - 2546*t**2 + 2*t - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + r - 1\/3*r**2.\nAnswer: -r*(r - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**3 - 18*n**2 - 143*n - 1026. What is f(-8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2820494 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: Convert 76b47 (base 12) to base 5.\nAnswer: 20012114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 639 and 3621?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/12*(-78)\/(73710\/35)\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-424)\/689*(2\/(-8) - 0). Find w such that 0 + 4\/13*w**2 + j*w + 2\/13*w**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*k + 6*k = -13825. Calculate the highest common divisor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/5 (b) 0.039 (c) -1 (d) 2\/11 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3)*p*p*p\/(p**(1\/4)*p)*p**1\/p*(((p\/(p\/p**(-3\/7)*p))\/p*p)\/p)\/p)\/(p**(2\/5)\/(p*p**(-3\/4)\/p))**(-49) assuming p is positive.\nAnswer: p**(3617\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22608950 and 1366475.\nAnswer: 248698450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1.7, -0.2, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-33)\/(-22))\/(1\/(-2)). Is 35 + 0*y\/9 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4258 or 4261?\nAnswer: 4258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4406660.336 rounded to the nearest 100?\nAnswer: -4406700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-417748)\/(-555308) + (-3312)\/(-472) + -7?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(343) - (sqrt(343)*3 - sqrt(343))))**2.\nAnswer: 8575","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**3 + 6*l**3 + 4*l**3 - 10*l**3 + 14 - 6.\nAnswer: 8*l**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12\/7 - 197\/119. Suppose 0 = -6*p + 3*p - 27. Let i = -8 - p. Which is greater: r or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3886.1000974 - -3886.1. What is m rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 40.9 (b) 1\/6 (c) 0.4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 5390 - 2697 - 2693 - 20*v. Let d(j) = 6*j + 6. Give d(r(q)).\nAnswer: -120*q + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/25, 0.5, 38, 3\/4 in descending order.\nAnswer: 38, 3\/4, 0.5, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 29249585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*p**3 - 4610*p**2 - 6405*p.\nAnswer: -5*p*(p + 183)*(5*p + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 136080 divided by -60\nAnswer: -2268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -51\/2, 2\/7, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21 + -21.36. Let r = -0.56 - o. What is the nearest to 0.3 in -0.3, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4930871994 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293442757.\nAnswer: 61, 443, 10859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 768 and 312?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4875.96 from 1.123.\nAnswer: 4877.083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 2408.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9277?\nAnswer: 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15*(-1)\/2*(-12)\/(-18) + (-215 - -186).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02689595 to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30010118 and 70904.\nAnswer: 120040472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(4\/11)*i**(3\/7))\/((i*i**(-6)*i*i)\/i**6))**19 assuming i is positive.\nAnswer: i**(14326\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 301*v - 67. Let r(g) = -102*g + 23. Determine 4*a(q) + 11*r(q).\nAnswer: 82*q - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -48*r**2. Let m(w) = 1345*w**2 - 2. Give m(y(h)).\nAnswer: 3098880*h**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -23 + 19. Let a = -0.69 + 5.72. Let n = -0.03 + a. Put x, n, 0 in increasing order.\nAnswer: x, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 - 7*p + 7. Let g be v(-7). Suppose -g*z = -2*z - 150. Suppose -z = -b - 17. Calculate the greatest common factor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*c + 4*r - 4, c - r + 1 = 0. Suppose -5*x - 88 = -4*w, -c*w + 2*x + 0*x = -73. Calculate the greatest common factor of w and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 370102 * 0.027.\nAnswer: 9992.754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 374*r - 1924. Calculate the smallest common multiple of 40 and l(6).\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35286743 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 70 - -61. Is 18 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -13*n**4\/24 + 2*n**3\/3 - 3*n**2 + 51*n - 22. Give u(-12).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/8 (b) 1\/19 (c) 7\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4242.\nAnswer: 2, 3, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -7288.53939.\nAnswer: -7286.53939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (102\/4)\/(15\/(-10))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*v + 16965 = -202*v - 57*v + 63*v for v.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 6*z + 1. Calculate k(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -3 - (-1 - 0)) + 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 - 14e8?\nAnswer: -14e5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -25*b + 29*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 3*g - 136991, 20 - 24 = 2*g. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - -5*(-5)\/25. What is the second derivative of -7*v**3 + 14*v - 9*v**p + 11*v - v**3 wrt v?\nAnswer: -102*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 523 - 73 = 0. Let f = 436 - u. Is 46 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hepphdhpfffhfe. Give prob of sequence hfpe.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*1\/(-2))\/(325\/(-195)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14517 - 29023\/2. Let o(r) be the second derivative of 0 - 11\/6*r**3 + j*r**2 - 3*r**4 - 36*r. Let c(w) = 7*w**2 + 2*w - 2. Give -11*c(y) - 2*o(y).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*u**3 + 38*u**2 + 25*u**2 - 63*u**2.\nAnswer: 25*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.2 (b) -0.02 (c) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4831, 0.1, 1\/1837 in descending order.\nAnswer: 0.4831, 0.1, 1\/1837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - -105?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/45 of a day?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**3 + y**2 + 7*y + 1. Let l(t) = 14*t**3 - 4*t**2 - 27*t - 14. Give l(g) + 4*r(g).\nAnswer: 10*g**3 + g - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56.31 + -56. Let o = 0.01 - x. Which is the biggest value? (a) 2 (b) -0.1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413950029?\nAnswer: 3, 137983343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8074, -8076, -8078, -8080, -8082?\n\"Answer: -2*c - 8072","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 36 = -3*r. Suppose -r = 4*v, 69 = 3*c + 3*v + 2*v. What is the remainder when 53 is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-105*c**3 + 58*c**3 - 69*c**3)*(4*c - 7*c + 7*c)*(0 + 0 - 1).\nAnswer: 464*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1739, 4748, 9089, 14780, 21839, 30284, 40133?\nAnswer: 51404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 1. Let s be (4 - (-76)\/(-18)) + (-32)\/18. Let x be (s\/(-3))\/(4*5\/(-10)). Which is the biggest value? (a) x (b) d (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25 - 2002?\nAnswer: -2027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 5, 12, 537, -5, 102 in increasing order.\nAnswer: -5, -4, 3, 5, 12, 102, 537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23.7 (b) -2\/65 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (282\/(-1316))\/((-4)\/56)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1480*i**3*r**4 - 19*i**3 + i**2*r + 24*i*r**4 - 154 wrt r.\nAnswer: 17760*i**3*r**2 + 288*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(12\/(-8) - 0). Let s = l - 12. Suppose 0 = -v - s*v + 175. What are the prime factors of v?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-13 - -3)\/((-4)\/128). What is the greatest common divisor of a and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 7*n = 4*x - 8, 4*n = -5*x + 23 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*m**4 - 5931*m**3 - 50184*m**2 wrt m?\nAnswer: 48*m - 35586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/38172 and 7\/1660482?\nAnswer: 3320964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tdtcydtdttctdddttdh. What is prob of sequence cyt?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6015 - -0.6. What is f rounded to 4 dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -413 + 443. Solve 0 = v - 5*v + 5*y - s, -v - 5*y + 5 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 38*g - 59. Let r be 1*-4*(-6 + (-21)\/(-14)). Let k be ((-562)\/(-18) - 4) + (-4)\/r. What is the tens digit of o(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**3 + 62985 - 62981 + j**3 + 7*j**3.\nAnswer: 4*j**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 184 = -8*i, 1430*p = 1435*p + 2*i + 51 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/7, -1779, -882?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*r - 129*r**3 - 3 + 136*r to i*r**3 + t*r**2 + p + x*r and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 303211 (base 5) to base 4.\nAnswer: 2121032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**5 - 2*s**4 - 55296*s**3 - 10396*s + 3.\nAnswer: -20*s**3 - 24*s**2 - 331776*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7106 and 187.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -t + 2. Suppose 0 = 3*r - t - 11. Suppose -r*y + 876 = -2*f, 0*y + 5*f + 1090 = 5*y. Round y to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -257*h**5 - 1617*h**3\/2 - 4*h + 806. Find the second derivative of n(i) wrt i.\nAnswer: -30840*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, l: 10}. Give prob of picking 1 y and 1 l.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*t - 14. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*n - 3*w, 0*w = n + 3*w + 3. Let r = -169 + 841\/5. Let m be (-2)\/(5*(-2)\/2). What is the smallest value in m, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1131 (base 9) in base 2?\nAnswer: -1101000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27183*c**3*k**2*p**3 + 36*c**3*k**2*p - c**3*k*p**3 + 19*c**3*k*p - 5*c*k**2 + 2*k**2*p - 2*k*p**2 wrt p?\nAnswer: 163098*c**3*k**2 - 6*c**3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6429520.\nAnswer: 2, 5, 80369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 1:27 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5102218 - 5102218 - 10953*c.\nAnswer: -10953*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**1*h)\/h)\/(h**(-4)\/h))\/(h*h*h**(1\/2)\/h)**(-12) assuming h is positive.\nAnswer: h**24","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1477 + 1480. What is the highest common divisor of 219 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-63)\/(-308)*2 - 2\/4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -180083, -180418, -180753, -181088, -181423?\nAnswer: -181758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1499*b - 1498*b + 1 = x, 8 = 4*x - 2*b for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116295*d**2 + 266363*d**2 + 320319*d**2.\nAnswer: 470387*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) + (-375)\/(-35). Suppose -1068 = -a*o + 461. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 1. Suppose 0*x + a*p = -x + 13032, -4*x + 52163 = 5*p. Let u = x + -23047. What is u rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*b**4 - 52*b**3 - 672*b**2 + 1.\nAnswer: -624*b - 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-52) - ((-3102)\/(-624) - 20\/5). Is 282 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -120 - -125. Solve 1 = 3*a - u for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156582 less than 156577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1264 + -853. Let m = b + -409. What is the highest common divisor of 34 and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 982 and 3976?\nAnswer: 1952216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -218 and 212?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -133.3 in -0.3, -0.2, -5, 2\/5, 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2311 + -5?\nAnswer: 2302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -119 - 21. Let x be (-8)\/a - 174\/(-21). Suppose -x*q = -7*q - 37. List the prime factors of q.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l = 2, -4*a + 6*a - 2 = -2*l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.8 take away 0.34?\nAnswer: -58.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 280, 295, 310, 325?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (58 - (-9 + 19 - 6) - -9) + -8.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 14*r - 7. Calculate o(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 506 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.96 take away 10.078070506?\nAnswer: -9.118070506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78)*1*6 + sqrt(78))\/(-4*sqrt(24)\/sqrt(4)).\nAnswer: -7*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 10 = -u, -2*l = u - 22 + 36 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 527093211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2215 + 127*r**2 + 389*r**2 - 2202 - 83*r**2 + 122*r**2 to w*r**2 + c*r + y and give w.\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + 0. Let d(s) = s + 0*s - 2 - n*s - 4*s. What is the units digit of d(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731864729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1552 - 1554. Suppose 0 = -4*u + 5*o - 22, -4*u - 2*o - 3 = 5. Sort r, u, 3 in increasing order.\nAnswer: u, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 6*i**3 - 43*i**2 + 21*i - 97. Let g be m(7). Let r(v) be the third derivative of v**4\/4 - v**2. Calculate r(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*k - 20 = 0, -3*k + 8*k = 4*s + 35. Let h be (38\/(-18) + 2)*2. Let j = -5 + 9. What is the closest to -1 in j, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1262 to three dps.\nAnswer: 0.126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 850.\nAnswer: 850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 3708.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1015, 3864, 8617, 15280, 23859, 34360?\n\"Answer: m**3 + 946*m**2 + 4*m + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 251 * 19.2\nAnswer: 4819.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-54)\/(-5) - 4\/5 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 6*l + 6. Let x be i(4). Let n = -49 + 52. Suppose -3*u + 39 = n*h, -u - u - x = -5*h. Sort -1, -2, h in increasing order.\nAnswer: -2, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - 0.53. Let w = c + 0.07. Round w to 1 dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (280\/(-12))\/((-4)\/36). Suppose -76*z = -74*z + n. Let l = -71 - z. Calculate the greatest common divisor of l and 68.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**2 + 7*k - 65. Let y be w(4). Let b be 4\/(-14) - 208\/7. Let f = y + b. Solve 0 = 3*u - p + f, u - 4*u - 5*p = 7 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eizbm. Give prob of sequence ee.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4*c**2 + 13*c - 13. Let x(y) = 17680*y**2 - 3 - 8839*y**2 - 8842*y**2 + 3*y. Give 6*l(p) - 26*x(p).\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 2*r - 30627, -r + 12250 = v + v. Let j = v + -98127\/16. What is the common denominator of 19\/18 and j?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + 9 + 294\/(-63).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, -6319, -13 in ascending order.\nAnswer: -6319, -13, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -7, -1\/34, -3251?\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -504*d**2 + d**3 + 502*d**2 - 1 - 4*d**3 - 1 - 55*d**4 - 24*d**4 as n*d**4 + x*d**2 + b*d + z*d**3 + p and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 63948468 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 16. Let m = 1014 + -1007. Give r(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**5 + 8424*h**4 - 42171*h**3 + 67500*h**2 - 33756*h = 0.\nAnswer: -2813, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.9 - 0.1. What is the nearest to 0.1 in s, -1, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123057.5ng to micrograms.\nAnswer: 123.0575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 166. Let l(x) be the second derivative of -x**4\/12 - 53*x. Give l(d(y)).\nAnswer: -4*y**2 + 664*y - 27556","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 85?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + 5*((sqrt(288) - (sqrt(288) - -2*sqrt(288))*-3) + sqrt(288))*-3)**2.\nAnswer: -47044806 - 23760*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 + -0.19. Let p = 0.3599946 + w. Round p to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-31632)\/18)\/2*(-6)\/(-1248) - -4 and 43\/72.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6963435 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 253841647 - 253841645.73000229. Let u = m + -1.27. Round u to 7 decimal places.\nAnswer: -0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-40)\/(-18) + (-2)\/9. Suppose -i*h - 61 = -189. What is the remainder when h is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5424*3.\nAnswer: 16272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13801 is divided by 251.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -94900512 divided by 6?\nAnswer: -15816752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 6 = 3*x, -x = -4*o + 4225. Let m be (o\/210 - 5)*-4. Which is the smallest value? (a) 0.2 (b) -0.02 (c) m (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = m + m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-7)*(o*o**(-1\/6))\/o)\/(o**(-2)*o**(1\/8)))**(-50))**(11\/2) assuming o is positive.\nAnswer: o**(28325\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a - 10. Let b = -11 - -19. Let p be w(b). What is the units digit of p + 7 + -3 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100538 a multiple of 378?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 338\/8 - 1\/4. Suppose 0*a = -3*a - 3*p + b, 78 = 5*a + p. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9744552?\nAnswer: 2, 3, 41, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**2 + 60*d - 68*d + 8*d.\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12\/11? (a) 8 (b) -4 (c) -33 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -162 + 259. Let w = z - 97. Let d be (19\/57)\/(w - -1). What is the third biggest value in -2, 0.5, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 34805968 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4 - 3*w**3 + 27*w - 22*w + 6*w**2 + 4*w**3. Let k be i(-5). Solve 0 = -k*f + f + 6 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 687312 divided by 171828\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 106*c**3 - 17*c**2 - 2*c - 136484 wrt c?\nAnswer: 318*c**2 - 34*c - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 776, 3126, 7048, 12542, 19608, 28246?\n\"Answer: 786*m**2 - 8*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449*v + 14775 = 407 for v.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15467*i - 3973*i = 103446 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/10 and (-2)\/(-5) - (-2994)\/540.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-23)\/a)**(-29)\/(((a**42*a)\/a)\/a)**(3\/2) assuming a is positive.\nAnswer: a**(1269\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3844*b + 3845*b = -8 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -8128?\nAnswer: -812c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 0*h - 3*h - 16*h + 3*h**2 - 8 + 2*h. Let z be p(7). Suppose -z*j = -16*j - 256. What is the smallest common multiple of 22 and j?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-5)\/(o*o*o\/o**(-1\/7)) assuming o is positive.\nAnswer: o**(-57\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*x**2*z**2 - 61*x**2 - 44*z**2 - z wrt z.\nAnswer: -4*x**2*z - 88*z - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -3*o**3 - 2*o**2 - o. Let u be l(-1). Let p(s) = 2*s**2 - 3*s. Let y be p(u). What is the third derivative of 4*g**5 + 2*g**2 - g**y - 2*g**5 wrt g?\nAnswer: 120*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 + (5 + 11 - (-38 - -38))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/6*9096000\/(-2). Round o to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5339 = 1404. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10951710.\nAnswer: 2, 3, 5, 7, 11, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17228 - 258418\/15. Which is the third biggest value? (a) 1 (b) -36 (c) z (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 283.2 and 5644649?\nAnswer: 5644365.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 - -3)\/(2\/(-4)). Let d be (-1)\/y + 1\/4. Solve 0*x + 2\/5*x**2 + d = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -414400 + 2?\nAnswer: -414343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1.6 (b) -9592.3 (c) 0.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**4\/2 + 3*j**2\/2 - 6*j - 1. Let r be (-15 + (-697)\/(-51))\/(4\/(-9)). List the prime factors of y(r).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.2 (b) 345 (c) 1 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 63a - -9aa2?\nAnswer: a520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3144191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 - 130*b**2 + 460*b - 440.\nAnswer: 5*(b - 22)*(b - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (8\/140)\/((-6)\/60*-2)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 0*s - 20. Suppose -2*t = -s*t + 4*i + 118, 2*t - 106 = -2*i. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 4*q, 5*q + 21 = -2*c + 2*q. Let n(r) be the second derivative of r**5\/20 + r**4\/2 - r**3\/3 + 5*r**2\/2 + r. What is the units digit of n(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/14 + 3\/7. Which is the nearest to -1\/4? (a) 11 (b) w (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51 - 54) + -2 + -7?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -1) + 16 + -21?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 + 41.00000019. Round g to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 890\/6 - (-5)\/(-15). Let i = 287 - u. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 423 - 416. Let n(r) = -54*r + 349. Let s be n(m). Is s smaller than 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + ((0 - -7) + -4)\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 745.8486ml?\nAnswer: 0.7458486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -146979 divided by -8?\nAnswer: 146979\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 16*r**2 + 12*r + 4. Let g be y(-16). Let h be 18\/45 - g\/(-495). Let a = -3 + 4. Do a and h have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195496640 a multiple of 9620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 404450 and 6673425?\nAnswer: 13346850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1790456 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4931 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310022 (base 4) in base 2?\nAnswer: 10110100001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**3 + 4*o**3 - 4*o**3 + 2*o**3 + 15*o**3.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*k**3*l*w + 15*k**3*l - 3*k**3*w + 4*k**2 - 3*l*w + 13*l + 195*w wrt l.\nAnswer: 3*k**3*w + 15*k**3 - 3*w + 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*h - r - 10 = 122*h, -2*r + 2 = 0. Solve 0 = -t - 6*x + h - 36, -x = 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 2*l**3\/3 + 4*l**2 - 9*l + 30. Let y be i(-5). Solve -x = 2*k - 3, -5*x - y - 5 = 3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6286 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*-5*(-18)\/(-15). Let j be (5\/3 - 2)*m. Let h(z) = -39*z + 429. Let q be h(11). Solve x + 7 = -j*w, 2*x = -5*w - q*x - 18 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (5 - (0 + 6))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3040 - 22033?\nAnswer: -30123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y. Let t(f) be the first derivative of -3*f**2\/2 - 182*f + 57. What is t(r(m))?\nAnswer: 3*m - 182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -426 + 425.7. What is the third biggest value in -2\/3, p, -130?\nAnswer: -130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -1db9404?\nAnswer: 1db93dd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 157*z**6\/6 + 4*z**2 - 21*z - 223. Find the second derivative of b(a) wrt a.\nAnswer: 3140*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 89?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 9*o**2 - 6*o - 13. Let u be z(11). Suppose j - 171 = 4*l, l - 3*l = -j + u. What are the prime factors of j?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 34*l**2 - 4*l - 2. Is h(-1) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 + 141*j**2 + 69*j + 119. Give s(71).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 4*g)*(-2*g**3 + 2*g**3 + g**3) - g**4 - 5*g**4 + 3*g**4 - 3*g**4 + 5*g**4 - 4*g**4.\nAnswer: -9*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2254 and 681590?\nAnswer: 15676570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4073 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 624064035 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**2 - 1056*g - 2096 = 0?\nAnswer: -262, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10355 + 10361. Which is bigger: -0.416 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -473, -501, -529, -539, -513, -433, -281, -39?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(1700) + 0 - ((sqrt(238)*-3)\/sqrt(7) - sqrt(34))\/sqrt(2))**2.\nAnswer: 112*sqrt(17) + 3348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -u + 5*m, -4563 = -u - 3*m - 4564 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2615 - -1824. Let s = a - -791.447. Round s to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**5\/60 - v**4\/24 + v**3\/6 - 3*v**2. Let h be r(2). Solve 0 = 2*w + h*p - 19, -w - 2*p = -0*p - 11 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -8*m + 2. Let r(w) = -10*w**2 + 4*w. Let g(v) = 8*v**2 - 3*v. Let i(d) = 4*g(d) + 3*r(d). Determine s(i(x)).\nAnswer: -16*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.168556799 and -0.08892.\nAnswer: -3.257476799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10 - -7 - (15500 + -3). What is t rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = 2*t + 2*t. Let f(u) = 2*u**2 + 10*u + 7. Calculate the remainder when t is divided by f(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 5*k + 21 = 5, 0 = z - 3*k - 18. Solve 2*b**2 - 3*b**3 - z*b**2 + 4*b**3 - 2*b**3 + b**5 + b**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20.19 + -1.59. Let r = -19 + c. Let j = 5.01 + -0.01. Put r, -0.2, j in increasing order.\nAnswer: r, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 77, 161, 245, 329, 413, 497?\n\"Answer: 84*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**6\/30 - g**4\/24 - g**3\/3 - g**2. Let c(b) = b**2 + 4*b + 2. Let t be c(-2). Does 18 divide v(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**4 + 3*y**4 - 2*y**4 + (22 + 52 - 19)*(3*y**4 - 4*y**4 + 4*y**4) - 3 + 3 - y**4.\nAnswer: 167*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2489577 is divided by 220.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15\/(-25)*(-165)\/429. What is the smallest value in 0.3, q, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 30 = -0*h. Let b be h\/(-8)*(-2 - 2). Solve -3*g = b*t + 6, -3*t - t = -2*g - 10 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/82 (b) 0.05 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 290 and 2233.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {l: 10, x: 2, d: 6}?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 - 4*x + 17. Let f be 5\/(45\/(-12))*-3. Let r(y) = 3*y**2 - 5*y + 6. Calculate the remainder when r(f) is divided by h(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1213 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q + 4*q)*(-1197*q + 3793*q**3 + 2401*q - 1204*q).\nAnswer: 3793*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30798, 123127, 277012, 492453?\nAnswer: 769450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 318*j**2 - 4*j - 132*j**2 + 126*j**4 - 106*j**2 wrt j?\nAnswer: 3024*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - 1 - v - v)*(-5 + 5 + v**2).\nAnswer: -v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 5*v - 8 - 7, 0 = -2*l - 2*v + 22. Let j be l\/(-4)*8\/(-40). Solve j - 1\/2*c + 1\/2*c**3 - 1\/2*c**2 = 0 for c.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4698293 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (-2 - (-24)\/4). Solve 10 = -y*p + 7*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 12*u**2 - 1. Let b be f(-2). Let d = 22 - b. Let l = -15 - d. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**2 + 6*p - 6*p)*(1 + 2 + 2)*(0*p + 0*p + p).\nAnswer: -10*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*w + 282, -11*r + 6*r + w = -288. Let z be r\/18*-1 - (-2)\/9. Sort z, -1, -0.02 in descending order.\nAnswer: -0.02, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -207 + -7. Let k = 304 + y. Calculate the lowest common multiple of k and 30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y - 486 = -5*y + 4*c, 0 = 2*y - c + 313. Let j = -129 - y. Calculate the smallest common multiple of 6 and j.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -88*o**3 + o**2 - 21*o - 10. Let f be h(-7). Suppose 0 = -168*l + 166*l + f. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -559\/5 smaller than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 8) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d + 2*d = -12, 36 - 9 = -3*x + 5*d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 13*k + 13. Let f be o(14). Suppose 0 = 3*g - 2*j - f, -5*g - 3*j + 8*j + 45 = 0. Does 8 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 869 divide 3160928280?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 83*h - 85*h + 18875014 = 0, 4*z + 5*h - 15100035 = 0. What is z rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -1349*g. Let o(n) be the second derivative of n**3\/6 - 2*n - 496. Calculate o(f(s)).\nAnswer: -1349*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 161426, -1\/4, -5, -0.5 in ascending order.\nAnswer: -5, -0.5, -1\/4, 5, 161426","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20176.79cm to kilometers.\nAnswer: 0.2017679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/sqrt(9)*-6 - (sqrt(231)\/(sqrt(22)\/sqrt(2)) + sqrt(21)))\/(((sqrt(3) + (sqrt(15)\/sqrt(5) - sqrt(3)))*-2 + sqrt(75)*2)*-2).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 423 is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -312 and -0.44?\nAnswer: 137.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 180379540 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10.1 or 3?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**2 + 2*h - 5. Let d(t) = -t**2 + 1. Let a be (20\/(-6))\/(4\/(-6)). Determine a*d(q) + l(q).\nAnswer: -3*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -47662, -47664, -47666?\nAnswer: -47668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146855 = 29*f + 149465 for f.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/35639956 and 125\/969122.\nAnswer: 1746357844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000176 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ev when two letters picked without replacement from exvvevxbxv?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5632 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4824 times -6890\nAnswer: 33237360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 16*y - 65. Calculate u(-4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 9412292?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -439223?\nAnswer: -439220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216) + 6*sqrt(216) - sqrt(24))\/((((2*sqrt(132) - sqrt(132)) + sqrt(132) - sqrt(132)) + sqrt(132))\/sqrt(11)).\nAnswer: 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 204779 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -67*z**2 + 370*z + 1097. What is n(-3)?\nAnswer: -616","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.9 + 4. Which is the third smallest value? (a) 1 (b) 4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -33 + -115623?\nAnswer: -115656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -160*a**3 + 46*a**3 - 502*a**3.\nAnswer: -616*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 14\/4)*134\/1. Put -4, a, 1 in decreasing order.\nAnswer: 1, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 9*y. Let v(c) = -36*c + 14. Let u(w) = 19*w - 6. Let h(o) = 7*u(o) + 3*v(o). Determine l(h(t)).\nAnswer: 225*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 0 - 7*q**3 + 1 + 5*q**3 - q - 4*q**4 to the form h*q + j + x*q**2 + w*q**4 + t*q**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -5*y**3 + 12*y**2 + 4*y. Let z(o) = 16*o**3 - 48*o**2 - 15*o. What is -23*v(g) - 6*z(g)?\nAnswer: 19*g**3 + 12*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.22 - -3.78. Let v(p) = -p**3 - 2*p**2 - 3*p - 3. Let f be v(-2). Let o = -9.8 - -10. What is the nearest to 5 in o, f, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 + 81. Let n(d) = 1 - d**2 + 0*d**2 + 4*d - 3 - k. Determine n(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -135, -1292, -4587, -11130, -22031, -38400?\n\"Answer: -185*z**3 + 41*z**2 + 15*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9*3*-6. Suppose 3*g + 9 = c, 3*c + y*g = -0*c - 12. Let t be 0\/(0 - 2) - -3. Solve c*p - t*p - 15 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3330)\/837 + (-44)\/2046 + -26 + 0?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 17*d = -5*k, -2*k = -d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*u + 16 = 0, 2*u + 15 = -3*h + 35. Suppose 300 = h*g - 296. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**5\/2 + 651*c**4 - 15969*c**3\/2 + 19374*c**2 - 12042*c = 0.\nAnswer: -446, 0, 1, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -2, -15.\nAnswer: -15, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6321 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1090?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -3*q + 27, -q + 5*q = 5*g + 31 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l**4*n**2 + 52*l**3*n**3 + l*n + 65*n**3 wrt l?\nAnswer: -12*l**2*n**2 + 312*l*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 735 = 5*s + 1180, -i - 5 = 0. What is the remainder when s\/(-12) - (-7)\/42 is divided by 19?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 - 66. Let y = -39 - -43. Suppose 0 = -0*c + y*c - i. Solve 2*r + 0*r = -c for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*w = -21. Suppose 0 = 10*j - w*j - 789. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87967.44 years in millennia?\nAnswer: 87.96744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18635903 is divided by 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 2282187.1 to the nearest 10000.\nAnswer: 2280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a microsecond in nanoseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(7 - 3) + 10\/(-3). Which is smaller: 104 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4\/7)\/(p*p*p**(-1\/22)*p) assuming p is positive.\nAnswer: p**(-543\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7073*a**2*f*z**2 - 2*a**2*z**2 + 2*a*z**3 - 7*a*z - 10*f*z**3 - 579*z**3 + 2*z wrt f?\nAnswer: 7073*a**2*z**2 - 10*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1540 and 9845.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 + 4*k - 10. Let s = -6 - 0. Let j be d(s). Solve 3*t - j*t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 143620?\nAnswer: 2, 5, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*a - 19710 = 144*a + 55*a for a.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 31 = -2*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32729811*h**3 - 14010172*h**2 wrt h?\nAnswer: -196378866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-10)*405\/(-54)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -89015 smaller than -88877?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-4.42.\nAnswer: -1.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 577723321?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25741707.\nAnswer: 3, 8580569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 + 16. Suppose -z*h + 0*l - l = -29, l - 19 = -2*h. Is ((-1)\/2)\/(h\/(-1420)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (114\/133)\/((-1)\/7). Let o be -4*3395\/(-84) - 2\/a. Let q = o + 469. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 18 + -9 + -4 + 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 + 5724?\nAnswer: 5750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 5*p**3 - 7*p**2 + 4. Suppose -q + 3*c + 9 = 2*q, 3*c - 6 = 0. Is g(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**2 + 2 - 2*m - m**2 - 2*m**2 + 9*m**2 as t*m**2 + v + j*m and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 55*x**2 - 164*x - 4149. What is t(50)?\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215553.\nAnswer: 3, 13, 5527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = c + 15. Suppose -3*g - 24 = 2*u - 63, c*u = 2*g + 26. Suppose 4*r = 5*i - 25, 5*r + 5*i + u - 37 = 0. Which is bigger: 0.3 or r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 0*t**2 + 3 - t**2 - 3. Let r(y) be the third derivative of -y**2 + 0*y**3 - 1\/12*y**4 + 0*y + 0. Determine r(s(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 10*f**2 + 5*f - 11. Let c = -7 - -7. Let v = -2 - c. Let x(b) = -2*b**2 - b + 2. Calculate v*d(t) - 11*x(t).\nAnswer: 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lpggrqwqrglql. Give prob of sequence lwrr.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*s = -1609 + 265. What is the units digit of 12*((-776)\/s + 2\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/36 + -67\/180. Let j = -3.93 + -0.07. Let g = 3.5 + j. What is the biggest value in q, 1, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*w - 86. Let p be (2 - 2)\/(-1) + w. Let g = p - -69. Calculate the remainder when g is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -522.35 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 30*v - 33*v - 2130, -3*i = -v - 2128. Suppose 0 = p + 207 - i. Calculate the remainder when p is divided by 84.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 985.1319g in tonnes?\nAnswer: 0.0009851319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 200 - 1?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -4. Suppose 4*o = 2*g + 50, 16*o = 18*o - 4*g - 16. Solve 2*y = 5*m + 20, 0 = -b*y + y - 3*m + o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2. Let w(z) = -13*z - 7. Let i(s) = -11 + 7 + 5. Let m(n) = 14*i(n) + 2*w(n). Determine d(m(f)).\nAnswer: -676*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w + 1. Let f(k) = -2*k**2 - 2*k + 2. Let i = -29 - -30. Calculate i*f(p) - q(p).\nAnswer: -2*p**2 - p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -425, 3, -3, 20, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5 = -3*s, 0 = 4*s - d + 1 + 1. Let n = -46.95 + 32.95. Which is the third biggest value? (a) n (b) 4 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15907836.\nAnswer: 2, 3, 7, 31, 41, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 - -5. Let s = 5031 - 90631\/18. Calculate the common denominator of (-94)\/(-36) - (h - -1) and s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1406.124715 to 1 dp.\nAnswer: 1406.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16 (base 11) to base 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 31*l - 8. Let b be g(2). Calculate the highest common divisor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1\/2*o**4 + 0 + 3\/2*o**2 + 0*o**3 = 0. What is o?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -223 - -219. Let u(x) = -94*x - 4. Let c be u(w). What is the highest common divisor of 12 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 40 (b) -4\/15 (c) 4 (d) 0.1 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5*g - 1. Let h be b(-1). Let d(c) = -15*c**2 + 91*c - 120. Let z be d(4). Solve 8 = -h*s - z*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1777141980 - 1777141638.9999409. Let s = -341 + z. Round s to 6 decimal places.\nAnswer: 0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 91 - 39. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - u. Let w be 8 + 2\/(-2) + -2. Suppose 5*p = -2*m + 51, 3*p + w*m - 5 = 18. Suppose -3*d + 2*z + 7 = 0, 0*d + 3*z = 5*d - p. What is i(d)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 + -42. Solve 5*q + 3 + c = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294874 is divided by 3202?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (64\/5)\/(580\/1450). Calculate the highest common divisor of a and 624.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2176\/7 - -311. Let x = 0.6 + -0.2. Which is the closest to g? (a) -2\/9 (b) -3\/4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3989?\nAnswer: 3989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from txxooxkoxto. Give prob of sequence tokx.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -9*p**2 + 14*p + 13. Determine v(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 13, i: 1, h: 3}. What is prob of picking 2 h?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*t - 5, 10 = -g - 5*t + 27. Let b(h) be the first derivative of 0*h + 0*h**2 - g + 2\/3*h**3. Let u(n) = 2*n. What is u(b(w))?\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 - 3 = -4*p - 3*w, 4*p - 2*w = 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 213298333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3173224, -6346451, -9519678, -12692905?\n\"Answer: -3173227*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 615997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*j - 10*j - v + 9, -5*j + 4*v = 2. Find the third derivative of 15*f**5 - 109 - 3*f**j + f**6 - 87 + 214 wrt f.\nAnswer: 120*f**3 + 900*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o**2 - 2*o**2 - 14*o**2 + o**2.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2 + 3*a + 5. Let c(k) = -4*k**2 + 3*k + 6. Let i(z) = -5*c(z) + 6*q(z). Let g(f) = -5*f**2 + 4*f. Give -3*g(p) + 4*i(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y - 7*y - 2*y. Suppose 2*i + 5*m = 9, -5*i - 4*m + 6 = -4*i. Let l(n) = -2*n**2 + 4*n**2 - n**i. What is l(b(j))?\nAnswer: 64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 148 and 4.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1167, -1072, -951, -792, -583, -312, 33, 464?\nAnswer: 993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/12 - (532\/(-12) - -7). Suppose -3*o + 6*o = d + 3, -o - 4*d + 14 = 0. Suppose -o*z = -267 + 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 divisor of 1050 and 2518950.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -484*a + 4*u = -480*a + 4, -4*u = 14*a + 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 21\/2, 3, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -3989637?\nAnswer: 3989636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022021222001 - -110211?\nAnswer: 1022022102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -94?\nAnswer: 8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**2 + 21*v + 232 = 0. Calculate v.\nAnswer: -8, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(3\/2)*x*x**(3\/7)\/x*x assuming x is positive.\nAnswer: x**(55\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4\/2 - 29*q**3 - 897*q**2\/2 - 812*q - 392.\nAnswer: -(q + 1)**2*(q + 28)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 3*z + 13 = 0, 3*z - 11 = u - 3*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -11.9, -2, -1 in decreasing order.\nAnswer: -1, -2, -11.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w**2 + 49*w - 13. Let a(t) = -t**2 + 2. Give 6*a(l) + h(l).\nAnswer: -2*l**2 + 49*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 5*c + 20, 87450 - 87418 = 4*u + 4*c for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 7*v + 7. Let n(l) = 4*l + 3. Calculate -5*n(b) + 3*y(b).\nAnswer: b + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (19\/(-114))\/(6\/(-6120)*2). Solve -t*x + 88 = -107*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 14*h**2 + 12*h. Let s be n(-15). Let b = 78 - s. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/7990 and -169\/121379286.\nAnswer: 606896430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1149080893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -15. Let g(f) be the first derivative of 1\/4*f**4 - v + f**2 + 0*f**3 + 0*f. Find the second derivative of g(t) wrt t.\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13541 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*o**4 + 10 - 127*o**4 - o + 179*o**4 + o**3 - 13*o**2 to l*o**2 + u*o**4 + i*o**3 + x*o + m and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -87998.892+-164\nAnswer: -88162.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2*q + 3)*(-15 - 22 - 5) to the form c*q + v and give c.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2959977 nanoseconds to minutes.\nAnswer: 0.000000000004933295","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2471.4 rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 15145730 to the nearest ten thousand.\nAnswer: 15150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -32.1. What is v rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -12 - 60\/(-42)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 19 - 16 = 2*u, -u - 3*s = 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143 = -4*t + 189. Let s(o) = -2*o. Let y be s(-2). Suppose y*v + 27 = t. What is the remainder when 26 is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4065?\nAnswer: 3, 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4151 + 7064?\nAnswer: 2a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 289 is divided by 67?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1*-101961.09\nAnswer: -101961.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -24084 divided by 9\nAnswer: -2676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -161*r - 963. Calculate j(-5).\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -213 - -357. Suppose 22*l - 16*l = q. Calculate the remainder when 46 is divided by l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(9)\/sqrt(3) - sqrt(3)) + -5 + 4 + -2)*2*-2)**2.\nAnswer: 192*sqrt(3) + 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 2*l - 5*j = 497, j = l - 124. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((1\/4)\/((-12)\/16))\/((-12)\/180). Which is the third biggest value? (a) 0.03 (b) t (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110226.\nAnswer: 2, 3, 18371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*x - 2*x**2 - 2*x**2 - 4*x - 4*x.\nAnswer: -4*x**2 - 23*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 126 = 100*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3471 is divided by 342.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 931 (b) 4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/18 or 1925.17?\nAnswer: 1925.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(-3 - 225*b**2 + 223*b**2 - b**4 - b**4).\nAnswer: 2*b**4 + 2*b**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by -23912\nAnswer: 103\/23912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 4:21 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -26*w**2 + 28*w**2 - w**3 - 2*w + 2 - w**3 to a*w**2 + u*w + m + d*w**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z - 4. Let k(y) = -8*y + 11. Let d(q) = 4*k(q) + 11*n(q). Let h(m) be the second derivative of 0*m**2 + 0 + m + 1\/3*m**3. Calculate d(h(w)).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w - 1. Let z be (64\/10)\/(34\/85). Suppose 8 + z = -4*f. What is n(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-1\/6)*(f\/(((f\/(f*(f\/((f**8\/f)\/f))\/f))\/f)\/f))\/f*f**11\/f*f**7 assuming f is positive.\nAnswer: f**(85\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.27 and -0.621.\nAnswer: -0.16767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000088654 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2729*b**2 - 13*b + 37. Is w(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.39 - 0.13. Let k = j + -0.76. Which is the third smallest value? (a) k (b) -3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1426925292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -3*h**5 - 139*h**4\/6 - h - 39. Find the third derivative of q(j) wrt j.\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 - -52. Suppose 5*s - 21668 = -a*p - p, 0 = -4*s + 5*p + 17327. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-24)\/4)\/((-3)\/154)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kpyyydpykkykukkkdd. What is prob of picking 1 p and 1 d?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3500.23 + 3516. Let b = q + -16. Round b to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85213781189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/650228306 + -360481928207\/98509588359. Let y = o - -5\/303. Find the common denominator of -31\/6 and y.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 15. Let c be (21\/12 - 1)*16\/a. Solve c - 5 = -2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)*-2 + sqrt(78))*3 - sqrt(78) - sqrt(78))\/(sqrt(6) - sqrt(768)\/sqrt(8)).\nAnswer: 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 1954 = -5*i - 3*g, -4*g = 3*i - 1179. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = 14*m - 309. Calculate the highest common divisor of 8 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -45\/392 and -117\/3920.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 3, -1, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -458.66947 rounded to the nearest ten?\nAnswer: -460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/56)\/3*8\/(-10).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1176137489 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32882 - 553. What is the hundreds digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 - 5. Let o(h) = 2*h - 3. Let q be o(i). Solve u + q = -0*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 360488*q**4 + 553254?\nAnswer: 1441952*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 647 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 18844 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3231207 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**3 - v**2 - v - 1. Let q be (48\/15)\/(147\/(-35) - -4). Let x = 15 + q. Determine k(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6162065 (base 9) in base 4?\nAnswer: 30202320002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 155 = -230. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1813 greater than 1796?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1419.1296 + 1419. Round i to 2 dps.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/6 (b) 3\/2 (c) -57125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 40 and 386369740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2440003 is divided by 2891?\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -5*o**2 + 14*o + 6. Let r(p) = 2*p**2 - 5*p - 2. Let s(m) = 8*r(m) + 3*v(m). Let n be (-162)\/39 - (-2)\/13. Let u be s(n). Solve 0*t - u = 5*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64067068 times -0.5?\nAnswer: -32033534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*b - 5 = d, 0 = 3*b - 3*d - 9. Suppose b*f - 84 = 2*j, f - 6*j - 36 = -7*j. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 0.259?\nAnswer: -1.295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d. Let z(f) = -38405069*f. Determine z(p(l)).\nAnswer: -38405069*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 3*l - 24 = 0. Let r(s) = -l*s + 14 + 4*s**2 - 5*s - 3*s**2. What is the units digit of r(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7138, 14284, 21440, 28612, 35806, 43028, 50284?\nAnswer: 57580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61637285?\nAnswer: 5, 12327457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 4*u**2 - 60*u - 1. Give j(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3302001 equal to -3302036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/7 - (-1)\/((-14)\/36)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 8:15 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (70\/(-15))\/(12\/(-18)). Solve -i*x - 1 = 20 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23.75 - 21.75. Let r = -10 + -13. Which is bigger: r or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1594575020?\nAnswer: 2, 5, 43, 1854157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-371)\/(-371)*4\/3)\/(2\/51).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 229155\/2 - 114577. Solve x - g*x**2 - 1\/2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 34*z + 102. Calculate the remainder when q(-24) is divided by 138.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 + 0)*(-16 - 50 + 0)*(-2*i**2 - i**2 + 5*i**2).\nAnswer: -660*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/9)*g)**(-36))**32*(g*g**0*g*g**(-5))**(1\/11) assuming g is positive.\nAnswer: g**(-22531\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:14 AM and 3:28 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xccxfapf. What is prob of sequence xc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 158\/(4*231\/22)*21.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**3\/6 + 11*n**2\/2 + 7*n. Let t be d(11). Solve -3\/4*b**4 + 0 - 3\/4*b**3 + 0*b**2 + t*b = 0 for b.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 1 = 2*k - 2, 3*t - 7 = k. Suppose -2*f + 5 = -5. Suppose f*x = -4 - 11. Sort -4, x, k in increasing order.\nAnswer: -4, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(6) - (sqrt(6)*-2*-4 - sqrt(6)) - sqrt(6))\/(sqrt(75) - (sqrt(75)*-1 - sqrt(75))) + (sqrt(4)\/sqrt(32) - sqrt(4)\/sqrt(8))) + -3)**2.\nAnswer: -43*sqrt(2)\/10 + 18049\/1800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 0*w = 14. Suppose -w*h - 4*q + 24 = 0, -2*q - 24 = -5*h - 0*h. Calculate the least common multiple of h and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 + 51. What is the third biggest value in f, 5, -4, -5\/11?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1815 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3111 (base 5) in base 11?\nAnswer: -33a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4695)\/(-4)*(-2)\/5. Let u = -1397\/3 - d. Let s = -4\/3 + u. Which is bigger: s or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -100 - 593. Suppose k*t - 68*t = -40. Let j be t - (12\/10)\/(9\/(-30)). Solve -6*x + j = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -495, -780, -743, -222, 945?\n\"Answer: 27*a**3 - a**2 - 471*a - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 3*y + 0 - 2*y**2 - 5\/24*y**4 + 0*y**3. Let d(a) = 6*a. Give d(f(g)).\nAnswer: -30*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 7*r - 11. Let s be g(-7). Let i be (-2)\/(-11) + (13\/s - 0). Let j be 4\/2*i\/83. Is 1 at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2)*a*a\/((a*a**6\/a*a)\/a)*a\/(a*a**(4\/3))*a\/((a*a**0)\/a))\/((a**(2\/9)*a**(-3))\/(a**(-3\/2)*a*a*a**(-2\/5))) assuming a is positive.\nAnswer: a**(-43\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 137 + -60. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6641 + -6554. What is the remainder when 107 is divided by g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 943 + -391. Let t = u - 374. Does 7 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 253*x**3 + 0*x + 0*x - 205*x**3 - 26 - 65*x**3.\nAnswer: -17*x**3 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/5 of a microgram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1198 - 1199. Which is the fourth biggest value? (a) 1 (b) 2\/7 (c) l (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2 = -4. Find the common denominator of 16\/7 and l\/3*(-621)\/(-45).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xs when two letters picked without replacement from pxsxsspx.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 8*m**2 + 20*m + 3. Let f be i(10). Solve 4*v + 8 = -f*r, -2*r - 6*v = -4*v + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 PM and 2:14 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = -4*i. Suppose -4*r - 3*t + 5*t = 12, i*r + t + 2 = 0. Suppose 0 = -7*x + 12*x - 5. Sort x, -4, r, -5 in ascending order.\nAnswer: -5, -4, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -204245 times 189.4\nAnswer: -38684003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1800 and 694269.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, x: 4, q: 2}. What is prob of picking 3 t and 1 q?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 179 is divided by 90?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -410*v**2 - 289*v**2 - 92*v**2 - 13*v**2 + 118*v**2.\nAnswer: -686*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vwvwwwwwwwfvowovqw. What is prob of picking 1 o, 1 q, and 1 v?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 37 - 25 - -3*(-3 + 2). Let s(r) = -r**3 + 9*r**2 + 13*r - 17. Calculate the lowest common multiple of s(c) and 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1622163.\nAnswer: 3, 19, 149, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -50 - (-12 - -31)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15050)\/490)\/(615\/1722)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (1 - -10) - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-87)\/6*6)\/((488\/3904)\/(2\/16))\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - -11. Calculate the remainder when m is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 11) to base 13\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m. Let y(u) = 0*u + 21*u - 6*u + 8*u**2 - 11 - 15*u. Determine y(b(v)).\nAnswer: 32*v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.017 (b) -2\/11 (c) -7\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bppb when four letters picked without replacement from {p: 2, b: 9}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -1. Let r(i) = -19*i + 7. Let o(c) = -c**3 - 40*c**2 - 70*c + 226. Let t be o(-38). What is t*r(b) - 14*x(b)?\nAnswer: 38*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-2)\/(-10))*(-4)\/(-16)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -0*y - f - 1, -3*f = 3*y + 3. Let k be (y + 9\/(-2))*-22. What are the prime factors of (k\/6)\/(6\/4 - 1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-69)\/((-10764)\/(-208)))\/(-3*(-2)\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19694506*w - 19694501*w - 46 = -2*p, -p = 5*w - 43 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.83 + 3.\nAnswer: -11.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -765700 rounded to the nearest ten thousand?\nAnswer: -770000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 2. Let d(u) = -7*u**2 - 5*u - 5. Let c(z) = -8*z**2 + 4 - 4 - 6*z - 4 - 2. Let a(g) = -5*c(g) + 6*d(g). Determine v(a(k)).\nAnswer: -4*k**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -555 + 575. What is the remainder when v is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.23 - 0.43. Round m to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 16*t - 62. Let k(n) = -1. Let z(h) = -4*k(h) + s(h). Let c be z(-10). Solve -x = -2*x + o - 3, 5*o = -c*x + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 6. Suppose q = -a*q - 88. Let d = q + 59. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 4 + 3 - 5 + 0 + (3 - 4 + 0)*(1 + 0 - 2))*(-1 + 1 - 1)*(-5 + 10*x**2 + 5).\nAnswer: 20*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 72523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.016 - 0.274. Round p to 1 decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1141 is divided by 453.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -8, 3\/5, -4, 2\/15 in ascending order.\nAnswer: -8, -4, -0.4, 2\/15, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (110\/(-1925))\/(4\/(-14)) - 495\/(-25).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -32 + 53. Suppose -3*g + 18 = x. What is the tens digit of g\/(-3 + 744\/249)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 156\/47 (c) 4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 3. Let u be (-3 - -1)*(-10)\/(-4). Let p be r(u). What is the third derivative of 3*c**p + 2*c - c - c + 2*c**4 wrt c?\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -159 + 169. Suppose -q*a + 16 = -2*a. Suppose p + 1 = 3. Solve -n + a + p = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 88366 is divided by 29163.\nAnswer: 877","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1431355, -1431394, -1431435, -1431478, -1431523?\n\"Answer: -f**2 - 36*f - 1431318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 153.5076009 to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h + 24 = 12*h. Calculate the remainder when 5 is divided by (-8)\/(-6) + (-4)\/h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/14 - 19\/(-252)) + (-2)\/8.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*b + 15 = 26*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -176*a**2 + 348*a**2 - 173*a**2. Let c(w) = 11*w**2 - 3. Let z(f) = 560*f**2 - 154. Let g(m) = 308*c(m) - 6*z(m). Determine g(b(d)).\nAnswer: 28*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*z**2 + 4*z - z - 2*z + (-1 - z + 1)*(0*z - z + 3*z).\nAnswer: 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 65 - 64.93. Round b to 2 dps.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 60\/1253 and -59\/154?\nAnswer: 27566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 226.6 + -226.8. Which is the closest to -1? (a) -20.8 (b) -1 (c) 4 (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 611b805 + -2?\nAnswer: 611b803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 340384529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4806.21 rounded to the nearest one hundred?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 6. Suppose -4*h + n = -3*h. What is the lowest common multiple of 6 and h?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 73410530?\nAnswer: 513873710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 67*w - 354. Let g be d(-60). Suppose -511 = -3*n + 5*s + 182, 0 = -4*n + s + 924. Calculate the highest common divisor of n and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 479 - 479 - 2*w. Let o(f) = 2*f + 45. Give o(x(g)).\nAnswer: -4*g + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6546*w + 693624 - 287772 for w.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:37 AM and 8:21 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**2 - 4*d - 6. Let n be p(-4). Let m(h) = 33*h**2 + h + 1. Let z be m(-1). Let u = n + z. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 + 0.4. Let q = y + -0.1. Let g = -367.1 - -367. Sort q, -4, g in decreasing order.\nAnswer: q, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5 + 126*r**4 + 5103*r**3 - 5226*r**2 = 0. Calculate r.\nAnswer: -26, 0, 1, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5247086*c**2*h**3*t**3 - 2*c**2*h**2*t**3 - 353*c**2*h**2 - 3*c**2*h*t**3 - c*h**2*t + 5*c*h*t**2 - 163*c*t - 2*h*t**2 wrt h?\nAnswer: -31482516*c**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-10)\/25 + (-4)\/(-35). Let r = -0.07 - -0.37. Let a = 0.1 - r. What is the closest to t in -0.3, -2, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16994.05ml in litres?\nAnswer: 16.99405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22a41 (base 12) in base 6?\nAnswer: 554521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 324\/(-144) - (-1452)\/176\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 12 = w + 4*l, -3*l + 3 = 0. Let x(t) = 5*t + 3. Let s(g) = -14*g - 8. Let m(f) = w*x(f) + 3*s(f). Let u(y) = 5*y. What is m(u(r))?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -26*n**3 - 2*n**2 - 14*n + 13. Let y(b) = -12*b**3 - b**2 - 8*b + 6. Give -4*f(o) + 9*y(o).\nAnswer: -4*o**3 - o**2 - 16*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 AM and 11:05 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -15*s**3 - 26. Let y(q) = 6*q**2. Determine y(m(k)).\nAnswer: 12150*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7d (base 15) to base 4\nAnswer: 1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(-j + 0*j + 0*j) + 2 - j + 0*j + 7.\nAnswer: j + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -636*m**3 - 4346*m**4 - 822*m**3 + 1458*m**3 - 737 wrt m?\nAnswer: -17384*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y**3 + 8*y**3 - 12*y**3 + 6 + y**3 + y + 52*y**2 - 4*y**3 in the form r + w*y**3 + j*y + g*y**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 65310*l - 914341. Give y(14).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 8*v - 8. What is i(-4)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -96, -94, -92, -90?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11331\/(1\/((7 - 1) + -3)).\nAnswer: 3, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 86517465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 0 - 1\/7*w - 1\/7*w**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and 6427.\nAnswer: 6427.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -29*w - 630. Calculate the least common multiple of 99 and i(-24).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-8\/5)\/(y**(3\/11)\/y*y*y))\/((y\/y**33*y)\/y*y*y**8\/y))**(7\/10) assuming y is positive.\nAnswer: y**(4067\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 72.3011 years?\nAnswer: 0.0723011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4053 and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 m, and 1 d when three letters picked without replacement from {m: 1, r: 1, a: 1, d: 1, k: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 11*r + 13. Let k(z) = 2*z**3 - 40*z**2 + 37*z + 6. Let n be k(19). Let b be g(n). Calculate the greatest common factor of b and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - 4*r + 0 + r**2 - 2)*(-6*r + 6 - 6).\nAnswer: 12*r**3 + 24*r**2 + 12*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27 - -29. Solve 0*c + l = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16573, 33096, 49619?\n\"Answer: 16523*f + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 26)*-1 + -1. Let w be (-10)\/25 + l\/(-5). Suppose t - w*m = -7, -3*t - 9 = -3*m - 0*m. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4065\/17 - -239. Let j be 6\/(-4)*(-20)\/6. Suppose -12 = -j*v - 4*u, -1 - 5 = v - 2*u. What is the closest to v in 0, o, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 10:17 AM?\nAnswer: 12:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uueuuuwuuuugewuuuuu. What is prob of sequence eug?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 32068*w**3 - w**2 + 232 - 32289*w**3 + w**2 wrt w?\nAnswer: -663*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.19375872 to two decimal places.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65492*p**3 - 69*p - 65482*p**3 - 57*p + 126*p.\nAnswer: 10*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2947*u - 2947*u - 16*u**2)*(-7*u - u**3 + 7*u - u**3 + 3*u - 3*u + 2*u**3 + 2*u**3 - u**3 - u**3 + 0*u**3 + 0*u**3 + (-3*u - u**3 + 3*u)*(2 - 6 + 2)).\nAnswer: -32*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 247 + 29. Let b = o + -30. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 232743676 to the nearest 100000.\nAnswer: 232700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 7:34 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) -17 (b) 2\/15 (c) 0.3 (d) -12 (e) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4*l - 78 = 0. Suppose -3*a = -l + 6. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/53 (b) -4837 (c) -0.1 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 7 - 75958*l**3 - 6.\nAnswer: -75958*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -169 + 188. Suppose -u + r = -42. What are the prime factors of u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3648*l**2 + 1760*l**2 + 1895*l**2.\nAnswer: 7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -51431032, -205724134, -462879304, -822896542, -1285775848, -1851517222?\n\"Answer: -51431034*k**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4249 + -4243. Solve s*w = 24 - 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-47))**(-3\/25)*v*v**(-4)\/v*v*v**(-4)*v*(v**(-1))**(-2\/65) assuming v is positive.\nAnswer: v**(-3773\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4514?\nAnswer: 2, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 + 9*c**3 + 0*c**3 - 1 + 23*c**3 + 0*c**2. What is the remainder when m(1) is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, k: 9, h: 4}. Give prob of picking 1 k and 3 h.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.9 * 98.\nAnswer: -480.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 2:56 PM?\nAnswer: 2:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9775 + -9764. Solve -w*j + 1 = -12*j + s, -1 = -j - s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + -5 - (1 + -11 - -10)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 24143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.05, 206, -5, 0.4, 6, 2 in decreasing order.\nAnswer: 206, 6, 2, 0.4, 0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-253)\/(-5060) + (-478)\/(-40).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 15, 0, 1, -12 in increasing order.\nAnswer: -12, 0, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 295549 by -337.\nAnswer: -877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124 = -0*f - f. Find the common denominator of (-7)\/(-126)*(0 - f) and 63\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 w, and 1 b when three letters picked without replacement from vbzxwqx?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t + 169 + 22 = -244 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 21) + 76 + -46.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 656, 811, 1072, 1439, 1912, 2491, 3176?\nAnswer: 3967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 18325, 73394, 165203, 293752?\n\"Answer: 18370*g**2 - 41*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbbxbbxbbbxbxbxxb. What is prob of picking 3 x?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of k**4\/12 + 8*k. Let m(o) = 3*o. Calculate m(j(h)).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288) - (sqrt(288) - -5*(-1*sqrt(288))**2)) + -2.\nAnswer: -1442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -175*j**4 + 127 + 191 + 1687*j**4 - 236*j**4 + 91 wrt j.\nAnswer: 5104*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4265 + 4260 + 4211 - 17041 - 2*m + 4256.\nAnswer: -2*m - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16838947 and 8759?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -310\/9 = -35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) - (sqrt(396) + (3*(sqrt(396)*1 + sqrt(396)) + sqrt(396) + sqrt(396) + sqrt(396) - sqrt(396)))) + 0 + 3)**2.\nAnswer: -288*sqrt(11) + 25353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 10*z + 23. Let j be y(11). Is 15 a factor of j\/(-18) - 1534\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -4*r + 3. Let q(p) = p - 1. Let b = -208 - -207. Let n be (0 + 1 + -1)\/(-2). Let c be (n + 5)*(b + 3\/(-15)). Give c*q(h) - 2*m(h).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 982 - -218. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 3:50 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2*j + 18, -16 = -30*j + 28*j - 4*x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of -t**4\/10 + 2*t**3\/15 + 20. Factor r(u).\nAnswer: -2*u**2*(u - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16371 and -0.2.\nAnswer: -3274.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 8671548 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, h: 1, a: 2}. Give prob of sequence hfa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11298)\/(-3770) + 3 + 170 + -176. Are -1 and l non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6310 or 195584\/31?\nAnswer: 6310","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/7 (b) 1.457 (c) -16 (d) 5 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 112218151 to the power of 1\/2, to the nearest integer?\nAnswer: 10593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a hour in seconds?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 204923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9970378, -9970379, -9970378, -9970375?\n\"Answer: t**2 - 4*t - 9970375","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (55*o + 2*o + 19*o)*(o - 2 - 4*o + 4*o).\nAnswer: 76*o**2 - 152*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -5221.\nAnswer: 1566.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 65 = -5*h. Let t = 18 + h. Is (-6)\/((-12)\/t)*394 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22160541 a multiple of 1199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -14*o**2 + 206*o + 91. Give b(15).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33759485049 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/46 and 95\/1702?\nAnswer: 1702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -5618.\nAnswer: 13\/2809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 85600 a multiple of 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5226452 and 6958?\nAnswer: 994","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - (-3470)\/(-175)) + 4*(7 - (-100)\/(-14))?\nAnswer: -22\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32844 and 2676.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10224.9 + -10225.097274. Let u = 0.197 + n. Round u to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29079040.\nAnswer: 2, 5, 37, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -102129 and 5.\nAnswer: -102124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(5\/4)*s**(-12)*(s\/s**(2\/79))\/s**(-24) assuming s is positive.\nAnswer: s**(4495\/316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 378884029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 3:54 PM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2779*g. Let r(i) = -2*i + 251. Give r(x(m)).\nAnswer: 5558*m + 251","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 9:17 PM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-12\/11))\/k*k**(3\/10) assuming k is positive.\nAnswer: k**(153\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5966 and 76?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1 + (0 - 3 + 22)*(-4 + 3 - 1)*(4 + 3 - 4))*(-3*c - 26 + 26).\nAnswer: 339*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**4\/3 + 159*d**3 - 6365*d**2 - 39617*d\/3 - 6682 = 0.\nAnswer: -514, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3413586252.\nAnswer: 2, 3, 284465521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 5)*(3*w - 2*w + 2*w) - 7*w - 8*w + 8*w.\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = l + 3*g, l + 26 = 3*g + 138. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 4*n - 4. Let f be k(5). Let u be (-58)\/2*1 - f. Let o be u\/9*6\/5. Sort 5, o, 4 in ascending order.\nAnswer: o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*n**2*p - 88*n**2 + 242*n*p + 3*n with respect to p.\nAnswer: 3*n**2 + 242*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -5. Let t = -0.3 - -2.3. Put 5, t, j in decreasing order.\nAnswer: 5, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*d - 11*d**2 - 19365 + 8*d - 9499 - 5*d - 8*d.\nAnswer: -11*d**2 - 2*d - 28864","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -2.3 (b) 2\/9 (c) -0.23 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 29241 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 1. Let t(r) = -3*r + 5. Let d(a) = a**3 - 420*a - 14*a**2 + 4 + 420*a. Let s be d(14). Calculate s*w(q) - t(q).\nAnswer: -q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 34?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 j when three letters picked without replacement from {m: 3, c: 1, l: 13, j: 1}.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 - 10*s - 19. Let p = -30 - -43. What is the lowest common multiple of l(p) and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 3*k - 6 = 0. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 + 3. Let f(x) = -94*x - 5. Let d(o) = -19*o - 1. Let h(t) = 22*d(t) - 4*f(t). Is 12 a factor of h(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 30255 (b) 0.4 (c) -24 (d) -0.02 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}