diff --git "a/data/dm_maths/full_data/9913_11255.jsonl" "b/data/dm_maths/full_data/9913_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/9913_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Suppose 5 = 19*n - 24*n. Let f be (-1)\/(n - 4 - -7). Suppose -5*u - d = -u - 34, 5 = u + 2*d. What is the fourth smallest value in 4, f, 3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2*k - 14 = 0, 3*s - k - 1 = -2*k. Suppose -s - 2 = -p. Let b = 6 + -2. Is p less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/((12\/9)\/2). What is the smallest value in 0.08, m, 0.2?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -66619 by -7.\nAnswer: 9517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.6 - -3. Let p be (-2)\/((-18)\/3*1\/(-4)). Put p, 0, r in descending order.\nAnswer: r, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2504250 (base 6) to base 8.\nAnswer: -404046","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10314295*f**2 + 348430624 with respect to f.\nAnswer: 20628590*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/3 - 628*x**2 + 2528*x - 7600\/3.\nAnswer: -4*(x - 2)**2*(x + 475)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65021, -65088, -65199, -65354, -65553, -65796?\nAnswer: -66083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (20 - 82 + 33)*(0*h - h + 0*h) in the form k*h + u and give k.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) -0.1 (c) -0.16 (d) -1 (e) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of -o**6\/360 - o**5\/40 - o**4\/12 - o**3\/3 - 3*o. Let a(p) be the second derivative of x(p). Factor a(l).\nAnswer: -(l + 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 17832?\nAnswer: 17832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44 - -47. Solve -f*t + 9 = -0*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0151 to three decimal places.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -4427276134.\nAnswer: -4427276136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8399351 - -45?\nAnswer: -8399306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 - 372*y**3 - 4300*y**2 - 11004*y + 15680.\nAnswer: -4*(y - 1)*(y + 7)**2*(y + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -d + 8. Suppose 0 = 5*b - d*b + 3*p, -20 = -b + 3*p. Suppose b*o - o = -5*r + 56, 2*r + 10 = 2*o. Solve -t + o = 2*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from ttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 times -0.2?\nAnswer: -91.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*x - 18. Let d be (-32)\/6 - (-3)\/x. Let c = 10 + d. Solve c*s - 22 = 2*y, -6 = -2*s + s + 2*y for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -8*j**4 + 14*j**3 + 11*j. Let t(w) = 3*w**4 - 5*w**3 - 4*w. Suppose 0 = h - 0*h + 4. Let g(a) = h*l(a) - 11*t(a). Factor g(p).\nAnswer: -p**3*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*w + 241329260 = 11690814, b = w - 114819211. Let v = 76413151 + b. Let m = v - -23506064. Round m to the nearest 1000000.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 49\/5 (b) 2\/3 (c) -2\/7 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4175 divided by 835?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 25*p + 29*p - 37412 = 0, -a = -p - 9347. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/189 + 120\/(-21) + 6.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8860, -8853, -8846, -8839?\n\"Answer: 7*y - 8867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 9:13 AM?\nAnswer: 8:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 702 = 2*l, -2*x - 347 = -3*x - 3*l. Is x a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -12 + 36 + -15 + 0?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 11:41 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1671, -6695, -15073, -26799, -41867, -60271, -82005?\nAnswer: -107063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2834 and -2.91.\nAnswer: -2836.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 1048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 8*z**2 + 1931*z - 13492. Calculate l(7).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 14 = q, -3*q - u - 3*u + 46 = 0. List the prime factors of q\/30 - 568\/(-6).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -1\/10*z**5 + 0*z**4 + 0*z**3 + z**2 + 3*z + 0. Differentiate k(d) wrt d.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*r = -p + 8, 5*r - 43 = -4*p. Suppose -4*l + 24 - 8 = 0, -d - p = -5*l. Solve d*a + 6 = 5*z - 2*z, z + 10 = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + 21 + (-16 - (2 + -6))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4801 (base 9) to base 5.\nAnswer: 103230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 2*f**2 - 6*f - 6. Suppose 4*s - 116 = 108. Suppose -12*k = s + 4. List the prime factors of t(k).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5941, 12033, 18157, 24325, 30549, 36841, 43213?\nAnswer: 49677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 422 and 423 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3527.944t to kilograms.\nAnswer: 3527944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - s**2 + 8*s - 6. Let x be t(-7). Suppose -h - o = -45, h - 6*h + x = -2*o. Calculate the remainder when h is divided by (-18)\/(-8)*48\/9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/39 - 6\/39. Suppose -660 = -5*k - 0*k. Let s be 3 - (k\/28 - 2). Which is the second biggest value? (a) u (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7741880 divided by -40.\nAnswer: -193547","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 5*f = -5*b - 1195, -5*b = -2*f + 1502. Let x = -295 - b. Solve -r = -0*r - 2*s + 1, x*r + 5*s + 20 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(175)\/sqrt(112))\/(3*(sqrt(500) - (sqrt(500)*2 - sqrt(500) - sqrt(500)) - sqrt(500) - sqrt(5))).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q = -16*q - 480. What is the remainder when 237 is divided by q?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 4 = 4*l - 16, -5*l + 2*b = -25. Let f be (-3)\/(-3) + 3\/(-2). What is the nearest to f in l, -1\/5, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(3\/8))**(5\/2) assuming m is positive.\nAnswer: m**(15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -148352 divided by 2318\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -164, -4\/7, 1\/2943, -1\/5 in ascending order.\nAnswer: -164, -4\/7, -1\/5, 1\/2943","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s**3 + 15*s**2 + 4*s - 21. Let q(v) = -4*v**3 - 14*v**2 - 5*v + 20. Let c(j) = 4*q(j) + 3*t(j). Let m be c(-10). Sort 6, -4, m.\nAnswer: -4, m, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*l**5 - 210906*l**4 + 12228500*l**2.\nAnswer: -2220*l**2 - 5061744*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11717118 to the power of 1\/3, to the nearest integer?\nAnswer: 227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -j**7\/840 - j**6\/180 + j**5\/20 + j**4\/24 - 19*j**3\/6 + 13*j. Let b(m) be the second derivative of u(m). Give b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 403297?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/88 and 95\/864.\nAnswer: 9504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1283728 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6727\/(-174902) + (-1558)\/52?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4146.2365 to the nearest ten.\nAnswer: -4150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 151449435 a multiple of 3240?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d + 36 = -2*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 10*l**2 + 8*l - 7. Let k be (-38)\/57 + 1 + 28\/6. Is t(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -f + 15, 0 = -o + 3*f - 19. Let u(g) = 3*g - 9. Let i(y) = y**2 - 8*y - 19. Let x be i(10). Let j(b) = -7 + 3 + b + x. Give o*u(c) + 11*j(c).\nAnswer: -c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 273 and 34182804?\nAnswer: 34182531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 1 = 11. Let p(o) = 12*o**2 + 3*o - 1. Let j(r) = -8*r**2 - 2*r + 1. What is n*p(v) + 7*j(v)?\nAnswer: 4*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y - 77. What is g(8)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/3)\/(210\/28)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 25516067, 51032139, 76548207, 102064271, 127580331, 153096387, 178612439?\n\"Answer: -2*n**2 + 25516078*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8349818, 8349816, 8349814, 8349812?\nAnswer: 8349810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 5*x - 47, -5*g + 2 = -5*x - 143. Let a be 0\/(-1) + (-18)\/g. Let q = 2\/63 - 16\/63. Put a, q, -3 in ascending order.\nAnswer: -3, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 326*w**2 + 1342*w**2 - 471*w**2.\nAnswer: 1197*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes before 9:56 PM?\nAnswer: 5:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12080\/(-3624)*9*4\/(-2010)?\nAnswer: 4\/67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-6)*2220\/4662*-9*3\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -690*d = -683*d - 735. Suppose 15 - d = -2*a. Is 3 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -26\/19, -7, 1\/10, 1, 9 in descending order.\nAnswer: 9, 1, 1\/10, -26\/19, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/14580 and -23\/162.\nAnswer: 14580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 40*g**3\/3 + 2*g**2 - g. Let a be f(9). Let z = a - 461. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 - 8. Let w(z) = 5*z**2 + 13. Let f(t) = -8*k(t) - 5*w(t). Determine f(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5352 + 12216. Suppose 0 = 7*c - 18*c + y. List the prime factors of c.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 0*j + 3*t + 2233, -5*j - 5*t + 2765 = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/10 and 64\/207.\nAnswer: 2070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -961\/4 - -963\/4. Let s(h) be the first derivative of -x*h**2 + 12*h - 3. What is s(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -936 and 17.\nAnswer: -919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 5\/3, 0.2, -0.1, 0.5?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 3*b - 34. Let c be a(17). Suppose -4*w + 79 = -c. What is the greatest common divisor of 60 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -33746\nAnswer: -134984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13318 - (429\/(-55) - (-4)\/5)?\nAnswer: 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2.964. Let v = 0.164 - u. Which is the second smallest value? (a) -5 (b) -3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22304?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y*y**(-13)*y*(y*y*y**(-17)\/y)\/y assuming y is positive.\nAnswer: y**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 14*f + 11. Let b be v(10). Let q = b + -14. Is 37 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - t + t)*(3*t**2 + 1 - 1)*(-4*t - 2 + 2).\nAnswer: -60*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.031535 rounded to three dps?\nAnswer: 2.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011123 (base 4) to base 7.\nAnswer: 114502","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 698, -2, -5, 3, 4 in descending order.\nAnswer: 698, 4, 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h - 43. Let s be r(-9). Let q = s + 91. Calculate the smallest common multiple of q and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05986635 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 953.2938 minutes in nanoseconds?\nAnswer: 57197628000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -0.57\nAnswer: -7.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.08 + -0.62. What is g rounded to one decimal place?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 132 = 2. Suppose v + 4*i + d = 0, 0*v - 2*v - 2*i = 22. Let c(z) = 3 - 2*z - 69 + 61. Give c(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/11 (b) -0.3 (c) -18\/25 (d) 97\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 20 = c, 30 = -5*c + i - 0*i. Suppose -j - 3*j - 2*w + 60 = 0, j - 3*w = 1. Let b = j - 10. What is the third biggest value in -2, c, b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -419*a + 50285. What is y(120)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atj when three letters picked without replacement from {b: 3, a: 6, t: 4, j: 2}?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -7559\/870?\nAnswer: -7559\/870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20157173, 20157174, 20157175, 20157176, 20157177?\nAnswer: 20157178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 2. Let s be w(-2). Suppose -100 = -s*c + 3*x - 8*x, -2*c = 5*x - 60. What is the least common multiple of c and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 327 and 109.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 5*g + 2 = 12, 2*c - 4*g = -10. Suppose -c*a + 10 + 20 = 0. Suppose 0 = j - 1 - a. Solve 5*u = j + 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/42*2)\/(2\/(-2)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16782 + 3?\nAnswer: -1677f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) -2\/7 (c) -0.53 (d) -3 (e) -4 (f) -5 (g) -179\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2024\/(-1449))\/((-4)\/18) + (1 + -7)*1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 3*h**2 - 4*h - 19. What is i(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of 0 + 1\/9*u**3 + 1\/6*u**4 + 0*u**2 + 1\/10*u**5 + 1\/45*u**6 + 5*u. Factor m(d).\nAnswer: 2*d*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1500 (base 13) to base 3.\nAnswer: -11011200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9395 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/2 (b) -0.3 (c) 17 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-5)\/6 + (-1573)\/(-33) + -52.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -147\/1840 + 2\/115. Which is smaller: s or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-33)\/(-126)*(34 + -41).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -7*l - 4. Suppose z = 3*z + 12. Let s(a) = -7*a - 5. Let m = 12 + -7. Let h(t) = m*s(t) + z*b(t). Calculate h(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12077?\nAnswer: 13, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7750418 is divided by 319.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9 and 53.\nAnswer: -477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -30*o - 553 + 256. What is the smallest value in o, 2.1, -3\/4, 2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i*i**(-3))\/i)\/i*(i*i**(1\/17)*i)\/i)\/(i\/(i**(-6\/5)*i)*i*i**8*i))**(-1\/8) assuming i is positive.\nAnswer: i**(601\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 + 3285205*d**3 + 10792571892025*d**2 + 35455811142539990125*d\/3.\nAnswer: d*(d + 3285205)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/4 of a year in months?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2555*u - 2 + 6662*u + 10 - 1227*u - 1018*u to the form w + o*u and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4903 - -520c?\nAnswer: 9b10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 244630204?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -56020 and -3.483.\nAnswer: 195117.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 3:11 PM?\nAnswer: 8:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -629\nAnswer: 5\/629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 16*u**2 - 2*u + 2. Let p be h(-7). Let i be 11 + -2 - (23 + -18). What is the derivative of i + 4*j**3 + p*j**2 - 457*j**2 wrt j?\nAnswer: 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -103, -3\/4, 6\/5?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by ((-44)\/(-8))\/((-3)\/(-6)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 v, and 1 t when three letters picked without replacement from vmvzzmrt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13692 and 7?\nAnswer: 13692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/43684 and 19\/4.\nAnswer: 43684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 2*j = 8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -2, 6, -3\/31?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 401571513 divided by -44619057.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -11*s**3 + 580*s**2 + 7*s - 2. Let n(y) = -4*y**3 - y**2 + 2*y - 1. Calculate -3*n(t) + r(t).\nAnswer: t**3 + 583*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a6 (base 11) to base 14.\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 74481?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1275 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**2 + 1284425*g + 2568830 = 0?\nAnswer: -256883, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 597436.\nAnswer: 2, 7, 19, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21503 to two decimal places.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 21*w - 39. Let n be c(2). Let o(q) = -2*q**2 + 3*q - 4. Calculate o(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - 3*(-3 + sqrt(2)))**2 - (sqrt(2) + -3)*3.\nAnswer: -39*sqrt(2) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 9:18 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 79700834\/3 = 26566944?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, n: 7, p: 2}. Give prob of sequence fnf.\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*f = 0, -x = -4*x - f + 12. Suppose 3*z = x*w - 20, -5*w + 11 + 9 = z. Solve 4*s + 4*k = 0, z*s - 4*s = 3*k for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 290*h**4 + 98?\nAnswer: 1160*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*i = -38*i + 14*i - 1265 for i.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 140441222 (base 5) to base 7.\nAnswer: 6051130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l - 12. Let r be h(-8). Suppose -5*n - 5*c = 20, -r*n + 5*c - 21 = 4*c. Calculate the remainder when 103 is divided by ((-26)\/6)\/(n\/30).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 2*p + 5*i - 2, 4*i - 24 = 0. Which is the nearest to p? (a) -5 (b) -55 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uk when two letters picked without replacement from zzzuukkuuzzzzuuzzhuz.\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b - 2*b)*(2*b**2 - 2*b**2 + 2*b**2) - 5*b**3 + 41*b**3 - 20*b**3 - 5*b**2 - 6 + 2*b**3 + 6.\nAnswer: 14*b**3 - 5*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*r + 592 + 3*r + 620 + 1050*r**3 + 487*r**3 wrt r.\nAnswer: 4611*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - w**2 - 1. Suppose -5*m = 8 - 68. Let g(u) be the third derivative of 7*u**6\/60 + u**5\/5 + 2*u**3 - 35*u**2. Give m*d(h) + g(h).\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2. Let q(c) = -372*c**3 - 6*c**2. Determine -3*n(r) - q(r).\nAnswer: 372*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17924725*a**2 - 17553593*a?\nAnswer: 35849450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2348 and 105591908?\nAnswer: 2348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**4 + 115600*a**3 - 17960592*a**2 + 699513984*a.\nAnswer: -4*a*(a - 28744)*(a - 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.008589+-212066760\nAnswer: -212066759.991411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7144 is divided by 2381.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103.0050006 - 103.022. Let a = 0.017 + i. Round a to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-5.3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 162\/4 + (-4116)\/1176. Put 5, 3, x, 2, -18 in ascending order.\nAnswer: -18, 2, 3, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -3\/5, 2\/15, -3\/7, 5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j*j*(j*j\/j**(1\/3)*j)\/j*j)\/j))**(-2\/27)*j**(1\/4)\/j*j*j*(j\/j**(2\/15))\/j assuming j is positive.\nAnswer: j**(2129\/1620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30 - 18. Suppose 8*t = 5*t + i. Suppose 0 = s - 2*s + 3, -t*s = o - 42. What is the highest common factor of o and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3578, -3735, -4026, -4451, -5010?\n\"Answer: -67*w**2 + 44*w - 3555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9619\/14 + 115001\/168. Calculate the common denominator of q and (-94)\/(-35) + (-2)\/5.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 - 1114*f**2 - 6772*f - 137359. What is w(-1108)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1593 + 1933. Does 5 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/7020*36)\/(9\/3).\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) -0.6 (b) 0 (c) 3\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -19142924.29 to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 f when three letters picked without replacement from {k: 1, f: 4, h: 1, n: 1, a: 1}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000492?\nAnswer: 2, 250123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3451.03618 rounded to 0 dps?\nAnswer: -3451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 48 = 7*c. What is the first derivative of 28*d - c*d - 24*d - 54 wrt d?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 251 = -27*k. What is the greatest common divisor of 708 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2216.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 <= 294?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 655514 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 72 + 256 = -4*d, 3*d - 5*o = -244. Let x = d - -131. Is 24 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1844047 is divided by 650.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (144\/30)\/((-6)\/(-105)). Let v be (-2)\/6 + (-28)\/42 - -13. What is the highest common divisor of b and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62155 is divided by 10344?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 26. Let k be ((-18)\/x)\/((-7)\/35). Suppose -y + 7 = -2*i + 26, i - y = k. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28369 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**4 + 39*q**3 + 61*q**2 + 3*q. Let p(k) = -41*k**3 - 60*k**2 - 4*k. Let w(i) = 6*p(i) + 5*s(i). Factor w(j).\nAnswer: -j*(j + 1)*(j + 9)*(5*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the first derivative of -m**4\/12 - 3*m**3\/2 - 7*m**2\/2 + 91*m + 15. Let q(k) be the first derivative of c(k). Determine q(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4665584081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3271168164?\nAnswer: 2, 3, 11, 24781577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -138191330, -276382662, -414573994, -552765326, -690956658, -829147990?\nAnswer: -967339322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32.2 + 32. Let o = 2.5 + 0.5. Which is the nearest to 1\/3? (a) y (b) -3\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -13?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 159\/809956?\nAnswer: 159\/809956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.01 (b) 2 (c) -1 (d) -1046838\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -50882 divided by -50882\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 357597800 to the power of 1\/2, to the nearest integer?\nAnswer: 18910","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93 - 71. Let k = -17 + q. Solve -5*o = 4*t + 30, -t + 4*t - 5*o = -k for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.1. Let x = -11 + 10.89. Let q = x - -0.04. Which is bigger: q or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 15*a**2. Let x(h) = 75*h**2 + 25*h - 50. Let s(t) = -25*t**2 - 8*t + 16. Let b(g) = -25*s(g) - 8*x(g). What is b(p(v))?\nAnswer: 5625*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*g - 97 + 1 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/133 and -47\/24059.\nAnswer: 457121","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*((sqrt(252)\/sqrt(4))\/sqrt(9) + -4 + sqrt(7) + 1) - (sqrt(98)\/sqrt(2)*3)\/(sqrt(224)\/sqrt(2)))*-5)**2.\nAnswer: -825*sqrt(7)\/2 + 24775\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 726.1924 decades in millennia?\nAnswer: 7.261924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 e, and 1 j when three letters picked without replacement from {m: 1, j: 9, w: 2, t: 3, e: 2}.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5357.\nAnswer: 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/16 (b) -1\/3 (c) -106\/41 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2011*r = -3905*r - 157926 + 428964 + 385638 for r.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rap when three letters picked without replacement from {p: 7, r: 4, a: 7}?\nAnswer: 49\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 9*v + 18. Let r(k) = -k**2 + 15*k - 16. Let x be r(13). Let a be h(x). Let l be a\/12 + (-19)\/15. Put -1, l, -1\/6, 2\/7 in ascending order.\nAnswer: -1, l, -1\/6, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 6*v - v)*(6 - 3 - 4)*(-12 - 13 - 1).\nAnswer: 78*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 187 and 183 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -9 - 9. Suppose w*m + 580 = -80. Let a = m - -110. Let b(q) = q**2 + q - 10. Give b(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9632193 is divided by 252.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -729 - -729.1. Let q(n) = -n**3 + 4*n**2 - 4*n + 4. Let x be q(3). What is the second smallest value in x, -0.1, 2\/9, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 174244390 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i - 61. Let c be 3*((-70)\/(-6) - 1). Let s = c + -6. Calculate the remainder when s is divided by w(-25).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 1. Let g be y(5). Let j be (-69)\/(-15) + g\/(-10). Let o(b) = 2*b - 6. What is the units digit of o(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13852229 take away 1192.2266?\nAnswer: 13851036.7734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 5) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -2*y - 3*y. Suppose 3*j = 5*g - y - 31, 0 = 5*g + 3*j - 16. Let m = -55 - -54. Which is the closest to m? (a) -1 (b) g (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/9 + (-31 - 5 - 14064\/432).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 218380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8691132930?\nAnswer: 2, 3, 5, 289704431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 92208288.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1782284.847 rounded to the nearest one thousand?\nAnswer: 1782000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -135*x - 488. Give m(-5).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66*((-9)\/3)\/(-24)*4?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, -38, -1, 3, -52\/3, 1\/106, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 10*a**2 - 4*a - 28. Calculate the remainder when 32 is divided by w(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - (sqrt(119)*-1 + sqrt(119)))*-5)\/((sqrt(70)*-1)\/sqrt(10) - sqrt(7)) - (-5 + (-1*2*sqrt(136))\/sqrt(8)).\nAnswer: 5 + 9*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 178, 678, 1512, 2680, 4182, 6018?\n\"Answer: 167*j**2 - j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 2 - 2)*(5*m - 4*m - 3*m) + (-2*m**2 - 2 + 2)*(1 - 5 + 1).\nAnswer: 8*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 385*f - 5014. Determine z(21).\nAnswer: 3071","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 5*b - 33171, 2*w - 20*b = -18*b + 66390. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70.011 + 70. Sort 10, 1, q in increasing order.\nAnswer: q, 1, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -3*v - 8. Let a = v - 6. Let k be -6*((-141)\/(-45) + -3). Are k and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*b**2*s**3 - 1261*b**2*s**2 + 4*b**2*s - 7559*b*s**3 + 219*s**3 + 2*s + 118 wrt s.\nAnswer: 24*b**2 - 45354*b + 1314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -9642.4946 to the nearest one hundred.\nAnswer: -9600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14560)\/(-32))\/(-13)*1.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25? (a) 725 (b) 2\/5 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = 7368*r - 7409*r. Sort -3, 4, -121, r, 1 in increasing order.\nAnswer: -121, -3, 1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f**2. Let p(t) = -2*t - 48. Give u(p(y)).\nAnswer: 4*y**2 + 192*y + 2304","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 60.875 or -242?\nAnswer: -242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1217 - 1054) + -114 + -1\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 + 5*p**2 - 4*p + 1. Let s be n(4). Suppose g + 6 = 4*k, k - 4*g + 8 = g. What is the derivative of -2 + 1 - s - k*j wrt j?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5623 is divided by 5209.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -70 - -66. Let l be 1\/(4\/(d + 8)). Solve 0*j + l = j - z, 5*z - 35 = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - 1)*2 + -5 + 4. Which is greater: n or -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -145*v + 9. Let y(j) be the third derivative of j**5\/60 + 386*j**2. Give y(o(d)).\nAnswer: 21025*d**2 - 2610*d + 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - -2. Suppose 0 = 15*s - 25*s + 140. Suppose o + h = s. Calculate the smallest common multiple of o and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = -1, 125*c = -x + 130*c - 13 for x.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1648.948 micrometers in millimeters?\nAnswer: 1.648948","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -2*v + 38. Let c be i(17). Suppose -c*h - 27 + 47 = 0. Let b(p) = 7*p**3 + 4*p**2 - 8*p + 4. Is b(h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00907 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - 2*g + 2*g)*(399*g + 8588 - 8588) to the form f*g**2 + k*g + d and give f.\nAnswer: -399","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11100010101111011010010 + -11?\nAnswer: -11100010101111011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -150350 divided by -4\nAnswer: 75175\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 6*n - 2 + 6*n - 5*n. Let p(m) = -6*m + 1. Let w be -10 - (-14 - -8 - 7). What is w*y(s) + 4*p(s)?\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.17 - 0.24. Which is the third biggest value? (a) -0.1 (b) -4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 3\/2*d**4 - 11 + 0*d**2 + 0*d - 8\/3*d**3. What is the third derivative of z(j) wrt j?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28523283 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124 - 14?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 2*k + 4 + 146, -171 = -5*p + 3*k. Suppose -12 = p*a - 38*a. Let o(r) = -r**3 + 5*r**2 + 8*r. Calculate o(a).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 253.851 and 5?\nAnswer: 1269.255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -4*s**2 + 9*s - 9. Let j = 3 + 1. Let i(h) = h**2 - 2*h + 2. Let r(q) = j*c(q) + 18*i(q). Let t(o) = 2*o**2. Determine r(t(n)).\nAnswer: 8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 6 - 14. Let l(g) = 5*g**2 - 5*g**2 - 2*g**w. Let t(m) = 13*m + 3*m - 14*m. What is l(t(h))?\nAnswer: -8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4, -423, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 7*r**2 - 6*r - 2. Calculate j(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3088 + 6199. Does 17 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 260 - 127. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/105 and -17\/19129290?\nAnswer: 133905030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1628886721 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-5780)\/867*((-2)\/(-1) + 4)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -955910 divided by 85.\nAnswer: -11246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -2, -129, -0.3, -2666?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -4313*t**5\/30 - 3637*t**3\/6 + 3*t**2 - 779. Differentiate i(c) with respect to c.\nAnswer: -17252*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -20 in -21\/551, -1, 0.84, -5, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4870 - 7b?\nAnswer: -490b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6520619 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a**2 + 4*a + 5. Let u be i(5). Let o = -659 + 644. Let w = o - u. Calculate the remainder when w is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 0 - 53*q - 1\/6*q**3 + 0*q**2 + 1\/180*q**6 - 5\/72*q**4 + 1\/60*q**5. Factor s(u).\nAnswer: u*(u - 2)*(u + 1)*(u + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 283 - 284. Let b(g) = g - 3. Let m(z) = -z. Determine s*b(l) - 2*m(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 1:15 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 16*b + 5. Let q(r) = -3*r**2 + 16*r + 7. Calculate -4*i(z) + 3*q(z).\nAnswer: -z**2 - 16*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 37*h**2 + 37*h + 315. Calculate b(19).\nAnswer: 657","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-18)*(0\/2)\/(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*5*((sqrt(132)*-1)\/sqrt(3) + ((2*sqrt(132))\/sqrt(6))\/sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11014 + 12?\nAnswer: 11030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-203 + 128 - 275)*(-u**2 + u**2 - 3*u**4)*(-2 + 0 + 1).\nAnswer: -1050*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-108)\/(-9))\/(-3) + 3. Let f = 0.81 - 51.81. Which is the nearest to f? (a) -2\/17 (b) h (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684)\/(2*sqrt(12)) - sqrt(57))\/(2*(sqrt(18)\/sqrt(6) + sqrt(3))).\nAnswer: -sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**2 - 9*d - 16. Let n be c(-6). Suppose 0 = -0*w - 2*w + 3*t, 0 = 2*w + n*t - 10. Solve 0 = -w*x - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes before 4:50 PM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g**2 + 70*g**2 - 123*g**2.\nAnswer: -31*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1199885 is divided by 2105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + (sqrt(1872) - (sqrt(1872) - ((sqrt(1872) - (5 + sqrt(1872) - sqrt(1872))) + sqrt(1872)))) + 4 - sqrt(1872)) + 6*(4*sqrt(1872))**2.\nAnswer: 24*sqrt(13) + 179711","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 55 = 2*o, -33*o - 4*q = -30*o - 2. Calculate the greatest common divisor of o and 36640.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 f when three letters picked without replacement from faaaaaafaaaaaaffaaa.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 653154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*m - 59 + 227*m + 4*m**2 + 53*m = 0. Calculate m.\nAnswer: -59, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(228) + sqrt(228) + sqrt(228)*-2) - sqrt(228))*-1)\/(2*(sqrt(12) + (sqrt(36)\/sqrt(3) - sqrt(12))) - (-1*sqrt(120))\/sqrt(10)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (187 - 179) + 2 + 1 + -3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.1 - 3. Let y = -1.9588 + -1.0412. What is the nearest to m in 26, 2\/7, y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2 + 17967325*f = 0.\nAnswer: -17967325, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 20*z**3 - 277*z**2 - 28*z - 50. Calculate the remainder when m(14) is divided by 36.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*o**3 - 111*o**2 + 123*o - 24.\nAnswer: 3*(o - 8)*(o - 1)*(4*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t + 135 - 135 to the form n*t + x and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 - 41*k - 243. Let a be l(-7). Put a, 0.3, 4 in descending order.\nAnswer: 4, 0.3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 6:24 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -267 = -5*r + 233. What is the greatest common divisor of 20 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-3*76\/133*21\/54.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303794486.\nAnswer: 2, 137, 1108739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 128 and 4864.\nAnswer: 4864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 72 = 4*z, -10*z + 7*z - w = -41. Calculate the greatest common divisor of z and 255.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.08 - -1.4. Let t = 7.32 - g. Put 0.2, t, 3 in descending order.\nAnswer: t, 3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**2 + 30*g + 6. Let n(c) = -29*c**2 - 127*c - 26. Let d(t) = 17*f(t) + 4*n(t). Let u = -1 - -3. Let k be 6\/u*2\/(-3). What is d(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j - 4 + 4*j - j. Let n = 17 - 13. Let q(d) = d + 1. Let b(u) = 3*u + 5. Let k(x) = -b(x) + 4*q(x). Give n*k(l) - v(l).\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -116051991801 and 0.032?\nAnswer: 116051991801.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2\/5 + 34248*u\/5 + 146615688\/5 = 0. What is u?\nAnswer: -8562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, j: 3}. Give prob of picking 2 h and 2 j.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*s - 75. What is the second derivative of 3 - 3 - 1 - 38*f + 35*f**3 + s*f wrt f?\nAnswer: 210*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(2\/5))**(-15\/4)*((t*t**0)\/t*t)**(-3\/28))\/((t**5*t**(-1\/6))\/((t\/t**(1\/10))\/(t\/t**(1\/6)))) assuming t is positive.\nAnswer: t**(-748\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of 1\/20*c**5 - 1\/2*c**3 - 2*c**2 - 3 + 1\/6*c**4 - 1\/120*c**6 + 0*c. Let l(j) be the second derivative of q(j). Give l(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 16 = 3*q. Suppose 0 = -w + 2*w - 2*t - 6, w + 5*t = -q. Solve -2*y + w = -0*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence awc when three letters picked without replacement from cwa.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 142.7181l to millilitres.\nAnswer: 142718.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 47493 + 2?\nAnswer: 47495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of 0*q**5 + 1\/42*q**7 + 0*q**4 + 2*q + 1\/3*q**3 + 0 + 0*q**6 + 0*q**2. What is the second derivative of h(t) wrt t?\nAnswer: 20*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.23? (a) -1\/4 (b) 3 (c) 10 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 9 - (8 - (-6 + 9)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -407606 - -238449256\/585. Let n = u + 4\/117. What is the nearest to -4 in n, 0.1, -3\/7, 3\/4?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-129)\/(-602)*(-8)\/12?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 5:33 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -202 - -205. Solve -5*g = -6 + 1, -3*r + x*g + 12 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -1788*v + 1792. Let h be q(1). Factor -34\/9*o + 2\/9*o**2 - h.\nAnswer: 2*(o - 18)*(o + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 213606?\nAnswer: -5\/71202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2242571024 to the power of 1\/6, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -3, -0.1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103 - 725 = -4*r + p, -2*r + 408 = p. Suppose -4*o + j + 148 = 0, -5*o - 3*j + r = j. Suppose 2*f - 80 - o = 0. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 5. Suppose 0 = -m - 13. Let l be w(m). Solve 4*d = -2*v + l, 5*d - 2*d = -3*v + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 4*c = 7, -3*a - c + 3*c = 9. Let v = a - -4. Let x = -903 + 904. What is the greatest common factor of v and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 4. Calculate the remainder when 29 is divided by y(-14).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -38*m + 2539958. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 77217.6 to the nearest 1000.\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13317 to the power of 1\/2, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*n + 71 = 11*n + 11576. Calculate the greatest common divisor of 104 and n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(312)\/(3*sqrt(12)) + sqrt(26))\/(sqrt(2)*2*-4).\nAnswer: -sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48015660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-6\/7)*z**(-12\/11) assuming z is positive.\nAnswer: z**(-150\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 57456, -4\/5, 0.2.\nAnswer: -4\/5, -0.2, 0.2, 57456","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7858 - -599?\nAnswer: -726a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12446*v + 4331*v - 2931 + 5437*v wrt v.\nAnswer: -2678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, g: 1, d: 1}. Give prob of sequence tg.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**22\/((k\/(k**(-1\/3)*k))\/k))**(-11\/2))**(-3\/2) assuming k is positive.\nAnswer: k**187","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12167542 divided by 6083771?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/53430 and 51\/560.\nAnswer: 2992080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 596 and 284590.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 2022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 105*o - 43*o - 62*o - 4*o**2 + o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(((i\/i**(-12))\/i)\/i)\/i*i)\/i*i\/(i\/(i*i\/(i**(-2\/83)*i)*i*i)) assuming i is positive.\nAnswer: i**(1164\/83)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01493 rounded to three dps?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**4)**35 assuming h is positive.\nAnswer: h**175","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-5))\/((-5)\/1))\/((-2388)\/(-3980)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -213, -1093, -2561, -4617, -7261, -10493?\n\"Answer: -294*z**2 + 2*z + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -39, -99, -183, -291, -423?\nAnswer: -579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*f)*(-3 + 39622*f - 39622*f + f**2 + 12*f**4) + (-f**4 + 4*f**4 - 2*f**4)*(-4*f + 0 + 0).\nAnswer: 20*f**5 + 2*f**3 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -0.2. Let k = 0.8 + o. Which is the smallest value? (a) 0.1 (b) k (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2193*p + 63. Let f(n) = n**2. Calculate u(f(m)).\nAnswer: -2193*m**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q. Let z(y) = 43*y**2 - 20*y - 1. Let b(u) = -3*d(u) + z(u). What is the second derivative of b(o) wrt o?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 1. Let s(z) = 49*z - 7. What is 6*b(k) + s(k)?\nAnswer: 49*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.77000283 + 3.77. What is f rounded to 7 dps?\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 197*y**3 - y**2 - 15 + 255*y**3 + 3*y**2 - 508*y**3.\nAnswer: -56*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v - 3. Let p be m(-3). Let a = -17 - p. Suppose -5*g + 10 + a = 0. Solve c - g*c = 9 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8 - 11 = 0. Find the third derivative of 0*j**2 - 2*j**w + 0*j**2 + 4*j**2 wrt j.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.1 (b) -1.2 (c) 3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-5))\/(336\/(-560))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*y**2 + 108*y**2 + 85*y**2 - 312*y**2.\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -cb - 1255?\nAnswer: -1353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 48662 divided by 1678\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + p + 6*p - 1 - 8*p - 9*p**3 + 3*p**2 to h*p**2 + i*p + d + u*p**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4913*t**5 - 3468*t**4 + 816*t**3 - 64*t**2.\nAnswer: t**2*(17*t - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -38.7. Let f = k + 11. Let u = f + 0.3. Which is the closest to u? (a) -1 (b) -2\/11 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1158 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11133 is divided by 258?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.28 - 0.02. Suppose -14*o - 900 = -19*o - 175*o. What is the nearest to 3 in w, o, 1\/9, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-7) - (-21520)\/140 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 455*a - 117862. Calculate g(259).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12699 - 8130. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3578 divided by -1789\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 242467420 to the power of 1\/2, to the nearest integer?\nAnswer: 15571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1209, 1216, 1239, 1284, 1357, 1464, 1611?\n\"Answer: g**3 + 2*g**2 - 6*g + 1212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -270 + 382. Suppose -6*x + 15 = -3*x. Let k = x - -9. What is the highest common factor of k and r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -j**6\/180 - j**5\/45 + 7*j**4\/36 - 4*j**3\/9 - 10*j**2. Factor q(x).\nAnswer: -2*(x - 1)**2*(x + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7729 - 21*x - 7729 to the form j + z*x and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/6 (b) 9\/5 (c) -4 (d) 23 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 4870.8, 9 in decreasing order.\nAnswer: 4870.8, 9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 11:14 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 32403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -91. Let d = a + -81.09. What is the closest to -2\/7 in 0.5, 1\/8, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 4)*(1 - 2 + 5)*(-3*s**2 + 8*s - 8*s**4 - 8*s) to the form c*s**3 + r*s**2 + q*s + u*s**4 + t and give r.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (154\/147)\/((-20)\/(-39)) and -19\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 208?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 + 1311132030?\nAnswer: 1311132323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -239, -542, -839, -1124, -1391, -1634?\nAnswer: -1847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 0*a = -4*a + 16, 0 = g + 3*a - 11. Suppose 3*s - 6*s = -12. Does s = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 2*s - 23. Determine l(0).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -20*x**4 + 31*x**3 + 9*x**2 - 25*x + 11. Let c(u) = -180*u**4 + 280*u**3 + 80*u**2 - 224*u + 100. Let l(w) = 3*c(w) - 28*p(w). Factor l(q).\nAnswer: 4*(q - 1)**2*(q + 1)*(5*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(832)*-4)**2 + sqrt(832) - ((-2*sqrt(234))\/sqrt(9))\/sqrt(2).\nAnswer: 10*sqrt(13) + 13312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1211212200 - -1?\nAnswer: 1211212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.06? (a) 1 (b) 3 (c) 0.3 (d) -127 (e) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 8. Let c be t(9). What is the greatest common divisor of c and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -14. Suppose -u*q = q - 4*q. Suppose q = -x + y + 1, 7 = 5*x - y - 14. Solve 0 = s - x*s + 2*f + 14, 0 = 5*s - 4*f - 22 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 3 + 1)*(3*a + 0*a - 2*a) - 6*a + 2*a + 2*a)*(-19*a**2 - a**2 + 2*a**2).\nAnswer: 54*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, -3, 9, 3, -5 in ascending order.\nAnswer: -5, -3, 3, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3*(3\/9 - 0). Let c(u) = -u**3 - 3*u**2 - 3*u - 1. What is the remainder when c(-3) is divided by ((-6)\/(-10))\/(g\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5)\/(-2) + (-336)\/144. Sort j, 0.1, -1\/4, -2.\nAnswer: -2, -1\/4, 0.1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1338512 divided by 304?\nAnswer: 4403","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119859 - 0.5.\nAnswer: -119859.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1276733 is divided by 198.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2. Suppose 5 - 11 = -3*o. Let f(j) = 82*j - 572. Let t be f(7). Let z(a) = a**2 + 0*a**2 - 3*a**o + 4*a**t. Give c(z(l)).\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 - -87.9. Let q = a + 9.1. Let x = -3 - -2. Sort q, x, 4 in descending order.\nAnswer: 4, q, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:51 PM and 5:25 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 0*c**3 + 0*c + 1\/20*c**5 + 1\/24*c**4 + 0 - c**2. Let w = 1 + 0. What is p(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*w**3 - 25*w + 11*w**3 - 77*w**3 + 130*w**3.\nAnswer: -6*w**3 - 25*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.9427937 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.8, -1, -1\/8, 3, 0.1 in descending order.\nAnswer: 3, 0.1, -1\/8, -1, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g**2 + 15*g - 7. Let q be p(7). Suppose 0 = -3*s - 4*d + 1, d + q*d + 4 = -5*s. Is 3 a factor of 0 + (-14)\/s + 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5847 - -3238. Does -2609 = w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 40\/3*i - 1\/2*i**3 + 0 - 59\/3*i**2 = 0?\nAnswer: -40, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 5*x**2 - 4*x - 6. Let q(k) = -k**3 - 19*k**2 + 17*k + 15. Let b be q(-20). Let i be b*18\/(-351) - 2\/13. Give g(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(11)*1)**2*4 - sqrt(11)).\nAnswer: -sqrt(11) + 46","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 380167\nAnswer: 190083.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*l*v**2 - 1607489*l*v - 1081209*v**2 - 14*v wrt v.\nAnswer: 102*l - 2162418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - ((-3 - 0) + 16713). Let l be (-6)\/9 - a\/(-42). Let t = l + 44493\/112. Calculate the common denominator of 65\/14 and t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - a4?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 126573569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*f - 4*w - 83 = 139*f, -2*f = -3*w - 29 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 119 and 68?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1409 = -2*r, 1472 = 4*r + 5*l - 1345. Suppose 0 = 10*x - r - 367. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2 + 31*w - 32.\nAnswer: (w - 1)*(w + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(1 - (-21)\/(-24)). Suppose -3*v + 3*b + 10 = -2, 4*v - 2*b - o = 0. Let i(m) = -4*m + v*m + 0*m - 2*m**2. Let c(n) = -2*n**2. Calculate c(i(p)).\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 23 and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 16*i + 11. Let v be h(8). What is the second derivative of -27 + b**2 + 27 - v*b wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 3*d - 8, -4*j + 0*d = -4*d. Calculate the highest common divisor of 14 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*s - 4211 + 12988 = -267*s for s.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - f = -23, 3*f - 5*f - 29 = -5*x. Suppose 5*h - 10 = x. Find the third derivative of -3*g**h + g**2 + 4*g**3 - 2*g**2 wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.68 + 2.32. Let k = 4 + -3.7. Which is the third smallest value? (a) z (b) 1\/11 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 6*l**2 - 12*l - 36. Let i be m(-3). Solve i*w + 4 = 28*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4\/(-6)*-394 + 16\/48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -4*m**3\/7 - 2648252*m**2\/7 - 438376404524*m\/7 - 16216301713012\/7 = 0.\nAnswer: -331013, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.05 or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 5*g + 4*g = -116, 0 = -f + 5*g + 12. Let n = -17 + f. Let b = n + -2. What is the lowest common multiple of b and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*c**3 + c**2*v + 4477*c**2 + c*v + v + 111735 wrt c.\nAnswer: -30*c + 2*v + 8954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + 23*u + 10*u - 28*u to the form x*u + s and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26205?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 8 + (1 - (-4 - -2)) + -45\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*r = -20 - 14, -3*t = 3*r + 30. Let v = t + 11. Solve n = -0*n + v for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5224 and 480.\nAnswer: 313440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3 - 3450*z**2 - 519352*z + 1589160 = 0. What is z?\nAnswer: -1558, -170, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/1120 and -67\/8400?\nAnswer: 16800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of 7\/12*y**4 + y + 0 + 0*y**3 - 9\/20*y**5 + 0*y**2. What is the third derivative of n(c) wrt c?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 31*z - 55. Give l(-33).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -216, -220, -232, -258, -304, -376, -480?\n\"Answer: -d**3 + 2*d**2 - 3*d - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9\/4 (b) -1 (c) 2197\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1208 - 1180. Calculate the greatest common factor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 114\/13 - 1000\/117. Suppose 8*f - 3*f = 2*l + 24, 3*l + 2 = -f. Let -4\/9*v**2 + a + 2\/9*v**f - 2\/9*v - 2\/9*v**5 + 4\/9*v**3 = 0. Calculate v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 0, x + 3 = 2*x - 4*c. Let l be 2\/(-1) - (-5 - x). Let o = 16 - l. Does 10 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -8*m - 6. Let v(g) = -g - 1. Let r(n) = t(n) - 6*v(n). Let b(y) = -10*y**2. Determine b(r(l)).\nAnswer: -40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/1625 and -58\/3283.\nAnswer: 5334875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12398.\nAnswer: 2, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1453 + -0.0853. Which is the closest to i? (a) -5 (b) 0.2 (c) -0.3 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 13\/((-7488)\/(-1698)) - 3. Which is the third biggest value? (a) -2 (b) 2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 8 = 2*v, 2*j - 4*j - v = -10. Suppose -5*o + 0*o + 105 = 3*y, 0 = 2*o + j*y - 42. Calculate the greatest common divisor of 546 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 27. Suppose -125 = -5*q + 20. Let w = q + l. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1404 divided by 78\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/72 and -101\/4058964.\nAnswer: 8117928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5561821?\nAnswer: 5561821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*n**3*o**2 - 117*n**3*o - 3*n**2*o**2 - n**2 + 84*n wrt n.\nAnswer: 30*o**2 - 702*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*b - 112 = -110*b. Let z(o) = -o - 13. Give z(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h - 9*h - 2*h - 46*h + 6.\nAnswer: -46*h + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1, 16, 53, 124, 241, 416, 661, 988?\n\"Answer: 2*a**3 - a**2 + 4*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1120.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qa when two letters picked without replacement from {q: 5, r: 1, v: 1, z: 1, a: 4, g: 1}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 - 16*v + 47. Calculate u(11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 21774221?\nAnswer: -11\/21774221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 5\/346610832?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5191*v**3 + 5*v**2 - v + 8. Let m be z(5). Let q = 322747 + m. What is q rounded to the nearest 10000?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19170, -19165, -19160, -19155, -19150?\nAnswer: -19145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-19973)\/(-9) + (-17)\/(612\/8)?\nAnswer: 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 - 19*u**2 - 29*u - 28. List the prime factors of m(-20).\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 12101952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 18397 (b) -34 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30.7 - 8.7. What is the third smallest value in c, -0.2, -1\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -6*w - 130. Let r be z(-22). Solve -5*u - 4*y + 13 = -r*y, u = 3*y - 11 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 254 (b) -5 (c) 3\/2 (d) 0.1 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99 + (-57 - 30) + -62 + 0?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 2:56 PM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/52*52\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -15151*m**2 + 15152*m**2 + 3616*m + 10033*m as w + u*m**2 + k*m and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/5)\/((2\/(-30))\/((-56)\/504)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and (2\/(-6))\/(2\/(-30)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1877396 is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1, 0.7, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2614, -5236, -7858, -10480, -13102, -15724?\n\"Answer: -2622*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -3*w - 28. Let k = 83 + w. Let o = 37 + k. What is the highest common divisor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 55 = b, 0 = 2*h + b + 4*b - b - 46 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 - 31?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -20343\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r = 5*z + 2*r - 15, 0 = -4*z - 3*r + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 14*t**2 + 5*t + 159. Determine r(-15).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -7 + 7 + 86474\/16. Let l = d - 5393. What is the common denominator of l and ((-14)\/(-57))\/(8\/90)?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1, 0, -1, -2?\n\"Answer: -v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 49650 to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -3185015, -3185073, -3185121, -3185153, -3185163?\n\"Answer: d**3 - d**2 - 62*d - 3184953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 544 = 4*v, 4*v - 158 = -4*s + 370. Let i be v\/26 + (-2)\/13. Let a(d) = -4*d - 5*d + 0*d - i*d. Let o(t) = 3*t**2. Calculate a(o(q)).\nAnswer: -42*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, -4\/3, 14, -3\/2 in descending order.\nAnswer: 14, 5, -4\/3, -3\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 327*l**3*v**2 - 23*l**3*v - l**3 - 498*l + 411449*v**2 - 7*v + 13 wrt v?\nAnswer: 654*l**3 + 822898","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 748\/(-36) - (-6)\/(-27). Let d be s\/(-28) + (-87)\/(-12). Find o, given that 30*o - d*o**3 - 44*o**2 + 14*o**5 + 5*o**4 - 36*o**5 - 4 + 43*o**4 = 0.\nAnswer: -1, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2093?\nAnswer: 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-5 - (3 + -10 + 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 504247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3042?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -8) + -9 + (3 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes before 9:13 PM?\nAnswer: 10:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 - 4*t**3 + 4*t**3)*(-4 - 5 + 24 + 21 - 6)*(-56 + 13 - 12).\nAnswer: -6600*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 7*t = 144. Let y = 38 - 6. Calculate the smallest common multiple of t and y.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 325912576*x**2 + 248408727 wrt x?\nAnswer: 651825152*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -32*u**2 + 196*u + 2884. What is q(13)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7 - (18\/(-3) - -39). Is d smaller than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-52 - (7 + -119)) + -40\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-1)\/x))\/(x\/(x*x*((x\/(x*x\/(x*x**(-10))))\/x)\/x)))**(5\/13) assuming x is positive.\nAnswer: x**(-45\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*-1 + (-3 - 0). Let x be 4\/c*-3 - -17. Suppose 78 = 2*h - x. Is h a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(51) - sqrt(204)\/sqrt(4)))\/sqrt(3) + ((sqrt(2057) + sqrt(2057)*-1)*1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 3?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 748, 744, 736, 724, 708?\nAnswer: 688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202*z + 52*z + 47*z + 51*z + 53*z + z**3.\nAnswer: z**3 + z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64544 (base 9) to base 16.\nAnswer: -a6e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -246*s**3 + s**2 + 992*s + 3. Give y(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 10:13 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -976\/7, 17, 0.5 in descending order.\nAnswer: 17, 0.5, -976\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - x + 110 = -5*p, 12 = 4*p. Calculate the remainder when 349 is divided by x.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4710, -13786, -28922, -50124, -77398, -110750, -150186, -195712?\n\"Answer: -v**3 - 3024*v**2 + 3*v - 1688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/4 (b) -4 (c) 5 (d) 0.08414\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 30 = t. Suppose 4*h = -q + 4, -q + 2*h + t = -0*q. Does 8 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*s + 20 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -56*y + 423725 + 338827. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 765527 + -200?\nAnswer: 765327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k + 66857*k**3 - 10*k + 6*k - 66849*k**3.\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = 2*n. Suppose -u - 6 = l, -n*l - u - 14 = 3*l. Let g(j) = 19*j**2 + 2*j - 1. What is the units digit of g(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30923*v**5 + v**2 - 474*v - 5.\nAnswer: -1855380*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (2 + (-7 - -11))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1477*z = -2*n - 1475*z, 0 = -2*n + 11*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or -744\/43?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -47*y**2 - 21*y + 96. Give r(5).\nAnswer: -1184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/7 (b) 2\/9 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 60\/1920*(3 - 37\/77) and 115\/1078.\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 26 = -5*y - 11, 2*r - 10 = -4*y. Let a(i) = -i**2 + 6*i**y - 6*i**2. Let d(f) = 3*f**2. Determine d(a(j)).\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 158978 at least as big as 434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1219*l + 134797 + 3765 = -1170*l for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 5*l**2 - 37*l - 9. List the prime factors of g(11).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -872 - -875. Suppose -10*z - 11545 = -15*z + 5*h, 11537 = 5*z - r*h. Round z to the nearest one hundred.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 771.5 + -772. What is the closest to -1\/4 in k, 2\/5, -2.8?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -109701, -109665, -109629, -109593?\nAnswer: -109557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, o: 9, f: 1, e: 1}. What is prob of sequence opfe?\nAnswer: 7\/8160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a - 32 = 0. Suppose 0 = -a*w - 44 - 20. Is -8 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-11)\/f**(-18))\/(f*f**(30\/11)*f**(-13)))**(4\/11) assuming f is positive.\nAnswer: f**(716\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000026224242 to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.04 - -0.06. Let w = t + -7.9. Round w to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2242811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7a + -3?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 80.57434 millennia?\nAnswer: 8057.434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of -a**2\/2 + 184. Let r(y) = 90*y**2 + 2. Give r(o(n)).\nAnswer: 90*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/37537589 smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 126011.47 rounded to the nearest 1000?\nAnswer: 126000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 5352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 553139933 divided by -4.\nAnswer: -553139933\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13645512 + -51?\nAnswer: 13645431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -18*l**2. Let g(m) = 241*m + 16. Let r(q) = -104*q - 7. Let z(t) = -3*g(t) - 7*r(t). What is z(h(k))?\nAnswer: -90*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (48\/(-18))\/8*(-297)\/9.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58051 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 3*w - 75, 5*w + 16 + 7 = 4*k. What is the least common multiple of 4*(-3 + 2 + 3) and k?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r = -5*r - 15 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 - 18. Suppose -3*w - 2*w + 190 = r. Calculate the remainder when w is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-1\/9))\/(n\/(n*n**(-22))))**(-17\/3))**(-1\/20) assuming n is positive.\nAnswer: n**(-323\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 7:23 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 234353418419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -115*i**4 + 5300*i**3 - 5405*i**2 - 9920*i + 900 = 0. What is i?\nAnswer: -1, 2\/23, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 1.2, 35?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4) + 9\/(-4). Calculate the remainder when ((-138)\/(-9)*-3)\/p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h**2 - 1130416362 + 1130416362.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/24563 and -19\/924.\nAnswer: 294756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/5 + 730197*i\/5 + 365099\/5.\nAnswer: -(i - 365099)*(2*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4 = -3*c, 0 = -2*c - 3 - 3. Suppose 70 = 5*d + m*h, -2*d - 16 = -h - 53. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 4342?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + 2*u + 2*u)*(5 - 9*u - 18 + 7*u) to the form b + h*u + w*u**2 and give h.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 AM and 2:33 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*4\/(-24*(-7)\/14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the first derivative of 11*d**3 - 2*d**2 + 160*d + 91. Find the first derivative of g(l) wrt l.\nAnswer: 66*l - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*f + 5746 = 4250 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29\/15 + 7\/3. Let v = -5.2 - -5. Sort s, v, 1\/2.\nAnswer: v, s, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14948986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t\/(t\/t**1))\/t))\/((t\/t**2)\/t))\/(t**(2\/9)*t**(-2))*(t**0)**0\/((t\/(t*t**(-1\/6)))\/t**(-1\/2)) assuming t is positive.\nAnswer: t**(28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 24\/5 + 18\/5*l**2 - 36\/5*l - 3\/5*l**3.\nAnswer: -3*(l - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*150\nAnswer: 7.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k + 9. Let x be t(7). Suppose -4 = -4*u + 4*w + 12, 4*u = 2*w + x. Suppose -u = -z - z. Solve 0 = 4*o + z*i - 2, -3*i = 2*o - i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 6*z - 1. What is the units digit of c(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**6\/15 + 5*p**3\/2 - p + 8. Let t(u) be the first derivative of f(u). Find the second derivative of t(v) wrt v.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 11:56 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 232 = 2*c, 4*c = -4*y - 55 - 173. Let s(n) = -8*n**2 + 10*n - 8. Let w be s(10). Let t be (3\/9)\/((-4)\/w)*-1. Is y != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/78 and -59\/69.\nAnswer: 1794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**0)**(-42)*((p**(4\/3)*p)\/p*p)\/p**(2\/15))\/(((p**(-1)*p)\/p)**(-47))**(-10) assuming p is positive.\nAnswer: p**(2151\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(8\/(-78)*3*((-187)\/(-22))\/17).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 586.7446 millimeters in nanometers?\nAnswer: 586744600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (71*s - 50*s + 19*s)*(4 - 6 + 4 + (3 + 1 + 0)*(2 - 3 + 3) + 0 + 1 - 3) to the form u + q*s and give q.\nAnswer: 320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1543 is divided by 151?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44204 (base 8) to base 16.\nAnswer: -4884","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 11 - 29 = 0. Let w = o - 11. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 10*i + 1095. Suppose 0 = -2*p - 135 - i. What are the prime factors of p\/(1 + 20\/(-8))?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/10*-2 + (1 - 2). Let k(g) = -g - 7. Let q(i) = -1. Let n(j) = v*k(j) - 6*q(j). Does 14 divide n(-21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 - 30*k**2 - 326*k - 15 - 5.\nAnswer: -30*k**2 - 326*k - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 49, 80, 107, 130?\n\"Answer: -2*w**2 + 37*w + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -2\/6991339, 0.1 in ascending order.\nAnswer: -2\/6991339, 0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 186*x - 177*x - 54 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2545404?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/160 and 43\/18.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -586*f**3 + 26*f**2 + 30*f + 5064. Let a(l) = -147*l**3 + 6*l**2 + 7*l + 1266. Let j(i) = 26*a(i) - 6*d(i). What is the derivative of j(c) wrt c?\nAnswer: -918*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 463127959 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4*x**2 + 13*x + 4. Suppose -5*g = 0, 0*g + 24 = -4*h + 2*g. Is 12 a factor of p(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, e: 2, r: 7}. What is prob of sequence rdd?\nAnswer: 7\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 37*z**3 - 116*z**3 - 20*z**3 + (0 - 4 + 3)*(4*z**3 - z**3 - 4*z**3).\nAnswer: -98*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -z**8\/112 + 3*z**7\/70 + 45*z**2. Solve w(q) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**5*q**(-7))**17)**(-3\/4))**(2\/79) assuming q is positive.\nAnswer: q**(51\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 7) to base 3\nAnswer: -110222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-10))\/(32562\/42210)\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 87*q**3 - 3 - 43*q**3 - 46*q**3 + 5*q**2 to w + z*q**3 + t*q**2 + f*q and give w.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -9*y**2 - 10. Give s(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -97, 4\/7, 1 in ascending order.\nAnswer: -97, 4\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 563535 and 2994786.\nAnswer: 104817510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 296 and 1212432.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 7*j**3 + 3*j. Let g(x) = 6*x**3 + 2*x. Suppose 3*w - 8*w = -25. Give w*g(t) - 4*r(t).\nAnswer: 2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7207923?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 - 20011220002011?\nAnswer: -20011220001202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -355459 or -3199133\/9?\nAnswer: -3199133\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/1738600 and -83\/5600.\nAnswer: 48680800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42 times -343.2\nAnswer: -14414.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f + 541. Is h(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -62\/51 + -2\/17. Let f = 8.4 - 8. Let u = -8 - -3. What is the third smallest value in f, u, j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -747*x**8\/56 + 19*x**4\/24 - 2*x**3\/3 - 3208*x**2. Find the second derivative of p(j) wrt j.\nAnswer: -89640*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 5*b - 107 + 118 = 0, 0 = c - 4*b + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.011 + 0.25\nAnswer: 0.261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4706 is divided by 1137?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*q + 38*q + 22*q + 516 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 0 - 2*m - 1)*(9 - 3 + 6).\nAnswer: 12*m - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*m + 17 = p, -p + 5*m + 21 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-9))\/(6\/27). What is the greatest common divisor of s and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x + 4. Let k be (-666)\/(-21) + 8\/28. Suppose -k = 2*m - w, 4*w = -m - 0*w + 2. Let a = 8 + m. Determine h(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1586, -1396, -1114, -728, -226?\n\"Answer: 2*l**3 + 34*l**2 + 74*l - 1696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 91242821337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 41663305\/9 + -4635410. Let k = a - -6160. What is the common denominator of -79\/16 and k?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36.5 + 1. Let w = j - 37.50193. What is w rounded to four decimal places?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 256 + -245. Calculate the smallest common multiple of g and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8 - (3 - (-15)\/(-3)). What is the smallest common multiple of -1*1\/1 + 17 and (-3 + -3)*14\/m?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 11, -1, 4, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -700, -1274, -1860, -2458, -3068, -3690, -4324?\nAnswer: -4970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) - ((-40)\/(-18) + -4). Suppose l*q - q = -0*q. Solve q = 14*m - 9*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -31*z + 5. Let n(p) = -2*p + 71. Give n(d(t)).\nAnswer: 62*t + 61","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g. Let j = 18 + -13. Suppose 0 = -4*q + 3 + j. Let l(a) = -8 + 8 - a**2 - 3*a**q. Calculate l(b(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1575\/1472?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(85)\/(sqrt(20)\/sqrt(4)*4 - sqrt(5))) + -4)**2.\nAnswer: 64*sqrt(17) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24173827*n**4 - 7295*n**2 - 20*n + 40.\nAnswer: -580171848*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -132*(-42)\/(-12)*(-5)\/7*(-37)\/185?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + -5. Suppose -n = 2*z - 19. Suppose 0 = -2*j + z*j - 145. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 160? (a) -6\/7 (b) 15 (c) -5 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 616 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 12063, 24081, 36101, 48123, 60147, 72173, 84201?\n\"Answer: x**2 + 12015*x + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 63*i + 641. Give o(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -468*o**3 - 1160*o**3 + 270*o**3.\nAnswer: -1358*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -146520 to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -40*j**2*u**3 - 3*j*u**2 - 93*u**3 wrt j?\nAnswer: -80*j*u**3 - 3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*h**4 + 5*h**3 + 78422*h - 14879300?\nAnswer: 28*h**3 + 15*h**2 + 78422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + -1*(-12)\/(-4). Let -48*l + 49\/2*l**4 + 8 + 84*l**3 + 44*l**d = 0. What is l?\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by -1 - 1 - (3 + -9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 661 is divided by 276?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**3 + 83*r**2 - 128*r + 116. Let i be j(-43). Solve 0 = 118*m - i*m + 270 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.07 + -0.07. Let f be -2*(0 - (-9)\/6). Let u be 9\/75*2\/f. Put a, u, 1 in descending order.\nAnswer: a, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 484483126 to the power of 1\/2, to the nearest integer?\nAnswer: 22011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 2*l - 5. Let h be m(5). Suppose -h*x - 101 = -731. What are the prime factors of 1\/(-7) + 270\/x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 42*p + 87. Let s be w(40). Suppose -2*v - 5 - 1 = 0. Let t = v - -3. Solve t = 2*i + 1 + s for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -45, -80, -129?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 3) to base 10\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 198, 324, 474, 654?\nAnswer: 870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1396735?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -441106.544 rounded to the nearest 1000?\nAnswer: -441000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2102570222 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/98783 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 28*i - 515. Let b be f(19). What is the highest common divisor of 3043 and b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1573) + -1*sqrt(1573) + sqrt(1573))*-4)**2 - sqrt(1573))*5.\nAnswer: -55*sqrt(13) + 125840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.04? (a) -9 (b) 1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 480795?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of l**4\/12 - 13*l - 1. Let u(i) = 18*i**2 + 4*i. Calculate s(u(k)).\nAnswer: 324*k**4 + 144*k**3 + 16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 12 = -29*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q + 13. Let r = -120 + 130. Let j be w(r). Suppose 15261 = 6*v - j*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/33, 1\/9, -1028, 1\/26, -5?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10358, -10610, -11282, -12584, -14726?\n\"Answer: -35*f**3 - 7*f - 10316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111*o - 5*o - 6*o + 105*o.\nAnswer: 205*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 8*q - 93. What is m(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7536 + 40857.12.\nAnswer: 48393.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a**2 + a. Let s be y(-2). Suppose -37 - s = -p. Is p a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116100 and 6153300.\nAnswer: 6153300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 195, 427, 661, 897, 1135, 1375, 1617?\nAnswer: 1861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 2) + 18 + 2 - (-149 - -246).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 191.59 * 0.1769\nAnswer: 33.892271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 417 + 7795338.5.\nAnswer: 7795755.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7150772?\nAnswer: 2, 727, 2459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*k - 78. Let q be (-2 - 4)*(-1)\/6*-3. What is the remainder when (-2)\/q*69\/2 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1372, 1371, 1370, 1369, 1368?\n\"Answer: -c + 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 + 44*c + 105. Let z be n(20). What is the second derivative of 106*k + 74*k**3 - 1169*k**2 + z*k**2 + 585*k**2 wrt k?\nAnswer: 444*k + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1386219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10801 - 10737. Calculate the greatest common factor of i and 26816.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/16*-2)\/((-1)\/6*-3)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 3*f + 2. Let j be b(3). Suppose -2*x + 3*v = 2*x + 108, -5*x = -j*v + 142. What is the tens digit of (x\/(-12))\/(2\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20689745 divided by -4137949.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -282558 greater than -282544?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(39) - (sqrt(39) - sqrt(156)\/(sqrt(24)\/sqrt(6)))) + sqrt(39))*1)\/(sqrt(24)\/(sqrt(32)*-3)).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a century in months?\nAnswer: 12480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 15*u - 2. Let i(h) = -3*h**3 + 46*h + 7. Let q(c) = 7*d(c) + 2*i(c). What is the second derivative of q(n) wrt n?\nAnswer: 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 2*h = 2, 0 = u - 0*h + 5*h - 7. Suppose 0 = u*f - f. Solve g = -f*g - 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1233 a factor of 66556107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of -g**5\/60 + g**4\/8 + 7*g**3\/6 - g**2 + 9*g. Give t(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -o - 0*g - 4, 12 = -4*g. What is the derivative of -8 + 9*y**o + 3*y**2 - 13 + 9 wrt y?\nAnswer: 24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 35830540 and 68466?\nAnswer: 107491620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/2 or -8.923?\nAnswer: -8.923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**3 - 30*y**2 + 73*y - 28. What is g(-8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12449 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -10, -42, -90, -154, -234?\n\"Answer: -8*m**2 - 8*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdjdvdv. What is prob of sequence js?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12, 62, 186, 420, 800, 1362?\n\"Answer: 6*d**3 + d**2 + 5*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1586\/(-4) + 7\/14. Let z = -81 + y. Is (z\/27)\/(2\/(-18)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 153*m**2 + 12240*m - 386. Determine j(-80).\nAnswer: -386","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/((z\/(z*z**(-26\/5)\/z*z)*z)\/z))\/z)\/(z*z\/(z*z\/(z*(z**(-13)*z*z)\/z))))\/((z*z**(-17))\/(z*z\/(z**(-15\/7)\/z*z*z*z*z))) assuming z is positive.\nAnswer: z**(803\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11b4 + -60585?\nAnswer: -5b391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) 2\/3 (c) 150 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*i + 4*w - 28 = -227*i, 0 = i - 3*w - 3 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -280*g**3 - 186*g**3 - 304*g**3.\nAnswer: -770*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11764127 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(1*12\/32).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7018 divided by 2\nAnswer: -3509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 71753807 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**2 + 21*z - 21. Let w be r(9). Let y = 20 + -38. Let t = y - -60. What is the greatest common divisor of w and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.4340362mm?\nAnswer: 434.0362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 + (-280)\/55)\/(84\/(-77))?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (200\/32 + -6)\/(87141\/(-43572) + 2).\nAnswer: 3631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 196285 and 628112?\nAnswer: 3140560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 0.189904\nAnswer: -0.759616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 - 2 + u + 1 wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0174 - -0.01034. Round b to three dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 15) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.9 - -19. Which is smaller: 183 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2211598*y**4 + 1225841*y**2 wrt y?\nAnswer: 53078352*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12850995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6650 - 3861. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*q + 9 = 3*f + 92*q, -2*q = 27*f - 175 - 22 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -3103302200?\nAnswer: -3103302211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -214918, -214907, -214896?\n\"Answer: 11*l - 214929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.38 + 23. Let m = x - -0.38. What is the closest to -2 in 0.1, m, -4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 144*g*h*w**3 - 18*g*h*w + 428*g + 5*h**2 + w**3 - 2*w**2 - 18*w wrt h.\nAnswer: 144*g*w**3 - 18*g*w + 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/4)\/(36*(16\/16)\/6)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -3, 7, -17, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6067\/854 - 99\/14. Let m = 11748\/9815 + 6\/1963. Put 4, -0.3, k, m in decreasing order.\nAnswer: 4, m, k, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6196 > 6209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 6) + (-8)\/(-2). What is the second derivative of 4*m**2 - 4*m**2 - 2*m**2 + m**g + 11*m wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b. Let g(t) = -4*t - 4. Calculate g(v) - 4*n(v).\nAnswer: -24*v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349706 is divided by 3720.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1183, -2371, -3535, -4663, -5743, -6763, -7711?\n\"Answer: 2*q**3 - 1202*q + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-10 - (-8 - (3 + -1))) - -5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 156?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 251 + 224 = 3*m, -5*m - 49 = -2*h for m.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17939 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: Calculate (-5)\/(-9) + (-348)\/783.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205391 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 + 7. Let x be (-24)\/(-9) + (-2)\/m. Suppose -7*v - 4*u + 204 = -3*v, -u - 173 = -x*v. What is the least common multiple of v and 18?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002006306891 to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -301, -421, -615, -883?\n\"Answer: -37*m**2 - 9*m - 255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29687, -29684, -29681?\nAnswer: -29678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 46*i + 576. Calculate d(36).\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*s + 43 - 14, s - 4*d - 42 = 0. Suppose -s = -l - 3*z - 2*z, -6 = 5*l - 4*z. Solve -m - m + l = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6194.635 kilograms?\nAnswer: 6194635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2727, -1444, -5615, -9786, -13957, -18128?\n\"Answer: -4171*a + 6898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(3*4\/4). What is the third smallest value in 6, n, 5, -2\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -55*a**4 + 11*a**3 - 232*a**2 + 2*a wrt a?\nAnswer: -1320*a + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 3*m**2 - 41 + 69.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - l - 1. Let p(u) = 4*u**2 + 3*u - 10. Let c(z) = -3*a(z) + p(z). Let x be c(-7). What are the prime factors of (8 + x\/2)\/((-12)\/(-408))?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(66) + sqrt(66) + -2*sqrt(66))*2*4)\/((sqrt(6) - sqrt(54)\/sqrt(144)) + sqrt(6) - 3*sqrt(384)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 23145738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 215404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6539 is divided by 207.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 + 3*l + 2. Suppose -16 = -4*n, -3*n + 12 = 2*t + 3*t. Let m be 2 + (-1 - t) - 3. Let z = m + 5. What is y(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1269 + -1269.1. Which is the closest to 1\/4? (a) 11 (b) y (c) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7776)\/(-2268))\/((-5)\/(-35))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49.1 - -48.934. Let p = u - -0.16639. What is p rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276765299 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 4163.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -293.516*1.6\nAnswer: -469.6256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.34 - 3.24. Let j = t - -0.4. Round j to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4599473486.\nAnswer: 2, 29, 47, 67, 25183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -90, 1, 0?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y - 6. Let s = 31 + 30. Let x = s - 50. Let q be o(x). Solve 8 = q*v - v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/7)*k**(1\/4)*((k*k**(-2))\/k)**(-3)*k**1*(k\/k**(-8)*k)\/k*(k\/(k\/k**2*k))**(-4\/9) assuming k is positive.\nAnswer: k**(4091\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4 + 346*n**3 - 6247*n**2 + 11118*n = 0. Calculate n.\nAnswer: 0, 2, 17, 327","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 264 and 4530328?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*b + 468 = 18*b. Let y = -67 - b. Is y a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 69844475*v**2 - 243912499479040*v + 243912569323520.\nAnswer: -5*(v - 1)*(v + 6984448)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -58*o**3 + 6*o**2 + 16*o. Let n(x) = 19*x**3 - 2*x**2 - 5*x. Let s = 20 - 25. Let m(f) = s*q(f) - 16*n(f). Find the third derivative of m(r) wrt r.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3556 = -52*h - 592 for h.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44042*c**3 - 22052*c**3 - 21992*c**3.\nAnswer: -2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*t**2*u**3 - 760088*t**2 + 9956*u**3 - 9 wrt u?\nAnswer: 18*t**2*u**2 + 29868*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) -0.5 (c) -4 (d) -11 (e) 11\/4 (f) -0.051 (g) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 - 9 - 69*t**2 + 23*t**2 to h + x*t**2 + w*t and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p + p + p**2 - p - 2*p. Let o be u(0). Suppose -q + 2 = o, 5*l + 2*q + 6 - 55 = 0. Solve -3*y = -2*k + 11, k = -2*y + 4*k - l for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s**2 - 58*s + 17. List the prime factors of g(26).\nAnswer: 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5047882 divided by 931?\nAnswer: 5422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 65 = 14*j - 5*j - 2*r, -r = -48*j - 16 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -49.641 to zero decimal places.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u = q - 21, -3*u - 61 = -5*q. Let g(m) = -11*m + 29*m - m - q*m. Let v(c) = 0*c**2 + c**2 + c**2. Calculate v(g(i)).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 952 and 14589400?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 20.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-64)\/160)\/((-8)\/(-70306) + 0). Let b = 3509 + d. Calculate the common denominator of b and -33\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + 2 + -5 + -10.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 34 (b) -0.5 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 2*g - 3820 = -6*p, -g = 4*p - 3820. Suppose -8*q - 187 + p = 0. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787579 is divided by 787567?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*z + 74*z - 4*q = 41, q = -5*z + 10 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c*i**5 - 2*c*i + 2*c + 27*i**5 + 35 wrt i?\nAnswer: 40*c*i**3 + 540*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-10)\/(i\/(i\/(i\/(i**(4\/7)*i)*i))))\/((i\/(i\/(i\/i**(-1\/2)))*i)\/i)**(1\/7))**(-4) assuming i is positive.\nAnswer: i**(298\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4227*n + 546 = 4233*n. What is the highest common factor of n and 962?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 9 = -g. Let f(o) = o**2 + 3*o - 7. Let n be f(-5). Find s, given that 54 - 3*s**3 - 34*s - s**g - 20*s + 2*s**n + 18*s**2 = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*v + 2*m, 0 = 2*v + 3*v - 3*m - 18 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-84)\/528 + (-23)\/(-92).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 4*u**2 + 3*u + 4. Let m be d(-6). Find z, given that 32*z - 18 - 34 - m*z**2 + 54*z**2 - 12 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/11, -1\/5, -148?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (2 - -2) + (-18 + 25 - 60) + 16.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2030*q - 60903. What is l(-30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 3 = -9. Does 4 divide ((-195)\/10 + -10)\/(s\/(-2))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = h - 4*y + 193316, -3*h + 3*y + 289929 = 0. Let l = h - 3382132\/35. Let g = l + -90\/7. What is the common denominator of -26\/11 and g?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 125393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 23 - 20. Suppose 0*g = 3*g + z. What is the units digit of (g + 0)\/(2\/(-40))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35282?\nAnswer: 2, 13, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -8.1.\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 8*b**2 - 2*b + 12. Let a(s) = 4*s**2 + 3*s - 17. Let h(g) = 5*g**2 + 3*g - 16. Let x(f) = 4*a(f) - 3*h(f). Let v be x(4). Give k(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50321 = -541*g + 44370 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -103 - -101. Which is the closest to -2? (a) -5 (b) 2\/7 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -808 (b) -0.1 (c) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 134859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**2. Let g(u) be the first derivative of 52 + 0*u**2 + 0*u + 20\/3*u**3. Give g(b(y)).\nAnswer: 500*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5756)\/(-120) - ((-5139)\/270 + 19)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -3*y - 5*p, -3*y + 3*p - 9 = -33 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -286 greater than -285?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 962 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 602 a factor of 744072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 24197 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*b**3 + 3*b**3 + 4*b**3)*(2*b - b + 0*b) in the form u*b**4 + w*b**3 + y + i*b + h*b**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6 and 4773?\nAnswer: 9546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 13*u**2 + 19*u + 64. Calculate the remainder when j(-10) is divided by 388.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -41*l. Let i(h) = -2464576*h**2. What is i(o(m))?\nAnswer: -4142952256*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - m. Let o(a) = a**3 - 5*a**2 + 5*a - 4. Let w be o(4). Let v(u) = -u**2 + u - 1. Let h be v(w). Let b(k) = 2*k**2 + 5*k. Give h*b(z) - 4*q(z).\nAnswer: 2*z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - -3 - -5 - (35 + -32).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = 6*s + 28. Let t = s + -5. Let q be (-2)\/6 + t + -1. Which is the closest to -2? (a) q (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/3880 and 79\/36?\nAnswer: 34920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156)*-1*-6 + sqrt(156))\/(sqrt(32)\/sqrt(200)))\/(((sqrt(12)\/sqrt(16) - sqrt(3)) + 4*sqrt(6)\/sqrt(2))*-5).\nAnswer: -16*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 2436*r + 494508.\nAnswer: 3*(r + 406)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320)\/(sqrt(48)\/sqrt(6)) - (1*sqrt(480))\/sqrt(12))\/((sqrt(16)\/sqrt(2) + sqrt(8))*4 - sqrt(8)*-3*4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**2 - 1. Let w(u) = 14*u**2 + 35. Give 35*s(p) + w(p).\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 1 - (119 + -121).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 7:38 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 - 2038 = -5*x + 4*h, -4*x - 3*h + 1773 = 0. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -22*t + 814. Calculate the remainder when t is divided by (-6)\/(-4) + (-51)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4362451*v = -4362155*v + 25160 for v.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -12\/61 (c) 0.4 (d) -263\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2185 and 817?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001001 (base 2) to base 4.\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12666 = 40*h + 11706 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 784579381 to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -54. Suppose -5*k = l + 3, k - 3*k - p = -2*l. Solve g + 6 = -l*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 times -16?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**2)\/(d*d**(-7\/4))*d**3\/(d*d**(-2\/13)*d) assuming d is positive.\nAnswer: d**(255\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4626*f**2 + 1 - 4741*f**2 + 9257*f**2.\nAnswer: -110*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -152?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13061 (b) 33 (c) -0.2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 7*z - 8. What is the least common multiple of a(-9) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 4, -5\/3, -5, 0.4, 2.5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*k**2 - 115 + 115 - 21*k**2.\nAnswer: 245*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -24 divided by -24\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 y when three letters picked without replacement from fyffffyyyyyyffffyyy?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pvvppvcjcvwowpc. Give prob of sequence pp.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 3 = w. Suppose 0 = -2*i + 3*i + w. What is the units digit of (0 - -1) + (-2)\/i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 651212 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: Suppose 5*f + 49 = 3*s - 7, -4*s + 5*f = -83. Let w be s\/(4\/6 + 77\/(-264)). Let q = -67 + w. Is 2 less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*u - 8*u - 20. Is 4\/u - 54\/(-60)*11874 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the second derivative of -i**5\/10 - 248*i**4\/3 - 483*i**3\/2 + 1312*i. Find the second derivative of k(y) wrt y.\nAnswer: -12*y - 1984","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 59, 56, 51, 44, 35, 24?\n\"Answer: -h**2 + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -161 + 300. Let i = z + -154. Let b(a) = -a**3 - 16*a**2 - 16*a - 12. What is b(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 0*f = -5*b + 16, -2*b + 16 = 2*f. Is f a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -548 by 2.\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1483*b - 852. What is the remainder when q(4) is divided by 124?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.999 - 1.001. Which is the biggest value? (a) h (b) 0 (c) -13\/24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 34638 and 346380?\nAnswer: 346380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) -30 (c) -2 (d) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 - (1 - (3 - -2 - -2)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38\/(-6)*(16 + -1777) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-14) - 1058\/(-1120). Let d = m + 5\/16. Which is the second smallest value? (a) d (b) 11 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -172, -315, -494, -709?\nAnswer: -960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 558194, 1116405, 1674616?\n\"Answer: 558211*p - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -l*q**2 - 3*l*q + 77*o*q**3 + 2*o*q + 91*o - 5*q**5 wrt q?\nAnswer: -2*l + 462*o*q - 100*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -393 = -2*a + 775. Suppose 5*y - 3*r - 982 = r, 5*r = 3*y - a. Is 27 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114310143.8 rounded to the nearest one million?\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17895151.\nAnswer: 17895151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -44954, 15 in decreasing order.\nAnswer: 15, 4, 1, -44954","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 81611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1795164 by 1.\nAnswer: -1795164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 263, 0, -3, -6, 24 in ascending order.\nAnswer: -6, -3, 0, 24, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - 109 - (728 - 721).\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + (4 - (-9 - (-23 - 10))).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/267 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2716.624 years in millennia?\nAnswer: 2.716624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 109*j**2 - 2*j - 13. Let t be r(0). Let c(m) = m**3 + 14*m**2 + 12*m - 1. Give c(t).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (-13 - 10)) + -7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.6 - 12.316. Let r = d + -0.18. Round r to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - o**2 + 0*o**2 - o**2 + 1 - 1 + (0*o + o + 0*o)*(2*o - 2*o - o))*(-34*o - 30 - 3 + 38*o).\nAnswer: -4*o**3 + 33*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**2 - 5292*v + 804384 = 0.\nAnswer: 168, 1596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 188734 divided by -13?\nAnswer: -14518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 23 = 2*u - 9, 0 = 2*a + 5*u + 8. What is the smallest common multiple of 5 - (-2 - (2 - a)) and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(2*k - 2*k - 2*k)*((2*k**2 + k**2 - 4*k**2)*(-2 + 0 + 0) + 9 - 9 - 4*k**2).\nAnswer: 8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.3 (b) 0.1 (c) 4 (d) 1437\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 438563534 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-2978)\/(-67005) - 1\/1035\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, z: 17}. Give prob of sequence zz.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 376839.8057 - 377016.8054361. Let z = w + 177. What is z rounded to five dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 50*p - 80.\nAnswer: -5*(p + 2)*(p + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -6 + 4 - 2*k - 2*k + 4 + 0. Let g(x) = -x**2. What is g(o(m))?\nAnswer: -16*m**2 + 16*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-6)*-4*3. Differentiate 16 + 0*a**3 + 8 - n*a**4 - 30 + a**3 wrt a.\nAnswer: -16*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -219 + 379. Let u = -158 + f. What is the third biggest value in 3, u, 0.3, 2\/11?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 92*f - 1924. Let k be l(21). Solve 2*r - 4 = r + 3*a, -3*r + 4*a - k = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/h**5*h*h\/(h\/(((h**(-1\/2)\/h)\/h)\/h*h)))\/(((h\/((h*h**4)\/h))\/h*h*h)\/h*h**(2\/3)))**(-43) assuming h is positive.\nAnswer: h**(301\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 336 and 168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1079500?\nAnswer: 2, 5, 17, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1*(3 + 3*(2 + sqrt(192)))**2 + (3*sqrt(192))**2 + 5 + -3*(3 + sqrt(192)).\nAnswer: 408*sqrt(3) + 3530","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 6. Suppose v*h + 4*z - 53 - 51 = 0, -54 = -2*h - z. Suppose d + 0*l + 4*l = -11, 2*l = 2*d - h. Calculate the lowest common multiple of 24 and d.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50.8 + -50.9. Let d = -1 - 3. Let j = 5.4 - 5. Which is the second smallest value? (a) j (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1315 + 196. List the prime factors of l.\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.5766 less than 0.2?\nAnswer: -11.3766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**3 + 1017628*d**2 - 129442790360*d - 776693377200 = 0.\nAnswer: -6, 254410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -697\/954 + 101\/106. Solve 2\/9*g**5 + 2\/9*g**4 + 0 - 2\/9*g**3 + 0*g - k*g**2 = 0 for g.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 28920419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -59054944 - 1517.\nAnswer: -59056461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 2*l - 4*l - 44 = 0, 5*l - 115 = -4*m. Suppose -s = -2*n + 34, -n + m = 2*n + 5*s. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3900 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 1:04 AM?\nAnswer: 3:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -365*q**7\/14 - 383*q**3\/6 - q**2 - 406*q - 3. Find the second derivative of l(u) wrt u.\nAnswer: -21900*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, -4, -3\/4 in decreasing order.\nAnswer: -3\/4, -4, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 772*w - 12069. Give m(16).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of r*z - 452*r - 7*z**4 - 2*z**2 + z + 14 wrt z?\nAnswer: r - 28*z**3 - 4*z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 381, 3, -4, -15, 4 in decreasing order.\nAnswer: 381, 4, 3, 2, -4, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u*u**5*u**(-1\/2)*(u**(-2\/5)*u)**(2\/17) assuming u is positive.\nAnswer: u**(1117\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 16 = 4*o - 5, -p - 12 = -5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(38)*-4)\/sqrt(2))**2 - (5 + sqrt(171)\/sqrt(9))*3.\nAnswer: -1231 - 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*i + 2*i - 7*i - 3*i)*(485*i + 210 - 979*i + 496*i).\nAnswer: -46*i**2 - 4830*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -3 (b) 5\/2 (c) -35 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 204.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + sqrt(153)*-1*3 - (-6*((sqrt(153) - -2*sqrt(153)) + sqrt(153)) - sqrt(153)))\/(-1*sqrt(9)*3*-2)*-4.\nAnswer: -46*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1084 - -2274. What are the prime factors of r?\nAnswer: 2, 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*i - 4284 + 1050 = -29*i for i.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-2)*(-728)\/42. Suppose 5*i - 276 + r = 0. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 53*n - 19. Let k(c) = 53*c - 21. Let l(p) = 5*k(p) - 6*q(p). Find the first derivative of l(u) wrt u.\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4604.\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 13\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5)\/(30\/(-4)))\/(6\/27). Let g(a) = -2*a**3 - 3*a**2 - 3*a - 1. Let z be g(-2). Calculate the greatest common factor of z and f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 4*x + 12 = 0, 5*i = -3*x + 6*x + 15. Let a = 11231 - 11227. Solve 0 = l - 5*l + i*w + 29, 12 = -a*w for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*v - 220 = -2*t - 32*v, -113 = -t + 4*v. Calculate the remainder when t is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/130 and -15\/26.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 5, 0.4, 2.8, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/(u**(-1\/3)*u))*u)**(-26)*(u**(1\/5))**27)**(-9) assuming u is positive.\nAnswer: u**(2877\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + -10. Let d(g) = g**3 + 11*g**2 + 7*g + 9. Let w be d(c). Suppose -w = 6*y - 135. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, 427 in ascending order.\nAnswer: -4, 3, 427","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.853 - -4.147. What is the smallest value in -0.304, 4, n?\nAnswer: -0.304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1159 + -1019.6. Let i = -7405 - -7266. Let s = t + i. What is the closest to 0 in 5, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 4*o**2 + 5*o - 4. Let b be p(3). Let n = -16 + 28. Suppose -n - 8 = -2*x. Solve -3*r - 9 = -5*a, 4*r + b = 4*a - x for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + (1 + (5 - 2) - 8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 10*b**2 + 9*b + 4. Let o be r(9). Suppose -3*h = -o*h. Suppose -2*f - 3*g + 10 = -g, f - 4*g = h. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**3 + 5*q**2 - 64*q + 15. Let a(r) = 6*r**3 - 5*r**2 + 73*r - 16. Give 7*a(u) + 8*v(u).\nAnswer: 2*u**3 + 5*u**2 - u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 + 6*m + 6. Let n be t(4). Let r = n - 56. Calculate the remainder when r is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((-2)\/4) - -1. Suppose 0 = g*r + a - 6, 0 = 2*a - a. Solve -r*d = -3*j + 10, 2*j + 2*j - 3*d = 15 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 305, 302, 295, 284?\nAnswer: 269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/10 + (-8)\/10. Let l = 3653\/2 + -1829. Which is the closest to 0.1? (a) -1 (b) r (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/8898 and (-15 + (-4494)\/(-112))\/(12\/16).\nAnswer: 8898","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrzrrszsrrzrsszrr. What is prob of picking 1 r and 2 s?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*v - 19143 = 31*v. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 5*q + 19, -9*v = -4*v - q - 39. Calculate the highest common divisor of 8 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -2*v + 34, -q - 3*q + 5*v = -77. Suppose q*j - 13910 + 2894 = 0. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43821 is divided by 264.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -564 - -565. Which is bigger: -4.1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4))**(3\/19)\/((m*(m*(m*m**(-10)*m)\/m)\/m)\/(m\/m**7*m)) assuming m is positive.\nAnswer: m**(45\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 = -y - 5*p, 0 = -2*y - 20*p + 23*p + 695. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2438 is divided by 637.\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2908 and 4362?\nAnswer: 8724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4901*x**2 - 15533*x**2 - 13570*x**2 - 180*x**2 to s + z*x**2 + o*x and give z.\nAnswer: -24382","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22*v**3 + 74*v**2 + 68*v + 16.\nAnswer: 2*(v + 1)*(v + 2)*(11*v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -61658, -123405, -185154, -246905, -308658?\n\"Answer: -o**2 - 61744*o + 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 837 - 4188\/5. Is k smaller than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -482741 (base 11) to base 9\nAnswer: -1385203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 5*k = -36 - 106, k - 104 = 2*l. Let i = -52 - l. Suppose o = 2*j + 8, 22 = -6*j + i*j + 5*o. Which is the smallest value? (a) j (b) 1 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 5*w - 12. Give z(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - 376826?\nAnswer: -376838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2448593196?\nAnswer: 2, 3, 7, 1579, 18461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -13114220 (base 5) to base 6\nAnswer: -2434354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3 (b) 4 (c) 2\/277 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -283808, -1135238, -2554290, -4540970, -7095284, -10217238, -13906838?\n\"Answer: -x**3 - 283805*x**2 - 8*x + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-4)*8\/6. Suppose x*m - 8 = m. Let j be 358\/m - (-2)\/8. Calculate the greatest common divisor of 18 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, y: 4, o: 2}. What is prob of picking 2 o and 2 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.14, -3, -3\/4.\nAnswer: -3, -3\/4, -0.14, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-3*-1)**2 + sqrt(11) - (sqrt(176)*2 - sqrt(176))**2.\nAnswer: -77 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 2*(sqrt(288) - (1*sqrt(288))**2))*6 + 1*(sqrt(288) + 1 + -2*sqrt(288))*-5.\nAnswer: -3449 + 204*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and (456\/40 - -1) + 4\/(-10).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 + 40. Let a = u + -122.3. Let r = a - 6. Is 1 != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 1 - 3)*(-5 + 4 + 4) + 81 + 8 + 38)*(2*g**3 + 0*g**3 + 5*g**3).\nAnswer: 910*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 11*g**2 - 9*g - 9. Let u(b) = 5*b**2 - 4*b - 4. Let v(t) = 4*r(t) - 9*u(t). Let q(a) = 41*a**2 - 78*a**2 + 41*a**2. What is v(q(f))?\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3325813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*c - 23*c - 18*c.\nAnswer: -95*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 456814, 456810, 456808, 456808, 456810?\nAnswer: 456814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 5*u - 4. Let x be (-50)\/40*(-1 - 3). Determine v(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2013 + -2007. What is the greatest common divisor of 786 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-19)\/(-19)*(-3 - -1526)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + h + 851, -4*i + 0*h + 1701 = -h. Calculate the highest common factor of i and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 181, 162, 143, 124?\n\"Answer: -19*q + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 + 6*m - 32. Let z be j(5). Let c be 1 + 3\/(3\/74). Let w = c - z. Solve -2*x = 3*h + w - 3, -h + 2*x + 11 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 95484 - -28303. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (6 - 1\/1). Suppose -5*o + 416 = -g*k - 12, -2*o + 5*k + 178 = 0. What is the greatest common factor of o and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is ba - 5?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25381 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*f + k, f - 2*k = -4*f + 22. Suppose -5*c + f*j = 52, 3*c - 8*c + 2*j = 56. Calculate the remainder when 68 is divided by ((-112)\/c)\/(4\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.17 - 167499124918.1\nAnswer: -167499124914.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 + 0.090370975712?\nAnswer: -9.909629024288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (8*d + 5*d - 54*d)*(0 - 3 + 4)*(-2 + 2 + 4*d**3) in the form j*d**2 + a*d + s*d**4 + x + l*d**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16605)\/(-6150)*5\/18?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 423*z = 418*z - 5351, 0 = -4*d + 3*z + 7120. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -2) + 19*(-110)\/(-418).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2\/4 + 27975*f\/4 - 83979\/2.\nAnswer: 3*(f - 6)*(f + 9331)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 22113.\nAnswer: 22114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 + 0 - 3)*(0 - 2 + 1) - 4 - 1 + 4)*(-x - 4*x + 7*x).\nAnswer: 18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/288 and 173\/11279040.\nAnswer: 33837120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d**(2\/5))*d**(-7\/3)*d)**(-4\/17)*((d**(-1\/3))**(-2\/45))**(-41) assuming d is positive.\nAnswer: d**(82\/2295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from {p: 2, r: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**5 + 15058*x**4 + 211106*x**3 + 739214*x**2.\nAnswer: -2*x**2*(x - 7543)*(x + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -5*v**2. Let p(d) = 13*d - 5. What is p(w(i))?\nAnswer: -65*i**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/(-21) - (-128)\/3. Let w = y - 169\/4. Which is smaller: 0 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/453424 and -97\/86.\nAnswer: 19497232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 909821507?\nAnswer: 7, 129974501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 2, l: 1, c: 1, n: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 148*k - 181. Determine q(4).\nAnswer: 411","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 11*u = 3*s - 354, 3*u = 4*s - 458. What is the least common multiple of 407 and s?\nAnswer: 4070","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -649883, -1299765, -1949645, -2599523?\n\"Answer: t**2 - 649885*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2455*h**2 - 610*h**2 - 806*h**2 + (h - 2*h + 2*h)*(-h + h + h))*(0*h**2 + h**2 + h**2).\nAnswer: -7740*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4 - -0.6. Let o be ((-12)\/10)\/((-9)\/30). Put o, 5, v in increasing order.\nAnswer: v, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 238 = -2*d - 2*m, m - 640 = -5*d. Let x be (1 - 2) + -2 + d\/45. Let j be (-3)\/(-1) + (-4)\/2. Is x < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 410*g + 16 - 16.\nAnswer: 410*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0765 and -35.7313?\nAnswer: 35.8078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 1, 3, -3.\nAnswer: -5, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73\/33 + 504\/319. Calculate the common denominator of 1\/2 - (6486\/(-108))\/23 and r.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786 is divided by 202?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 409217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/9, 3\/2, -8159\/3, 0.1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/61, -2\/21, -0.49, -2\/19 in increasing order.\nAnswer: -0.49, -2\/19, -2\/21, 6\/61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 14 = -26. Suppose 0 = -3*d + 94 + c. What is the remainder when d is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of 5*v**4\/2 + 67*v**3 - 4909*v + 1746. Differentiate p(a) wrt a.\nAnswer: 30*a**2 + 402*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21213 + 1?\nAnswer: 21214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6828572.\nAnswer: 2, 29, 37, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 999 + -997. Solve -3*j = -3*v - 6, 5*j = v + q*v + 12 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 78724050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -64790 + -5?\nAnswer: -64795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23815 - 25246 = -53*o for o.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 plus 2658854533403?\nAnswer: 2658854533393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61 + 40. List the prime factors of 169 + (-7)\/v + (-2)\/6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 3*y**2. Let r(k) be the second derivative of 0 - 1\/12*k**4 + 0*k**2 + 0*k**3 + 3*k. Calculate h(r(g)).\nAnswer: 3*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4770 and 1777779.\nAnswer: 17777790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*b - 44 + 542 = -56*b for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, -0.1702, -1?\nAnswer: -0.1702","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 7*x + 8. Let h be z(6). Find the second derivative of -2*j + 3*j**2 - 2*j + 5*j**2 - 3*j**h wrt j.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-10 - 5) - -18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i + 1\/2*i**4 + 24 + 41*i**2 - 25*i**3. What is the second derivative of v(b) wrt b?\nAnswer: 12*b - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 25*f*v*y - 72236242*f*v + 86052*f*y + 2*f + 2*v - 7*y**4 wrt y.\nAnswer: 25*f*v + 86052*f - 28*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -209 + 236 - (-4 + -17 + -3 + 5)\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28603860*y**2 + 18397393.\nAnswer: 57207720*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -343, -683, -1029, -1381, -1739?\nAnswer: -2103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 58.97, 44 in decreasing order.\nAnswer: 58.97, 44, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 319680.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1364 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262 = 13*j + 67. Let i = -319 + 371. What is the remainder when i is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z\/((z\/(((z\/(z\/(z**(-1\/2)*z)))\/z)\/z))\/z*z))))**29\/(z**(-2\/7))**(-20))**(-39\/7) assuming z is positive.\nAnswer: z**(26871\/98)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2338.732 + -2339. Let x = 997 - 996.058. Let p = j - x. Round p to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03234121785096 take away 0.12?\nAnswer: -0.15234121785096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/4 of a kilometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 20*o**3 - o**2 + o. Determine b(-2).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 899, 2127, 3691, 5591, 7827?\n\"Answer: 168*f**2 + 724*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2 - 21297*a - 6913530.\nAnswer: 3*(a - 7410)*(a + 311)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -186*b + 19 + 24 + 16 - 58 + 2*b - 3*b + 0*b + (0 + 0 + b)*(-1 + 3 - 1) + 4*b - 2*b + 0*b - 2*b + b + 3*b in the form a + i*b and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*z**3 + 56*z**2 - 10*z**3 + 35*z**3 + 11*z**3 wrt z?\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 < -109\/138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.15081 + -0.152. What is f rounded to four decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, -56, 697, -12, 0, -8 in ascending order.\nAnswer: -56, -12, -8, -3, -1, 0, 697","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10056989 is divided by 352.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 3818338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42 is divided by 33.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3612210 divided by -105.\nAnswer: -34402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) + 3 + 1)**2 + (sqrt(153) + sqrt(153) + -2)*3 + (sqrt(153) + (-3*(sqrt(153) + 2))**2 + -5)*-1.\nAnswer: -1245 - 69*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4424 = -11*j + 12*j. Let y = -2987 + j. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0478071953 to 3 decimal places.\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (20\/6)\/(66\/99) - 0\/(-1). Sort r, 3, 0, -76, -4.\nAnswer: -76, -4, 0, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2461 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 d = 3 - -12. Let j = 48 - d. What are the prime factors of j?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 3182338?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by (-858)\/(-14) - ((-35)\/49 + 1).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-88410)\/560)\/((-2)\/24)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 70618.13m?\nAnswer: 70618130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.21, 1\/16, -8 in ascending order.\nAnswer: -8, -0.21, 1\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 41785665 divided by 5.\nAnswer: 8357133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1808 - 3623 + 1815 - 2*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -61366, -61483, -61600, -61717, -61834, -61951?\n\"Answer: -117*l - 61249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -28.08.\nAnswer: -24.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 6 = 0, 0 = -b - 18*h + 16*h + 179. What is the remainder when b is divided by 47?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168694 is divided by 168323.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42051 - 30040. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 315158933 to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 0) + 11 + -10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 2*o + 6 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 20*z - 30. Let c(x) = -18*x + 31. Let n(s) = 6*a(s) + 7*c(s). Does 24 divide n(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21091 and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2918 + -1526. Let a(d) = 1524*d - 97. Let h be a(2). Let x = h - m. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.779 - -297.379. Let c = j + -342. Round c to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - 436\/9 - (-2 + -1). Let d be 268\/6 - (-1 + -1). Let n = d + w. Calculate the common denominator of n and 119\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94437317.\nAnswer: 13, 83, 87523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 18 + -7)*(-1019)\/(-3). Let q be 874\/(-4)*(4\/1)\/(-2). Suppose -4*g + j - q = 0. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(63) - sqrt(567)) + 1)*-2 + -3 + -4)**2.\nAnswer: -216*sqrt(7) + 1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 194.4541mm to nanometers.\nAnswer: 194454100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -7*t - 10. Let m(p) = 4*p + 7. Let k = -81 + 88. Let d(g) = 11*g + 20. Let b(x) = k*m(x) - 2*d(x). Determine -5*b(w) - 4*h(w).\nAnswer: -2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2808 + 2810. Which is the closest to 4\/3? (a) -4\/5 (b) r (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4345 - 2?\nAnswer: -4351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 + 75 + 290580*q**3 - 290587*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1601022 to three dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k + 67. Let u(t) = 4*t + 34. Let g(v) = 5*u(v) - 2*w(v). Let c be g(-6). Solve x = -f - 2, -x + c*f + 22 = -5*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87688.820179 + 36.\nAnswer: 87724.820179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from zzn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 342 = 4*g, 2*p + 15 = -p. Let w be (-415)\/g*1*(0 - 1). Let m(v) = -3*v**2 - 5*v - 3. Let t(y) = -y**2 - 3*y - 2. What is w*t(r) + 3*m(r)?\nAnswer: -4*r**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 26 = -46. Let o(d) = -37*d**3 + 3 - 2*d**2 + d - 1 + 3*d**3. Let u be o(-2). What is the highest common factor of f and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011011111101000101101 (base 2) to base 7.\nAnswer: 34416511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -5 - (8 - 7 - 1). Let d(u) = 5*u + 2. Give d(j).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g - 6. Sort 4, -1, -4, g in descending order.\nAnswer: 4, g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 43512 and 2229990.\nAnswer: 8919960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1493 in 1\/13, 0.2, 0.83?\nAnswer: 0.83","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tndkotttt. Give prob of picking 1 d, 2 t, and 1 o.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 1:06 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 5*i - 1 = 3, 0 = k + 4*i + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-20)\/8 + (1 - (-19933)\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 - 5*l + 3. Let q be u(-4). Let k = q + 0. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 4*n - 35. Let x be (-6)\/n*63\/(-18). Solve -4*g - 12 = -0*g + 4*p, -3*p + 15 = -x*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 + 36*w - 36*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = 3*a + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 21156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**4 + 40 + 35 + u - 80 + 9*u**2 to the form p*u**3 + y*u**2 + o*u**4 + i + d*u and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ony when three letters picked without replacement from {o: 4, y: 1, a: 2, n: 2, v: 1}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2160504209 to the power of 1\/3, to the nearest integer?\nAnswer: 1293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -7*p - 12*p - 3 - 26*p**2 + 7 - 15. Let u(a) = 9*a**2 + 6*a + 4. Let x(q) = 4*g(q) + 11*u(q). Find o such that x(o) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2306, -0.056, 2\/9, -2.2?\nAnswer: -2306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 27*q**4\/5 - 818676*q**3\/5 + 7638447*q**2\/5 + 5365194*q\/5 + 181872 = 0.\nAnswer: -1\/3, 10, 30312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14652 divided by -6\nAnswer: -2442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 39620 or 39623?\nAnswer: 39623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 72 and 0.975.\nAnswer: 72.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -194\/3 + 64. Let o be -2 + 3*(-13)\/(-15). What is the nearest to l in o, -1\/7, 1\/2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 117 (b) -25 (c) 73\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13560 and 8880.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4244 + -1407. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-11))\/d)\/(d**12*d)*d**(4\/3)\/(d**(-2\/3)\/d) assuming d is positive.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from ummmmoaaomrormr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 7. Suppose 5*i = -5*k + 5, 3*i + i = 0. Let o be 1 + (-12)\/16 - 1\/k. Which is the nearest to l? (a) -0.1 (b) -3\/8 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 128, 1\/20, -20, 30 in ascending order.\nAnswer: -20, 1\/20, 30, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3969.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46161?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2186*i + 13131. What is l(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10322\/10 + 318\/(-265). Let x = 1770 - h. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-6\/11)\/l**(-4\/11))\/((l\/(l\/(l**(-4)*l)*l*l))\/l**2))**(-1\/8) assuming l is positive.\nAnswer: l**(-75\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 2 - 1) + 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/14 - (-783124)\/(-70). Let a = 11125 + j. Let r = -62 - a. Which is smaller: 1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 813 + -810. Let w be -6 + 9 - (0 + 3). Suppose w = -o*k + 5*k + 13640. What is k rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 695, 0.4, 191, -0.5, -3\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 6:02 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1.9398 (b) 0.1 (c) 39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*a = -120, 46 = 5*t - 5*a - 264. Is t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/4, -0.2, -1\/78, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 + 17*o**2 - 18*o + 8. Let a(m) = -m**2 - m - 2. Let z be a(0). What is the remainder when d(-18) is divided by 3 - (z\/(-1) - 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9792*t - 2314*t - 3238*t - 2576*t.\nAnswer: 1664*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p - 30. Let k be z(8). Let l = 123 + k. Suppose -4*f + 4*q + 8 = 0, 4*f - 3 = -4*q + l. Solve -f*o + 3*o = -4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/234)\/(30\/45).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/(30558\/(-15283)) + 105\/(-70). Let u = j + -443099\/20372. Find the common denominator of (3 - 0)*62\/(-9) and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*i**2*o**2 - i**2*o - 2*i**2 - i + 3*o**2 - 25*o wrt i?\nAnswer: -38*i*o**2 - 2*i*o - 4*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**3 + 1282496*m**2 + 87195856*m + 1482250944 = 0.\nAnswer: -320556, -34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -5074, -20347, -45784, -81373, -127102, -182959, -248932?\n\"Answer: 2*m**3 - 5094*m**2 - 5*m + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/5 - (-874)\/190. Solve -d*q + 21 = -12*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 220201222121 (base 3) to base 5.\nAnswer: 111040321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*i - 272367 = -3*k - 16*i, -k + 3*i = -90805. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -119 + 8. Let s = -61 - g. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.35 - -0.5. Let f = m - 7.15. Let j = f - -6.94. Round j to 2 dps.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.033757928 times 2?\nAnswer: -0.067515856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 8*o**2 + o - 1. Let x be i(8). Solve -11*k = -x*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 + 9*l**2 + 13*l - 1. Let h be (22\/(-6) + 2)*27\/9. What is the remainder when w(h) is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5159681 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 + 93 = 42*n. Let l(f) be the first derivative of 1\/5*f**2 + 2\/15*f**n + 0*f - 1. Let l(v) = 0. What is v?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -7*n**2 - 2*n. Let i be r(-2). Let b(q) = 2022*q**2 + 2*q - 2. Let g be b(1). Let v be 2\/(-8) - g\/i. What is the highest common divisor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 145308 and 30624?\nAnswer: 370826016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b - 216 = 15*b - 726 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 5*r + 5*y, -2*r + 8 = y + 6 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2412708929 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1.2+-0.04104995062\nAnswer: -1.24104995062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11701*n**2*p - 53*n**2 - n*p + 703*n - 356*p + 1 wrt n?\nAnswer: 23402*p - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -580900, -580868, -580814, -580738?\nAnswer: -580640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 - (56\/(-12) + 530\/(-159)). Let w(n) be the second derivative of -n**4\/12 + 11*n**3\/6 - 8*n**2 - n. Calculate w(s).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*l + 4*l. Suppose -3*z - 5*a - 1 = -3, 0 = -l*z - 4*a. Solve -r + 5*s - 13 = 2*s, -2*r = -z*s + 18 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/31))\/d**(2\/9))**(7\/3)\/((d**(-1\/4)\/(d\/d**(-6)))\/(d**2*d)**19) assuming d is positive.\nAnswer: d**(220681\/3348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2217 - 1861. What are the prime factors of j?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 304\/(-64) - (-15)\/3. Let s be (-2)\/3*(-5)\/(-2). Which is the nearest to 1\/5? (a) t (b) -4\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27587611 is divided by 1281?\nAnswer: 1276","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -2*l + 4. Suppose 381 = 15*h - 414. Calculate the remainder when h is divided by o(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**2 - 210 + 320 + 491 in the form p*t**2 + f*t + u and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 240 = -17*f. What is the highest common divisor of 80 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v**3 - 6*v**2 - 34*v - 16. Let s(p) = -2*p**3 - 2*p**2 - 11*p - 5. Determine -16*s(g) + 5*y(g).\nAnswer: 2*g**3 + 2*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (-576 - -573)\/((-116)\/122 - -1).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2492*w - 46. Let b(x) = -1662*x - 30. Let o(l) = -8*b(l) + 5*j(l). Let a(t) = -t. Give a(o(z)).\nAnswer: -836*z - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of 0*a + 0*a**4 - 2\/7*a**7 + 0*a**2 + 0*a**6 + 0*a**5 - 8\/3*a**3 + 3. Find the third derivative of t(g) wrt g.\nAnswer: -240*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -2*w**5 - 124564*w**4\/9 + 2218342*w**3\/9 - 4203392*w**2\/3 + 21564088*w\/9 + 5439392\/9 = 0.\nAnswer: -6938, -2\/9, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004128 rounded to five dps?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1051 + -1053. What is the nearest to x in -1\/8, -33, 2?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 977.06 - 977. What is the biggest value in p, 2\/9, -4\/5, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201, -1835, -6437, -15543, -30689, -53411?\nAnswer: -85245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y**5 + 5164*y**4 + 547646*y**3 - 7006184*y**2 - 13015480*y + 6292000 = 0. Calculate y.\nAnswer: -100, -2, 2\/5, 13, 605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1122021002 (base 3) to base 9\nAnswer: -48232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130657 (base 9) to base 4.\nAnswer: 103112212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/113, 0.3, -4.\nAnswer: -4, -2, 1\/113, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*l = -24, 3*l = -3*w - 2*l + 64. Let d = -18 + w. Solve -4*s - s = d for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -449503434 - -449503429.99000702. Let a = b + 4.01. What is a rounded to seven dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49357.1ng in milligrams?\nAnswer: 0.0493571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-26)\/(-6) + (-2)\/(-3). Let g = -1448 + 1453. What is the greatest common divisor of w and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -868950 divided by -6?\nAnswer: 144825","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 41, 8131, 21611, 40481, 64741, 94391, 129431?\n\"Answer: 2695*o**2 + 5*o - 2659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24955 and 16761917.\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**4 - k**4 - 2*k**4 + 6*k**4 + 6*k**3 - 2*k**4 - 5*k**4 + (k + k - 3*k)*(93*k**3 + 48*k**3 + 10*k**3).\nAnswer: -150*k**4 + 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 42\/11 + ((-432)\/44 - -10). Suppose -4*x + 317 = u, m*x = 5*u - 4*u + 307. Which is greater: x or 76?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4442, -4441, -4436, -4427?\nAnswer: -4414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.9827468us?\nAnswer: 0.0009827468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 3*z - 8 = 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4246.379 years in centuries?\nAnswer: 42.46379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1951514 weeks to days.\nAnswer: 1.3660598","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4929, 39437, 133113, 315543, 616313?\n\"Answer: 4931*w**3 - 2*w**2 - 3*w + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i - 4. Let p be x(-2). Suppose 0 = -p*y - 3*y + 15. Let o(d) = 2*d**2 + 2*d - 3. What are the prime factors of o(y)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*u + 52656 = -643*u for u.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 12, -453, 1\/73 in decreasing order.\nAnswer: 12, 1\/73, -11, -453","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49281398?\nAnswer: 2, 24640699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 46, -419, -1202, -2303?\n\"Answer: -159*f**2 + 12*f + 193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*l**2 + 39*l - 22*l**2 + 98*l - 15*l + 6*l**2 in the form f + k*l**2 + p*l and give p.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 2*t - 25 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31124, -31152, -31196, -31256, -31332?\nAnswer: -31424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 280 and 7262255?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) -2\/21 (c) -0.3 (d) -3\/11 (e) 5 (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 1.26, -0.2, 4\/7, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j**2 + 91*j + 496. Calculate r(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 15 = -1551*h + 1552*h, 3*a + 3 = -2*h for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2. Let u(i) be the second derivative of -i**4\/12 - 24*i. What is u(v(y))?\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -194*b - 3585. Calculate u(-9).\nAnswer: -1839","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*l**5 - 72*l**4 - 88*l**3 - 32*l**2 + 12*l + 8.\nAnswer: -4*(l + 1)**4*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((8 - (0 - (10 - (-11 - -23)))) + -13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*c + 8*c - 39*c to the form i*c + r and give i.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from foofdffooo. Give prob of picking 1 o and 3 f.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + -5496809728129.3.\nAnswer: -5496809728129.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -11. Solve 0 = 5*o - x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1916 = -9*f - 62. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2913.31 years in millennia?\nAnswer: 2.91331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93*a**2 + 797*a**2 + 718*a**2 + (4 - 4 - 2)*(-a**2 - 2*a**2 + 2*a**2).\nAnswer: 1610*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -212, -422, -632, -842?\n\"Answer: -210*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a meter in millimeters?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2411 - -24?\nAnswer: 2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.04, 152, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 PM and 2:20 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-1\/3))**(-45))**(-13\/4)*(d*d**(-2\/15)*d*d**(3\/2))\/((d\/(d\/(d\/(d*d*d\/(d\/(d**1*d))*d))))\/d**(-1\/2)) assuming d is positive.\nAnswer: d**(3028\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-74*a + 19*a - 14*a + (0*a + 6*a - 2*a)*(1 - 1 + 1))*(10*a - 10*a**2 - 10*a).\nAnswer: 650*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + 2. Suppose -16 = -4*h - 0. Suppose 3*a - 3*c = c + 90, 38 = a - h*c. What is the remainder when a is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in months?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -51*m + 2600. Let i be g(51). Let c(z) be the second derivative of 5*z**4 - z**3\/3 - z**2 + z. Is 23 a factor of c(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 787611\/31581 - (-2)\/33.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 23) + (-15 - -14 - 0 - -7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.18 + 104141.465?\nAnswer: 104119.285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 41 = -3*i + 36 - 83, 9*z = -27 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58937965?\nAnswer: 5, 11787593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17\/4 + -23\/4. What is the nearest to -2\/3 in i, 1\/14, -4?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 947158161?\nAnswer: 3, 315719387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1314 + 2?\nAnswer: 1321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-34)\/((-2652)\/585))\/((-5)\/(-12)). Solve f*b - 98 + 116 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1081 - 1070) + 68 + 1?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1533 + -231481\/151. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/10825332 and -41\/6?\nAnswer: 10825332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1937998 is divided by 3915?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3170454 is divided by 13548?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1ea672 (base 16) to base 13.\nAnswer: 554398","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 41*q**4 - 163414*q**3 - 50909916*q**2.\nAnswer: 984*q - 980484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 367*u**3 - 4 - 2*u**2 - 368*u**3 + 3*u. Let f = 1 + 2. Suppose -5*c = -2*w + 30, -3*c + 6*c - f*w + 27 = 0. Give k(c).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8111 times -0.09\nAnswer: -729.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -291.2 - -20.2. Let d = r - -270.6. Let w = 7 + -4. What is the closest to w in d, 5, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + 85\/(-119)*-14. Let w = 39 + 26. Calculate the highest common factor of n and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -10. Let l = 5 + -9. Let i = l - -4. Which is the closest to 2\/5? (a) 5 (b) i (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3137 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-279)\/1674)\/(-7*(-2)\/6)?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2057 by -17.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 AM and 9:00 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -4*z - 4, -z - s - s + 11 = 0. Let a be (-21)\/(-3) - z*1. Suppose -k - 1 = 0, 3*o - k - 39 = -a*k. What is the remainder when 55 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1988354 is divided by 116?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l + 1. Let c(w) = -3*w - 2. Let z be c(2). Calculate the least common multiple of (-1)\/(z\/6)*20 and k(-6).\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -4*g + 4*v, -4*v + 44 = 454*g - 460*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1596\/684)\/(7\/12). Calculate the greatest common divisor of 2866 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802271 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.7 in 6, 1\/73, 2\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 3*c - 4 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 151 = -13*i - 81, -l = 4*i - 19 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5445 + 6*x**3 - 5445 + 4*x**3.\nAnswer: 10*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 47505 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*d - 7, -2*d - 9 = 5*y. Let i(t) = -9 - 9 + 7*t - t + 21 + 18. Let z be i(y). Solve 5*q - 3*l + 37 = 0, -3*q + l = -z*l + 31 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22*n*q*y**3 - 9*n*q*y**2 - 11*n*y**3 + 3*n*y**2 + n*y - 2*q*y**3 + 77*q*y - y**3 wrt y?\nAnswer: -132*n*q - 66*n - 12*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*k = -51, 2*t - 4*k - 15 - 11 = 0. What is the highest common factor of 504 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -119a78dc - 2?\nAnswer: -119a7900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5205 = v - 2*c, 10*c - 9*c - 2 = 0. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 28804\nAnswer: 5\/28804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-164 - -152) + (22 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 5 - 1 - 11392*t + 16.\nAnswer: -11392*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -3230804\/7?\nAnswer: -3230804\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27388?\nAnswer: 2, 41, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(3 - (-1 + -7)). Let h be l + -42 - 30\/17. Factor 2\/17*d**3 + h*d + 0 + 6\/17*d**2.\nAnswer: 2*d*(d + 1)*(d + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1261 times 22?\nAnswer: -27742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -147*h. Let x(j) = 82*j. Let k(b) = -5*o(b) - 9*x(b). Suppose -2*c - 3*c = -10. Let w(i) = -c*i + 4*i + i + 4*i. Determine k(w(t)).\nAnswer: -21*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 10 - 2. Suppose -5*c + b*h = -0*h - 48, 3*h - 28 = -5*c. What is the remainder when 31 is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4520.410836 + 56.59.\nAnswer: -4463.820836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-6)\/q*q*(q*q**9\/q)\/q*q*q*q)**30*(q**(-2\/7)\/q*q)**(-33)*q**(-3)\/(q\/((q\/(q**(-2\/9)\/q)*q)\/q)*q) assuming q is positive.\nAnswer: q**(11759\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (165*u - 333*u + 156*u)*(-1 + 2 + 0) to the form b*u + a and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 6*w**2 + 6*w + 7. Let x be i(-5). Suppose x + 9 = -m. Put 2, -5, m in ascending order.\nAnswer: m, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9193063 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 522905349 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 259, -4, 52, -2, -1 in descending order.\nAnswer: 259, 52, -1, -4\/3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x\/x**(-3\/7)*x**(8\/5)\/x)**(3\/16) assuming x is positive.\nAnswer: x**(423\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -64 * -2.54.\nAnswer: 162.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 22*r**2 + 15. Let i(a) = 9*a. Let o(u) = -28*i(u) + 6*t(u). Let n(x) = -3*x. Determine o(n(z)).\nAnswer: -36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -184 + 184.81. Let m = -4699929.81000076 - -4699929. Let l = h + m. Round l to seven dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, 0.2, 115 in descending order.\nAnswer: 115, 0.2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/13 in -506713, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1180124 is divided by 131.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18396933.\nAnswer: 3, 29, 103, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3444 + 57*o - 3443 + 319*o in the form q*o + p and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from zzqzzq?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/((j\/j**(7\/2))\/j)*j*j)**(-2\/59) assuming j is positive.\nAnswer: j**(-17\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -3*b**3 - 25*b**2 + 14*b - 34. Let g(w) = 2*w**3 + 17*w**2 - 9*w + 23. Let o(y) = 7*g(y) + 5*l(y). Calculate o(-7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3 + (-88)\/(-30))*(-2050)\/(-420) and 95\/84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 3) + (-63)\/(-81). Suppose 0 = -2*f - 0 + 2. Which is smaller: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12735 - 4242 - 4251 - 4242 + 1630*i**2.\nAnswer: 1630*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in six fifths of a microsecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -400 + 389. Let s(o) = -10*o + 28. What are the prime factors of s(i)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21214, 0.2, 0.03, -3, -1, -2.\nAnswer: -21214, -3, -2, -1, 0.03, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2456 and 544004?\nAnswer: 1228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2\/3 (b) -0.4 (c) -1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1212, 9750, 32906, 77988, 152304, 263162, 417870?\n\"Answer: 1218*v**3 + v**2 + 9*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -480*k**3 - 478*k**3 + k - k + 972*k**3.\nAnswer: 14*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**4 - 132*j**3 - 410*j**2 - 276*j.\nAnswer: 2*j*(j - 69)*(j + 1)*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 13*a**2 + 15*a + 18. Suppose 3*v + 27 = -15. Let b be c(v). Solve -5*o + 1 = 2*h, -b*h - 4*o = h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-22) + (-15)\/(-990). Which is bigger: p or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*g = 25*g - 109*g + 5689 + 3053 for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -21, -1, 0.08, -5, -0.2, -7?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37857.21 - 37857.86999934. Let j = 48 - 48.66. Let a = j - l. What is a rounded to 7 decimal places?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18)\/(-135)*((-6)\/(-4) - 0)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 249890 = -6*a + 4*a, 15 = 3*a. Round c to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26 + -25.5. Let h = 3.97 - -0.03. What is the second biggest value in -7, h, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000571 to seven dps.\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + (sqrt(63) + sqrt(63)*2*-1 - sqrt(63)))\/sqrt(9) + ((sqrt(448)*-1 - sqrt(448))**2 + sqrt(448))*-4.\nAnswer: -7168 - 33*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1020\/160)\/(31\/((-16740)\/1255) - (-2)\/27)\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 186535936 divided by -64\nAnswer: -2914624","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1032*j**6*q**3 + j**2*q**2 + 64*j**2*q + 2*q**3 wrt j?\nAnswer: 123840*j**3*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 7*a**2 - 16*a + 10. Let t be b(6). Does 4 divide t\/(-4) - (7 - (-26)\/(-4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -p**4 - 161*p**3 + 5*p**2 - 1038.\nAnswer: -4*p**3 - 483*p**2 + 10*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 424 and 8888206.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 175628, 167891, 160154, 152417, 144680?\nAnswer: 136943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:32 AM and 10:52 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 0*q + 13*q**2 + 5*q + 3 - 2*q**2 + 2. Is h(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 8*r**2 + r + 8. Let s be l(-8). Suppose 0 = -2*x - 5*m - s*m + 102, -3*m + 190 = 4*x. What are the prime factors of x?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + (1 + 0 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5 bigger than -12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 10*b**2 + 172*b - 16. Determine s(-17).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 850253?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 b when three letters picked without replacement from {b: 3, m: 8}?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 534 by 3.\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 5) + -2 + 1 + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 28a1c - -47?\nAnswer: 28a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24528 and 2336?\nAnswer: 49056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 1 - 26*n**4 + 14*n**2 - 3*n + 213*n**2 + 36*n**4 - 12*n**4 to i + j*n**4 + w*n + l*n**3 + k*n**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**4\/6 + 15*i**3\/2 - 71*i**2 + 6*i - 11. What is the tens digit of a(-35)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 75\/550*77*2\/3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 2*b**2 - 2*b**2)*(-157*b - 11*b + 18*b + b**2).\nAnswer: 2*b**4 - 300*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -2*r**3 + 2*r**2 + 39. What is the units digit of f(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 - -51. Let v = -139 + 2083\/15. Which is smaller: v or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**4\/3 - c**3\/3 + 2*c**2. Let z be f(3). Let t = z - 13. What are the prime factors of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - u + 0)*(18*u**2 + 27*u**2 - 8*u**2)*(-u + u**2 + 2 - 1 + 2*u).\nAnswer: -37*u**5 - 37*u**4 - 37*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -10*z**4 + 134*z**3 - 532*z**2 + 552*z - 144 = 0.\nAnswer: 2\/5, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Let a = j + 0. Suppose -5*r = -0*r - 15. Which is bigger: a or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61*y = -60*y - 9. What is the remainder when 56 is divided by (-71)\/(-3) + -1*6\/y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**3 - 4*l**2 - 2*l. Let i be j(-2). Let y(o) = -o**2 - o + 4. Let t be y(0). Let g(b) = -66*b**2 - t*b + 11*b - 4 + 65*b**2. What is g(i)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**3 - g**2 + g + 614. Let s be l(0). Let r = -533 + s. Is 9 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 243\/6*(-12)\/(-9). Suppose -551 = -8*y - 127. Is l smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1577, 1393, 1105, 731, 289, -203?\nAnswer: -727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*p + t + 16, 0 = -2*p + 3*t + 8. Suppose 25 = d + p*d. Let s(g) = -3*g + 1. What is the remainder when s(-4) is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -10\/13*c**2 + 2*c - 2\/13*c**3 - 14\/13 = 0.\nAnswer: -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152044128 divided by 243.\nAnswer: 625696","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-4)*2)\/1. Let a(x) be the third derivative of 295*x**5\/3 - x**4\/24 - x**3\/6 + 7*x**2. Let o be a(s). What is o rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - 1. Let p = 1 + 1. Suppose p*o = -0*o + 4*z + 38, 2*o + 5*z = -7. Solve -3*i + o = -r*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 180\/553 or 1?\nAnswer: 180\/553","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 285040 and 5208?\nAnswer: 26508720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -5787*w + 7759. Is a(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 0. Let c = 18 - y. Let a(i) = -i**3 - 3*i**2 + 3*i - 4. What are the prime factors of a(c)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**4\/13 + 288*k**3\/13 - 36134*k**2\/13 + 71100*k\/13 = 0. Calculate k.\nAnswer: -225, 0, 2, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3490 - 2358. What is the second derivative of -39 - 51*p**5 + p - a*p**2 + 1132*p**2 wrt p?\nAnswer: -1020*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28b43 - -1?\nAnswer: -28b42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 - (-111)\/(-6). Round r to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19097.3 - 19097. Let f = 0 - 0.2. Sort d, f, -5.\nAnswer: -5, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 1\/150*c**5 + c**2 + 0*c + 0 + 1\/60*c**4 + 0*c**3. Factor j(d).\nAnswer: 2*d*(d + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13401 - 1?\nAnswer: 13400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1098, -1\/9.\nAnswer: -1098, -1, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 467290 and 3366?\nAnswer: 786449070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 3*b - 64 = -2*s, -3*s = -5*b + 54. Suppose c + 3*y = -c - 8, 2*c - 2*y = b. Solve -x + 3*d - 2*d - 1 = 0, 3*d - 3 = -c*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 143*p**2 - 9724*p + 19. Determine f(68).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 71*i**2 - 5*i - 338. Calculate a(0).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (104\/35)\/(12\/(-2)). Let j = 2\/5 + k. Let v be (-6)\/(-18)*(3 - 0). What is the closest to -1 in v, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 9*w**3 + 2*w - 2*w - 7*w**3 as c*w**2 + z + l*w**3 + u*w and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1113 = -7*j + 308. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, z: 5, b: 4, k: 1, l: 1, v: 1}. What is prob of picking 1 k, 2 z, and 1 b?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**16\/v*v)*v*v\/(v\/v**11) assuming v is positive.\nAnswer: v**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u + 2*h - 12, 2*u - h - 6 = 4. Solve 0*a = -4*a + u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of -3*u**3\/2 - 7*u**2\/2 + 2*u - 20. Let r(x) = 5*x + 4. Give -3*h(w) - 5*r(w).\nAnswer: 2*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (92\/69)\/((-16)\/(-339780))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1 + -11.9. Let j = -15 - z. Put -0.5, j, 3 in decreasing order.\nAnswer: 3, -0.5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2213*g + 6. Let w(a) = 92*a. Give 3*w(m) - y(m).\nAnswer: -1937*m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -6*n + 30. Let y = -194 - -215. What is the remainder when y is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 13150564?\nAnswer: 13150602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 130656 and 144?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - n = -38, 3*n + 120 = -5*l + 308. Suppose l = t + 12. Calculate the highest common factor of t and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ceuezpe. What is prob of sequence zc?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2325945, -2325909, -2325873?\nAnswer: -2325837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -424 + 434. Let n be 1 + 17 + (-3 - l) + 13. Solve n = -a + 22 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 - 11204 + 21785 - 10581.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3\/4 (c) 175 (d) -2 (e) 1.73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 188*r - 192*r - 3800 = 0. Let x = -73 - r. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 5*q - 4. Let x be f(8). Suppose y = 5*l + 4*y - 14, 2*y + 4 = 0. Solve r = -l*r - x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -31199?\nAnswer: 5\/31199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the first derivative of 71*k**5\/40 + 103*k**4\/12 + 175*k**3\/3 + 105. Let w(s) be the third derivative of c(s). What is the derivative of w(j) wrt j?\nAnswer: 213","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 6:05 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -150 (base 11) in base 2?\nAnswer: -10110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 47 + -17. Find the common denominator of (r\/(-40))\/((-18)\/142) and 7\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 6, -1, -2.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/33676 and 52\/25257.\nAnswer: 101028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(147))**2 + sqrt(147) + sqrt(108) + -4.\nAnswer: 13*sqrt(3) + 584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 465 and 155.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -154 + 3134?\nAnswer: 2650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of -f**6\/12 + f**5 - 31*f**4\/8 + 11*f**3\/3 + 8*f**2 - 16*f - 20. Suppose g(p) = 0. Calculate p.\nAnswer: -1, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 51524, -1, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 208*h + 4*t - 31 = 207*h, -3*t + 104 = 5*h. Solve -5*p - 2*o - 11 = 0, -2*p - 14*o = -h*o + 16 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**2 - 4308*d - 4312 = 0. What is d?\nAnswer: -1, 1078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 6\/7*c**3 - 6\/7*c - 15\/7*c**4 + 15\/7*c**2 + 0 = 0.\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in 2\/5, 0.01, -0.1, -2\/53, -191?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 38 = -42*u + 79*u. Which is the fourth biggest value? (a) 109 (b) 1\/5 (c) u (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22314 - -2?\nAnswer: -22312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 10 = 0, 0 = -3*a - 4*n - 12 + 53. Let w(d) be the first derivative of 2*d**3\/3 - 9*d**2\/2 - 7*d + 1. Is w(a) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (5 + 0 - (-11 - -12))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpv when three letters picked without replacement from {v: 11, p: 2, o: 2}?\nAnswer: 22\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2079675 and 2301?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/3 - 46161232*f\/3 - 133178708734864\/3.\nAnswer: -4*(f + 5770154)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -993 divided by -1.\nAnswer: 993","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b - 437 - 10936 = 0. List the prime factors of b.\nAnswer: 3, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3249915?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-370)\/(-4)*24\/15. Let f = -148 + j. Solve -8 + f = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 10*t**2 - 32*t - 16. Let v(l) = -3*l**2 + 10*l + 5. Let u(m) = 5*k(m) + 16*v(m). Let r(g) = g. Calculate u(r(y)).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 121179920 divided by -3029498?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 0 + 4*t**3 + 3 + 0*t**3 + 0*t**3 + t**3 + (3 - 5*t**2 - 3)*(-3*t - t - t) to d*t + u*t**3 + r + l*t**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470 a factor of 5357430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {v: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-4))\/(2\/4). Find the common denominator of -47\/2 and 0\/(-6) - 55\/r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 0*w**3 + 0*w**4 - 1\/30*w**5 + 0*w - 5*w**2 + 0. Let o(k) = 13*k. Give o(u(q)).\nAnswer: -26*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -142 - -137 - (6 + 0 - (-2 - -1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -212 - -296. Suppose 0 = -76*x + g*x - 16. Sort 5, 21, x in descending order.\nAnswer: 21, 5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -4*v + 7*u, -1576771*v - 3*u = -1576756*v + 30 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 30*c + 3. Let x be l(-1). Let v be 18\/(-12) - (18\/(-4))\/(-9). Put v, 2, x in decreasing order.\nAnswer: 2, v, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 1 h when three letters picked without replacement from hjjhhhqqjqqhjhh.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.8. Let u = 24 + -23.9. What is the biggest value in t, 4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*j - 57*j - 56*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 6*a**2 - 5*a**2 + (4*a - a - a)*(-a + 3*a - 4*a) - 2*a + a**2 + 2*a + 20*a**2 + 11*a**2 - 33*a**2 + 2 in the form t + r*a**2 + h*a and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/4 (b) 683 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*m - 4*o - 15, -m + 8 = 3*o. Solve -m*i = 3*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 2*l = -l - 3151, -3*k + l + 1893 = 0. Suppose x + 140 = c + 4*x, -5*c + 2*x = -k. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in decades?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*p**2 - 595*p**3 + 1206*p**3 - 668*p**3 wrt p.\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114326757 rounded to the nearest one hundred thousand?\nAnswer: 114300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55.0542 nanometers?\nAnswer: 0.0000550542","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1307567, -5230275, -11768123, -20921111, -32689239, -47072507?\n\"Answer: -1307570*r**2 + 2*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 2.6. Let o = 705 + -704.9. What is the nearest to o in 4, 6\/11, p?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 8 - -1) + 3 + (1 - 18).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 392?\nAnswer: -38a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 0, -2*v = 3*v - v - 4*c - 28 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 10, 8, 4, -2, -10?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.36*114.8.\nAnswer: -41.328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 1:17 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 + 2233332303302?\nAnswer: 2233332303133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) + 354\/24. Solve -2*q = -7*q + y for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 36571 + -1536571. Round m to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -64 in -1\/4, 3\/8, -0.23, 5, 360?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -184, -1479, -4982, -11797, -23028?\n\"Answer: -184*r**3 - 7*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51421 or -51420?\nAnswer: -51420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 1033084628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -228 + 226. What are the prime factors of 601 - ((-9)\/27)\/(n\/(-18))?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -17*f**6\/15 + 211*f**2\/2 - 106*f. What is the first derivative of b(t) wrt t?\nAnswer: -136*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 3*y + 4431 = 0, 0 = -2*w + 2*y + 130 + 1636. What is the greatest common factor of w and 638?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36.23 - 39.23. What is the fifth smallest value in -9, -1\/4, b, 3, 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.07, -2\/5, 0.2, 1\/8?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-4 + 10 - 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 148571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 7\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 70*r**2 - 17*r + 17. Let v be o(2). What is the derivative of -154*z - 335*z**4 + v + 154*z wrt z?\nAnswer: -1340*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-36))\/(-7)*-6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.998 to 1 decimal place.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -8*d - 2*d**2 + 26 - 21 + 4*d**2 - 7*d**2. Let h(o) = 9*o**2 + 15*o - 9. Let k(q) = 4*h(q) + 7*v(q). Let b be k(-4). Which is smaller: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/6*(-3 - 0). Suppose 2*c + 24 = -2*c. Does 3 divide w*-2 - (c - -1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 34173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 206 (base 10) to base 6\nAnswer: 542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 240774 to the power of 1\/2, to the nearest integer?\nAnswer: 491","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 0.02246?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/756*(1\/(-1))\/(-4)*4886\/1745?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of p**2 + 0*p**3 - 68 - 55\/3*p**6 + 0*p**4 + 0*p**5 + 7*p. What is the second derivative of b(t) wrt t?\nAnswer: -2200*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 - 92. Let a = -29 - f. What are the prime factors of a?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7360055.\nAnswer: 5, 29, 193, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*45\/15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine fifths of a litre?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 1\/6 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -45, -88, -153, -234, -325, -420?\n\"Answer: b**3 - 17*b**2 + b - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 19562 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 37341400 rounded to the nearest 1000000?\nAnswer: 37000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 3*f**2 - 4. Let k be o(-5). Let a = k - 67. Calculate the smallest common multiple of 3 and (-136)\/(-14) + (-6)\/a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 - 23. Let p = h - 24.51. What is p rounded to one dp?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 3 + 28 = 5*t, 0 = -3*t - 4*b + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 + 979872*w + 1959732.\nAnswer: 3*(w + 2)*(w + 326622)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1780170850?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 79345.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -98*g - 67. Determine l(-5).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(102)\/(2*sqrt(6)) + sqrt(17) - (1*sqrt(2057))**2.\nAnswer: -2057 + 3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42514112, -85028223, -127542334, -170056445, -212570556, -255084667?\nAnswer: -297598778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -17 + 16.76. Let f = -0.06 + t. Which is the nearest to 0.1? (a) -5 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 PM and 9:23 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69043, 103650, 161321, 242050, 345831?\nAnswer: 472658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 5*s**2 + 8*s - 4. Suppose o - 9 = -3. Let q be l(o). Solve 5*g - 2 = q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59791607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 2\/31, -4, 0.9, -5?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqay when four letters picked without replacement from {a: 1, h: 2, u: 3, q: 3, y: 1, t: 9}?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1442 (base 5) to base 6\nAnswer: -1051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**0*y)\/(y\/y**7))\/(y*y**(3\/2)\/y*y*y\/(y\/y**(-6))))**(-17))**(-2\/7) assuming y is positive.\nAnswer: y**(391\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.02+0.14524788\nAnswer: 0.12524788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3463, 3488, 3537, 3616, 3731, 3888, 4093?\n\"Answer: k**3 + 6*k**2 + 3456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 66 - 41. Let j = 218 - 196. Let s = o - j. Are 0.6 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*a + 4. Let m = a - -3. Let v = 14 - m. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*w - 6*w. What is the closest to 1 in 0.4, -1, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 18, m: 2}. Give prob of picking 1 b and 1 m.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 21*r**2 - 45*r - 1. Give t(-23).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*p**3 - 8*p**3 - 10*p**3)*(9 + 12 + 0) + (4*p - 2*p + 0*p)*(-5*p**2 + 3*p**2 + 3*p**2).\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 1. Let b(t) = 17*t - 3. Let s = -54 - -55. Let g(p) = s*b(p) - 2*q(p). Differentiate g(h) wrt h.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z - 8 = 5*a, -3*z = 4*a + 25. Let f = 11 + a. Suppose 5 = 2*d - 5. What is the smallest common multiple of d and f?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*v + 44*v - 94*v**3 - 31*v - 11*v wrt v?\nAnswer: -564*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f - 2*s = -12*f + 4, 3*f + 21 = 5*s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 96454753 and 901.\nAnswer: 901","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (2 - 2 - (3 - 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 2 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40844160 divided by -240.\nAnswer: 170184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of 1\/6*t**4 + 0 - 1\/20*t**5 + 0*t**2 + 2\/3*t**3 - 9*t. What are the prime factors of u(-3)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2.01. Does g = -1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*h + 35. Is -4 at least h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 12\/14 + 3\/21. Let k be -3*(d*-4 + 3). Suppose 3*a + 4*b = k*b + 115, -173 = -5*a + 3*b. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 9 = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p. Let g(d) = 8*d + 0 - 6*d + 1 + 2. Let n(v) = -2*v - 4. Let c(l) = -4*g(l) - 3*n(l). Give c(w(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the third derivative of 13*l**8\/168 - 5*l**4\/8 + 18*l**2. What is the second derivative of u(g) wrt g?\nAnswer: 520*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 7) + (-5)\/((-25)\/4).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-27)\/(-6) - (-1 + (-3)\/(-2)). Suppose 4*w + v = -0. Which is greater: -2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 19?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnininoiiinnioiii?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (510391 - 237*r - 510391)*(1 + 2*r - 1)*(-2*r + r + 3*r)*(-2 + 4 - 1).\nAnswer: -948*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/2*1*128\/10. Calculate the greatest common divisor of 72 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -44, -43, -42, -41, -40, -39?\n\"Answer: c - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**2 + 7*s - 8. Determine m(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 630.33 + 9.198.\nAnswer: 639.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwu when three letters picked without replacement from {y: 4, u: 6, w: 5}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68996 = -16*d - 16100. Is 58 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 1130197375.\nAnswer: 5, 37, 244367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26282011 a multiple of 231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*r = 2*r. Suppose 2*i = i + 3. Suppose -2*c - 2 = -i*c. Solve 5*n - c*n = r for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 8:28 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 92?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 1 + (-1 + 5 - 2)*(-4 + 4 + 2))*(0*t**3 - 2*t**3 - 2*t**3).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1799*l**4*s**2 + 2*l**4*s + 1591*l*s - 10*l + 2*s**2 wrt l.\nAnswer: -21588*l**2*s**2 + 24*l**2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000601 to 7 dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78 - 7 - (-1 + -5)) + 13 - 8.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the first derivative of 0*c - 3\/2*c**5 - 9 + 33\/4*c**4 - 4*c**3 + 0*c**2. Find z such that l(z) = 0.\nAnswer: 0, 2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n - 4*n + 3*n - 5 + 5 + n + (2 + 0 - 1)*(2*n - 2*n + 2*n) + 4 - 3 + 5*n + 1.\nAnswer: 9*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 divided by 1277?\nAnswer: 336\/1277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 11739103?\nAnswer: 5\/11739103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 - -161. Suppose m*l = 63*l - 542. Suppose t = -5*u - 2*t + 1353, -2*t = 2*u - l. Round u to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-78080)\/(-96075) + 164\/(-28) + 5.\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 - 8*l + 15. Is 2 a factor of v(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 449*c + 1. Let l(a) = 226*a + 1. Calculate 5*l(z) - 2*u(z).\nAnswer: 2*z**2 + 232*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 + 4*y**3 - 2*y**3)*(-626561 + 833*y**2 + 626561).\nAnswer: -833*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -2*h - 19*o + 24*o, o = 2*h + 8 + 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 148955 - ((-35)\/(-6) - (-64)\/384) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**2 + 25*p + 49. Determine f(-18).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 0. Suppose -1 = f - 8. Let w(p) be the second derivative of -5*p**4\/6 - 2*p**2 - 3*p. Let v(k) = 3*k**2 + 1. Determine f*v(b) + r*w(b).\nAnswer: b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88756 to the power of 1\/2, to the nearest integer?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o**3 + 4*o**2 + 4*o - 4. Let q(y) = 36*y**3 - 21*y**2 - 21*y + 21. Suppose -3*a + 84 = -7*a. Calculate a*w(k) - 4*q(k).\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 2. Let b be (1452\/180 - 8)\/(7\/294). Which is smaller: t or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 - ((-31 - -12) + 34) - (43 + -2 + -1)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 600569*n**5 + 207963*n**2 wrt n?\nAnswer: 36034140*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 + 16*n**2 + 51*n + 6. Give q(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 258400?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 328 = -g. List the prime factors of g.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0103 + -4.9897. What is the second smallest value in -0.01, 1\/7, j, 0.3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2785314088 take away 281?\nAnswer: -280.7214685912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6204 + 4299. Let i be (-3840)\/45*h\/(-2). Let l be (-1 + 76)*i\/24. Round l to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 90689359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 320 = -3*u, 57*t + 560 = -5*u + 62*t. Sort -17, -1, u.\nAnswer: u, -17, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.2 + -3. Let s = -34.8 - -30. Let i = s - l. Sort 0.5, 5, i in ascending order.\nAnswer: i, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and -1975.9.\nAnswer: -1969.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1490768 - -3345283285\/2244. What is the common denominator of k and 133\/1056?\nAnswer: 17952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = z - 0*z. Suppose 20 = 58*f - 53*f. Let i be (6*f\/60)\/((-2)\/(-100)). What is the greatest common divisor of i and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1193 + 1704. Suppose -141*q - f = -142*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from cgggggccgcccg.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mddmddmhmdmmmhd.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.2, -1, 4, 1\/3 in descending order.\nAnswer: 4, 1\/3, 0, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-1\/3)*m*m))**(-9)\/(m**(1\/4))**(19\/5)*((m**(-2\/3)\/m*m)\/m)**19\/(m**(-3\/2)*(m\/m**0)\/m) assuming m is positive.\nAnswer: m**(-1507\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -4*p + 5. Suppose 27*v = 24*v + 5*j - 35, 2*v - 5*j + 30 = 0. Calculate m(v).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-54)\/24 + (-2 - (-15)\/12). Let q(z) = -38*z - 25. Let u(d) = 19*d + 11. Let a(l) = -4*q(l) - 9*u(l). Let t(c) = -10*c + 1. Determine p*a(o) + 5*t(o).\nAnswer: 7*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -4*p + 18. Give w(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p - 4*b + 7 = 0, 0 = p + 3*b - 10. What are the prime factors of p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.3 (c) -4258 (d) -2346\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + h - 2*h)*(1 - 1 - 5*h) - h**2 + 6*h**2 - 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-2) - (-1)\/(-2). Let u = c - -6. Suppose -313*o - 28 = -320*o. Solve u*d = 6*d + o for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -z**3 - 2*z**2 - 684*z - 78582 wrt z?\nAnswer: -3*z**2 - 4*z - 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, c: 1, s: 1, y: 4, a: 1, j: 1}. What is prob of sequence adc?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(15\/6)*325\/(-130)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 4645050, 26 in descending order.\nAnswer: 4645050, 26, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 16, n: 4}. What is prob of picking 3 n?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13*(-44)\/(-429)*6*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -22\/4531 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2*p**2 + 71*p - 61. What are the prime factors of h(31)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3195058.800131 + -3195064. Let l = -5.2 - t. What is l rounded to 5 dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2717 and 76.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeee when four letters picked without replacement from {e: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 141524131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 6:19 PM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -11*f + 1. Let k = -132 + 126. Let t(i) = -10*i + 2. Let b(s) = k*m(s) + 7*t(s). Let o be b(0). Solve 6*c - o = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 23*t + 38. What is the tens digit of q(26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - p - 2*p = 6, 3*f + 3*p = -6. Suppose f = -0*w - 2*w + 2. Is 19 a factor of (-1)\/w*(-78)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(1\/(-3)) - (-9)\/3. Suppose m - 4 = -c*m + 2*k, k = -3*m + 12. Suppose 0 = -m*v - 19 + 3. Sort -2, v, -1 in descending order.\nAnswer: -1, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -27*n**2 - 1613*n - 10. Give b(-59).\nAnswer: 1170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20*0.01928.\nAnswer: 0.3856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 - (-1)\/(-36)*219.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -115*b**2 + 2*b - 65. Let n(u) = 112*u**2 - 3*u + 66. Let q(l) = 3*k(l) + 2*n(l). What is the first derivative of q(g) wrt g?\nAnswer: -242*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 24 = m + 2*s, -5*s - 81 = -4*m. Calculate the highest common divisor of 112 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1843180.64 times 0.5\nAnswer: -921590.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {v: 1, n: 4, k: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 362058?\nAnswer: 2896464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002664 is divided by 1271.\nAnswer: 1116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -6*t + 4\/3*t**4 + 0*t**3 + 15 - 3\/2*t**2. Let k(d) be the first derivative of s(d). Find the first derivative of k(m) wrt m.\nAnswer: 32*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*t + 24*t - 16. Suppose 3*l = 2 + t. Suppose l*d - 73 = -0*d - m, -2*m + 185 = 5*d. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 981366 is divided by 14647?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + -1 + 28\/(-26). Let n = -10.24 - -10.34. Put n, c, -4 in increasing order.\nAnswer: -4, c, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 6523?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23277*m + 1 + 10733*m + 0 + 11050*m to the form l*m + y and give l.\nAnswer: -1494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u + 15, 6 - 7 = -4*o - u for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10100211 (base 4) to base 11\nAnswer: -1211a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0012182 rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 + 65*w - 166. What is d(-68)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -322 + 104456?\nAnswer: 104134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/222 and 27\/8.\nAnswer: 888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 7. Let z be b(0). Let u = -6 + z. What is the greatest common divisor of u and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72.811632 and 0.01.\nAnswer: -0.72811632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*b*h**6 + b*h**4 + 169*b*h**2 - 2*h**6 wrt h.\nAnswer: 960*b*h**3 + 24*b*h - 240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-10)*(-72)\/36?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -73 + 227. Let z = 1692\/11 - a. What is the smallest value in z, 2\/15, 1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**3\/6 - 3*x**2 + 2*x. Let o be u(-12). Solve p - o = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9a (base 14) to base 11\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 6 - 9 = -n, -2*w + 4*n - 82 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 91, 161, 219, 265?\n\"Answer: -6*i**2 + 100*i - 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 10540 = 2*t - 7636, 0 = -t - 4*y + 9085. List the prime factors of t.\nAnswer: 61, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4975 + 4964. Let y(d) = d - 7. Calculate y(s).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678251?\nAnswer: 7, 96893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 80381, 80570, 80757, 80942, 81125, 81306, 81485?\n\"Answer: -r**2 + 192*r + 80190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-16))\/(228\/21888)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3629.5 - -3630. Which is the closest to -1? (a) 769 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 3*z = -92, -k + 0*k - z - 48 = 0. Let r be -1 - -6*k\/12. Let o = r + 33. Let t(x) = -x. Give t(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2522 + -2494. What is the highest common divisor of 76 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u**2 - 10*u + 20. Let l = -256 + 88. Let v be ((-30)\/35)\/((-4)\/(l\/(-9))). What is the units digit of r(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1657376 and 95\/8456?\nAnswer: 1657376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, p: 1, l: 1, k: 4}. Give prob of sequence al.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/1058 and 37\/6?\nAnswer: 3174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 24602300 to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56291.\nAnswer: 181, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -35*k**3 - k**2 + 6. Let v(p) = -69*p**3 - 2*p**2 + 11. Suppose 22 = 2*q - 0. Let u(j) = q*h(j) - 6*v(j). Is u(1) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -593 + 633. What is the smallest common multiple of 60 and d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide -296*((-18)\/12 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1716, 1712, 1706, 1698, 1688, 1676?\nAnswer: 1662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -287.69 - -1.69. Let u = q + 286. Let l = 0.1 - -3.9. What is the second biggest value in -2\/9, l, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 s when three letters picked without replacement from mskm?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 58838 = 5*g - 163453, -4*g + q + 83695 = 0. Is 40 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2657464 to the power of 1\/6, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 315700899?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**2 + 568*b - 5083. Calculate m(8).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - 3*f - 12. Let q(g) = 4*g**2 + 3*g + 11. Let m(h) = 3*j(h) + 2*q(h). What is the lowest common multiple of (-4)\/(-10) + (-9)\/(-15) and m(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 + u + 1. Let m be i(-1). Let b(k) = k**m + k**2 + 7*k + k**2 - 5*k**2 - 4. Suppose -149*g - 184*g = -18*g - 1260. What is b(g)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 12, 2*x - x = -2*t + 1008. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5\/3 (b) -85\/7 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 1 + 8*a)*(-3 + 0 + 4) as j + b*a and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.01? (a) 1\/6 (b) 4 (c) 0.8 (d) 2\/1015 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -d**4 + d**4 - d**4 + d**4 - d**3 + d**3 + (4*d + d - 3*d)*(2*d**3 - d**3 + d**3) + 2*d**4 - 4*d**4 + 3*d**4 + (0 + 2*d**2 + 0)*(4*d**2 - 4*d**2 + d**2).\nAnswer: 7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*t + 12. Is t <= 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 149.831492 to two dps.\nAnswer: 149.83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 329 (base 10) in base 9?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 + -18. Let s = -58 + u. Suppose -c = 4*j - s, 0*j + 4*j - 34 = -5*c. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((656\/(-39))\/(-4) - (-54)\/(-2457)*-21)*-6.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16.000008 - 16. Round p to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 4:49 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*k**3*l*z**3 + 4*k**3 - 6*k**2*l*z**3 - k**2*l*z**2 - 10*k**2*l + k**2*z**2 + 2*k*z**2 wrt z.\nAnswer: 132*k**3*l - 36*k**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 7*u**6\/2700 - 17*u**5\/900 + u**4\/30 + 25*u**3\/6 - u**2 + 6*u. Let q(x) be the first derivative of g(x). Solve q(c) = 0.\nAnswer: 3\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 32 = -31. Let f(r) = 4*r + 8. What is f(l)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2416 = 278*u + 1234 + 520 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8641, -17285, -25929?\nAnswer: -34573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*b + 99*b - 2358 = 0 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -219 - -299. Calculate the smallest common multiple of 72 and l.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 1050 + 24531. Let q = -18018 - v. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-384)\/256*((-6)\/(-6))\/(9\/(-354))?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {u: 2, h: 17}?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**4 + 0*l**4 - 2242*l + 2236*l)*(3 - 2 - 2) + (3*l**3 + 2*l - 2*l**3 + l**3)*(0*l + 8*l + 2*l).\nAnswer: 22*l**4 + 20*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**3 + 550*n - 1 - 266*n - 3*n**3 - 289*n - 5*n**2. Give i(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-68 + 3070)*1*(-2)\/(-4). Let m = -1069 + l. Suppose 5*t - 128 = -2*u + 85, m = 4*u + 4*t. What are the prime factors of u?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from liiiililiii?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-21) - (-4112)\/14. Let g = q - 151. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2442457194 to the power of 1\/2, to the nearest integer?\nAnswer: 49421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1923872637?\nAnswer: 3, 6353, 100943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34 + -17. Suppose 3*q - h = -2*j, 4*q + j = -0*j + 16. Suppose -2*a = 5*d + 2*a - 38, -3*d + a = -16. Solve 6 + d = -q*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -2*u**5\/25 + u**4\/5 + 6581. Determine a so that q(a) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.40925 decades to years.\nAnswer: 694.0925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23381 + 116981 = 195*f. What is the remainder when f is divided by 231?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -149*s - 152*s + 356 + 547 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*637172\nAnswer: 191151.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -43? (a) 133 (b) 2 (c) -0.4 (d) -22 (e) 12\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by -253471.\nAnswer: 76\/253471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 10:01 PM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6 + 1*(-4 - 1041\/285). Let j = 39\/19 + x. Factor 4\/5*i + j*i**3 - 6\/5*i**2 + 0.\nAnswer: 2*i*(i - 2)*(i - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 307972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, c: 1, s: 2, z: 4}. What is prob of picking 1 c, 2 z, and 1 i?\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*o - 24 = g, -5*g = 4*o + 153. Find the common denominator of (-7)\/21*g\/(-16) and 81\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 607 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -11, -322, 3, -6 in increasing order.\nAnswer: -322, -11, -6, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 + 49. Suppose 5 + 43 = 4*l. What is the smallest common multiple of l and n?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1495, 2979, 4463?\n\"Answer: 1484*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2 + 3*s - 3. Let d(u) = u - 1. Let g(x) = 3*d(x) - y(x). Let w(v) = 2*v. What is g(w(i))?\nAnswer: -8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41153229?\nAnswer: 3, 13, 211, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 (base 6) in base 12?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 2*k**2 - k + 2. Let i(d) = -8*d**3 + 10*d**2 - 694*d + 11. What is 5*f(s) - i(s)?\nAnswer: 3*s**3 + 689*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 16 - 0. Let z be 20\/n*(-8)\/10. Suppose 2*d - z = 3*d. Sort 4, d, -4 in increasing order.\nAnswer: -4, d, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, 4, -9, -2 in decreasing order.\nAnswer: 29, 4, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s**3 + 0*s**3 - 3*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 309453845 to the nearest integer?\nAnswer: 17591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -12. Let a(r) = 10*r**y - 17*r**2 + 10*r**2. Let s(b) = -4*b**2. Calculate a(s(h)).\nAnswer: 48*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1300644 - -15627331\/12. Let n = a - 1642. Let r = 41253\/4435 + -3\/1774. What is the common denominator of n and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 51*p - 352 = 0. Suppose -p*i - 16*i = -288. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 e when two letters picked without replacement from {e: 3, v: 4, d: 1}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 4*n**2 + 3*n + 3. Let p be k(-5). Let j = p + -7. Let f(q) = q**2 - 4*q - 6. Let a be f(j). Solve -y - 20 = -a*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (662 - 3487 - 806)*(0*v - 2*v + v).\nAnswer: 3631*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2, -6, -12, -20, -30, -42?\n\"Answer: -v**2 - v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 34 and 44?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - -20 - 2\/(-2). Suppose -6*a - 96 = -2*a. Let d = a - -54. Calculate the highest common divisor of d and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/6445930 and -37\/20626976.\nAnswer: 103134880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23\/5 - -89\/15. Let m = 18 - 18.24. Let l = 0.14 + m. Which is the second smallest value? (a) q (b) -6 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.0253 rounded to 3 decimal places?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 5*a - 473, -2158 = 4*m + 135*a - 158*a for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 - -1. Let u = l + -1. What is the nearest to 0.1 in -0.5, u, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.1 - 7.7. What is d rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -660 - -1329. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-5)\/((-25)\/9)*40\/12\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 + 141 + 454 - 2365 + g**2 - 1233 in the form a*g + n*g**2 + m and give m.\nAnswer: -3003","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 3*n = -214 + 196, 4*s + 19 = -n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1125 and 50.\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1313 = 403*t - 14001 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*o + 28 + 44. Sort -14, -2, o, -4 in descending order.\nAnswer: o, -2, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2362, 18, 3, -1, -2\/21?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -116 + 113. Let h be (1*-1 + 1)\/(-1). Let c(v) = v**3 + v**2 - v - 2. Let o be c(h). Put j, 5, o in increasing order.\nAnswer: j, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 718320 by 24.\nAnswer: 29930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vq when two letters picked without replacement from vqqvqvvqqv?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8011991?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/4 + (-113)\/4. Let a = -8 - d. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 168 = -12*p, -14 = -21*p + 6*p + 16*p + 3*t for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25801.8229 rounded to the nearest 10?\nAnswer: 25800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2449 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 0*p + 12 = 0. Do 3 and p have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9471 is divided by 1385.\nAnswer: 1161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20230412 + 1?\nAnswer: -20230411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - 0.68. Let q = -0.15 - v. Let l = q + -3.93. Which is the third smallest value? (a) 2 (b) l (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(7)*-2)**2 + sqrt(7) + 1.\nAnswer: sqrt(7) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 26*w + 3 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -226 + -4449?\nAnswer: -466f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -79*s**2 + s + 26. Let l(b) = 83*b**2 - b - 25. Let j(k) = -4*c(k) - 3*l(k). Is j(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89 and 20381?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14 + 5*u**2 - 17*u**2 + 14*u**2 - 32*u**2 - 51*u**2.\nAnswer: -81*u**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2861*j - 2864*j = 4*i - 118525, 0 = j - 3*i - 39517. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.39 * -0.392.\nAnswer: 0.54488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 a when four letters picked without replacement from gggggaggafaga.\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 2 = -4*m. Suppose 0 = 3*b + 5*n - 23, 2*n = -5*b + 6 + 7. Solve m*h + b = h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-69))\/(7\/42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.7141 to 1 decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32554?\nAnswer: 2, 41, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 275*f + 266*f - 468*f.\nAnswer: 73*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 267526 and 21049.\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 169\/510 and 9\/61625.\nAnswer: 369750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/24500 and 58\/4195625.\nAnswer: 16782500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-6)*(-14)\/(-3). Let a = 760 - 648. What is the highest common factor of f and a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 1536265 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 36579 = -2*m + 4*m, 3*z - 36549 = -3*m. What is the remainder when z is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4784826 and 16356?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8956 + 8958. What is the closest to 0.4 in 3, 13, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + v**2 - v + 10. Let i be h(0). Let j be 3009\/(-198) - i\/(-12). Are j and -14 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-4 - -4) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96 divided by 28122.\nAnswer: -16\/4687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h. Let x(u) = 490*u**2. Give x(s(b)).\nAnswer: 490*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y - 15. Let g be v(10). Let z(d) = -959999*d - 5. Let p be z(g). Round p to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -7 - 1) + 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/((-1 + 2)*2). Let v = -0.72 - -0.49. Let r be (11 - (-606)\/(-54))*(3 + -2). Which is the closest to p? (a) r (b) 0.3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + g - g**2 + 18 + 12 - 21 to the form c*g**2 + m*g + v and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 54 = -36. Let d = -6228 - -6277. Let j = d - b. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 276342094 to the power of 1\/2, to the nearest integer?\nAnswer: 16624","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-15)\/30 + (-62)\/(-4). Suppose 4*l - 5*l - k = 0. Find the common denominator of -51\/40 and (-1293)\/(-180) + (-6)\/l.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 - 360*q + 10435. Calculate b(66).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -644567 - -37.289\nAnswer: -644529.711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32, 66, 104, 140, 168, 182, 176?\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 145849770 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pha when three letters picked without replacement from apznh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(-56) + (-20)\/(-27 + 17).\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24.3 - -25. Suppose 5*h + 1 = 3*i + i, -3 = -h. Let k be (-2)\/i*16\/(-24). Which is the third smallest value? (a) 5\/4 (b) k (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/14 - (-749)\/(-49). Is 10\/d - (-40)\/6 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) + 3 + -5 + -3*sqrt(65)\/sqrt(5) - 3*((sqrt(13) - 2*sqrt(208)) + 1*sqrt(52))**2.\nAnswer: -977 - 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y - y + y - 4*y + 4*y + (-y - y + 4*y)*(-1 + 2 - 2))*(2*y + 4 - 4).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 AM and 1:39 AM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72 + 123*u**2 + 41 + 31 - 25*u**2.\nAnswer: 98*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6638842 years in decades?\nAnswer: 0.06638842","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 5 + 4 - u**2 - 2.\nAnswer: -u**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 230828?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = l - 9 - 5, -r + 7 = 3*l. Let u = 1.2 - 0.7. Let k = 2 - 2. Which is the nearest to k? (a) u (b) l (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 555 and 1095.\nAnswer: 40515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9202, 18293, 27384, 36475, 45566, 54657?\nAnswer: 63748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -111.79 - -112.94. What is the second biggest value in w, -0.5, 1, 0.5, 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -1\/2826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19788807 is divided by 1242.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -2\/3*u**4 + 0 + 12*u - 14*u**2 + 16\/3*u**3 = 0.\nAnswer: 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 404046.0410033 - 404046. Let u = 0.041 - v. What is u rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -327 - -327. Suppose 4*w - 2*l - 40 = b, -w = 3*w + 2*l - 48. Calculate the remainder when 72 is divided by w.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4395 - 4247. What is the remainder when o is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1041552 and 2484.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 32 (c) -0.3 (d) 1\/8 (e) 30 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 4*v = 7*h - 1, 3*v = 3*h. Suppose 864 = -26*q + 34*q. Let c(g) = -2*g - 45 - 62 + q. Calculate c(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2 = -a + 2*a, -4*a + l = -8. Let q = 5089 + -5075. Calculate the greatest common factor of a and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 12) in base 3?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.71891 to zero dps.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2948 - -2950. Let s(g) be the second derivative of -9\/50*g**5 + 16\/5*g**m + 0 + 21*g + 44\/15*g**3 + 4\/5*g**4. Suppose s(x) = 0. What is x?\nAnswer: -2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -3 (c) -1\/21 (d) 4 (e) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -17*c + 18. Let f(g) = -6*g + 6. What is 11*f(t) - 4*i(t)?\nAnswer: 2*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -22183960 and -22183960 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188723?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 5, 0.208, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 2. Suppose -2*d - 1 = -q - m, 4*q = -4*d + 8. Suppose -2*c - 21 = -3*i, i - 4*c = -0*i + 17. Solve 22 = d*z + 5*k - k, z = i*k - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 440186 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1353 and 3102.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 5*y**2 - 3*y - 2. Let r(w) be the first derivative of -16*w**3\/3 + 5*w**2 + 6*w + 8. What is -10*n(u) - 3*r(u)?\nAnswer: -2*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of -1\/48*b**4 + 2*b - 1\/6*b**3 - 1\/2*b**2 + 0. Find i, given that f(i) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/4*b**3 + 2349\/4*b**2 + 613089\/4*b + 53338743\/4 = 0. Calculate b.\nAnswer: -261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 2230 - 2165. Let l be -1 - (-1 - 5)\/1. Calculate the greatest common divisor of h and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -315384496*d**4 - 116425*d**2 - 813*d?\nAnswer: -7569227904*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m - 4. Let v be (-5)\/5*(-9 + 8). Let y(c) = -1 + 1 - 1. Give v*g(i) - 2*y(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -136062 less than or equal to -135783?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1801863503?\nAnswer: 11, 397, 412609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1343 + 38*t - 1343 + 21*t.\nAnswer: 59*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -23 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -631 = -2*r + d, -5*r + 260*d + 1555 = 265*d. What is the remainder when r is divided by 272?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 801864?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -730*j + 268*j + 458*j.\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4484.57 - 4418. Round k to zero decimal places.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 2.2969, -13?\nAnswer: 2.2969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/2 of a millennium?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = -67*a + 1583. Let b(p) = -p - 4. Let x be b(-7). What is the highest common factor of x and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13894 and 0.5.\nAnswer: -6947","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 506016 and 10976?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1391 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -230 + -141. Let d = n - -375. Solve -r = d*i + 15, -2*r - r + i + 7 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-76)\/10 - -1*18\/(-45). Sort 4, f, -9.\nAnswer: -9, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5931756*w**4 + 67492?\nAnswer: 23727024*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -80, -91, -118, -167, -244?\n\"Answer: -c**3 - 2*c**2 + 2*c - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + 33*m + 104. Let k be (-512)\/(-14) - (-896)\/(-1568). Give v(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -61, -135, -239, -373, -537?\nAnswer: -731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 10*a**2 + a + 15. Let h be t(-10). Solve -5*f - h = 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-18)*8\/16*(-9)\/33.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of -3*z**6\/70 + 19*z**5\/5 - 260*z**4\/21 + 344*z**3\/21 - 4*z**2 + 53*z. Factor k(i).\nAnswer: -4*(i - 43)*(3*i - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - s - 1. Let g(q) = -q**2 + q - 1. Suppose 3*r = -4*a - 5, r = 4*a - 2*a - 5. Let j be g(a). Let l be j + 3\/(2 + 1). Determine y(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1022122*s**2*t**2 + 46*s**2 - 7*s*t + 30 wrt t?\nAnswer: 2044244*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19936 and 738878.\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x - 1. Suppose -h - 1 = -5. Let v be (-9)\/h + 4\/16. Determine i(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2054 + -12299\/6. Determine u so that 1\/6*u**2 + k - 5\/3*u = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -25 - 14 + 12 - 5 + 7*i. Let w be r(5). Calculate the highest common factor of 33 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -27, -7, -2, -4019 in ascending order.\nAnswer: -4019, -27, -7, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d\/d**(-2\/23)))\/(d*d\/(d*d**(-8)))*(d*d**(-6\/23))**41 assuming d is positive.\nAnswer: d**(488\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 33?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*x**4 + 27*x**3 + 54*x**2 - 87*x + 18 = 0. What is x?\nAnswer: -2, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vn when two letters picked without replacement from {z: 5, i: 1, n: 1, v: 4, x: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w**3 - 9*w**2 + 216*w - 34. What is f(-20)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 72454 - 7?\nAnswer: 72448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*b = -5, 3*x + 45 = -3*b + b. What are the prime factors of 1\/(33\/x + 2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**4\/12 - d**3\/3 + d. Let f(a) = a - 7. Let n be f(5). Calculate l(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -201721*k**2 + 1. Let h(o) = 1500*o. Calculate h(v(d)).\nAnswer: -302581500*d**2 + 1500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 348*z**2 + 387*z**2 - 35*z**2 - 88*z**2.\nAnswer: 612*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/5*d + 4\/5*d**4 + 0*d**3 + 0 - 4\/5*d**2 - 2\/5*d**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 5*k - 40 = 0, 0 = -4*v + 3*k + k + 40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.894 - -7. Let y = l + 80.894. Let f = y - 81.33. What is f rounded to 1 dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u. Suppose 5 = w - 0*w. Let k(m) = w + 2 - 7 - 6*m. Determine v(k(z)).\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1386 + 4497 - 1610 - 1501 - 2*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -17 * -2.11\nAnswer: 35.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqhqqzhz. Give prob of sequence zh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*c**2 + 18*c**2 + c**3 - 6*c - 46*c**2 to the form v + j*c + d*c**2 + a*c**3 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1949 + 1949.62. Let w = 42.38 - 42. Let o = n + w. Does -37 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, b: 4, f: 1, c: 1, z: 1, g: 2}. What is prob of sequence jcgj?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gyeeeyymyee. What is prob of sequence eey?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23177\/8 greater than 2897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47150317?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, k: 1, h: 2, l: 4}. What is prob of sequence kt?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14d0e24 (base 15) to base 2.\nAnswer: -111001100011111100011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -156 at most as big as 1617292?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 726998, 727005, 727016, 727031, 727050, 727073, 727100?\n\"Answer: 2*b**2 + b + 726995","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.041135 - 0.0412. Round t to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28 or 7\/3?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/3 - 10*m\/3 - 16\/3.\nAnswer: -(m + 2)*(m + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57 + -68. Let t(o) = o**3 - 5*o**2 + 3*o + 5. Let i be t(5). Let q = l + i. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 548, 2434, 5654, 10196, 16048?\n\"Answer: -2*j**3 + 679*j**2 - 137*j + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/165 and 47\/9.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11895 + -6586. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 2*w - 4. Let y be a(0). Calculate the common denominator of (y - 75\/(-20)) + 17 and 5\/109.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-2) + 21\/6. Find the second derivative of -x*j**5 + 2*j + 6*j**2 + j**2 - 7*j**2 wrt j.\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14 - 10*i**5 - 14 + (i**2 + 4*i**3 - i**2)*(0*i**2 - 3*i**2 + 0*i**2).\nAnswer: -22*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 4 = 4*g - 37, 0 = 5*j + 25. Does 12 divide -2*(g - (-495)\/(-10))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 8528?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.08 - 0.08. Let m = w + -4. Suppose -1 = 4*l + 11. Which is the smallest value? (a) -2 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-924)\/880)\/(10\/((-120)\/7)).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -19. Suppose -7*v = -a*v. What is the closest to v in 2\/3, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 12*w + 13*w - 2051919 = 0, -j - 4*w = -410399. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 16. Suppose 2*q - 5 - 11 = o. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-88)\/(-264)*6\/7\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4 - 2)*29\/2. Let y = -12 + h. Suppose 2*r = n - y, 4*r - 2*r = -n + 17. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 319924.\nAnswer: 2, 11, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38106139 divided by 2.\nAnswer: 38106139\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36, -114, -252, -450, -708, -1026, -1404?\nAnswer: -1842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -96b77 (base 12) to base 15.\nAnswer: -3dce7","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 3, -0.3, 2474, -4 in descending order.\nAnswer: 2474, 97, 3, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 27 = 32 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.2 + -21. Which is the second smallest value? (a) -1\/2 (b) j (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16038.16141 + 16038. What is l rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3*c**2 + 40*c. Let w(j) = 18*j. Determine w(q(t)).\nAnswer: -54*t**2 + 720*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*d - 17*d - 13*d**3 - 9*d**3 + 21*d**3 + 2*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - -8 - (6 - 23 - (-4 - 0)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - ((2 + -2)\/(-3) + -1). Solve -16 = -m*f - 5*g, 3*g - 7*g = f - 11 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159072 is divided by 525?\nAnswer: 522","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39950.004 + 39847. Let y = 103 + j. Let v = y - 0.996. What is the second biggest value in v, 0, 10, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 41405*b**2 - 331185*b - 79. Calculate d(-8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*(3 + sqrt(171)).\nAnswer: -6*sqrt(19) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*b**3 + 65*b**2 - 65*b**2 - 118*b**3.\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137328 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 50\/8 + (-1)\/4. Let g(m) = -m + 5. Let s be g(5). Suppose -2 = -n - s. Solve 0 = -2*o + d, 2*v = 3*o + n*o - 11 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a50d + -48?\nAnswer: a4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2263628 rounded to 4 decimal places?\nAnswer: -0.2264","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of 15*w**2\/2 - 5*w - 533. Let g(b) = 15*b - 4. What is 5*g(k) - 4*u(k)?\nAnswer: 15*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1749 - 1747. Let o = 21\/55 - 1\/5. Sort x, 1, o in descending order.\nAnswer: x, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-31 + -2)\/(-1 + 0). Let b be 26\/(-39) + 41\/q. Let x = b + 589\/66. Find the common denominator of x and 31\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 + 4*r**4 + 152*r + 1 - 76*r - 4*r**3 - 75*r to the form t*r + q*r**3 + v*r**4 + n*r**2 + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-8*(-5)\/60)\/(16\/18)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 315 and 2415.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 201263200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**5 - 11*a**4 - 40*a**3 - 48*a**2 = 0.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w + 3*x - 4 = 23*w - 19*w, 0*x = -w - 4*x - 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -170*l + 51*h = -173*l + 546, -133 = 5*l + 2*h - 130 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 86562?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 2*i - 4*d - 26, 4*i - 63 = -3*d. Let b = 14 - i. Let v(t) = t**2 + 7*t - 8. Let g be v(-8). Which is smaller: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1018, -983, -924, -841, -734, -603, -448?\n\"Answer: 12*y**2 - y - 1029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 186469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00489666796 rounded to 6 dps?\nAnswer: -0.004897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -817*m**2. Let q(z) = 6*z**2 - 6*z - 81. Let w(d) = 5*d**2 - 4*d - 54. Let k(s) = 4*q(s) - 6*w(s). Determine p(k(f)).\nAnswer: -29412*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45063.28 milligrams in tonnes?\nAnswer: 0.00004506328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001463 to six dps.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.05607 rounded to one dp?\nAnswer: -27.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 281289369 + -281289167.999769. Let b = -201 + m. Round b to five decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d = -4*q - 28, -2*q + 5*d = 0. Let l be (-2)\/q + 44\/(-10). Let m = -2 - l. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) 5 (c) 4 (d) -26\/137 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*m**3 - 46*m + 2*m - 9*m**3 - 16*m**3 + 0*m to r + n*m**3 + z*m**2 + s*m and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - w + 4*w + 20.\nAnswer: 3*w + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162\/17*n - 22\/17*n**4 - 180\/17*n**2 - 54\/17 + 92\/17*n**3 + 2\/17*n**5 = 0. What is n?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 117*m**3 + 557*m + 24. Let s(p) = 235*p**3 + 1113*p + 44. Let u(w) = -11*i(w) + 6*s(w). Find the second derivative of u(v) wrt v.\nAnswer: 738*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 3*t - 1, 1648 - 1656 = g - 2*t for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84804 is divided by 41570.\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -351*g + 65. Let b(v) = 11*v - 2. Let z(p) = -65*b(p) - 2*j(p). Let x(s) = s**2. Calculate z(x(t)).\nAnswer: -13*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -233230204 + 1021?\nAnswer: -233224133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4*h = 35 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 361810646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 0)*(-2 - 1 + 2)*(17 + 30 - 3)*(12*z + 20 - 20) in the form m*z + n and give m.\nAnswer: 1056","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2531*u - 28 + 28 + 170*u**2 - 2526*u - 8*u**2.\nAnswer: 162*u**2 + 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.346 >= -30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4*i**2 - 9. Let z(j) = -2*j - 4. Let k(l) = -34*l - 64. Let t(x) = 5*k(x) - 80*z(x). What is f(t(r))?\nAnswer: -400*r**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (172\/(-44) + 4)*-1. Let v = j + 27\/55. Factor 0 + 2\/5*a - v*a**2.\nAnswer: -2*a*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -14838.\nAnswer: -5\/14838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 2*r**2 - 9*r + 3. Let d(o) = -o**3 - 2*o**2 + 8*o - 3. Let m(w) = -6*a(w) - 7*d(w). Give m(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3474 is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + (-3)\/(-9))\/(13\/117). Let c be (-2*(-9)\/(-84))\/(l\/(-8)). What is the smallest value in 3, 6, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**3\/6 - v**2 - 3*v. Does 6 divide m(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -12 + (-3 - (5 + -38)) + 4.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -12\/5*l**3 + 16\/5*l**2 + 2\/5*l**5 + 0*l**4 + 0 - 6\/5*l = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 15) in base 8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -78, -292, -650, -1158, -1822?\n\"Answer: -m**3 - 66*m**2 - 9*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -4, -2, -12982, 1, -1, 3 in descending order.\nAnswer: 3, 1, -1, -2, -4, -12, -12982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3 + -4)*(2 - -1). Let h be p\/(-12) + 6\/(-8). Is h greater than 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((0 + -6)*-4)\/(-1). Let v be (-6)\/x + (-299999)\/(-4). Round v to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 16*u. Let f be v(12). Let d = f - -50. Solve 3 = 3*o - d*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -3\/4 (c) 1\/3 (d) -0.15717 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0593, -0.4, 3 in decreasing order.\nAnswer: 3, -0.0593, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 3:37 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 8. What is the third derivative of -47*m**3 + 9*m**r - 48*m**3 - 137*m**3 - 99*m**2 - 186*m**2 wrt m?\nAnswer: -1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 18.53, 98\/9, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7816861 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 9, 5, 0, -11, -149 in increasing order.\nAnswer: -149, -11, -3, 0, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 27476\/45 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 281323?\nAnswer: 7, 40189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -2*b**3 + 32*b**2 - 120*b = 0.\nAnswer: 0, 6, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4329.2 - -4329. Let g(f) = -f - 1. Let u be g(4). Which is the nearest to p? (a) 3 (b) u (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 115887?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 0 - 7 = j, 4*r - 4 = -4*j. Let k(u) = -u**3 - 11*u**2 - 10*u + 5. Let g be k(-10). Is g <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + k - 5, 12*q - 8 = 25*q - 12*q - 2*k for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 737179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 61*z**2 + 2*z + 13. Suppose 55 = -6*m + 43. List the prime factors of j(m).\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -124 - -129. Suppose -z - w = -5, -k*z - 4*w - 10 + 33 = 0. Suppose 6 = 4*q - q, -2*r = -z*q - 1552. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5 = -9. Suppose -g*s - 2 = -s - 4*n, -3*n + 5 = -4*s. Let y be -5*(2 + -5)\/(s\/(-6)). Calculate the greatest common factor of 30 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (0 - -15) + -6.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14321\/24 - -597. Find the common denominator of x and 2 - ((-312)\/1664)\/((-63)\/1452).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/203 and 7\/287016190.\nAnswer: 2009113330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (6 - 2)\/(0 - -2). Let u be 46\/(1 - k\/(-2)). Find the third derivative of -n**3 + 3*n**2 + 23*n - u*n wrt n.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1470\/4693 - 2\/361. Let p(h) be the first derivative of -3\/13*h**2 + 1\/26*h**4 + 0*h**3 + 3 - b*h. Factor p(m).\nAnswer: 2*(m - 2)*(m + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269*((-2)\/(-6) - (-2)\/3)?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 87983.35537 to the nearest 10.\nAnswer: 87980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 232179 and 41?\nAnswer: 9519339","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(75\/(-65)) + (-27 - -24)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 + 5*c**2 - 5*c**2 + 2*c**2. Let h(t) = 2*t + 23. Suppose -5*s = 2*x - 10*s + 14, 20 = -x - 4*s. Let j be h(x). What is d(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(189)*-1 - sqrt(189) - sqrt(189))*1)\/(1*sqrt(363)) - (5*sqrt(756)*1)\/(sqrt(72)\/(sqrt(6)*2)).\nAnswer: -339*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 6:33 AM?\nAnswer: 5:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of r**6\/120 - r**5\/15 + r**4\/8 - r**3 - 2*r**2 + 4. Let w(m) be the second derivative of c(m). Calculate w(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 39*v + 33. Give s(4).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/4 of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/((-27)\/(-12)) - 4162\/(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98039990 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 y(u) be the third derivative of 7*u**2 - 1\/60*u**5 + 0*u + 0*u**4 + 0 + 0*u**3. Let j(p) = 2*p**2. What is y(j(w))?\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.7, -5, 1\/5, 3 in descending order.\nAnswer: 3, 0.7, 1\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13 - (-16 + 18)) + -31?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*z + 0*z - 12 = 0, -2*z - 8 = m. Let d(c) = -c**m - c + c. Let l(u) be the third derivative of -u**4\/24 - 2*u**2. Determine l(d(j)).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5*p - 8 = -5*x, -2*x - 2*p + 8 = 0. Let m = -85\/21 - 9\/7. Let y = 14\/3 + m. Sort 0.5, x, y, -0.4 in decreasing order.\nAnswer: x, 0.5, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h + 10. Suppose -4*k + 8 - 32 = 0. Let y be t(k). Which is the nearest to 2\/7? (a) 0.1 (b) y (c) 4\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 15 = 5, -2*o - 36 = -4*p. Solve 3*y - 6 = 2*t + y, 0 = -2*t + 3*y - p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-5 + 9) - 3) + 1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 25\/72*x**4 + 0 - 1\/4*x**5 + 0*x**3 + 0*x**2 + 47*x + 1\/36*x**6. Solve l(k) = 0.\nAnswer: 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1a33 (base 12) to base 6\nAnswer: 22503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38290, 38215, 38140, 38065, 37990, 37915?\nAnswer: 37840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/20)\/a**(4\/9))\/(a*a\/(a*a**(8\/7)\/a))**(-18) assuming a is positive.\nAnswer: a**(18943\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 2*s + 5 + 3, -2*h = -5*s + 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2 + 5*s - 1. Let q(h) = 4*h**2 + 7*h - 1. Let j(o) = 5*q(o) - 7*z(o). Let y be j(2). What is the units digit of ((-22)\/4)\/(1\/y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1472 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from {w: 4, z: 4, p: 3}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -14*p - 1. Let h be i(3). Let z = 60 + h. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.41 + -0.01. Suppose 2*d + 5*r - 15 = 3*d, -4*r + 18 = -2*d. Let u = d + 7. Put -0.3, c, u in ascending order.\nAnswer: -0.3, c, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-2 + 0) - -1. Let w(g) be the third derivative of g**4\/24 + 13*g**3\/6 + 2*g**2. Let s be w(z). Solve 2*m + 3*b = -16, -4*m - b = -7*m - s for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71.5 - 72. Let m be ((-26)\/195)\/((-6)\/35) - 1. Put 1\/7, 0.1, w, m in increasing order.\nAnswer: w, m, 0.1, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2*p**2 - 9*p - 7. Suppose 2*h + 0 - 8 = 0. Let l be (7 + -3)\/h - -6. Calculate the least common multiple of 20 and k(l).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 246 is divided by 63.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -22. Let t = -10 - a. Let h = 3.9 + t. What is the smallest value in h, 1\/9, 4\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*b - 2*b + 2*b)*(2 + 3 - 4) + 2*b - 5*b + 2*b)*(20907*b + 6 + 14 - 15 - 7) to the form n*b + r*b**2 + h and give r.\nAnswer: -62721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 6 - 5 - 2*n + 11 - 4*n. What is the tens digit of q(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/(-104))\/(33\/(-110)*105*9\/(-162)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1254 divided by 46\nAnswer: -627\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 840.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (11\/(165\/6))\/((-2)\/(-30)). Find t, given that 35*t - 72*t - 10*t**2 - 2*t**2 - i + 22*t - 3*t**3 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - 3) + 18\/(-26 + 28)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38370 and 18292258.\nAnswer: 2558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0063212 to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 5)\/((-1)\/(-2)). Suppose 2*j - y = -4. Which is bigger: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 254, 818, 1900, 3668, 6290, 9934?\nAnswer: 14768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 7.7, -4, -0.2, -1\/22121?\nAnswer: -1\/22121","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2760 and 24.\nAnswer: 2760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-350))\/((-65)\/(-16380)*36)?\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98090 >= 98087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 2849 divide 3205421296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 46*w - 94*w + 48*w + w**2. Let r(t) = -2*t - 3. Let x be r(-5). Let n(l) = 7 + x + 4*l - 14. Calculate n(p(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2.2 (b) -2\/17 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 6 + a**2 + 0*a + 6*a - 2*a**2. Let k be h(6). Suppose k*w + 4 = 2*w. Are -1 and w unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1002 and 78?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 136, 796, 2570, 6010, 11668, 20096?\nAnswer: 31846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - 17 = -n, -m - 14 = -4*n + m for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 2*k - 20 = 0. Which is smaller: k or 0.071?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 13353959 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (-123)\/(-264) - 970\/(-1552)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10734\/29 + 552691\/1537. Let g = l - -54841\/265. Let r = -197 + g. Which is bigger: r or -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51.9999376 + -52. Round q to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 1*(-6)\/(-2). Let o be 1*(j - -2) + 2. Find the common denominator of -34\/5 and (-6)\/(-12)*70\/o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + 1.7. Suppose 2 = 2*m - 3*m. Put u, 0.2, m in descending order.\nAnswer: u, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2204, 6905, 14100, 23789, 35972, 50649?\nAnswer: 67820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35 - 135 + 27 - 760*j**2 + 72.\nAnswer: -760*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -700.1 and -0.99?\nAnswer: 699.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 3*q**3 + 0*q**3)*((8*q + 7*q - q)*(9 - 7*q - 9) + (-2*q + 3*q + 0*q)*(-2*q + 0 + 0) + q - q + q**2).\nAnswer: 198*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -8*h + 5. Let f(w) = -15*w + 9. Let m(i) = -4*f(i) + 7*t(i). Suppose 2*p + b = -0*p - 3, -29 = -4*p + 5*b. Suppose 3*l = p - 4. Give m(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**11\/((t**(-7\/5)*t*t)\/t*t)*(t**(-11))**(4\/11))**(-42) assuming t is positive.\nAnswer: t**(-1344\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.3, -8\/5, 9\/5960 in descending order.\nAnswer: 9\/5960, -0.2, -0.3, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14.1 + -13.9. Let x = -17 - -20. What is the closest to 1\/2 in i, -3\/8, x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b - 9. Let f = -48 + 31. Let z = f - -10. Calculate the remainder when 18 is divided by y(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 11) in base 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 315 + -277 - (-79 - -62).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.6 less than -6219.2945?\nAnswer: -6088.6945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 22*q - 0*q. Let l be 5 + (-5)\/(20\/q). Which is smaller: l or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4503, 4488, 4449, 4374, 4251, 4068, 3813, 3474?\n\"Answer: -2*l**3 - l + 4506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -24. Suppose -k - k + 8 = 0. Let m be (1 - 3) + k\/1. Solve y = l, m = -4*l + d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -32*z, 46*z - 50*z = 4*j + 65 + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 21 = 3*x + 2*x, -5*l + 5*x = 45. Let u be (2*2\/l)\/(-1). Let y = 0.55 - 0.05. What is the closest to u in -5, y, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(171)*1*-2 - (-5*(0 + sqrt(171)) - (3 + sqrt(171) + 1 + sqrt(171))))**2.\nAnswer: 240*sqrt(19) + 4339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f**2 + 4*f**2 + f**2)*((5 - 2 - 2)*(4*f + 3 - 3) - 550 + 40*f + 91*f + 548) in the form x*f**2 + g + t*f + k*f**3 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -33.3. Put g, -0.1, 4 in ascending order.\nAnswer: -0.1, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -3*y - 7226 + 23101, 3*y = -5*p + 15859. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80495.\nAnswer: 5, 17, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/27 - (-68)\/18. Suppose -t*y - 644 = -8*y. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 3*v + v + 15, -d - 5*v + 3 = 0. Suppose -b - 4*r - 8 = -8*r, 4*b - 7 = d*r. Solve b + 1 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d + -9b7?\nAnswer: -998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36929943 and 153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 4 = -3*x + 5*d, 0 = -4*x - 2*d + 4. Let r be ((1 - x) + 62)*2553\/222. Calculate the greatest common divisor of r and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -159 - -103. What is s rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20020112 - 102120021?\nAnswer: -122210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.993 + -1.007. What is the second biggest value in h, 4, -41?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -10, 0 = 3*l + 4*s - 96 - 38. Let k be ((-12)\/l)\/3 + (-62563212)\/(-114). Suppose -k = -u + 17*u. What is u rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -934*-0.4\nAnswer: 373.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of k**4\/4 - 3*k**2\/2 + 14*k. Factor c(n).\nAnswer: 3*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1440\/2016 + 1049\/119 - 10.\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11111 (base 4) in base 16?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4349387 rounded to two dps?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00639064574 rounded to three decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57743 (base 10) in base 2?\nAnswer: 1110000110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of 187*r**4\/4 + 464*r**3\/3 + 1619*r**2. What is the derivative of m(y) wrt y?\nAnswer: 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -7*r**3 + 22*r**2 - 4*r + 10. Let u(z) = -2*z**3 + 4*z**2. Let l(c) = h(c) - 4*u(c). Calculate l(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a meter in centimeters?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 125.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 75*b**3 + 29919*b**2 - 32394*b + 2400 = 0. Calculate b.\nAnswer: -400, 2\/25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 - 6*n - 10. Determine a(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*d + d. Let q(k) = 12*k**3 - 2*k + 7 + 5*k - d - 13*k**3. Let g(a) = 6*a**3 - 16*a - 16. Calculate -3*g(r) - 16*q(r).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -108984*g**6 + g**2 + 3*g - 100601?\nAnswer: -13078080*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 88.019 to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = 4*l - 141*b + 144*b, 3*l = -4*b - 19 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 2, -4\/9, 0.2, 0?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t**3 + 27*t**2 - 13*t + 21. Give d(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 934435?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 4*d + 3*p = 6, -p = -3*d + 10. Suppose 6*q - 19561 = q - d*t, -q = t - 3911. Let n = 6849 - q. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 25*t**2 + 40*t + 40. Let k(l) = -2*l**2 + 0*l**2 - 44*l - 3 + 41*l. Give 40*k(g) + 3*x(g).\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (h + 0 + 0)*(-13*h - 622*h**2 + 323*h**2 + 305*h**2) + 4*h**3 - 2*h**3 - h**3 to i + n*h + v*h**3 + u*h**2 and give v.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-14)\/u)\/u)\/u)**(-31) assuming u is positive.\nAnswer: u**527","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 18139 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2204 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: Which is bigger: -33436 or -33438?\nAnswer: -33436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + 10. Is (-5)\/((-50)\/4) - (-6424)\/d a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 57ac6 + 0?\nAnswer: 57ac6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/3*(-2 + -4). Let y(u) = 11*u + k - 6 - u**2 - 14*u. Calculate y(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.004 * -0.26\nAnswer: -0.00104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 19\/4*y**2 - 10*y**3 - 7\/4*y**4 - 3 + 10*y = 0.\nAnswer: -6, -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-111 - -7) + (1221 - 1233).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1184 divided by -7?\nAnswer: -1184\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s - 4. Let a = -2 - 2. Let v be -1 + 1 - a - -2. Does 10 divide w(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*m - 386 + 179 = 638 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -681 + 684. Suppose -5*p + 26133 = 2*x, -c*x - x + 2*p + 52278 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6114 - -1374?\nAnswer: 7488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrvrrvrvrrrvvvrrrv. Give prob of picking 4 r.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 896572?\nAnswer: 2, 19, 47, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/20*(-5)\/(-10)*-2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1418027 and 3?\nAnswer: 4254081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1060381, 1060387, 1060397, 1060411, 1060429?\n\"Answer: 2*u**2 + 1060379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -368 = -6*b + 2*b. Suppose 4*j - 37 = v, -4*j + 25 = -3*v - 6. Let i(u) = 3*u - 6. What is the remainder when b is divided by i(j)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -14*5\/90 + 1. Which is the closest to -2\/7? (a) 0.2 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(-1\/2)\/a*a*a)))**(2\/21)*(a**2\/a)\/a*a*a**(-1\/2) assuming a is positive.\nAnswer: a**(23\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 t when two letters picked without replacement from {h: 2, t: 5, x: 7, c: 3}?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -44, -100, -156, -212, -268, -324?\n\"Answer: -56*u + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 353762457 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*j + 1 = -88*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h + 5. Let w(y) = 3*y + 4. Let f = -3 + 10. Let q = f - 2. Let z(j) = q*w(j) - 4*i(j). Let o(u) = -2*u**2. What is z(o(c))?\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*v + 287 + 43. Is v greater than -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2042140532?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**2 - 9*s - 8. Suppose -14*o + 5*w = -9*o - 25, -4*o = 4*w - 12. Suppose 0 = a - o*i - 11, a + 4*i - 4 = 5*a. Determine f(a).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 57 = -2*c - 47, -5*i + c = 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 5 - ((3 - 10) + -4)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10561640389\/3920 + -2694296. Find the common denominator of n and 45\/112.\nAnswer: 3920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-702)\/(-468))\/(2\/(-24))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**3 + 4*p**2 + 8*p + 3. Calculate the remainder when 152 is divided by d(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nq when two letters picked without replacement from {b: 1, q: 1, x: 1, k: 1, n: 2, f: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, 10, 24, 46, 76?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 - -32. Suppose 37*d + 216 = 28*d. Which is greater: y or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 15\/26 and 97\/1664.\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -24824 divided by 962?\nAnswer: -12412\/481","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3636382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**3 - 65*v**2 + 31*v + 32. Let t be a(32). What is the closest to t in 0.1, 0, -4, -3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 11:39 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 6*z**3 - 40*z**2 + 1149*z - 11474. Calculate f(9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*d = -119896 + 317676. Is d a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.94 + -0.06. Let z = -2 - f. Let l = 6 - 9. Which is the nearest to 0? (a) z (b) l (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25211711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 117, 121, 125, 129, 133, 137?\n\"Answer: 4*j + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127*h - 1 - 258*h + 134*h)*(5 - 21 + 1)*(3 - 4 - 1).\nAnswer: 90*h - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2088 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - -66. Suppose -5*x + x = t - 326, -5*t + 91 = x. Suppose -2*d = z - x, -z - 79 - a = -4*d. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 45 in -1, -1\/383, 119, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(64) - (sqrt(16) - sqrt(112)\/(4*sqrt(7))))\/(sqrt(512) - sqrt(512)*1 - sqrt(512) - (sqrt(8) + 4*sqrt(8) + sqrt(8) + sqrt(8))*2).\nAnswer: -13*sqrt(2)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 66.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2*n - 23 = -5*n, -2 + 7 = -5*c + 5*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 69*a + 2*a - 426 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8*y. Let z(g) = 3*g + 15. Give n(z(f)).\nAnswer: 24*f + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 2*a = -3 - 4, -19 = -3*g + 5*a. Suppose 0 = -3*u - 5*m + 674, 0*m - 642 = -3*u + g*m. Suppose u = 4*z - 54. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4463354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/10)\/(2\/6). Suppose -i*g - 12234 = -v, -13*v + 9*v - 2*g + 48950 = 0. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 119 - -78. Let a(f) = y - 94 - 103 + 2*f. Let t(m) be the first derivative of -m**3 + 8. What is t(a(d))?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-100)\/(-240)*(-73 + 289)?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zkzzppfzpmcfppzp. What is prob of sequence pf?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72\/3781423 or -1?\nAnswer: -72\/3781423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*f - 6. Let o(l) = -l**3 + 9*l**2 - 7*l - 4. Let w be o(8). Let b(s) = -4 - s**2 - 3*s + 0*s**f + 0 + w*s. What is b(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 + 22\/5)*5. Suppose -t*b + 6*b = -40. Suppose 5*l - 794 = j, -5*j = -14*l + 16*l - 323. Calculate the remainder when l is divided by b.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3583\/4072*206\/75. Let l = 2\/12725 - y. Find the common denominator of l and -121\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -43 (c) 1\/20 (d) -592\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*r - 19*r**3 + 21*r**3 - 6*r + (3*r - 6*r + r)*(-8*r**2 + 10*r**2 - r**2 - r**2 + 4*r**2 - 2*r**2 + (-3*r - r + 5*r)*(-3*r + r + 3*r)).\nAnswer: -4*r**3 - 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15\/4 in -0.3, 21\/8, -3?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 - 10*b**2 + 8*b + 20. Calculate the smallest common multiple of o(9) and 9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 64*t - 286 - 354 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 4*k + 81*c - 86*c, -4*k + 4*c = 12 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 68655, 3, 709, 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1496 and 10?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 7*c - 2*c + 9*c. Let x(q) be the first derivative of 5*q**3\/3 - 55114. What is x(n(d))?\nAnswer: 980*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*21\/(-7))\/(-7)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 359, 297, 185, 17, -213, -511, -883?\nAnswer: -1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/7)*p*p**22*p assuming p is positive.\nAnswer: p**(166\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7491.121ml?\nAnswer: 7.491121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2548?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7)\/(-5) + (-2)\/5. Let n be (-3)\/(2 + u) + 1. Suppose n = -w - 3 + 13. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2021*r**6 + 32*r**4 - 2*r**2 + 1300*r + 2 wrt r?\nAnswer: -242520*r**3 + 768*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmummmmmumu. Give prob of picking 4 m.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2054 * 29350.\nAnswer: 60284900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 6800\/3 - 136\/(-102)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30335 - 15615. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 9*m**6 + m**2 - 5*m + 44. What is the second derivative of u(t) wrt t?\nAnswer: 1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -4, 0.4, 0.6, -2\/71, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45702 > 45706?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b - 5. Let p be f(-4). Suppose l + 16 = -2*q - 4*l, 2*q = -2*l - 4. Let u(i) = 0*i**3 + 2*i**q + 0*i**p + 3 + i - i**3. Calculate u(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56929 divided by -9.\nAnswer: -56929\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 195332909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 172 = -108. Let d = t - -70. Round d to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*s = -187*s + 76*s + 50*s + 1078 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Solve 45*n + 3*d - 13 = 47*n, -4*n = 2*d - 14 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 + q**2 - q - 1. Suppose -2*t + 9 = -5*p, 4*t + 26*p = 28*p + 58. Let i(f) = f**2 - 16*f - 18. Let g be i(t). Give c(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c - 1. Let y be m(2). Suppose 0 = 5*i - 3*q, -3*i = -4*i + 2*q. Sort 3, y, i in decreasing order.\nAnswer: 3, y, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q*q*q\/q**(-1)*q)**(-42))**7\/(q\/(q*q**0\/q*q)*q**(1\/6)*q)**(-11\/2) assuming q is positive.\nAnswer: q**(-28147\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiixiiixxiii. What is prob of sequence xxx?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j - 1. Let x = 146 - 154. Give z(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7327099 minus 0.2?\nAnswer: 7327098.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n - 7779 = 2352. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -75 - 33. Suppose 0 = -5*p - q + 64. Suppose -6*s + p*n + 520 = -2*s, s = 4*n + 144. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 1. Let i be l(1). Let s be (i\/5)\/(3\/(-15)). What are the prime factors of 1 + 1 + s + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2565513*b**2*p - b*p**2 - 144*p**2 + 12506*p wrt b.\nAnswer: -5131026*b*p - p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4959 and 2394.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2126589779 to the power of 1\/2, to the nearest integer?\nAnswer: 46115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 65? (a) -2 (b) -3 (c) 2 (d) 21 (e) 74\/63 (f) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103530368 and 35872?\nAnswer: 1888","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -342 + -2?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 222104.\nAnswer: 2, 27763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 105 + -102. Sort -5, 1\/5, x in ascending order.\nAnswer: -5, 1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/276 + 254303\/8211?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18463215 and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3)*15\/(-2). Suppose l - 93 = -4*m, l + m - o*m = 69. Let v = -697 - -724. Calculate the greatest common factor of l and v.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2bd - -8c4?\nAnswer: ba3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -9\/2*l**2 - 6 + 9*l. Differentiate h(x) wrt x.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - o - 63, 0*o + 48 = 4*h - 4*o. Suppose g = 2*m - 8, 0 = -2*g - 0*g. Calculate the remainder when (-700)\/(-22) - m\/(-22) is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 11}. What is prob of sequence lw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**3\/3 + 982*h**2 + 7*h. Let r be i(0). Suppose -2*v + r = 2*v. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1272 divided by 159\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1008 and 672?\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.177 - 21.023. Let u = 842 - 821. Let n = r + u. Put 0.4, -5, n, -6 in ascending order.\nAnswer: -6, -5, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5276*j - 4*w + 29 = 5271*j, 3*w - 18 = 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = k - 5, -4*k + 5*y = k - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 3 + 46 = s, 0 = 4*p - 3*s - 66. Let q(k) = 2*k - 25. Let n be q(p). Solve 5*m + 12 = -2*z - 12, -n*m = -z + 18 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/128275 and -29\/2765.\nAnswer: 10133725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in twenty-seven fifths of a millennium?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 PM and 3:25 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 1547*u - 2956. What are the prime factors of a(10)?\nAnswer: 2, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 91 + -86. Suppose 5*o - 35 = -5*b, 0 = -2*o - 5*b + 7 + 19. Find the second derivative of -9*h**o + 12*h**3 - c*h - 2*h wrt h.\nAnswer: 18*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9919 is divided by 4953?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-4 - 24) + 11 - (-1 + 7).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -9. Let m = 16 - a. What is the common denominator of (m\/(-7))\/(5\/(-7)) and 43\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221058317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -7*c. Suppose 0 = -c*f + 2*f - 44. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k. Let o be y(1). Suppose -7*t = -2*t - w + 305, -4*t = -w + 245. Let m be 24\/t*(-5)\/3. What is the closest to m in o, 3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*4*sqrt(224) + sqrt(224))\/(6*sqrt(700)).\nAnswer: -19*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 36553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, i: 2, b: 1, c: 2, r: 1}. What is prob of picking 1 b and 2 i?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6359696 is divided by 244?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-12))\/(1\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 10, 5*z = 4*t - 2*t + 90. Calculate the highest common factor of 18 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 6 = -4*r. Suppose 0*b - 1146 = -r*b. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -12. Let b be 13 - -1*u\/(-3). What is the units digit of (-5)\/(-15)*b*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + 3)*(0\/(-2) - -1). Let v = q + -4. Is 17\/6 equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -53*c + 49*c. Suppose 3*y + 2*u - 4*u = 14, 0 = 3*y + c*u - 49. Suppose h + 0 - y = 0. What is the greatest common divisor of h and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-113 - -33) - (610\/544 + -1)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 9*d**2 + 7*d - 5. Let q be b(-8). Solve -q*u - m - 15 = 0, m - 15 + 2 = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 50 (b) -0.115 (c) -65\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22850490?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*o - 12*o - 18 = 0. Solve -6*b + b - 18 = r, 0 = -3*r + b - o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 8*i**2 + 3*i + 4. Let u be f(-8). What is the least common multiple of 15 and 14\/6 - u\/30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, i: 8}. What is prob of sequence yi?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/5 and 169\/4554.\nAnswer: 22770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -582*t**2. Let s(n) = 517*n**2. Give a(s(c)).\nAnswer: -155562198*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2959\/7 + 424. What is the common denominator of 9\/(-27) - (-284)\/(-30) and y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 12:25 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -21 - -1bd7?\nAnswer: 1bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 41 + -43. Which is the second biggest value? (a) v (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jhjhhhhjjhhhjhhjhh. What is prob of sequence jjhh?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 30\/10 - (1 - -6). Let d be (24 + t - 3) + -2. Let h = d - 12. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006519 to six dps.\nAnswer: -0.000652","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(2*c - 4*c + 4*c)*(282 + 370 + 54).\nAnswer: 1412*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 + 4*g - 3. Let a be d(2). Is 345 + (a + 4 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ama when three letters picked without replacement from {c: 1, m: 1, n: 4, a: 2, r: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32565.27 days to milliseconds.\nAnswer: 2813639328000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5930 is divided by 312.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus -12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 7:11 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, g: 3, s: 4}. Give prob of picking 2 x.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2334*h**4 - 758044 + 754139 + 5135*h**4 wrt h?\nAnswer: 29876*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 678436 and 1700?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15381956 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: Is 4998973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**3\/6 - 5*d**2\/6 = 0. Calculate d.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1093091 is divided by 273265?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1911 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 153029 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 12*b**2 + 1407*b + 346. Calculate i(-117).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31 - 26. Solve 0 = 4*y + 3*m + 8, 2*m + 9 = s*y + m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 1332.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9345*z = -49558 - 99962 for z.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 + 48*k - 122. Give m(-27).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1550 + -862. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20181 + -446641536.\nAnswer: -446621355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000393165 rounded to six decimal places?\nAnswer: -0.000393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 7*n - 4. Let d be p(2). Suppose d*f - 7*f = -6. Sort f, 1, 5, 7 in ascending order.\nAnswer: f, 1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, j: 3, s: 1, k: 1, x: 2, d: 3}. Give prob of sequence jxx.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 = 4*i - 4*p + 36, -i + 4*p - 29 = 0. Let f = -26 - i. Differentiate f + 0 - 2 + 13*t**4 wrt t.\nAnswer: 52*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b - 65 + 1584. Let k = b + -192. Is 2 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g - 88*g + 10082 = 0. Solve 8 + g = 30*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -45.73 - -45.7. What is the second biggest value in s, 4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9a6156 (base 13) to base 6\nAnswer: 210010541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -90, -133, -236, -429, -742, -1205, -1848, -2701?\n\"Answer: -5*z**3 - 8*z - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h + 31*h - 8 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.077 plus -570.584?\nAnswer: -570.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56 or -2269\/41?\nAnswer: -2269\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -383000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**2 - 5*p + 5*p + p**3 + (5 - 2*p - 5)*(3*p**2 + 6*p**2 + 6*p**2) + 0*p**3 + 0*p**3 - p**3.\nAnswer: -30*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in thirty-two fifths of a milligram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421327 is divided by 3901.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16000 and 89600?\nAnswer: 448000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2269 minus -7.861?\nAnswer: -2261.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 5*q + 80, -q = -3*c + q + 58. What is the least common multiple of (-7)\/(-28) + 7\/4 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -140*x**3 - 86 + 53*x**3 - 4*x**2 + 41*x**3 wrt x.\nAnswer: -138*x**2 - 8*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-394)\/46 + (-5)\/(-1). Let a = y + 2111\/276. Find the common denominator of a and -49\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008467655419 to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, f: 1, v: 6, d: 3, s: 4, j: 3}. Give prob of picking 2 s and 1 d.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 265061001 to the power of 1\/2, to the nearest integer?\nAnswer: 16281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f**2 - 4*f + 3. Let n(i) = i**2 - 5*i. Let j be n(7). Let l be 24\/j + 2\/7. Let o be y(l). Let x(d) = d**2 - 4*d + 2. Give x(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*k**3 + 7*k**3 + 3*k**2 + 8*k**3 + 2 + k**4 - k**3 to q + m*k**3 + h*k + t*k**2 + b*k**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 19227954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 9*p**2 + 5*p + 3. Let a be v(9). Suppose 4*m - a = 3*m. What is the greatest common factor of 6 and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 44*q. Let z(u) = -39. Let b(w) = -17*w - 234. Let v(m) = b(m) - 6*z(m). Determine i(v(y)).\nAnswer: -748*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132 = -3*i - i - 5*h, -i - 44 = 4*h. What is the remainder when 720\/21 - (-8)\/i is divided by ((-2)\/12 - 110\/(-120))*12?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73196078 to the nearest integer?\nAnswer: 8555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*v**2 - 235*v**2 + 24*v**2 - 10*v**2.\nAnswer: -296*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 15\/70*70\/(-210) + (-447)\/14\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7501198129 rounded to three dps?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange d**2 - 8*d**4 + 5*d**4 + d**2 - 1 to p*d + s*d**2 + y*d**4 + z*d**3 + k and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 30 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 159.989 - 159.3. Round h to 2 dps.\nAnswer: 0.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddyhygva. Give prob of sequence yg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 59. Let b be t(20). What is the greatest common factor of 79 and b?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-6) + (-157)\/(-471)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 28*o - 18. Let r be y(15). Calculate the highest common divisor of r and 10308.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*m - 28 = 0, 3*f + 3*m + 28 = -5. Let a be ((-15)\/f)\/((-3)\/(-9)). Calculate the common denominator of 34\/3*3\/a and 74\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 98 and 1568?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 145.3293905 and 1588.67.\nAnswer: 1733.9993905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2899 is divided by 77.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 26313 greater than 26318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.5 - -0.5. Let p = n - -2.1. Let s = -2 - -2.2. What is the biggest value in s, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -11\/41?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 40*z + 16. Let k be a(11). Let x = k + -312. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 960719?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7583943877 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - b - 7 = 0, -128*q + 5 = -127*q - 2*b for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -b + 4*b - 23, 6 = 2*b. Solve j = 2*y + 9, 2*j - y - t = -2 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - -1. Let z = 8 + -8. Let p = -4149 - -4154. Solve z = -r + f + 1, -r + 3*r + p*f - 23 = n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0349 - 12.4851. Let i = d + 0.62. Let n = i + 18.2. Round n to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 - 355*x - 2735. Give o(97).\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.583 - -0.187. Let x = f + -2.24. Let m = x + 21.17. What is m rounded to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146 - 84*y**3 + y**2 + 279*y**3 - 81 - 65.\nAnswer: 195*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (15\/2)\/3*68\/85. Solve 5*l + 3 = -q for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*n**3 - 112 - 4*n**3 + 2*n**3 + 3*n + 57 + 57 as w*n + o + d*n**2 + t*n**3 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -162 divided by -81?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 1)*(3*m**2 + 0*m**2 - 4*m**2) + 2*m**2 + 7*m**2 - 6*m**2 + 26 + 73*m**2 - 52*m**2 - 19 in the form a*m**2 + n + g*m and give a.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from mummumm.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 176*o - 641. List the prime factors of w(73).\nAnswer: 3, 13, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-75)*18\/(-40)*(-13960)\/(-4188)?\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -1. Let j(o) = -43*o - 38 + 26*o + 21 + 13. Calculate -j(q) + 4*y(q).\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54, 58, 38, -18, -122?\nAnswer: -286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*r - b = -2, 3*r - 5*b + 287671 = 287661 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/6 and 95\/42792?\nAnswer: 42792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11.45 + 12. Let t = 0.15 - q. Let i = -0.71 - 3.29. Which is the nearest to -1? (a) t (b) -3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -573*i + 784*i + 816*i in the form z + w*i and give w.\nAnswer: 1027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i**2 + 26*i + 15. Let o(u) = u**2 - u + 1. Let j(s) = -6*o(s) - z(s). Let d(t) = 4*t + 4. Let m(l) = 22*d(l) + 4*j(l). Factor m(x).\nAnswer: 4*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/24)\/(10\/(-16)). Let p = 0.04 - 0.06. Let s = -0.08 + p. Which is the biggest value? (a) s (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -65 + -263425?\nAnswer: -26348a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6841174?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, c: 1, t: 1}. Give prob of sequence ic.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 + -19. Let u = r + -15. Let p(l) = -4 + l - u*l + 4. Give p(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5139162\/(-378)*(-9)\/(3 - 0)?\nAnswer: 40787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 126*i**2 - 78*i**2 - 4 - 114*i**2 + 6.\nAnswer: -66*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of k**4\/24 + k**3\/6 - 2*k**2. Let b be m(-1). Solve b - 5 = t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-3)\/2 - -1 - 1825669\/(-122)?\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1475686 is divided by 169?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 35762 rounded to the nearest one thousand?\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21495135 and 420.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79165 and 5575?\nAnswer: 395825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 5, n: 9}. What is prob of picking 1 n and 3 z?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-480)\/(-400)*(-3)\/(9\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378705 and 165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125 divided by -265.\nAnswer: -25\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16126, -15435, -14754, -14089, -13446, -12831?\nAnswer: -12250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16684 is divided by 714?\nAnswer: 262","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 22935521 - 1.298532\nAnswer: 22935519.701468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 626415169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -2*i + c - 5*c, -2*i + 113 = c. Let h be 1*1\/(-3)*3*-11. What is the greatest common factor of i and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 256246 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/722 and 23\/9139190.\nAnswer: 173644610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*u - 165 = -14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -68.2 - -20.7. Let u = 53 + g. Let j = u + -4.5. Which is the closest to 1? (a) -2\/5 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3))**(-5\/6)*(h*h*h*h\/(h**26\/h))\/((h*((h\/(h*h\/(h**(4\/25)\/h*h)*h*h))\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(-3511\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122011202111 + 121?\nAnswer: 122011210002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -253*x + 8. Let u(h) = -381*h + 11. Give 8*l(d) - 5*u(d).\nAnswer: -119*d + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16977040 and 309800.\nAnswer: 84885200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 o, and 1 p when three letters picked without replacement from pomempppgp.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6055690 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 3*c - 22. Determine p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01573 rounded to 4 dps?\nAnswer: -0.0157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -391 (c) 174\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**2 - z**2 - 2*z**3 + (2*z - 1 + 1)*(24 - 24 + 15*z**2) + 306 - 14*z**3 - 306 to y + a*z + s*z**2 + t*z**3 and give t.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**3\/2 + 3465*j**2 - 370737*j\/2 - 1949346 = 0?\nAnswer: -9, 63, 6876","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14\/9*l**2 - 2\/3*l - 10\/9*l**3 + 0 - 2\/9*l**4.\nAnswer: -2*l*(l + 1)**2*(l + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -147917 or -147918?\nAnswer: -147918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 271 + -194. Let j = -60 + p. Let k = j + -30. Is k at least as big as -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from qnqqnnnn.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -4*t**2 + 0*t**3 + 0 - 1\/336*t**8 + 0*t**4 + 0*t**6 + 0*t**7 + 0*t + 3\/20*t**5. Find the third derivative of z(g) wrt g.\nAnswer: -60*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1997*r + 2000*r + x - 10, 0 = r - 4*x - 25 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (966\/(-24))\/23 - -3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.6 + -1.2. Let t = o + -0.2. Let s = -41\/2 + 21. What is the nearest to -1 in s, -3\/8, t?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 923 is divided by 116.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -24*c**2. Let z(q) be the third derivative of -q**5\/60 - 17*q**2. Determine r(z(y)).\nAnswer: -24*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + q. Let z(c) = 4*c**2 - 12*c + 5. Let w(y) = 6*m(y) + z(y). Let x be w(-5). Let d(o) = -o**3 - 10*o**2 + 17*o + 1. Is d(x) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 14 = -2. Let f(c) be the second derivative of c**5\/20 - c**4\/2 - c**3\/6 + c**2 + 7*c. Determine f(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5898835 divided by -31\nAnswer: 190285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8387465 to the nearest integer?\nAnswer: 2896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 16\/5, -1224, 1 in descending order.\nAnswer: 16\/5, 1, -2, -1224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, 34, 46, 56?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*p = -174*p - 738 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/13 in 0.2, -3, 21.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 26*m**4 + 17*m + 11. Let c(u) = -4 + 9*u**2 - 9*u**2 - 6*u - u**4 - 8*u**4. Let q(r) = 11*c(r) + 4*g(r). What is the second derivative of q(a) wrt a?\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3192116 and 3982?\nAnswer: 35113276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**5\/6 - v**4\/24 + v**3\/6 + 32*v**2 + v. Suppose -4*t + 8 = -4*r - t, -3*r = -2*t + 5. List the prime factors of a(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 816810.2l?\nAnswer: 816810200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 6420658?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 2*s - 218. Let l = -28\/4157 + 4514642\/20785. Let m = l + s. What is the second biggest value in 2, m, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.39022508 to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 214 or 1077\/5?\nAnswer: 1077\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.1204452 rounded to three decimal places?\nAnswer: 13.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 232865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221 (base 4) in base 13?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.95 - 6.95. Let g = 5.3 + -5. Put g, 0.4, 1, m in descending order.\nAnswer: m, 1, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.6298*-0.3.\nAnswer: -0.48894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -1\/20*p**5 - 3*p - p**2 + 0*p**4 + 0 + 1\/3*p**3. Let h(n) be the first derivative of s(n). Differentiate h(r) wrt r.\nAnswer: -6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 r when three letters picked without replacement from {r: 4, d: 2, f: 1}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1)\/((k*k**0)\/k)*(k\/(k\/(k\/(k*k\/k**6*k))))\/(k\/(k\/(k*k**(-2\/15)*k))*k)*(k**8\/k)\/(k**(3\/2)\/k)*k\/(k*k**(-1\/8)*k*k)*k*k**(3\/5) assuming k is positive.\nAnswer: k**(763\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-17)\/5 - (-6)\/(-10). Let t be (-2)\/f - 7\/28. Which is the nearest to -1? (a) -2\/5 (b) 0.3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = -13*w + 777. What is the highest common divisor of 20 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -16. Let p(q) = q + 1. Let w be p(a). Solve -3*i - 3*x = -w*x, 3*i + 10 = -5*x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 155.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2312 is divided by 559?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c7 - 25?\nAnswer: 3a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 364522 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34 (base 6) to base 12.\nAnswer: -1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.1 and 3\/4202 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*i**4 - 2*i**2 + 2*i**3 + 14*i**4 + 3*i**2 + 2 to the form k*i + r*i**4 + n*i**2 + m + g*i**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-2\/9)*v*(v\/v**(-7))\/v*v*((v\/v**(1\/8))\/v)\/(v*(v*v**(4\/7))\/v) assuming v is positive.\nAnswer: v**(3569\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -103*o + 303. What is j(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478548096.\nAnswer: 2, 3, 13, 17, 5639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*(-7)\/182*4\/(-22).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/120 and 19\/420.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3 = 3*p - 0, -r = -p + 1. Let x(v) = -5*v + 9. Let b be x(p). Solve -3*w + 2*t = t + 11, -22 = w - b*t for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, v: 3, w: 1, j: 1, b: 6}. Give prob of sequence wvj.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3957630 and 348.\nAnswer: 7915260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10780 and 517.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q**2 + q. Let o be i(3). Suppose o = 5*m - 6. Suppose 144 = 1188*t - 1180*t. Calculate the lowest common multiple of m and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-134 + 6*h + 134)*(-317*h**3 + 100673*h**2 - 100673*h**2) + h**4 - 2*h + 2*h + (-2*h**3 + 2*h**3 + 2*h**4)*(-1 + 0 - 1).\nAnswer: -1905*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*f + 2. Let r(j) = -11*j. Let g be r(f). Let a(x) = -3*x**2 + 70*x - 12. Let n be a(23). What is the highest common divisor of g and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1, -3 in ascending order.\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 273 and 1983527.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2e3 (base 15) in base 5?\nAnswer: 10123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11 + 19?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/9)\/s*(s\/(s**(2\/11)\/s))\/s*(s*s\/(s*s**(-1)))**(4\/13)*((s\/(s\/s**(-1)*s))**(3\/34))**(-22) assuming s is positive.\nAnswer: s**(96859\/21879)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/(sqrt(20)\/(sqrt(5)*1)) + -1*sqrt(10)\/(1*sqrt(2)))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20789 - -20788. Are o and -1\/25972 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-12)*152\/(-285)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 3 = v, 4*y + 4*v - 1 = -13. Let x(n) = -n**2 - n + 3. Let g be x(y). Suppose -t + g*t = 23600000. What is t rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84 and 90.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/198*(-53 - (-114 + 52))\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 8. Let n be -8*(y\/8)\/((-4)\/16). Put n, -17, -2, 2 in increasing order.\nAnswer: -17, n, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -35 - 3?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 1 = 3*z, 4*z = 4*j - 32. Let p be 2\/(2 + -1 + j). Let o = -2.931 + -0.069. Which is the third smallest value? (a) 0 (b) o (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j + 2*j)*((1 - 5 - 13)*(5*j + 11*j - 3*j) + 0*j - 4*j + 3*j).\nAnswer: -222*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the second derivative of -13*u**6\/240 + 2*u**5\/15 - 13*u**4\/12 + 16*u. Let c(f) be the third derivative of a(f). Is c(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210220 + -10000010202?\nAnswer: -10000221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 10 - 5 + 6*m - 8*m + m**2. Let u be v(4). Calculate the highest common factor of 65 and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 113569.\nAnswer: 113569","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11150737 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 s, and 1 w when four letters picked without replacement from piswiww?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1088) + 0)*2 + 4)**2.\nAnswer: 128*sqrt(17) + 4368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 5) to base 8.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2*m = -2, -4*m - 4 = -4*a - 3*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*y + 2*y. Suppose 21*x = 22*x - y. Let h(m) = 3*m. Let j(t) = 5*t. Give x*h(v) - 4*j(v).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*a + 5 = -31*a. Suppose 0*m = -5*s - m + 18, 3*m - 18 = -3*s. Suppose x + 9 = 2*g - 2, -s*x = g + 12. Put a, 2, g in descending order.\nAnswer: g, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -3 (b) -1\/9 (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 7, i: 1, x: 2, v: 10}. What is prob of picking 2 v and 1 i?\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 346076 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91978839, 91978838, 91978837, 91978836, 91978835?\nAnswer: 91978834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-10008)\/(-48))\/(((-3)\/4)\/1). What is p rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**3\/4 + 5*h**2\/4 - 2*h + 1 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -20*h. Let q(r) = 15981404*r**2. Calculate y(q(i)).\nAnswer: -319628080*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 31705.9 times 1\nAnswer: 31705.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - ((17 - 42) + (64 - 8)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -47*u - 1173 + 1267. What is the smallest common multiple of u and 1571?\nAnswer: 3142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {q: 1, s: 11, g: 4}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Divide -258 by 31918.\nAnswer: -129\/15959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -333290 rounded to the nearest 10000?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-30))\/(4\/30). Let l = 12.3 + -12. Sort -4\/7, 5, f, l.\nAnswer: -4\/7, l, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 4*h. Suppose 2*i - 7 - 3 = h. Solve 3*u = i*u - 6 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 21 + -7 - (-7 - 0). Let a = p - 13. Suppose -c - 48 = -5*c. Calculate the least common multiple of a and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m. Let q be 1\/(1\/(-5)) + -1. Let u(g) = 9*g - 17. Let v(f) = -f + 2. Let d(t) = q*u(t) - 51*v(t). Give d(p(s)).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a**3*l + 118973*a**3 + 31*a**2*l - 113132023*a*l + 3*l wrt a.\nAnswer: -30*a*l + 713838*a + 62*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*u**3 + 7117 - 7117.\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 40, 0.082, 2?\nAnswer: 0.082","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*p - 36 = x, -2839*p + 1 = -4*x - 2842*p - 2 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(147456\/(-64)))\/((-3)\/(-12)).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -32.362 minus -1183?\nAnswer: 1150.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -5156*w - 860930. Determine i(-167).\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 - 5*h + 1. Let p be -4 + (5\/20 - (-22)\/8). Let t(i) = -i. Let w(n) = -n**2 - 3*n - 1. Let a(d) = p*w(d) + 4*t(d). Determine 3*a(g) - m(g).\nAnswer: -g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = 3*t - 68, -t + s = -s - 40. What is the remainder when t is divided by 7\/(-2)*(-60)\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*n**5\/4 - 19*n**4\/4 - 139*n**3\/4 - 17*n**2\/4 + 33*n + 9 = 0. What is n?\nAnswer: -3, -1, -2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3450\/45239 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 2:28 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dqqccdcchddcccch. Give prob of sequence hc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dygdmqmqgdmmmm. What is prob of picking 2 g, 1 m, and 1 y?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 81.15638 nanoseconds?\nAnswer: 0.00008115638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 57126?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 + 4*q - 143. Calculate m(-15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 15\/4*(-5)\/50*(-1996)\/(-16467)\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + 2 + 8 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 4 - 3 + 0 + 1 + 0 - 4 + 0 + 2 + 1 - 4 + 1 + (-1 - 4 + 3)*(0 + 3 - 1))*(2*q**3 - 5*q**2 + 5*q**2).\nAnswer: -28*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.69 + 3.81. Let l = 2.18 + -2. Let s = l - m. Round s to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55821124.\nAnswer: 2, 181, 77101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-77)\/(-42) - (94\/12 - 7). Let h(d) be the third derivative of -d**4\/24 - 2*d**2. Let g(x) = 2*x - 1. Give l*g(m) + 4*h(m).\nAnswer: -2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -o**3 - 47*o**2 + 70*o + 284. Let w be u(-49). What is the greatest common factor of 690 and w?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000360737482 to six dps.\nAnswer: -0.000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -25349 + 25349 - 7442*d as g*d + t and give g.\nAnswer: -7442","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6379 times -0.2?\nAnswer: 1275.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-435)\/40 + 11 - (-169336)\/64 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.4 - -0.3. Let i = 24.6 - 28. Let f = i + 3. Sort 2, n, f in descending order.\nAnswer: 2, n, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.35111 kilograms in grams?\nAnswer: 12351.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -11*g**2 - 2*g - 27. Let s(y) = 9*y**2 + 3*y + 26. Let l(t) = -5*f(t) - 6*s(t). What is the least common multiple of l(11) and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*j = -29*j - 43*j + 2803604. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/4 - 5009*c\/4 - 5005.\nAnswer: -(c + 4)*(c + 5005)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*b - 49*b**3 - 13223 - 160*b**3 + 13228 to the form f*b**2 + v*b**3 + u*b + w and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 22210010200002212?\nAnswer: -22210010200002201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Suppose 17 = l*f + 5. Suppose 20 - 6 = -7*i. Sort 5, i, f in descending order.\nAnswer: 5, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -88.05 < -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/(-20) - 74630493\/(-315) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6260\/(-1878))\/(3 + -4 + 76\/(-24)*-2)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*t - 4*p - 53, -2*p = -4. Suppose -3*w + t = 5*l, 4*w = -w. Suppose -5*n + 4 = -l*f + 2, -5*f = -20. Solve n*k + 1 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14101)\/7788 - 2*21\/(-36)*12\/8.\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*u, -6*r + 5*u = 26 + 27. Let t be (-5 + 23)\/(12\/r). Is t >= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*p - 5*z, 8 = p + 2*z - 6*z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) -4\/3 (b) -2\/13 (c) -132 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.0116 + 1.96. What is k rounded to 3 dps?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9 + 1. Let k = -4 - -1. Put k, v, -0.2 in decreasing order.\nAnswer: v, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a - 4*a + 5*a + 2)*(1 + 1 - 1).\nAnswer: -3*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -9*j**2 - 1. Let x be w(1). Let h = x - -17. Let i = h - 2. Solve 4*t + i = -3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a milligram in micrograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 + -56. Let o be 0\/(4\/x) - 7. Let d be -3 + (2 + -3)*o. Solve 0 = -d*q + 2*q - 4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 760, 1480, 2186, 2872, 3532?\nAnswer: 4160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 20\/(-15) + 18\/135\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 9667*c**4\/12 + c**3\/3 - 9*c**2. Let j be h(-3). Round j to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, 1\/3, -6\/11, -1\/2, 0.57?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**3\/6 + y**2 + y\/2 - 5\/3 = 0. Calculate y.\nAnswer: -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3204190835 rounded to the nearest 10000?\nAnswer: 3204190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7695, -10659, -13623, -16587, -19551?\nAnswer: -22515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.184 + -0.016. Let j = -33760 - -33745.919. Let g = j - y. What is g rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1110101101101 (base 2) to base 8\nAnswer: -16555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 173 = -10. Let x = w - -75. What is the highest common divisor of x and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/20553609 and -19\/33?\nAnswer: 226089699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 141 = -3*n + 3*v, -3*n + 131 = 5*v. Let k = n + 44. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(785*l**3 - 362*l**3 - 55*l**3) + l**3 + 0 - 2*l + 0*l + 3.\nAnswer: -367*l**3 - 2*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) -6 (c) 2\/17 (d) -4\/7 (e) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 29\/(-6)*(1 + -7). Let t = n - 31. Let d be t*(85\/(-30) + 3). Put -7, d, 0.1 in descending order.\nAnswer: 0.1, d, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 13*g**3 - g**2 + 3*g - 2. Determine v(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -253, -287, -359, -481, -665, -923?\nAnswer: -1267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 8*m**2 - 4*m - 13. Let r be u(9). Let j = -29 + r. Suppose -y + 268 = j*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -17, -35, -69, -125?\nAnswer: -209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 407*p + 107 = 403*p + k, 5*p = -k - 127 for p.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*f + 128 = -58*f. Which is the third smallest value? (a) f (b) 3.7 (c) -0.1 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 92\/7 or -80?\nAnswer: 92\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/22834 and 3\/133742.\nAnswer: 936194","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 2*o**2 + o + 2. Let c be a(3). Suppose r + t - c = -3*t, -r = 2*t - 13. What is the third derivative of -6*x**2 + 4*x**2 + 2*x**r + 2*x**3 wrt x?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4299 divided by -1433\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 12 = -2*w - 3*w, -4*d + 5*w + 16 = 0. Suppose 2 - d = -l. What is the second derivative of -3*r**5 - 5*r + 4*r + l*r**2 - 2*r**2 wrt r?\nAnswer: -60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = 5*k - 10. Let s = k - -19. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 395*v**2 - 132*v**2.\nAnswer: 263*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04876 to three decimal places.\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from nacaacncaccaanc?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1856542861 to the nearest integer?\nAnswer: 1229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1372 and 17614422.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-4)\/60*1*3.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 + (-255411)\/(-216) - -3. Let b = -1195 + o. Find the common denominator of b and 53\/(-6)*(-6)\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*h - 239*h**3 + 236*h**3 + 4 + 25*h + 2*h**2 to the form s + u*h**2 + k*h**3 + w*h and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 6*c**2 + 6*c - 7. Let t be y(6). Let b(g) = -t + g + 245. Let n(z) = 16*z**2. Determine b(n(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.14 + -0.14. Which is the third biggest value? (a) g (b) -0.3 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2*sqrt(55)*2)\/(1*sqrt(1100)))**2.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 110 is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3403.183 microseconds?\nAnswer: 0.003403183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 27671 = -19*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/1 + -1 - -3249. Suppose -x - d = 3076. Is (-2)\/(-1) - x\/19 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3614 - 2127 + 2057 - 3257)*(-6 + 8 + j**2 - j - 2*j) to the form v + k*j**2 + b*j and give v.\nAnswer: -13882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1.98. Let p = o - 0.02. Put p, -5, -0.5 in descending order.\nAnswer: p, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 13*b**2. Suppose -18 = -q + 28. Let n(k) = -47 + 93 - 2*k - q. Calculate n(r(f)).\nAnswer: -26*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) -2\/19 (c) -4237\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 227617 (base 9) to base 12\nAnswer: 67221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 167293589 to the nearest integer?\nAnswer: 551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 27 = 4*u. Let n = u + 33. What is the lowest common multiple of 4 and n?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 167754218 to the power of 1\/4, to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/5 (b) 0 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 71740.29 - 71396. Let o = -348.0038 - -0.0038. Let m = o + x. Round m to one decimal place.\nAnswer: -3.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -m**3 - 2423785*m**2 + 12098940.\nAnswer: -3*m**2 - 4847570*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341956 = 3951*v + 64997 for v.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcc when three letters picked without replacement from {h: 5, d: 5, c: 3}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3871283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*r - r + 0*r)*(4*r**3 - 6*r**3 + 10*r**3) to a*r + f*r**3 + l*r**4 + w + s*r**2 and give l.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**3 - 5*b**5 - 6*b**2 - 6*b**3 - 9*b**2 wrt b?\nAnswer: -300*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4404*f**3 + 8453*f**3 + f**2 - 4591*f**3.\nAnswer: -542*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in twenty-five halves of a centimeter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 x when two letters picked without replacement from ykkxkykpkpsyyyyy?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -210.923 and 1900.\nAnswer: -400753.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1\/3299 + 3293\/19794. Let s(n) be the first derivative of -1\/8*n**2 - u*n**3 + 1\/2*n + 49 + 1\/16*n**4. Determine j so that s(j) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1860 - 1864. Let n = 28 - 113\/4. Which is the third biggest value? (a) n (b) u (c) -0.03 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*6 + (2*sqrt(32))**2.\nAnswer: 42*sqrt(2) + 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3717016.14 and 10.\nAnswer: -3717006.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r - 1. Suppose -3*n + 5 = -5*j, -2*n = 7*j - 3*j - 18. Let a be y(n). Solve 6 = -a*v + 6*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 16*l**2 + 11. Let o = 5 + -9. Let f(u) = -6*u**2 - 3*u - 5. Let x(y) = -11*y**2 - 5*y - 9. Let d(t) = -5*f(t) + 3*x(t). Give o*m(a) - 22*d(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 - 11*q + 100. Calculate x(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 737243016 divided by 16754\nAnswer: 44004","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - (-24 + -7) - 20?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1728158 is divided by 180?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19151498 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -185, 7, 0.1, 707, 0.06 in increasing order.\nAnswer: -185, 0.06, 0.1, 7, 707","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 12986*b**2 + b + 1. Let r(n) = 11*n**2. Calculate z(r(g)).\nAnswer: 1571306*g**4 + 11*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 11*l. Let k(v) = 24 - 57 + v + 33. Determine j(k(c)).\nAnswer: 11*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y*y**(-2)*y)**39*(y**(-1)*y)\/(y*y*y\/y**(-9)))**(5\/2))**45 assuming y is positive.\nAnswer: y**(6075\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 5*d - 71, -3*d + 4*d - 2*h - 19 = 0. Suppose -15*m + 13*m + 18 = 0. Is (d\/m)\/5*1842 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1240 and 1612?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 3465?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 28*a**4*c + 2*a*c - 230*c wrt a.\nAnswer: 336*a**2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 + -9 - 13) + 2 + -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32615?\nAnswer: 5, 11, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55409009.\nAnswer: 53, 653, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/120 and 101\/3610?\nAnswer: 43320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 130 divide 4401930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**5\/5 - 168*n**4\/5 - 5536*n**3\/5 - 20064*n**2\/5 - 3872*n = 0. What is n?\nAnswer: -22, -2, 0, 110","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 642040 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 169 - (8\/(-2))\/2. Let d(a) = a**3 + 3*a**2 + 2*a + 1. Let t be d(-1). Let f be (-3 - -4)*19\/t. Calculate the highest common factor of f and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 4352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4575910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 4*r - 123, 1 = 5*r - 2*w - 128. Suppose 0*j - 2*j + 18 = 0. What is the highest common factor of r and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(468))**2 - sqrt(52)) + (-2*sqrt(117)*-2 + sqrt(117))\/sqrt(9).\nAnswer: 3*sqrt(13) + 4212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -107 + 3*o - 89 + 196. Let g(k) = 2*k**2 - 2*k - 3. Let t be g(3). Suppose -h - t = 2*h. Give p(h).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20808\/(-4046))\/(9\/42)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2195063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 195*k**2\/2 + 11*k + 191. What is the first derivative of n(m) wrt m?\nAnswer: 195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-99)\/(-9)*(-5)\/(-30)*(727 + -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*p + 6*p - 4*p)*(3*p**3 - 2*p**3 + 0*p**3) - 284*p**4 - 172*p**4 + 82*p**4 in the form n + a*p**4 + t*p**2 + w*p**3 + l*p and give a.\nAnswer: -367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 3*y - 3*s - 7, 0 = -2*y + 5*s + 7. Suppose c - 3*w = y - 0, -51 = -3*c - 3*w. Solve 27 - 9 = -2*b - 4*q, -3*b + q = c for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -282, -486, -1048, -2148, -3966, -6682, -10476?\n\"Answer: -30*a**3 + a**2 + 3*a - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -19286536 divided by -856?\nAnswer: 22531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 211819 = -l + 2988962, 0 = 5*v - l - 13885715. Let w = v + -1928143. What is w rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 769*i - 582. What is the remainder when k(3) is divided by 133?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -149.802 + 150. Round t to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*c - z + 15, 74*z = -5*c + 76*z + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 83193 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1e7232e - 1?\nAnswer: 1e7232d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1790619, -3581260, -5371901, -7162542, -8953183?\nAnswer: -10743824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.13042432 (b) 1\/2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 19*f**2 - 13*f - 9. Let p(j) = 40*j**2 - 30*j - 19. What is -13*o(r) + 6*p(r)?\nAnswer: -7*r**2 - 11*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cbbbbccbbbbb. Give prob of picking 1 c and 2 b.\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -245 + 236 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of y**7\/840 - y**6\/240 + 7*y**4\/12 + 5*y. Let d(t) be the third derivative of h(t). Find the second derivative of d(q) wrt q.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1469827 divided by 1151.\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**3\/9 + 64*l**2\/9 - 512*l\/9 = 0. What is l?\nAnswer: 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 257 = b, -4*b = -4*n - 2*b + 1028. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = 4*s - 65. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 3 (c) 0.2 (d) -0.03 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2972882.44, 4 in ascending order.\nAnswer: -3, 4, 2972882.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/1150463?\nAnswer: 1\/1150463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2732359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 752573?\nAnswer: 17, 44269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of ((-6)\/12 + -4)*-36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*j**2 - 63*j + 63*j.\nAnswer: -39*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v*v\/((v**18\/v*v)\/v*v)*v*v**(-1))\/(v\/(v**(-10)\/v*v))**(-35))**(1\/53) assuming v is positive.\nAnswer: v**(370\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 61767 divided by -773\nAnswer: -61767\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3920545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 37 - 3 = -5*b, 2*k - 5*b = -12. Let s be 24\/(-14) - (k + -6). Let u = -41\/2 - -22. Sort 1\/2, s, u in descending order.\nAnswer: u, 1\/2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16944 divide 4753690032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 84 + 84. Let k be (4\/(-5))\/(z\/(-30)). Sort -0.5, -5, k.\nAnswer: -5, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*(-8910)\/(-59840)*-34.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/(-20)*8\/(-12).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.50823 and -1.23?\nAnswer: 1.8551229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - (1 + (11 - -4))) + -9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*g - 4*b + b + 175 - 314 + 212 = 0, -g + 5*b - 31 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-224)\/(-408))\/14*(3\/(-2))\/(27\/(-54))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2*(-3)\/(-6) + 1. Suppose p + 8 = d*p. What is the greatest common divisor of 12 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 890?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*i - 2*x, 5*x + 16 = i - 0*i. Let c(n) = 7*n - 9. Let r(v) = 6*v - 8. Let g(t) = i*r(t) - 5*c(t). Let z be (1 - -3) + 2\/(-2). Determine g(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -749*c**2*r**2 - 31803*c**2 + 62*r**2 wrt r.\nAnswer: -1498*c**2*r + 124*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 2*u = 6*u + 39, 3*w = 3*u + 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 + 4)*(3*r - 4*r + 3*r).\nAnswer: 18*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 137*l - 37173. What is g(273)?\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/(-2*sqrt(4)) - sqrt(17) - sqrt(1377)*1)*2*-4.\nAnswer: 84*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24460 and 84542321?\nAnswer: 1223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -155, -0.3, 153?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1344539701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 8*t**3 - 2*t**2 + t. Let c(s) be the third derivative of s**5\/60 + 5*s**4\/8 + 5*s**3\/2 + 2*s**2 - 5*s. Let z be c(-14). What is j(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 885315183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**3 + 413*s**2 + 25586*s + 10168.\nAnswer: -(s - 124)*(s + 41)*(5*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20148900671 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5923.\nAnswer: 5923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 0.07 (b) -1\/5 (c) -3\/2 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4908, -7128, -9348, -11568, -13788, -16008?\nAnswer: -18228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*(m\/(m*(m**(2\/13)*m)\/m*m))\/m)*m)\/(m\/(m*m\/((m*m\/(m*m**(-12\/7)))\/m)*m*m*m*m))*(m\/(m\/(m\/m**13)))\/(m\/(m**(-9)*m)) assuming m is positive.\nAnswer: m**(-1325\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from guguuuguuuuu. Give prob of sequence gggu.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of -128.816 and 36.8.\nAnswer: -92.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*h = -134*h + 427. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8698207 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s**3 - 4*s**2 + 2*s. Let x(r) = -r**3 + 4*r**2 - r. Determine -3*n(t) - 4*x(t).\nAnswer: -2*t**3 - 4*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -51062548*k**2 - 142474203*k wrt k.\nAnswer: -102125096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1823896?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-27 - -3) + -369 + 393?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 53 = -43*n - 504 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b - b + 0*b + (2*b - 2*b + b)*(0 - 1 + 0) + 4 - 4 - 2*b + 0*b + 2*b - 3*b + 0 + 1 - 55*b + 98*b.\nAnswer: 41*b + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 19530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.19 - 69.81. Let w = -69.7 - t. What is the second biggest value in w, -27, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + 0*r + 0*r + (-2*r + 2*r - r**2)*(-2 + 2 + 2) - 12*r**2 + 4*r**2 + 4*r**2.\nAnswer: -7*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/92*16\/10.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*c - 2*p + 37, -6 = 2*p. Find the common denominator of (1\/((-9)\/264))\/(-2) and (27\/12)\/(11\/c).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 35 and 1.3813.\nAnswer: 36.3813","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -5*q**3 + 35*q**2 + 5*q - 35 = 0.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -24*c + 3. Let s(w) = -47*w + 6. Determine 11*n(u) - 6*s(u).\nAnswer: 18*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i**3 - 5*i**2 - 7*i + 6. Let b(n) = -n**3 - n**2 - n + 1. Let a be 2*(-25)\/10 + 0. Calculate a*b(y) + s(y).\nAnswer: -2*y**3 - 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3 = -4*z - 9, 3*z + 2 = c. Differentiate 8 + 20*f**c - 52*f**2 + 16*f**2 + 18*f**2 wrt f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**5\/140 + o**4\/7 - 9*o**3\/14 + o**2 - 377*o. Factor i(f).\nAnswer: (f - 1)**2*(f + 14)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17682840 and 2441916.\nAnswer: 512802360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/345*10\/10.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 49 = 38 + 31. Solve -u = 3*u + 3*g, 0 = l*u - 2*g for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-j + 4*j - 2*j)*(-3 - 2 + 1) + 2*j + 3 - 3)*(-2*j + 5*j - 2*j + (0*j + j - 2*j)*(21 + 21 - 20)) in the form o*j + k*j**2 + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 5*q - 22. Let s be r(8). Suppose 13*v = s*v - 200. 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: Suppose -4 + 15 = -r. Let j = r + 0. Let u(m) = m**3 + 10*m**2 - 12*m - 9. Let i be u(j). Solve i*x - 2 = 3*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295561 is divided by 34?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.865271cm to millimeters.\nAnswer: 88.65271","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1233 + 1797. What are the prime factors of y?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i - 17*i**2 + i**3 - 15 + 11 - i. Let k be u(17). Calculate the highest common divisor of k and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -29*s**3 + s**2 + 6*s - 7. What is y(1)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 0. Let i = 96392.5 + -96392. Let f = -1 + 2. What is the third biggest value in i, f, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.8084 plus 190?\nAnswer: 187.1916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*l - 75*l = 36 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 392 a factor of 4741735880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 12202840 a multiple of 806?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.2 and 577301368.\nAnswer: 577301369.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 38 + 244490?\nAnswer: 244508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 20*m**5 + 5*m**4 + 18*m**2 + 5. Let s(x) = x**4 + 1. Let n(p) = -h(p) + 5*s(p). Find the third derivative of n(o) wrt o.\nAnswer: -1200*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20640904.\nAnswer: 2, 1283, 2011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.229 - 2.766. Let m = 1 + 3. Let w = m + o. Round w to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4019 is divided by 60.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*j = 2*g - 940 + 1042, 0 = 3*g + j + 21 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 116781 and -3.6.\nAnswer: -420411.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 13 + -12 + 9 + -5 + 34.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*g = -5*c - 44, 4*c + 12 = -19*g + 21*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304014 divided by 6.\nAnswer: -50669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-11)\/(-7) - 3513913\/(-91) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2. Let l = 3 - 0. Let h(y) = -2*y + l*y + y. Give p(h(s)).\nAnswer: -20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -42, 1\/3, -8 in ascending order.\nAnswer: -42, -8, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1700 (base 9) to base 5.\nAnswer: 20141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 85538300 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p + 29 + 4. Let y(b) = -p*b + 0*b - 9*b. Let n(d) = -4*d**2. What is y(n(k))?\nAnswer: 80*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 355315145?\nAnswer: 355315143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 2229?\nAnswer: 11145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 g, and 1 s when four letters picked without replacement from irsgiggrigi?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -56*b**2 + 16*b - 393. Determine r(0).\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.13 - 34. Let y = r + -0.1. Let a = y + -0.030012. What is a rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 + 6*p**2 + 3*p + 24. Let l(a) = 2. Let s(d) = j(d) - 15*l(d). Factor s(v).\nAnswer: -3*(v - 2)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 173125 and 149857?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 650 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = x + 4. Let s = -1 - -3. What is the units digit of (1 - (x + s)) + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -555821, -555823, -555825, -555827, -555829, -555831?\n\"Answer: -2*k - 555819","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from nebenebn?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/9 + 40*x**2\/3 + 56*x + 512\/9.\nAnswer: -2*(x - 64)*(x + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-1)\/25)\/((-28)\/(-140))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05617428 - 0.057346. Round m to five decimal places.\nAnswer: -0.00117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w - 5*w**2 + 0*w**3 - 5 + 4 - w**3. Let n be j(-5). Let r(a) = 2*a + 46. Let s be r(-23). Solve s = -g - 4 + n for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 522, -4, -1?\nAnswer: 522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 5*w - s - 30457 = 0, 2*w = 5*s + 30477. What is the units digit of (w\/(-12))\/(-1) - (-119)\/714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76 - -87. Suppose 13*v - 6 = h*v. Which is the third smallest value? (a) 2 (b) 5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*a - 3*x - 45 = -99*a, -4*x - 67 = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - (3 + 0))\/(-5 - -2). Solve 0 = -t*i - 2*y - 8, -3*i = -4*y + 6 - 1 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.745 and -12.53.\nAnswer: -18.275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-9)*(-1 + 1). Suppose -3*s - 2*w = -0*s - 2361, l = s + w - 787. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -1220, -4016, -9440, -18368, -31676?\nAnswer: -50240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - y + 10 = 0, -218 + 198 = w - 61*y + 59*y for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqaoaeqatqe. Give prob of sequence eqo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1463 + 33419978\nAnswer: 33418515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*c - 19503985 + 19501312 = 0 for c.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -374, 353 in descending order.\nAnswer: 353, -1, -374","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -361.692 - 0.308. Let b = 361.7 + j. What is the closest to -0.4 in 1\/2, 0.2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8300223761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1074253, -1074256, -1074257, -1074256, -1074253, -1074248?\n\"Answer: k**2 - 6*k - 1074248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 h when four letters picked without replacement from {h: 7, n: 6, u: 1, s: 4}.\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97*s - 3*q = -96*s + 6, 0 = -2*s - 4*q - 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/5 in 1, 3\/2, -0.063?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 41900640 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3143.26 + -3076. Let g = -5.6 + 73.6. Let z = g - m. Round z to 1 dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - -29 - 7) + 2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.5 - -11.5. Let q = -0.3 + 0.29. Let n = q + -0.39. What is the nearest to -0.1 in n, l, -4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 12 = -u, 2*z - 4 + 12 = 2*u. Suppose w - 10*w = u. Solve w = -3*m - 0*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1437 + 1436. Let g be (4\/(-3))\/(3 - (-69)\/(-9)). What is the second smallest value in 36, m, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 0.08.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 536, 4259, 14344, 33971, 66320, 114571, 181904?\n\"Answer: 530*d**3 + d**2 + 10*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = d + 2*h - 30, -h - 88 = -3*d. Is 7 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 124 = 6*d. Let q = -14379 + 14450. Let k = q + d. Calculate the greatest common factor of k and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + 1 - 1)*(-82 + 89 - 262)*(-o + 3*o - 4*o)*(0*o + 0*o + o)*(-o + o + o).\nAnswer: -510*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*i**2 + 2 - 2 + 2*i**2.\nAnswer: 20*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -485*g**2. Let t(l) = 1857*l. Calculate t(q(w)).\nAnswer: -900645*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 4708910 = 21679472. Let c = k - -5149426. Suppose 0 = -2*x - 2*x + 4*u - c, 5*x + 27650012 = -4*u. Round x to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 - 55*f**2 + 179*f - 10. Let g be u(3). Sort -4, 1, g, -199, -5.\nAnswer: -199, -5, -4, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102334003 + 0?\nAnswer: -102334003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*z - 782 + 383 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*w = -0*o + 10, 5*w = 3*o + 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o + 13*o**4 - 3*o + o wrt o?\nAnswer: 156*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32.14724 to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 12*z + 2*z. Round z to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:10 AM and 7:16 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 65 - 41 + 863*s + 8338*s + 1059*s.\nAnswer: 10260*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:12 PM and 12:41 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z**3 + 18*z**3 + 5*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320 (base 4) in base 9?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 + 2*p**2 + 7. Let g be w(-3). Let a(z) = -4*z**2 - z - 2. Let b(i) = -8*i**2 - 2*i - 5. Suppose -4 - 11 = -3*l. Give g*b(o) + l*a(o).\nAnswer: -4*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -11*v**3 - 7*v**2 - 7*v. Suppose d + 20 = 3*b, -8*b + 37 = -3*b + 2*d. Let r(g) = 6*g**3 + 3*g**2 + 3*g. Determine b*r(s) + 3*m(s).\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 3 + 4504*y - 4503*y.\nAnswer: y - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 5 = -p. Let b be 2 - (-2 - (p + -2)). Suppose q - 11 = -b. What are the prime factors of q?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + sqrt(68) - sqrt(68).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = c + 4*c - 25, -5*a - c - 13 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5*w**2 - 3*w - 1. Let t(s) = 10*s**2 - 3*s - 1. Let x(j) = 7*p(j) - 3*t(j). What is the remainder when 99 is divided by x(4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/70? (a) -1 (b) -0.11 (c) 0 (d) -6 (e) 32\/5 (f) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11023080241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**2 - 3*z - 2. Suppose 3*a + 4*n = 12, n - 3 = 3*a - a. Suppose 3*x - x + 2 = a. Let q be p(x). Solve -j + 16 = -q*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 4:55 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2602040 is divided by 433673.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-1*sqrt(130) - sqrt(130))*5)\/(4*(sqrt(10) + sqrt(30)\/sqrt(3) + sqrt(10))).\nAnswer: 10*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1151532820 divided by 495070.\nAnswer: -2326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 36 = -3*t. Suppose t*q + z + 23 = 0, -16 = 3*q + 5*z + 11. What is the smallest value in q, -2, 7, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/(-24) - (-75)\/18. Suppose 2 = -g - 4*t - 18, 5*g = -5*t - 25. Solve -v*i - 6 - 6 = g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1564 + 1589 - 3309 = 12*f for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9896 - 9896.02771. What is r rounded to two decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-12)\/((z\/(z**(17\/3)*z*z)*z)\/z))\/(z*(z*z*z**(-18\/7))\/z)**20 assuming z is positive.\nAnswer: z**(128\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/46 and -32\/69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6)\/((-1)\/12*-10)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -6 + 3*s**2 + 6 + 9*s + 0 + 14. What is the units digit of w(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171116 by 22.\nAnswer: 7778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*f*z**5 - 9*f*z**4 - 70*f*z - 2*f wrt z?\nAnswer: 1000*f*z**3 - 108*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 14 = 10. Let g(i) = 2*i**3 + 29*i**2 + 11*i + 396. What is the remainder when d is divided by g(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**5\/20 + 3768*l**2. Let f(j) = 6358*j**2. Give f(z(k)).\nAnswer: 57222*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 149687934?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 4. Suppose -4*a + 4*q + 32 = -0*a, 4*q + 28 = 3*a. Put 0, n, a in ascending order.\nAnswer: 0, n, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75 - -72. Let n(r) be the first derivative of r**3\/3 + 2*r**2 + 5*r - 3. What are the prime factors of n(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 221068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j + 6. Let a(t) = 13*t - 11. Let d(x) = 6*a(x) + 11*r(x). Let p(s) be the first derivative of -s**2\/2 + 3. Determine d(p(o)).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -44 and 13545.\nAnswer: 13501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 26*-1*(-136)\/16. Let f = b - 158. What is the second derivative of 4*p + 63 + 18*p**3 - f wrt p?\nAnswer: 108*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 15*o**2. Let l(s) be the third derivative of -13*s**4\/24 - 9*s**2 - s. What is l(a(q))?\nAnswer: -195*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21398, 21395, 21390, 21383, 21374?\n\"Answer: -c**2 + 21399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 29\/((-58)\/144) + 17 + (33 - 70)\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 2. Suppose 6*l - 3*l + 1 = 4*i, 5*i = l + 15. Let o be z(l). Solve 2*j - o*x - 10 = 0, -4*x = 2*j - 3*x - 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 310808 to the nearest integer?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*n**3 - 15*n**2 + 117*n + 21531 wrt n?\nAnswer: 6*n**2 - 30*n + 117","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-10)\/3)\/((-12)\/(-18)). Let n(u) = -u**3 - 6*u**2 - 5*u + 1. Give n(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -48 + 44 + (6 - 10)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 6*g = 12. Let f be (5 - g) + 0*(-4)\/12. Calculate the common denominator of ((-204)\/(-30) - f) + (-994)\/80 and -11\/38.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -829 + 830. Put q, 5, -0.004 in ascending order.\nAnswer: -0.004, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/5, 29, 15\/7, 1.1?\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 10.95003 nanograms?\nAnswer: 0.01095003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/56 and -81\/952?\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -69 divided by -102?\nAnswer: 23\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 916715\nAnswer: 3\/916715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 159 + 283 = 4*a, 0 = 2*a - 3*r - 194. Calculate the remainder when 188 is divided by a.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x - 3 + 3 + 1 - 2*x - 1 + (1 + 1 - 3)*(2*x + 0*x - 3*x) - 8*x - 2*x + 0*x.\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 142006216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 7*k - 6. Let t = -7 + 3. Let z be (6\/t)\/((-9)\/12). Suppose -z*m - m - 15 = 0. Determine p(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 2\/9, 2\/5, 7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(1053) + 1 + 1 + -3 + 4*sqrt(1053) + sqrt(1053))**2.\nAnswer: -540*sqrt(13) + 189545","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -12 - (-98 + 102)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435068.\nAnswer: 2, 608767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 140 - 137. Suppose 0 = 3*w - 2 + 5, 5*s + 5*w - 15 = 0. Suppose -s*k = -o*k - 36. Is 10 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2123 - -515312?\nAnswer: 513156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1811 - -2463. List the prime factors of s.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*s**5 + s**4 - 5898757*s**3 - 298099380*s**2 wrt s?\nAnswer: -300*s**2 + 24*s - 35392542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.1 (b) -1.5 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 114*s - 662. What is the lowest common multiple of 18 and m(10)?\nAnswer: 4302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 1312?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + ((sqrt(98) - (sqrt(98) - 3*sqrt(98))) + -2 - 3*sqrt(98)*-5))**2.\nAnswer: -504*sqrt(2) + 31756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-10 + -6)) + -5 + (2 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13449 is divided by 13426?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 22*r**3 - 2*r**2 + r + 2. Let n be t(-1). Let u(k) = k**2 - 3*k + 8. Let y be u(6). Let c = n + y. Solve -c*z + 4 = 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2530)\/150 - 12.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u = -13210 - 11062. Let v = 2349 + u. What are the prime factors of v?\nAnswer: 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-120)\/25 + 4)\/(3\/30). Are -12 and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - 1 + 1 - 1131*v - 572*v**3 + 1131*v + (0*v**3 - v**3 - 2*v**3)*(-2 + 4 - 3) + 3*v**3 + 2*v**3 - 2*v**3.\nAnswer: -567*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 30*q**3 + 280*q**2 + 5*q - 115. Calculate v(-9).\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4055070 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 6:44 PM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/(1\/2))\/(-2)*0. Solve h = -3*g + 2*g + 1 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 16565 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3 + 22 + 25*q - 31*q**2 + 48*q**2 + 2. Let k be g(19). Let j = -94 - k. What are the prime factors of j?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46088 at least as big as 23484?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 25*p**3 - 5*p**2 + 15*p. Let b(w) = w**4 - w**3 - w. Let k(y) = -15*b(y) - x(y). Factor k(h).\nAnswer: -5*h**2*(h + 1)*(3*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4650)\/(-20))\/(-93))\/(5\/16)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (14 + -23) - (22 - -1 - (-73 - -83))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.9 + 5. Let w be (-7)\/(-21) - (-5)\/(-78). Let v = w - 25\/286. What is the second smallest value in 1, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*u - 14 + 41*u + 51*u as j*u + p and give p.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5490 + 9083. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence be when two letters picked without replacement from {b: 1, i: 2, s: 1, q: 1, e: 2, j: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-4)\/(-30)*5*6. Let d(p) = -p**3 - 4*p**2 - 7*p - 5. What is the remainder when ((-210)\/7)\/(y\/6) is divided by d(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/13, -699\/8, 4\/39?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 divided by 43.\nAnswer: 25\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*t + 1052 = 338 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 2 + (21 - 0) - 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3675)\/3234)\/(4\/(-264)).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 2:12 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - b**2 - b. Let j = 158 + -157. Let w(g) = g**3 + 15*g**2 - 15*g. Let t(h) = j*w(h) + 3*s(h). Factor t(n).\nAnswer: -2*n*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 e when four letters picked without replacement from {p: 6, e: 6}.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-12))\/(-5 - 44\/(-8))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-24)\/10 + 3)*5. Suppose -q*l = 5*l. Solve -2*y = -4*y + 4*t + 12, y + 4*t = l for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywvdqbw. What is prob of picking 1 d and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.04 + 13. Let u = m + 3.04. What is the second biggest value in 1, 4, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1415\/215286 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*q + q + 0*q)*(-53 - 10 - 7 + 3) as b*q + o and give b.\nAnswer: 335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147980868 is divided by 167.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 8309*l**3 - 8174*l**3 - 468*l**2 - 112*l**2 - 5*l**4 + 660*l = 0.\nAnswer: 0, 2, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/13943 - 13940\/41829. What is the closest to -1 in 2\/3707, -0.4, y?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7099)\/217 + 32)\/(8\/28)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -2\/11, -17\/16, 5 in decreasing order.\nAnswer: 5, 0.5, -2\/11, -17\/16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - -2) + 27 + 0. Suppose u = -3*c + 6*c. Calculate the greatest common factor of c and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -182*v - 511. Give u(-3).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -2. Let y(u) = u**3 - 4*u**2 - 4*u - 1. Let m be y(5). Suppose 0 - 8 = -q + 2*g, 17 = m*q - k*g. Solve -4*b + q*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-152)\/36 - -5)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(95) + (sqrt(95) - (sqrt(95) - -3*sqrt(95)) - sqrt(95) - sqrt(95)))\/sqrt(5)*-1 + (sqrt(133)\/(4*sqrt(7)) + (sqrt(19) - sqrt(931)*4))**2 + 3.\nAnswer: 4*sqrt(19) + 217579\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 1\/3 (c) 1.77 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 911956897 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 5) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1229034 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: What is the product of -1965 and 8.5?\nAnswer: -16702.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 2 i when three letters picked without replacement from iaaatnoaamaontaia?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 864139\/9304464 - -1\/31434. Find the common denominator of -73\/96 and m.\nAnswer: 3552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -148, 1620, 5314, 10934, 18480, 27952, 39350?\n\"Answer: 963*q**2 - 1121*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j**(-17)*j\/(j**(-19)\/j)*j)\/(j**23*j\/((j**(-8)*j)\/j)) assuming j is positive.\nAnswer: j**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)*-5*1 - sqrt(432))\/(3*(sqrt(9) + sqrt(54)\/sqrt(6)) + (sqrt(972)\/sqrt(3) - sqrt(9))))**2.\nAnswer: 1728\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or -0.727?\nAnswer: -0.727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 680859.1l?\nAnswer: 680859100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p - 14. Let a be r(-14). Let q be a\/(-2)*10\/10. Suppose 2*b = -3*b - 15. Put b, q, -8 in ascending order.\nAnswer: -8, b, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 10.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4674 (base 9) to base 6\nAnswer: 24021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((16\/12)\/((-8)\/(-6))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v - 18 + 73. Let i(p) = 14*p**2 - 7*p + 29. Let k(t) = 5*t**2 - 2*t + 10. Let q(g) = 6*i(g) - 17*k(g). What is the units digit of q(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 + 0.247\nAnswer: -22.753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3100423 (base 5) in base 14?\nAnswer: -14397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 371\/28 - (-9)\/(-24)*-2. Suppose 6*o = -o + t. Factor 2\/3*p + 1\/3*p**4 - 1\/3 - 2\/3*p**3 + 0*p**o.\nAnswer: (p - 1)**3*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) 17 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Let m be d(-5). Suppose 3*c = m + 4. Suppose 3*i = -3 - c. Is -1 >= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/6))\/(c\/(c\/(c\/c**(-39))))*(c**(-6))**49 assuming c is positive.\nAnswer: c**(-1997\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.1, -4.\nAnswer: -4, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 2590.08 micrometers?\nAnswer: 0.259008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, m: 5, h: 1, j: 5}. Give prob of picking 1 t, 1 h, and 1 j.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2835\/126 + (-45)\/(-6). Solve -51*q + 276 = -p for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 471 + -397. Let s = d + -82. Let k(y) = -y + 2. Give k(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (447 - 403) + 1 + (-4 - -1) + (6 - 5).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 13*k**2 + 12. What is y(-13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1431 (base 6) to base 9\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5877, 11763, 17635, 23493?\n\"Answer: -7*u**2 + 5907*u - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-4)*(-16)\/(-12). Let r = 11\/205 + 6\/41. Which is the third biggest value? (a) r (b) i (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34.3 + -34.4. What is the third biggest value in -6\/7, -5\/2, 0, n?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5924404 is divided by 31346.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1374 - -1154. Is -222 <= w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-52 - (2 + -1)) + 153 + -134?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 128 is divided by 38.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22378\/5 (b) -0.06 (c) -3 (d) 0 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k**3 - k**2 + 2. Suppose -29 = 17*u - 63. Let f(g) = u - 2*g**2 - 1 + g + 0*g - 2 + 3*g**2. Determine -b(d) - 2*f(d).\nAnswer: 2*d**3 - d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*m - 232*m + 910 = 108*m + 62*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 19, d: 1}. Give prob of sequence nnd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**2 + k**2 + 45 + 0*k**2 - 2*k + k**3 - 15*k**2. Let z = 3 + -2. Calculate the least common multiple of y(19) and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-1)\/1)\/(-5 - -4). Let j(t) = 25*t + 4. Let k(b) = -24*b - 5. Let z(g) = 4*j(g) + 3*k(g). List the prime factors of z(y).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.9896 + 0.0104. What is the second biggest value in -1, 1, u?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqfouovqqoqoquqq. What is prob of sequence ov?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34 + 2*r + 574*r**2 + 24 - 582*r**2 + 3*r**3 to the form m*r**3 + p + q*r + i*r**2 and give p.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 248694\/1267 + -196 - ((-662)\/(-14) + 1 + -1).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 1 - 2\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -800 + 819. What is the highest common divisor of m and 1957?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j + 1. Let i(n) = -5*n - 4. Let x be (7 - 3)*(-4)\/8*2. Let y(s) = x*p(s) - 3*i(s). Give y(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*k**5 - 8088*k**4 - 1020097*k**3 + 511566*k**2 - 64009*k = 0. What is k?\nAnswer: -253, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(140) - -5*sqrt(140)*1)\/(1*sqrt(180)))\/(3*(1*sqrt(100) - sqrt(100)) + sqrt(100)*2*-6).\nAnswer: -sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-49)\/9 + 0 + 3 and 14\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1206229372?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**2 + 3*v**2 - 3*v**2)*(-46*v**3 - 67*v**3 + 58*v**3).\nAnswer: 110*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 14*b**2 - 22*b + 131. What is y(13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 + 10)\/(8\/18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*a - 419 - 701 + 370 for a.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71.24927 nanometers to meters.\nAnswer: 0.00000007124927","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000110000110101111 (base 2) in base 15?\nAnswer: 163173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -8935, -35764, -80479, -143080, -223567, -321940?\n\"Answer: -8943*c**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 8, 1\/5, -2, 2.22, -1\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 - 7*x**2 - 4*x + 4. Let f(o) be the first derivative of o**3\/3 + 11*o**2\/2 + 24*o - 123. Let i be f(-7). What is m(i)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31082, -3, 5, -5, 27, 0.\nAnswer: -31082, -5, -3, 0, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*g + 77 wrt g?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-1\/2))**(-38)\/(i**3\/i**(-1)))**(1\/9) assuming i is positive.\nAnswer: i**(5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 17. Let x = -42 - d. Let n = -32 - x. Is 7 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**3\/p*p)\/p)\/(p**(-8\/7)\/p) assuming p is positive.\nAnswer: p**(29\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -176711.92 rounded to the nearest 1000?\nAnswer: -177000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -47.098 - -0.098. Let r = l - -51.5. Let v = 4.3 - r. What is the closest to -6 in 0, -2\/7, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-4)*(3 - -1). Suppose 53*c - 56*c + 24 = 0. Solve s = -3*b - c, -2*b - 2*s - q = -s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4 + -5)\/((-1)\/(-5)). Let u(h) = -h**2 - 6*h + 1. Let d be u(p). Is 10 a factor of 44\/d*(-6)\/(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.220035 and -0.035.\nAnswer: -1.255035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 484*o + 1029 - 16517 for o.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4644 is divided by 83?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1425, 1504, 1583, 1662, 1741?\n\"Answer: 79*x + 1346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - 844 + 352 + 370 - 5*y**2.\nAnswer: -2*y**2 - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 150 + 48 = 0. Let k be (17\/x - (-36)\/(-198))*10. Factor -k*u**2 + 20\/3*u**3 + 4\/3*u**5 - 5*u**4 + 1\/3 + 0*u.\nAnswer: (u - 1)**4*(4*u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 121 = 13*q. Let z = 2 + 2. Let a = q - z. Solve -a*k = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 3 = -7. Suppose y + 15 = 6*y - 2*n, s*y = -3*n + 12. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24622\/5 + 4924. Is i != 53.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34503 to the power of 1\/2, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 9454.265 to the nearest ten.\nAnswer: 9450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -52\/487 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 1486 = -3*r + r, 3*d - 1485 = -2*r. Let t = r - 322. Suppose 0 = 6*c + 62 - t. Calculate the greatest common factor of c and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 3692?\nAnswer: -3695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 334092?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 14*o**2 - 2*o + 16. Let f be t(7). Suppose 4*c - f*z - 6876 = -5*z, 6*c - 10314 = 3*z. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 33 - p**2 + 6 + 6. Let w be i(0). What is the highest common factor of w and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.725 + 28.425. Let z = s - 0.15. Let x = -29.0164 + z. Round x to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5376 or -18814?\nAnswer: -5376","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 856c (base 15) in base 8?\nAnswer: 67103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 518*n**2 + 12330*n + 147. Calculate d(-25).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.13252 - 292048.86748. Let z = -292021.99996 - c. Let u = z + -32. What is u rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*f - 136 = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 596*a**2 - 586*a**2 - 577*a**2 + 551*a**2 + 3.\nAnswer: -16*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 6 = 0, 112 = 5*b - j + 59 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/(n*n**(-2)))\/n)\/n)\/n**1)**5 assuming n is positive.\nAnswer: n**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 9 + 3051*b**4 - 3065*b**4 - 1 - 4*b**3 to the form w*b**2 + v*b + j*b**3 + o*b**4 + s and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -10101102 (base 3) to base 7\nAnswer: -10124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 896 and 96?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4446 + 1?\nAnswer: 4447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -1 (c) -310567\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -253, -503, -753, -1003, -1253, -1503?\nAnswer: -1753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1, 1\/4, -1\/8, 3, 3\/29, 9?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 125726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of 0 + 0*t**3 + 0*t**4 + 3\/10*t**5 - 15\/2*t**2 + 15*t. Differentiate x(a) with respect to a.\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 2\/13 (b) 1\/4 (c) -2 (d) 293 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w + 3*w - 94410*w**2 + 228595*w**2.\nAnswer: 134185*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*b = 10, 5*y - 16 + 14 = b. Suppose o + 2*z - 949 = y, 2*o + 3*z - 1894 = -2*z. Does 31 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-16)*2*-5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -665.6 + 666. Let s = -5.8 + 13.8. What is the third smallest value in s, h, 4, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2048713?\nAnswer: 19, 107827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 times 2.1?\nAnswer: 613.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 269*l + 10. Let w be y(0). Solve 1 = w*a - 69 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/10 and -123\/338990?\nAnswer: 338990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*v - 126 + 366. What is the remainder when v is divided by 4\/(-6)*-39*4\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 6) to base 10.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25816?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of d**8\/56 + 11*d**5\/60 - 13*d**2. Find the third derivative of z(f) wrt f.\nAnswer: 360*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*l = -417. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 5*f + 16. Let h be i(-8). Let r = -2 - h. Let j be 39\/r + (-1)\/2. Solve -j = 3*z + 3 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -0*a - 7*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 + -1. Suppose -7*i + 2*i = -2*i. Let p(y) = 7*y - 1 + f - 4 + i*y - y**2. Calculate p(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 15*t - 9620 = 0. What is the hundreds digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1678c5 (base 16) to base 8.\nAnswer: 5474305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.2 + 22.2. Let t = 17 - p. What is the nearest to 1 in 3, t, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 + 3*g + 2. Let y be b(3). Let d(p) = 3*p**y - p**2 - 4 + 4. Let i(u) = 995*u - 1984*u + 998*u. What is i(d(a))?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4c (base 13) in base 7?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvvwf. What is prob of sequence vw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 121, 262, 449, 676, 937?\nAnswer: 1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1413 = 166*t - 9*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(120) + sqrt(120)*-1 - sqrt(120)))\/(-1*sqrt(8)*6))\/(sqrt(90)\/(sqrt(6)\/(4*sqrt(3)))).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -34924090 rounded to the nearest 100000?\nAnswer: -34900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/5 (b) -2 (c) -14 (d) -21 (e) 3 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-60)*(-10)\/(-4)*1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29.7 + 29.8. Which is the closest to 2\/7? (a) j (b) 9 (c) -3 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -39427.7 and 4.\nAnswer: -39423.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2\/9)*n)**(2\/41))**25 assuming n is positive.\nAnswer: n**(350\/369)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 197496 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2119518740 rounded to the nearest 100000?\nAnswer: -2119500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**5\/10 - d**4\/12 - d**3\/6 - 6*d**2 - 7711*d. Determine z(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 66, 142, 260, 414, 598?\nAnswer: 806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 16 = d, 3*d - 15*f = -12*f + 27 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2492, -3123, -3724, -4283, -4788?\nAnswer: -5227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 248410 and 160.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 divided by 6?\nAnswer: 91\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/5 of a day?\nAnswer: 17280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3881122 or -3881121?\nAnswer: -3881122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4863240)\/(-1330))\/237*7\/15?\nAnswer: 36\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -42+43114129.077855\nAnswer: 43114087.077855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + u + 3. Let h be c(0). What is the first derivative of -7*p + 3*p - h + 2*p wrt p?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*w - 3630 + 3594. Suppose 5 = 5*d + 195. Let b be 15\/(-10) - 1*d\/w. What is the highest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + u + 2 - 2*u - 1054*u**2.\nAnswer: -1054*u**2 - u + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a minute in seconds?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 7. Let h be r(-11). Suppose 0 = h*a + x - 16, -a + x - 4*x + 4 = 0. Let s be 4*3\/24*(1 - -9). Solve -a*g - 18 = 3*f - 5*g, -s*f = g + 22 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 4240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 28*f**2 - 76*f - 91. Calculate x(25).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -371.79 + 370.1643. What is r rounded to two dps?\nAnswer: -1.63","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -120 by 66.\nAnswer: -20\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l + 5*l**3 + 0 + 411 + 104 - 28.\nAnswer: 5*l**3 - 2*l + 487","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 673933199 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: What is the lowest common multiple of 126 and 90?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5256 + -40?\nAnswer: -5306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.6 - -1.6. Suppose -12 + 1 = -2*a + m, -a = -3*m - 13. Suppose a*o + o + 40 = 0. What is the biggest value in d, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/i**(2\/7))\/i*i*i)\/i*i\/i**5*(i**(-2\/3)\/i)\/i*i*i*i\/(i**7\/i))**(-3\/23))**(-33) assuming i is positive.\nAnswer: i**(-6204\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1727661 and 98476677.\nAnswer: 98476677","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s**2 - 12*s + 3. Let o(n) = 11*n**2 - 24*n + 5. Let f(d) = -9*h(d) + 4*o(d). Let r be f(8). Let g = r + -18. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1365 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.2 + 0.6. Let z = -1.91 - 0.09. What is the biggest value in f, z, -2\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105783098.\nAnswer: 2, 31, 1706179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 4*b**2 + 2*b - 6. Let q be m(4). Suppose -h = r - 32, q*h - 5*r + 127 = 6*h. Calculate the highest common divisor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 4*m - 27. Let h be j(8). Suppose 7 - h = y. Suppose -2*b = 4*a - 254, 6*a - 244 = y*a - 4*b. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oobkkuy. What is prob of picking 2 k?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + a + 32, 3*v + a = 2*v + 16. Suppose -2*p + 6*p - 76 = 2*n, 3*n = -v. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t + 20. Let y(b) = b - 7. Determine -2*f(x) - 7*y(x).\nAnswer: x + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 - 1. Let s(c) be the third derivative of -c**4\/24 - c**3\/3 - 21*c**2 + 34*c - 19. What is s(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20561, 40874, 61177, 81464, 101729, 121966, 142169?\nAnswer: 162332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that p**2\/2 + 374427*p - 51675687\/2 = 0.\nAnswer: -748923, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81282.\nAnswer: 2, 3, 19, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-4)\/18)\/(5\/(-45)). Suppose -5*o - 2*r + 422 = 2*r, -2*r - 262 = -3*o. Suppose 0*n + o = a*n. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1155487?\nAnswer: 89, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/2, 0.3, -121\/5, -0.3, 0.1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.9 + 15. Let g = 0.2 - 3.2. What is the biggest value in -2, i, g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 0)*(-5 + 6 + 4)*(3*o - 5*o + 6*o)*(-3*o + 6*o - 2*o).\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 0. Let b = l - -4. Suppose -u - p = -0*p - 37, b*u + 2*p - 111 = 0. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.03, 9, -1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, 0.1, 13\/16, -6, -0.5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 969411?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 4*p. Suppose s - 1 = -2*w - 0*s, -2 = -3*w - 2*s. Does w = p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -540 + 312*y + 540 - 29*y.\nAnswer: 283*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1389 = q - 2*j, 4*q - 2*j = -6*j + 5508. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 193 - 195. Let h be ((-22)\/(-143) + (-22)\/312)*x. Which is the closest to 8? (a) 4 (b) -0.2 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 - 12. Suppose -h*b + 14 = -b. Suppose v = b + 33. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.4 + 1.6. Let k = g + -2. Let w = 0.004 + k. What is w rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.29924866 + -41?\nAnswer: -43.29924866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, s: 4, u: 1}. Give prob of picking 3 s.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -985.9 and 13044.\nAnswer: 12058.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4364 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 93370 divided by -18674?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i + 1. Let u be k(-3). Suppose 403 + 16341 = 909*p - 15071. Solve 0*a + u*a = -p for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-17)\/(w*w**(-8)*w*w*w*w))\/((w**(6\/13)\/w)\/(w*(w*w**(-5\/4))\/w)))**(4\/13) assuming w is positive.\nAnswer: w**(-713\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 > -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1534*m**3 + 1130 wrt m.\nAnswer: 4602*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:43 PM and 3:21 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1.36323948337 + 20\nAnswer: 21.36323948337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -15*y + 11. Let l(q) = -2*q + 9. Let f be l(4). Suppose h - f = -14. Let s(p) = 7*p - 5. What is h*s(j) - 6*u(j)?\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546909 is divided by 13339?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/1050*(-42)\/(-30)*1?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -80641.\nAnswer: -80641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 294 + 29*s**4 - 294 + 0*s**4 + 4*s**4 - 3*s**4 - s**4 - s**4 + s**4 + (-s**2 + 2*s**2 + s**2)*(0*s**2 + 4*s**2 - 3*s**2).\nAnswer: 31*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - 8) + 22 - ((-3 - -2) + 11).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8 = 10. Calculate the remainder when 3\/l*(4 - -20) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7*c**2 + 4*c - 3*c - 3 + 6*c - 3*c**3 - 3 + 2*c**3. Let r be ((-660)\/16)\/5*4. Let t be (16\/6)\/(11\/r). Calculate l(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.9, 2, 1\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 4:52 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.159 + -0.141. Let z(y) = y**3 - 11*y**2 + 2*y - 16. Let h be z(11). Let d be (h\/26)\/(3\/2). Which is the biggest value? (a) d (b) w (c) -0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 + 2)*(-x - 4*x + 4*x) - x - 3*x + 5*x + (-1 + 2 + 0)*(x - 1 + 1).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 98173*i**2 + i. Let k(q) = q. What is k(n(a))?\nAnswer: 98173*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*x**5 + 0*x**5 + 7*x**5 + (-2*x**4 - 2*x**4 + x**4)*(-x + x + 2*x) - 2*x**2 + 2*x**2 - x**5 + 0 + 4*x**5 + 0.\nAnswer: 13*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -5 (b) -0.4 (c) 868 (d) -1\/3 (e) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 61 + 139. What is z rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-14 + 111 + 80)*(-6*v + 4*v + 0*v) + v - v - 2*v - v + 0*v + 3*v)*(v - v - v)*(-2*v**2 + 0 + 0).\nAnswer: -708*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/4 and 0 + -4 - 60\/140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202110021021021102 + 0?\nAnswer: 2202110021021021102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -318 - -321. Solve 4*k - 28 = -3*z, p*z - 20 = -z - k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -437, -439, -445, -455, -469?\n\"Answer: -2*s**2 + 4*s - 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26464)\/(-138936))\/(((-24)\/(-70))\/((-2)\/(-20))).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2871196453 rounded to 2 dps?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1.959 - 478\nAnswer: -479.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 432 - 841 - 5*q**2 - 238.\nAnswer: -5*q**2 - 647","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 695182254 and 2418?\nAnswer: 2418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-14))\/(1\/2*10\/(-105)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.017 in -2\/15, 1\/6, -5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -33. Let v = -5 + y. Sort -3, -5, v.\nAnswer: -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -4*z - 1. Calculate g(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -95098717*v**3 + 2139*v**2 - 3*v - 491 wrt v.\nAnswer: -570592302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001667138 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2159*d**2\/2 + 9434831*d + 8740.\nAnswer: (d + 8740)*(2159*d + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -k*p**2*q + k*p**2 + k*p - 3*k*q**2 - 5*k*q - 28289*p**2*q**2 + 592*p + 2*q**2 - q wrt q.\nAnswer: -6*k - 56578*p**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f. Let x(v) = -969964*v**2 + 2*v + 1. Calculate x(n(l)).\nAnswer: -3879856*l**2 - 4*l + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 147*i**3 - 625*i**3 + 418*i**3 + 290*i**3 + 107*i**3.\nAnswer: 337*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -291, -297, -315, -351, -411?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 4*a = 0, 2*j + 7*a + 1 = 2*a. Suppose 3 = -j*k + 5*k. Calculate the remainder when ((-9)\/(-3) - 1)*1 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2708043\/164126 - -18\/82063. Determine a so that -31\/2*a**3 - 4 + a + 9\/2*a**5 - 5\/2*a**4 + p*a**2 = 0.\nAnswer: -2, -4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0.2, -157, 2306?\nAnswer: 2306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkykqkkvvvkkkyvv. What is prob of picking 1 y and 1 q?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -4*z - 2*u - 9, -4*u = -8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -5*f**2 + 4*f + 4. Let b(g) = 4*g**2 - 3*g - 3. Let x(q) = 4*b(q) + 3*i(q). Let r(n) = 38*n - 17*n - 16*n. Calculate r(x(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -94. What are the prime factors of y?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -4*v - 23*v**3 - 28*v**3 + 6*v**2 - 30*v**3 + 80*v**3. Suppose -4*n = 5*g - 24, -6*g + 2*g = -5*n - 11. Suppose -q + n = -4. Give s(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2196*a**4 - 15568*a**3 + 15568*a**3 + (-3*a**2 + 3*a**2 + 2*a**2)*(2*a**2 - 2*a**2 - a**2) + 1 - 1 + a**4.\nAnswer: -2197*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/(-4)*94\/2115*-27)\/15?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 241310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 57 and 91278083?\nAnswer: 91278026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.1 - -1.3. Which is the nearest to y? (a) -3\/2 (b) 1\/7 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7 - aca38?\nAnswer: -aca31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c + 0?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.035*-6501\nAnswer: 227.535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.848139 rounded to one decimal place?\nAnswer: 8.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + -5)*1\/(-1). Let j be (-1101)\/54 + (-13)\/(-39). Let b = 121\/6 + j. Put b, -0.3, a in ascending order.\nAnswer: -0.3, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.6 + 0.1. What is the third smallest value in x, -3, -4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 171760 and 19760.\nAnswer: 2232880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4938559 is divided by 167.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 240531 + 11342?\nAnswer: 252313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 228538?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2160)\/(-55) + (-6566)\/5159?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 j when two letters picked without replacement from dwdttwdwvvjjtm.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -453, -464, -475, -486?\n\"Answer: -11*y - 442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 419753914 to the nearest integer?\nAnswer: 749","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -33*t**4 + 902?\nAnswer: -132*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -952*c**4 - 283 - 136*c**4 - 1712*c**4 wrt c.\nAnswer: -11200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**(12\/5)*j)*j*j))\/j)\/j*j*j**(-2\/27)\/j*j assuming j is positive.\nAnswer: j**(44\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/65? (a) 2\/17 (b) -0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -3*f + 6. Let o be (87\/6 - -1)*16\/4. Let x = o - 52. What is the remainder when f is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 9 = -2*x - 3*x, -o - 2 = -2*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 5*f**2 + 11)*(2*f - 2*f - f**3).\nAnswer: -5*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 15*o**3 - 153*o**2 - 957*o - 1447. Let u(q) = -52*q**3 + 458*q**2 + 2871*q + 4340. Let a(b) = -7*r(b) - 2*u(b). Factor a(h).\nAnswer: -(h - 161)*(h + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**18)**3*(w*w**(-13\/2)\/w*w)\/w*(w**(-1\/32)*w)\/w assuming w is positive.\nAnswer: w**(1519\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 5*h**2 - 9*h - 3. Let u be j(-7). Let r be (2 - u\/(-1))\/(-2). Calculate the greatest common factor of r and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 445 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-189)\/(-117) + (-20)\/130?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 0, 0*i - 3*i - 28*m - 22*m - 14 + 2 = -55*m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + 3. Let n be u(4). Suppose 5*f + 364 = 18*f. What is the greatest common divisor of n and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 4. Let s be f(4). Let u be 1 - 2 - (-4 - s). Suppose -u*a = 2*a - 3000000. What is a rounded to the nearest 1000000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i. Let k = -12 - -17. Suppose i = k*j - 2*j. Let q(z) = z - 4. Give q(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1898 + 1?\nAnswer: 1899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -8*u**3 + 20*u. Let x(l) be the third derivative of l**4\/24 + 254*l**2. Give -t(d) + 20*x(d).\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 7:04 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 9:23 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 42*m**2 - 3*m + 1. Let c be ((-2)\/(-3))\/1 + 2\/6. Let l be o(c). What is l rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 (base 16) in base 7?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -191898 times -0.75?\nAnswer: 143923.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1774 + 1?\nAnswer: 1775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 13*y + 2. Let v be s(2). Suppose -v = -4*d + 24. Suppose -d = -f - 6. Solve 5*l + 5*t - 15 = 0, -l = -0*l + 5*t - f for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 308 + 552 = -53*b - 33*b for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 3, 431, 0, -4, -9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415469.\nAnswer: 415469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3118050?\nAnswer: 2, 3, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)\/sqrt(36))\/sqrt(2))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2395 = 2*q. Suppose -4*k + 103 = q. Let i be k\/(-18) + (-4)\/18. Solve 3 - i = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6327*j + 969570 = -5085*j - 5598*j for j.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.7 - 6.3. Let z = t + 8.3. Let b = -3.9 - -4. What is the third biggest value in 0, b, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002243 rounded to 4 decimal places?\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(6*sqrt(1100)*-1 - (-4 + -2*sqrt(1100)))*-6)**2.\nAnswer: -103680*sqrt(11) + 5707584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 27 + 87 = 0. Suppose -10*o + 19 = -5*o - 3*y, -o + 11 = 3*y. Suppose -26 - 24 = -o*g. What is the remainder when w is divided by g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25 + 35. Does 5 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*j + 190257 = 0, -30303 = -3*q - 2*j + 159954. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.05, -2, -0.1, -8?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (127 - 1967 + 3762 + 3056 - 2*p)*(-p**2 + 2*p**2 + 3*p**2).\nAnswer: -8*p**3 + 19912*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*s - 8, -x - 2*s + 6 + 1 = 0. Which is the closest to -1? (a) -4 (b) 1 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2 + 5*t + 1. Let i(f) = -3*f**2 + 10*f + 4. Let g(m) = -3*i(m) + 7*w(m). Let u be g(3). Is u less than -33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - 9. Let r be 5*(n + (3 - 5)). Suppose -4*y = -r - 3. Solve y*l = l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 118 + -285 + 198 + (-44 - -1).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -62900, -34, 0 in increasing order.\nAnswer: -62900, -34, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11310 - -13?\nAnswer: -11231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -4*k - 0 - 3, 3*k - 5*y = 2. Let m = k + 3. Solve -5*j = 3*c - 4 + m, 2*c = -4*j for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of 1018*j**5 - 1717*j**2\/2 - 1382. Find the second derivative of y(w) wrt w.\nAnswer: 61080*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -10*n - 7 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6716.9682697 and 0.326.\nAnswer: 6717.2942697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 50.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-153)\/(-27) + -3 + 6\/(-2). Sort -7\/9, 3, a, -0.5 in decreasing order.\nAnswer: 3, a, -0.5, -7\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 5229 (b) 0.4 (c) -13 (d) 0 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*f = 127*f - 400. What is the highest common divisor of f and 1160?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -4. Let v(h) = -2*h + 5. Let s be v(0). Find the third derivative of -16*q**s - q**2 + 20*q**n + 14*q**2 wrt q.\nAnswer: 240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes before 3:53 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*j = -8*j - 38, 5*z - 5*j = 170. Is 32 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -4.8. Let b = 113 - 20. Let f = b - 93.5. Sort q, f, 0 in increasing order.\nAnswer: f, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - b + 13, b = t + 2*b - 3 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1629*n - 1165*n - 33408 for n.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 3*q + q)*(11*q - 11*q - 3*q**3) + (2 - 1 - 2)*(17*q**4 + 26*q**4 - q**4) as j*q**3 + m*q**4 + b*q + a + r*q**2 and give m.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94731 + -94728. Let d = 9 + 9. Solve s*p = -3*o - d, 5*p + 2*o + 28 = 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*k - 2910869*k**2 + 2910873*k**2 - k**3 + 5 - 6 to the form h + s*k**2 + m*k + n*k**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1291239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 0*r**2 + 2\/3*r**3 - 115 + 39*r. Let t(p) = -2*p**2. Calculate i(t(s)).\nAnswer: 8*s**4 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 359, -1, -16, 8, -6, 0 in descending order.\nAnswer: 359, 8, 0, -1, -6, -10, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, -2081 in ascending order.\nAnswer: -2081, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 + 9*x**2 - 12*x + 2. Suppose -5*p + 2*v - 29 = 0, -12 + 32 = -2*p + 5*v. Let y be q(p). Are y and 36 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -2639\nAnswer: 1\/2639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 224830691 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26 - 8 - (4 - 5) - 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, c: 2, t: 4}. Give prob of sequence tttc.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 5*h - 30, -3*v + 0*h - 4*h = -10. Let c be (0*(-3)\/9)\/(4 + v). Suppose c*k = -2*k + 250. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 21 + 15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.5 + -10. Let j = 6 + x. Let z = 3.01 - 0.01. What is the third biggest value in 5, j, z?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f - 2. Let n be q(2). Suppose -5*t + 37 + 8 = 0. Calculate the remainder when (-322)\/(-10) + n\/20 is divided by t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 9) to base 14\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 8*j**2 + 8*j - 5. Let w be (3 - 2)*7 + 0. Let g be p(w). What is the remainder when 224\/4 + g\/(-1) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -812 + -1058. Let b = r - -2666. What are the prime factors of b?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (((-9)\/15)\/(-1))\/(2\/10). Let j be -1*13*(-3)\/h. What is the greatest common factor of j and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 648565359?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j + 8. Let g be w(-2). Suppose u - 7 = 5*d, 3*u = 2*u + 2*d + g. Suppose 6 = u*x, 3*x + 2820 = 5*v - 416. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/((-54)\/4))\/(1672\/(-456))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1975 from 0.5423173305.\nAnswer: 0.7398173305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 21835017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147 - 146. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1786)\/(-342) + ((-4)\/9)\/2. Which is the closest to 3? (a) f (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39375 + 5?\nAnswer: -39370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 + 13*y**2 + 83*y + 2. Determine q(-5).\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -29 + 9?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 3. Suppose 2*s = 6, 0 = -5*n - 4*s + s + 14. Which is the smallest value? (a) n (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-72)\/(-15) + -3 + -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.2 (b) 22 (c) 2\/133 (d) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/90 - (-1)\/3. Suppose 0*v - v + 2 = 0. Determine m, given that 2\/5*m + p*m**v - 4\/5 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*c + 215, c = -0*f - 5*f + 102. Let r = c - 50. Suppose 4*x - 65 - 11 = -i, -r = -3*x - 2*i. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**2 + 2*b**2 - 4*b**2 + 6*b = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 1\/2*c**2 - 3*c + 1\/6*c**3 + 0 + 1\/20*c**5 - 1\/2*c**4. Calculate the remainder when 12 is divided by p(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -202, -317, -442, -577?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 2:50 AM?\nAnswer: 9:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 1. Let z(p) = -3*p**2 + 9*p + 6. Let l(t) = -4*v(t) - z(t). Suppose 2 = 4*s - 46. Calculate the smallest common multiple of s and l(-7).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*w - 296 - 64. What is the closest to w in -0.3, -2\/7, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1340 and 5495?\nAnswer: 1472660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v - v + 1 + v. Let s = -148 + 151. Calculate a(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(119) + (sqrt(119) - -3*sqrt(119)*-1))\/sqrt(7).\nAnswer: -sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/78 - 1507\/330.\nAnswer: -17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2050 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1456 (base 10) in base 13?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klhmhlbmmzhmhzl. Give prob of picking 2 m and 1 h.\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255 = -9*y - 507 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/600 and 17\/1600?\nAnswer: 4800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -9*z**3 - 4*z**2 - 3926*z - 3923. Determine v(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(0 + -4 + sqrt(1584)*2))**2.\nAnswer: -3072*sqrt(11) + 101632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 + 2*q**2 + q + 13*q**2 + 2 - 14*q**2. Give c(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*w + 13 = 0, b - 39*w - 3 = -38*w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 134.016756 * 4\nAnswer: 536.067024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 61. Suppose -12 = p*d - 39*d. Suppose -2*y - d = 2*y. What is the second smallest value in 0, -0.09, y?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/382329 and -121\/179262?\nAnswer: 331096914","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1142 is divided by 290?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + -0.7. Let w = -4 + v. Which is the nearest to -6? (a) 0.4 (b) 4 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1842 and -0.5?\nAnswer: 0.0921","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**5\/20 + c**4\/4 + c**3\/2 - 11*c**2\/2 - 16*c + 4. Calculate u(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3639)\/404 - (121 + -130))*(7 - 290\/30).\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.9 - -10.9. Let r = 4 - w. Let f = -5 - -8. What is the second smallest value in 0, f, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -2)\/(6\/8). Suppose 8 = 8*x - j*x. Suppose 3*d - x*d = 28. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/(-15))\/(4\/(-72)). Suppose 21*y - p*y - 30 = 0. Calculate the smallest common multiple of 5 and (-4 - -1)*(-1 + y\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.1 - -3.1. Which is the biggest value? (a) -1\/9 (b) z (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2156 - 2133.4. Put 2\/11, q, 3, -6\/11 in ascending order.\nAnswer: -6\/11, 2\/11, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*k + k - 3*k)*(32 + 2*k - 32 + (-4 + 4 + 3)*(0 - 2*k + 0)) to the form o + t*k**2 + b*k and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 - 0.2. Let u(n) = -334*n**2 - n - 1. Let v be u(1). Let r = -3357\/10 - v. Are r and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -78?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-1) + -7 - 1. Suppose s*x - 24852 = 41763. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4*-2 + -74. Let i = h + 51. Let r = i + 37. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231\/12 - 3542\/(-1288)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -7*i**3 - 28*i**2 + 2*i. Let c(x) = -3*x**3 - x. Let y(z) = 2*c(z) + n(z). Find the third derivative of y(j) wrt j.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -50 + 18 - (-75 + 28)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 202\/16 + (-21)\/72 + 14\/21?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-1\/13)*p*p**(-6))**27 assuming p is positive.\nAnswer: p**(-1431\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n**2 + 21*n - 267. Let q(j) = 4*j**2 + 10*j - 133. Let d(h) = -5*q(h) + 3*r(h). What is the units digit of d(18)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*v**2 - 40*v**2 - 45*v**2.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 217*(1551\/77 + -20). Solve -34*v + r - 9 = -o*v, 0 = -v - r - 3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.17 + 3.17. What is the nearest to 2 in -5, 0.5, -3, k?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 322.7 + -317.7. Which is the fourth smallest value? (a) -0.3 (b) r (c) -1 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 2*v**2 - 30*v - 16. Let i = 53 - 36. Let x be g(i). Let f(q) = -88*q + 42*q + x*q. Let m(d) = d. What is f(m(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12029225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -14.14773 to 1 decimal place.\nAnswer: -14.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 16) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 3*t - 1. What is the tens digit of -2 + 3 + 32 + t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/16*4\/(7 + -3). Let y = -163\/40 + t. Find the common denominator of y and -107\/130.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.085 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 3 - -1) + -1 - -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19695 - 19694.5. Put 2\/15, -4, -1\/7, s, 6 in ascending order.\nAnswer: -4, -1\/7, 2\/15, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2623638331?\nAnswer: 20323, 129097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -6092 times 39.3\nAnswer: -239415.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 43216339 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 18 = -12*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.4 - 1.9. Let l = 0.5 + -0.2. Let j = -0.2 + l. Which is the closest to j? (a) f (b) 5 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*i = -16*i - 4 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -9, 2\/21, 5, 3105\/14, -2?\nAnswer: 3105\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-354)\/531 + (-2)\/(-12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v - 17. Let w be n(-14). Suppose j = 4*z - w, 4*z - 3*j + 0 = 1. Is 6 a factor of -1*(-3 + z) - -29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*l**5 - 1775*l**4\/2 + 5965*l**3\/2 - 730*l**2 - 3670*l + 920 = 0. What is l?\nAnswer: -92, -1, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -316 + 572. Let p = 253 - o. Sort -24, p, 1.\nAnswer: -24, p, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 352 is divided by 71.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 19 = f - r, 0 = 3*f - r - 9. Let o = -3 - -1. Let s = -2.1 - o. Which is the closest to s? (a) 5\/2 (b) f (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.958 - 0.042. What is the biggest value in -5, p, 1\/7, 2\/21?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11306206 - -141?\nAnswer: -11306035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x**4 + 1\/210*x**7 + 0*x + 2*x**2 + 0 + 0*x**6 + 0*x**5 + 0*x**3. Factor t(r).\nAnswer: r**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 4*i - 12. Solve 3*f = 0, -t = i*f - f - 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 6 + (-9 - (-2 + -5)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.75679nm in kilometers?\nAnswer: 0.00000000000775679","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -11*u**2 - 41*u - 26. Let v be d(-8). Let s = v + 420. Solve 4*l + k + s = 0, -4*l - 12 = -3*k + k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 0.1 (b) 0.6 (c) 2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/62769 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 13*u - 5. Let b(i) = 3*i**2 + 21*i - 9. Determine 3*b(n) - 5*h(n).\nAnswer: 4*n**2 - 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1709220?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49315091?\nAnswer: 7, 59, 97, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -2.6. Let i = 1076 - 1080. Put t, -2\/11, i in decreasing order.\nAnswer: -2\/11, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, 7, 0.12, 3, -1, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 18*b**3 + 5*b**2 + 5*b + 2. Let d(q) = 9*q**3 + 3*q**2 + 3*q + 1. Let j(k) = -5*d(k) + 3*g(k). Find the first derivative of j(r) wrt r.\nAnswer: 27*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - 5*l**2 - 5*l - 27. Let m be x(-5). Let t = -17 - -13. Sort m, -1, t.\nAnswer: t, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181.2962 to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3484065?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1235 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 11*z + 4. Let k = 403 + -402. Let x(y) = -2*y - 1. Let f(r) = k*w(r) + 4*x(r). Let t(s) = 10*s. Determine t(f(b)).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -51150*j**4 + 2158*j**2 + 871492864*j?\nAnswer: -613800*j**2 + 4316","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 46*c**3*m*q**2 + 2*c**3*m*q + 18*c**3*m - 8*c*m*q**2 wrt q?\nAnswer: 92*c**3*m - 16*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n + 3. Let y(z) = -5*z + 4. Let b(l) = -4*v(l) + 3*y(l). Let j be b(4). Are j and 19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 + 176 + 23*f - 21*f - 546.\nAnswer: 2*f - 337","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -271, 1\/12, -3.7 in descending order.\nAnswer: 3, 1\/12, -3.7, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.17 - 0.13. Put -5, 5, w, 2\/13 in descending order.\nAnswer: 5, 2\/13, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 48?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 9*l**2 + 4*l. Let i(g) = g**2 + g. Let j(x) = -4*i(x) + y(x). Let o(p) = p**2 - 3*p**2 + 2*p**2 - 2*p**2. Determine j(o(k)).\nAnswer: 20*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 533*f + 528*f - 19 - 1045*f - f**2. Determine g(17).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(80)\/sqrt(4)).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3654782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4 + 34*v**3 + 2 - 3*v**2 - 30*v**3. Let c(p) = 5*p**3 - 4*p**2 - 3. Determine -2*c(l) + 3*n(l).\nAnswer: 2*l**3 - l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 4736*t + 2007390.\nAnswer: 2*(t - 1815)*(t - 553)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**7\/21 - r**4\/4 - 2*r + 3. Let a(l) be the first derivative of s(l). Find the third derivative of a(k) wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -0.177, -0.3, -3\/8, -1084?\nAnswer: -0.177","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -6*y - 11. Let l(t) = 1. Let j(h) = i(h) + 2*l(h). Differentiate j(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + 20303?\nAnswer: 20230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p + 3*p**3)*(-2*p + 2*p - 3*p) + 2*p**4 - 8*p**2 + 12*p**2 - 7*p**2.\nAnswer: -7*p**4 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/859684 and 39\/8811761?\nAnswer: 35247044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -16 + 41 + -23 - -30. Suppose -4*n + 4*j + 114 = -62, -n - 5*j = -20. Calculate the greatest common factor of a and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/126 + (-314)\/(-36) + -6.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 24.435963 months?\nAnswer: 0.203633025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/6*11\/44?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**1\/c)\/c*c**(-1\/5)\/c)**(-4\/21) assuming c is positive.\nAnswer: c**(44\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 - 6517a?\nAnswer: -65163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2308254749.\nAnswer: 43, 173, 310291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-4))\/(4\/((-128)\/(-24)))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10065 + 9888. Sort 5, q, -1, 1 in descending order.\nAnswer: 5, 1, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -5*h**2 - 2717*h + 83175. What is g(29)?\nAnswer: 177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5858.2 + 5862. Sort 2, 0.3, 0, a.\nAnswer: 0, 0.3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/12)\/(8\/72).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 4*j - 3. Let a be q(3). Suppose r - 3 = 1. Suppose 120 = r*m - a*m. Is m a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14d86 (base 16) to base 10\nAnswer: -85382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -5126234 and -5126234 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 12 = -2*j, -6 = -r - j + 2. Suppose 267036*i**2 - 6*i**3 + 2*i**r - 267046*i**2 + 3 + 6*i + 5 = 0. What is i?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13426*w**4 - w + 3*w**3 + 4*w**3 - 13442*w**4 as k + l*w**2 + o*w**3 + g*w + u*w**4 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 150947253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 19661.381 rounded to the nearest 100?\nAnswer: 19700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4480334943 - 29.37.\nAnswer: -4480334972.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 254, 5, 85, -4, 4, -3 in descending order.\nAnswer: 254, 85, 5, 4, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -303, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**12*l*l**(3\/7)\/l)**(-11\/3) assuming l is positive.\nAnswer: l**(-319\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - -3c6?\nAnswer: 3c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/20 and (-44)\/15*((-41)\/8 + 1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 5*j + 23 = -12, 3*j = -2*t - 19. Let l be (-105)\/(-20) - t\/(-8). Suppose 154 = 2*a - 5*b, -l*a - 32 + 417 = 3*b. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -871209 divided by -369.\nAnswer: 2361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + 132\/(-10))\/(2\/(-5)). Suppose 46*u = 47*u + m. Let c = 6 - u. What are the prime factors of c?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35303 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**2. Let y(r) = -r**2 - 6*r. Let q(l) = 5*l. Let j(i) = 6*q(i) + 5*y(i). Determine j(n(u)).\nAnswer: -20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 2. Let i(g) = g**2 + g. Let u be i(1). Let s be u + (0 + -4 - -2). List the prime factors of b(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1102222 (base 3) to base 9\nAnswer: 1388","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 137907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -400?\nAnswer: 1600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q + 20. Let f(y) = -5*y + 20. Let u(m) = 5*f(m) - 4*o(m). Let d be u(20). Let k(s) = s**2 + s - 10. Give k(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -576, -4659, -15740, -37317, -72888?\n\"Answer: -583*m**3 - m**2 + m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6158631, -12317238, -18475845, -24634452?\nAnswer: -30793059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 117 and 14196.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249 - 1675 = -26*o. What is the remainder when 144 is divided by o?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n - 8*n + n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 - 11*w**2 - 3*w**4 + 9*w**2 + 8*w**3 to the form n*w + p*w**4 + g*w**3 + z + x*w**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-6))\/((-6)\/117*1). Let d = -17 - i. Calculate the remainder when 9\/((-81)\/(-578)) - 2\/d is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6909110.\nAnswer: 2, 5, 13, 53147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -290 + 276.7. Round s to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and (6*-1)\/((-196)\/10290).\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13277 (base 11) to base 15\nAnswer: -5940","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41\/19 + -350\/171. Let l = -1\/92 + 59\/1196. Let v = -7\/13 + l. Which is smaller: v or m?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 401278010*n**3 - 9896644*n**2 - 6*n?\nAnswer: 2407668060","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 44\/55 - 116\/170. Let t(z) = -z**2 - z - 1. Let p be t(-1). Is p greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 13*k - 7. Suppose -4*i - 10 + 30 = 0. Suppose k*o + 115 = i*p + 4*o, 2*p - 46 = 5*o. Calculate the greatest common divisor of 46 and p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12469633 (base 10) to base 12\nAnswer: -4214281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 90 (b) 349\/2 (c) -1\/6 (d) -0.163\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 + 46 = -38*x. Let f = 345 + x. Does 21 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -23*q - 41. Let b be y(-2). What is the second derivative of 5*n**b - 35*n - 34*n + 0*n**4 + 3*n**4 wrt n?\nAnswer: 100*n**3 + 36*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b = 2*b + 100. Suppose 0 = 5*t - b, 3*h + 34 = 4*h - t. What are the prime factors of h?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1419780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16441, -16449, -16459, -16471, -16485?\nAnswer: -16501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4751012714 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3003 = 216*x - 489*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 116 (base 10) to base 6.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -139, -138, -137?\nAnswer: -136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 334316340?\nAnswer: 2, 3, 5, 1857313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -635 - 249 = 100*c + 16 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-11 + 5 + (5 - 0)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -18*q**2 + 3445*q - 20589. Give z(6).\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x**2 + 7*x**2 - 4*x**2)*(-245*x**2 + 122*x**2 + 111*x**2).\nAnswer: -144*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -28*d - 7498. Let f = d - -330. Solve -f = -4*q - 5*n, 8*n - 8 = -3*q + 3*n for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 7*g - 3. Let n(q) = 9*q - 4. Let j(l) = -6*n(l) + 7*o(l). Let h(k) = -16*k + 10. What is 2*h(a) - 7*j(a)?\nAnswer: 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27 and 2559?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -25*g + 175 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -2*m + 5*m - m + 3*z, -63356 = 4*m - 3*z - 63505 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**2. Let f be 17\/8 + (-8 - -6). Let k(p) be the third derivative of 0*p**3 + 0 + f*p**4 + 0*p + p**2. Calculate h(k(o)).\nAnswer: 18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i*(i**(5\/2)*i)\/i*i*i**(-4)*i*(i\/(i*i\/(i\/(i*i**2)*i)))**35*(i**(-2)*i**(-3))\/(i**0)**24 assuming i is positive.\nAnswer: i**(-147\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*(-16)\/(-720)*9)\/(2\/400).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qlswqlqwlqlllllq. What is prob of picking 2 q?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6522908 months in centuries?\nAnswer: 0.001376909","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 11:35 AM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven quarters of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*m + 42*m - 18*m + 3*m - 2 + 2 + (2*m - 5*m + 2*m)*(-2 + 1 + 0))*(-4 + 2 - 1).\nAnswer: -225*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opokookkoooemgoooopo. What is prob of picking 3 k?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-21))\/(2*3\/(-9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - 1*1\/(-3). Let h = -0.988 - 0.012. What is the smallest value in 5, s, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-16 + 6 - -2 - 0)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 436*s**5\/7 + 1964*s**4\/7 - 652*s**3\/7 - 6332*s**2\/7 + 4584*s\/7 = 0.\nAnswer: -382\/109, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 169, 337, 505, 673?\n\"Answer: 168*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -8*m**2 + 6*m - 6. Let t(u) = 5*u**2 - 7*u + 4. Let j(p) = -2*a(p) - 3*t(p). Let r(x) = -x**3 + 16*x**2 - 8*x - 113. Let b be r(15). Give j(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 26 = -4*k. Let s = k - -46. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 25*n - 1. Let z be u(1). Suppose d = -3*d + z. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 divided by -2886295\nAnswer: 6\/2886295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2*f)**(6\/23)*(f*((f\/f**(-5))\/f)\/f)**12 assuming f is positive.\nAnswer: f**(1398\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50584576 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: What is -1078.328 rounded to the nearest integer?\nAnswer: -1078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/3 - 3244*w\/3 = 0.\nAnswer: -3244, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 45 = 4*o, 0 = 3*b + 13769*o - 13765*o + 31 - 4 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001971214 rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 16 = -2*x. Suppose x*k - 19*k + 6 = 0. Find the third derivative of -k + 5*j**4 - 4*j**2 + 2 wrt j.\nAnswer: 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32661 + -27441. What is the hundreds digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -228.\nAnswer: -456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of 0*n - 1\/24*n**4 + 0 + 11*n**2 + 7\/6*n**3. Suppose -3*u = -5*k + 20, -2*k = k - u - 16. What is m(k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -196\/5 in 2\/23, -2\/3, 0, 2\/17, 0.66?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-525)\/63)\/((8\/(-8))\/((-6)\/(-2))).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -22*k**2 - 4*k - 63. Let v(p) = p**2 - 2*p - 1. Let n(h) = o(h) - 3*v(h). What is the first derivative of n(g) wrt g?\nAnswer: -50*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119*t = -16*t - 1236 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + 2. Suppose 5*q - 18 = -u, -b*q - 3*u + 2 = -2*q. What is the smallest common multiple of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 3555143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10658 + 1978 = 248*c for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5999 divided by -1634.\nAnswer: 5999\/1634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6 + 19 = 0. Let t(d) = d + 7. What are the prime factors of t(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 0*r**2 + 2*r**2 + 2 - r**2 to the form x + p*r**2 + l*r and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 smaller than 143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 2528 + 5568 = 0. What are the prime factors of y?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -6, -8, 2, 19 in decreasing order.\nAnswer: 19, 4, 2, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**3 - 6*f**2 + 4*f + 8. Let y be 2 - 3\/(-6)*4. What is the units digit of c(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52278, 104681, 157084, 209487, 261890?\nAnswer: 314293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0.4. Let l = h - 0.1. Let y = 0 - l. Put 0.5, 2, y in descending order.\nAnswer: 2, 0.5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1100020 - 121202?\nAnswer: -1221222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -357, 2, -1 in decreasing order.\nAnswer: 2, -1, -4, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 6) in base 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37*n**6 + 138*n**4 + 8*n**3 + 3789271*n**2 - 4*n wrt n?\nAnswer: 4440*n**3 + 3312*n + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 17308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 131 + (2 - (1 + 0)). Let i be g\/28 + (-4)\/(-14). Let j(f) = f - 5 + i. What is j(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 477443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10033*i. Let o(s) = -76*s. What is 395*o(p) - 3*t(p)?\nAnswer: 79*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/6*(1 - 4). Let u(n) = 2*n + 3. Suppose 0 = -d + 2, 12 = 2*j + 3*d + d. Let k(t) = -4 - 4*t - j*t**2 + 3*t**2 + t. Calculate p*u(v) - 3*k(v).\nAnswer: -3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*x + 46 + 62 = 0. Suppose -16 = -x*b + 56. What is the highest common divisor of 132 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6022558*a**3 - 3011301*a**3 - 3011293*a**3.\nAnswer: -36*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20*5\/10)\/((-4)\/122). Let p = -475 - -281. Let b = p - v. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-6) + (-100)\/(-15). Let r(i) = -2*i**2 - 3*i. Let m(j) = 3*j**2 + 5*j. Determine q*m(z) + 10*r(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -39 - (-85 + 36 + 1)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, m: 17}. Give prob of sequence mum.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of b**6\/60 + 11*b**5\/60 + 25*b**4\/24 + 5*b**3\/3 + 3*b**2 + 269*b + 2. Determine a(-4).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 440534 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: Let g(u) = u**3 - 3*u**2 - 69*u + 3. What is the tens digit of g(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27 - o**2 + 27 to u*o + b*o**2 + x and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19631311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 1) + 6 + -6 + (-1 - -4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1421, 1439, 1471, 1523, 1601, 1711?\nAnswer: 1859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 65 = 4*m. Let h = -5 - m. What is the smallest value in -1.3, 3, h, 1\/2?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a factor of 7239?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1878156 by -1028.\nAnswer: -1827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -68, -95, 4, 289, 820, 1657?\n\"Answer: 10*x**3 + 3*x**2 - 106*x + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1362761 (base 10) to base 8\nAnswer: 5145511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/(-3))\/(68 - 69). Suppose -f + 1 = -3. Let p be 5\/f*6\/15. Which is the closest to 2? (a) 4 (b) p (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2506 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (44142\/1470 - 30)\/((-7)\/10)?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 156014*v - 14. Let i be y(1). Round i to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**2 + 906*m - 13996. Give s(16).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 66, 255, 568, 1005, 1566, 2251, 3060?\n\"Answer: 62*k**2 + 3*k + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5332 (base 7) to base 2\nAnswer: -11101011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/2935444 and -101\/127628.\nAnswer: 2935444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 58*o + 175. Calculate m(-61).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = g - 5*i, 0 = g - i - 11 + 2. Let p = g - 13. Calculate the remainder when 1 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -v**3 + 4436066*v**2 + v - 560303199 with respect to v.\nAnswer: -3*v**2 + 8872132*v + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.538 at most as big as -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 4. Suppose -j = 3*f - m - 4, -f = 2*m + 1. Let t be 2\/11*(0 + f). Sort -0.5, t, -2 in descending order.\nAnswer: t, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/10)\/(3\/(-5))*(-12831168)\/128 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 13. Suppose 2*c - g = 3. Suppose -3*u + 5*s = -52 - 73, -s - 195 = -c*u. Is 25 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 14*t**3 - t. Let l be p(1). Solve u - 2*u - 5*s = -7, u = 5*s - l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 2*m**3 + 10*m**2 - 6*m + 46. Let v be l(-4). Let a be (-2602)\/4 + 5\/v. Round a to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001141909 to four dps.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1250*n + 3. Let w be ((-20)\/40)\/((-10)\/4 - -2). Is p(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 1676?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 27*m + 510 = 0. Suppose m*j = 20*j - 131430000. What is j rounded to the nearest 1000000?\nAnswer: 44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 * 152\nAnswer: -121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2669 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14830, -2, -3, -5, 70.\nAnswer: -14830, -5, -3, -2, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5907584 or 5907586?\nAnswer: 5907586","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35289924 divided by 50997.\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3897 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 5*x**3\/3 + 40. Let u(a) = 2*a**2 - 3*a. Let h(f) = 10*f**2 - 14*f. Let q(g) = 3*h(g) - 14*u(g). What is v(q(j))?\nAnswer: 20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57051134.\nAnswer: 2, 7, 269, 15149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**5 - 2195*c**4 - 63765*c**3 - 213705*c**2 + 204390*c + 991440 = 0.\nAnswer: -408, -27, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + 3 + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:43 AM and 8:07 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, -0.04, -1\/6?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23281.\nAnswer: 31, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-13516)\/682 - (-2)\/(-11). Suppose 2*w = c + 39, -4*w - 2*c + 83 = -5*c. Calculate the remainder when w is divided by 0 + 0 + (-13)\/(26\/v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(1 - -2 - (3 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1628, 5632, 12202, 21338, 33040, 47308, 64142?\n\"Answer: 1283*a**2 + 155*a + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8102 + 12882. Calculate the highest common divisor of u and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 119 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*2*sqrt(126)\/sqrt(2)*5)\/((sqrt(729) - -2*sqrt(729))*6*6) + -2.\nAnswer: -2 - 25*sqrt(7)\/486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3388590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:29 PM and 3:41 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**2*w**(-5\/3))\/(w**(-2\/5))**(-34) assuming w is positive.\nAnswer: w**(-199\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 6*j**2 + 10*j - 6. Is l(-8) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -832881 - 125?\nAnswer: -833116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21445.\nAnswer: 5, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sqqqsqs. Give prob of picking 3 s and 1 q.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 162115 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a tonne in kilograms?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*r + 53 + 23, -3*r = 2*x - 52. Suppose 258 = -26*m + x*m. Find the second derivative of -3*j + 5*j**3 - 4*j - m*j**3 wrt j.\nAnswer: -228*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 679 - 182. Calculate the remainder when t is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1089)*-1)\/(sqrt(3) + sqrt(3) + (sqrt(363)*-1 - sqrt(363)) + sqrt(3)))**2 + -3 + -4.\nAnswer: -2164\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -761, 3.\nAnswer: -761, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -17\/317 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 47*l - 6. Let s(w) = 39*w**2 - 6*w - 65. Calculate b(s(v)).\nAnswer: 1833*v**2 - 282*v - 3061","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (((sqrt(17) + -1*sqrt(17))*5 - sqrt(17))**2 + sqrt(17))) + -5.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 80 - 44 - s**2 - 36. Let k be (2 + -2 + 0)\/(-2). Let i(c) = -c + k*c + 0*c. What is n(i(d))?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 118 + -115. Suppose -2 = -2*q + 18. What is the smallest common multiple of q and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/42)\/(2\/4). Let o = 9338 - 9340. What is the nearest to o in -4, 0.4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 122 and 10?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5 + -0.8. Let v be (-18)\/(-63) + (-270)\/14. Let r = v - -17. Which is the nearest to 1\/2? (a) 0.5 (b) w (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/3 + 2*h**3\/3 + 4*h**2\/3 - 8*h\/3.\nAnswer: -h*(h - 2)**2*(h + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d - 7*d + 4*z - 16 = 0, -2*d - z + 9 = 0. Suppose -5*u + 2390 = d*l, -4*l - 2382 = -8*l - u. What are the prime factors of l?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 130.04 - 128. Let z = m - 0.04. Let c = -2.3 + z. Sort c, 3\/4, 1.\nAnswer: c, 3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3801000 rounded to the nearest one hundred thousand?\nAnswer: 3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18440 and 6454.\nAnswer: 129080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 32630067577 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 23 - (0 - 0 - -4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19821738 to the nearest integer?\nAnswer: 4452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/22 in 4\/5, 4, 0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/((-25)\/((-25350)\/(-273)))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -12, 0, -2, -1985 in decreasing order.\nAnswer: 5, 0, -2, -12, -1985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -30 divided by -4487\nAnswer: 30\/4487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2370808101?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132866?\nAnswer: 2, 31, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -220.33 rounded to zero decimal places?\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 418246 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 3*f - 5*u, -4*f + 1052 - 1044 = 4*u for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -288 != -272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 49*d - 9. Let w(u) = 12*u - 2. Determine 2*c(o) - 9*w(o).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 694223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a**3 - 5*a**2 - 5*a + 3. Let j(w) = -6*w + 7. Let b be j(2). Let u(f) = -10*f**3 + 16*f**2 + 16*f - 10. Determine b*u(m) - 16*t(m).\nAnswer: 2*m**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-107)\/(21935\/82)*-5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -1 + (75 - 78).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -102 + 28 + 22 + 26 + c**2 - 6*c + 24. Let d(p) = 8 - 1 + 3 - 11. Calculate 2*d(i) - t(i).\nAnswer: -i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 - 3*m. Let c be s(-4). Let v be c\/6 - (-4)\/6. Suppose 0*i + 3*i - 9 = v. Calculate the remainder when i is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 + 10*b**2 - 12*b - 7. Determine c(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1075230 divided by 59735.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by -94343.\nAnswer: 7\/94343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 418230 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-18))\/((-4)\/16*1).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)\/k*k**8)**(3\/40)*(k\/(k**(-1\/10)\/k)*k*k**7)**(1\/52) assuming k is positive.\nAnswer: k**(23\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 326*c - 295*c + 279 for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**6\/60 - 7*o**5\/15 - o**4\/24 + 23*o**3\/6 - 31*o**2. Let s be a(-14). Suppose -3*j + 23 = -s. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 take away -23274.50201656?\nAnswer: 23230.50201656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 + -0.01. Let u be 22\/(-60) + 11\/22. What is the second biggest value in f, -2\/9, u?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 70 and 4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, n: 6}. What is prob of picking 1 j and 1 n?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 339 + 194 = 0. Calculate the lowest common multiple of r and 65.\nAnswer: 1885","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 14 = -57*k + 285 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(54)*-1)\/sqrt(3))**2 - (sqrt(162) + sqrt(162)*-1 - (sqrt(2) + 3 + 2))**2.\nAnswer: -22*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 850.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/32 of a tonne?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38b (base 14) to base 11.\nAnswer: -597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 13, -1\/4, 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(20\/(-32))\/5.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 4*n**2 + n + 4. Calculate o(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 196\/163 or 1?\nAnswer: 196\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 29 + 6 + 11?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 8*b. What is the second derivative of 0*k + 2*k - 2*k**3 + b*k wrt k?\nAnswer: -12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 265\/4 + -131\/2. Suppose j = 6*j. Suppose -n - n = j. Is n < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjggjjgggigjgggggi. What is prob of sequence jj?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 382391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/9, 1\/917594, 5?\nAnswer: 1\/917594","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 9:39 PM?\nAnswer: 5:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 2*i**2 - i - 2. Let a be j(5). Suppose -8 = 5*c - a. Suppose -3*r + c = 0, -3*m - 3*r - 2*r = -50. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -104546.\nAnswer: 1\/4021","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.032 - 0.078. Let d = z + 0.178. Let r = 0.032 + d. What is the closest to 0 in 6, -2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 127*v - 128*v. Let f(q) = -q**2 - 5*q - 3. Let u be f(-2). Suppose -n + u*n = 4. Solve -v*y - n = -y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40 + 19 + -7 - -9\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 76533, 2, 4, -1\/7 in descending order.\nAnswer: 76533, 4, 2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122445 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4087, -8374, -12849, -17518, -22387, -27462?\n\"Answer: -g**3 - 88*g**2 - 4016*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**4 - 6*x**4 + 2*x**4)*(-62 + 4*x + 4*x + 59).\nAnswer: -16*x**5 + 6*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13390*z - 13390*z + 3*z**2.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(((144\/(-30))\/12)\/((-8)\/(-5))).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 8*s - 3. Let m be j(-7). Suppose 0 = -5*o + 5*f + 90 + 115, -m = -3*o - 4*f. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-320)\/(-1276) - 24\/348?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 26, 71 in descending order.\nAnswer: 71, 26, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 257, 389, 615, 935, 1349, 1857?\n\"Answer: 47*w**2 - 9*w + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 132 + -48. Let r = 23 + 25. Suppose -3*d = d - r. Calculate the highest common divisor of d and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 (base 6) in base 3?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 + 5*k**3 + 22*k**3 - 3*k**2.\nAnswer: 19*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -41750256 by -4.\nAnswer: 10437564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5388445?\nAnswer: 5, 103, 10463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 26295*y + 15. Let t be m(3). Round t to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 156 + 21 = 7*v, -5*v - 2*b + 132 = 228 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - t - 1)*(2*t**2 - t**3 - 2*t**2)*(-3 + t + t + 1)*(24 + 9 - 11).\nAnswer: 44*t**5 - 44*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -240 (b) 0.5 (c) -4 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b**2 - 5*b - 5. Let d = 36 + -34. Let t(c) = 2*c**2 + 2*c + 2. Let v(w) = d*z(w) + 5*t(w). Let f(h) = 9*h**2. What is v(f(m))?\nAnswer: 162*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15 and 0.3?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 2*i**2 + 4*i. Let g(z) = -z**3 - 5*z**2 + 9*z. Suppose -x - 15 = -4*x. Let d be (5\/15)\/((-9)\/54). Determine d*g(m) + x*n(m).\nAnswer: -3*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -3. Suppose -16 = 2*b - 3*b. Calculate the highest common factor of b and o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 3*t + 76 = 19, 0 = t + 2. Suppose -a = -f - 2*f. Let l be ((-15995)\/(-65))\/7 + 2\/(-13). Calculate the highest common divisor of l and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 x when three letters picked without replacement from {e: 1, k: 5, x: 1, n: 5, w: 7}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2149208 rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 9:07 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 20935087 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 7 + c + 3 + c - 4.\nAnswer: -3*c + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2662) + -5*(sqrt(2662) - (sqrt(2662) + 1*sqrt(2662))) + sqrt(2662)))\/(-3*sqrt(2)*1 + (sqrt(192)\/sqrt(6) - sqrt(32))).\nAnswer: 154*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -15*k**4 - 5*k**3 + 55*k**2 + 50*k - 75. Let v(y) = -22*y**4 - 8*y**3 + 83*y**2 + 74*y - 113. Let h(r) = -7*c(r) + 5*v(r). Factor h(d).\nAnswer: -5*(d - 2)*(d - 1)*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-33)\/((-627)\/2242) - 2. Solve -34*p + 63*p + o = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/7))**1\/(((v**(1\/4)\/v)\/v)\/v)**(5\/11))**8 assuming v is positive.\nAnswer: v**(86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1532 - 1549. Let g = -9.8 + 10. Which is the closest to g? (a) i (b) -1 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300, 472, 634, 780, 904, 1000, 1062?\nAnswer: 1084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*y + 0 + 0 - 28*y.\nAnswer: -62*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the third derivative of 235\/24*h**4 + 0 + h**2 + 0*h + 0*h**3. Is j(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 17*o**2 - o - 15. Let w be x(-17). Suppose 4*p + 139 = 5*p + 3*f, 2*p = w*f + 278. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 19*g - 21*g. Let m = g + 15. Let v(c) = c**2 - c + 4. Give v(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 1)*(y - y - y**2) + 2*y + 13 - 4 + y**2 - 1.\nAnswer: 3*y**2 + 2*y + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 389580.\nAnswer: 2, 3, 5, 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.395 - 0.105. Sort -12, 3\/7, q, 2\/3.\nAnswer: -12, q, 3\/7, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1390.9 + 2315\nAnswer: 3705.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 2, h: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/5 + 26\/5. Suppose f*c + 16 = -3*i + i, 5*i - 6 = -c. Suppose 2*k = -i - 4. Is k greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75546841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (98\/196)\/((2\/(-10))\/((-24)\/(-20)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 14*z = -24*z. Let q(d) = 8*d**2 + d. Let s be q(1). Find the first derivative of z*t - 2*t - 4*t + 28 - s*t wrt t.\nAnswer: -15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1342)\/(-18) - (-72)\/162. Factor -a*k**3 - 48 - 37*k - 240*k**2 + 337*k - 72*k.\nAnswer: -3*(k + 4)*(5*k - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 8 = 2*x. Let n(y) = 4*y**2 - 170*y + 79. Let z be n(42). Let r be ((-6)\/x)\/((20\/(-8))\/z). Solve -r*w - w + 12 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (351\/130)\/(-18*(-15)\/(-225)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.1 - -0.1. Sort -1\/2, -4, s in descending order.\nAnswer: -1\/2, -4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5570157 (base 8) in base 14?\nAnswer: -2b1c19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 16?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-81545)\/(-420) + 8\/84 - (-15)\/(-12) is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 13. Find the third derivative of y**4 - 3*y**w + 0*y**2 - y**2 wrt y.\nAnswer: -48*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.5234 to the nearest ten.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7110584503.\nAnswer: 11, 103, 6275891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 976587.3 milliseconds to days.\nAnswer: 0.01130309375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b*j**2*y - 1721*b*j**2 + 2*b*j + 162*j**2*y + 15349*j*y - y - 27 wrt j.\nAnswer: -10*b*y - 3442*b + 324*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 133 * 0.92.\nAnswer: 122.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2741*z**2 + 365*z**2 + 1052*z**2 + (0 - z + 0)*(-z - 2 + 2) + z**2 - z**2 - 3*z**2 to the form c*z**2 + l*z + m and give c.\nAnswer: -1326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u + 2. Let r be c(-3). Let w be (-6)\/15 - r\/(-20). Let n(d) = -2*d**2 + d**3 + 3 - 4 + 3*d**2 + 2. Determine n(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176237301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 7 + v + 8)*(6*v - v + v).\nAnswer: 6*v**2 + 66*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -260.47 - -260.1. Sort -0.1, 18, b.\nAnswer: b, -0.1, 18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -1 - 4) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 207253582 and -0.3.\nAnswer: 207253581.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*j - 3*n + 28 = 0, 4*j + 0 = 3*n - 19 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 5\/8*o**4 - 5\/2*o**2 + 2*o**3 + 0*o + 1\/20*o**5 - 31. Let l(b) be the second derivative of f(b). Factor l(w).\nAnswer: 3*(w + 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w - 2. Let i be v(-12). Let n be i\/56 - (-68)\/16. Solve 2*x - n*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4503 and 51?\nAnswer: 76551","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 h, and 1 d when four letters picked without replacement from hmmbbbfdbb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 84 and 4396.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.74 - -0.19. Let z = -38.76 + 37. Let b = h - z. What is b rounded to one decimal place?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 159.3 + -159. Let v be (-2 + 3)\/(2*(-5)\/60). Which is the nearest to v? (a) -1 (b) -3\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -47*i - 80*i + 11*i + 21 - 20 to the form a + r*i and give r.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-10)\/i)\/i**(2\/63)*(i*(i*i**11*i)\/i*i*i)**(3\/44))**(-2\/21) assuming i is positive.\nAnswer: i**(27745\/29106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((0 - -7) + 21 - -1 - 8).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z - 2*z + 0*z)*(-9*z + 6*z - 11*z) + 2*z**2 + 2*z**2 - 2*z**2 + 0*z**2 + 2*z**2 + 0*z**2.\nAnswer: 32*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = g + 3*g - 5*z, 0 = -12*g - 2*z + 24 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 1\/2, -5, 4.1, 5 in descending order.\nAnswer: 5, 4.1, 1\/2, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31752)\/5832*2\/(-14)*-2?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6698894223.\nAnswer: 3, 7, 45570709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -5*u**2 - 2*u. Let k(x) = -3*x**2 - 3. What is -c(l) + 3*k(l)?\nAnswer: -4*l**2 + 2*l - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54\/4*(-56)\/(-21). Let n(j) = f - 36 - j**2. Let i(g) = -7*g**2 - 2*g - 2. Let r(x) = -168*x**2 - 49*x - 49. Let q(o) = 49*i(o) - 2*r(o). Give n(q(z)).\nAnswer: -49*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1360649, 1360648, 1360647, 1360646?\n\"Answer: -b + 1360650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**3 + 3*w**2 - 10*w + 14. Let c be m(3). Is c != -97?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1082 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-61)\/(-165920)*-40*2\/(-3))\/(5\/6)\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3459\/26 + -133. Let h = 61\/234 - r. Let k = -411 + 7807\/19. Which is the second biggest value? (a) h (b) 2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -347145616 or -347145617?\nAnswer: -347145617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(1584)*-3 + 0.\nAnswer: 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2900 + 4209. Let c = 2966 - f. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + u**4 + 2 + 4*u**2 + 14*u**4 - 4*u**2 + (0*u + 0*u + 2*u**2)*(2*u**2 + 4*u**2 - 4*u**2) + 5*u**4 - 10 + 10)*(0 + 8 - 1).\nAnswer: 168*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 774 and 340646.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28260593219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24170, 48342, 72514, 96686, 120858?\nAnswer: 145030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 + 0 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-11241)\/20)\/(60\/5). Let h = 27\/80 + d. Let j = 1067\/4 - 268. Find the common denominator of h and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3\/7 - 64*x**2\/7 + 136*x\/7 = 0 for x.\nAnswer: -34, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + -5*(sqrt(156)\/sqrt(3))\/sqrt(4) + -3 + 6*sqrt(91)\/(-1*sqrt(63) + sqrt(7)))**2.\nAnswer: -80*sqrt(13) + 857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.1 + -3.16. Let u = 0.06 + t. Which is bigger: u or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6552 - 6518. Let p(r) be the first derivative of 0*r**2 - 14\/3*r**3 + u*r + 9. Find the first derivative of p(f) wrt f.\nAnswer: -28*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(208) - (sqrt(208) + 1 - sqrt(208)) - sqrt(208)))**2 + sqrt(208) + -5 + 0 + sqrt(208) + 0.\nAnswer: 4 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*p = -5*q + 19*p - 24, 0 = -4*q + 2*p - 30 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -1 - (-231)\/132)*(-840)\/(-18).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 7*m - 1. Let l be j(3). Solve -24 = 4*w + 4*n, 3*n - 2*n = -l for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3446*g**3*t**6 - 132613*g**3*t + g**2*t**2 + 7*g**2*t - 2*g*t**2 + 3371*t**6 wrt t?\nAnswer: 413520*g**3*t**3 + 404520*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 174*s**6 + 2*s**3 + 1670*s**2 wrt s?\nAnswer: 20880*s**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/2084 and 41\/4168?\nAnswer: 4168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that x**2\/7 - 485*x\/7 - 486\/7 = 0.\nAnswer: -1, 486","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 627\/255 + -2 - 15\/(-25). Let c = -89\/68 + b. Let m(n) = -n**2 - n - 4. Let k be m(0). What is the second smallest value in 5, c, k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r - 2*r**3)*(21*r + 4 - 35*r + 13*r) + r**4 + 0*r**4 - 2*r**4 + 2*r**4 + r**3 - r**3 + (-4*r**2 + 3*r**2 - r**2)*(-r**2 + 0 + 0).\nAnswer: 5*r**4 - 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2)*(-222*t + 222*t - 16*t**2).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 57\/23629 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -67*q - 4. Let u(p) = 335*p + 61. Determine -11*h(c) - 2*u(c).\nAnswer: 67*c - 78","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 522170 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + 1021120?\nAnswer: 1021121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14193100 rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(10)\/sqrt(2)*2 - sqrt(5))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -132.6993 - -132.6. Let m = p - -0.09928803. Round m to 6 decimal places.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11747.508 rounded to the nearest 100?\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1211\/(-70) + 17)\/(42\/(-11060)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98379, 393139, 884283, 1571811, 2455723, 3536019?\nAnswer: 4812699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 12284 = -4*o - 32772, 0 = -5*m + 2*o + 34156. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, 42.2, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35.17 - 63.\nAnswer: -98.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g + 4. Let r = 1156 + -1164. What is v(r)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 times 214\nAnswer: -5136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -2. Let d(w) be the first derivative of 5*w**3\/3 + w**2\/2 + w - 4. Is d(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(((x**(-2\/3)*x)\/x)\/x))\/(x\/x**(-1\/3)))**36 assuming x is positive.\nAnswer: x**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 775 divided by 15\nAnswer: 155\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - z + 2*z = 6*o + o + 14*o + 139, 3*z = 2*o + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 740 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298262 (base 10) to base 11.\nAnswer: 1940a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 995 (base 14) to base 16\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - x**2 + 1. Calculate j(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7.85*3\nAnswer: 23.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three fifths of a hour?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -14*q. Let v(n) be the third derivative of 0 + 0*n + 0*n**3 - 33*n**2 - 1\/12*n**4. Calculate p(v(o)).\nAnswer: 28*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.05344637 rounded to 2 decimal places?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 19 - 3. Solve 2 = -2*w + v for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 3*k + 5, x + 2*k = -4 + 14. Suppose 0*v + 24 = 2*v. Calculate the least common multiple of x and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*t**3 - t**2 - 13*t**6 + 4*t**6 + 0*t**3 wrt t?\nAnswer: -1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 44*p**2 - 52*p - 301. What is q(-45)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*o - r, 4*o + 0*r - 20 = -5*r. Suppose -18 = 2*x - 5*u + 9, 0 = -3*x - 3*u + 12. Is x != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3472 and 372?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7317968 and 70245?\nAnswer: 1561","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18 + -10 - 37) + 50.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 24 - 52 + 17*m + m**2 + 57. Is d(-20) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 153873950 to the power of 1\/3, to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**10*l)\/l)*(l*l\/l**(2\/11)*l)\/l*l)\/(l\/l**(-4\/9)*l**0) assuming l is positive.\nAnswer: l**(-755\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 55 = -u, -2*o - 115 = 4*u - o. Let m be (-2)\/((-12)\/(-9))*u. Let s = 70 + m. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 8*o**2 - 7*o + 21. List the prime factors of z(-9).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 2, n: 1, x: 1, f: 1, t: 2}. What is prob of picking 1 f and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 0*v**3 + 0*v**2 + 0*v + 0 + 6*v**5 + 3\/2*v**4 = 0.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 8 = -2*i, -2*i + 3*y - 16 = -24. Find x such that -1\/2*x**i + 1\/2*x**2 - 1\/2*x + 0 + 1\/2*x**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -0*i + 30. Suppose 207 = 5*y + f, 4*f - 5*f = 3*y - 125. Suppose 36*r = y*r - 45. Solve 2*q = -0*j + 2*j - i, 3*j + r = -3*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.07, -12, -1\/5, 3\/4?\nAnswer: -2.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 201 + -327. Find the common denominator of (-329)\/g - 4\/(-6) and (-12)\/4*194\/(-36).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*b + 6, 13*o - 8*o - b - 52 = 0. Suppose 0*h - 5 = -5*h - m, 3*h - o = -2*m. Let g be (-1)\/(-4) + (-69)\/288. Which is smaller: h or g?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30418217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -b*m**2*o - 1276*b*m**2 - m*o + 59*o**3 wrt o?\nAnswer: -b*m**2 - m + 177*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 + 16*f**2 - 14*f - 3. Calculate the remainder when b(15) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-63.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -9*f + 24. Let l(p) = -4*p + 12. Give 3*j(m) - 7*l(m).\nAnswer: m - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/7 + 7216*g**2\/7 - 6508832*g\/7.\nAnswer: -2*g*(g - 1804)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 - -160. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -31*m - 99. Let s be d(-4). Differentiate 31*n**2 - s*n**2 + 7 - 111*n**2 wrt n.\nAnswer: -210*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2142615 weeks to seconds.\nAnswer: 129585.3552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -268\/5*j - 3776\/5 - 2\/5*j**2.\nAnswer: -2*(j + 16)*(j + 118)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79147717?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2229*j - 2248*j + 209 = 0 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -37 + -31?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 35 = 5*g, 2*f + 23 = g - f. Let j(o) = o**3 - 8*o**2 + o - 6. Let c be j(g). What is the units digit of ((-2)\/c - 6)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 8*t**2 - 11*t - 2. Let o(c) = 24*c + 15. Let b be o(-1). Let d be w(b). Calculate the greatest common factor of d and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -882 + 873. Let n be s*2\/(-54)*0. Solve n = 5*r + g - 5, 2*g + 0*g + 18 = 4*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5157068074.\nAnswer: 2, 353, 20693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -193*l - 40 = -197*l for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*w = -586 - 8228 for w.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 34*r**2 - 15*r**2 + 1224703*r - 1224770*r - 24 + r**3. Calculate a(-22).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g\/(g\/g**(-3\/5))*g*g**(-1\/4)*g\/(g*g**(5\/3))*g*g**(2\/9)*(((g*g**(-2\/5))\/g)\/g)**15\/(g\/g**(-2\/5))**(2\/63) assuming g is positive.\nAnswer: g**(-3661\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2356 - 2249. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -q**6\/360 - 419*q**5\/180 + 841*q**4\/72 - 421*q**3\/18 + 233*q**2. Suppose f(t) = 0. Calculate t.\nAnswer: -421, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microsecond in nanoseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 1\/7, -1, 0.08628, 1?\nAnswer: 0.08628","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 185 = -91. Let q = 9 + m. Let x = 58 + q. Sort 4, 1, 0, x.\nAnswer: x, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1653 - 1413. Calculate the remainder when s is divided by 105.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 16. Solve -a = s - o, 0*s + 8 = s + 4*o for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/382781958 and 49\/474066?\nAnswer: 3445037622","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -147.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 326020 to the power of 1\/2, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 222899642 to the power of 1\/3, to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - z. Let x(v) = -v**2 - 3*v - 15. Determine 4*l(a) - x(a).\nAnswer: -3*a**2 - a + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4.8 and 0.08.\nAnswer: 0.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -4, -5, 125, 10 in descending order.\nAnswer: 125, 10, 4, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1575)\/105 + 223\/13. Is -0.07 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 5*g - 2. Let x be l(-5). Let p be 0*(2 - 1)\/x. Let z be 2 + -4 + 11 - p. Calculate the highest common factor of 90 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 9.881 (b) 5 (c) -0.4 (d) -2 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((3*(sqrt(196)\/sqrt(4) + sqrt(49)))\/(1*sqrt(700)))**2*-4 + 5.\nAnswer: -883\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*y**6 - 101930*y**4 - 414*y**2 - 33284*y wrt y.\nAnswer: 2760*y**3 - 2446320*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**3\/3 + k**2 + 4*k - 3973. Let q be (-6 + -4)*(-4)\/5. Determine h(q).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 63*n - 1. Let d(x) = 29*x - 6. Determine j(d(a)).\nAnswer: 1827*a - 379","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + g**2 - 25*g - 98. Let f be x(6). Solve f*n - 5*w = -1, 3*n - 8*w - 8 = -13*w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -61 + 21. Let v = d - -43.2. Round v to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -4. Let w = y - -2.2. Let i = -10290.9 + 10291. What is the closest to w in i, 2, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**2 - 155806112*r = 0. What is r?\nAnswer: -155806112, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/(-46) + (231\/(-15))\/((-4)\/10)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 4, o: 7}. What is prob of picking 3 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -67549, -67544, -67537, -67528, -67517, -67504?\n\"Answer: o**2 + 2*o - 67552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1410 - 705 - 705 - 907*w.\nAnswer: -907*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehe when three letters picked without replacement from {g: 2, e: 9, h: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*b - 20 - 19 = -4*m, -2*b = 0. Let f(z) be the second derivative of m*z + 0 - 11\/6*z**3 + 0*z**2. Let y(g) = -2*g**2. Determine f(y(p)).\nAnswer: 22*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 4*l**2 - l - 1. Suppose t = 2*a + 2, -t = a + 6 - 5. Give u(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -235748, -235759, -235778, -235805, -235840, -235883?\n\"Answer: -4*g**2 + g - 235745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2*k + 2)*(4 + 4 + 7) + 5 - 5 - 2*k + (4 - 4 - k)*(2 + 3 - 23) + 0*k - 3*k + 4*k to the form j*k + l and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 19*k + 6. Let w be p(3). Let u = w + -57. Calculate the remainder when 52 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -451 - -568. Let w = 64.4 - n. Round w to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -l + 5*t - 34, 0 = 5*l - 3*t - 34. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1510.45 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201001100 + 11?\nAnswer: -201001012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/3 + 160\/(-6). Let f(t) = 8*t + 46. Let s be f(-6). Let a = q + s. Is -29 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 5:39 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u + 12 = -9*u. Suppose 0 = u*m - 3*y - 609, 5*m = 7*y - 3*y + 761. Is 9 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1092597, 4370587, 9833899, 17482527, 27316465, 39335707, 53540247?\nAnswer: 69930079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 6*z + 3. Let k(h) = 13*h + 7. Give -5*b(r) + 2*k(r).\nAnswer: -4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from huaavqaa.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 176*h**2 + 327*h + 6008. What is y(174)?\nAnswer: 2354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-79 - -1) + (4420 - 4410)?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 708926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -38 + 42 + 3 - ((-3 - -1) + 2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 149176028 to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 405824 divided by -39.\nAnswer: -405824\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -94.41 less than or equal to -3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62748*l**2*u**3 + 2*l*u**3 - 12*l - 947*u**2 wrt l.\nAnswer: 125496*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 656782429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1.28 times -0.038388\nAnswer: 0.04913664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4 = 0, -2*v + 23 = -0*v - 5*o. Let l(t) = 1576*t**3 + 2*t**2 - 7*t - 3. Let j be l(v). Let q be j\/2*(-2)\/3. Round q to the nearest ten thousand.\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 40, 63, 94, 133, 180, 235?\nAnswer: 298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 6. Let u be (-2 - (-1 - y)) + 2. Suppose -2*t + u*a = -3*a - 66, -4*t = -2*a - 164. List the prime factors of t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 400\/35 + -7 + 9\/(-21). Suppose -5*n + 3*k - 1430 = 5*k, -u*n + k = 1157. What is the smallest value in n, -4, 4?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 88, 977, -5, 11 in descending order.\nAnswer: 977, 88, 11, -5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -26 - -11 - (2 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -6*h - 6309. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1200*-2\nAnswer: 2400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-945))\/(7\/(-175)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211*b + 113827 + 276948 = 99595. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*y - 8. Let n(m) = 5*m**3 - m**2. Suppose 2*k + 2*p - 8 = 0, k + 3*p - 6 = 4*k. Let c be n(k). Sort y, -4, c in descending order.\nAnswer: y, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -5116*l + 112545. Determine g(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/21780 and -19\/12100.\nAnswer: 108900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*p**4 - 132 + 132 + (0*p + p - 2*p)*(-2*p**3 - 2*p**3 + 6*p**3) + (-p**2 + p**2 + 7*p**2)*(-2*p - 4*p**2 + 7*p**2 - p**2).\nAnswer: 19*p**4 - 14*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23112 (base 5) to base 3.\nAnswer: -2021101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.29+-84872.265\nAnswer: -84871.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/7 + 48*p**2\/7 - 56*p - 960\/7.\nAnswer: 2*(p - 8)*(p + 2)*(p + 30)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -16. Suppose 75 = 4*a - v. What is the lowest common multiple of a and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o - 685. Let z(x) = -319*x - 310*x - 311*x + 941*x. Calculate z(k(s)).\nAnswer: s - 685","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 53.726*2\nAnswer: 107.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7 + 13 - (-67)\/(-28) and 59\/161.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 4*q + 347, -10*u = -11*u + 3*q + 120. Let g = u - -102. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 194 = q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 68*o - 240.\nAnswer: -2*(o + 4)*(o + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -2*k**3 + 370. Let t(f) = -21*f**2. Give t(y(q)).\nAnswer: -756*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - -3. Suppose 2*s - a = s. Let d(t) = 2*t + 29. Let j be d(-9). What is the greatest common divisor of s and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/2 - z - 1\/2*z**2 = 0. Calculate z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -j - 40, 5*u + 2*j - 87 = 31. Let w be ((-2)\/(-4))\/(-2 + 45\/u). Suppose d = w*d - 830. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/(-6)*48\/30. Let u(i) = -i**3 + 2*i**2 + 10*i - 5. Let f be u(p). Suppose -5*k = -f*c + 160, -119 + 10 = -2*c + k. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 622, 621, 620, 619?\nAnswer: 618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298.\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*u - 10\/11*u**2 + 96\/11.\nAnswer: -2*(u + 16)*(5*u - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -42*c**2 - 266*c + 521. Calculate d(2).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 3*t + 2045. Let w = -342 - t. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + 3*i**2 + 4*i + 6. Let f be v(-2). Let o(z) = -z + 5. Let m be o(f). Let j = 1.1 + -1. Which is the closest to m? (a) -5 (b) j (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(2) + (sqrt(2) + 1)**2 + 0).\nAnswer: 12 + 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.6 - -1.7. Let u = 4 + y. Let m = 1197 - 1202. What is the nearest to u in m, -0.2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 17 + -7 + 0\/(-1). Suppose h*m = 9*m + 2. Suppose -4*o - 3 = 1, m*n - 15 = -o. What is the highest common factor of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.6 or 0.01751925?\nAnswer: 0.01751925","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111 - -10101001110101?\nAnswer: 10101001100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-131 - 121020\/(-924))*-308.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 318 + -340. Which is smaller: -5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cl when two letters picked without replacement from {l: 1, z: 2, s: 3, c: 7, a: 6}.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 404 (b) 2\/13 (c) 117 (d) 6\/5 (e) 0.4 (f) 1 (g) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 6381*b + 223427. What is f(-35)?\nAnswer: -1133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 b when two letters picked without replacement from bag.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqcqjcjmmjmmq. Give prob of sequence qmm.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**2 + 2*n + 4. Determine l(-5).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 13*q**3\/6 + q**2 - 20*q. Calculate the remainder when s(7) is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xvxnvnnnnni. What is prob of sequence xxiv?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by 3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -3*v + 1. Let q be l(-1). Suppose -q*n = -5*n. Suppose 3*s + 3175 = i, 9485 = 3*i - n*i + s. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3\/5, -4, 2 in increasing order.\nAnswer: -4, 3\/5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1\/3)\/(((-56)\/(-2800))\/((-3)\/(-5))). Let n = 2 + -1.9. Let h(c) = 2*c + 2. Let x be h(-2). What is the biggest value in n, x, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 34.4 - 39. Let p = 5 + h. Which is the nearest to 0.1? (a) -3 (b) p (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 56376 = -56361. Let y(o) be the second derivative of 1\/80*o**s + 3\/8*o**2 + 0 + 7\/24*o**3 + o + 5\/48*o**4. What is g in y(g) = 0?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 749*a + 140*a + 5334 = 0 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 + -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 90\/(-33)*(0 - 3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -2, -17 in descending order.\nAnswer: 1, -2, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 12*x**2 + 40*x + 31. Give o(7).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 312 and 44031.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**5 + 90*i**4 - 5*i**3 - 90*i**2 = 0. Calculate i.\nAnswer: -18, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1355242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 PM and 9:27 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 128.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8705504 is divided by 1061?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5702675717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 141, 136, 117, 78, 13, -84?\n\"Answer: -a**3 - a**2 + 5*a + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.3 (b) 508 (c) 0.02 (d) -97\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k - 6. Let x be m(7). Let d = -13 + x. Suppose -3*s = -2*s - d. What is the greatest common divisor of s and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n + 4*n - 3*n)*(-5*n + 3*n + 0*n) - 11 - 7*n**2 + 11.\nAnswer: -11*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -5, -1\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 11*i + 8. Let t be b(11). Let h = t + 1. Suppose 4*r - 1 = 5*r, y + r - h = 0. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -22*a**2 + 5*a. Let b = -38 - -43. Let g(u) = -11*u**2 + 3*u. Let z(c) = b*g(c) - 3*h(c). Let y(d) = 2*d**2. Determine z(y(s)).\nAnswer: 44*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9 + 0.1. Let k = 3.9 - d. Which is the smallest value? (a) k (b) 1 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 98\/1381 - -3670903\/16572. Let u = -445\/2 + p. What is the common denominator of 278\/(-80) - 4\/10 and u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 - -50.9\nAnswer: 50.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 99372, 99369, 99368, 99369?\n\"Answer: l**2 - 6*l + 99377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 - 11. Let a = d - 23. Let v = -25 + a. What is the remainder when 60 is divided by v?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**11\/w*w)\/(w*w*w\/((((w\/w**(5\/7)*w)\/w*w)\/w)\/w)))\/(w**(1\/4)*w*w**(-8)\/w) assuming w is positive.\nAnswer: w**(449\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-327)\/(-33) + 2\/22. Suppose -4*i + 0 = 12. Let y(w) = -w**3 + 2*w**2 + w + 4. Let d be y(3). Put p, d, i in descending order.\nAnswer: p, d, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -109427 or -109422?\nAnswer: -109422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + y. Let f be x(-1). Solve f = -r + 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.038811 rounded to 2 decimal places?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 10 = -6*j + 5*u, -2*j + 4*u = 2. Let d(h) = h**3 - 9*h**2 - 9*h - 10. Let o be d(10). Put j, o, -9 in decreasing order.\nAnswer: o, j, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 2*u - 2*u)*(47 + 2*u - 49 - u).\nAnswer: -2*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 9.5. Let y = -115.8 - -115. Let w = s + y. Round w to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1023 and 55?\nAnswer: 5115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6836.\nAnswer: 2, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*w**5*x**3 - 41*w**5*x + 9*w**2*x**3 - 2*w*x**3 - 3 wrt w.\nAnswer: -180*w**2*x**3 - 2460*w**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(2) + -1*sqrt(200))**2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 768*l - 765*l - 5*u - 9, -121 = -17*l + 5*u for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 629835248?\nAnswer: 2, 7, 61, 92189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 10. Let g be s(-5). Let c = g - -5. Suppose -4*u + 92 = -c*u. Round u to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 43*k**3 + 2*k**2 + 5. Let n(r) = 21*r**3 + r**2 + 2. Calculate 5*n(g) - 2*p(g).\nAnswer: 19*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-9))\/(65\/(1560\/(-144)))?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 719715371 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013651 rounded to 3 decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 388896 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 5:20 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -38 + a4?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10, -61, -196, -457, -886, -1525?\nAnswer: -2416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 110356 divided by 27589\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 171 + -189. Let f = 33 + g. Let a be ((-2142)\/(-33))\/6 + 2\/11. Solve -b = -4*x - f, -2*x - 5*b - a - 2 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 4:15 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 627 = 633. Let x = y - 116. What is the remainder when x is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(((u\/(u\/(u\/u**(1\/6)))*u)\/u)\/u))\/(u*u\/(u*u\/(u*u**(-3)))))**(4\/17)\/(((u*u**(-3\/8))\/u**(2\/5))\/(u**(-4)\/u**(-1\/3))) assuming u is positive.\nAnswer: u**(-5939\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/43 in 1678, 2\/5, 1\/7, 0.07, -2\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/5832 and 101\/143204760?\nAnswer: 143204760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 y, and 2 f when four letters picked without replacement from {f: 2, k: 10, y: 2, p: 1, x: 1}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 9 = -0*u. Suppose -110 = 2*a + u*a. What is the common denominator of 0 + 2 + 53\/a and -55\/6?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -27*i**2 - 77760*i - 55987637. Let q(n) = -3*n**2 - 8640*n - 6220846. Let t(c) = -2*a(c) + 19*q(c). Factor t(m).\nAnswer: -3*(m + 1440)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1276*p - 46 = -1277*p - 5*b, 4*p + b - 13 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4304 - -4309. Sort 4, -1, -19, -2, r in ascending order.\nAnswer: -19, -2, -1, 4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*b*i*r**2 - 2*b*i*r - 104*b*i + b*r**2 + b + 10*i*r**2 + 6*r**2 wrt r.\nAnswer: 16*b*i + 2*b + 20*i + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.3 (b) 3 (c) -0.13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2205.66 kilograms to nanograms.\nAnswer: 2205660000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, a: 10}. Give prob of sequence ap.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**4 - 39*m**3 - 144*m**2.\nAnswer: 3*m**2*(m - 16)*(m + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*x + 6*x**2 - 75*x**3 + 993 - 993 wrt x.\nAnswer: -450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937070931?\nAnswer: 3, 312356977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129378?\nAnswer: 2, 3, 21563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 18*y + 55. Calculate n(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*n + 31 = 0, 44 - 40 = 4*o + 4*n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.2 and 17.05632?\nAnswer: 16.85632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 - 2)*(o + 5*o - 4*o)*(-6*o + 3*o + 2*o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvsjjvjvsjvqsjvqvv. Give prob of picking 2 j and 1 k.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 162, -246, 1\/4, 2\/45, 0.1, 2\/13?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 + 22*u - 17. Let i be o(21). Suppose 2*x + 10 = 0, -6*z + 30 = -3*z - 3*x. Solve i*v + 24 = -3*y, -5 - z = -2*v + 4*y for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -230, -19, -5 in decreasing order.\nAnswer: -5, -19, -230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:03 PM and 2:03 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**4 + k**4 + 2*k**4)*(-802 + 13380*k + 3351*k + 802).\nAnswer: 16731*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5115 is divided by 80.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4281216 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.91833 take away -77347.8866?\nAnswer: 77349.80493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -562 and 0.32.\nAnswer: -561.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010365 rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 50*v**2 + 687*v - 1643. Give w(21).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((24\/(-7))\/(-2))\/(68\/5236). Let r = -58 + g. Let x be 2*((-666)\/(-4))\/3. What is the highest common divisor of x and r?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -37\/27, 1, -0.046, -1?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l**2 + 76*l**2 - 2*l - 45*l**2 + 4*l - 2*l.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 4*s - 125, -2*r = 3*s - 53 - 197. Let p = r + -74. Is p a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2818 - 6494 = -12*d. What is p in 144*p**2 + 22*p**3 + 826 - d + 7*p**3 - 2*p**4 + 148*p + 15*p**3 = 0?\nAnswer: -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2211508*z**2 - 1105743*z**2 - 1105747*z**2.\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*s + 75 = -478 for s.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -960 (base 10) in base 11?\nAnswer: -7a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/((j**1\/j*j*j)\/j))*j)**(2\/101)\/((j\/(j*j**1)*j)\/(j\/(j*(j\/j**(-2\/3))\/j))))**(-46))**42 assuming j is positive.\nAnswer: j**(122360\/101)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2160) - sqrt(2160)*-3) + sqrt(15) - sqrt(90)\/sqrt(6)*1)\/(2*sqrt(30)\/sqrt(6) - sqrt(245)*4).\nAnswer: -24*sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 7. Let h = 2014.1 - 2641. Let c = -627 - h. Are v and c nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 10:05 AM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104582, 104575, 104568, 104561, 104554, 104547?\nAnswer: 104540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -260.7053 + 7.551157\nAnswer: -253.154143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 3*u - 10. Let d be y(7). Let h = -34 - d. Suppose 0 = -5*s - 13 + 33. What is the greatest common factor of h and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, i: 3, w: 12}. Give prob of picking 3 i.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1405476 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 577468 divided by -2?\nAnswer: -288734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-216))\/1*((-7182)\/840)\/(-57)?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 476 - 378 = -7*g for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**3\/3 + c**2 + c - 1. Let s be (-11)\/22*(-20)\/(-2). Let x(i) = -i**2 - 2*i - 1. Give s*n(m) - 6*x(m).\nAnswer: m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 355 = -358. Suppose -2*b = s*i - 13895, -4*i = -b + 6*b - 18536. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 335.\nAnswer: -1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) 1 (c) -2928 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 667 = 3*r - 5*f, r + 5*f = -0*f + 229. Calculate the remainder when r is divided by 97.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0936 + -4.0936. Which is the nearest to -10.87? (a) r (b) -5 (c) 3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -209366, -1674817, -5652466, -13398413, -26168758, -45219601, -71807042, -107187181?\nAnswer: -152616118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-92)\/(-207)*(-9)\/14?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -23\/7 or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*i + 45. What is the common denominator of 23\/10 and (-30)\/24*i\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a second in milliseconds?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 4*j - 55, 20*o - 296 = 16*o - 3*j. Let v = 22 - -9. Let c = o + v. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -8076, -8052, -8006, -7932, -7824?\n\"Answer: r**3 + 5*r**2 + 2*r - 8084","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28074 + -112835\/4. Let n be 21\/(-6)*3*14. Let y = m - n. Calculate the common denominator of y and 57\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6 + 42\/(-4))*2\/(-3). Suppose b*h + 2*z - 136500010 = 0, h - 2*z = -0*z + 45499990. What is h rounded to the nearest one million?\nAnswer: 46000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m = -7*m + 8 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 746.\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1512 equal to -1530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 14*g - 41. Let b(r) = 10*r - 44. Let q(l) = 3*b(l) - 4*s(l). Determine q(5).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 126 = -6*l. What is the remainder when (-20)\/6*l\/(-4) is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1.442 and 277.\nAnswer: 278.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*d + 2*d + 4*d)*(2*d**2 + 4*d**2 - 5*d**2) + (115 - 12*d - 115)*(4*d**2 - 2*d**2 - 4*d**2) to the form g + x*d**2 + y*d**3 + c*d and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**2. Let k(a) = -2*a - 1. Let i be k(1). What is the units digit of g(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 * -3966128.\nAnswer: 31729024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 11 + 165?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p + 3. Let j(v) = 5*v + 85. Calculate 6*g(k) - j(k).\nAnswer: k - 67","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2375 - 0.3375. What is the closest to k in 1\/12, -0.3, 12?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42906976\/835 - 24\/15 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12234014 to the power of 1\/2, to the nearest integer?\nAnswer: 3498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*s - 2)*(-3 + 1 + 0) + 20*s + 17*s - 18*s + 2*s + 0 + 0 + (-4 + 2 + 0)*(0*s + 3*s - s) + 0 + s + 0 in the form h + i*s and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*l + 83*l + 83*l + 47394.\nAnswer: 7*l + 47394","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 514 + -513. What is the second smallest value in -1, 116, z, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 12 = c. Let w(a) = -a - 4*a**2 + 4*a + 2 + 6*a**3 - 5*a**3. Let y be w(3). Solve 3*x + 4*s - 9 = s, x = -y*s + c for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 5, r: 6, f: 1, p: 6}. Give prob of picking 3 n.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 2)*(2019 + -2045).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 5:37 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15934?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a - d = 2, 5*a + 3*d - 10 = 0. Suppose -a*g + 3 + 9 = 0. Find the third derivative of -m**2 + m**g - 3 + 3 wrt m.\nAnswer: 120*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3*3\/((-27)\/(-6)). Suppose k = -3*z - 1. Let p(d) = 2 - 5 + 2 - 4*d**3 - d**2 - d. Determine p(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-12)*(-12)\/2*2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 + -22. Let t(n) = n + 1. Let l be t(g). Let x(a) = -a**3 - a + 5. Determine x(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 - 8*w + 6. Let i(h) = h + 1. Let s(n) = -i(n) + q(n). Let r(y) = -3*y**2 - 4*y + 9. Let c be r(0). What is s(c)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1711057\/10 - 171253. Let f = 32611\/220 + y. Find the common denominator of -65\/18 and f.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25\/(-7))\/((72352\/(-833))\/304)\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 446680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/((-207)\/(-4))*66\/1540.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4609941 or -4609938?\nAnswer: -4609941","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/1)\/(16\/(-120)). Solve 17 = 4*f + 5*u, -9*f - t = -4*f - u for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4925, -6451, -7967, -9467, -10945, -12395, -13811, -15187?\nAnswer: -16517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t**(-4))\/t**6)\/(t*t**1)**(-8))\/(((t**3*t)\/((t**(-3\/5)*t)\/t))\/(t**0\/(t*t**3))) assuming t is positive.\nAnswer: t**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2665938.48+-1.43\nAnswer: -2665939.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 627.\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 132*u - 376 - 21 = -133. What is v in -320\/3*v + 4\/3*v**u + 6400\/3 = 0?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4 - 8*n**2 + 14*n**2 + 2 + 169*n**6 + 3*n**2 wrt n.\nAnswer: 20280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -6. Which is bigger: y or 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4 - 6504*s**3 + 3279780*s**2 - 506706192*s - 8360696880 = 0. What is s?\nAnswer: -15, 414, 813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000100010100011001001 - 10100?\nAnswer: -11000100010100011011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 17*i**2 - 6*i + 8. Suppose -2*y = 49 - 27. Let s(d) be the first derivative of 2*d**3 - d**2 + 3*d - 15. Determine y*s(b) + 4*c(b).\nAnswer: 2*b**2 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j. Let d(g) = 9*g - 108. Let a(x) = -4*x + 54. Let s(m) = 5*a(m) + 2*d(m). Give s(w(k)).\nAnswer: 4*k + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n. Let f(g) be the second derivative of -43*g**4\/6 - g**2 - 2*g + 61. Give f(u(r)).\nAnswer: -86*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137 = -p + 11*d, -41*d + 155 + 412 = -3*p + 5*d for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of -l**4\/4 - 5*l**3\/6 - 172*l**2. Give g(7).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935844399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.877214 and 0.5.\nAnswer: 1.438607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 29 - 20. Put 2, v, 16 in decreasing order.\nAnswer: 16, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27*132\/(-16038) - 580\/(-18)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**2 - 53036*f - 955944.\nAnswer: 4*(f - 13277)*(f + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-18)*3)\/(4\/(-4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 0*n**2 - 3*n + 2*n**2 + n**2 - 3 - n**2. Let a(r) = 10*r**2 + 0*r + 2*r - 2*r**2 - 3 - 15*r - 10. Determine -6*a(b) + 26*t(b).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -39, -3.\nAnswer: -39, -3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -8 and 8.0494841022.\nAnswer: 0.0494841022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-63 + 3 - 90)*((-2*z + z - z)*(z + 4*z - 6*z) + 4*z**2 - 2*z**2 - 3*z**2) as q*z**2 + v + n*z and give q.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15999 + 15990 = t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 0*v = -32. Let i be (-18)\/(-63) - v\/(-21). Let g(k) = k**3 + 6*k**2 + 5*k + 2. Let x be g(-5). Put x, 1, i in increasing order.\nAnswer: i, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 + 50. Let x = -14 + s. What are the prime factors of x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46.5 + 354.5. Let x = j + -400.9. What is the third smallest value in -7, 1\/6, -0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444104373 to the power of 1\/4, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -0*p + 5*p, -3*l + 2*p = 0. Let d = -1 + l. Let h be (-8)\/12 + 32\/66. Which is the nearest to d? (a) h (b) -1 (c) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.15377828 and -0.123.\nAnswer: 0.03077828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4380*w**2 - 3*w + 3*w + 4381*w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 281358 to the power of 1\/2, to the nearest integer?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34059566 is divided by 12287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130) - (2*sqrt(130) + sqrt(130)) - sqrt(130))*4 - sqrt(130))\/((sqrt(10) + sqrt(40)\/sqrt(4) - sqrt(10))*6).\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 100100100?\nAnswer: 100011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.065 times 11296539?\nAnswer: 734275.035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 6 = 15. Let x(n) = 190*n**2 - 2*n + 3. List the prime factors of x(t).\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26893651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 8021 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4639 (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 20*f**2 + 11*f - 11. Let d(p) = 24*p**2 + 12*p - 12. What is -7*c(g) + 6*d(g)?\nAnswer: 4*g**2 - 5*g + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 - 169 - -92 - (-1 - -8) - 11?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 58 - 55. Let l(q) = 32*q - 3*q**k - 60*q + 27*q. Suppose 7*o - 3*o - 4 = 0. Calculate l(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from {h: 2, j: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 9, 14 = 8*g - 3*g + 2*m for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -12 - (-53 - -41).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(-3)\/12*(-45)\/9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 5. Suppose -2*k = -2*i, -4*i - t*k = -9*i + 15. What is the third derivative of 0*y**5 - 5*y**2 + 4*y**2 + 2*y**i wrt y?\nAnswer: 120*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o + 32. Let b(q) = q + 6. Let m(k) = -6*b(k) + t(k). Calculate m(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**2 - 10*z - 7. Let t(v) = 6*v**2 - 51*v - 35. Let m(o) = 11*k(o) - 2*t(o). Suppose -2 = -2*r - 14. What is m(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-2)*(-28)\/(-21). Let m be (u + 8\/(-4))\/(-2). Differentiate m*p**3 + 0*p**3 - p**4 + 15 - 9 wrt p.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 18 = -2*h, -2*h - 7 = -3*x + 18 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/21, -0.5, -1140321, 0.2 in descending order.\nAnswer: 0.2, -5\/21, -0.5, -1140321","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hvubbuvifv. Give prob of picking 1 u and 1 b.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: 94 times -5\nAnswer: -470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Let q be (-8)\/21 - j\/(-3). What is the nearest to -1\/4 in q, 3, 0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22453103312149 + 0.\nAnswer: -22453103312149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + 1. Suppose w + c - 26 = 18, -132 = -m*w + 4*c. What is the common denominator of w and -2 + (-85)\/25 + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 6*d**3 - 2*d + 1. Let m be i(1). Let n(s) = s**2 - 5*s - 5. Let x be n(m). Let y = -1 - x. Solve u = -4*c + 11, -2*u + 4*c = 2*u - y for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2. Let y(d) = -10*d**2 + 2*d + 2. Let v be (9\/6)\/(-2*4\/304). Let f = v - -45. What is f*z(i) - y(i)?\nAnswer: -2*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 6:48 PM?\nAnswer: 4:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 3*t + 8. Let s(u) = -8*u - 25. Let w(b) = 11*g(b) + 4*s(b). Calculate w(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567)\/(sqrt(9)*1))\/(sqrt(9) + sqrt(9)*-2*2) + (2*sqrt(7) + -5 - -1*(sqrt(7) + 2)))**2*1 + 3.\nAnswer: -16*sqrt(7) + 556\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 15*g**2 - 37. Let o(z) = 44*z**2 - 112. Let v(f) = 7*i(f) - 2*o(f). Let y(u) = 6*u**2 - 12. Determine -4*v(j) + 11*y(j).\nAnswer: -2*j**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 11 = 4*b - 15, -14 = -4*b + 3*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 0.5, -73, 3, 0.02?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 6) to base 15\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7686 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 51 - -2?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**2 - 3*u + 1. Let t be -3 + (-3)\/3 - -8. Is s(t) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2580 and 75.\nAnswer: 12900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(104) + 1*sqrt(104) + sqrt(104)) - sqrt(104))\/(2*sqrt(8)*-5) + -2*(2*sqrt(468)*-1 + -4))**2.\nAnswer: 1976*sqrt(13)\/5 + 799517\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74941 is divided by 1561.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.1341 + 102.5541. Let p = i + -100.92205. Let k = p - 0.5. What is k rounded to 4 decimal places?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + -2. Sort -2, -4, b in decreasing order.\nAnswer: -2, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 298\/5 - (-5 + 4). Let n = 61 - i. Is 1 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*sqrt(11) + -3 + sqrt(11)).\nAnswer: -9 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 51*n + 417. What is q(12)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 greater than 311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 63*z**2 + 4 - 62*z**2 - 29*z - 2*z to the form i*z + g*z**2 + o and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 5:04 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54363, 54396, 54465, 54576, 54735?\nAnswer: 54948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.1 + -12.958. Let g = -3.1 + j. What is g rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 7*n**2 + 2*n + 4. Let q(b) be the second derivative of b**4\/2 + b**3\/3 + 5*b**2\/2 + 296*b. Give 4*q(a) - 5*x(a).\nAnswer: -11*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-260)\/182 - (1 - -1). Let z = m + 44\/21. Which is the biggest value? (a) z (b) 1 (c) -1\/3 (d) -1\/46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -29. Suppose x - 15 = -2*w + 4*x, -o*x = 2*w + 6. Determine n, given that -w*n**2 + 5 + 75*n**5 - 139*n**3 + 15*n**4 + 48*n + 16*n**3 - 17 = 0.\nAnswer: -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13)\/(-26) + (-34)\/(-4). Let h be ((-4983)\/(-12))\/11 - t\/12. What is h rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 387069?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of -1\/2*g**3 + 1\/20*g**5 - 11*g + 1\/6*g**4 + 0 - 3\/2*g**2. Suppose -d + 2*d - 14 = 3*s, 20 = -5*s + d. Give v(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 42*g + 15*g - 1 + 1 + 31*g to i*g + z and give i.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 347*n - 345*n = 7, -v - 3*n = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/6)*u**(2\/17))**(12\/11) assuming u is positive.\nAnswer: u**(58\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 5*w + 38 - 9 = 0, 4*w = v + 19. Let m = v + 13. Let h = 166 - 152. What is the lowest common multiple of h and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 241019511.\nAnswer: 3, 71, 1131547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is q in q**2 - 70337*q - 1055280 = 0?\nAnswer: -15, 70352","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2208 at least as big as -2208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 260604 and 1368.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 - 0.1. Suppose 2*q + 19*p + 18 = 15*p, 2*q - 6 = 2*p. Sort t, q, 0.2 in ascending order.\nAnswer: q, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/5)\/(1072\/1340)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -2*v**3 - 11*v**2 + 32*v + 159. Give n(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 39709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8 + 1\/((-3)\/9). Which is greater: -0.1 or b?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrp when three letters picked without replacement from {p: 1, t: 7, r: 4, z: 2}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 times 0.007?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-11)*d*d*d**(-3))\/(d**(-1\/2)\/d**(-2)) assuming d is positive.\nAnswer: d**(19\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6505 is divided by 2841?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 15332 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/4)\/1*12. Let b be (-40)\/(-6)*v\/(-5). Let r be ((-6)\/b)\/(3\/12). Solve -2*z - 2*i - 12 = z, -5*z + r*i - 1 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-9)*k**7*k)**(24\/11)*((k\/(k\/k**7)*k)\/k)\/(k\/(k*k\/(k*k**(1\/4)*k*k))*k)*(k**(-1)*k)**8 assuming k is positive.\nAnswer: k**(69\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1456 - -1622 - (3 - 2 - -17 - 1).\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + w + 40 = 4*i, 2*w - 3*i - 47 = 0. Calculate the remainder when 40 is divided by w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 413555 is divided by 7519?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-4)\/(p**(-2\/3)\/p)*((p*p**(-1))\/p)\/(p\/(p\/(p*p*p**(1\/4))))*((p*p**(1\/4)\/p*p*p)\/((p**2\/p)\/p))**(-6) assuming p is positive.\nAnswer: p**(-229\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3035501005 + -4?\nAnswer: -3035501013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21396700 rounded to the nearest 100000?\nAnswer: 21400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/4, 101, -3, -1\/8?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4\/15 + 3\/5. Which is bigger: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a kilometer?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p - 5. Calculate z(8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01552424 rounded to 4 dps?\nAnswer: -0.0155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -799\/9 + 89. Suppose 2*z + 5*i - 24 = 0, 3*z - i = -4*i + 18. Suppose 4*g - z = 2. Which is bigger: u or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 596954342 to the nearest integer?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 3219\nAnswer: 643.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/12 (b) 0.5 (c) 2\/9 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 6829*q*y**2 + 3*q + 288 with respect to y.\nAnswer: 13658*q*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, -84, -285, -660, -1263, -2148, -3369?\n\"Answer: -9*n**3 - 6*n**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2177*h**2. Let l(n) = -24*n**2. Determine l(k(g)).\nAnswer: -113743896*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2.9. Let h = -8.2 - 209.8. Let d = h + 214. Which is the nearest to u? (a) d (b) 2\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.9 + 8.\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gzlg when four letters picked without replacement from vzjglzzzjlgjzzg.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00026169302 rounded to 7 dps?\nAnswer: -0.0002617","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 38, 135\/31979 in descending order.\nAnswer: 38, 1, 135\/31979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-20)\/3)\/(-2))\/((-14)\/(-21)). Suppose -s = l*s - 642. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 - 26*w + 167. Calculate j(15).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 5:03 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1510736671?\nAnswer: 17, 31, 79, 131, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 420\/40*24\/(-70). Let t = -17\/5 - q. What is the smallest value in t, 2\/13, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3464973 (base 10) to base 5\nAnswer: 1341334343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*y + 2*y + 0*y)*((y + 0 + 0)*(-4 + 1 + 4) + 0 + 2*y + 0) in the form t*y**2 + d*y + m and give t.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/9 - (-13)\/(-3). Let u = -23 - -26. What is the closest to 3\/11 in g, -2, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-2)*8*(-7)\/(-42). Let q be 6\/x - 108\/(-24). Solve q*a + 4*h = 24, 5*a - 2*a - 4*h = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d + 105. Let m be h(0). Suppose 2*u + 3*g - 18 = 6, 2*u + 5*g - 20 = 0. What is the highest common divisor of m and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 57425?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -76 + -1 + 1?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (38\/(-12) - -3)\/((-30)\/(-80))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1123684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s - 11*s + 9225*s**3 - 45442*s**3.\nAnswer: -36217*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 + 576*t**3 + 279 - 16*t**2 - 135 - 35*t**2 - t.\nAnswer: 576*t**3 - 51*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (-3 + -396 - -4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -37, -46, -55, -64, -73?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3923, -14799, -32935, -58343, -91035, -131023, -178319, -232935?\nAnswer: -294883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(5*sqrt(2)) - (sqrt(52) - sqrt(572)\/((sqrt(11)*1 - sqrt(11)) + sqrt(11))).\nAnswer: 2*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/75, -2, -0.8, -4?\nAnswer: 1\/75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -56*n**2. Let g(k) = -31*k**2. Calculate g(d(q)).\nAnswer: -97216*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/14 + (-22)\/(-28). Let w = -2.3354 - -2.1354. What is the nearest to i in 0.5, -9, w, 1\/8?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 187791*u**3 + 42812*u**3 - 93143*u**3 + 336924*u**3.\nAnswer: 474384*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7437119.8 + 1176260\nAnswer: -6260859.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4406973, 17627878, 39662719, 70511496, 110174209, 158650858?\nAnswer: 215941443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v + 6*v - 14*v.\nAnswer: -12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of 0 - 223*k**2 + 113\/3*k**3 + 0*k - 13\/20*k**5 + 0*k**4. Find the first derivative of u(i) wrt i.\nAnswer: -78*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d - 7. Let h be s(7). What is the hundreds digit of (2\/(-6))\/(14\/2373)*h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2756 + 3279.5945?\nAnswer: 523.5945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x + 6. Suppose -5*c - 55 = -25. What is d(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**3*u**3*x - m**3*u**2 - 1915985*m**3*x**2 + 76*m**3*x + 2*m*u**3*x**2 - u**3*x + 704*u**3 wrt x?\nAnswer: -3831970*m**3 + 4*m*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 213 and 5?\nAnswer: 1065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = q - 12, y - 5*y + 8 = 4*q. Solve 4 = q*w - 3*w - 4*n, -4*n = 3*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 + 34. List the prime factors of d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40106933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = u - 68 + 94, -2*u + 26 = -3*m for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y + 4*c + 538 - 606 = 0, 5*c = y - 5 + 90 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 135.06+-14924216.22\nAnswer: -14924081.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 631*d**2 - 185*d**2 - d + d**3 - 63 + 30 + 188*d**2 + 35 in the form y*d**2 + w + s*d**3 + x*d and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 5*w**2 + w + 2. Let r be h(5). Let y be (0 + 300\/14)*r. Suppose o = 5*s - 186, -s + 5*s - 2*o = y. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 119*d**2 + 286*d + 4301. Calculate b(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10599 is divided by 171.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2811 or 0.145?\nAnswer: -2811","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6111 + -1435?\nAnswer: 4676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2010.\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24313*j**2 - 24319*j**2 + 48547*j**2.\nAnswer: -85*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.186 to 0 decimal places.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 - 80. Let u = -40.999999987 + f. Round u to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 23, 5 in decreasing order.\nAnswer: 23, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-1)\/5418)\/((-21)\/18908541). Let b = -8004\/49 + h. Let r = b - -14\/43. What is the common denominator of r and 71\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*p**5 + 2928*p**4 + 1607472*p**3 + 392223168*p**2 + 35888419872*p = 0. Calculate p.\nAnswer: -366, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5677*w - 10 + 10.\nAnswer: -5677*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166331.\nAnswer: 11, 15121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mn when two letters picked without replacement from mmnmnnmnmmnmnn.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19697 and 0.5.\nAnswer: 9848.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -12 - (-1 - (1 + 3))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and -1158605269844.\nAnswer: -1158605269848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.017823230688 to 5 dps.\nAnswer: 0.01782","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 185\/721 - -3\/103. What is the third biggest value in -2, j, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 2:07 AM?\nAnswer: 6:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6629 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.94 and 10611118?\nAnswer: 10611121.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*d - 7*d - 2*d)*(-4 + 2 + 4) in the form s + a*d and give a.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 8*u + 7. What is s(2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 3650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11712*a**2 + 137.\nAnswer: -23424*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of w**5\/30 - w**4\/6 - w**3\/2 - 8*w**2. What are the prime factors of b(-4)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o + 2*t - 36, -2*o + 18 + 6 = 5*t. Suppose 0 = -7*k + 694 - 1. Let c = k + -87. Is c less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 363378 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n - 4. Let u be r(-4). Let z be u\/14 + 24\/14. What is the second derivative of v**2 - 4*v**2 + 5*v**z - v**2 - 2*v wrt v?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-2*sqrt(400))\/sqrt(8) + 1)**2.\nAnswer: -80*sqrt(2) + 3201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24263*j + 24251*j - 48519*j.\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 1151605383?\nAnswer: 1151605381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - y + 4921 = -2918, -3*j = -3*y - 5898. Which is smaller: j or 1958?\nAnswer: 1958","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 340055834?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 - 11*b + 22. Let n be f(3). Let x be (-3)\/n - ((-35)\/14 + 2). Factor -4*q**x - 18\/5*q - 6\/5*q**3 - 4\/5.\nAnswer: -2*(q + 1)*(q + 2)*(3*q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -98, 9, 3.\nAnswer: -98, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 3\/2, 132548, 3, -5, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 6*o - 2. Let w be y(-7). Let p(m) be the first derivative of 3*m**2\/2 - 3*m - 3. Calculate p(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.176 rounded to 1 decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = -19*k + 57250. List the prime factors of k.\nAnswer: 2, 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -93144 (base 12) to base 4.\nAnswer: -232320010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 39*p**2 + 39*p - 33. Let b be l(38). Is b > 61\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -100*h**2*j + 70268*h*j + 119*j - 39 wrt h?\nAnswer: -200*h*j + 70268*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 3*q + 3*y - 21, 4*q - 3*y = 39. Calculate the greatest common factor of 30 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/21603313?\nAnswer: -2\/21603313","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a second in milliseconds?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1148 + -8*1\/2. Let m = 1651 - f. List the prime factors of m.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19107 + 19107 + 2*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -142 + -0.4687.\nAnswer: -142.4687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -170021 + 62?\nAnswer: -167737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Put 513685, -4, 19 in decreasing order.\nAnswer: 513685, 19, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/15 + 7062\/990?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100010011000111000 + 101?\nAnswer: -1100010011000110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 518322 divided by 147.\nAnswer: 3526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*(y*y*y\/(y**7\/y*y))\/y)*y**(-6))**(2\/15) assuming y is positive.\nAnswer: y**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 4*r - 4*c + 21, -r - 5*c + 12 = 0. Let k(z) = 4 - 14*z - 3 + 5 - 2. What is the remainder when k(r) is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 511666 (base 11) to base 10\nAnswer: 822025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, e: 1, h: 4, a: 3, s: 4}. Give prob of sequence sea.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2. Let b be y(0). Suppose b = 2*j + 3*j + 2*q - 116, j = 5*q + 34. Let l = -11 + j. Calculate the greatest common divisor of l and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0 = 8. Let v be 1*-1*(7 - z). Let q = v - -15. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -7. Let l(a) = 14*a + 2. Is l(d) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 11*s - 6. Let d(u) = 1232*u**2 + 5*u + 5. What is the thousands digit of d(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -s**6\/240 + s**5\/20 - s**4\/4 - s**3\/6 - 5*s**2. Let x(o) be the first derivative of g(o). Factor x(q).\nAnswer: -3*(q - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 - 5315acc?\nAnswer: -5315acd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21 and 731290.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, k: 1, j: 3}. What is prob of picking 2 j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5007702 or -5007692?\nAnswer: -5007702","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11) - (-3 + sqrt(275)))**2.\nAnswer: -1110 + 144*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and 5381.62879.\nAnswer: 5383.62879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x*x\/(x**(-6)\/x*x)*x))*x*x**6*(x*x*x**(1\/5))\/(((x**(-6)*x)\/x*x*x)\/x))\/((x**(1\/3))**19*(x**(-2\/7))**(-31)) assuming x is positive.\nAnswer: x**(736\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -4*u - 14. Determine i(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*c**2 - 336858*c + 67372 = 0. Calculate c.\nAnswer: -33686, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5428 - -1338?\nAnswer: 6767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 1008*c + 17428. Let u be s(17). Suppose -2*b**5 - 2\/5*b**u + 34\/5*b**2 - 34\/5*b**4 + 12\/5*b + 0 = 0. Calculate b.\nAnswer: -3, -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 78 in 2\/3, -7, 0, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/46240 and 17\/320.\nAnswer: 92480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n - 8 + 40851*n**2 - 40850*n**2 - 2. Give g(-10).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 + 5*h - 23. Let q be s(-8). Suppose -3*k + 7*v - 5*v = -q, -k + 7 = v. Solve 5*t - 40 = k*p, 5*p - 5*t + 50 = -0*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.03 (b) -376 (c) -3 (d) -63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/3))**(1\/2)\/(x**(1\/2))**(-16\/9))**(-45))**(-19) assuming x is positive.\nAnswer: x**(1235\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*z**3 - 447946*z**2 + 194031 wrt z?\nAnswer: 6*z**2 - 895892*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1551 + 1483.3. Let f = -65 - r. Let w = 3.2 - f. Which is the closest to 5? (a) -0.3 (b) w (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 777\/254 or 2?\nAnswer: 777\/254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**7\/1680 - a**5\/20 + 2*a**2. Let q(r) be the third derivative of t(r). Let v(s) = -3*s**2. Calculate q(v(b)).\nAnswer: -9*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5334743, 0.1, -2\/15, -3 in decreasing order.\nAnswer: 5334743, 0.1, -2\/15, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4290)\/156)\/55*6\/5*15?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a + 7. Let n be p(-3). Let u be ((-15)\/30)\/(n\/(-28)). Let m(b) = 3*b**3 + 2*b**2 - b - 7. Let i be m(0). Do i and u have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 72*k**2 + 13*k + 13. Let a(z) = -36*z**2 - 158*z + 50*z + 52*z + 50*z - 6. Calculate -13*a(o) - 6*r(o).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of 0*a**2 + 0 + 1\/3*a**3 + 11*a. Let c(s) = s**2 - 2. Let u(l) = -5*l**2 + 11. Let p(r) = 11*c(r) + 2*u(r). Determine p(n(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rre when three letters picked without replacement from rrheeerr.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*w + 226*w - 159*w.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -4, -22, -19, 2 in descending order.\nAnswer: 2, -4, -19, -22, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7426750*k**3 - 18593514*k**2 wrt k.\nAnswer: 44560500","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccrcctrcnrttctccccn. Give prob of sequence tc.\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 6:19 PM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30919478 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(2 + 129\/(-60)). Let u = -314 - -322. Which is the third smallest value? (a) h (b) -1\/9 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5460 to the nearest one hundred.\nAnswer: 5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a decade in months?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64658284 to the power of 1\/3, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 1, 4 in decreasing order.\nAnswer: 4, 1, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*u - 238 = 39*u. Suppose -9*y + 205 + u = 0. Solve 7*c - y = -15 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-51 - -46) + 6 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 1495832 = -161*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 221 and 2176?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 3*m + 26 - 29 = 0, 2*m = -2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*w - 9 = 0, 2*w = q + 4*w - 24. Let u = q + -4. Calculate the greatest common factor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 144674, 289273, 433872, 578471, 723070, 867669?\n\"Answer: 144599*m + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*v - 32*v - 34391 = 0. Let x = 30361\/15 + v. Suppose 2\/5*k**5 - 4\/5*k**2 - x*k**3 + 4\/15 + 2\/3*k + 8\/15*k**4 = 0. What is k?\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of -193*g**6\/720 + 23*g**5\/12 + 7*g**4\/4 - g**3\/3 + 171*g. Let n(a) be the third derivative of b(a). Differentiate n(i) wrt i.\nAnswer: -193","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10645 - 10640. Sort h, -1576, 1 in decreasing order.\nAnswer: h, 1, -1576","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3853260 by 1284420.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -42\/11, 74, 3.\nAnswer: -4, -42\/11, -3, 3, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 58006 and 115?\nAnswer: 290030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.04, 1\/3, 33 in increasing order.\nAnswer: 0.04, 1\/3, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - 64.2125?\nAnswer: -69.2125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((-170)\/(-20) - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1242510 and 63?\nAnswer: 26092710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 8*l**3 + 6*l + 6. Let v = -12 + 25. Let g = -8 + v. Let f(w) = 5*w - 2 + 7 + 7*w**3 + 0*w. Give g*j(k) - 6*f(k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*t + 14802 - 14742 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 518.544353 to 0 decimal places.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 565 to the power of 1\/2, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**3 - 6*z + 3*z**2 - 8 + 4*z + 4*z**2. List the prime factors of x(-7).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 7092\/4667?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*k**3 + 0*k**3 - k**3)*(8*k + 45*k - 106*k + (2*k + 0*k - 4*k)*(-1 + 5 + 0) - 4*k + 4*k + 4*k) as y*k**4 + q*k + m*k**3 + h + n*k**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 619353470?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3204, 0, 24 in descending order.\nAnswer: 3204, 24, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**3 + 55*w**2 - 5*w + 301. What is the thousands digit of z(-40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4 (b) 2.7 (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 752801?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 4:32 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**3 - 4158*a**2 + 57771*a - 201684 = 0. Calculate a.\nAnswer: 7, 1372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n - 5*c + 25804 = 0, -5*c + 6451 = n. Suppose 10753 = 5*p + 3*y, 2*p - 5*p = 2*y - n. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.308866*-0.6\nAnswer: 0.1853196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + -63. Let o = w - -61. Let y be (-4)\/(-40) - (-1)\/(-2). What is the nearest to -2 in y, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 54*12254\nAnswer: 661716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -175 - -3?\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5567971 rounded to 1 dp?\nAnswer: 3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 83222786077 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 8. What is the closest to -2\/3 in y, 16, -4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**3 + 716*w**2 - 511395*w + 510678 = 0. Calculate w.\nAnswer: -1158, 1, 441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -158480853 - -3?\nAnswer: -158480850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1. Let b(x) be the first derivative of -33*x**2\/2 - 33*x - 583. Calculate -b(l) + 33*j(l).\nAnswer: 33*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(125))*2 - (-5 + (sqrt(125) + -3)**2) - (-5*((sqrt(125) + 3*sqrt(125) - sqrt(125)) + 0 + 4))**2.\nAnswer: -28652 - 2960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1682*t**4 + 5044*t + 878*t - 236*t**3 + 235*t**3 wrt t.\nAnswer: 20184*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + s = -962, 2406 = 31*b - 26*b - 3*s. Calculate the remainder when b is divided by 83.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/2 of a tonne?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -19770 at least 27\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 25 = 0, 0 = y + 4*y + 2*g + 35. Calculate the common denominator of 1\/3 - y\/9 and 2\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1.84386ug?\nAnswer: 0.00184386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 5*b = -2642, b - 894 = -4*t + 3*t. Let u = -584 + t. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20*3\/(-144)*3\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -82 - -91. Calculate the remainder when 52 is divided by w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -49, 161 in decreasing order.\nAnswer: 161, 27, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nqq when three letters picked without replacement from nqqnqqqqqnqnqn.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*s + 5*v - 17, 2*s - 5*v = 5. Solve -i = -s*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7302 + 2)\/(9\/18). Round i to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f - 5*f. Suppose -2*s - 2*x + 8 = 0, f = -3*x + 3 + 3. Let p be 1\/s + 123\/6. Calculate the greatest common factor of p and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -187552 + 2*u - 5*u + 187552.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 2:47 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 6 = -6. Suppose -5*l + 43 = -2*x, -n*l + 0*x = x - 37. Let r = l - 2. Calculate the greatest common divisor of r and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 726, 5992, 20320, 48252, 94330, 163096, 259092, 386860?\n\"Answer: 757*h**3 - 11*h**2 - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(4\/9)\/a**(3\/5)*a\/(a\/a**(-1\/3))*a\/(a**(5\/3)\/a) assuming a is positive.\nAnswer: a**(-7\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -590\/3, -0.1, -1, 305 in increasing order.\nAnswer: -590\/3, -1, -0.1, 305","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9603179327373 and 5?\nAnswer: 9603179327378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 132102450 (base 6) in base 7?\nAnswer: 31164513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33218?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -303 (b) -0.4 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 19496*j - 2651452. Determine q(136).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 282\/42 + (-6)\/(-21). Let p be -1 - -3 - (2 + c). List the prime factors of 3 - 2\/(p\/((-343)\/(-2))).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 1 + (sqrt(2736) + sqrt(2736) + (-1 + sqrt(2736) - sqrt(2736)) - sqrt(2736))**2 + (sqrt(19) + sqrt(133)\/sqrt(28))**2 + sqrt(19).\nAnswer: -23*sqrt(19) + 11131\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/48 and -145\/1308.\nAnswer: 5232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 82*r - 72.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of 2*k**3 + 2. Let a(l) = -153*l + 150. Let q(p) = 5457*p - 5355. Let y(r) = 357*a(r) + 10*q(r). Give g(y(h)).\nAnswer: 15606*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(-135)*33 - 2\/10. Let l(q) = 2*q**k + 108 - 108. Let p(m) = -186*m. What is p(l(o))?\nAnswer: -372*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(2\/5))**(-1\/60)*((g\/(g*g**(-2)))\/g)**(3\/14) assuming g is positive.\nAnswer: g**(401\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 271777.1 days in weeks?\nAnswer: 38825.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 653544497 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10011 (base 2) to base 12\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/3))**50*(n**(-16)\/n)\/n**3 assuming n is positive.\nAnswer: n**(-110\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*k**3 + 45*k**3 - 79*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.1. Let k be 2*(-5)\/(-3) + -2. Let p = -348 - -347. Which is the biggest value? (a) p (b) k (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 - (-6 - (-6 + (-6 - (-13 - -5))))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*f - 6*f - 13*f**2 - 4*f wrt f.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 9) to base 10\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-16))\/((-14)\/(-16)). Let n = 11 - 45\/4. Which is smaller: n or i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2057 (base 11) in base 12?\nAnswer: 16b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x**2 - x**2 + 2*x**2 + (-2*x + 2*x + 3*x)*(2*x - 6*x + 2*x) - 2*x**2 + 3*x**2 + x**2 in the form u + i*x + k*x**2 and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(104)*-2 + sqrt(104) + sqrt(104))\/sqrt(8))*-2 + 0.\nAnswer: -2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -433 in 0.1, 46, 0.23, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 401\/(8\/10 - -1). Let q = -223 + j. Let t = -3 + -1. What is the second smallest value in t, -0.4, q?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2558716177 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 10305686 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 57*f - 602. Let y be r(-14). Let m(g) be the first derivative of -1\/2*g**2 + 13 + y*g. Give m(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*u**4 - 10*u - 36*u**4 + 11*u + 2 to the form d*u**3 + f*u + r*u**4 + p*u**2 + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 91 (base 15) to base 8\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*m = -341, m = -3*m + 12. Let j = x - 63. Calculate the highest common divisor of 78 and j.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p - 12. Let n be u(-11). Which is smaller: n or -0.19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781.\nAnswer: 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*n**3 - 47*n**3 + 316*n**3 + 26*n**3 - 2*n**2 - 41*n**3.\nAnswer: 245*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-304)\/38 + (-260)\/(-1) and 252.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, 300\/13, -1\/8, 3\/4, 1\/6, 1\/11?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455*z - 1218*z + 366*z + 405*z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 25. Let v = 7 - g. Let n(m) = m**2 - 3*m - 9. Is n(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-10 - (-3 - -6 - 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/2)\/(1\/(-2)). Suppose -v + 1 + p = -2*r, -5*v - 5*r = 0. Solve v*a - 4 + 14 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - 5*h**2 + 6*h + 4. Let s be a(-6). Suppose s*n - 20 = 6*n. Let u = n - -12. Solve 3 = l - u*i + 1, 2*i = -2 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 70\/(-21)*48\/(-10). Suppose -3*q = -q - 12. Let m = x - q. What is the highest common divisor of m and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79300.14 kilograms in milligrams?\nAnswer: 79300140000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 u when two letters picked without replacement from pusus.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 36526704 (base 8) in base 16?\nAnswer: 7aadc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1*9\/(-6))\/(30\/(-1640) + 0). Solve -3*z = -r + 88 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 882*l - 48 + 21 + 20 + 7.\nAnswer: 882*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/49218 and -53\/6816693.\nAnswer: 13633386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4*-18*1\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -525059 + 18*z**2 + 5*z + 6*z**3 + 525059.\nAnswer: 6*z**3 + 18*z**2 + 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1125523 (base 7) to base 3\nAnswer: 21011201221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5779 - -510.\nAnswer: -5269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02890795 to 5 decimal places.\nAnswer: -0.02891","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13184, -52688, -118526, -210698, -329204, -474044, -645218?\nAnswer: -842726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(2\/5))**(-50)*(g*g**(1\/3)*g)**(2\/97) assuming g is positive.\nAnswer: g**(-5806\/291)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9336132 by 36.\nAnswer: -259337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 3*z + 21 = 2*s, 0 = -3*s + 5*z - 34 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uhh when three letters picked without replacement from {u: 1, h: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -415*f - 1005 - 2014 - 716 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(192) - -3*sqrt(192)) + sqrt(192))*-6*-3*3*3.\nAnswer: -19440*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 0*u - 238. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 11:14 AM?\nAnswer: 12:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -3*z + 12. Let m(q) be the third derivative of -q**4\/12 + q**3 - q**2. What is the least common multiple of m(z) and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 5)*(-1340 + 833 + 2855)*(4*x + 0*x - x) in the form l*x + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90013382?\nAnswer: 2, 349, 128959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.43 + 5.43. Which is the fourth smallest value? (a) -2 (b) -1\/21 (c) l (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x + 1 + 3*x - x + (0 - 5 + 3)*(-4*x + 5*x + 0*x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2584 in 1, -3, -0.5, 5, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 0*f**4 + 75*f**2 + 2*f**4 - 77*f**2 - 3*f**4 + 5*f**3 to v*f + k*f**2 + s*f**4 + j*f**3 + q and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9384 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -3*v**3 - 81*v**2 - 603*v - 19264. Calculate j(-28).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 1:51 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 3*s + 4 = 0, 58*b + 3*s = 60*b - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 c when three letters picked without replacement from ommmceeccccocbcebmo.\nAnswer: 21\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -14*i + 2. Let v be k(-6). Let d = v + -23. What is the remainder when d is divided by 23?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 13\/8 of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 51\/4 of a millennium?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-91*s - 58*s + 24*s)*(8*s - 5 + 5) to q*s**2 + v + i*s and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/13 - 90782*r\/13 + 181572\/13.\nAnswer: -2*(r - 2)*(r + 45393)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6390 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -3*k + 40. Let m be (-30)\/(-9) + (-1)\/3. Suppose -l + k = -s - 10, m*l + 2*s = 21. Calculate the remainder when 16 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -224*d**2 - 222*d**2 + 3 + 477*d**2 + 304*d**2 + 457*d**2 in the form s*d**2 + b + u*d and give s.\nAnswer: 792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/22? (a) 0.07 (b) 7 (c) -5 (d) 0 (e) 1.67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/44*(0 + (0 - 4382)). Suppose 0 = -5*u + u + 792. Let g = u + q. Find the common denominator of g and -59\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 18. Let d be (b - 7300003) + 0 + -2. Round d to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35755 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476 is divided by 227?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 362 a factor of 2155356130?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 500.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1\/2, -0.1, -1\/6, -6\/13 in descending order.\nAnswer: 3, 1\/2, -0.1, -1\/6, -6\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79800982?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 17\/10 of a tonne?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of -23*f**6\/10 - 71*f**3\/6 + 8*f + 2. Find the second derivative of a(y) wrt y.\nAnswer: -828*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -751*t**7\/21 + t**3 - t**2\/2 + 305*t - 1. Find the second derivative of d(j) wrt j.\nAnswer: -30040*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a day in seconds?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = t - 15, 2*t - 5 = 2*n + 1. Suppose -4*d = -4*h + 3*h - 13, 0 = -4*d + 16. Let k = 3 - h. Solve 5*b - 14 = -2*l, -n*b + k*l + 14 = -2*l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2676*z + 1339*z + 1336*z. Let l(k) = k. Let f(m) = 2*m. Let p(b) = f(b) - 6*l(b). Determine p(g(d)).\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (167 - 163 - (-3 - 0 - 7)) + 3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2 + 3*u. Let r = 0 - -2. Let g(p) = -p + 0*p + 2*p + 6*p + 2*p**2. Determine r*g(h) - 5*f(h).\nAnswer: -h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 976 and 17402324.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of -t**4\/12 + 8*t. Let n(g) = 15*g. Determine u(n(v)).\nAnswer: -225*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -4\/3 (c) -0.8 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 5\/179, 2\/93, -0.1 in ascending order.\nAnswer: -0.1, 2\/93, 5\/179, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 87266750 to the power of 1\/3, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -21*x + 7. Let q(c) = -41*c + 15. Let s(m) = 5*k(m) - 2*q(m). Is s(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 64.\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -487\/60 - -41\/5. Suppose -3*z + o = 3*o + 14, -18 = 5*z + 2*o. Find the common denominator of (-708)\/18*z\/(-24) and f.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0026792 and 0.09.\nAnswer: 0.0926792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 815151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1440926257 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -48 + 50. Suppose -j - 3*i = -55, -s*i - 11 - 67 = -2*j. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -6. Let n(b) = 2*b**2 - 3*b - 6. Let j be n(x). Is (j\/4)\/(2\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - 2 - -5)\/(2\/8). Let q(d) = d - 1. Determine q(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + 133. Let g = -17 - -17. Suppose 4*f + 4*y - 48 = g, -3*f = 5*y - 12 - 16. What is the highest common divisor of f and l?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 41 = -3*v + 17, 112 = 4*v - 2*z. Suppose -3*c - 2*i + 371 = -3*i, -4*c + 484 = 4*i. Calculate the remainder when c is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/195833?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 17 + (-1 + 4 - 5)*(-1 - 5 + 5) - 2 - 4 + 1)*(b**2 + b**2 - 5*b + 3*b) to the form t*b**2 + g*b + j and give t.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39338 and 534.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -383\/7 + 129\/14. Suppose 3 = v, o + 3*v + 2*v - 18 = 0. What is the common denominator of (-15)\/(-6) - (o - 0) and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 15*g - 10. What is the units digit of a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o**3 - 2*o**2 + o. Let d be t(1). Suppose -5*n + 78 = -d*n. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*1.71\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008616533142 to 6 decimal places.\nAnswer: -0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -13*i**2 - 5*i + 6. Let v(a) = a**2 + a. Let h(p) = s(p) + 5*v(p). Let y = 10 + -17. Let d(t) = -9*t**2 + 7. Calculate y*h(m) + 6*d(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/76907 and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 94548 to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of -2*d**2 - 51. Let o(t) = 21*t**2. Determine o(n(z)).\nAnswer: 336*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 260258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:39 PM and 3:14 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 59114\/18809*84\/22\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7077 times 1\nAnswer: -7077","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 41 = -3*t. What is the second derivative of 5*j + 2*j**3 - t*j - 2*j**3 - 3*j**3 wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 652\/16 + (-1)\/(-4). Suppose 4*g = 27 + o. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -613364 (base 7) in base 2?\nAnswer: -11001100000010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2181970 a multiple of 73?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -32*w + 24. Give p(-3).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18785326?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.75 - -0.25. Let t = 7 - m. Suppose -7 = 3*d - 22. Which is the closest to 1? (a) d (b) t (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*2*(2 + (sqrt(84) - 1*sqrt(84)*-4)\/sqrt(12) + -2) + -4.\nAnswer: -6 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-3 + sqrt(125) + 4) + -5 - (4 + 2*(0 + sqrt(125) + -1)))**2.\nAnswer: -60*sqrt(5) + 1129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 20856*y - 166915. Calculate r(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c + 3. Let m(a) = -a**3 + 9*a**2 - 8*a + 5. Let r be m(8). Let j(q) = -2*q - 2. Calculate r*s(y) + 6*j(y).\nAnswer: -2*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 19 + 1)*(-2 - 1 + 5)*(-3*k - 2 + 2) - 162 + 49*k + 162 to z + y*k and give y.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 51 = -r + 2*s, 5*s = 2*r + 69. Let m be (-154)\/r + 3\/(-1). Suppose m*i**2 + 0 + 4*i**4 - 5\/3*i**5 - 3*i**3 + 0*i = 0. What is i?\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.171 + -0.3.\nAnswer: -11.471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 28043 or 28033?\nAnswer: 28043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2511, 2580, 2645, 2706?\n\"Answer: -2*j**2 + 75*j + 2438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 17 - ((-2 - 5) + (-16 - (-27 + 7)))\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -7*p + 288. Let c be h(41). Is c not equal to 2\/413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 17772\/27 + (-6)\/27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2.231 from 79962.\nAnswer: 79964.231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 315925?\nAnswer: 1\/63185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26 + -31800?\nAnswer: -31774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -12, 22*s = -d + 23*s + 548. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 1947854?\nAnswer: 9739270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**0)**19*w**9*w\/w**(-2\/13)*((w**(1\/3))**(-38))**29 assuming w is positive.\nAnswer: w**(-13189\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2735, -5470, -8231, -11030, -13879, -16790, -19775, -22846?\nAnswer: -26015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 2*t - 12 = 0, 0*k + 3*k - 2*t = 20. Suppose -k = x - 6. Solve -x*d - 2*n + n + 4 = 0, 16 = -4*n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -4*v + o - 6, -4*o + 14 = 2*v. Let f = 440\/3 - 148. What is the closest to 1 in v, f, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75 - -92) + (1 - 11) + 8?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 9:28 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6834 or 21112?\nAnswer: 6834","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29110703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 115*a**2 - 72*a + 6. Let d(g) be the second derivative of -g**2\/2 - 8*g. Let y(m) = -6*d(m) - j(m). What is the second derivative of y(o) wrt o?\nAnswer: -230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 44300717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -5*b**3 + 1505*b**2 + 12300*b + 18540 = 0.\nAnswer: -6, -2, 309","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4165306741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, v: 4, h: 4}. Give prob of sequence vv.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 48994581 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 95 + -15. Suppose 0 = -b + 3*t - 3, 0*b + 5*t = b + 5. Suppose b = 2*d + 2*d - z. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.437144 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 37. Let b be 1 - (-3 + d\/(-1)). Let c(l) = 4 - 3 - 3 - 5 + l. What is c(b)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11010001011100001010010000 + -1100?\nAnswer: -11010001011100001010011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 167*c + 4046. What is the remainder when 40 is divided by f(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 2*w + 9031*z = -2*w + 9027*z - 298, 0 = -w + 9*z + 682 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1574*k**3*t**5 + 2*k**3*t**4 - 25*k**3*t**2 - 55*k*t**2 wrt t.\nAnswer: 94440*k**3*t**2 + 48*k**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 4 + 2 + (0 + 0 + 1)*(0 - 7 + 3))*(-k + 2*k**2 + 0 + 0) to r*k + y + w*k**2 and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(11)*-2 - (sqrt(11) - (sqrt(704) + sqrt(704)*3)))**2.\nAnswer: -116*sqrt(11) + 9255","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 2109303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115364 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i**3 + 3*i**3 + 3*i**3 + (-5*i**2 - i**2 + 4*i**2)*(6*i + i + 2*i).\nAnswer: -14*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 6:26 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 14*r + 7407517, 3*z - 648439 = r + 6759013. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*v - 2 + 2)*(-3 + 0 + 2)*(-53*v**2 - 20*v**2 - 17*v**2 - 4*v**2).\nAnswer: 470*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2 - (0 + -2)*42. Let u = k - 12. What is the remainder when u is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 2, k: 3}. What is prob of picking 1 k and 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 15 + 16?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 + -16. Suppose 0 = -j*i + 11*i - 4. What is the lowest common multiple of 8 and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25714 and 47840?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/55 + (-172)\/22. Let v be 5 + (w - -2) + 4. Suppose 0 = -v*q - 5*z + 89, 3*q - 53 + 0 = 4*z. What is the remainder when q is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(80) + -5.\nAnswer: -5 + 4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 5*x + 12. Let b(o) = -4*o - 11. Let u = -1075 + 1072. Determine u*a(i) - 4*b(i).\nAnswer: i + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 2*b - 14858*b**2 - 95788*b**2.\nAnswer: -110646*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -2.7. Let d = -13 + 12. Let y = -0.11 - -4.11. Which is the biggest value? (a) y (b) u (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6108 - -6120. Let w(a) be the third derivative of -1\/24*a**4 + 0*a + 0*a**3 + b*a**2 + 0. Let c(d) = -14*d. Calculate w(c(j)).\nAnswer: 14*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (1506\/(-1255))\/(6\/(-10))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -10. Let p = -0.0481 - -220.0481. Let u = -221 + p. Which is the biggest value? (a) u (b) 0.2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1497?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 - -55.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(-1) + 18\/(-16). Which is the closest to -0.1? (a) 3\/2 (b) 1 (c) 2\/11 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 + -3. Suppose 2*l + 17 = -3*h, c = -5*h + l + l. Calculate the remainder when 34 is divided by (-50)\/h + 1*2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -9\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1707666354?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -231 + 226. Which is the third smallest value? (a) -1 (b) 4 (c) k (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a**4 + 414460*a**3 - 577455*a**2 - 45422080*a + 18234700 = 0 for a.\nAnswer: -10, 2\/5, 11, 16577","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 - 13*n**2 - 24*n. Let k be r(-10). Let w be 10*(k\/48 - (-2)\/8). Let t = 5 - 5. Sort t, 1, w in descending order.\nAnswer: 1, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 354521 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -12805 (base 9) to base 6\nAnswer: -104052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21415459 is divided by 110.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62175.\nAnswer: 3, 5, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -3*g**3 - 130 + 59 + 38. Let d(o) = 23*o**2. Calculate d(k(n)).\nAnswer: 1863*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnnvnvveea. What is prob of picking 2 v?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/14927325 and 61\/910?\nAnswer: 388110450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-2))\/(24\/32). Suppose 5*i + a*b - 9 = -0, 0 = -3*b - 9. Solve -2*n = -3*q + 6, i*n + 3*q - 2 = 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 373 is divided by 101.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 35*u**2 + 2*u. Let r be f(-2). Let m = 301 - r. Is m a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + z + 14 = 0, -3*v + 3*z - 6*z = -12. Suppose -2*u - 50 = -v*d, 8*d + 2*u = 3*d + 62. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -3002.\nAnswer: 1\/3002","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10ba14 (base 16) to base 5.\nAnswer: -240034322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/5*260\/16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + m**2 - m**2 - m)*(0*m**2 - 3*m + 4*m + 2*m**2).\nAnswer: 4*m**4 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hmqgmh. What is prob of picking 1 m, 1 q, and 1 g?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 49*s + 1 + 7347*s**3 - 3676*s**3 - 3675*s**3 + (-2*s - s**2 + 2*s)*(3*s + 3*s - 4*s).\nAnswer: -6*s**3 + 49*s + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1734279641 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (433 - 427 - 169*w - 4*w**2 + 168*w)*(6 - 4*w**2 - 6).\nAnswer: 16*w**4 + 4*w**3 - 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f**(-1\/12)*f)*f**(1\/5)*f)\/((f\/f**(2\/13))\/(f*f**(1\/3)))*(f*f\/(((f**(2\/7)*f)\/f)\/f*f)*f)**(2\/7)\/(f*f\/f**(-1\/2))**(-15) assuming f is positive.\nAnswer: f**(1530559\/38220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g + 2*r - 19, 2*g + 3*r - 16 = 0. Suppose g*v - 56 = 669. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3e8 (base 15) in base 4?\nAnswer: -31331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5*i - 29, z = -z - i + 28. Suppose 115 = 5*a - 2*f - 3*f, -57 = -4*a - 3*f. Let y(h) = -z*h - a*h + 34*h. Let l(d) = 2*d**2. Give y(l(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 70 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*i = -4*i - 2. What is the nearest to 0.2 in -3, i, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6848, 13699, 20550?\nAnswer: 27401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 + 0.3. Let y = -2293 + 2298. What is the nearest to -0.2 in y, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74340 divided by 12?\nAnswer: -6195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 14, 85, 158, 233, 310?\n\"Answer: j**2 + 68*j - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svsps. What is prob of sequence vps?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -355. Suppose -b + a = 2*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 - 70\/6. Let p = j + 15. Let l(v) = 38*v - 9. Is l(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 997.\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -1185*q**3 - 3682*q**2 + 5464*q + 4928 = 0?\nAnswer: -4, -2\/3, 616\/395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -8. Let q(c) = c + 7. What is q(s)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 975590.\nAnswer: 2, 5, 7, 11, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58575.\nAnswer: 3, 5, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1452217 - 1?\nAnswer: -1452218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - -2)*-82 - -2*2. Suppose 2162 = 3*i - o, 5*o = -3*i + p + 1672. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h*k**3*q**3 + 4*h - 74*k**2*q**3 + 24*q**3 wrt k?\nAnswer: -3*h*k**2*q**3 - 148*k*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/36 - 52\/9. Let t be (-40)\/w + (-4)\/6. Suppose 2*v - 24 = -2*a, 33 = 3*v + a - 3. What is the highest common divisor of v and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 313 = -3*r - 3*r + 349. Solve -r*t + 106 = 64 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, f: 6, g: 4}. Give prob of sequence frfg.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2166 and 33.\nAnswer: 23826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.88 (b) 1 (c) -0.05769\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 63\/(-28)*(-2236)\/3. Let x = q - 627. Is 46 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmmkmmn. Give prob of sequence mn.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*o**3 + 6115*o**2 + 14800*o + 4940.\nAnswer: -5*(o - 247)*(o + 2)*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 656, 647, 632, 611?\n\"Answer: -3*o**2 + 659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*w**2 + 5*w**2 + 0*w**2 - 4*w**2.\nAnswer: -7*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(5) + sqrt(45)\/sqrt(9))*6 + sqrt(5))**2*-6 + 4)*-6.\nAnswer: 30397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 176 - 173. Which is the second smallest value? (a) -2\/15 (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/57 and -149\/4758.\nAnswer: 90402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 234 + -234.183. Let m = -85.817 + q. What is the smallest value in -3\/2, m, -0.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -611622 (base 9) to base 6\nAnswer: -11432202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -515.962 less than -55.108413?\nAnswer: 460.853587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-56)\/(-6))\/(((-84)\/(-270))\/((-329)\/(-470)))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - 1\/((-2)\/4). Suppose -4*x = -3*k + 24, 0 = q*x + 10 + 2. Suppose 5*t - 41 = 9. Solve -2*u + k*u + t = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 18, f: 2}. What is prob of picking 2 f and 1 u?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 898 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a - 4*a = -16*a + c - 207, 0 = 3*a - 4*c - 7 + 32 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 3)*(-598*b + 1088*b + 1397*b)*(4 - 2 - 1) to c + l*b and give l.\nAnswer: -1887","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times 0.0038941?\nAnswer: -0.0272587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 + 34. Let k be t\/10 - 6\/15. Let x = -1.2 - -1. Which is the nearest to 0.1? (a) x (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2821781*k**3*v**2 + k*v**2 + 1871*k*v - 46*v**2 + 3*v - 1 wrt k?\nAnswer: 16930686*k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 373447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*y - 13*y + 5*h - 30, 0 = 14*y + h + 39 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 12. Let r be n(-4). What is the lowest common multiple of (-1 + 2)*224\/r and 114?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4085 - -87148?\nAnswer: 102244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31 and 10\/1830323?\nAnswer: 1830323","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11, 17, 4, 5, 3\/11?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 7:25 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -3*f + 505352. Let m(r) = -9*r. Determine m(a(t)).\nAnswer: 27*t - 4548168","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (28\/(-8))\/(-1) + 1\/(-2). Solve -4*v = 2*z - 10, -3*v = -2*v - b*z + 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.5 - 19.5. Let l = k - -19. Which is the nearest to 0? (a) -4 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -425880 divided by 5460?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 7 = -23. Suppose -4*j = -9*j - 70. Let s be (j\/t)\/(28\/(-112)). Let g(b) = -2*b + 3. Let v(x) = x**2 - 4*x + 7. Determine s*g(h) - 3*v(h).\nAnswer: -3*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a week in minutes?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of 2*b**3\/3 + 3*b**2\/2 + 4*b - 2. Let x(g) be the first derivative of -g**3\/3 - g**2\/2 - g + 1. Determine u(j) + 4*x(j).\nAnswer: -2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2584308*y. Let a(t) = -264*t**2. What is a(o(c))?\nAnswer: -1763163029460096*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 264*k + 23371. Calculate b(-90).\nAnswer: -389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 6*a**3 + 2*a**4 - 27*a**5 - 8*a**4 + 25*a**5.\nAnswer: -2*a**2*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3982 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -5, -241, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 11*w**2 - 5*w + 75. Calculate l(11).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 19 and -292\/15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -0.7. Which is the second smallest value? (a) -3 (b) v (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l)**42)**(-1\/19)*(l**(1\/4))**23*(l*l*l*l**1)**(-1\/6) assuming l is positive.\nAnswer: l**(151\/228)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 + 0 + -1*1. Let u be 3\/(-2)*176\/(-33). Suppose -u*f - f = -18. Put w, f, -5 in descending order.\nAnswer: f, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -4 + 1. Let o = -3 + 7. Let f be (-1)\/(-3)*(11 - (-72)\/(-9)). Solve o*v - b = f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31.0518 - -0.06\nAnswer: -30.9918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4\/4 + 3*z**3\/4 - 12*z**2 - 12*z = 0.\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13096, -13090, -13086, -13090, -13108, -13146, -13210, -13306?\nAnswer: -13440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 2:48 AM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.25197 rounded to 3 dps?\nAnswer: -0.252","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.17 + 6.17. Let j = -5.95 + f. Let s = j + -0.0500025. What is s rounded to six decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2b (base 12) to base 4.\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 518661?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(6))\/sqrt(2) + 0.\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135778, 4, -717 in decreasing order.\nAnswer: 135778, 4, -717","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -3*o - 20. Let y = 24 + o. What is the highest common divisor of y and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10\/903 - 2764\/231469. Let h = q - 113035\/9228. What is the common denominator of h and -26\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550668 is divided by 123.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 148 (base 16) to base 3\nAnswer: 110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2053724757?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110384 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*z**3 + 7*z**3 + 0*z**3.\nAnswer: 11*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(104)\/sqrt(8)*4)**2 + (2 + sqrt(832) + sqrt(1300)*1)**2.\nAnswer: 72*sqrt(13) + 9416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6964 (base 10) to base 3.\nAnswer: 100112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5911920 by -34776.\nAnswer: -170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -29*t + 1021. Let p be o(35). What is the nearest to p in -1, -3, -0.3, -14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9334 or -9471?\nAnswer: -9334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139609\/24996 + 4\/2083. Let d = 6 + -10. What is the common denominator of v and ((-99)\/(-162))\/(d\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 - 68126\/3542 - (-2)\/14?\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3\/5, 1\/7 in decreasing order.\nAnswer: 3\/5, 1\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v + 1. Let i be g(-1). Let y be i + 2 + (-3)\/(-1). Let d = 3 - y. Which is the third smallest value? (a) -0.2 (b) 0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3\/14 - -5\/7. Let d = 9 + -13. Which is the closest to y? (a) 2\/13 (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g**2 + g**2 - g**2)*(g + 2*g - 4*g)*(2 - 1 + 0).\nAnswer: 11*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + k = -581. Suppose p - 79 = -3*i + 495, p - 4*i = k. What are the prime factors of p?\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/5733 and -93\/1846.\nAnswer: 814086","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, n: 1, g: 3, w: 4, f: 7}. What is prob of picking 1 f, 1 i, 1 w, and 1 n?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*8\/704*60\/45?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o = -5*o - 23 - 152 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 3\/4, 0.1, 2.231 in decreasing order.\nAnswer: 2.231, 3\/4, 0.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 255 = 13*q - 96. Calculate the lowest common multiple of q and 33.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 844721897.\nAnswer: 23, 53, 692963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 168303 and 33.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.6 + -11.7. Let f(v) = 4*v. Let i be f(1). Which is the nearest to r? (a) 5 (b) -7 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.39155 rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 4*k - b = 6, -2 = -3*k + b. Solve -5*v = -k*j - 3*v + 14, -v = j - 1 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1.2, -2, 40.1, -3\/175, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 + 48 - 6*h**2 as c*h + q + y*h**2 and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (60\/(-2))\/(-2 - 4\/(-3)). Suppose -43*y - 128200 = -p*y. Round y to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2258273 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -5262910 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 3*y**2 - 5*y. Let z(t) = t**3 - 13*t**2 + 12*t + 4. Let c be z(12). What is q(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -48 - 51 + 551*g**2 + g**3 - 268*g**2 - 52 + 356*g**2 wrt g?\nAnswer: 3*g**2 + 1278*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 441 - 432. What is the second derivative of -o**3 + d*o - 192*o - 3*o**3 + 4*o - 3*o**4 wrt o?\nAnswer: -36*o**2 - 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10336\/380 + -20)\/(6\/(-20))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c + 4. Let y = 1 + 4. Let s be g(y). Let u be 15*(0 + s\/(-3)). Solve 0 = 4*t - 0*n - 3*n + 9, -u*n = -5*t - 10 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6b (base 15) to base 6\nAnswer: -245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**6\/240 - 7*a**5\/120 - 7*a**4\/12 + 4*a. Let r(s) be the third derivative of q(s). Differentiate r(m) with respect to m.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*l - 408 = -114*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 26. Let p = 4 + u. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**3\/4 - 8520*w**2 + 58171707*w\/4 = 0. What is w?\nAnswer: -12867, 0, 1507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -482, -1886, -4190, -7364, -11378, -16202, -21806?\n\"Answer: 5*i**3 - 480*i**2 + i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 3*o**2. Let z(t) = -48*t**2. Let r(a) = k(a) - z(a). Let m(f) = 2*f. What is m(r(j))?\nAnswer: 102*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 30*r - 2 + 6 + 13*r**2 + 0 + 4. Let w be k(15). What is the greatest common divisor of 40 and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1294667 or -16830673\/13?\nAnswer: -16830673\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 4. Suppose 2*g + 400 = 4*i, -i + l*g - 7*g + 78 = 0. Let q be i\/21 - (-1)\/3. Is q at least as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 6:04 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r**2 - 10*r + 6. Let f be a(-4). Let n be 5 - f\/48*-12. What is the nearest to -1\/4 in 17, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**4 + j**4 + 2*j**4 + 5*j - 4*j - 2*j**3 to m*j + r*j**4 + p*j**3 + b*j**2 + q and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9231, -9888, -10545, -11202, -11859, -12516?\nAnswer: -13173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 1. Let a(c) = c - 4. Let g(y) = y. Let h(s) = -a(s) + 6*g(s). Give h(b) - 6*m(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 320 and 110380?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23.2 - 23.707. Let n = b - 0.103. Let y = n + -0.69. Round y to 1 dp.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 260.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + m + 8, q - 1 = m + 2. Let b(u) = 3. Let s(c) = -c**2 - 1. Calculate q*b(x) - 3*s(x).\nAnswer: 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 3:10 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13a701 (base 11) to base 14.\nAnswer: -59c04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262, -550, -838, -1126, -1414, -1702?\nAnswer: -1990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -5*z - 35 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 385017 divided by -4\nAnswer: -385017\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145 - 129*p - 447 + 147 - 104*p + 155.\nAnswer: -233*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b*(b\/b**(2\/3))\/b)*b**22)\/((b**(1\/3)*b*b)\/b*b*b**(-2\/7)) assuming b is positive.\nAnswer: b**(412\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1508 (base 11) in base 13?\nAnswer: b67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1136335 (base 7) to base 13.\nAnswer: 50656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -26*x**2 - 7*x + 601. Let t(o) = -19*o**2 - 5*o + 401. Determine -5*g(j) + 7*t(j).\nAnswer: -3*j**2 - 198","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -230659*36\nAnswer: -8303724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6201)\/1027 - (27\/(-3) + 3). Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50404896 to the power of 1\/2, to the nearest integer?\nAnswer: 7100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and 0.727001?\nAnswer: 2.727001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 9*p**2 + 9*p + 1 + p**3 + 2 - 2. Let t = 24 - 373. Let x = -357 - t. Give v(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p - 5. Let b be x(6). Let l be 0 - (1*3 + (-32)\/4). Let w = l - b. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8\/u)\/u**(-2\/11) assuming u is positive.\nAnswer: u**(79\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r - i = -608567998, 14*i - 17*i = 6. Round r to the nearest one million.\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47 - (((-16)\/6 - -3) + (52\/6 - 2)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + o - 2. Let h be b(-2). Let l be (4 + -2)*h\/8. Suppose 0 = -4*m + 4 + 36. Solve 3*d - j = l + m, 3*d - 3*j = 21 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, f: 1, j: 3, s: 1}. Give prob of sequence jjx.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2. Let w(j) = -356*j. What is g(w(u))?\nAnswer: -253472*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 3\/28 of a week?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -q**4\/3 - q**3\/2 + q. Let v(k) = -2*k**2 - k. Let p(g) = 9*g**2 + 4*g. Let y(s) = p(s) + 5*v(s). Determine n(h) - 3*y(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 318631 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a century in decades?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 13*j - 12. Let m be q(-11). Let k be (1 - -16)*(m - 6). Let o = k + -48. Calculate the remainder when 75 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-26)*l*l**(-4))\/(l\/l**(-10)*l**(-13)) assuming l is positive.\nAnswer: l**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllbllllxllbllyylly. Give prob of sequence lx.\nAnswer: 13\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6762\/(-1725))\/(-49))\/((-4)\/20)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(405) + (sqrt(405) - (sqrt(405) + 1 + sqrt(405))) + -1)**2 + sqrt(405))*-5.\nAnswer: -45*sqrt(5) - 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/9, -3\/4, -1, 1\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 290 divide 1179597040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y**2. Let n(b) = 7*b**2 + 4*b - 2. Let a(h) = -7*h**2 - 3*h + 1. Let o(d) = 4*a(d) + 3*n(d). Let t(q) = 1. Let z(p) = o(p) + 2*t(p). Give z(c(j)).\nAnswer: -448*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 3*m + 12 = -r, m - 2 = r. Which is the fourth smallest value? (a) 3\/4 (b) -3 (c) 1\/4 (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 28*h**2 - h + 1. List the prime factors of x(1).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171 + -169. Suppose 5*i - 6 = -y, -f*y - 18 = -i + 2*y. Solve -3*j - s - 7 = 0, -5*j + 6*s = i*s + 23 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 11:12 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 3 - 1)*(3 + 1 - 6) + (3 + 0 + 0)*(-1 + 1 + 3))*(-5*d + d - d) to a*d + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 783274.6um in nanometers?\nAnswer: 783274600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-15)*(-11 - -21).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7790341 to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**3*n\/(n\/(n\/(n**8*n*n))*n)*n)**(-11)*(n*n**(4\/7)*n)\/n*n*(n*n\/(n*n**4)*n*n)\/n*n*n**3*n**(-1) assuming n is positive.\nAnswer: n**(487\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 - 29 - 41 + 109 - 39.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -840*h**4*v + 1964*h**3*v - 174*h**2*v - 2*h**2 + 4744*v wrt h?\nAnswer: -20160*h*v + 11784*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 531*l**6*n + l**5*n**2 - l**2*n**2 - 7*l**2 + 8*l*n**2 wrt l?\nAnswer: 63720*l**3*n + 60*l**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*p**3 - 210*p**3 - 12*p**3 + 10*p**3 + 9*p**3.\nAnswer: 18*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111101101010011110110111 + 110?\nAnswer: 11111101101010011110111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132110746 divided by 2.\nAnswer: -66055373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(6)\/sqrt(2) + -4 + (sqrt(3) - (3 + sqrt(48))) - (-4 + sqrt(48))*-6)**2.\nAnswer: -1364*sqrt(3) + 2413","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 3*(-3 + -1*sqrt(80) + 1) + -3*(sqrt(80) + 0 + 1 + -1))**2.\nAnswer: 144*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, r: 2, l: 3, g: 5}. What is prob of picking 2 g?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, x: 18}. Give prob of picking 1 x and 1 k.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.4255 + -0.3255. What is the fifth biggest value in -0.6, -32, -5, v, 0.3?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of 13*f**3\/6 - 9*f**2\/2 - 8*f. Let a(g) = 6*g - 4. Determine -5*a(t) + 2*c(t).\nAnswer: -4*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 774479021 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -55.36 - -55.46. Is h >= 202\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9\/2 - 3*g**3 + 9\/4*g**2 + 75\/4*g.\nAnswer: -3*(g - 3)*(g + 2)*(4*g + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 49152*x**5 + 292608*x**4 - 62949*x**3 - 292446*x**2 + 13797*x - 162 = 0. What is x?\nAnswer: -6, -1, 3\/128, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 62*q = 67*q - 785, -2*q - 1510 = -2*z. Let w = -760 + z. Solve 5*j - 15 = -w for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z**3 - 33*z**2 + 46*z - 20. Let i(o) = 15*o**3 + 32*o**2 - 40*o + 24. Let k(a) = 6*i(a) + 7*q(a). What is k(-41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31327\/28 - -1119. Calculate the common denominator of -71\/8 and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w - 2*w - 3*w)*(-4 + 0 + 5)*(-1 - 1 + 1)*(-1 - 3 + 3) + (w - w - 3*w)*(4 - 8 - 3).\nAnswer: 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j + 4 = 2*w, j = -4*w + 8. Let g(k) = k**3 - 2*k**2 + 2*k - 1. Let v be g(w). Solve -4*a - 10 = 3*c, -5*a = -6*a - v*c + 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 10, r: 2, u: 4, g: 3}. Give prob of sequence grku.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 + 5*v - 1. Let o be d(4). Suppose 0*h = o*h + 9. Suppose m - 4 = -m. Sort h, m, -5 in ascending order.\nAnswer: -5, h, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -8\/7, -3\/7, 1, -4 in increasing order.\nAnswer: -4, -8\/7, -3\/7, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from {v: 1, t: 3, d: 1, o: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - 29. Let i(w) = w**3 - 8*w**2 + w - 6. Let r be i(8). What is the closest to r in p, 6, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(6\/(-27) - 20\/72). What are the prime factors of (48\/9)\/(l\/21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + 2*k + 123. Let b be (17 + (-833)\/34)\/((-6)\/(-8)). Determine m(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 + 836. Let u = -889.9253 + c. What is u rounded to 3 dps?\nAnswer: 0.075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - -10 - (-6 - -2)) + 8.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -3, -2, -2\/13, 7\/58, -17 in increasing order.\nAnswer: -17, -3, -2, -2\/13, 7\/58, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1 (b) 57 (c) 0.5 (d) -0.17 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the second derivative of 5\/33*l**3 + 0*l**2 - 1\/66*l**4 - 1\/22*l**5 - 183*l + 0 + 1\/165*l**6. Factor a(g).\nAnswer: 2*g*(g - 5)*(g - 1)*(g + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2912865 to the nearest integer?\nAnswer: 1707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000263 to five dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 3522*c**2 - 4*c - 10. Let j be n(-3). Round j to the nearest 1000.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from liuiuluujnl?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8*u = 5*u - 25, 0 = 5*u + 15. Is ((-2237)\/w)\/(10\/(-40)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59254 divided by 4558?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 2281 divide 201253411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/4? (a) 4 (b) 1.6 (c) 7 (d) -18 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8973244 kilometers to micrometers.\nAnswer: 897324400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 1\/5, 4, 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -4. Suppose 4*v = 7*v + 105. Let k be (-28)\/v*10\/4. What is the smallest value in -5, m, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g**2 + 191*g**2 + 721*g**2 + 336*g**2.\nAnswer: 1253*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 11*t**2 + t + 2. Let q = 40 - 51. Give l(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)\/((-1*sqrt(448) - sqrt(448)) + sqrt(448)))\/(sqrt(55)\/sqrt(704))*6)**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n\/(n\/(n\/(n**(1\/12)\/n))))\/n**7)\/((n**(-4)\/n)\/(n*n**(-2\/11))) assuming n is positive.\nAnswer: n**(361\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2*f = 6, -3*w + 2*f + 13 = -1. Suppose 4*v = -0*v - w*c - 86, 45 = -3*v + 5*c. Let x = v + 40. What is the smallest common multiple of 2 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1224 - 698. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 2 + 7. Let a(c) = -4*c + c + p*c - 6*c. Let d(u) = 3*u**2. Calculate d(a(i)).\nAnswer: 108*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -44916839*b**6 - 2927263*b**2 - 9?\nAnswer: -5390020680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 896?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40 - 25. What is the remainder when 59 is divided by o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/33)\/(x*x**0\/x))**(-2\/15) assuming x is positive.\nAnswer: x**(4\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 + 3*u + 5. Let p be a(2). Suppose p - 137 = -m. What is the greatest common factor of m and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1145892 = 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*u = 640*u - 28 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14335207 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -286, 0, 7, 18925.\nAnswer: -286, 0, 7, 18925","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + t)*(1565 - 902 - 991) + 0*t - t + 2*t + 0*t - 3*t + t + (0 - 4 + 6)*(3*t - t - 4*t).\nAnswer: -333*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 57*r + 1585. Calculate j(-27).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/33 + 1\/99. Put 5, -2\/5, w in decreasing order.\nAnswer: 5, w, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/24*2 + (-14)\/4. Let f = -0.02 + 5.02. Let d = -1.2 - -0.2. What is the nearest to d in f, 3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8*a**3 - 3*a**2 - 6*a + 10. Let y = -206 - -217. Let c(w) = -3*w**3 - w**2 - 2*w + 3. Calculate y*c(z) - 4*v(z).\nAnswer: -z**3 + z**2 + 2*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -98*s**3\/15 - 434*s**2\/3 + 638*s\/5 - 138\/5 = 0.\nAnswer: -23, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 51 + 11 = 0. Suppose -2*l = 3*a - t, 2*l = 8*a - 12*a + 14. Suppose a*p + 0*p = p. Solve d - 2*i + p = -2, -2*d = 3*i - 10 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-3 - 12\/(-2)). Let b(n) = -n**3 - 9*n**2 - n - 9. Let i be b(j). Let a(g) = g - 6*g**2 + i*g + 20 - g**3 - 13. Give a(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25809557 to the nearest integer?\nAnswer: 5080","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bujyjjbbbuj. Give prob of picking 1 y and 3 b.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 79\/9 - (-16)\/72. Suppose h - 42 = -h - 4*l, 2*l = h - b. Let v = -73\/5 + h. Is v != 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 193354350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h**2 + 13*h - 17. Let q be f(4). Calculate the highest common divisor of 2 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -2*o + 290 - 60, -5*z - 575 = -5*o. Let a = o + 29. Calculate the greatest common factor of a and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -14*o + 21. Let g(h) = 32*h - 43. What is 4*g(j) + 9*k(j)?\nAnswer: 2*j + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29580 + 94439. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2. Suppose 6*d - 12 = -0*d. Let o(x) = 8*x**d - 25*x**2 + 15*x**2. What is i(o(l))?\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 73*g**2 - 8 + 994*g**2 as i + k*g + y*g**2 and give y.\nAnswer: 921","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/178 and 93\/1424.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 62, 173, 1, 3\/2, 0.2 in decreasing order.\nAnswer: 173, 62, 3\/2, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - (7 - -1)) + 7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -1045.\nAnswer: -1044.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 266818082*j**3*w - 3656*j**2*w - 11693*j**2 + w wrt j.\nAnswer: 1600908492*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*z**5 - 5*z**3 + 5*z**3 + (3*z**4 + 9*z**4 - z**4)*(3 - 2*z - 3) - 4*z**5 + z**5 + 2*z**5.\nAnswer: -26*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 20, 0*m + 907 = 3*g + m. Let l = g - 252. What are the prime factors of l?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/3 at most as big as 5218?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*i + 34 = 2*h, i = 2*h - 26. Suppose 0*v = v - h. What is the tens digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -153.2123 + 15.218. Let x = h + 138. What is x rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/2)\/((-2)\/(-20)). What is the common denominator of -28\/11 and -3 + 3 - 22\/g?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(1\/2)\/y*y)\/((y**(6\/5)\/y)\/y))**(26\/5))**(-44) assuming y is positive.\nAnswer: y**(-7436\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 2*i - i - 4*i + i. Let m be d(0). Which is the closest to m? (a) 4 (b) -0.16 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4205.737 millilitres?\nAnswer: 4.205737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + (2 + 175 - -4). Suppose -5*v - 232 = 3*a, -v = 4*a + 155 + j. Let d = a - -148. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65761539.\nAnswer: 3, 73, 467, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = z - d, -d = -5*z + 2 + 8 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 10. Let c(o) = 4*o - 41. Let s(y) = -2*c(y) - 9*p(y). Calculate s(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2142.\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -6, -12, 14, -0.1, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - 15*j - 17. Let o be i(-14). Let z(k) = k - 1. Give z(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1565 and 15?\nAnswer: 4695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(-48))\/(9*-1)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of x**5\/60 - 19*x**4\/36 - 7*x**3\/3 + 3051*x. Factor h(b).\nAnswer: b*(b - 21)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -27442*c - 329344. What is i(-12)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -7*l**5\/20 + l**4\/12 + l**3\/3 + l**2\/2 + l. Let i be f(-1). Suppose 0 = 4*r - 65 - i. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 107378011 to the nearest integer?\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6214*v**5 + 4193*v**2 wrt v.\nAnswer: 372840*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + -2.2. Which is the nearest to -3\/8? (a) -0.3 (b) x (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-11))\/(v*(v*v\/(v*v*v\/(((v*(v*v**(-7\/5)\/v)\/v)\/v)\/v)))\/v)*(v**(1\/11)*v)**33 assuming v is positive.\nAnswer: v**(262\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -581, -683, -797, -929, -1085?\nAnswer: -1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/135 and 76\/4631265?\nAnswer: 13893795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -108, -3, -2, 7 in decreasing order.\nAnswer: 7, 1, -2, -3, -4, -108","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + -3448967659.\nAnswer: -3448967659.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 7*r - 12*r. Let i be (-255)\/r - (11 + -12). Suppose 0 = -z - j + 44, -4*z + 4*j + i = z. Is 49 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 29.07531 litres?\nAnswer: 29075.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06387891 rounded to 4 dps?\nAnswer: -0.0639","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(2\/(-6)*-3). Let a(y) be the second derivative of 2*y**3\/3 + y**2 + y. Is a(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*m + 24 + 34*m + 23*m - 84 - 100*m + 18*m.\nAnswer: -2*m - 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/100 and 63\/84 + 6\/135.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(12\/7)\/(((s\/(s**(-1\/6)*s))\/s)\/s*s))\/(s\/(s*s**(2\/11)))**(-32) assuming s is positive.\nAnswer: s**(-1511\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -305276, -304901, -304526, -304151?\nAnswer: -303776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 762 + -148. Is ((-28)\/8 + 4)*q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 9*d**2 - d + 1. Let o(x) = 25*x**2 - 4*x + 2. Let f(c) = -8*b(c) + 3*o(c). Let u(l) = 4*l**2 - 5*l - 2. What is -6*f(t) + 5*u(t)?\nAnswer: 2*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1. Let o(c) = 6*c - 1. Let m(j) = -j**2 + 7*j - 7. Let y be m(6). Let s(i) = -i - 1. Let d(l) = y*o(l) - 5*s(l). Calculate d(g) - 6*z(g).\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.212 to two decimal places.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 31403 - 1?\nAnswer: 31402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*m - 61*m + 386*m in the form a*m + w and give a.\nAnswer: 309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -p**7\/12600 + p**4\/6 + 5*p**2. Let u(c) be the second derivative of h(c). Suppose u(y) = 0. Calculate y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/((-36)\/123))\/(4\/(-16)). Let p = z - -58. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 1 - 3. Let f(k) = 6*k + 1. Let s be f(g). What is the units digit of ((-2)\/s)\/(1\/45)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 17 - 109*r - 15 to the form k*r + b and give k.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -2 + 2 + -1 + -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2058 and 770378.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 25 (b) 2 (c) 1.1 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 800036582 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 - 133*h**2 + 1770*h + 3. Determine a(118).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzkzzzuvzkkuzzkkuk. Give prob of sequence vu.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 323668530 divided by -1422.\nAnswer: -227615","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -2*k**2 + 6*k + 10. Determine j(8).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 4)\/(45\/15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 3830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -25*c**4\/24 - c**2. Let g(n) be the first derivative of 2*n**3\/3 + 639. Calculate u(g(t)).\nAnswer: -50*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 272 + -272. Suppose -d + 5*y + b = -8, 2*y = 0. Solve 5*k = 3*q + 12, d = -4*k + 20 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**3 - 14*d. Let h(q) be the second derivative of -q**4\/6 - 5*q. Calculate h(r(w)).\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1216) + -5 - sqrt(1216)*-1*3)**2*2 + -5.\nAnswer: -896*sqrt(19) + 39005","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23695, -30962, -38245, -45550, -52883, -60250?\nAnswer: -67657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z + 14. Give l(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 - 12*h + 37. Let r(k) = -19*k + 37. Calculate 3*p(j) - 2*r(j).\nAnswer: 3*j**2 + 2*j + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(4\/8 - 1). Let d be (s - -14)\/(-4) - -3. Let t(x) = -2*x + 5. Let q be t(d). Solve -q + 13 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1815)*-1)\/(sqrt(27)\/(sqrt(45)\/(sqrt(15)\/sqrt(3)))) + -3.\nAnswer: -3 + 11*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - g. Let o be c(-1). Suppose -o = -3*f + 1. Let y be -2 + 1\/(f\/17). Solve 4*i - 3*b = b - 24, b - y = 4*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1495 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + -18. Let t be -2*((-9)\/6 - r). Let q(y) = y**2 - 6*y. What is q(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66963*r**4 + 4*r**2 + 22*r - 43 wrt r.\nAnswer: 1607112*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (36\/30)\/1 - 20\/(-25). Solve h - 14 = -3*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.018 - 1.018. Which is the third biggest value? (a) 1 (b) -1\/3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/1273 + 205109\/198588. What is the common denominator of x and -11\/216?\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -1, -1\/11, -1\/5 in increasing order.\nAnswer: -53, -1, -1\/5, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*o**4\/6 - 13393*o**3\/6 - 30049*o**2\/2 - 59505*o\/2 - 14400 = 0. Calculate o.\nAnswer: -3, -5\/7, 1920","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1197309.0061 + 1197166. Let j = b - -143. What is j rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1197 and 29169?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 7056*i - 11*i**3 + 7056*i - 4.\nAnswer: -11*i**3 - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/8)\/(171\/(-1368))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 616 and 242?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 74*a**2 - 66*a - 502. Is b(-7) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6 + 29*x - 16 + x**3 + 13 + 6*x**2 - 24*x. Calculate g(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*60\/(-10)*(-6)\/(-4)*1957\/(-618).\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -3325, -4\/3, -4\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8666 in 11\/31, 1\/2, 2, 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m**3 + 42*m**2 - 41*m + 44. Let a be p(13). What is the greatest common factor of 6138 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppx when four letters picked without replacement from {p: 7, x: 9}?\nAnswer: 9\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*p = 7, 2*x + p = x - 1. Let c = -81 - -187. Suppose 0 = -x*u - c + 313. List the prime factors of u.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -11*k. Let x be a(-2). Let c(g) = 5*g**2 + 32*g - 183. Let j be c(7). Calculate the highest common factor of j and x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.083 + -3.217. Let p = k - -3.53. Let l = p + 7.77. Which is the biggest value? (a) -3\/2 (b) l (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 860 - 840. What is the closest to -1 in -5, 0.3, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 - 4. Let t be w(3). Suppose -r - 2*j - 94 = -0*r, t*r - j = -525. Let g be (3 - r - -2) + 3. What is the highest common factor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*f + 5*f**3 + 2 + 4*f - f + 5*f**4 to the form s*f**2 + v + g*f + b*f**4 + n*f**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -2. Let v(i) = i**3 - 6*i**2 - 5*i - 11. Let l be v(7). Solve -4*f + a = -l*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 77*k**3 - 3*k + 2. Let o be v(1). Suppose r - 3*r + o = 0. What is the greatest common divisor of r and 456?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67.5 + 68. Which is the second biggest value? (a) 0.17 (b) -0.2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 + 2*t - 5. Let j be m(-4). Let n(r) = -1 + 2*r - 2 - j*r - 1. Let w(f) = 2*f - 7*f - 15 - 6. Calculate -11*n(x) + 2*w(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 316 = 250137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 714 and 163044?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21038564035 + 97.3.\nAnswer: -21038563937.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 1.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -102022 - -1000?\nAnswer: -101022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 8 - 12) + 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1092 + -1091. Suppose -4 + 20 = 2*o. Let t be ((-20)\/o)\/(1\/(-2)). Solve 31 = -t*y + 3*q, -2*q = 2*y - y + v for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11088042 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 11, i: 5}. What is prob of picking 1 z and 1 i?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 9*n**2 - 5. Let a(w) = -20*w**2 + 4*w - 20. Let k(y) = -59*y**2 + 11*y - 55. Let u(p) = 11*a(p) - 4*k(p). What is o(u(b))?\nAnswer: 2304*b**4 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36763 = 356*t + 53139 for t.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 14 = -11. Suppose 0*m = -f*m + 230. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 109, 6, -20.78, -2\/5, -2 in increasing order.\nAnswer: -20.78, -2, -2\/5, 0.1, 6, 109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*i - 61*i + 100 = -2540 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3131936 divided by 195746\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 47. Let p be 2\/12 + g\/24. Solve p = -m - 3*k - 15, 3*k - k + 10 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 2500?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18314096 to the nearest integer?\nAnswer: 4279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32870 = 4*a + a. Let i be -5 + -2 + 5\/((-30)\/(-441486)). Let u = a - i. What is u rounded to the nearest ten thousand?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-4)\/30 + (-3982)\/(-165)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h + 5*t - 42 = 0, t = -2*h + 28. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8779532*d**3 + 17062138*d wrt d?\nAnswer: -52677192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + (1 - 10 - 5) - 10?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6055918859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3 - t**2 + t**3 + 9*t**2 - 12*t + 12 + 4*t**2. Let j be i(-13). Solve 6 = j*p - 4*g, -p - 1 = -5*g - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 2, -15 in decreasing order.\nAnswer: 2, -2, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -208\/978553?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 383, 709, 987, 1211, 1375, 1473?\nAnswer: 1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -2 (b) -4\/11 (c) 18\/25 (d) -0.3 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 663, 665, 667?\nAnswer: 669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9468424 divided by 2\nAnswer: 4734212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30311 (base 5) to base 8.\nAnswer: -3644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 43*v**2 - 9*v + 297. Let x(r) = 21*r**2 - 4*r + 150. Give -3*t(k) + 7*x(k).\nAnswer: 18*k**2 - k + 159","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -68\/525 and -4 + (-10)\/(-1) + (-61484)\/9975.\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - y. Let m(g) = g**3 - 3*g + 2. Let f(d) = m(d) - o(d). Let s(v) = -1. Let w(b) = -f(b) - 2*s(b). Determine p so that w(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 40.7 (b) 2 (c) 5 (d) -5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 593679 + ((-154)\/2)\/(-11) + 9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a millennium in decades?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k**2 - 16. Calculate the remainder when g(7) is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) 0.3 (c) 0.2 (d) -1\/2 (e) 1\/30 (f) 0.042\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 2 + (5 - 5 + 2)*(-6 + 19 - 9))*(0*q**3 - 2*q**3 + 4*q**3).\nAnswer: 10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -901 - -501. What are the prime factors of (j\/(-24))\/((-4)\/(-6))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*v = -14, -7*c + 2*c - 5*v = 5. What is the closest to -1 in c, 5, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 169 + -164. Suppose -2*x = x - i - 13, 0 = -g*x + 5*i + 15. What is the remainder when 14 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**3\/6 - q**2\/2 - 5*q. Let g(p) = -3*p - 4. Let z(d) = g(d) - u(d). Differentiate z(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, 15, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -0*a. Suppose a = 2*f - 76 + 2. Let k = f + -26. Is k even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -19. Let c(l) = 3*l**2 + 3*l + 4. Let w(f) = 5*f**2 + 5*f + 7. Let t = -2 - 0. Let g be (-21)\/(-6) - t\/4. What is g*w(u) + s*c(u)?\nAnswer: -u**2 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/((-35)\/165) - 4. Suppose 2*n = -n - 30. Let v = r + n. List the prime factors of v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15666 (base 8) to base 16.\nAnswer: 1bb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.082 and 0.4.\nAnswer: -0.0328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -5*n - n. Suppose 0 = 2*v + 5 + n. Let w(z) = -z**2 - 8*z - 10. Let i be w(v). Solve 0*q = i*q + 3*x + 22, -x + 1 = -q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4*(-2)\/(-20))\/((-8)\/(-40)). Let a be (13\/x)\/(1\/(-14)). Which is smaller: a or 92?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 0*x = -18. Suppose 0 = 3*o - 27 + x. What are the prime factors of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 + 29 + -2 + 1 + 3?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 7 = 3*m - 0, -m = -4*a. Suppose -25 = -9*f + m*f. Suppose 0 = q - 94 + f. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/((-575)\/(-10))*6\/(168\/(-10))*1.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63226 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -36, -64, -98, -138, -184?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -200\nAnswer: -400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1018 by -1018.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 - 6*y. Let z(r) = 25*r - 3. Give o(z(m)).\nAnswer: 1875*m**2 - 600*m + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - 3680?\nAnswer: -367e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -89*w**2 - 24929*w + 24930. Give d(1).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -1277*a - 514. Does 34 divide j(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 25, 45, 65, 85, 105?\n\"Answer: 20*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1160\/(-2900)*(-1 - 162\/(-167)).\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 2*v = 9. What is the derivative of -v*n - 47 + 20 + 23 wrt n?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13923 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 3, 0.4, -4, 9\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 4, -0.034, 10\/7, -285, 2, 67?\nAnswer: -0.034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2032 is divided by 994.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.07454 - 200.66546. What is n rounded to the nearest integer?\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - r - 3. Let q be 4\/(-6)*(6 - 0)*-1. Determine y(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 57?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 1:13 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 10:46 PM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 10:55 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.95363 and -4.35.\nAnswer: -4.1482905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - -0.4. What is the second smallest value in 5, o, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + -2 + -3*1. Let l be 5\/4*g\/5. Let q = -9 + 8.8. Which is bigger: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21577 + -884.\nAnswer: -22461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in 266, -3\/10, 101?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2555.001723 - 2555. Round t to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 131, 254, 365, 464, 551?\n\"Answer: -6*z**2 + 141*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10581400 divided by 11080.\nAnswer: 955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 73*m - 66*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 5*j**2 + 7*j + 5. Let z be k(7). Suppose 86 = 644*a - z*a. Solve -39 = -4*r - a for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = 5. Suppose -5*a + 9 = -1, 5*a = -2*j + 8. Does 7 divide (j - 0)*(g - 1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**3 + 70*k**2 + 98*k + 20.\nAnswer: -2*(k - 10)*(k + 1)*(4*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.54, 1, 7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 316 - 3496. Let t = c - 157. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 305\/(-2))*(-8)\/(-4). Let z = u - -95. Is z a multiple of 101?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36*z**3 + 22447*z**2 + 92177576 with respect to z.\nAnswer: 108*z**2 + 44894*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 197 + -94. Let q(s) = -41*s + 11. Let f be q(-6). Let w = f - g. What is the highest common divisor of 14 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 327 is divided by 85.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -1)*26 + 11 + -5. Solve 18 - y = -40*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 4 + 0*w**3 - w**3 + 2*w - 3 - w**2 + 2*w**2. Let o(r) = 2*r**3 - 2*r**2 - 5*r - 3. Calculate -5*m(h) - 2*o(h).\nAnswer: h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.939817 - 3?\nAnswer: -1.060183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2\/4 - 699*c\/4 - 351\/2.\nAnswer: 3*(c - 234)*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/11352614 and -58\/9849?\nAnswer: 34057842","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-8) + (-9)\/(-4). What is c in 4*c + 0*c**2 - 4*c + 2*c**k = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3682 + 3770. Suppose 2*t - 4 = -0*t. Suppose -i = -w - 2*d, -w - t*d = -d - 83. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*x + 36*x + 13 = -p, 5*p = 3*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -17*h + 0 - 3\/8*h**2 + 1\/6*h**3 - 1\/48*h**4. Let p(f) = 0. Calculate f.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 + 4*p + 6. Let z be n(4). What is the highest common divisor of 15 and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 5*b**2 + 4*b + 1. Suppose -3*g = -4*n - 6, n - 1 = 4*n - 4*g. Is r(n) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/2)\/(((-8)\/(-2))\/(36*(-451)\/(-246))).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 19. Let j be n(-11). Let d(x) = -2*x + 16. Let y be d(j). Suppose 3 = -3*l + 18, -2*q + 2*l - 2 = y. Solve -q = 4*z - 5*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-216)\/(-45) - (-24)\/20)*(-7)\/(-14).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(0 + (-2*sqrt(3500))\/sqrt(7)*-2) + 4.\nAnswer: 4 + 200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16696335.6ms in weeks?\nAnswer: 0.027606375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -38462*a + 2. Let s be p(-1). Suppose -21*x + s = -17*x. Calculate the remainder when (0 - (-4)\/18) + x\/144 is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170489912.\nAnswer: 2, 563, 37853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 343*h**4 + 164982*h**2 - 1093154295?\nAnswer: 1372*h**3 + 329964*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30*(-56)\/70 + (-860)\/(-36)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of b*t**2 - 222*b*t*w - 67*b*w + 36*b - 47*t**2*w + 7401*t + 5 wrt w.\nAnswer: -222*b*t - 67*b - 47*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5 = m - o, -5*o = 4*m - 20. Suppose m*g + 19 - 89 = 0. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 33 = -175. Let d = -171 + m. Let x = d - -131. Calculate the remainder when x is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4*p + 5 = -1, 6 = -n + 4*p. List the prime factors of (13 - 2) + (n - -3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**5\/8 - 715*v**4 - 8225245*v**3\/8 - 65290885*v**2\/4 - 78358700*v - 99640324 = 0.\nAnswer: -2852, -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 13*v**2 + v - 8. Suppose 11*l - 2*z + 64 = 13*l, -5*l - 2*z = -166. Suppose -35*b + 13 = -l*b. Calculate s(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -319 + 1033. Suppose 20*a = 26*a - m. Calculate the remainder when a is divided by 61.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 - 15*n**2 - 26*n + 12. Is j(-14) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244211 - -3494241\nAnswer: 3738452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659330587 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 + 3.18. Let x = 52076137 - 52076139.4800109. Let h = x + t. What is h rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1252*d + 690391 - 690391 - d**3 to x*d**3 + n*d**2 + c + u*d and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111507597?\nAnswer: 3, 458879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246*p + 474*p - 237*p - 2.\nAnswer: -9*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-126)\/(-21)*4\/22*(-1)\/(-4)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 5*d + 6. Let n be a(5). Let f be 0\/((-2)\/n*-3). Let o be f - 3\/15*2. What is the second biggest value in 3, -3\/4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(700) + -1 - sqrt(700)) - -5*(sqrt(700)*-2 + sqrt(700))) + sqrt(84)\/((1*sqrt(84))\/sqrt(7))*-1)**2 + -4.\nAnswer: 102*sqrt(7) + 18204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -3*c - 5. Let f(d) = -4*d + 21. Let w(g) = -6*g + 31. Let l(a) = 7*f(a) - 5*w(a). Let i be l(5). Suppose 4*t + 8 = i*t. Calculate p(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 411 + -395.6. Let p = -18.4 + q. Which is the second smallest value? (a) p (b) 3 (c) 4 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from lllllllllllllllklkl?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a litre in millilitres?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -11. Let l = 8 + -6. Let p = l - 3. What is the second biggest value in p, q, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -905, 4720, 0 in decreasing order.\nAnswer: 4720, 0, -905","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u - 1. Let t be m(-2). Let w be t\/(-9) - 1312\/(-6). List the prime factors of 1\/(-6) - w\/(-18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 3*m - 0*m - 3*h, 0 = 5*m + 2*h - 52. Let u = 13 - m. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2085 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - n - 5 + 8, 8 = -3*x + 4*n. Put -5, x, 26 in descending order.\nAnswer: 26, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 774\/(-72) + 4 + 8. Let h = 22 - 21.7. What is the second smallest value in h, a, 2, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -4 + 7. Let j(x) be the second derivative of -13*x**8\/6720 + x**7\/2520 - x**4\/4 + 18*x. Let y(q) be the third derivative of j(q). Calculate y(l).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -19 - 22*n - 26 + 7. Let z be q(-2). Solve 3*v = u + z, 0 = 2*u + 2*u - 3*v + 6 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - a = 4 - 14, 2*x - 3*a = -14 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven tenths of a millennium?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -670259*w + 670259*w - 5*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 - 2*t**2 + 4*t + 2. Suppose -2*z + 3 = -y - 10, 5*y = -4*z + 5. Give n(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 21\/7)*(3 + -2). Let m = -28 + 50. Suppose -x + 3*x = 2. Sort x, r, m.\nAnswer: r, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 34 - -8. Calculate the least common multiple of o and 21.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -2*d + 23. Let z = 65 + -41. Let x(b) = -70*b**2 + 44*b**2 + z*b**2. Determine o(x(p)).\nAnswer: 4*p**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.065 - 0.065. Let w be (-30)\/(-33) - -10*(-4)\/20. Is d <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - t + 2*t + 0*t - 3*t + (0*t + 2*t + 0*t)*(4 - 2 + 0) - t - 1 + 1 - 4*t - 20 + 20 to the form q*t + p and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15736635.\nAnswer: 3, 5, 149, 2347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2 + 277*r = 0.\nAnswer: 0, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11160982 + 164.\nAnswer: 11161146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2*5\/10*-4. Sort 3, h, -2 in increasing order.\nAnswer: h, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 3 = -3*k - 10, -7*p = -5*k - 22 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -3*sqrt(2) + -1)**2 - -5*((sqrt(2) - (-4 + sqrt(2))*6) + sqrt(2))**2.\nAnswer: -930*sqrt(2) + 3083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 278366 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a millennium in years?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3672231958?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**7\/56 + m**6\/10 - 9*m**5\/40 + m**4\/4 - m**3\/8 + 184*m. Factor o(y).\nAnswer: -3*y*(y - 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 1. Let m(h) = 36*h**2 - 2*h - 2. Give m(n) + 6*r(n).\nAnswer: 36*n**2 - 2*n + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 1528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 12*d - 10)*(-3*d**3 - 5 + 5).\nAnswer: -36*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 5\/2, 0.01, -1\/1244?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y**2 + 0*y**2 + 478*y - 954*y - 9*y**2 + 465*y.\nAnswer: y**2 - 11*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j - 25. Let a be z(-10). Let p = a + 54. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven sixths of a minute?\nAnswer: 70","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3*d**2 - 5*d - 4. Let l be w(-5). Let p = 57 + l. Let k(f) = 56*f - 23*f - 31*f - 7 - p*f**2. Let h(i) = i**2 - i + 3. What is 7*h(r) + 3*k(r)?\nAnswer: -2*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 34 + -104\/3. Let d = -42.8 - -53. Let y = d + -10. Which is the nearest to y? (a) l (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**5 + l**4 - l**3 + 2*l**2 + l. Let r(w) = -4*w**5 - 6*w**4 - 4*w**3 - 21*w**2 - 9*w. Let s(c) = -5*m(c) - r(c). What is p in s(p) = 0?\nAnswer: -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.83 - 0.43. Let l = -11.4 + a. Which is greater: l or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3)*(1539*z**2 - 320*z**2 - 51*z**2).\nAnswer: 3504*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -221374.\nAnswer: -66412.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 14*q**2\/5 - 1528*q\/5 = 0. What is q?\nAnswer: 0, 764\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -46 + 54. Put i, 0.18, -2\/3 in decreasing order.\nAnswer: i, 0.18, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3546971, 3546972, 3546973, 3546974?\nAnswer: 3546975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/(-4))\/((-33)\/44))\/9\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 2 - 2 - 66*w**3 - 107*w**3 + 51*w**3 - w**3 + 3*w**3 + w**3 + (0 + 1 + 1)*(-3*w**3 + 0*w**3 + 2*w**3) - w**3 - 3*w**3 + 2*w**3.\nAnswer: -124*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((13 - 13 - 7*v)*(0*v - 4*v + 5*v) - 125 + 125 - 3*v**2)*(0*v - 2*v**2 + 0*v + (-3*v - 2*v**2 + 3*v)*(4 + 0 - 5) + 2*v**2 - v + v).\nAnswer: -20*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r + 143. Let i be m(-36). What are the prime factors of (3 - -3) + 9*i - -1048?\nAnswer: 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*(-14)\/(-56)*17\/((-935)\/(-836))\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -15\/73 (b) -1\/4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (293*g + 12 - 36 - 292*g)*(-135*g + 70*g + 107*g + 0*g + 2*g + 0*g + (6*g - 3*g - 4*g)*(-1 + 2 + 0)).\nAnswer: 43*g**2 - 1032*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.053 + 64.053. Let z = y - 63. What is the closest to z in 5, -0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 402 - 406.51. Let n = 176.49 - f. Let c = -180.829 + n. Round c to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, c: 1, h: 1, p: 2, m: 1, b: 1}. Give prob of sequence ch.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + -123 + (72 - 6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-110)\/132 - (-1)\/(-6). Which is the second smallest value? (a) 4.5 (b) 1 (c) i (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - x**2 - 8 + x**2 + 8 + 2 - 2*x**2 - 2 - x + 3*x**2 + x + (0*x + 2*x + 0*x)*(-2 + 2 + x) to the form s*x + n*x**2 + j and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -52 - 4*p**2 - 6*p**2 - 4*p**3 + 0*p**2 + 30 - 55 wrt p.\nAnswer: -12*p**2 - 20*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in nine tenths of a kilogram?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do -277 and -1111\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2684, 10766, 24240, 43106, 67364?\n\"Answer: 2696*a**2 - 6*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10885600 rounded to the nearest ten thousand?\nAnswer: 10890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.041074 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/67795 and -3\/9457.\nAnswer: 91591045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, a: 1, i: 2, d: 3, u: 7}. What is prob of picking 1 d, 1 i, and 1 t?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 24 = -9. Let y be -5 - (-1 - (1 - l)). Solve 3*i - 3*n - 12 = 0, 2*i - 24 = 4*n - y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 523 - 83 = 2*a. List the prime factors of a.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -332391.13 - -330897. Round v to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4999408 and 2.\nAnswer: 4999408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-14))\/4 + (-544)\/119.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 78 = t, 0*t + 4*i + 144 = 2*t. Suppose 2*y - 64 = -3*y + 3*g, g = 5*y - t. Suppose -5*z + 12 = -4*z. What is the least common multiple of y and z?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2. Suppose m - 3*d - 6 = -2*m, 5*m - 4*d = 8. Suppose 2*u - 8 + 10 = m. Let c(r) = -4*r**2 + 1. What is u*c(p) - 5*z(p)?\nAnswer: -p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from aaz.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1743752 (base 9) to base 6.\nAnswer: 32512245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8467563 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 82 = -a, -3*a = 30*w - 32*w + 25 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 35 + -1 + -1 - (13 + -12). What is the greatest common divisor of 4 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s. Let f be l(-1). Suppose 0 = f*i - 529 - 71. Suppose 3*n - 64 - 80 = 0. Calculate the highest common divisor of n and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(1 + 2 + 2)*(0 - m + 0 + 1 + 2*m - 1 + m - 3 + 3 + (0*m - 3*m + 4*m)*(-1 + 1 + 2) + 4*m + 3*m - 5*m).\nAnswer: -30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*t**3 - 5*t**4 - 18*t**3 + 56*t - 3*t**3 to x + s*t + c*t**4 + a*t**2 + z*t**3 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y. Let m(a) = -4392*a**2. Determine q(m(i)).\nAnswer: -8784*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 89.9254 and -31595882?\nAnswer: 31595971.9254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 161 and 8?\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 331557277?\nAnswer: 19, 953, 18311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 26. Let f be (m\/(-9))\/((-16)\/36). Suppose f*t + 34 = 4*t - 2*o, 4*t - 150 = o. Is 14 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1271 - 1244. Solve u = 5*x + 12 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2798.4363us?\nAnswer: 0.000046640605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -393000 to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 9.5 (b) 2\/5 (c) 1 (d) -11 (e) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*i + s - 31, -19 = -328*i + 326*i - s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/6 - 1834811*j\/2 + 22017700\/3.\nAnswer: (j - 5504425)*(j - 8)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1320103?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1884882 at most as big as -1884882?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 + 2017*h.\nAnswer: -h*(h - 2017)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**3\/5 - 265332*h**2\/5 + 3714282*h\/5 - 3448952\/5 = 0.\nAnswer: 1, 13, 132652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 16*s**2 - 12*s + 45. Let p(n) = n**3 + 15*n**2 - 11*n + 45. Let z(v) = 3*m(v) - 2*p(v). Let r be z(-19). Is r greater than -50?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of -1\/2*m**3 + 0*m**4 - 1\/60*m**5 + 0*m + 0 + 2*m**2. What is the derivative of t(z) wrt z?\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1. Let w(i) = -i**2 + 12*i. Let n(r) = 5*l(r) + w(r). List the prime factors of n(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 85*l**3 - 2*l**2 + 92*l + 10. Is w(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 107 + 1 + (88 + -32 - (159 + -105))\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1177, 3\/7, -1\/9, 16 in descending order.\nAnswer: 16, 3\/7, -1\/9, -1177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6347, -25253, -56769, -100901, -157655, -227037?\nAnswer: -309053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 19*v - 22. What is the tens digit of r(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -20*m + 443. List the prime factors of j(-18).\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 10*z**3 + 21*z**2 - 20*z + 16. Let p(u) = -46*u**2 + 5*u**3 + 3 - 53*u**2 + 154*u**2 - 51*u**2 - 4*u - 3*u**3. Give -2*d(b) + 11*p(b).\nAnswer: 2*b**3 + 2*b**2 - 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q - 1. Let k(v) = -v**3 - v + 10. What is the smallest common multiple of k(0) and i(1)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**2 + 7*p - 9. Suppose -5*x - 2*a - 21 = -a, x = 2*a - 13. Let l(h) = 5 + h + h - h. What is x*m(b) + 7*l(b)?\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 63*b**2 + 195*b + 33. What is p(-3)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1765\/4 - -444. Is f bigger than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - 4*g**2 - 4*g - 6. Let w be v(5). Let f = w - -5. Suppose 2*d = 22 + f. Is 6 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2274.\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4\/431 + 7714\/4741. Let c = -411\/10 + 3869\/90. Calculate the common denominator of c and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*x + 9478 = 147171. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123747289 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -5*d**3 - 4*d + 12. Let s(u) = -11*u**3 - 9*u + 25. Let t be (-2)\/(-1) - (-1 - 6). Let j(h) = t*i(h) - 4*s(h). Differentiate j(o) wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 3*z**2 + 3*z + 3. Let n be y(-4). Suppose 2*r + k - 8 = 0, -2*k + n*k = -5*r + 20. Solve 9 = -5*w + r*l, w + 1 - 4 = 2*l for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -115*l + 221*l + 135*l - 92. What are the prime factors of s(4)?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 55*r - 652. Suppose -3*x - 2*x + g + 43 = 0, 5*g = -4*x + 17. What is the remainder when v(-18) is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.03, -1, 7.4, 3, 1, 7.807?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 8450*q**5 - 498290*q**4 - 1071588*q**3 + 1513732*q**2 + 47330*q + 366 = 0?\nAnswer: -3, -1\/65, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4\/199705 (b) 0.02 (c) -0.2 (d) -4 (e) 0 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 271 a factor of 48238?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90 - 35 - 29 - 11*u + 0 - 26.\nAnswer: -11*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 374 and 1678682.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(102)\/(sqrt(96) - (sqrt(96) + -1*sqrt(96)))*6)**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2818.\nAnswer: 2, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1001926.13 + 0.5.\nAnswer: -1001925.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - (1 + (sqrt(700) - (sqrt(700) - (sqrt(700) + -2))) + sqrt(700)))*1*-3)**2.\nAnswer: -180*sqrt(7) + 6309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 11 = -7. Let d(a) = -33*a - 12. Let t be d(i). Suppose 247 = u + 3*u - k, 3*u - k - t = 0. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**3 + p**3 + p**3 + (p**2 - 2*p**2 + 3*p**2)*(-p + 2*p + 2*p) - 60*p**2 - 3*p**3 + 60*p**2.\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**2 - 5*y**2 + 4*y**2)*(1 + 0 - 3 + (0 - 2 + 3)*(-1 - 3 + 3) + 2 - 4 + 4 + 0 + 3 - 1).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -a + 14 + 5, a = -10*j + 14*j + 43 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 5.1154*-1\nAnswer: -5.1154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(132)*6)\/(sqrt(108)*-1))**2.\nAnswer: 704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5*sqrt(32) - (sqrt(18)*-1 + -4*(sqrt(8)\/sqrt(4))**2).\nAnswer: -17*sqrt(2) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 v when three letters picked without replacement from {m: 2, i: 6, e: 1, v: 2, x: 1, d: 6}.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -327760*z + 628005?\nAnswer: -327760","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -4 (b) -0.074 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 181 and 8?\nAnswer: 1448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a**4\/7 - 1410123*a**3\/7 - 3172734*a**2\/7 - 2115147*a\/7 - 352524\/7 = 0. Calculate a.\nAnswer: -117508, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -4.9. Let l be (875\/84)\/((-66)\/(-4)). Let n = 9\/22 - l. What is the nearest to i in n, -1, 2\/3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/112 and -51\/64?\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14667, -29312, -43931, -58524, -73091, -87632, -102147?\nAnswer: -116636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.137681 rounded to 4 decimal places?\nAnswer: -0.1377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*y - 535*y - 295*y = 32010 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.2 or 6\/104995?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 455163 + -1040466. Let m = -1278303 - o. What is m rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 480790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214256 + 18*b + 19*b + 23*b + 214255 - 59*b.\nAnswer: b - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (84\/(-7) + (-700)\/(-40))*(37 - 1) is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from mmmiizlllw.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 19\/4 of a kilometer?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7834*b**2 - 15527*b**2 + 150*b**3 + 7693*b**2 - 151*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 - 62. Suppose 4*r - 5*x + 96 = 0, -4*x = -r + n*r + 60. Let j = -14 - r. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/7, 0, -29, -0.3, 9, 5 in descending order.\nAnswer: 9, 5, 1\/7, 0, -0.3, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206593323*h**6 + 32198*h**2 + 2*h - 474 wrt h?\nAnswer: 24791198760*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6022119 + 8736291. Suppose 0*x = 4*x - l. Let w = x + 1721457. What is w rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h + 2. Let w be k(2). Suppose w = 2*f + 3 - 11. Calculate the remainder when f is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {j: 2, q: 3, u: 1, r: 1, n: 9, z: 2}.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -i**6\/120 + i**5\/10 - i**4\/8 - 7*i**3\/6 + 8*i**2. Give g(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*v**5 - v**4 + 7*v**3 + 212*v + 26.\nAnswer: -160*v**3 - 12*v**2 + 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10701 = -165*f - 2451. What is the least common multiple of 2510 and f?\nAnswer: 12550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3387*a*h**3 + 4*a*h - 221*a - h**3 - 223*h**2 + 6*h - 88 wrt h.\nAnswer: -20322*a*h - 6*h - 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -10. Let s be 62\/(-8) - t\/(-4). Let d = 11 + s. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 7 = -4*y, -n - 7 = -4*y - 2 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1258 and 544612?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/7 - 37\/7. Let a(c) = -c**2 + c. Let x(b) = -2*b**2 + 8*b + 7. Let g(q) = 3*a(q) - x(q). Give g(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.018 + -60.982. Let m = t + 63. Which is the third smallest value? (a) m (b) 3 (c) 5 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -737*r + 344 = -729*r. Let i(s) = -s**3 + 4*s**2 + 3*s - 2. Calculate the remainder when r is divided by i(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k**2*u**3 - 131*k**2*u**2 - 23*k*u**3 - 2*k + u**3 wrt k?\nAnswer: 2*u**3 - 262*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5\/8 of a millimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 10:08 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/26*1*8\/(-4).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -2 + -2*sqrt(10)\/(sqrt(605)*-2 - sqrt(605))*-4)**2.\nAnswer: 16*sqrt(2)\/11 + 9929\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 132690.\nAnswer: -1\/44230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 14*y + 30. What is n(-9)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -50. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**4 + 646*n**3 - 619*n**2 - 16746*n - 15480 = 0 for n.\nAnswer: -4, -1, 6, 645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6823*k**3 - k**2 - 6812*k**3 + k**2.\nAnswer: 11*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**3 - g**2 - g + 1. Let p(c) = 2*c**3 + 3*c**2 - 17*c + 8. Let m(w) = -p(w) + 5*v(w). Is m(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phqh when four letters picked without replacement from wwqphwqqpwwhw.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j**3 + 131*j**2 - 37*j. Let m(v) = 3*v**3 - 2*v**2 - 3*v. Give -b(r) - 2*m(r).\nAnswer: -2*r**3 - 127*r**2 + 43*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 5*x - 40 = 0, -2*j + 5*x - 5 = -4*j. Let v = j + 8. Solve -8 = m - v*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6237 and 1942633.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-31)\/186 + (-87)\/18 + 4)*5 + 0. Let z(r) = r**3 - 5*r**2 + 5*r - 3. Let v be z(4). Put p, v, 6, 4 in ascending order.\nAnswer: p, v, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68375, 136945, 205501, 274043, 342571, 411085, 479585?\nAnswer: 548071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36387440.\nAnswer: 2, 5, 454843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3345318083 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + 1 + sqrt(125) - (sqrt(125) - (-1 + sqrt(125))*2) - (1 + (sqrt(125) - sqrt(125)*-1) + -5)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/1080 and -97\/270?\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkiwkkwiiikkkiiwki. What is prob of sequence ki?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -140432612*g**2 + 756419*g + 4 wrt g?\nAnswer: -280865224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -u + 36. Let b(r) = 15*r + u - 9 - 5*r. Let g(c) = c**2. What is b(g(t))?\nAnswer: 10*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y**(2\/23)*y))\/(y\/(y**(12\/11)*y)))**(2\/41) assuming y is positive.\nAnswer: y**(508\/10373)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 155 divide 137640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 11.9 (b) -1\/6 (c) -2 (d) 5 (e) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 69 and 2371967?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69864711 a multiple of 1328?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 134153 is divided by 133732.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24411 (base 6) to base 3.\nAnswer: -11221121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5*2\/(-10)*4)\/((-24)\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*((h\/((h\/h**(-31))\/h))\/h)\/h*h*h\/(h*h**(-10\/7)) assuming h is positive.\nAnswer: h**(-200\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**2 - 18*z. Calculate a(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_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: Convert -5 (base 10) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 9595764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 c when two letters picked without replacement from tycmcccoicmtoctco.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of d**6\/840 + 33*d**2\/2 + 28. Let v(q) be the second derivative of z(q). Factor v(y).\nAnswer: y**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -15*p**2 + 9 + 14*p**2 + 2 + 8*p. Let d be k(9). Suppose u = -3*r + 4*u, -d*r = -4*u + 4. Solve -2 = -r*y + 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((9 - -1) + -9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.8 in 208, 5, 162, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 49490\/13 or 3806?\nAnswer: 49490\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9181626s to milliseconds.\nAnswer: 918.1626","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -4*z - 27, -2*a + 3*a - 15 = 2*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 5*m + 5. Let o be k(-4). What is the second derivative of -36*r - 7*r**2 + o*r - 4*r**2 + r**2 wrt r?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 152001 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 13*c + 3. Let b(d) = d. Let w be (-1 - -2)\/(5 + -4). Let t(j) = w*h(j) - 5*b(j). Find the first derivative of t(s) wrt s.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 5 + 2 - (3 - 7)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*r**2 - 2 + 13 - 20*r**2 as j + q*r**2 + y*r and give j.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -21*l**3 - 25*l**2 - 5*l - 1. Let s(p) = -4*p**3 - 5*p**2 - p. Determine 2*a(b) - 11*s(b).\nAnswer: 2*b**3 + 5*b**2 + b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(272) - (-4 + sqrt(17) + 2).\nAnswer: 6 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and -5088914.\nAnswer: -1017782.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 7*b**4\/3 + 2*b**3\/3 - 18*b - 1. Factor u(k).\nAnswer: 4*k*(7*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 - (8 + (6 - 13)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -685, -2041, -4071?\nAnswer: -6775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 2*t - 22 = 0, 2*x - 3*x = -2*t + 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 395419.4 micrograms to nanograms.\nAnswer: 395419400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-37)\/(-5) + -2 + (-88)\/(-55)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**3 + 3*g**2 + 9*g + 27*g - 2*g**4 - 38*g - 1 as u + s*g**3 + a*g**2 + q*g + b*g**4 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1444 and -470.\nAnswer: 67.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -41\/5 - -87\/10. Which is greater: 14 or i?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13567787*p**3*z**5 - 3*p**3 - 3*p**2*z**2 - p*z**2 - 100817*p*z + 3*p wrt z?\nAnswer: -814067220*p**3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*n + 17*n - 15 = -5*k, 3*n + 26 = 4*k. Is (-29 + 1)\/(4 - (-9)\/n) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.4 and -31456356.30173.\nAnswer: -31456353.90173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-14)\/(-14))\/((-40)\/(-12)))\/(4\/(-10))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -99 - -108. What is the lowest common multiple of 16 and (-3)\/g + 4\/((-48)\/(-580))?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 376882822?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 1*(0 + sqrt(28)) - (-2 + (sqrt(252) + sqrt(252) + (-1*sqrt(252) + 2 - sqrt(252)) + sqrt(252) - sqrt(252))))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 - 8*o + 99. Let z be d(5). Let y(m) = -m**2 + 4*m. Let j be y(3). Suppose -52 - 137 = -j*k. Calculate the highest common factor of z and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g + 7. Let s be j(-5). Let q be 17 + (7 - s) + -3. Suppose -q = -0*p - p + k, -5*k - 5 = 0. What is the highest common factor of p and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65.806216 + -1.311.\nAnswer: -67.117216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.95 - -0.05. Let h be ((-6)\/35)\/(21\/(-140)). Which is the nearest to h? (a) -5 (b) -0.2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 4, -2\/5, -1, 1\/2, 0.15?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 381719 is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-48))\/(15\/(-12)*34\/(-136)).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267980 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.15 + -0.25. Put -6\/7, -0.3, l in ascending order.\nAnswer: -6\/7, -0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126\/275 >= 1.561?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -218 + 214. Sort w, 3, 5, -3 in decreasing order.\nAnswer: 5, 3, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -31 and -204 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -74 and -0.4?\nAnswer: 29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 8*d**2 - 6*d + 5. What is the units digit of u(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -596450 + 1046103. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 11*r - 276. What is u(19)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(((h**1*h)\/h)\/h)*h*((h\/h**(2\/3))\/h)\/h*h**(-2\/9)\/(h\/(h**(-8)\/h)) assuming h is positive.\nAnswer: h**(-89\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7\/10 (b) 0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 34*i**2 - i. Let v(q) = -q**2 + q + 1. Let b = 10 + -11. Let p be v(b). What is the units digit of y(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (14 - 16)*(-2)\/20. Suppose 0*h - 6 = 3*h. Let q be (1 + h)*(0 - -5). Which is the second biggest value? (a) g (b) q (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 35 = -6*m - 5*y, m - 9 = -y. Suppose 127 = -m*z - 38. What are the prime factors of 1\/6*-4*z?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-45))\/((-4)\/(-5))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3061 or -0.09?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15055 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x**3 + 4*x**3 + 3*x**3 + (5*x - x - 2*x)*(x + 2*x**2 - x) + 66*x**3 + 2994 - 2978 + 36*x**3.\nAnswer: 108*x**3 + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(2\/11)*x)\/x)\/(x\/(x\/x**(1\/3))))**(-35)*((x\/((x*x*x\/x**(-4)*x)\/x))\/x**(3\/4))**(-5) assuming x is positive.\nAnswer: x**(535\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-3))\/(8\/1116*-3). What is the highest common divisor of 31 and x?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-15) + (-77)\/(-5). Let d be (-3)\/9 + 386\/6. What is the highest common factor of q and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2131 is divided by 2118?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*j + 502*j - 44*j - 10 - 196*j to p*j + n and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 79 = 3*l + 18*l - 24*l, -197 = 13*s - 5*l for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 366?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/25 of a kilogram in grams?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 4*h - 13, -3 + 4 = -2*h + 5*s. Solve -2*o = -2 - h for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858825 (base 13) in base 4?\nAnswer: 23330223030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of -t**6\/60 - t**5\/10 - t**4\/6 + 13*t**2. Suppose p(i) = 0. What is i?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the first derivative of 3\/2*t**2 - 2\/3*t**3 - 2 - 2*t. Let y be o(2). Put y, 2, -1 in descending order.\nAnswer: 2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 68 + 1?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8)\/(-10)*(-30)\/(-4). Suppose -a = 2*a + 12. Let q = 1 - a. Is u less than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4144 - -6378. What is the remainder when a is divided by 172?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 32\/143 (c) 31 (d) 11 (e) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.024607 rounded to 4 decimal places?\nAnswer: -0.0246","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 41*k**5\/10 + k**4\/4 - 5*k**3\/6 + 3*k**2\/2 - 1974*k. What is u(1)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y + 68. Let r be l(18). Is (r - 52\/(-6))\/(1\/15) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 3*q + 7*q)*(-1 - 2 + 2) - 3*q - q + 5*q + 0*q - 2*q + 4*q + 5*q - 11 + 11 + (-1 + 5 - 3)*(-q + 0*q + 0*q).\nAnswer: 5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50596612?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.060714 - 6608.739286. What is c rounded to the nearest 10?\nAnswer: -6610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154 is divided by 54.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 16113?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(567) + 4 - sqrt(567)) + (5 + -4 + sqrt(567) + sqrt(567) - sqrt(567))**2.\nAnswer: 18*sqrt(7) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j + 40. Let p be r(-10). Let h be (-10*115\/p)\/((-1)\/(-2)). Calculate the greatest common factor of 23 and h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p**3 - 17*p**2 + 12*p + 15. Let q be v(-9). Let m be 6\/4*q\/(6\/(-2)). Let t be 1*m*(-62750)\/75. Round t to the nearest 100.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 5:32 PM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, -3, -248\/7147, -1, 3 in descending order.\nAnswer: 24, 3, -248\/7147, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1084*t - 712 wrt t.\nAnswer: 1084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 773 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 12088 = -n. Suppose -5*i + n - 371 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -40*i + 40*i + 2*i**3 + 31*i**2 - 2 to the form s + a*i + y*i**2 + c*i**3 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -6*s - 9. Determine j(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 92 and 18?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eight sevenths of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.27 and -3.25712247.\nAnswer: -2.98712247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 1)*(-2*j + 2 - 2) + 3*j + 3*j - 5*j - 8920 + 8920 - 2073*j.\nAnswer: -2068*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3314 - -3315. Suppose 0 = 2*o + 2*o + 16. Sort o, -17, g.\nAnswer: -17, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18998?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27418, -109940, -247478, -440032, -687602, -990188, -1347790?\nAnswer: -1760408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.15 in -3, -2, -36, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*a**2*t**2 - 7*a**2*t - 13162*a*t**2*x**3 - 2*a*t**2 - 4*a*t*x + 45*a + 2*x**3 wrt t?\nAnswer: 10*a**2 - 26324*a*x**3 - 4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**3\/6 + r**2\/2 + 3*r. Let z be l(3). Let y(u) = -z*u + 3*u - 2*u + 1. What is y(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 - 17. Does 6 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, g: 2}. What is prob of picking 3 k?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 1 - 3)*(-5*w + 0*w + 3*w) + (0*w - 3*w + 2*w)*(-1 + 5 - 3) - 8 - 7 - w + 3 as x*w + k and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/(-130)*75\/120?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33913 - 118192 = 951*s + 1211*s + 82195 for s.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0694585 and -93.\nAnswer: -6.4596405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v + 3. Let w be 8\/(-12) + (-10)\/(-6). Let u be (2 + w + -2)*-5. Is s(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1267, 2450, 3659, 4906, 6203, 7562, 8995, 10514?\n\"Answer: 2*s**3 + s**2 + 1166*s + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/5*(-370)\/111.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-3)*(-20)\/(340\/153). Sort 57, 5, j.\nAnswer: j, 5, 57","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 10. Suppose 3*w + 90 = -m*w. List the prime factors of w\/9*(-9)\/6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15548 - 15546. Let z(f) be the second derivative of 16*f + 1\/4*f**4 + 0*f**o - 1\/3*f**3 + 0. What is z(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -77, -46, 9, 94, 215, 378?\nAnswer: 589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6950702 to the nearest integer?\nAnswer: 2636","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46381871.\nAnswer: 46381871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(-11 + (-4)\/(-1)). Suppose -22 = -2*h - 3*u, 2*h = w*h - 5*u - 30. Calculate the greatest common factor of h and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14717 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4531 and 788?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 852*l**2 + 10091*l + 9240.\nAnswer: (l + 1)*(l + 11)*(l + 840)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -38*x - 32159 + 135861. What are the prime factors of x?\nAnswer: 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -358*z**3 - 338 wrt z.\nAnswer: -1074*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 a factor of 27928?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**3 - 3*k**3 - 11*k + 4*k - 1 in the form z*k**3 + t*k + o*k**2 + w and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.5 - -4.5. Let n = 6.00000001 - u. What is n rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l + 15. Let t(p) = -3*p + 44. Give 3*t(v) - 8*w(v).\nAnswer: -v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 29651*j**2 + 5*j - 11. What is the units digit of o(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 = -4*m - 68. Solve -4*s = 3*h, -2*s = m*h + 11 - 1 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + -24. Let l be -3 + (2 - 0) + q. Let x be 1*((-65)\/25 - l). Put 3, x, 2 in increasing order.\nAnswer: x, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 366 and 732.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2310 + -302333?\nAnswer: -300023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25)\/6 - (-28865)\/(-2510)?\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 1\/3, 5\/2, 1\/5, 0.402 in ascending order.\nAnswer: -10, 1\/5, 1\/3, 0.402, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000017633 to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 14124 = -134*h. Sort 5, h, 4, -5 in ascending order.\nAnswer: h, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -1 + 0*r + 0*r**2 - 1\/3*r**3. Let j(m) = m. Determine w(j(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -223?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**5 - d**5 + 2*d**5 + (90*d**2 - 286 + 286)*(0*d**3 - 2*d**3 + 3*d**3))*(1 - 2 - 1).\nAnswer: -178*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 3*k. Let g be (-2)\/4*k + -2. Let h(y) = -4*y - 2. Give h(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16789 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 197, 389, 581?\nAnswer: 773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 + -5. Suppose -p*d + 5 = -46. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = -93 - 15. Suppose m*n = -101 + 2747. Does 63 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**3*r - 8*b**2*r**3 - 4*b*r**2 - 276*r**3 wrt b.\nAnswer: -6*b**2*r - 16*b*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(4 + (-11 - 3))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*h + 52*h + 4*q = -120, -3*q - 156 = -5*h. Solve 61*l = -h - 89 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 279040*b + 279036.\nAnswer: 4*(b + 1)*(b + 69759)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/6*r**2 - 2\/3*r + 2\/3 = 0. What is r?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from snssmnwcvnws. Give prob of picking 1 s, 1 c, 1 m, and 1 w.\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 0.4, 630, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 71*d**2 - 19*d + 6. Let m(c) = c**2 + c + 1. Calculate j(k) - 5*m(k).\nAnswer: 66*k**2 - 24*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 58718508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 0*q + 5*q)*(-4*q + 0*q + 5*q)*(42 - 42 - 3*q**2).\nAnswer: -6*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (987\/14)\/((-24)\/(-416)). Let y = 4889\/4 - z. Determine s, given that -1\/2*s**4 + 0 + 0*s + y*s**5 + 1\/2*s**2 - 1\/4*s**3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 414 + -428 + 36 + 1.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240301344 (base 5) to base 16.\nAnswer: 10d5f5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/969 and -12\/64702391.\nAnswer: 194107173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yee when three letters picked without replacement from {e: 2, y: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooee when four letters picked without replacement from {e: 9, o: 11}?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 322790823?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5432*s**4*z - 72*s**2*z + 141406*z + 2 with respect to s.\nAnswer: 21728*s**3*z - 144*s*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the third derivative of -t**5\/60 + 5*t**4\/24 + t**3\/6 + 4*t**2. Let z be v(6). Which is the closest to 3? (a) z (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39\/(20 + -7) + (-89)\/29.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.374 - 759.374. Let y = k + 770.93. Let t = 12 - y. What is t rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -146*t - 67. Let z be b(-3). Calculate the greatest common factor of z and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9 + 11)*2\/(-14). Let k be -3 - (-3 - 0) - 0. Suppose 6*z - z = k. Which is bigger: z or t?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the third derivative of 0 - 1\/270*d**5 + 0*d + 3*d**2 + 0*d**4 + 0*d**3. Factor m(c).\nAnswer: -2*c**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y + 6. Let h(o) = -28*o - 18. Let c(t) = -2*h(t) - 7*z(t). Let g(j) = -6*j - 5. Suppose -12*s + 190 = 26*s. Calculate s*g(l) - 4*c(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 - 11*q - 15. Let y be i(13). Let u = 15 - y. Solve 10 + 10 = u*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5 - 3 - 3)*(-130 - 19*u + 130) - 15*u + 11*u + 28*u)*(-3*u**2 + u**2 + 3*u**2).\nAnswer: 43*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, a: 6, o: 4, g: 1}. Give prob of picking 1 o, 1 g, and 2 f.\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 7:33 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 107646114?\nAnswer: 107646115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0, -0.159, -2\/1959?\nAnswer: -0.159","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**2 - 73*x - 865. Give h(-11).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 101627137 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1746 and -2\/123?\nAnswer: 71586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 93 + -87. Suppose 8*x - k - 18 = 0. Solve 6*r + x = -9 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 - 14*a**2 - a + 18. Let y be t(14). Let d be 2 - (-8)\/(-4 - -2). Let j be (6\/4 + d\/y)*0. Solve 18 = -j*v - 3*v + l, -2*v - l = 7 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 100 + -100.059. Let i = -0.4696881 + 0.410698. Let p = i - m. What is p rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*q - 9867 = -4*q. Calculate the remainder when q is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*w**2 + 24*w**2 + w - 3 - 19*w**2 + 8 as o*w + t + u*w**2 and give t.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66 + -62. Solve 0 + v = b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7220681, 14441360, 21662039, 28882718, 36103397?\n\"Answer: 7220679*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y + 11467 - 4*y - 5733 - 5734 + y**2.\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 42, 35, 26, 15, 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.158*-45\nAnswer: -52.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4 = -4*g, 2 = 2*g + u - 0. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 9 = 3*l + 3*k, 5*k = 4*l - 20. Suppose 1 = -2*o + l. Suppose -4*f = 5*g - 55 - 63, -12 = -g + 5*f. What is the greatest common factor of g and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 99 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - z + 1)*(4629*z**2 - 2*z + 574 - 2298*z**2 + 2*z - 2286*z**2) in the form w + f*z**2 + x*z + d*z**3 and give x.\nAnswer: -574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -531*p**3 + 2*p**2 - 365*p**3 + 209*p**3 - 4*p**2.\nAnswer: -687*p**3 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20148 and 15318?\nAnswer: 2236428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 0 + 3 = 0. Suppose -5*j + 4*r = 10, 2*r + o*r = -2*j + 29. Let 4*l**3 - 2*l**j + 2*l**2 = 0. What is l?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, 1, -2 in descending order.\nAnswer: 1, -2, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (6 - 9)\/(9\/33).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001110010111100 - -10?\nAnswer: -1001110010111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*r + 1 = 0. Let y(t) be the second derivative of -7*t**5\/20 + t**4\/12 + t**3\/6 + 7673*t. Give y(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*p - 5660*p - 2734*p + 283*p - 2539*p.\nAnswer: -10606*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2420858*f**3*q**3 - f**2*q**3 - 2*f**2*q**2 + f**2*q + 2*f*q**3 + 22237*q**3 wrt f.\nAnswer: 14525148*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2*s**2 - 3*s - 3. Let f be j(-2). Suppose 25 = 3*k + 2*k. Suppose 4*u - k*d + 10 = 0, 2*d = 5*u - 2*d + 8. What is the closest to u in 2\/3, f, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 845?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*q + 60, l = -0*l - 5*q + 4. Suppose -2*z - 4*u + 114 = 0, 0 = 5*z - 3*u - 112 - 147. What is the remainder when z is divided by l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 7 = -5*g, g - 33 = 3*o - 42 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -328*i**3 + 6079*i**2\/2 - 3704*i. Find the first derivative of u(k) wrt k.\nAnswer: -1968","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -240.06 + 238. Let l = 0.06 + p. Which is the second smallest value? (a) 3 (b) -5\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 309 - 608. What are the prime factors of (-3)\/(-2)*18\/27 - h?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrryrbbybbyyy. What is prob of sequence yy?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b**5\/7 - 227079*b**4\/7 - 4296732030*b**3\/7 + 12893602440*b**2\/7 + 25782663168*b\/7 - 34379306496\/7 = 0. What is b?\nAnswer: -37848, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 894?\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -25, 16, 5, 1, -4 in decreasing order.\nAnswer: 16, 5, 1, -4, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 7*j - 5. Let n(a) = 2*a**3 + 7*a**2 + 5*a + 8. Let g(l) = l**3 + 4*l**2 + 2*l + 4. Let w(b) = 7*g(b) - 4*n(b). Determine -4*q(s) + 5*w(s).\nAnswer: -s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-10)\/6)\/((-15)\/42) + -2 + -2. Suppose -2\/3*d - 4\/3 - h*d**4 + 2\/3*d**3 + 2*d**2 = 0. Calculate d.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-113952)\/160*(1 + -9 - (-12 + 9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**6\/6 + 2*w**5\/5 - 2*w**4 + 352. Factor n(z).\nAnswer: z**3*(z - 2)*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/36 and -77\/13768.\nAnswer: 123912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) -3 (b) -4\/13 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77838.47l in millilitres?\nAnswer: 77838470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31583*o**4 + 294*o**2 + 20*o + 2?\nAnswer: -757992*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/1*(-6)\/(-54).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -193b - 4?\nAnswer: -1941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 3 + 8*i + 0*i + 7*i**2 - 2*i. Let m(c) = -8*c**2 - 7*c - 4. Let f = 65 + -71. Give f*k(t) - 5*m(t).\nAnswer: -2*t**2 - t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.90632+-2246.3249\nAnswer: -2248.23122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**2 + 3*p**2 + 0*p**2 - 4.\nAnswer: 3*p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34.2 + 34. Sort 2\/9, -6, x.\nAnswer: -6, x, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/782845?\nAnswer: -2\/782845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 4*a**4 - 12*a + 12*a**3 - 2 + 10 - 2*a**2.\nAnswer: -4*(a - 2)*(a - 1)**2*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - 10*z + 62. Let c(x) = -6*x + 4. What is the remainder when q(7) is divided by c(-3)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*a**2 + 0*a**2 + 41*a**2 to g*a + o*a**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 0*d = -5*d - 2*b + 2, 0 = b + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 764604 minus -0.03?\nAnswer: 764604.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - 1) + (-8 - -12). Let r(b) = 3*b + 2*b**2 + a*b - b**2 + 10 - 15*b. Calculate the remainder when r(13) is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 + -7 + (-1 - (5 - 2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 + -54. What is the closest to -2\/3 in -0.3, 0.08, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/92 and -12 - (809914\/3864)\/(-17)?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vnhdc. Give prob of picking 1 h, 1 v, and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 18\/(-207) - (-117)\/23. Suppose 3*y + 5*s - 611 - 335 = 0, -u*s - 1308 = -4*y. What is the greatest common divisor of 14 and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -6*u**2 - 7*u - 11. Let d(z) = 10*z + 7*z**2 + 2*z**2 + 3 + 14. Let j(i) = 5*d(i) + 8*w(i). Factor j(o).\nAnswer: -3*(o + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 17 - 10 = -3*c, -4*c + 20 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**3 - 256 + j**2 + 4*j**2 + 258)*(-4*j + j + 4*j).\nAnswer: -4*j**4 + 5*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/4656 and -18\/15229.\nAnswer: 730992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-6))\/((-9)\/27). Suppose -5*l = -4*q - 10 + z, 7 = q + l. Let t(n) = n**2 + n + 3. Let d be t(0). Solve r + q = u, -5*r - 7 = -d*u - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 494, -2 in increasing order.\nAnswer: -21, -2, 494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 70162910?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 753\nAnswer: 5\/753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -138, -124, -94, -42, 38, 152, 306?\n\"Answer: s**3 + 2*s**2 + s - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -d**5\/60 + 11*d**4\/24 - d**3\/2 + 13*d**2. Suppose w = -4*w + 45. List the prime factors of s(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, p: 12}. Give prob of sequence dpdp.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/(-119)*(-7)\/(-2)*1\/(-8)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/12 + 2*q**3\/3 + 59*q. Let s = -10 + 6. Determine c(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**9*s**(8\/3)*s*(s*s**(-1\/20)*s*s)\/s*s*s**2*s assuming s is positive.\nAnswer: s**(1117\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 19*f - 36 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -45 (base 14) to base 7\nAnswer: -115","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y - 9. Let x be z(-13). Put -5, x, 0 in increasing order.\nAnswer: -5, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 0, 5*j - 149 = 4*j + 2*t. Let c = 153 - j. What is the fourth biggest value in 0.1, -4, c, -0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + -12 + 9 + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + (sqrt(1053) - (sqrt(1053) - ((-2*sqrt(1053) - sqrt(1053)) + -5))) + -5 + 5 + sqrt(1053)*-1 + -1)*5 + 2)**2.\nAnswer: 17280*sqrt(13) + 423504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-75)\/(-2)*24\/10. Let u(w) = -40*w**2 + 637*w + 3. Let q be u(16). Let l = q + p. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/8490 and -87\/2264.\nAnswer: 33960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uuujjjuvuuuv?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 27*n**2 - 11*n - 3. Determine i(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -120*q + 14594. Let m(y) = 179*y - 14593. Calculate 2*m(i) + 3*z(i).\nAnswer: -2*i + 14596","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 6:48 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**5\/20 - f**4\/6 + 162*f**2. Let h(g) = -3*g**2 - 5*g. Calculate 4*h(v) - 5*s(v).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 2, p: 14, t: 1}. Give prob of picking 1 p, 2 z, and 1 t.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -3 + 8 - -8?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95.17kg to tonnes.\nAnswer: 0.09517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 3:10 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 5:26 PM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 r when three letters picked without replacement from vrvzrzrrrrrrrzvrzrrr.\nAnswer: 26\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66 (base 16) to base 12.\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**9\/(f**(-1\/15)\/f) assuming f is positive.\nAnswer: f**(151\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 (base 7) in base 13?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j**3 + 60*j**2 - 154*j - 7. What is the lowest common multiple of a(-22) and 9?\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 2:36 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2566 - 4.2566. What is the smallest value in -3, -7\/4, 2\/25, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bt when two letters picked without replacement from rrvrtbu?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.0299, 3, -0.2 in descending order.\nAnswer: 5, 3, -0.0299, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1 - (4 + 1 + 23 - 12)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:28 PM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - -2 - 2)\/(-3). Suppose 6*c + 23 - 1181 = y. Is c a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*w + w + 2*w + (-2*w + w - w)*(-1 + 0 + 2) - 5*w + 5*w - 57*w to s*w + l and give s.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2662) + sqrt(2662)*1*4 - (sqrt(2662) + sqrt(2662)*-2)*-5)\/((sqrt(704) + 2*sqrt(704)*-3)*-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9711, 38961, 87705, 155937, 243651, 350841, 477501?\n\"Answer: -i**3 + 9753*i**2 - 2*i - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0233 + 3.0233. What is the nearest to -8 in i, -0.1, -7\/10?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 2*h = -4, 2*a - h - h + 656 - 1308 = -636 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4 = a. Suppose -3*q - 4 = -a. Let m = 3 - q. Solve 0 = -4*v - m*c - 8, 4*v + 3*c - 9 = 6*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14 (base 9) to base 3.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 - 16*b. Let w(a) be the second derivative of -a**4\/6 - 5*a**3\/3 - 33*a. Let c(p) = 8*w(p) - 5*y(p). Let d(g) = -17*g. What is c(d(n))?\nAnswer: -289*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-21)\/(-9))\/((-2)\/(-66)). Let y be (-4)\/(-14) + (-22)\/z. Suppose y = -l + 7 - 4. What is the remainder when 6 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 431262 - 1?\nAnswer: 431261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-2))\/(4*4\/(-32)). Let r be (-4 - -3)*-9*1*h. Let u = 89 + r. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -35325754 - -22125754. What is w rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18435, -2, -1, 3.\nAnswer: -18435, -2, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.032291316 to 3 decimal places.\nAnswer: -1.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 13469*s - 40404. Determine f(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3)\/(-9))\/((-2)\/(-186)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 0*f = -f + 17, 2*l + 3*f = 30. What is the greatest common factor of 21 and l?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4978, 9952, 14926, 19900, 24874?\nAnswer: 29848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - p + 296. Let x = -19 + p. Suppose -64 + 1489 = 55*l + 20*l. What is the remainder when x is divided by l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-6) + 45\/27. Let v(y) = 98*y**2 + 1 + 108*y**2 + 56*y**t. Is v(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242114 is divided by 171.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 AM and 2:22 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1256, 5046, 11360, 20192, 31536?\nAnswer: 45386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 102216?\nAnswer: 511080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/2001 and -49\/7337?\nAnswer: 22011","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -6 + 1 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u**3 - u**2 + 4*u - 2. Let x be t(3). Let s be ((-2)\/4)\/((-8)\/x). Let p = 0.09 + 0.41. Which is the third smallest value? (a) -7 (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23685, -23684, -23681, -23676, -23669, -23660, -23649?\nAnswer: -23636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -2*f - 4*v - 5, f - 1 = -2*v. What are the prime factors of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -202002340 (base 5) in base 12?\nAnswer: -332491","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-63)*33\/11.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i**3 - 30*i**3 - 7*i**3 - 4*i**3.\nAnswer: -37*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 - 40. Suppose -w = -n - 83. Let k = n - -134. What are the prime factors of k?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21120 and 37760.\nAnswer: 1246080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2 = 0, 0*z = z + 2*l - 26. Is 6 a factor of (1 - -5)*z\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16500672 to the power of 1\/3, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14 - -23. Suppose 0 = -3*t + v + 3. Solve 3*j = t*j + 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/((-135)\/(-20) - 3). What is the closest to -2\/3 in h, 1\/4, 2\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a litre in millilitres?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the second derivative of -f**5\/20 + 5*f**4\/12 + f**3\/2 + 3*f**2\/2 + 173*f. Calculate y(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t = 2*u + 150, -4*t = -2*u - 156. Let j = 77 + u. Solve 3*w - j*r = -15, w + 2*r + 5 = 6*r for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1728 by 2.\nAnswer: 864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 455.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.47 and 1.2?\nAnswer: -0.564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191, -195, -201, -209?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 248, 2, 5, -5, 3, -141 in descending order.\nAnswer: 248, 5, 3, 2, -5, -141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480 and 720.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -52?\nAnswer: 4b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -210 + 121. Let s = 182 + v. Let g = s - 91. Which is the nearest to 2\/5? (a) g (b) 5 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {l: 3, v: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + (3 - -130)*2)*(-96 + 9168\/96)?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 7:41 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 497 = -774*g + 781*g. Calculate the highest common factor of g and 639.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l + 3 - 14*l - 3.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) - (sqrt(392)*-3)\/sqrt(8) - ((sqrt(294)*3 - sqrt(294))\/sqrt(6) + sqrt(49)))\/(sqrt(7) - sqrt(175)*-2 - (sqrt(210)\/sqrt(6))\/sqrt(5)).\nAnswer: sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 66746\/9 + -7416. Let r = -4.0656 - 0.0444. Let t = 0.11 + r. What is the fourth smallest value in 3\/10, 0.4, v, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 14\/5 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1899783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 94, 1, 0, -9.\nAnswer: -9, 0, 1, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23.94 - 24.34. Which is the closest to 2? (a) -0.42 (b) 0.1 (c) u (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 9*o**2 + 13*o - 5. Let y(b) = 5*b**2 + 7*b - 3. Give -6*a(t) + 11*y(t).\nAnswer: t**2 - t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/13 - (-3 - 1). Suppose x - 77 = -3*q, -5*x - k*q = -0*q - 385. Suppose -5*d + d = -5*h + x, -5*h - 5*d = -95. Which is greater: h or 15?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.01 + 45.99. Let g = 25 - b. Let w = 21.9999872 + g. Round w to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 2 r when three letters picked without replacement from {r: 2, b: 9}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 7 + 11 = 0. Suppose 11 = 2*g - r, -l*g - r = -0*r - 9. Suppose -350 - 430 = -g*b. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 5. Let k be -7*(3 - 2)*-1. Let s be c(k). Suppose 136 = 4*a - s*p, 5*p - 112 - 3 = -3*a. Solve 2*f + 9 = -1, -4*r - a = 3*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316*d + 303*d - 8112 = 0. Let p = d + 624. Solve l + 4 - 2 = p for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(528)*-1 + sqrt(528) - sqrt(528))\/(3*sqrt(704)) - (3 + (sqrt(300) - ((sqrt(300) - 2*sqrt(300) - sqrt(300)) + 0)**2) + 2).\nAnswer: -61*sqrt(3)\/6 + 1195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(4\/5)*w*w\/(w**(-1)\/w)*(w\/(w\/w**5*w))\/(w\/(w\/(w**(3\/8)*w))) assuming w is positive.\nAnswer: w**(297\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9288, 9228, 9172, 9120?\nAnswer: 9072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -279 + 510. Calculate the remainder when j is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 2*i = 26, -7*c + 9*c = -4*i - 20 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123 = 8*l - 35. List the prime factors of (-1 - l)\/(3\/15).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1\/(10\/(-330)*-11) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7351976?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 34?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 341488 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**4 - v**3. Let q(n) = 86*n**5 - 2*n**4 + 5*n**3 - 47*n. Let t(u) = -q(u) - 2*x(u). What is the second derivative of t(o) wrt o?\nAnswer: -1720*o**3 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67468991041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7748393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-224)\/77 + (-2)\/2 and -95\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 282975015 to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - i - 6. Let a be 39\/15 + 12\/30. Let m be k(a). Determine w so that 0*w + m + 1\/7*w**2 + 3\/7*w**3 + 2\/7*w**4 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1\/18 (b) 2\/5 (c) -13 (d) 2\/615 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 3 = 0, 3*f + 113 + 76 = -2*g. Does 6 divide (2\/3)\/((-3)\/g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -4. Let z = -1.1 - q. Are 2 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 (base 8) in base 10?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -18. Let r = 5.016 - y. What is r rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45863 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -4*x + 1. Let s = -14 - -15. Determine w(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:38 AM?\nAnswer: 4:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18882353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**2\/8 + 507*p + 2034 = 0 for p.\nAnswer: -4, 1356","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 10388 (c) -1\/5 (d) -4.731\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124325494 divided by -58.\nAnswer: -2143543","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 3:12 AM?\nAnswer: 1:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -7737\/5 at least as big as -1548?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36478 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 76*u**2 - 18*u - 684.\nAnswer: 2*(u - 3)*(u + 3)*(u + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19 - 20. What is the nearest to -1 in x, 1, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 7*i = 3*o + 32, 3*i = -4*o - 28. Let f be 1 + -3 + o\/(-1). What is the second derivative of 2*h + h - 3*h - 3*h**2 + f*h wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 88*c**3 - 235718 + 235718 - 241*c**3.\nAnswer: -329*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 6 = 0, 0 = -5*c - 3*i + 3 + 6. Suppose 0 = -c*g - 3*g. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262131 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 6:47 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 65 and 395.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-12) - 982\/(-1064). Let v = k - 47839\/532. Let z = v + 89. Put z, 3\/2, 0.42 in descending order.\nAnswer: 3\/2, 0.42, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 621 + 705 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 65 = 3*x. Let g be (165\/x)\/((1 - 2)\/6). Calculate the greatest common divisor of 15 and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*x + 942 - 154 = 208*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2093904 divided by -174492.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2\/3, -3, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -63*x - 380. Let l be i(-6). Put 18, l, -1, 4 in descending order.\nAnswer: 18, 4, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*c + 55*c + 5*u = 85, 0 = 3*c - 2*u - 50. What is the greatest common divisor of c and 2500?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uzuu when four letters picked without replacement from {z: 5, u: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 439211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 218059798 to the power of 1\/2, to the nearest integer?\nAnswer: 14767","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1796 + -1636. What is the least common multiple of w and 30?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of q**3\/6 + 2*q. Suppose -18 = -5*y + 2*y. Let t be h(y). What is the highest common divisor of 54 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**4\/4 + 5039*u**3\/4 + 99041*u**2\/2 - 50780*u = 0.\nAnswer: -40, 0, 1, 5078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -7, 2, -4\/7, -1 in increasing order.\nAnswer: -7, -1, -4\/7, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -157, -144, -129?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131106.\nAnswer: 2, 3, 21851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1326261 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 125343 and 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/3 - (21\/3 + -10)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/2*(-315)\/(-2520))\/((-2)\/(-464))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 t when two letters picked without replacement from lgttgvtt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 1058.\nAnswer: -1\/529","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 11*d**3 - 2*d - 2. Let u(m) = -637*m**3 + 117*m + 117. Determine 2*u(l) + 117*w(l).\nAnswer: 13*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7659 is divided by 3819.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q**3 - 8*q**2 + 28*q - 41. Let z(v) = -4*v**3 + 9*v**2 - 33*v + 42. Determine -7*t(c) - 6*z(c).\nAnswer: 3*c**3 + 2*c**2 + 2*c + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 504, 5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40959616 * 0.2.\nAnswer: -8191923.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4398 - 4069.9. Let u = z - 331. What is u rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20 by 2833.\nAnswer: -20\/2833","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 588 by 49.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1700) + 3 + (4 + sqrt(1700))**2 + (1 + -3*sqrt(272) - sqrt(272)).\nAnswer: 74*sqrt(17) + 1720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 11.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 3 = -13*m. What is the units digit of (5 - 3 - m)*3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/8 + 775\/10. Let d(u) be the first derivative of u**3\/3 - u**2\/2 - u - 22. Let t be d(-3). What is the highest common factor of j and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7254315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 31577152 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 m, 1 t, and 1 o when four letters picked without replacement from {t: 4, g: 6, o: 3, m: 6}?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4904117?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -1, 6 in ascending order.\nAnswer: -1, 0, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 5, 0, -0.79, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15531 + 15534. Let x(g) be the second derivative of -1\/3*g**3 - 35*g + g**4 - t*g**2 - 1\/21*g**7 + 1\/5*g**5 - 1\/5*g**6 + 0. Let x(f) = 0. Calculate f.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64636.4919 rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 4 (b) -2 (c) -0.05 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 12*f - 51. Let r(p) = p - 4. Let t(x) = 54*r(x) - 4*v(x). Let i be t(4). Suppose -18 = -g + i. What are the prime factors of g?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8\/7, 0.1, -1\/6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26.96 - 27. Round l to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the second derivative of t**6\/600 - 9*t**5\/25 + 162*t**4\/5 + 31*t**3\/2 + 3*t + 56. Let p(x) be the second derivative of h(x). Factor p(w).\nAnswer: 3*(w - 36)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(1300) + -1)**2.\nAnswer: -20*sqrt(13) + 1301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2998 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + m + 1158*m**3 - m.\nAnswer: 1158*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 27, -0.4, -619, 69?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + sqrt(833)))**2 - sqrt(833) - ((-1 + sqrt(17))*-6*1)**2.\nAnswer: -187*sqrt(17) + 6885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (-42)\/2)*(-4*1)\/(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 354936648*x**2*y**2 - 163*x**2*y - 11*x**2 - 2*x - 3*y - 2 wrt y?\nAnswer: 709873296*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 19 + 1 = 0. Let s = p - -15\/4. Which is the third smallest value? (a) s (b) -0.5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170598 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (98\/(-8))\/(-1) - 1\/4. Calculate the greatest common factor of 216 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*g - 3)*(-3*g - 2*g + 2*g)*((0*g + 2*g - g)*(-1 + 1 - 1) + 0*g + 2*g - 11*g).\nAnswer: 60*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 - 7*c + 48. Suppose 37 = -2*j - 3*f, -5*j - 47 = 66*f - 65*f. Give a(j).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvxvxvvxvxv. Give prob of sequence xxx.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12.83 + 13. Let y = 0.08 + a. Let v = -2.25 + y. Is -3 not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/((-2)\/(-16)). Let m = v + 14. Suppose m*g = 5*g + 2*z, 5*z + 11 = -2*g. Solve 5*c - g = 3 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14363231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 43 - -154?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k + k - 2*k)*(3*k**2 - 2*k**2 + 0*k**2).\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j**2 - 2934*j**3 - 3*j**2 + 2*j - 1985*j**3 - 786*j**3.\nAnswer: -5705*j**3 - j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 33*o**2 + 16*o + 64. What is the units digit of w(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3579*p + 28622. What is y(8)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q - 651*q**3 - 648*q**3 - 2 + 1300*q**3 + 2*q**2 as m*q**3 + o*q**2 + t*q + v and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -814 - -813.99998873. What is y rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020110212 (base 3) in base 13?\nAnswer: -b153","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 365 = 5*h + 2*d, -h = d - 64. What is the remainder when h is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1167086, -0.3, -3, 1\/2, -5, 1?\nAnswer: 1167086","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -61988 and 131.\nAnswer: -8120428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 32357209 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 6 - ((-19 - 4) + -1 + 8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1801358 rounded to three dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 59 * 2\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 + 7*x**2 - 3*x - 9. Let q be n(-6). Let c = q - 23. Calculate the greatest common factor of 22 and c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -93, -5, 0, -5\/2, 3, -4\/5.\nAnswer: -93, -58, -5, -5\/2, -4\/5, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1289 and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**2 - 4*n + 4. Let w be l(4). Suppose -w*u - 293 = -5*z, -3*u - 201 - 19 = -4*z. Let g be 1\/2 - 20\/u. Which is smaller: g or 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 80873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 - 43. Let h be (k\/10 - 4)\/(6\/(-105)). What is the highest common divisor of 14 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27942 - 27942.25787. Round z to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -703 - -716.8. Round m to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of f**8\/2520 + f**7\/225 + f**6\/90 - 2*f**5\/45 - 14*f**4\/45 - 32*f**3\/45 - 68*f**2 + f. Let v(c) = 0. What is c?\nAnswer: -4, -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 AM and 11:36 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/9 + 22*q**2\/9 + 20*q\/9 - 16.\nAnswer: 2*(q - 2)*(q + 4)*(q + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1267\/(-47) - 324\/7614.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -989*h - 984*h + 1971*h. Let b(r) = 4*r**2 - 163*r. Give b(x(c)).\nAnswer: 16*c**2 + 326*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822 is divided by 477?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-6\/13)*f\/f**(2\/7)*f*(f**(-2\/9))**46 assuming f is positive.\nAnswer: f**(-7346\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.402782 to the nearest integer.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/((w**(1\/4)\/w)\/w*w)*w)\/w)**(-5)*w**(-5)\/(w**(-2\/5)*w) assuming w is positive.\nAnswer: w**(-287\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 17*o + 4. Determine a(3).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14918687 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 12*v + 11. Is k(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 959019.5 * -0.4.\nAnswer: -383607.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -37.4 - -32. Let l = 4.3 + w. Let z = 0.6 - 0.7. What is the closest to z in l, -0.2, 5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11655 = -19*f - 44*f. Is f a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -229, 2 in decreasing order.\nAnswer: 2, -1, -229","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 42\/(-9))*(-9)\/(-12). Let l(d) = 146*d - 2*d**q - 146*d. Let g(f) = 4*f**2 - 7*f**2 + 4*f**2. Calculate l(g(m)).\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -15. Let i(c) = -c**3 - 4*c**2 - 3*c + 1. Let u be i(-3). Is 4 a factor of t\/(-9)*(-13 + u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 1, 3, 3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 3 + 8 - 9) + -3 - (-4 - 32)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**2\/7 - 679303400*z\/7 + 57681638656445000\/7 = 0. Calculate z.\nAnswer: 169825850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - 4*u**2 - 4*u - 14. Let a be o(-6). Suppose 0 = 4*v + 2*j - a, -2 = 3*j + 1. What is the remainder when v is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -2*c + 1. Let o(a) = a**3 + 2*a**2 - 2*a - 1. Let t be o(-3). Let y be g(t). Let m = -5 + y. Solve -11 = m*r + u, 0*u = r + u + 2 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55888879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -343045, -343028, -343009, -342988, -342965, -342940?\nAnswer: -342913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 17728115050 to the nearest one million.\nAnswer: 17728000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1290 is divided by 27?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-24))\/((-273)\/(-4004))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1382 (b) 65 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1\/28, -5\/2, 1\/3 in decreasing order.\nAnswer: 1\/3, 0, -1\/28, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tllllet.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) -3.51 (c) -0.043 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 4*g**2 + 130*g + 53. Calculate i(-30).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pplppfplhllkkkkklkp. Give prob of picking 1 h, 1 l, and 2 p.\nAnswer: 25\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, i: 2, o: 11}. Give prob of picking 1 i and 1 o.\nAnswer: 22\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g - 57. Determine d(11).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21746, 43877, 66008, 88139, 110270, 132401?\nAnswer: 154532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.3 + 0.3. What is the second biggest value in -0.5, 2\/3, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**2. Let l(n) = -2*n**3 - 3*n**2 + 1. Suppose 4 = -u + 5*u, 4*p - 21 = -u. Suppose 1 + 14 = -p*x. Let k be -2*2\/4*x. Determine k*d(h) - l(h).\nAnswer: 2*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(54\/15)*(-4)\/2. Solve -3*r = -2*r - l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/5 of a centimeter?\nAnswer: 54000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**4 + 201 - 3*y**2 + 4*y**3 - 203 - 2*y**3 + 2*y to the form x*y + l*y**4 + g + m*y**3 + q*y**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 11*w**2 - 5*w - 2*w**3 + 17*w + 24 + 2*w**3. Let o be s(-10). Find the first derivative of -3*d + 3*d + 7*d**4 - 13*d**4 - o wrt d.\nAnswer: -24*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 157621*o - 157621*o + o**3 - 29*o**2 + 43*o**5 + 4 wrt o?\nAnswer: 2580*o**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1009 + 997 - 3014 + 1005 + 498*w.\nAnswer: 498*w - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -2*b + 5, 0*b - b - 2*p = -1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 198969011?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 126, 123, 108, 75, 18, -69?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - 47286\/(-9)) + 6?\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 15, 9, -19, -81, -189, -355, -591?\n\"Answer: -2*d**3 + d**2 + 5*d + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/25 + (-231)\/5. Let f = z + 49. Suppose -f*b + 4 = -5. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + v**2 - v + 1. Let g(q) = -q**3 + 6*q**2 - 7*q - 4. Let b be g(4). Let r be z(b). Is (-2178)\/(-27) + r\/3 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = m - 16, 0*m + 3*l = -3*m. Let f = 9 - m. Suppose -k + 4 = -f*k. Let w(y) = y + 1. Calculate w(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**5 + 111*q**4 - 1182*q**3 + 2910*q**2 - 2703*q + 867 = 0. Calculate q.\nAnswer: 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + n = 6*n + 205, -n - 95 = -2*i. Determine p so that -i*p**2 + 17 - 65*p - 7*p + 31 - 6*p**3 = 0.\nAnswer: -4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/17)\/(c\/(c**(17\/6)\/c)))**(2\/3) assuming c is positive.\nAnswer: c**(97\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z**3\/3 + 493946*z**2\/3 - 8*z\/3 - 1975784\/3 = 0. What is z?\nAnswer: -246973, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 29 = 3*u, -8*i = -7*i - 5*u - 19 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzzyyzzezezzzez. Give prob of picking 2 e and 1 z.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 9, r: 7}. What is prob of sequence rl?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -287 + 1337 - 611*o**4 - 671*o**4 wrt o?\nAnswer: -5128*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8163064 centuries to years.\nAnswer: 81.63064","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 2781.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 41\/5, 2\/11, 1, -1, 0 in descending order.\nAnswer: 41\/5, 1, 2\/11, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7085588197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 19*c - 30. Let u be m(-21). Solve 0 = 5*y - 2*t - 11, -10*y = -12*y - 3*t + u for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -0.2 (c) 0.02 (d) 110 (e) -0.5 (f) -523\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yphymhzpfpfh. What is prob of picking 2 p and 1 f?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 6 + 1. Let u be 2\/w*9 - -3. Let j = -2.975 + -0.025. Which is bigger: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-11 + 28 - 16)*318863 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t**3 + 2*t**3 + 6*t**3 - t**3.\nAnswer: 13*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5*i + 30, -3*p + 4*i = -p + 18. Let g = 1\/2 - p. Which is the second biggest value? (a) g (b) 7 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3763898?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8.593 + 8.89355. Let p = -0.05 - -0.35. Let f = p - k. Round f to four decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4743105.1 rounded to the nearest 100000?\nAnswer: -4700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4128335940 - -4130300050.799989. Let v = -1964109 + u. Let x = v + -1.8. What is x rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = w + 37, -3*v - 25 = 17*w - 19*w for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 40 = 4*x, 18*q = 13*q - 6*x - 56 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 5:22 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z - 1. Is w(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -6 + 82. Let c = 260 + -92. Let d = 263 - c. What is the highest common factor of i and d?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -402, -391, -366, -321, -250, -147, -6?\n\"Answer: h**3 + h**2 + h - 405","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k - 9. Let z be m(-5). Let d(x) = 30 + 4*x + 0*x + 2*x - 5*x. Calculate the remainder when d(z) is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 26394?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 46 = 2*j, -3*j + 4*j - 33 = -d. Let r = 18 + j. Is r a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 199625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -66820.\nAnswer: -1\/66820","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 149 + (-90 - 23) - 37?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**2 - 2260*w - 839*w - 2256*w + 7621*w - 2266*w.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -2*b**2 + 38*b - 150. Let n be y(14). Is -12 bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1234 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y = -13*y + 51*y - 78 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**2*n*u + 19*f**2*n + 3*f**2*u - 6*f**2 - 3*f*n*u + 548*f*u + 4*n wrt f?\nAnswer: -10*n*u + 38*n + 6*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 6*f**2 + 9*f. Let y be (4\/(-8))\/((-4)\/184). Let j(k) = 13*k**2 - 8*k - y*k**2 + 5*k**2. Calculate -7*j(x) - 6*t(x).\nAnswer: -x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**3\/2 + 13*s - 4. Let a(x) = -97*x**2. What is a(l(i))?\nAnswer: -873*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 401 and -0.5?\nAnswer: -200.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16317 is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-372*o**4 + 1044*o**4 - 1 - 468*o**4)*(-o + 4*o - 4*o).\nAnswer: -204*o**5 + o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7.1 or 2\/14019?\nAnswer: 2\/14019","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 7) to base 12\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 226556.99 times -5?\nAnswer: -1132784.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -54559*q + 2616. Is k(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4 + 11, -2*y + 15 = o. Let m = 4 - o. What is the units digit of (-4 - 3\/(-3))*m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -13. Let f(b) = -b + 26. Give -4*f(o) - 7*k(o).\nAnswer: 4*o - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k + 15. Let x(i) = -19*i + 46. Suppose -2*m + 14 = -2*d, -3*m + 1 + 4 = 5*d. Let l(g) = d*x(g) + 7*r(g). List the prime factors of l(-15).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15893 is divided by 1133.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1142 - 204. Suppose -r = -14*n + 742. Is n a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**7\/2520 - 49*d**4\/12 + d**2 - 76*d. Let k(f) be the third derivative of z(f). Factor k(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a - 3. Let p(m) be the second derivative of -m**3\/6 + 5*m**2\/2 - 1241*m. Determine 5*j(k) + 3*p(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5\/9 - 31*s**4\/3 - 21*s**3 - 95*s**2\/9.\nAnswer: s**2*(s - 95)*(s + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 8 = -4*g + 2*g, -m + 2 = 0. Let b = g + 5. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - -10 - (17 - 8 - 14).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v - 10. Let h(x) = -28*x + 31. What is h(d) - 7*p(d)?\nAnswer: -14*d + 101","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -222\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 + 12*t**2 - 25*t + 39. Give l(6).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -69*j**2 - 17*j**2 - 38*j**2 - 215*j**2 to p*j + v + c*j**2 and give c.\nAnswer: -339","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 10:35 PM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/42 (b) -4 (c) -0.4 (d) -11626\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 493740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 4:58 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -13, -6 in decreasing order.\nAnswer: -4, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 5*q + 162 = 0, -270 = 2*d + 3*d + 4*q. Let n be 22\/(-77) + d\/7. What is the tens digit of (n - -1)*290\/(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1557591218 to the nearest integer?\nAnswer: 1159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 6:49 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the third derivative of -a**5\/10 - a**4\/8 + a**3 + 4*a**2. Let d be c(-5). Let f = d - -222. Does 16 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(0 + (-3)\/15). Suppose -5 = -3*b - 4*t + k, 0 = 2*b + 2*t - 4. Let s = 6 + b. Solve -3*w - 1 + 4 = 2*p, 4 = s*w - 5*p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -266*j**2 + 135*j**2 + 132*j**2 - 314 in the form b*j**2 + w*j + l and give l.\nAnswer: -314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 + 5*y**2 + y + 5. Let s be o(4). Let n be 105\/s + 3\/(-15). Solve 4*a = -0*k + n*k + 24, 2*k = -6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 - 55*f**2 - 11*f**2 - 114*f**2 - 256*f**2.\nAnswer: 2*f**3 - 436*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43219 is divided by 8491?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5741 + -5743. What is the biggest value in 1, g, 113.6?\nAnswer: 113.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -462?\nAnswer: -461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 7 = -2*y + 5*y, 5*y + 10 = -2*x. Let l be 1\/4 - 127\/y. Let q = 29 + -24. Solve -16 = 5*f + 4*r - 3*r, q*f - 3*r = -l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the third derivative of -7*b**5\/60 + b**2 + 3. Let m(j) = -11*j + 13. Let f(d) = -6 + 5*d + 1 - 1. Let u(w) = 13*f(w) + 6*m(w). What is u(h(q))?\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/4? (a) 5 (b) 0.09 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 502420 (base 15) in base 8?\nAnswer: 16406613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66700*p**3 + 38019*p**2 wrt p?\nAnswer: -400200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -4c9?\nAnswer: -4cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 686 - (-15 - (-28 + 12)). What is the greatest common factor of i and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**9\/15120 + r**8\/1680 + r**7\/630 + 3*r**5\/20 - r**4\/8 + r**2 + 32*r. Let x(u) be the third derivative of z(u). Factor x(w).\nAnswer: 4*w*(w + 1)*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + 9. Suppose -2*t + u = 6. Suppose -2*w = 3*q - 8*q + 10, -5*w + 5*q = 10. Solve -t*k - 29 = -10*k - 2*a, -k + 2*a + 1 = w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l + 374. Determine u(-3).\nAnswer: 347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15950969, -63803895, -143558771, -255215597, -398774373, -574235099?\nAnswer: -781597775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -320\/7 - -46. Let x = 0.28 + 0.72. What is the nearest to x in c, -1\/4, -0.07?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 5*k - 13, 0 = 4*m - 3*m + 5*k + 22. Which is the second biggest value? (a) 0.3 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 - 130. Is ((-23832)\/h - -7)\/((-2)\/10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**2. Let k(l) = 22*l**2 + 23. Determine k(y(a)).\nAnswer: 198*a**4 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100202210020 + -10110011?\nAnswer: -100220020101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of -1997*o**4\/4 + 17*o**3\/3 + 52*o + 2334. What is the third derivative of b(v) wrt v?\nAnswer: -11982","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b + 4*a - 11, -855*a = -b - 852*a + 6. Solve b = -y - 5*j, 7 + 12 = 3*y + j for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/12)\/(-7) - (-11)\/12.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59 times 0.02?\nAnswer: -1.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -9 - -6 - -19. Solve 0 = -5*a + h - z, 3*a + 4*h = 8*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - -127?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20289?\nAnswer: 3, 6763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 39\/(1 + 0 + -2). Sort -1, -2, 2, y in ascending order.\nAnswer: y, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -15*c**2 - 12*c - 48. Let r(z) = 7*z**2 + 6*z + 22. Let j(p) = 6*a(p) + 13*r(p). What is j(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -48*b + 4. Let w(i) = 49*i - 3. Let f(d) = 3*c(d) + 4*w(d). Let q(v) = -177 + 177 + 2*v. Give f(q(m)).\nAnswer: 104*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -88 (b) -9 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 631*s = -5*f + 626*s - 40, -3*f + 4*s = -32. Solve f = -7*w + 90 - 48 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by -303532?\nAnswer: -59\/303532","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**2 + 1716045*w - 10296450 = 0.\nAnswer: -343215, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n**3 - 41*n + 0*n**3 + 41*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 88?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/(-27)*-1 + (-248)\/(-279))*3. Let m(x) = -3*x**3 + 3*x**2 - x + 3. What is m(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 6*b + 2 + 19\/4*b**2 + 1\/4*b**3. Find m such that w(m) = 0.\nAnswer: -12, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 136455318 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -26. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10296 is divided by 2486.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 10546.1?\nAnswer: -10546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33343, 32813, 32283?\nAnswer: 31753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 450*t**2 + 10125*t.\nAnswer: 5*t*(t - 45)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3970521234.\nAnswer: 2, 3, 23, 3196877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 5*h**4\/4 - h**3\/6 - h**2\/2 + 5*h. What is the units digit of t(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) 2 (c) 11 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sfsrhssraaha. Give prob of sequence hsfa.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence og when two letters picked without replacement from {g: 7, o: 12}.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3550 + -1835. What is the hundreds digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -108*h**3 + 24*h**2 - 148*h + 262078?\nAnswer: -324*h**2 + 48*h - 148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37540 = -38*d + 28*d. What are the prime factors of d?\nAnswer: 2, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -283 (base 13) in base 6?\nAnswer: -2021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 12:10 PM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 368 and 10196176?\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c**2 - 7*c**2 - 3 - 2*c**2 - 28*c**3 - 6.\nAnswer: -28*c**3 + 4*c**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 88916 + -88913.98084. Let l = -10.48594 - q. Let x = l + 12.5. What is x rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 47 and 9071?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 316383832 and 10284.\nAnswer: 3428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 22. Let q be (x + 3)\/3*-4. Solve 2*d = 4*d + q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.67 - 0.33. What is the closest to 1 in -3, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -20*i. Let d(n) be the third derivative of n**5\/120 + 14*n**3 - 91*n**2. Let o(g) be the first derivative of d(g). Determine o(j(z)).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l + 5. Let h be r(-8). Let n = h + 13. Is 1 + ((-4)\/(-7))\/(n\/49) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**1*q*q**(-11)*q*q**15*q**(-2\/3))**(-1\/6))**(2\/3) assuming q is positive.\nAnswer: q**(-19\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 16 = 24. Let p = -6 + k. Let g(b) = 16*b + 21. What is the tens digit of g(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o - 28*o - 141 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 494722 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-225))\/(9*(-208)\/1170).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1534416 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 51?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1688 + -1683. Solve 0 = 314*k - 313*k - o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - v - 342, 2*h + 7*v - 164 = 4*v. Let y = h + -81. Suppose u = y*x - 3953, -1053 = -3*x - 3*u + 1923. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 0 + 10*o**2 + 0*o - 9\/10*o**5 + 14*o**4 + 196\/3*o**3 + 1\/60*o**6. Solve h(n) = 0.\nAnswer: -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-18) + (-352)\/36. Let g be 44\/10 + (-6)\/m. What is the second derivative of -3*v**5 + 7*v**g + v + 4*v wrt v?\nAnswer: 80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u. Let a(m) = 51*m + 3. Let s be a(3). Suppose -8*w - 36 + s = 0. Let i(j) = -3 + 6*j + 3 - w*j. What is i(g(x))?\nAnswer: 36*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189075 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*t. Suppose q + 3*j - 13 + 1 = 0, -4*q - 5*j + 27 = 0. Suppose q*y - 405 - 66 = t. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15279*o = 5*b - 15284*o - 30, o + 0*o = -4 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3839, 3842, 3845, 3848, 3851, 3854?\n\"Answer: 3*b + 3836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 55, 0, 3324\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2. Suppose 82 = 26*i + 15*i. Let n(d) be the third derivative of 16*d**i - 5\/12*d**4 + 0*d**3 + 0*d + 0. Calculate f(n(k)).\nAnswer: 100*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and 1129.3.\nAnswer: 338.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**2 - z. Calculate the remainder when q(8) is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/3 of a year in months?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is 12762 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 u, and 1 c when three letters picked without replacement from sjbpbucucsjuus?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 25011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2511*y - 39 = -2*w - w + 2514*y, 3*y = 296*w + 4*y + 13 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-342)\/(-3))*-45.\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 5*a**2 + 7*a + 14. Let r be u(-4). Suppose 4*i - 70 = 5*m, r*m - 4*i - 6 = -46. What is the nearest to m in -1, 0, 1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -4*j - 0*j + 142, -5*j - 5*y = -140. Let m(p) = -4*p + p + j - 20. Does 5 divide m(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87\/1183 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 263473 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**3 - 7*g**2 - 4*g + 4. Let x be p(-7). Let h(m) = 2*m + 8. Let l be h(4). Calculate the greatest common factor of l and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 78617857 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1089*d - 1075*d = 0. Let p(r) be the first derivative of 0*r**2 + d*r - 2\/3*r**3 - 1. Let u(f) = 3*f. Give u(p(h)).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1278177.\nAnswer: 3, 199, 2141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 312 (base 8) in base 6?\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = -2*f - 14, -35*y = -33*y - 5*f - 14. Suppose 0 = -2*j + 4*a + 4646, -a = -y*j - 6*a + 4691. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -y**3\/4 - 961*y**2\/4 - 57840*y - 57600 = 0.\nAnswer: -480, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8832*n**5 + 13*n**2*x - 21861145*n*x - 2*n - x wrt n.\nAnswer: 176640*n**3 + 26*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 0, 2, -0.0503, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2a6 + -2?\nAnswer: 2a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, -0.3, 529, 0, 1.9, 1\/13?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of -i**5\/90 - 107*i**4\/54 - 211*i**3\/27 - 35*i**2\/3 + 283*i - 1. Find f such that j(f) = 0.\nAnswer: -105, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**3 - 8*f**2 - 4*f - 6. Let o(b) = -4*b**3 + 9*b**2 + 3*b + 6. Let m(a) = 3*j(a) + 2*o(a). What is the units digit of m(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16572?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*l - 5648 = -37*l. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 316829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p + 1899. Let s(w) = 10*w + 5695. Calculate -2*s(a) + 7*x(a).\nAnswer: a + 1903","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q\/q**(1\/5))\/q*q*q**(-2\/57))\/(q**(-25)*((q\/(q\/(q*q*q**(-14)*q)))\/q*q)\/q) assuming q is positive.\nAnswer: q**(11048\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.039 in 0.5, 0.3, 4, 0, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -2*u + 5. Let p(t) = -4*t + 10. Suppose 12*k - 1153 = 8*k + 3*d, -5*k - 3*d + 1448 = 0. Suppose -k*s + 284*s - 65 = 0. What is s*r(w) + 6*p(w)?\nAnswer: 2*w - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 115059 is divided by 115028?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(-42*v**3 - 51*v**3 + 122*v**3)*(2 + 15*v - 8*v - 3*v - 7*v).\nAnswer: -87*v**4 + 58*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from qkkcqkdqqdqqqcqqqd.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -6*g - 4. Let j(l) = -1. Calculate 5*j(d) - t(d).\nAnswer: 6*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2054 - -2058. Solve -9*d = -5*q - 5*d + 20, 8 = 2*q + z*d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and -0.549.\nAnswer: -3.549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a microgram in nanograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 31150896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3235f (base 16) in base 5?\nAnswer: 23040123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6490508\/13 + -498966. Let s = h - 304. Sort 1\/3, 0.5, -1, s in increasing order.\nAnswer: -1, s, 1\/3, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476943.91 rounded to the nearest 100?\nAnswer: 476900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46624802 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -40 - -40.4. Which is the nearest to 0.1? (a) 108 (b) -4\/9 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -3\/2, -8, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10816397.\nAnswer: 109, 99233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/125 at most as big as 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.08 - 0.12. What is the biggest value in i, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkkkook?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*f + 40 = -140*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/2)\/((a*a\/a**(1\/3))\/a))\/(a**(1\/3))**(18\/11)*(a**11\/(a*a**11))**9 assuming a is positive.\nAnswer: a**(-641\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 + 8 - 4*w + (12 - 3 + 2)*(3 - 3 - 2*w).\nAnswer: -26*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 5835 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 1 + b)*(3 - 2 + 0) - 1 + 3*b + 1)*(-5 + 0 + 4)*(11*b**2 + 0*b**2 + 8*b**2) to the form n*b**3 + y*b + p*b**2 + m and give n.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42\/8 - (25\/4 - 6). Let q(p) = p**2 + 3*p + 4. Let b be q(-4). Find the second derivative of -b*t + f*t - 6*t**3 + 0*t wrt t.\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158081 + -1415671\/9. Let d = a + -781. Are d and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of w**2\/2 + 2*w - 8. What is h(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 227*x - 24271. Calculate u(107).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8271984 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-370)\/(-1554))\/((-5)\/(-2)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 556112 (base 8) to base 10\nAnswer: 187466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 428882 is divided by 1198?\nAnswer: 1196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*(-1)\/(-2)*(-11)\/(2717\/(-38)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**3 + 7*b**2 - 3*b - 19. Let o be v(-7). Let w be (o - 1)*1 + -135. Let n = 198 + w. Is n a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 463 + -5087\/11. Let o = 6 + -5. Let g = o + 0. What is the biggest value in g, m, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72763 is divided by 35568?\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 3*m + 0*m = 18, 0 = -4*j - 2*m + 10 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 6, 0 = 4*y + 7*u - 4*u - 82. What is the remainder when 455 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*n, 0 = p - 6*p + 4*n + 13562. Does 169 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 0) + (5 - 2) + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-155)\/(-35))\/((-24)\/(-28)) and 101\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 22 = 2*h + 6*p, 0 = 5*h - 5*p + 85. Is (-10)\/25 - 726\/h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74302 is divided by 833.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -2262*r + 234. Let i(d) = 78*d - 8. Let w(t) = 117*i(t) + 4*y(t). Let f(a) = 4*a**2 - 5*a**2 + 3*a**2. Give w(f(h)).\nAnswer: 156*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*i**3 - i**3 - 7*i**3 - 12*i**3.\nAnswer: -15*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*l - 79*l - 1608 = 0 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3, 648, 2557, 6366, 12711, 22228, 35553?\n\"Answer: 106*a**3 - 4*a**2 - 85*a - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.01248 - 0.01248. Put -1, -8, q in descending order.\nAnswer: q, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 4*b = 82, 0*m + 3*m = b - 107. Let z be 2\/(-5) - m\/85. Solve 3*k = 3*w - 9, z*k - 3*k + 11 = w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103309*g**2 - 309952*g**2 + 103318*g**2 + 103326*g**2 + 30*g - 30*g.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 70*h**3*l + 433043562*h**3 - 20*h**2*l + 2*h*l - 61*l wrt l?\nAnswer: 70*h**3 - 20*h**2 + 2*h - 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 104 + 833?\nAnswer: 1037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91 + 13 + 51 - (0 + -91).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a - 15?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -28. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -682 - -682.1. Which is smaller: n or -1527?\nAnswer: -1527","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (-2 + 0 - 2). Suppose 0 = 5*b - 0*b - 5*s - 20, 3*s + 21 = r*b. What is the nearest to 0.1 in 1\/11, b, 0?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 8481 = i, 14*l + i = 13*l + 4236. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnnc when four letters picked without replacement from ccnnnn?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -49b - 0?\nAnswer: -49b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3358\/(-219)*41\/(1394\/153).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 27*(182\/105)\/(-26)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -24. Let p be (4 - 1)\/(6\/(-8)) + a. What is the highest common factor of p and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -33081, -66458, -99837, -133218, -166601, -199986, -233373?\n\"Answer: -v**2 - 33374*v + 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 44*z + 122. Let f be b(-24). Let q = 1268 + f. Calculate the remainder when q is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (40 + 19) - (1 + 6)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2119, 0, 2, -17 in decreasing order.\nAnswer: 2119, 2, 0, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-14) + 5454\/10962?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 12 = 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31\/5 + 181\/30. Let h = 14.7 - 15. Which is the nearest to -1? (a) -3\/5 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cnyn when four letters picked without replacement from {y: 2, c: 2, n: 8, e: 1}?\nAnswer: 28\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 2*l + 3*y = 258, -1941*l - y = -1940*l + 68 for l.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from neevvennenvne. What is prob of sequence eeve?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -420, -385, -288, -99, 212, 675, 1320, 2177?\nAnswer: 3276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -25 - 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 295422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(7) - (sqrt(7) - sqrt(35)\/(sqrt(80) - sqrt(5)))))**2.\nAnswer: 28\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-467)\/(-31) - (-1464)\/(-22692)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10782701?\nAnswer: 10782701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-13830)\/(-45))\/((-4)\/(-6)). Let s = 904 - p. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*c**2 + 30000*c = 0. What is c?\nAnswer: 0, 6000","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1126216613 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**3\/3 - v**2\/2 + 5. Let t(g) = -g**3 - g**2 + g - 1. What is -f(h) - t(h)?\nAnswer: h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 54.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d + 5. Let i(c) = -c + 2. Let k(b) = 10*i(b) - 4*m(b). Let q = 143 - 141. Let z(s) = 307*s - 307*s + 5*s**q. What is z(k(t))?\nAnswer: 180*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + (-6)\/2 + 12. Suppose z*w = 2*w - 20. Let h(j) = j**3 + 3*j**2 - 3*j - 5. Calculate h(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19ac (base 15) to base 8.\nAnswer: 12672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 179658478?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, -10, 2\/7, 859\/15?\nAnswer: 859\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4387*o**4 + o - 303.\nAnswer: -52644*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 x, and 1 o when three letters picked without replacement from {v: 1, r: 1, x: 1, o: 2, c: 1, a: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7.85 + 5.85. Which is the biggest value? (a) -1 (b) 31 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 31*s + 125. Let o(p) = 11*p + 42. Let q(m) = -17*o(m) + 6*z(m). Let k be q(33). Let b(r) = -2*r - 6. Give b(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 21*i + 68 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/25272 and 23\/4212.\nAnswer: 25272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - x**3 + x + (0 + 7 - 1)*(-3*x**3 - 2 + x**3 - 1) to j + l*x**2 + h*x + g*x**3 and give j.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 3:16 AM?\nAnswer: 3:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - 10822\/(-721)) + 230 + -242.\nAnswer: 1\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + -1 + -4)*(-2)\/3. Suppose -31 + 9 = -3*d + m*r, -2*d - 5*r = 16. Solve d*i + 2*f - 9 - 5 = 0, -5*i + 2*f + 7 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 + j**2 + 90. Does 30 divide q(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.78976694381 less than -4?\nAnswer: -17.78976694381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i + 1. Let k be 0*((-6)\/(-4) - 1). Let b = k + -3. Let q(f) = 3*f**3 - 6*f - 3. Let l(v) = b*u(v) - q(v). Find the second derivative of l(d) wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = p + 3*q, 3*p + 2*q + 1 = 5. What is the third derivative of 7*i**2 - p*i**2 + 6*i**4 + 18*i**2 + 6*i**2 wrt i?\nAnswer: 144*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2119*d - 1044*d + 15*d.\nAnswer: -3148*d - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 164506, 5.\nAnswer: -3, 5, 164506","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {n: 6, d: 3, y: 4, u: 6}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 6*u + 5*u + 4200, -j - 4*u + 1065 = 0. What are the prime factors of j?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*x + x**2 - x**2 + 4*x**2 - 6*x**2.\nAnswer: -2*x**2 + 23*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -r**3\/2 + 5*r**2 + 14*r. Let c be t(2). Let h(l) = -c + l**2 - 4*l**2 + 7*l - l - 5*l. Determine h(3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 4*f + 8 - 34, 12 = -4*x + 5*f. Suppose 7*r - 1022 = 5*r + x*a, a + 1537 = 3*r. What are the prime factors of r?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.176 and 256 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 4*v**3 + 5*v**3.\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -9*v - 62. Calculate l(-9).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1277993028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*o + 10 = -2*m + 155*o, -3*o - 5 = -4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5293704 to 4 decimal places.\nAnswer: -0.5294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4296 - 4*r + 1140 + 4*r - 2*r**2.\nAnswer: -2*r**2 - 3156","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.00067 litres to millilitres.\nAnswer: 85000.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/58 in -0.5, -1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 369 divide 3866647828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 765665?\nAnswer: 5, 153133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 45 + (-65 - -7)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*i - 12937*a + 652*i - 4 wrt a?\nAnswer: i - 12937","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2586443 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2436891.\nAnswer: 3, 812297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 37*n**2 - 9448*n + 28324. Calculate d(3).\nAnswer: 313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -92, -95, -98, -101?\n\"Answer: -3*f - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 6209?\nAnswer: 31045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3931*y = -3935*y - f - 13, 0 = -y - 2*f - 5 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2. Let l(r) = -3*r - 27. Let y be l(-13). Let c(o) = -y + 119*o - 113*o + 12. Give c(h(g)).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of -f**8\/10080 - f**7\/1890 - f**6\/1080 - f**4\/3 + 2*f. Let z(d) be the third derivative of t(d). Factor z(h).\nAnswer: -2*h*(h + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 5.421105us?\nAnswer: 5421.105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -135*a**2 + 24*a. Let i(v) = 6*v. Give i(h(c)).\nAnswer: -810*c**2 + 144*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4679, 9358, 14037?\nAnswer: 18716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*m - 40 = -31*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventeen halves of a gram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -63 - -68. Put b, -2\/9, 0.4 in descending order.\nAnswer: b, 0.4, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -213613 at most -213606?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.71 - -13.91. Let l = -21 - -9. Let u = n + l. Which is the nearest to u? (a) -5 (b) 3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*i**2 - 204*i**2 - 22*i + 72*i.\nAnswer: 2*i**2 + 50*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 9*x - 5. Let m(k) = 26*k - 15. Calculate -3*m(b) + 8*q(b).\nAnswer: -6*b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*m + 10*m - 55 + 11 + 23 + 21.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -6, 5, -2, 4 in ascending order.\nAnswer: -17, -6, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33)\/(-22) + 13\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10 and 15970.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 59197 - 4\nAnswer: 59193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**0*r**(-1\/8)\/r)**(-1\/36))**(-6\/7) assuming r is positive.\nAnswer: r**(-3\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 3*u**2 - 6*u - 8. Let v be s(-4). Suppose 8\/9*t**3 - 10\/9*t**2 + 2\/3*t**4 - 4\/9*t + v = 0. What is t?\nAnswer: -2, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 + 34. Sort 2, 3, n in descending order.\nAnswer: n, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l - 16. Let k = 82 + -66. Suppose 2*u + 4 = -u + 5*b, 3*u - b - k = 0. Let w be z(u). What is the highest common factor of 65 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10 + -30?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 4*x + 6. Let g be i(6). Suppose a = 7*a - g. Calculate the remainder when 54 is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3678041 and 1537.\nAnswer: 1537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {s: 3, d: 5, n: 8, w: 1, k: 2}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 149685954989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.3, -11\/1505, 5, -0.3 in increasing order.\nAnswer: -1, -0.3, -11\/1505, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 790764931 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*f - 102*f - 2 + 70*f - 1 - 49*f**3 to n*f**2 + g + t*f**3 + x*f and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)\/(l*l*l\/(l*l\/(l\/l**(4\/9))*l*l)*l))\/(l\/(l**3*l)*l)**8 assuming l is positive.\nAnswer: l**(94\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 3*p - 4 = 0, -48 = -x - 3*p - 52 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2561?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*a**4 + 5*a**4 + 78*a - 77*a wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 121186280.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 15 = 5*a, 0 = -5*h - 271*a + 276*a for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24518325?\nAnswer: 3, 5, 13, 25147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -136252.\nAnswer: 136252.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4642?\nAnswer: 2, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-3 - 0) + 2 + 8 + 2?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2556 is divided by 828?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 3. Let i(r) = 52*r**2 - 4*r - 2. Let d(o) = 19*o**2 - 2*o - 1. Let z(y) = 11*d(y) - 4*i(y). Calculate z(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 11. Let f be a(-8). Solve 4*o + 16 = f*l - 4, 5*o = -25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3317939224 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 864*d + 9210 = 1171*d for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*4534\nAnswer: 453.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -2)*-2 + 56. Let r = 2 + -2. Suppose r*z = 3*z - k. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11 + 2\/11*r**2 - 4\/11*r.\nAnswer: 2*(r - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 669140.5 nanoseconds?\nAnswer: 0.0006691405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x + 2. Let u be p(12). Suppose -d + 10 = -3. What is the highest common factor of d and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 15*l**2 - 15*l + 2. Let s be (198\/77)\/(((-9)\/(-14))\/3). Let a be m(s). Let v = a + -160. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -5*(-3 + 2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -3.7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -25*l**2. Let w(z) = -5*z**2 - 20. Give t(w(q)).\nAnswer: -625*q**4 - 5000*q**2 - 10000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 474, 940, 1394, 1830, 2242, 2624, 2970?\n\"Answer: -k**3 + 473*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 203.1 - 153.1. Which is the second smallest value? (a) r (b) 0 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-22)\/(-4)*14 - -5. Calculate the greatest common divisor of 820 and h.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 1\/6, 18\/7, 1, -0.05, -0.2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -1) + (5 - 5) + 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4\/10 - (-1428)\/105. Let n = 3.7 + -4. Is t equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 15*m**2 + 16*m - 3. Let y be x(-16). Let j be ((-308)\/(-12))\/(-7)*y. Let i(c) = -13*c - 4. Let s(p) = 7*p + 2. Give j*s(b) + 6*i(b).\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 46\/6*((1 - 6) + 11). Let p = -34 + i. What is the remainder when p is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23000202 - -2?\nAnswer: 23000204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -9*k - 121*k**3 + 30*k + 1 - 12*k**3 - 19*k + 2*k**2. List the prime factors of i(-1).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5*11*16\/(-20). Let k = -19 - m. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = -4*x - 8. Let u(p) = 2*p**2 + 3*p. Let y be u(x). Suppose y*a = -0*a + 46. Solve -5*l + 29 = 5*k - k, -3*k = 4*l - a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, s: 1, e: 1, w: 1, y: 2, g: 2}. What is prob of sequence jj?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 95438711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**2 + 9*f + 4. Let q be (2 - 58\/(-6)) + 8\/(-12). Let x be v(q). What are the prime factors of 4\/(-18) + (-1174)\/x?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/80*(-10)\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/11 (b) -3\/5 (c) -0.5044\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-12)*(-6)\/(-20)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 7:50 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 732 a factor of 1869704412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*p = -8193, 3*p = n + 7*p - 2734. Does 10 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k. Let s(v) = v**3 + 12*v**2 + 13*v + 27. Let h be s(-11). Let o(w) = -4*w**2 + h*w**2 + 0*w**2 + 2*w**2. Calculate o(m(d)).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2801 is divided by 27?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11e334 (base 15) in base 13?\nAnswer: 2406a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 5*z - 40, -i - 3*z - 4 - 3 = 0. Suppose 0 = -i*j + 2*d + 19, 3*j + 3*d = j. Solve -b - j - 2 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22477 >= -22488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 5*t. Let w be p(6). Factor 2108 + w*x**4 - 3*x**3 - 3*x**4 - 2108.\nAnswer: 3*x**3*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -123, -12, -1 in increasing order.\nAnswer: -123, -12, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + f = 43, -i = 2*i - 2*f - 35. Let d = i - 9. Let s = -2 - -4. Solve -d*l - s*b = 0, -2*l + b = -2*b - 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*r, 2*r = -j + 6 - 2. Solve -5*a + 3*q + j = 11, 2*a + q + 11 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -10 - (142\/(-12) - 695\/(-834)). Calculate the greatest common factor of 150 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gngnnhnnnggggngnhh. What is prob of sequence nnnn?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 682 is divided by 177?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003436 rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(1\/9)\/c))**9*((((c\/((c\/((c\/(c*c**16*c))\/c))\/c))\/c)\/c)\/c)\/(c**(7\/2)\/c*c) assuming c is positive.\nAnswer: c**(-13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(4\/11))**(1\/6)*u**(-31)\/u**(-2\/13) assuming u is positive.\nAnswer: u**(-13207\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 997?\nAnswer: 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 357910?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.140961 rounded to one decimal place?\nAnswer: -26.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 89431, 178361, 267289, 356215, 445139, 534061?\n\"Answer: -d**2 + 88933*d + 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1075 less than 5?\nAnswer: 1080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.146571035 or -3?\nAnswer: -0.146571035","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + (51 - 1) - 34.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278\/(-20) - (-160 + 160) - (-37)\/(-370).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 22 - 475 = 0. Let h = -35 - n. Let v = 70 - h. What is the remainder when 168 is divided by v?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -386, -393, -410, -443, -498, -581?\n\"Answer: -g**3 + g**2 - 3*g - 383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 510301218 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 1, -10, -27, -50, -79?\n\"Answer: -3*u**2 + 4*u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 364551436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001667813 to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-64860)\/(-19458)*2\/140.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2375104 and -82519.\nAnswer: 2292585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 15 = 0, -s = 5*u - 134713396 - 78065647. Let n = u - 15355808. Suppose 0*w - n = -2*w. Round w to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 4*k - 22 = -0*k, -20 = -5*k. Let s = 17497\/19 + -921. Let o be (0 - -4)*(-2)\/(-52). Which is the closest to w? (a) o (b) s (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 4*g + 7. Suppose 5*l + 24 = 4*k + l, 4*l - 4 = 0. List the prime factors of z(k).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000000834 to 7 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p**2\/3 - 47353280*p + 840874922534400 = 0 for p.\nAnswer: 35514960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 0, 3*r + 6 = n - 4. Solve -1 = -9*g + n*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -158\/7 - -22. Which is the fourth smallest value? (a) 3\/5 (b) -0.07 (c) 0.1 (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-96)\/15 + 6 + (-4)\/10.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -7*d + 62. Suppose s - 11 = -2*p + 4*s, 5*s + d = p. What are the prime factors of 768\/p + 0 + (1 - 0)?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 v, 1 k, and 1 w when four letters picked without replacement from hwvhshswsqshhwkss?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 34. Let o = 48 - y. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 minutes after 11:48 PM?\nAnswer: 2:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 398\/208929?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -426.126 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3191 + -938. Suppose -h - 963 = -16*i. What are the prime factors of i?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 12 - 6 = 0. Is (0 + y)*(-7 - 814) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - -3)*(-2)\/(-2). Suppose -5*m = u - 30, -u + 5*u - 35 = -o*m. Let h be 0 + (-1)\/(-2)*6. Sort u, h, -1.\nAnswer: -1, h, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322685053 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3055)\/585)\/(2\/(-2)) and -37\/45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, -8\/37, -3\/5, -9506?\nAnswer: -9506","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 2*j**4 + 5629*j**3\/2 - 393897*j**2\/2 - 249877*j - 50116 = 0.\nAnswer: -1474, -1, -1\/4, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -7615, -7598, -7591, -7600, -7631, -7690, -7783?\n\"Answer: -c**3 + c**2 + 21*c - 7636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -57, -53, -49, -45, -41?\n\"Answer: 4*r - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.6, -3224, 1, 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xr when two letters picked without replacement from ydeayraaayyyayxe?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (-10 + 19 - 59).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 - 5*y**2 + 0*y**2 + (-y + 0 + 0)*(-1 + 1 + 3)*(5*y + 2*y + 0*y).\nAnswer: -25*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -5.7?\nAnswer: 0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -5, 3, 0, -0.09, -14, -2\/11, -13?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 905 and 13937.\nAnswer: 69685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4.3 from 28166.59.\nAnswer: 28170.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 76*o*t**2 - 21*o*t + t**2 wrt t?\nAnswer: 152*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -460.02 + 464. Let p = -4 + a. Let j = 0.0199952 + p. Round j to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * 5644834.\nAnswer: 5080350.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5228219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 - (-1 - 1) - -8. Let x be (9 - c) + 6\/(-4). Sort 3, -2\/11, x in descending order.\nAnswer: 3, x, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 273427 (base 9) to base 10\nAnswer: 166561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 41*m**2 - 11*m**2 + 2*m - 13*m**2 - 13*m**2. Let z(s) = -s**3 + s**2 + s. What is -o(q) + 2*z(q)?\nAnswer: -3*q**3 - 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -79 - -10783b?\nAnswer: 107792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 13*c**2 - 12*c + 4. Let h be t(-12). Solve 0 + 6 = -4*u + 5*p, -u = h*p + 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*k**3*n**3 + 47*k**3 + 2*k*n**3 + 280*k*n**2 + 24*n**3 wrt k.\nAnswer: -228*k*n**3 + 282*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 + 16. Put q, 3, -0.4, 11 in ascending order.\nAnswer: -0.4, q, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50035897 a multiple of 419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.114715 rounded to 2 decimal places?\nAnswer: -5.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 - 7 + 2*i - i**3 - i**2 + 2. Let b be (4 - 3)\/((-2)\/(-24)*-3). Is n(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*m + 304 = m, 92 = s + 5*m. Does 27 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 - -172 - (-31 - -38)?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c + 18. Let i be x(-13). Let s = i - 36. Sort -2, 5, -4, s in increasing order.\nAnswer: s, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 78.52054mm?\nAnswer: 0.07852054","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 41\/2 of a gram?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2774363924 to the nearest integer?\nAnswer: 1405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 93753*j**3 - 6288 with respect to j.\nAnswer: 281259*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18228 and 63168?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -5*g**2 + 4*g**2 + 8*g**2. Calculate k(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -8*l**3 + 58*l**2 + 61*l + 1577. Is h(-24) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48465137 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 322987 and 2121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 6*v + 12, 3*v = u - 23. Let n(p) = p**3 - 2*p**2 + 5*p + 3. Let o be n(4). Calculate the greatest common factor of u and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 4310*b - 30508. Calculate z(7).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 + 32*t**2 + 1196*t + 11658. Give i(-12).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 101 (base 3) to base 2\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4394867 is divided by 4271.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s**0))\/(s*(((s\/(s**(-3\/8)*s))\/s)\/s)\/s)*(s*s**3*s)\/(s\/(s\/s**(1\/6))) assuming s is positive.\nAnswer: s**(179\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 301*w. Let q(l) = 65*l**2 - 4. What is v(q(c))?\nAnswer: 4225*c**4 - 20085*c**2 + 1220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i**2. Let b be d(1). Let n(z) = -z**2 + 28*z - 6. Let p be n(b). Suppose -4*a + 2*v + p = -3*a, -717 = -5*a - 2*v. Is a a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times 56596?\nAnswer: 16978.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1\/2 (b) 1\/30 (c) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -439 - b88d?\nAnswer: -bcc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -139916228.9 to the nearest one hundred thousand.\nAnswer: -139900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -2\/9, 9, -3?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 + 72. Suppose g = 5*o + 10, c + 4*o - 67 = -2*c. What is the highest common factor of 10 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 77565 or 465397\/6?\nAnswer: 465397\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 0*a**4 - a - 3*a**2 + 48 + 161\/20*a**5 + 0*a**3. Find the first derivative of s(j) wrt j.\nAnswer: 483*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 933 - 414. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2900 and 41\/14210?\nAnswer: 142100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1094*r - 1 = 1097*r + 2, 9*r = 4*n - 5 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 35 = -d, -44 - 11 = -2*g - 3*d. Suppose 0 = 8*k - 4*k - g. Let p(b) = -b**2 + 6*b + 2. What is p(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 18\/30 - 57\/(-5). Solve -3*a + 7 = -4*b + 25, x = 3*b - a for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9538 to the nearest one hundred.\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*k + 4*q - 5, -q - 42 = 3*k. Let b = 1526 + k. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1121 (base 5) to base 8\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2 - 36\/11 - 138\/11*j.\nAnswer: -2*(j + 6)*(11*j + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 4*s - 14, n - 3*s - 17 = -0*s. Let c(p) = -p + 4. Let k be c(n). Solve 2 = -k*d, -26 + 11 = 4*g - 5*d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2. Let w(j) = j + 4. Let q be w(0). Let i(g) = g + 3. Let l(a) = q*s(a) - 2*i(a). Let z(x) = -x + 1. What is -l(c) + 3*z(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.5 (c) -0.2 (d) -27831 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 6*n + 8. Suppose 16 = -9*y + 88. Let h(v) = -4 - 2*v + 2 - 1. Let r(t) = y*h(t) + 3*g(t). Let p(k) = 2*k. Calculate r(p(a)).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Suppose t*q = q - 2*o + 2, 0 = -q - o + 7. Calculate the greatest common factor of q and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/4)\/(690\/(-4140)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/128)\/(2499\/6664).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, q: 10, h: 4}. Give prob of picking 1 q and 1 j.\nAnswer: 50\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-25\/4)\/j)\/j**(-2\/147)*j*j*j**44*j**(-12)\/j assuming j is positive.\nAnswer: j**(15737\/588)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -1630?\nAnswer: 815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:05 AM and 9:46 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11976 - -11981. Solve 2*j = b*j - 4*q + 31, 0 = 4*j - 3*q + 32 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 10*j**2 - 2*j - 18. Give s(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1205048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 810.7241 grams?\nAnswer: 0.0008107241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-105))\/((-2)\/5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10481875.\nAnswer: 5, 31, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + l + 1. Let n(f) = 3*f**2 + 7*f + 8. Let b(a) = -6*m(a) + n(a). Let i(s) = 3*s**2 - 2*s - 3. Suppose -2*z + 3 = -3. Calculate z*b(c) + 2*i(c).\nAnswer: -3*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -39, -126, -277, -498, -795, -1174?\n\"Answer: -v**3 - 26*v**2 - 2*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539)*2)**2 + -1.\nAnswer: 2155","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28050 and 100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/65 or 67285?\nAnswer: 67285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*x, 3*x + 5*d + 7 = -0*d. Which is the nearest to -3? (a) -68 (b) 2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 2 - 7. Solve -4*b = -13 + p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/3))**(13\/5)*q*(q*q*q\/q**(-2\/37))\/q*q\/(q*q**(-2\/27)\/q) assuming q is positive.\nAnswer: q**(24949\/4995)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2068, -1974, -1880, -1786, -1692, -1598?\nAnswer: -1504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56081, 56080, 56079, 56078, 56077?\nAnswer: 56076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 0 = 3*a + 3, 4*p = -2*a. What is the units digit of (-1)\/(-2) + (-57)\/a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16655388?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1 + 200\/(-35) + 4\/(-14). Let g(v) = -275*v - 6. Is g(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -350 > -1507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u - 8. Let v be t(9). Let l be -1 - (-1 + -1 - (-11 - -12)). Solve r + l*k = 1, -3*r + 4*k - v - 7 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52342 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i - 15. Let k be t(-5). Let g be 2\/(-5) - -269998*(-1)\/k. Round g to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggggr. Give prob of picking 3 g.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 - 15*t + 4. Let l(u) = -u**2 + 5*u - 1. Let x(q) = -3*j(q) - 8*l(q). Suppose 8*s = s + 28. Let c be x(s). Solve c*h - 2*h = 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54322 = -648*y + 11342 + 5396 - 1076 for y.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2475 + 4604. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -199*c - 5 + 201*c - 3*c**2 - 1 in the form y*c + m*c**2 + o and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b**3*f**3*z + 2*b**3*z - b**2*f**2*z + 3*b*f**2*z - 217*f**3*z + 27*f**2 wrt f.\nAnswer: -12*b**3*z - 1302*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -17*f + 7, -31*p + 27*p + 48 = 12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21633*n + 1705572 - 191262 = 0 for n.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012611325 rounded to three dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-29)\/65 - (-21)\/35) + (-2959598)\/(-221).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*r**2 + 2*r**2 + 5*r**2 + (-2*r + r + 2*r)*(4 + 7 - 5)*(-2*r - 3*r + 2*r) to the form d*r**2 + g + a*r and give d.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 3*u + 39, 3*u = -3*z + 37 + 8. Factor 5*p**2 - 2*p**3 - 12*p + z + 6*p**3 - 3*p**4 + 8*p**3 - 14*p**2.\nAnswer: -3*(p - 2)**2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 882466?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n**3 + 43*n**2 + 2*n + 9. Let h(c) = -c**3 - c**2 - 1. Give -18*h(d) - 2*k(d).\nAnswer: 2*d**3 - 68*d**2 - 4*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9584223 a multiple of 951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - s = 3*w + 8, 0 = -4*s - 2*w - 4. Let h be 3 + 0 + s\/(-1). Suppose -u + 3*i = 3*u + 211997, -2 = h*i. Round u to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of -5*d**4\/2 - 2*d**3\/3 - d**2 + 4*d + 5. Is a(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.01 + 0.03. Let h = 0.14 - q. Let g = h - 0.175. What is g rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, 0.1, -1, 5\/2089 in descending order.\nAnswer: 33, 0.1, 5\/2089, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5.4 and -42.\nAnswer: -47.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, m: 8, b: 5}. Give prob of sequence abbb.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 109, 119, 153, 223, 341, 519?\n\"Answer: 2*a**3 - 4*a + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3249.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4061?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/862951?\nAnswer: 2\/862951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40583.\nAnswer: 40583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -35 (base 11) to base 7\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 43\/4 of a decade?\nAnswer: 1290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, s: 1, n: 2}. What is prob of sequence snnn?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72*i**2 - 303*i**2 + 76*i**2 + 75*i**2 + 78*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2433 = -222. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83138 = 1278*w - 38362 + 32040 for w.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 31*n**3 - 6*n**2 - 16. Let x(m) = 31*m**3 - 5*m**2 - 17. Let y(p) = -5*o(p) + 6*x(p). What is the derivative of y(i) wrt i?\nAnswer: 93*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.4 (b) 6\/19 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, m: 4, r: 2}. Give prob of picking 1 m, 2 q, and 1 r.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*o**2 + 22*o**2 - 17*o**2 to the form b + y*o**2 + x*o and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 590 divided by 1?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -13*r**6\/6 - 13*r**3\/3 + 47*r**2\/2 - r + 194. What is the second derivative of o(j) wrt j?\nAnswer: -260*j**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 4*o**2 + 4*o + 2. Suppose j = -5*v + 24, -5*v + 23 = -0*j + 2*j. Let g be 0 + (12\/(-3) - j). Determine m(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 3. Suppose 0 = -8*r - r + 2*r. Let m(t) be the second derivative of -4*t**2 + r + 3*t - 1\/4*t**4 + 0*t**3. Give 8*i(s) - 3*m(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1.9316 - 11705\nAnswer: -11706.9316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of -i**5\/60 + i**4\/3 - 2*i**3 - 5*i**2 + 15. Determine b(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of ((-873)\/(-27) + 3)\/((-1)\/(-2205))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 5*l**3 + 5*l**2 + 4*l + 4. Calculate v(-3).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 2 (c) 3 (d) 1 (e) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 4*g - 2046. Let w be (-3)\/(-4) + g\/8. Suppose -w = 2*j - 4*j. Is 15 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11187940 to the nearest integer?\nAnswer: 3345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 48259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6549 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - -10 - 56 - (0 - (7 + 7))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 4*b**2 - 4*b + 4. Let i be h(3). Suppose -a - 4*o - i = -2*a, 2 = o. Is a a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2962000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mgrrmrmr. What is prob of sequence mr?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44124923?\nAnswer: 43, 73, 14057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5 + 0.9. What is the third biggest value in c, -1, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1231?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3*i + 12*i + 11*i + 4*i.\nAnswer: 24*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 - b**3 + 25*b**2 - 28*b**2 - 2*b**4 as u*b**2 + y*b**4 + m*b + x + j*b**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i**2 + 327*i - 327*i)*(-2 + 2 + 1).\nAnswer: 11*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z = 5*z + 15. Let s(h) be the third derivative of -1\/3*h**z - 1\/24*h**4 - 2*h**2 + 0 + 0*h. Differentiate s(r) wrt r.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 5*l - 88, l - 3*l = t - 37. Let u = 4 - -1. Suppose -2*k - 892 = -u*d, k + 0*k = -5*d + 904. Calculate the greatest common divisor of l and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -43, -37, -21, 11, 65, 147?\n\"Answer: x**3 - x**2 + 2*x - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(4\/18) - (-6 - -6 - 6). Sort -4, -14, 2, -2, v.\nAnswer: -14, -4, -2, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 + 14 = -6*x. Let i be (16\/6)\/((-70)\/(-75))*x. Solve 0 = -3*w, 5*o - 4*w + w + i = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -423 - -423.2. Let i = 0.08 - 6.08. Let x = 9 - i. What is the smallest value in 1, x, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11991282 is divided by 39706?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 - 2) + (-9)\/(-5 + 2). Suppose -z - 110 = -2*d - 21, l*z - 109 = -2*d. List the prime factors of d.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 327 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 k when two letters picked without replacement from {f: 2, w: 2, k: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**4 + 11*h**3*u**3 + 19978*h**3 - 9956*h**2*u**3 + 2*h**2*u**2 + 6*h*u**3 - 5*u**3 - 32 wrt h.\nAnswer: -72*h + 66*u**3 + 119868","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 6*z**2 - 6*z + 7. Let s be x(-5). Let g(r) = s - 12*r**2 - 1 + r**3 + 3. Does 4 divide g(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 6, 0.2, -4, 0.5, -178, 0.3?\nAnswer: -178","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 5332, 10678, 16024, 21370, 26716, 32062?\n\"Answer: 5346*q - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1479 - 1476. Let z be (-2)\/5 - (-27)\/5. Suppose 0 = 2*s - z*q - 3252, 3*s + i*q - 4401 = 456. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**17)**(-40) assuming n is positive.\nAnswer: n**(-680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1559749 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - -2. Suppose 4*i + 24 = 4*s - 44, -3*s - t*i + 75 = 0. List the prime factors of s.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (96*s - 49*s - 18 - 49*s)*(0 + 1 - 3) to the form y + j*s and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-4)\/(24\/3)*(-1)\/5.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 957*a - 26898. Determine i(35).\nAnswer: 6597","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 163438.\nAnswer: -2\/81719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lw when two letters picked without replacement from {w: 2, l: 16}?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18548 divided by -4.\nAnswer: 4637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/2*1)\/((-84)\/84)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 252 + -241. Suppose 6*f = 5*i + y*f - 3165, f = 0. List the prime factors of i.\nAnswer: 3, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/24 + (-1262534)\/(-168) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 + 2)\/(1\/2). Suppose 0 = 3*c - 2*z - 0*z + p, 0 = 3*z - 3. Solve c = o + 2*o + 3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + 163. Suppose 3*l - r - 70 = 0. Let n be 33\/l + 1\/(-4). Which is the nearest to -0.2? (a) 0.4 (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 719183712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the third derivative of -b**5\/12 - 17*b**4\/24 + 12*b**2 + 5. Let k(o) = -o**2. Calculate a(k(p)).\nAnswer: -5*p**4 + 17*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3 - ((-86880)\/(-45))\/(-2) a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 37 + 18. Put i, -8, -3, 4 in decreasing order.\nAnswer: i, 4, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 (base 10) in base 11?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 5*k = -15. Suppose 4*m - k = 101. List the prime factors of m.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 l when two letters picked without replacement from fzzonoonoffoolf.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -m + 5, 5*m + 20 = 2*v - 6*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*k = 212, 3*t + 5*k - 143 = -0*k. Let g = t - 9. What is the smallest common multiple of 12 and g?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-4) - 4\/(-8). Is -1\/4 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8492599ml to litres.\nAnswer: 0.0008492599","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*h - 11*h = v + 5958, 4*v + 5952 = h. List the prime factors of h.\nAnswer: 2, 5, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 3*q**3 - 10. Let j(h) = -4*h**3 + 10. Give -4*j(f) - 5*n(f).\nAnswer: f**3 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*q - 7*q + 8*q)*(-7*q - 9*q + q)*(-2*q**3 + 4*q**3 - 2*q + 0*q).\nAnswer: 1200*q**5 - 1200*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*c**3 - 2*c**2 + c**2 + 6*c**3)*(-1 - 9 - 2) in the form t*c**3 + n + f*c + x*c**2 and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37408\/9 - 4149. Calculate the common denominator of -13 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1017)\/27*(2 - 5). Let p = f + -117. Let q(b) = b - 1. What is q(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-1\/50)\/(((((h*h\/(h\/h**(-29))*h)\/h)\/h)\/h)\/h) assuming h is positive.\nAnswer: h**(1549\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -14*f**2 - 5. Let i(g) = 5*g**2 + 2. Let d = -1 - 2. Calculate d*u(j) - 8*i(j).\nAnswer: 2*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kv when two letters picked without replacement from {p: 3, k: 3, z: 5, v: 2}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4889, -12549, -20211, -27875, -35541, -43209?\n\"Answer: -n**2 - 7657*n + 2769","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2789550217 to the power of 1\/2, to the nearest integer?\nAnswer: 52816","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*t = 14*t - 4*n + 13, 0 = -2*t + 5*n - 18 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52056 (base 8) to base 5.\nAnswer: 1142200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 4:55 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 2:44 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2. Let l(z) = -181*z. Calculate p(l(v)).\nAnswer: 65522*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 551.\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -36, -147, -332, -591, -924, -1331?\n\"Answer: -37*d**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 109859000 to the nearest 100000.\nAnswer: 109900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - -8. Let n = -0.03 - -0.53. What is the nearest to 0.2 in 0.3, b, n?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (486 - 766 - 1019)*(36*k + 4*k**2 - 36*k).\nAnswer: -5196*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -319?\nAnswer: -4\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (0 - (8 + 0)) - 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*k = -99*k + 70 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -76 (base 13) in base 12?\nAnswer: -81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 + -12. Let i(w) = w**3 - 9*w**2 + 2*w - 5. Let h(r) = -55*r**2 + 555*r - 27. What is the remainder when h(10) is divided by i(v)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -427 - -426.7. Which is the second biggest value? (a) 0 (b) 0.2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 106394 times -1617?\nAnswer: -172039098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 + 5*d**2 - 11*d + 3193*d**4 - 3204*d**4 as f*d**3 + b*d**2 + u + n*d**4 + i*d and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/114 - (-1 - 362)*16\/304. Solve 4*s - 7 = -3*d, 5*s + 17*d - v*d - 26 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.04 - 4.96. Let c be (5 + (7 - 12))\/(-3). Let z = 0.1 - 0.1. What is the nearest to c in -0.1, z, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**2\/9 - 2174*g\/9 + 2173\/9 = 0.\nAnswer: 1, 2173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -130*o**2 + 5 + 3*o**3 + 123*o**2 - 12636*o + 12635*o + 3*o**4 to the form u*o**2 + h + m*o + p*o**4 + w*o**3 and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93, -115, -133, -141, -133, -103, -45?\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 163, 160, 149, 124, 79, 8?\n\"Answer: -g**3 + 2*g**2 - 2*g + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31669818093188 minus -0.02?\nAnswer: 31669818093188.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/132 and 71\/240?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 5, -2 in decreasing order.\nAnswer: 5, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 306 and 510?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 6415*q - 603129. What is y(94)?\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-11) - 65688\/6072?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21384*o**3 - 22*o + 79*o - 31*o - 26*o.\nAnswer: -21384*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h**2 + 4. Let f(i) = i**2 + 1. Suppose -3*k + 30 = 3*k. Give k*f(v) - w(v).\nAnswer: -v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -292217.\nAnswer: 3\/292217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2408928?\nAnswer: 2, 3, 23, 1091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/25 of a second?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 554961 > 554970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -s, 5*g = -2*s + 40. Let x(t) = t + 7. What are the prime factors of x(g)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*z = 4*z - 8 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 80. Suppose j*g - 292 = -t - 3*g, 3*g = 3*t - 948. What is the common denominator of 14\/4*t\/(-637) and -99\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539791 to the power of 1\/3, to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 z, and 1 w when four letters picked without replacement from wzwzzzwwgzgzzwwgz.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 798504798.\nAnswer: 1597009596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/12474 and -43\/12474.\nAnswer: 12474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 255 + -254. What is the closest to 15 in -0.1, f, -0.3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 11*q. Let a(k) be the second derivative of 0*k**2 + 12*k + 1\/6*k**4 + 0 + 0*k**3. What is a(n(l))?\nAnswer: 242*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 359 minutes before 2:32 AM?\nAnswer: 8:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*n**5 - n**3*p**2 - 2*n**2*p**3 - 28*n - 9*p**3 wrt n.\nAnswer: 160*n**3 - 6*n*p**2 - 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9204063?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-49)\/(1 - (-10)\/(-8)). What is the greatest common factor of 28 and p?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 326?\nAnswer: -325.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92675708572*a + 0 + 0 + 92675708533*a - 2*a**2.\nAnswer: -2*a**2 - 39*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 153, 174, -59, -660, -1743, -3422?\nAnswer: -5811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -48*z**2 - z + 2. Let v be f(1). Let m = -23 - v. Let r = 600 + -552. Calculate the greatest common factor of r and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10220210012 (base 4) in base 12?\nAnswer: 4a6b72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1782 = -11809*h + 11728*h for h.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 270 - 765 = 0. Suppose -3*h - 4*f + 35 = 0, -2*f + 0 = h - 13. Calculate the highest common divisor of r and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16 - 12. Calculate the smallest common multiple of 4 and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, j: 4, d: 2, m: 6, l: 1}. Give prob of picking 1 j and 1 d.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -t**3 + 133940*t**2 + 40638*t + 15?\nAnswer: -6*t + 267880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3565, 14898, 33785, 60226, 94221, 135770, 184873?\n\"Answer: 3777*w**2 + 2*w - 214","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133 and 2489?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 108019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1838 - 1854 = 8*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4298\/5 - -864. Sort s, 0.4, -3\/4, -5 in increasing order.\nAnswer: -5, -3\/4, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 276\/(-27) + (-2)\/(-9). List the prime factors of ((-48)\/h)\/(5\/25).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9229.\nAnswer: 11, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67073*c**6 - 12*c**2 + 7*c - 4.\nAnswer: -8048760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times 14.21?\nAnswer: -18.473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ppppppppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -48*r - 3. Let g be a(1). Let c be (-60)\/(-72) - (0 + 6\/4). Which is bigger: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 561242 (base 10) to base 3.\nAnswer: 1001111212202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -1\/976 (b) 79 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 1. Let a(i) = 2 + 4*i + j - 4. Let n be a(1). Solve 0*b = -n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*q + 8 = 39*q. Let r be ((-16)\/(-3))\/q*-3. Let c be (-55)\/2*44\/10*r. Calculate the highest common factor of c and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -24\/5, -130562?\nAnswer: -130562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -495 + 497. What is the smallest value in 0.2, 2\/5, 3\/29, -2\/11, i?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/5 + 8*b\/5 - 12\/5.\nAnswer: -(b - 6)*(b - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 168.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 211643511.49.\nAnswer: -211643509.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2. Let i(n) = -n**2 - 6*n + 9. Let t be i(-7). Suppose -t*a = -a - 7. Let b(r) = -11 + a + 3*r + 4. Determine w(b(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -32920, -32924, -32926, -32926?\n\"Answer: m**2 - 7*m - 32914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/2 - 557878*i - 155613931442.\nAnswer: -(i + 557878)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*r**2 - 19*r**2 + 17*r**2 + 862637*r - 862637*r.\nAnswer: -66*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 245 = -5*w - 2*g, -2*g + 174 = -5*w - 91. Let o be (-6)\/1*272\/w. Suppose -o*h + 142 = -30*h. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -105274.8 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12411 + -10511. Does 4 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -1\/21582460?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*z = -8*z + 73 + 87. Solve -2*r = -z*m + 11, 4 = -5*m + 39*r - 42*r for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1774 + -1767. Solve 0 = -2*i - r + 11, -3*r = 7*i - 9*i + b for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1199195 (base 12) to base 16\nAnswer: -3472c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4\/8271 + 4367108\/41355. Let c = -106 + w. What is the nearest to 3 in c, 0.1, -0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 110 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*k**2 + 122*k**4 - 15*k - 5*k**2 - 2*k**3 + 6*k**3 - 75*k**4 wrt k.\nAnswer: 1128*k + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -5, -4, 5, 1174 in decreasing order.\nAnswer: 1174, 5, 4, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 10*y**3 - 19*y**2 - 19*y - 7. Let s(m) = -3*m**3 + 6*m**2 + 6*m + 2. Let l(c) = 2*a(c) + 7*s(c). Give l(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.96 - -0.06. Let n = -0.900016 - l. Round n to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100022002 - 10?\nAnswer: -10100022012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 142\/45 + -62069\/90. Let t = j - -706. Find the common denominator of 103\/20 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 270572 is divided by 1002?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.13, 3\/4, -4877, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 14*y**3\/9 - 776*y**2\/9 + 9394*y\/9 + 5624\/9 = 0.\nAnswer: -4\/7, 19, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 322 + -148. What are the prime factors of (-1)\/(-7) + p\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 4*n**2 - 6*n - 5. Let y be v(-5). Suppose -2*r + 42 = -y*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(4\/((-2272)\/(-572)) + -1). Let k = c + 160. Solve -4*s - 2 - k = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.49 + 1.31. Let m = 14 - g. What is the biggest value in m, 0.3, -2\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/20 of a tonne in kilograms?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, -103, -4, -1\/4, -13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6 from -356.\nAnswer: -362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 5:22 PM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**3. Let q(d) be the first derivative of d**4 + 104*d**2 - 104*d**2 + 3. Suppose 3060 = 557*k + 55*k. Calculate k*q(i) - 6*a(i).\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 411306 or 411309?\nAnswer: 411306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*p + 52*p - 4*z = -2932, 0 = -3*p - 3*z + 2937. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -6. Which is the third smallest value? (a) -2\/3 (b) 0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1853*x + 80*x = 1161 + 92 + 680 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 117 + -113. Let g be (-160)\/(-168)*1\/k. Which is smaller: 0.02 or g?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -87214*q**2 - 301978.\nAnswer: -174428*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25*s*z**4 - 3*s*z**2 + 14*s + 4*z**3 + 6 wrt z?\nAnswer: 100*s*z**3 - 6*s*z + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -h**2*z + 4292696*h*z - 442785*z + 9 wrt h?\nAnswer: -2*h*z + 4292696*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of 1\/8*j**4 - 1\/20*j**6 + 0 + 1\/112*j**8 + 0*j**7 + 14*j**2 + 0*j + 0*j**5 + 0*j**3. Find i such that x(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20412 or -16430?\nAnswer: -20412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1293 or -782?\nAnswer: -782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110041 to the nearest integer?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*f**2 - 15*f**2 + 444051*f - 444048*f - 124*f**2.\nAnswer: -256*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(704) + 1 + sqrt(704) + -1 + (((-1 + sqrt(11))*1)**2 - 1*sqrt(11)*-6).\nAnswer: 12 + 20*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from bmbbbqqqpnbbq.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*(-2 - (-20)\/(-8)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 872001607 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -115\/234 and 13\/7596.\nAnswer: 98748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26820 + 12084. Is b a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**3 + 6*f**2 + 3*f**2 - f**4 - 10*f**2 - f**4 to l*f**2 + b + y*f**4 + d*f**3 + p*f and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 155 - -114\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**4\/3 - n**2 + 2*n. Let h(y) = -9*y**2 + 4. Give 2*h(t) + 5*p(t).\nAnswer: 2*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3931, 7953, 12081, 16315, 20655, 25101?\nAnswer: 29653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifth of a week?\nAnswer: 2016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 112 by 109.\nAnswer: 112\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 145390 a multiple of 217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30424 is divided by 2533.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.17 + -6465199084.\nAnswer: -6465199083.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559753768?\nAnswer: 2, 7, 59, 191, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 1:25 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 171 - 183 = 4*k, 0 = 5*y + k - 896. Let i = -146 + y. Is i a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - g. Let t(v) = 3*v**2 + 7*v + 6. Let x(q) = 4*o(q) + t(q). Let f be x(4). Put -4\/3, 0.4, -3, f in decreasing order.\nAnswer: f, 0.4, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3679601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (p + 0*p - 4*p)*(122 - 91 + 166)*(3 - 4 + 2) to the form q*p + i and give q.\nAnswer: -591","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j**2*j)\/j)\/j*j*j)\/j**(1\/2))\/((j\/(j\/(j**(-4)*j)))\/j**(2\/13)) assuming j is positive.\nAnswer: j**(147\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99156 = -7*a + 34510 - 26753. What is a rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1\/10 (c) 1 (d) -3 (e) 0.6 (f) 0.4 (g) -3202\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**4\/3 - 61*n**2. Let f(m) = m**2. Determine r(f(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 664626775 to the nearest integer?\nAnswer: 873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5129852 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 16891031743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-23)\/2)\/23*14. Let g(h) = -h**3 - 8*h**2 - 7*h - 12. Give g(m).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 901 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**3 - 77*x**2 - 63*x - 316. What is r(-15)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2129 * 0.5\nAnswer: -1064.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 31730, 126887, 285502, 507581, 793130, 1142155, 1554662, 2030657?\n\"Answer: k**3 + 31723*k**2 - 19*k + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.185 + -0.085. Let c = y + -3.1. Let z = -0.05 - 1.95. What is the nearest to c in -0.4, z, -0.5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12293 and 7324687.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*f - 559*f = 439 - 4335 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2644 - 10046 = -423*u for u.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2089?\nAnswer: 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 + 131\/7. Let r(y) = y**2 + y - 8. Let o be r(0). Let s be (-2)\/o - (-26)\/(-40). Which is the third smallest value? (a) j (b) 0.2 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t - 32. Let a(h) = 10*h**2. What is q(a(i))?\nAnswer: 20*i**2 - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -29652683\/12 at least -2471058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*r - 9 + 17 - 8 in the form m + v*r and give v.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2260.989 grams in micrograms?\nAnswer: 2260989000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**3 - 3*o**2 + 5*o - 7. Let j = 28 - 23. Is q(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - 14. Suppose -w*n + 3*n = -1140. What is the common denominator of 75\/16 and ((-3)\/n)\/(2\/90)?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -311 + 407. Find the first derivative of 50 + 84 - 73*z**2 + m - z**2 - 61 wrt z.\nAnswer: -148*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*f + 0*f = -141, -w - 3*f + 42 = 0. Suppose 2*v + w - 37 = 0. Which is smaller: v or 13\/7?\nAnswer: 13\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1563*m = -1562*m - 2*c + 26, -c = -5*m - 85. Sort 2, m, -2 in increasing order.\nAnswer: m, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxxhjxhxxxxxjxxjxh. Give prob of picking 2 j and 2 x.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19418 and 304.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.3 and 31963693?\nAnswer: 31963692.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 78610 = 35*m. Suppose 2*r - 8*c + 5*c = 2247, -2*r = -2*c - m. Is r a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: cab (base 15) to base 8\nAnswer: 5455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 5*o = -b + 565, 0 = -2*b - o + 227. Does 19 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12266*t - 8969*t - 97904 - 39697 = 180924 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 23. Let z = 14 - b. Solve -z*i + 15 = i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -18*a**2 + 12*a - 3. Let u(h) = 18*h**2 - 13*h + 4. Let q(c) = -3*i(c) - 2*u(c). Is 20 a factor of q(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/1805 and 19\/50.\nAnswer: 18050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 6*z**2 - 6*z - 5. Suppose 0 = -2*w - 10 - 0. Let f be a(w). Let o = -89 - -709\/8. Which is bigger: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 148, 278, 408, 538, 668, 798?\nAnswer: 928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/100 and 121\/10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47.094912 + -0.048912. Let s = d + -47. Round s to 2 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -2*w**2 - 4*w + 16. Let l be 0 - 2\/(-3) - (-23)\/69. Let m(u) = -1. Determine l*n(r) - 3*m(r).\nAnswer: -4*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 4*z**2 - 988*z + 50400 = 0?\nAnswer: 72, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*h = -14450015, 2*h = -7*k + 3*k + 11559990. What is k rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*r + 282*r + 58402 = 2257*r - 29994 for r.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 - 0.5. Let g = -4.1 - -4. What is the nearest to -2\/7 in g, y, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**2. Let f(t) = 4*t + 36 - 36. Calculate f(l(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxx when three letters picked without replacement from {x: 2, t: 3, n: 3, k: 1, c: 1, u: 1}.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61*c + 4386 - 4387 - 15*c - 39*c to o*c + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 54\/(-4) - (-2)\/(-4). Let w be (173 + -176)*8\/(-12). Calculate the lowest common multiple of 24 and (b - 2)*(0 - w).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -157 - -162. Suppose b*m - 108 - 72 = 0. Calculate the remainder when 97 is divided by m.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 290, 298, 288, 254, 190, 90, -52, -242?\nAnswer: -486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.2216?\nAnswer: 0.8864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 659595?\nAnswer: 3, 5, 43973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-588)\/(-42) - 5*(-2)\/(-2). Solve -j = 0, -4*l + 2*j = -l + y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000001 (base 2) in base 14?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -23301 minus 0.027?\nAnswer: -23301.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/4*(-9)\/18. Put 2\/5, j, 3 in descending order.\nAnswer: 3, 2\/5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -85, 1, 1\/4, 4, 9, 0.058 in decreasing order.\nAnswer: 9, 4, 1, 1\/4, 0.058, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - q**2 + q. Let l(b) = 20*b**3 - 5*b**2 + 4*b - 1. Give -4*a(f) + l(f).\nAnswer: 16*f**3 - f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the second derivative of -7*s**3\/6 + 13*s**2\/2 + 25*s - 2. Give c(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29950 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000302170363 to 7 dps.\nAnswer: 0.0000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56912184?\nAnswer: 2, 3, 7, 112921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 0. Put -70, 3\/7, b in descending order.\nAnswer: b, 3\/7, -70","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45907 and 91611?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2\/61, 0.2, 2\/7, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*d + 632 + 160. Let c(s) be the second derivative of 0*s**2 + 0 + 1\/30*s**4 + 0*s**3 + d*s. Factor c(t).\nAnswer: 2*t**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3406 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3379 is divided by 1680?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 + -20. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10419 - -17388. Is 69 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2848*x - 14 + 2 + 14 + 1 + 5 - 7.\nAnswer: 2848*x + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103777\/45 + 20756\/9. Let z(b) be the first derivative of 7\/10*b**2 + o*b**3 + 12\/5*b - 32. Solve z(v) = 0 for v.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2928628 is divided by 209182?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*l + 12*l**3 - 37*l - 34*l - 6*l**3 + 105*l.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 0*r - 7 + 3\/2*r**2. Let q(w) = -2*w. Determine q(o(b)).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 2:52 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 828, 1518, 2696, 4362?\n\"Answer: 244*g**2 - 42*g + 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -1 + 6*s - 347*s**2 + s**3 + 354*s**2 + 7. What is the least common multiple of q(-6) and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zuu when three letters picked without replacement from uzuuzuzzuzzzxu.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -1. Let x be 5 + (-3)\/(y\/(-2)). Factor -r**2 + 4*r**2 - 4*r**5 - r**2 - 2*r**4 - r - 2*r**4 + 3*r**x.\nAnswer: -r*(r + 1)**2*(2*r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**3 - 4*h**2 - 4. Let d be g(-3). Let l(f) = f - 4. Let b be l(6). Solve 3*r + d = -r - b*k, -3*r - 27 = -4*k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 - 7264*k + 175488.\nAnswer: -2*(k - 24)*(k + 3656)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**3 + 4*s**3 - 2*s**3 - 2*s + 2*s + 2*s**3 + (-5*s**3 + s**3 + 3*s**3)*(-1 - 1 + 4) + 0*s - 2*s**3 + 0*s - 11*s**3 + 46 - 46.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-16))\/(2\/(-20))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 32*t**2 + 29*t - 8. Let h(r) = 27*r**2 + 30*r - 7. What is -6*h(d) + 5*m(d)?\nAnswer: -2*d**2 - 35*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*p**3*q**2 + 607*p**3*q + 5*p*q**4 + q**3 wrt q.\nAnswer: 6*p**3 + 60*p*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1624421 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-4)*2 - (-36)\/(-15)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240 divided by -897?\nAnswer: 80\/299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 37.5. What is the third biggest value in 2\/7, 3, l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -6, -78, -262, -606, -1158, -1966?\nAnswer: -3078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1988 + -1984. Solve -q*y - 27 = 5*p, y = 5*p - 6 + 18 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36360117 and 279.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1701*g**2 + 4 + g**3 + 81*g**2 + 3*g**3 + 4106*g**2.\nAnswer: 4*g**3 + 5888*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j - 10. Let z be f(-6). Solve -10*y - 22 = z for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 + 3\/(-7) + (-2796)\/(-7) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzznznzcznnncqznzz. Give prob of picking 2 c, 1 q, and 1 n.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 5013, 9670, 14327, 18984, 23641, 28298?\n\"Answer: 4657*g + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 5. Which is the fourth smallest value? (a) i (b) -2\/5 (c) 0.3 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 6*t - 7. Let i be u(7). Let k be -30*(-6 + 2 - i\/4). What is the greatest common factor of k and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*c**2 - 162*c**2 + 85*c**2.\nAnswer: -272*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3444799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 1. Let p(j) = 4*j - 1. Let m(z) = -3*n(z) - p(z). Let c be m(2). Let o be (3\/2)\/(c\/4). Is o equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13*(380\/(-247))\/20.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f**3 + f - 6*f**4 - f**4 + 9*f**4 + 4 + 0 to the form y*f**4 + w*f**2 + t + i*f + u*f**3 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**3 + 85*u**2 + 70*u - 160.\nAnswer: 5*(u - 1)*(u + 2)*(u + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0207452 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205 - 204 + 5*f**3 - f**3.\nAnswer: 4*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/4 + 1\/(-2). Let b(r) = -2*r**2 + 8*r - 5. Let m be b(5). Let p = -15 - m. Solve -3*v + 0 + k = p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22396 divided by 4.\nAnswer: 5599","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -172 + 171.6. Let n = 1.48 + -0.08. Which is the closest to 1? (a) 5 (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*(8\/(-20))\/(32\/20)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -21976.543 to the nearest 10.\nAnswer: -21980","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -b25501 (base 14) in base 8?\nAnswer: -26725455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -167*c + 78 + 185*c - 78.\nAnswer: 18*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 4*l + 14 = 36, -3*l = 4*j + 1. Suppose -w - 107 = -4*f, -j*f - f - 3*w = -69. Is f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, f: 11}. Give prob of sequence ffj.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-32)\/32)\/((-1)\/(-2)). Is 7*(z\/6)\/(1\/(-1227)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*n - 315 = 6*n, 2*t + 126 = n. Let q = 93 + t. Let y be 25\/q + 2\/(-6). Which is the closest to 1? (a) y (b) -0.1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -187\/406 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136895209.\nAnswer: 11, 19, 655001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -53, -125, -331, -737, -1409, -2413?\n\"Answer: -11*c**3 - c**2 + 8*c - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/25 - (-91254)\/5675. Suppose 7*j - 2*j - 15 = 0. Suppose j*z - 4 = z. Calculate the greatest common factor of z and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = g + 4*g. Let t be -3*(1 + 0) - -11. Which is greater: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = 4*g + 4*n - 98, 2*n + 20 = 6*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**3 - 3 - 3*f**3 - 3*f**3 in the form h*f**2 + n*f + t*f**3 + u and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/24894 and 173\/124470.\nAnswer: 124470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - (-3 + -3))\/((-3)\/(-6)). Does 6 divide 46 - v\/3*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 512211996 a multiple of 3852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.06? (a) -4 (b) 2 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0091495 millimeters in centimeters?\nAnswer: 0.00091495","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69 and 36188085?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-1)\/(-4)*110\/(-22)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-238)\/(-102)*(39\/52)\/((-1)\/(-4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 11. Solve 2*c - 4*n - n = 3, c - i = -2*n for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-6 - (-45 + 35)) - (0 - -34)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ghhggggggggggggggg. What is prob of picking 2 h?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8 (b) 57 (c) -0.3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 6:45 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 305972?\nAnswer: 2, 76493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27158 is divided by 140?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 237*t**3 + 11*t**2 + 250*t - 262. Give j(1).\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 232 and 1450?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/7? (a) -3 (b) 9 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254059 is divided by 206?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x**2 + 12*x + 8. Let a be k(-9). Suppose 3*w - 83 = o, 20 - a = -2*w - 2*o. Calculate the remainder when w is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 516 + 206. List the prime factors of r.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1999, -3993, -5999, -8023, -10071?\nAnswer: -12149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -27, 94, 219, 348, 481, 618, 759?\n\"Answer: 2*q**2 + 115*q - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j - 5. Let c(y) = 5*y + 4. What is 4*a(b) + 5*c(b)?\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 10:51 PM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -4*p + 209. Let t be x(51). Solve -21 + 16 = t*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h + 4*l + 188 = -6*h, 0 = l. Calculate the remainder when 89 is divided by h.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60.54 - 0.66. Let r = f - -61. Which is the nearest to 5? (a) r (b) 0.1 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s + 6*s - 53*s + 10*s + 15*s.\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -49b36c (base 13) to base 9\nAnswer: -3282756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.669451 millilitres?\nAnswer: 0.000669451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.7 rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1769 is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19255.\nAnswer: 5, 3851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*w - 76*w + 65*w**2 + 2*w**3 - 65*w**2 + 25*w.\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 58*v**3 + 302 - 302 - v**2 + v**2 - v**3 + (2*v + 3*v - 4*v)*(4 - 4 - 2*v**2).\nAnswer: 55*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.8 (b) -8\/15 (c) 4\/17 (d) 0.4 (e) -6\/11 (f) -3 (g) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 5 = 4*g + 9, 5*g - 20 = 0. Which is the nearest to 0? (a) 1\/7 (b) -2 (c) 0 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**3\/3 - 5*k**2\/2 - 61*k - 54. Let s be g(-6). Solve 3*l = -4*z + 6, s*l = -0*z - 3*z - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**3 - 2*y**2 - 4*y - 3. Suppose -2*t = 3*m - 568, 7*m - 2*t = 6*m + 192. Calculate the remainder when (3\/(-6))\/((-5)\/m) is divided by i(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 2*l - k + 31 = 0, 34 = l - 5*k. What is the remainder when l is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000001001011011 (base 2) to base 13.\nAnswer: -36033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 21838680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 653 + 670 = 0. What is the highest common factor of 51 and a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 14*o + 42 = 0, 957*o = 2*r - 7*r + 961*o + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g*o**2 - 4779*g*o + 2*g + 93*o**2 - 18*o wrt g.\nAnswer: 3*o**2 - 4779*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 720 = 78*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (49 + 30 + 51 - 1 + 2 - 2 + (0 + 0 - 2)*(2 + 0 - 1) - 2 - 3 + 4 + 0 + 0 - 1 + 2 - 4 + 4)*(-3*o**3 + 5*o**3 + o**3).\nAnswer: 381*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/132)\/((26\/507)\/((-2)\/(-13)))?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes before 9:25 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 73895 times 0.19\nAnswer: 14040.05","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 6:18 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -16*j - 20. Let h(a) = 2*a**2 - 10*a - 26. Let t be h(j). Solve -7 + t = -u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 1)*(-2 + 5 - 4) + (2 - 6 + 2)*(0 + 1 + 1))*(-l**4 - 134 + 134).\nAnswer: 2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.3, 3, 0.2, 28451 in decreasing order.\nAnswer: 28451, 3, 0.3, 2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17618081, 35236153, 52854227, 70472303, 88090381, 105708461?\n\"Answer: u**2 + 17618069*u + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 175*j**3 - 3*j**2 + 2*j + 1. Let h be 1\/(5 + (-130)\/25). Let r be (-25)\/(-15) - ((-5)\/(-3))\/h. Is s(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 955244 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256978788.\nAnswer: 2, 3, 11, 1946809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1 + ((4*(sqrt(88) - (sqrt(88)*1 - sqrt(88))) - sqrt(88)) + sqrt(88))\/(6*sqrt(11)*1) + 2.\nAnswer: -1 + 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o - 2. Determine h(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -26 (b) 4 (c) -438 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/226636 and -51\/113318.\nAnswer: 226636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89942 is divided by 28878.\nAnswer: 3308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -5. Suppose 3*q - 5*t - 50 = 0, b*q + 3*q - t = 54. Calculate the lowest common multiple of 12 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85 (base 14) to base 15\nAnswer: 7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4340 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/7, -21.7, -22.5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4 + 198264*q**3 + 4913774972*q**2 + 9826955160*q + 4913378450 = 0.\nAnswer: -49565, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8724 by -8724.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2570 + 20990*j - 3*j**2 + 2589 - 5159 + j**2 in the form r*j**2 + b*j + h and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from llyyyyyyy.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-14)\/8)\/(35\/(-10)*(-456)\/399)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25 + -25. Suppose 0 = -u - t*u + 161. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8890710547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 586*c**2 - 6*c + 9. Does 55 divide o(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.116 - 6.116. Put m, 0.4, -0.5, -0.1 in descending order.\nAnswer: 0.4, -0.1, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5201 rounded to 1 decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(5) - (sqrt(5) + 0 + 0) - sqrt(5))**2*2.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2520*c*q*u**2 + 2*c*q + 77*c*u - q*u**2 + q + 426*u**2 + 2*u with respect to c.\nAnswer: 2520*q*u**2 + 2*q + 77*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 11*n = 559. Let c(x) = -x**2 - 51*x - 342. Let u be c(n). Let o = 11 + -8. Solve 0 = -u*a - a + o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -13 - (8\/2)\/(-4). Let f(x) = -x**3 - 11*x**2 + 11*x - 6. Let z be f(c). Solve -a = 2*a - t - 4, 2*t + z = 4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12645535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14458946 is divided by 30.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10807 and 19367?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 27 - 161\/6. Suppose 33 = 3*z - 6*z. Let i be (z\/(-121))\/((-1)\/(-2)). Sort i, 6\/5, v in descending order.\nAnswer: 6\/5, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.032 + -0.718. Let u = 0.25 + m. Let o = 0 + 0. Which is the nearest to o? (a) u (b) -2 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1151.16 to the nearest ten.\nAnswer: -1150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10011, 10010, 10009, 10008, 10007?\nAnswer: 10006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29327 + -29379. Does -67 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) -66 (b) 3\/2 (c) 2 (d) 2\/9 (e) -1.4 (f) 38\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 132 and 4092?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**3 + 2*m**2 - 3*m + 5. Calculate y(2).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4783 is divided by 1590.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 at least 23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, -2, 286, -1.\nAnswer: -6, -2, -1, 0, 286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 265270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/16)\/((-1218)\/(-1624))?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -21536 + 21536. Sort 3862, r, -1 in increasing order.\nAnswer: -1, r, 3862","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 130*g - 51. Let n be s(2). Solve -p = -n + 206 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22612 and 2620.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6210.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 PM and 6:44 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 161 a factor of 3932106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 8 = 3*j, j = 3*p - 0*p + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 556 divide 36551996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2793 and 3386199?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-90)\/(-20) + 6\/4. Suppose -3*c = -g - 11, -c + 3 + w = g. Calculate the least common multiple of c and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6706960 and 17680?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 50 + -49.7. What is the smallest value in -13, 0.4, v?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 8, 5, -3 in decreasing order.\nAnswer: 8, 5, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(1700) + sqrt(1700) + -3)**2.\nAnswer: -120*sqrt(17) + 6810","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742047 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 14 = -2*n - 1, -25 = 4*n + 5*o. Suppose 12 = 3*v - n*v, -4*u + v = -56. Let a be (-3)\/(-9) + 128995\/u. What is a rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6972 divided by -6\nAnswer: 1162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1596 and 12312?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-7)\/(-3) + -3 - (-66)\/18. Suppose 0 = -k*i + 4406 - 671. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 36774606*m**3*n**4 + 17*m**3*n**2 - 1843*m**3 - 2*m**2*n**2 - m*n**4 + 3*n**2 - 42 wrt n.\nAnswer: 882590544*m**3*n - 24*m*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r = -17*r + 39*r - 14 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -27*q**2 + 14*q - 14. Let t(l) = -4*l**2 + 2*l - 2. Let p(s) = -2*f(s) + 14*t(s). Let o(u) = -2319*u. What is o(p(n))?\nAnswer: 4638*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 AM and 11:06 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 145428721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701?\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one thirds of a year in months?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - z = -3*a + 50, 0 = -4*z + 16. What is the remainder when a is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 2*i - 4*i - 5 + 4*i. Determine z(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.5198809 rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -116336 (b) 77 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 545 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178.375 rounded to the nearest one hundred?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 97 - 46. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*f + 0*f - f + (-4*f + 4*f - 2*f)*(3 + 0 - 1) + 21*f - 30*f - 32*f - f + 0*f + 2*f + (-3 - 3 + 4)*(-f + 2*f - 3*f) to the form l + n*f and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1195 + 1192. Which is the fourth biggest value? (a) -1\/6 (b) -77 (c) l (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-6 - -4) + 3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5 + (-13)\/(-3) + (-40)\/(-6). Suppose -2*c + 2*s + 2656 = 0, -4*s - 5342 = -4*c - k*s. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.3 - 0.3. Let g = -237.133 + 241.13321. Let j = f - g. What is j rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*m - 6 + 41. Let o(i) = -7*i - 32. Is 3 a factor of o(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 14*c - 30. Let g be b(12). Let w(f) = f**3 + 7*f**2 + 6*f - 1. Determine w(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 979396890 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*r + 280 = -25*r + 40*r for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39284198?\nAnswer: 2, 43, 47, 9719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 7:51 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.1, 1\/6, -0.3, 59010, 7 in ascending order.\nAnswer: -0.3, -0.1, 1\/6, 1, 7, 59010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + -10 + -1 + 4. Let n = x - -7. Let 2\/5*d**n + 2\/5 - 4\/5*d = 0. What is d?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54.16 - 56.16. Which is the third biggest value? (a) -73 (b) -27 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(98)\/(sqrt(63) - sqrt(7)) + sqrt(126)\/(sqrt(81) + sqrt(9))))\/((sqrt(756) + (sqrt(756) - sqrt(756)*-2)*-3)\/sqrt(12)).\nAnswer: -5*sqrt(2)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 28. Let a(m) = -m**3 + 11*m**2 - 8*m + 3. What are the prime factors of a(n)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101100111100001 (base 2) to base 16.\nAnswer: -59e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/720 and 113\/2400?\nAnswer: 7200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4871 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13989853 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-4*8\/(-96))\/(4\/(-18))*(-2984)\/(-87282)\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 + 34. Let y = h + -6. Solve -5*q = 4*k + y, -1 = -5*k - 4*q - 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3320006*-2 - (1 - -1). Let u = g + 4218519. Let x = 7478505 - u. Round x to the nearest one million.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (312\/(-20))\/((-3)\/10).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -763 - -820. Calculate the remainder when 102 is divided by d.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1722, 4440, 7174, 9924, 12690, 15472, 18270?\nAnswer: 21084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**2\/11 + 3396*o\/11 + 1441602\/11 = 0. Calculate o.\nAnswer: -849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(7623) - -2*(sqrt(63) - sqrt(1008)))\/((sqrt(1089) + (sqrt(1089) - -2*sqrt(1089)))*-6 + sqrt(1089)).\nAnswer: 17*sqrt(7)\/253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -135 - -79. Let o(i) = -2*i**3 - 3*i**2 - i - 1. Calculate the lowest common multiple of o(-2) and (-6)\/(-8) + (-294)\/y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*z - 48342 = -49102 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -c47 (base 13) in base 12?\nAnswer: -125b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/40 and -4\/35615.\nAnswer: 284920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 13) to base 12\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -123827*h**3 + 130037.\nAnswer: -371481*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/21? (a) 5 (b) 1 (c) -0.3 (d) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53542 (base 6) to base 3.\nAnswer: -101001122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.7 * 1.11404.\nAnswer: 23.060628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -640, -189, -3 in descending order.\nAnswer: -3, -189, -640","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 294 - 897. Is (-24)\/(-2)*d\/(-36) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -303.378 rounded to zero decimal places?\nAnswer: -303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/4 + (-66)\/(-24). Suppose 1 + 45 = 5*w + m*t, 0 = 4*w + 2*t - 38. Suppose -7 = -4*d - h, 3*d - w*h + 12 = -3*h. Sort 4, d, 7 in decreasing order.\nAnswer: 7, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, m: 6, o: 10}. Give prob of picking 2 m.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t**2 - 17635*t - 8820 = 0. Calculate t.\nAnswer: -1\/2, 1764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**7\/1680 + d**6\/480 - 5*d**4\/12 + 2*d. Let p(f) be the third derivative of q(f). Factor p(i).\nAnswer: 3*i*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 153 divided by 3510\nAnswer: 17\/390","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1750 - 1260. What is the remainder when b is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -214, -387, -558, -727, -894?\n\"Answer: t**2 - 176*t - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1511164 divided by 22223.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2 + 217*g?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05803129 rounded to one decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s = -32 - 88. Suppose -d - y - 1 = 0, -s*d = -6*d + 5*y - 7. Let b(g) = g**3 + 2*g**2 - 4*g + 3. Calculate b(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0892 - -0.0108. Is 340 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i**3 + 4*i**2 - 14*i + 4. Let g be z(-6). Solve 5*a = a - g for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 9 + 9. Let r(g) = -5*g + 2. Let o(p) = p - 1. Let k(q) = -6*o(q) - r(q). What is k(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 18, -8, 3 in decreasing order.\nAnswer: 18, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*y - 6 + 6.\nAnswer: 32*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-15))\/(2\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16863*d**3*q**3 - 211207*d**3*q**2 - 3*d**2*q**3 - d*q**3 wrt q.\nAnswer: 101178*d**3 - 18*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 482259129?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116591?\nAnswer: 31, 3761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a decade in months?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (7 - (13 + -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 12\/41 (b) -49 (c) 6.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 h when two letters picked without replacement from twowwothtrw?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 27361 + 5419 = 0. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-843)\/(-82) - (-92 - -102) and -74\/123.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -2*u - 40. Suppose -5*k - 6 = -u*k. Sort 1, 4, k, -3 in descending order.\nAnswer: 4, k, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.2 - 5. Let g = -0.001 + -0.999. What is the second biggest value in -1\/2, h, g?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 9 + -12 + -1 + 1 - -22?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -106*v - 62. Calculate y(-5).\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -279 divided by -93?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*12\/(2 + 1). Calculate the least common multiple of (-38)\/(-2) - (5 + y) and 3*(0 - (-4)\/3).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, h: 2}. Give prob of picking 2 h.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 275 and 66?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1 + (sqrt(48))**2)*-2 - (sqrt(243) + (sqrt(243) + 0)**2)*-1).\nAnswer: 9*sqrt(3) + 152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -52?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(0 + 7 - 4\/((-176)\/(-307))).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066 a factor of 433933826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*4*(-6 - 6). Suppose 58*j - 60 = 38*j. Calculate the highest common divisor of g and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3906 and 45164?\nAnswer: 12600756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 13*c**2 - 13*c + 16. Let q be j(-14). Let g be (q\/(-4) - -1)\/((-2)\/4). What is the second biggest value in -3\/4, g, 0.5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.0391965 to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 164 = 2*k. Let c = k - -46. Let g = 72 + c. What is the highest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1672*v + 2615*v - 592233 = -112089 for v.\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 110*s**2 - 316*s + 537. Give j(-107).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate s**2*u - 316*s*u**3 - 1486*u**3 with respect to s.\nAnswer: 2*s*u - 316*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of 0*n**3 + 0*n**2 + 0 + 5*n + 7\/6*n**4 - 3\/5*n**5. What is the third derivative of o(j) wrt j?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5150015 = -5*d - 5*t, 0 = 5*t + 4 - 19. Round d to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 9. Let u be a\/9*(-3 + 3). Suppose 2*l = 3*i + 21 + 10, -l + i + 16 = u. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190223683 and 28990.\nAnswer: 1902236830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t + t + t**2 + (3 + t - 3)*(-3*t + 2*t + 4*t) + 11*t**2 + 115 - 115.\nAnswer: 15*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 24724897 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(190)*-5*2)\/((sqrt(180)\/sqrt(3))\/sqrt(6)*2).\nAnswer: 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + a - 4, 29*y - 25*y + a = 9. What is the third biggest value in 5, y, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7917 + 8082. Solve 11*p = -209 + z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 + -16. Suppose r*y - 19 - 35 = 0. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -b**5\/20 + 7*b**4\/12 - b**3\/6 + 4*b**2 - b. Let i be d(7). Is i\/(-2) + 38\/4 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2573714?\nAnswer: 2, 11, 13, 8999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1308, 4821, 10532, 18441, 28548, 40853, 55356?\nAnswer: 72057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 - 39*u + 1. Let w(d) = -d**2 - 39*d + 1. Give -4*w(l) + 3*y(l).\nAnswer: l**2 + 39*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30041847?\nAnswer: 3, 11, 11239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 25 - -278832?\nAnswer: 278857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 113337.\nAnswer: 3, 7, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-3 + (4*(sqrt(208) - (0 + sqrt(208))) - -2*sqrt(208)*1) + -5).\nAnswer: -40 + 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9172*j + 38712 - 515656 = 0 for j.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58421 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (189\/(-9))\/(2 - 3). Suppose -i = -4*o - 5. Solve 2*x + 3*z - 2 = 0, -7 = 3*x + o*z - 2*z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 + 7*l - 6. Let n be s(4). Suppose n = -4*p - 2*q, -q = 4*p + 4*q + 55. Let a = 28 + p. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1\/f)**(-2)\/(f*f\/(f\/(f\/((f*f*f\/(f\/(((f*(f*f**5)\/f)\/f)\/f)*f*f))\/f*f))))**(-29) assuming f is positive.\nAnswer: f**(-58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-210)\/9*-3. What is the units digit of 1\/5 + n\/(-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1873?\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k - 340 = -45*k + k + 1385 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 - 50*s + 7. Let b be c(25). Suppose -b = n - 3*g - 2, 2*n - 2*g + 2 = 0. Solve -3*j - 11 = -5*z, z - n = -3*j + 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10586833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4*w + w**2 + 5*w**2 + w - w**3 - 7. Let n = 18 + -12. Suppose -9 = -3*l + n. Give c(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.065 or -519?\nAnswer: -519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjss when four letters picked without replacement from {s: 15, j: 3}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -250 + -118?\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q - 5. Let j be ((-1)\/(-7) + (-91)\/(-49))*2. Calculate the remainder when 8 is divided by w(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 5*h**2 + 5*h**2)*(4*h - 5*h + 2*h) - 1941226 + 1941226 - 5056*h**3.\nAnswer: -5054*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -136*x**3 + 1857*x**2 - 6430*x - 143. Let b(r) = -543*r**3 + 7425*r**2 - 25719*r - 573. Let y(c) = 4*b(c) - 15*z(c). Let y(i) = 0. Calculate i.\nAnswer: -1\/44, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 90*m**3 - m**2 + m + 2. Let j(c) = 179*c**3 - 2*c**2 + 3*c + 4. Let x(s) = -2*j(s) + 5*r(s). List the prime factors of x(1).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17977033, -17977029, -17977025, -17977021, -17977017, -17977013?\n\"Answer: 4*l - 17977037","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 7, a: 2, l: 1, w: 5, n: 3, r: 2}. What is prob of sequence lraw?\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/4*200\/(-300). Let n = -9.3 - -9. Which is the closest to f? (a) 0.01 (b) n (c) 3 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43.895 from -0.4.\nAnswer: -44.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9662\/134837 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -169 + -103. Let c = i - -272.2. Which is smaller: c or -100?\nAnswer: -100","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199913 + 199913 + 7*b**2.\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 4*f + a = 2, -3*f - 4*a = -8. Suppose 0 = -2*q - 2, f = 2*w - 5*q + 151. Let k = -54 - w. Does 24 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3 + 35*y + 30*y + 36*y - 113*y.\nAnswer: 3*y*(y - 2)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86437?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06144994 to 3 dps.\nAnswer: -0.061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k**4\/4 - 8*k**3\/3 - 9*k**2\/2 + 2*k + 1. Is 16 a factor of v(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(2\/23)*m\/(m\/(m\/(((m*m**(-15))\/m)\/m))) assuming m is positive.\nAnswer: m**(393\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/(-380) + (-279)\/(-57). Suppose 5*t = y, -7*x - 4*t + 48 = -3*x. What is the remainder when 384 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3647, 7236, 10825, 14414, 18003, 21592?\n\"Answer: 3589*p + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -6*u**2 - 5*u. Let y(o) = o**3 + 11*o**2 - 2*o - 3. Let l be y(-11). Let b(j) = 18*j**2 + 17*j**2 - 69*j**2 + l*j**2 + 13*j**2. Determine b(a(z)).\nAnswer: -72*z**4 - 120*z**3 - 50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*x**2\/17 - 146*x\/17 + 60\/17.\nAnswer: -2*(x + 15)*(5*x - 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 31*q - 4. Let l be c(14). Let r be (-10)\/(-30) - (-550)\/6. Suppose 0 = -5*d + 5*m + l, -82 = -2*d + 3*m + r. Is 14 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*x - 8 = 0, -2*u + 4*x - 4 + 12 = 0. Suppose -4*i + 2*g = 736 - 2954, -2223 = -u*i + g. Is i a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*r + 25746 = -3*r, -3*i - 2*r + 25731 = 0. Let v = 23421 + i. Let t be v*((0 - -2) + 3). Round t to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s**(-2\/35)\/s*s)\/(s\/s**(1\/6)))**(-2\/81))**(-16\/3))**(-3\/34) assuming s is positive.\nAnswer: s**(88\/8505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2 - 24*c**2 - 2 + 15*c**2. Let y(z) = 3*z**2. What is w(y(h))?\nAnswer: -81*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3539769 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -35 + 1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 7*y + 13. Let i = 1 + 0. Suppose -12 - i = -v. What is the tens digit of f(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 + 20002?\nAnswer: 20102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**3\/2 - 2610*b**2 + 2394327*b\/2 = 0.\nAnswer: -2117, 0, 377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/4 (b) -93 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48684 + 11153*i + 48684.\nAnswer: 11153*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 8*q**2 - 11*q + 172. What is the tens digit of u(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, k: 3, c: 2, w: 1}. Give prob of picking 3 k and 1 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-4) - (68 - 67))*(-49)\/(-105)?\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 128370, 129024, 129678, 130332, 130986, 131640?\nAnswer: 132294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13.72 + 13.92. Which is the nearest to 308? (a) -4 (b) 5 (c) o (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4 - 9513*m**3 + 57102*m**2 - 114220*m + 76152 = 0. Calculate m.\nAnswer: -9519, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*v**2 + 3*v**4 - 21*v**5 + 2*v**2 - 3*v**4 wrt v?\nAnswer: -1260*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-22)\/(-40) - (-1)\/5)*4. What is the second derivative of -55*n + 21*n**3 - 13*n - 11*n**r - 8*n**3 - 33*n**2 wrt n?\nAnswer: 12*n - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -173 - -173. Let g = 0.268 - -19.032. Let y = g - 19. Which is the nearest to -4? (a) z (b) -4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-4)\/4*0 - -4. Which is the closest to 0? (a) f (b) 2 (c) 55\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - o**2 + 0 + (10*o + 0*o - 2*o)*(3 - o - 3) - 3*o**2 - o**2 + 2*o**2 - 2 - 2*o**2 + 2 + (3 - 2 - 2)*(3 + 2*o**2 - 3) as d*o**2 + f*o + h and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2406912 rounded to three dps?\nAnswer: 0.241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -547*l**2 + 4*l - 1032. Let y(a) = 2*a. What is n(y(h))?\nAnswer: -2188*h**2 + 8*h - 1032","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 211? (a) -1 (b) 1\/4 (c) -0.17 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 232 - 148. Is (9*p\/45)\/(1\/5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 - -1083423.73679374\nAnswer: 1083422.83679374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 1800 divide 933456600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4525?\nAnswer: 5, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 + 19*a**2 - 19*a + 12. Let x be n(18). Let y(c) = -21*c - 19. Let o be y(x). Let d = o + 41. What are the prime factors of d?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of -w**11\/27720 + w**7\/840 + w**4\/12 - 3*w. Let f(a) be the third derivative of t(a). Find the third derivative of f(p) wrt p.\nAnswer: -240*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.6 - -0.4. Let v = 580 - 580.4. Which is the nearest to 0? (a) l (b) -5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 12 = 0, -11*c - 3*r = -6*c + 1 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7072\/234 + 4\/(-18) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 203874?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*k + 3*m - 12, -4*k - 3*m - 124 = -94 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 4*l = 7. Let f(v) = -v + 15. Let r be f(l). Solve 0*w - 4*w = r for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 2*t = -2. Determine n so that -25*n - n**5 - t*n**4 + 53*n + 2*n**2 - 27*n = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 445086222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in -5, 4, 5\/6, -0.4, 2.114?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h**2\/4 + 162487*h\/4 + 731151\/2 = 0. What is h?\nAnswer: -162478, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*g - g + 2*z, 5*g - 20 = 3*z. Suppose 5*t + 2*d = 0, 0 = 2*t + 2*d - g*d. Solve -16 = -4*n - t*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.012 + 1.612. Let x = z - 25.6. Let d = 24.12 + x. Is d < -2\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -5*c + 80. Determine t(19).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 11:55 PM?\nAnswer: 2:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 1 + 2. Suppose 0 = -3*v + t - 3 + 1, -t + 2 = g*v. Solve v = -2*k - 8, -3*c - 3 = -k + 2 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11\/2, -3, 0.16, 0.2.\nAnswer: -3, 0.16, 0.2, 1, 11\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14031342 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1081 divide 201342736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*y + 3 - 7 = 0, -2*y + 8 = 2*g. Let w be 14\/5 + 2\/10. Calculate the least common multiple of 57\/12 + w\/(-4) and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -330 = 40*k - 111*k + 49*k for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -3, x + 2*k = -0*x + 3. Let r = 42411 + -42407. Put -1, x, r in increasing order.\nAnswer: -1, r, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 142697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (12 + 6) - -22\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*z - 180, 185 = 4*z + z + 2*u. Suppose z - 90 = -5*k. Is k a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 123\/15 + (-16)\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61*b**2 + 377*b - 2 wrt b?\nAnswer: 122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -2*(sqrt(475) + sqrt(475) + sqrt(475) + 5*(sqrt(475) + 0) + sqrt(475)) - (-3*((-2 + sqrt(475) - sqrt(475))*4 - sqrt(475)) + -4))*-5)**2.\nAnswer: 84000*sqrt(19) + 5243275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/17034 and 15\/23768108?\nAnswer: 71304324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 2*i. Let y(d) = -10*d + 10. Let t(v) = -v**2 + v - 1. Let b(f) = -10*t(f) - y(f). Calculate w(b(r)).\nAnswer: 20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 552*x**3 - 1108*x**3 + 585*x**3.\nAnswer: 29*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(8)*-4 - (-1 + sqrt(242) + 0 - sqrt(242)))**2.\nAnswer: 64*sqrt(2) + 2049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, g: 6, c: 4}. Give prob of picking 2 c and 1 g.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0295324527 to six decimal places.\nAnswer: 0.029532","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 5*m**4\/4 - 35*m**3\/3 + 55*m**2\/2 - 25*m - 1021. Factor l(y).\nAnswer: 5*(y - 5)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 5*g - 1. Let w be z(5). Let o = w + 72. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43383945.5 rounded to the nearest ten thousand?\nAnswer: -43380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.13817 - 196026.\nAnswer: -196024.86183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -2519 - 3\nAnswer: -2522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 890516 (b) -0.4 (c) 4 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -136*y + 2*y**2 + 622 + 1474 + 216.\nAnswer: 2*(y - 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9388 + 20242. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(-2*sqrt(240)\/sqrt(4) + -1*sqrt(540)))\/(sqrt(108)*-2 + 2*sqrt(768)))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -39.596 - -68350.4\nAnswer: 68310.804","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*m - 3*m + 4*m)*(-1 - 2*m + 1).\nAnswer: -22*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 8:41 AM?\nAnswer: 1:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -387 or -1163\/3?\nAnswer: -387","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -63*h - 5 + 21*h + 16*h + 3 to l*h + p and give l.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14617*l - 7770 = -14632*l. Calculate the greatest common factor of l and 3478.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5544468 and 241926?\nAnswer: 3966","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 97\/132?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 137855913, 137855914, 137855915, 137855916, 137855917, 137855918?\nAnswer: 137855919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 298 + -65?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5\/3 (b) 2 (c) 3 (d) -0.142\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, o: 4}. Give prob of picking 2 o.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 392\/5 - 79. Which is the third biggest value? (a) -0.11 (b) -5 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 16 = 4*u, -4*u + 2*m + 0*m = -44. Is 21 a factor of (-70)\/(u\/(-6)*3\/27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26 in -1, -1.1, -28\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/28 + 510\/8. Suppose -h + 556 = -4*n. Let q = -613\/5 - n. What is the smallest value in q, -0.4, -0.2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 218, 1783, 6028, 14291, 27910, 48223, 76568, 114283?\n\"Answer: 223*w**3 + 2*w**2 - 2*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78174.29mg in tonnes?\nAnswer: 0.00007817429","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 97*k - 92*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -713384.697 rounded to the nearest 1000?\nAnswer: -713000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-2)*(-10 - 371\/(-35)). Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.6 + -3.455. Let o = 0.063 - p. What is o rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/(-21))\/((-16)\/28))\/(((-1110)\/84)\/(-37))\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3395 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*z = 8*z - 64 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -9726*t**2. Let m(r) = 39*r**2. What is m(d(s))?\nAnswer: 3689207964*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -825193, -4, 3, 41 in ascending order.\nAnswer: -825193, -4, 3, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -35*38\/(304\/(-2040))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 7*q**3 + q**2 + 4*q**2 + 6*q**3.\nAnswer: -q**2*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/16 of a centimeter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 89596528.08 rounded to the nearest 100000?\nAnswer: 89600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 + 0)\/(-1 + 0). Sort 0.1, -62, z.\nAnswer: -62, z, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55.11 - 55.2. Sort 1\/2, w, 0, -1\/2 in descending order.\nAnswer: 1\/2, 0, w, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 566 and 14.\nAnswer: 3962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/8, 5\/8, 0.2, 4290466?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/13, 0.03, 305, 13\/5, 6, 12, 0.1?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.291146 - -3.70898. Let d = 42 + -35. Let a = t - d. What is a rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c = 2*y - 23, -32 = -5*y + 21*c - 25*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 10:22 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 162 - 161. Let x(o) = 6*o**2 - o + 2. Let u be x(r). Let v(l) be the second derivative of l**3\/6 - 13*l**2\/2 - 2*l. Calculate v(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-6*(sqrt(104) + (sqrt(104) - 1*sqrt(104)*-4) - sqrt(104)))\/(-5*sqrt(80)\/sqrt(10)*6))**2.\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3511054 (base 7) in base 15?\nAnswer: -8a47a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r + 5 = 18. Is -5\/53 equal to r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-8)\/24)\/((-1)\/3))\/3. Let d = 95 - 95. What is the nearest to d in 2\/3, -0.7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-2\/5)*r)\/(r**8*r)*((r\/((r\/(r**(-4\/9)\/r))\/r))\/r*r)\/r*(r\/r**(1\/3))\/r)**15)**(-2\/15) assuming r is positive.\nAnswer: r**(916\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f + 1. Let t be (-42)\/((-18)\/4 + 3). Let h be (-1)\/3 - t\/6. Calculate n(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3 + (sqrt(720) + 0 + 4 + (-2*sqrt(720) - sqrt(720))*6 - (sqrt(720) + 1 + 2 - sqrt(720))*-5))**2.\nAnswer: -7752*sqrt(5) + 208441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1502 is divided by 49?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52\/343 or 0?\nAnswer: 52\/343","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47, -6, -1\/2, 39\/11.\nAnswer: -6, -1\/2, 39\/11, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/((-5)\/(-54))*(-10)\/(-3). Suppose -a = -8*f - f. Find the second derivative of 26*c**5 - f*c + 40*c - c**3 + c**3 wrt c.\nAnswer: 520*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**2 + 80*s - 42. Calculate i(-20).\nAnswer: -442","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*sqrt(1216))**2 - sqrt(1216).\nAnswer: -40*sqrt(19) + 1220","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 + 3488*l + 35280.\nAnswer: -4*(l - 882)*(l + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -3*v + 8. Let n(t) = t**3 + 16*t**2 - t - 13. Calculate the remainder when v is divided by n(-16).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -150, -222, -294, -366, -438?\nAnswer: -510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 10\/9*v**3 + 0*v + 8\/9*v**2 + 2\/9*v**4 + 0 = 0?\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21439807\/5 or -4287960?\nAnswer: -4287960","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -2. Suppose -s*o - 36 = -5*k - 10, 3*k + 5*o = -14. Let v(m) = -m**2 - m + 1. What is v(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 1\/96*x**4 - 1\/480*x**6 + 0 - 1\/24*x**3 + 0*x + 2*x**2 + 1\/240*x**5. Factor z(u).\nAnswer: -(u - 1)**2*(u + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 + 8*y - 3. Let p be f(6). Let o(r) = 24*r - 9. Calculate the remainder when o(p) is divided by 35.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3935, -3341, -2745, -2147, -1547, -945?\nAnswer: -341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5*6\/(-10)*1)\/(-1). Suppose -3*u + 2*c + 729 = -f*c, 4*u - 1004 = -4*c. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 13*r - 11. Let j be s(-13). Let z = j - -15. Solve 0*m + m = 4*h - 4, z = 3*h - m for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*j**4 - 2 + (4*j - 4*j + 15*j)*(3*j + 2*j**3 - 3*j) + 2*j**2 - 2*j**2 + j**4.\nAnswer: 29*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1812 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at least -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2 + 4086*x - 4855464 = 0. What is x?\nAnswer: -2124, 762","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -3*k**2 + 21*k + 15. Let d be v(7). Suppose -12*x = -13*x + d. What is the remainder when x is divided by (-4 - -8)\/(-4) - -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 6419*l - 211797. Determine x(33).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 30*m**2 - 59*m + 1. Calculate the lowest common multiple of 690 and t(2).\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22615750?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/5 + 767748*r\/5 - 153550.\nAnswer: 2*(r - 1)*(r + 383875)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (11 - 10))\/((-4)\/(-3))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -4*m + 3*t, -2*m + 2*t + 1 + 15 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35274.\nAnswer: 2, 3, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k - 6. What is h(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 16) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -18*v**3 - 15*v**2 + 10*v + 6490. Let p(l) = -10*l**3 - 9*l**2 + 6*l + 3244. Give -3*k(c) + 5*p(c).\nAnswer: 4*c**3 - 3250","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5918, -10311, -14704, -19097, -23490?\nAnswer: -27883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/18)\/(580\/145).\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (144\/(-45))\/(18\/45). Let j(l) = -l**2 + 3*l + 12. Calculate j(z).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 849*q + 0 + 844*q - 5*q + 3*q - 2 + 0*q + 0*q - q + 2*q + (-1 + 6 - 3)*(-3*q + 0*q + 2*q) + 0*q + 5*q - 6*q to m + g*q and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 10*h**2 + 2*h + 24. Let v be d(-10). Suppose 11*y - v*y - 140 = 0. Does 5 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 1 + (-5 - -5). Let f(k) = 2*k - 4. Let h(q) = -q + 3. Let s(i) = b*f(i) + 3*h(i). Let w be s(-1). Solve u + w*u = -2*a - 4, -2*u = -3*a - 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -27070 and -0.79.\nAnswer: 21385.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3. What is the closest to w in 4, 3\/4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 PM and 2:56 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 33*n + 145, -3*v - 4 + 13 = 5*n - 1 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 37, 58, 87, 124?\nAnswer: 169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a decade in months?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**2*h*x - 8*a**2*h + 13*a**2*x + a**2 - a*h*x + 348*a*h + 17*h*x + 1 wrt a?\nAnswer: -6*h*x - 16*h + 26*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**3 - 13*i**2 - 48*i - 5. Calculate t(-5).\nAnswer: -340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = k - 3*l - 1856 + 1861, -4*k - 3 = 5*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 583.438 times 0.6?\nAnswer: 350.0628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 3 + 5)*(-2 + 5 - 5)*(-7*b - b - 14*b) as k*b + m and give k.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3765, -7544, -11323, -15102, -18881, -22660?\n\"Answer: -3779*v + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 3 (b) 201 (c) -0.2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 80\/(-200) - 9097\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -7. Let b(r) = -r**2 - 9*r - 6. Let f be b(-1). What is the second derivative of 10*g**i - f*g - g - g wrt g?\nAnswer: 200*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -53406694, -53406695, -53406696, -53406697?\n\"Answer: -m - 53406693","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/6 of a hour in seconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 8 = -0*u. Suppose 0*b = -4*b + 8. What is the third derivative of 2*m**4 + 0*m**u + 0*m**b - 3*m**2 + m**4 wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -6 - (-1 - 2) - -4. Let c be y\/4 + (-15)\/12. Let a(s) = 5*s + 9. Let z(k) = k + 2. Let i(u) = 2*a(u) - 9*z(u). Determine i(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 430\/3 or 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221 is divided by 15176\/133 - ((-679)\/(-133) + -5)?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 + -19. Let p = 3 + f. Let 0*u**2 + u**4 - u**2 + p*u**3 - 15*u**3 = 0. Calculate u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140163755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the second derivative of -y**5\/90 + 5*y**4\/54 + 14*y**3\/27 + 3*y + 14. Determine t, given that g(t) = 0.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -827*i + 920*i + 1488 for i.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -15607 greater than -5638?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/43 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*w = 12, 3*p - 5 - 7 = -5*w. Suppose -p*h = -0*h - 5*r - 58, 3*h - 5*r = 41. Let i = h + 3. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2 - 12*j + 4. What is the remainder when z(-7) is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -643 times -0.2\nAnswer: 128.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(2*r + 0*r + r)*(-2 + 1 - 1)*(6*r - 7*r - 8*r).\nAnswer: 54*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from nttnttt.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 431, 3002, 10001, 23648, 46163, 79766, 126677, 189116?\n\"Answer: 370*h**3 - 6*h**2 - h + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3*(-4)\/(-18))\/(182\/14469)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 2*a + p, -4*p = 3*a - 2*a - 37. Suppose n - 113 = -a. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 + 9996.714515194.\nAnswer: 9997.014515194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4398904998?\nAnswer: 2, 3, 244383611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*z**4 - 4098909*z**3 + 106198414.\nAnswer: 20*z**3 - 12296727*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -154 - -66. Let z = 82 + x. Let s be 30\/(-4)*(-6)\/60. What is the second smallest value in s, z, 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/1359 - -452\/1359. Which is the nearest to 1? (a) -2 (b) -0.4 (c) n (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 44 = -3*i - 4, 4*i - 15 = h for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6493141.\nAnswer: 6493141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 4808.227 centuries?\nAnswer: 480.8227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 10:52 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -231 + 230.8. Which is the third biggest value? (a) -1 (b) -2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(120\/18))\/((56\/(-7))\/8).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -18170000 rounded to the nearest 1000000?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 0.05, -0.4 in descending order.\nAnswer: 3, 0.05, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 11 - 101 = 0. Let x be 63 + -1 - (-49)\/((-833)\/136). Calculate the greatest common factor of z and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i = 4*a + 41, -2*i - 24 = -6*i + a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of -20*f**5 + 130*f**4 + 499*f**3\/3 - 115*f**2\/2 + 6*f + 428. Find k such that n(k) = 0.\nAnswer: -1, 1\/10, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + 4, 0*r = -4*r + 2*n - 8. Let q(a) = -5*a. Let g(w) = -w. Let b(p) = r*q(p) + 2*g(p). Let h(u) = -28 - 26 + 54 + u. What is b(h(m))?\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10001 to two decimal places.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-64) - (-4)\/((-128)\/(-228))) + 1728\/(-27)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4910161 millilitres?\nAnswer: 0.0004910161","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 10*s + 23*s + 3*s.\nAnswer: 32*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-10) + 23\/5 - 3. Let j be ((-2816)\/(-96))\/(b\/6). What is the greatest common divisor of j and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-4 + sqrt(5) + 2 - (sqrt(320) + 2*sqrt(320)))**2 + (sqrt(20)\/(-6*sqrt(64)) - (sqrt(720) + -1 + sqrt(5))*-2).\nAnswer: 11663*sqrt(5)\/24 + 13243","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -9*r + 5. Let w(h) = h**2 + 8*h - 5. Let g(n) = -2*l(n) - 3*w(n). Suppose j - 96 + 111 = -5*p, 0 = -p - 2. What is g(j)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -23*c**5\/20 - c**4\/4 - 5*c**3\/6 - 2*c**2 - 26. Let z be y(-1). Which is smaller: -69 or z?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p + 3*l - 7*l = 38, 14 = 2*p - 2*l for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.239 + 0.139. What is the fourth biggest value in 0.4, l, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -203*q. Let l(s) = 10*s**2. What is l(u(f))?\nAnswer: 412090*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -414 + 576. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -22*n**2 - 14*n + 30. Let c(z) = z**2 + z - 1. Let i(w) = -5*c(w) - o(w). Is i(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2 (c) 0.1 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 49888 and 52?\nAnswer: 648544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4221, 4166, 4077, 3954?\nAnswer: 3797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 216627864*b**3*o**3 + 15*b**3*o + 72*b**3 - 8*b**2 + 8*b*o - b - 9 wrt o?\nAnswer: 1299767184*b**3*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - -3. Let q be (f*1)\/(4 + -2). Solve 9 = q*p - 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38 + -36. Suppose -w - 10 = w, -5*w = -v*a + 141. List the prime factors of a.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 15*f - 28. Solve -f*i + 12 + 3 = -3*s, -s + 5*i = 18 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 313 = 3*m - 10*m, -5*m - p + 6*p = 200 for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 12 + 13. Suppose -m*u = -2*u. Suppose -4*v + 4*o + 20 = 0, u*v - v + 15 = -3*o. Sort -2\/7, v, 4 in increasing order.\nAnswer: -2\/7, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.72 - -13.8. Let v = -0.32 - n. Let g = -3 + v. What is the third biggest value in 0.2, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -60, -3, -5, 7 in ascending order.\nAnswer: -60, -5, -3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 10*u**2 - 8*u - 2. Let j(g) = g**2 - g. Let d(t) = 12*j(t) - o(t). Calculate d(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 193 = 2*u - 2*v - 17, 4*u + 4*v = 428. Calculate the greatest common factor of 1113 and u.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes after 7:42 PM?\nAnswer: 2:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -1\/2 (b) 220 (c) 33\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3 = -1. Let p = 1 + f. Let s(v) = 27*v + 102. Let y be s(-3). What is the highest common divisor of y and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -476 or -2373\/5?\nAnswer: -476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 6. Find g such that -14*g - i*g**2 + g**4 + 16*g - 2*g**3 + 3 + 0*g**3 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*v**2 + 14*v**6 - 22*v**6 - v**2 wrt v.\nAnswer: -960*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -547*x**5 - 10*x**4 - 409*x**2 + 234*x**2 + 5 + 7*x**4 + 3 wrt x.\nAnswer: -32820*x**2 - 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, -108, -125 in decreasing order.\nAnswer: 25, -108, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 38*a + 24. Let i be s(6). Suppose -3*x + i = -x + 2*m, 2*m = 2*x - 252. What are the prime factors of x?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -442*h*u**3 + 107*h*u - 6*u**3 + 5*u**2 wrt u.\nAnswer: -2652*h - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s - 4*u + 48 = 0, -3*s - 2*u = -28. Let m be 4\/(s\/14) - 3. Calculate the highest common divisor of m and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 453452224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 185474?\nAnswer: 2, 92737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**6\/120 - x**5\/12 + 7*x**4\/24 - 5*x**3\/6 + 213*x**2. Suppose -5*f + 13 = -7. Calculate r(f).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 9 (b) -53 (c) 2\/7 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 3*v - 1. Let g(r) = r - 1. Let m(j) = j**2 - j - 1. Let d be m(0). Let h(t) = 17 + 21 - 5*t + 13. Let b be h(10). Give b*g(k) + d*n(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4893.1 + -4893. Which is the closest to g? (a) 0.3 (b) 0.02 (c) -8\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52, -55, -46, -19, 32, 113, 230, 389?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/816 and 29\/312528.\nAnswer: 312528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(24\/(-6)) - 13393\/(-4). Suppose 0*k = -3*k + w. Suppose 0 = -9*n - 3*n + k. What are the prime factors of n?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 336 = -17140. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-15) - (-528)\/90. Let c(p) = -20*p + 125. Let j be c(s). Suppose -3*a - a = 12. Put a, 1, j in decreasing order.\nAnswer: j, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*l + 457688. Let g(s) = 5373*s - 3005. Let i be g(13). Let b = i - l. Round b to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -126 - 10. Let y = v + 135.9859. Round y to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 594 and 11?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x + 31 = 200. Suppose 2*w = 13 - x. Suppose w = 5*t + 4 - 94. Does 18 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 0*u**3 + 4*u**3)*(5*u + 2*u + u)*((2 - 2 + 1)*(-12*u + 5 - 5) + (-2 + 2 - 2)*(2*u + 5*u + 4*u)).\nAnswer: -816*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -5*l**2 + 26*l - 21. Let j(x) = -3*x**2 + 17*x - 14. Let d(y) = -5*c(y) + 8*j(y). Let r be d(-7). Solve r = 2*s + s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4812800 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.43953 and -1.74?\nAnswer: -0.7647822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 0*k**3 - 1\/108*k**4 - 1\/270*k**5 + 0*k + 0 - 5*k**2. Factor o(r).\nAnswer: -2*r*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1992923?\nAnswer: 1031, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = -6039*g + 6029*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18034.41 + 18178. Let d = 140 - m. Let u = 0.39 + d. What is u rounded to the nearest integer?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-645617)\/(-16688) + (-35)\/(-112).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3 + 1 = 0. Let f = 408 - 404. Suppose 2 = -z, 1182 = f*c - x*z + 246. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -w**3*y**3 + 7413*w**3*y - 3*w**3 - 3*w*y - 223*w + 74 wrt y.\nAnswer: -3*w**3*y**2 + 7413*w**3 - 3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 - 16*j**2 - j + 1. Determine o(-16).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1407921 is divided by 31?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 22220020000?\nAnswer: -22220012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10 = 3*p, -5*p - 2*t = -5*t - 10. Suppose 0*c - c + a = -41, 0 = p*c + 3*a - 173. Suppose 5*q + c = v, -3*q - 5 - 7 = 0. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -208 + 203. Let u = 1.35 + -0.95. Put l, u, 3, 2 in decreasing order.\nAnswer: 3, 2, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 - -4. Let g = b + 14.2. Let s = 3 - g. What is the nearest to 1 in 5, 0.2, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2 and -357045940740.\nAnswer: -357045940742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-124)\/217*(-2)\/(-4)*-7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes before 10:36 PM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 45\/8 of a tonne?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-3*(sqrt(567) + -2) - (-1*(sqrt(567) + 1)**2 + (-1*sqrt(567)*1)**2 + sqrt(567)))*-2*5.\nAnswer: -360*sqrt(7) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -51, -185, -407, -717, -1115, -1601, -2175?\n\"Answer: -44*m**2 - 2*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 10*i**2 - 16*i + 4. Let g(u) = -u**3 + 8*u**2 + 14*u - 3. Let m(a) = 7*a + 384. Let r be m(-54). Let o(v) = r*x(v) + 7*g(v). Give o(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -156763\/47510 - 2\/4751. Let a be 2*((-2 - -460) + 3). Find the common denominator of q and a\/112 + 2\/16.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32129 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 3)*(-2*o + o + 0*o) + 3 - 2*o - 3)*(2*o - 2*o + o - 4*o + o + 0*o + (-21 - 27*o + 21)*(0 + 1 + 1) + o - 3 + 3)*(0 - 2 + 4).\nAnswer: 330*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 0, 0.02.\nAnswer: -8, -1, 0, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 11 = 2*h, -2*p = -2*h + 2 - 10. Suppose 4 = p*t - 2. Calculate the highest common divisor of t and 22.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35548.\nAnswer: 2, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -32*d - 923. Let g be v(-29). Let w be (-3 - (-4 - -2)) + 5. Let r be 16*(10\/w + -2). Solve -r = 5*o - 2*b, 13 = -o + g*b - 7 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m + 3*m - 4*m)*(3 + m - 3) + (12*m - 9 + 9)*(8*m - 4*m + 0*m).\nAnswer: 50*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 93*o + 5 = -90*o, 2*s + 4*o = -2 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from mmmmmmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 21 - 72 - 18 = -39*i, n - 13 = -40 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 8, 103993, -8 in descending order.\nAnswer: 103993, 8, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*b - 14960 = -139*b for b.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3828, 7657, 11486, 15315?\nAnswer: 19144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31\/66 + 3\/22. Let f = 5.1 + -5.1. What is the closest to q in -3, f, -0.9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -3793*b - 167. List the prime factors of u(-1).\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 12, 0*p + 8 = -2*p + 4*z. Let i(b) = b**2 - 3*b + 2. Calculate i(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -191 - 105 + 452 - u - 156.\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(1584) + 1)*3.\nAnswer: -12 + 36*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4340*g + 4296*g = 88 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 7:48 AM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(5\/8))\/f**(10\/7) assuming f is positive.\nAnswer: f**(-59\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 8 = -16*q for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -67 + 66. Does 2 divide 7 + -10*4\/10*l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**4\/7 + 2382*x**3 - 349512*x**2\/7 + 1996256*x\/7 - 494208 = 0?\nAnswer: 4, 13, 8316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(3)) + (sqrt(21)*2)\/sqrt(7).\nAnswer: 1 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17 and 17136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - -2.6. Let g = z - 3. Suppose -3067*m + 4 = -3066*m, -2*y = -2*m + 2. What is the nearest to g in 2\/7, y, -4\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -8\/12523171?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 303 - 284. Suppose 4*f + y - 22 = 0, 0 = -2*f + 3*y + z - 1. Solve -t + 4*d = -f, -2*t - 4 = -3*t + 3*d for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -41a (base 13) to base 4\nAnswer: -22323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x - 121*x**2 + 115*x**2 + 19 + 4*x**2. Give w(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 1 - l + 4 - 1 + 0. Let p(o) = o + 6. Let t be p(0). Let i(j) = -1. Let s = -5 - -6. Determine s*k(y) + t*i(y).\nAnswer: -y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 234722423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*c = -1938 - 3270. What is the greatest common divisor of 992 and c?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)*w**5\/w)**(-39) assuming w is positive.\nAnswer: w**117","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187 - -60. Let w = r + 133. Solve 3 = w*t - 15 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46789*y**3*z**2 - 4*y**3*z + 1164*y**3 + z**4 wrt z?\nAnswer: -93578*y**3 + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20793*p + 11*p**3 - 18992*p**2 + 18992*p**2.\nAnswer: 11*p**3 - 20793*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 + -1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 36. Solve 0 = -d*v - 4*t + 2, -5*v = -3*t + 10 - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1052 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*i + 568 + 1112. Calculate the greatest common factor of 66 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 151?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 320040537, 640081070, 960121603, 1280162136?\n\"Answer: 320040533*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 45 and 93.\nAnswer: 1395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + -1 - (0 + 4). Let h be 6*o\/(-9)*-3. What is the units digit of 2 + (-2)\/(h\/34)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.132102+1458499\nAnswer: 1458498.867898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31*m**5 + 6*m**5 - 10*m**5 + (23 + 6*m - 23 + 2*m + 4*m - 4*m + (-m + 3 - 3)*(-3 - 2 + 4) + 0*m + 2*m - 3*m)*(-m**4 - m + 2*m**2 + m).\nAnswer: 19*m**5 + 16*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 192, -14295, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 1 = 3*l, 13 = -3*o + 5*l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/((-98)\/(-21)) - -6. Solve 6 = b*s + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + (0 - -1) - (73 - 79). Suppose -4*q = c*q. Let q + 0*v + 22\/13*v**4 - 12\/13*v**3 + 2\/13*v**2 - 12\/13*v**5 = 0. Calculate v.\nAnswer: 0, 1\/3, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 3*l - 6 + 4 = 0, -5*j + 2 = -2*l. What is the first derivative of 6 - 3 + 1 - j*o - 2 wrt o?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29*b**2\/5 - 8408*b\/5 - 116.\nAnswer: (b - 290)*(29*b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5861771352 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 3*q = 40 - 14, -3*q = 4*v - 14. Let s(j) be the first derivative of 1\/10*j**v + 1\/4*j**4 - 1\/2*j + 2 + 0*j**3 - 1\/2*j**2. Factor s(w).\nAnswer: (w - 1)*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 9917 (b) -0.7 (c) -2\/3 (d) 12 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -20*r**2 + 4*r + 19. Let i(s) = 9*s**2 - 2*s - 9. Let g(q) = 3*h(q) + 7*i(q). Let w be g(2). Solve -1\/2 - k - 1\/2*k**w = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1217 + -748. Suppose a = 5*s - 16. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/32 of a millennium?\nAnswer: 1125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, u: 6, f: 4}. Give prob of picking 2 u and 1 f.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -0.3, 0.4, 5\/4, 0.95, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u**3 - u**2 + u. Let n be v(1). Let z be -1 - -1*(3 - n). Suppose z*f - 4 = -f. Is 4 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 4*x - 14, -3*j - 10 = 4*x - 32. What is the third derivative of -62*c**j + 12*c**3 + 13*c**2 + 20*c**3 + 3*c**2 wrt c?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 20, -3*g - 9814 = u - 35486. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6724*w**3 + 32*w**2 - 70*w + 3. Let i(z) = 6727*z**3 - 33*z**2 + 74*z - 3. Let s(p) = -6*i(p) - 7*k(p). Find the third derivative of s(c) wrt c.\nAnswer: 40236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 947783240?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -2*y**3 - 2*y**2 - 3*y + 1. Let i(m) = -m**3 + m**2 - m - 3. Let b be i(0). Calculate the remainder when j(b) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 49167360144873\nAnswer: -49167360144878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.03, -2\/3, 3, -345 in descending order.\nAnswer: 3, 0.03, -2\/3, -10, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 21.94082 tonnes?\nAnswer: 21940.82","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -3 + 5 + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*b = 71*b - 893 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 7 (b) 22 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2992 divided by 4.\nAnswer: 748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 142 and 555.\nAnswer: 78810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in millimeters?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*d - 26 = -0*w, 3*w - 24 = 3*d. Suppose 32 = -10*o + w*o. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4)*39\/(-117))\/((-4)\/680*5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -158 (b) 0 (c) -0.5 (d) -0.1 (e) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (3 - (-10)\/(-2)). Let f(u) = 5*u + 6*u**2 + 4*u**2 - 2 - 16*u**y + 9*u**2. What is the tens digit of f(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.2 (c) 5.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6 + w**2 - 2*w + 0*w + 3*w. Suppose 4*g = g - 3, -4*q + 1 = -g. Does 6 divide m(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 34, 36, 24, -8, -66, -156, -284, -456?\n\"Answer: -s**3 - s**2 + 12*s + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 3*j = 6*p - 12, -j = p - 2. What is the second derivative of 0*c**3 + 7*c**3 + 0*c**3 - p*c**3 - 5*c wrt c?\nAnswer: 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*w - 3*w + 240. Suppose 0 = -w*y + 12 + 20. Solve 0 = -u + y*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6477 is divided by 324?\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -5*s - 21. Let p be g(-6). Let t = 14 - p. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3, 0.5, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve k = -3*l - 15, -5*l = -2*k + 34 - 9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*n - 4*u - 200 = 86*n, 0 = 3*n + 4*u + 152 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1630*v**4 + v**3 - 4*v - 492849.\nAnswer: -6520*v**3 + 3*v**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2 - 283*h - 768. Give z(-3).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 11 = 5*z + 3*q, 0 = -z + q + 7. Suppose 2*t + 3*v - 161 = -2*t, -112 = -3*t - z*v. Suppose 5*r = t + 36. Solve 3*x + x = -r for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6259 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21022 - 30013?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/14 + 2\/14?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, a: 6, f: 2, g: 2}. Give prob of picking 1 a, 1 f, and 1 b.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 147534, 295101, 442700, 590331, 737994, 885689, 1033416?\n\"Answer: 16*c**2 + 147519*c - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 2*l + 2*l)*(-4*l + 2*l + l) + 0 - 4*l**2 + 0 + 549*l**2 - 761*l**2 - 988*l**2.\nAnswer: -1206*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are -368197 and 7 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**2 + 2403268*m + 2403266 = 0. What is m?\nAnswer: -1201633, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1650374100 to the nearest 1000000.\nAnswer: 1650000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 11b (base 13) to base 15\nAnswer: cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1445 and 4505?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, 38068\/51, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1748 and 63848.\nAnswer: 1213112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -513, 2, -3 in decreasing order.\nAnswer: 2, -3, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjhhjhwwwwytyhywhh. Give prob of picking 1 j and 1 w.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (1 - -33) + -7 + 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**3 + 384*h**2 - 5037*h - 5424 = 0. What is h?\nAnswer: -1, 16, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1915052 = -146*j + 423357 - 24893. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 6563.986g?\nAnswer: 0.006563986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3\/2 - 225*u**2 - 6816*u - 53504 = 0.\nAnswer: -418, -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -62 - 2*c + 39 + 31 - 3. Let n(m) = -m**2 - 1. Determine k(s) + 6*n(s).\nAnswer: -6*s**2 - 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + -3 + (-4)\/(-12)*-3. Factor 6\/5*y + 2\/5*y**3 + 2\/5 + 6\/5*y**u.\nAnswer: 2*(y + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*v**2 - 71*v**2 - v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - h + 0 + (-7 - 52 - 6)*(-3*h + h + 3*h) + 2*h - 4*h + h + (3 + 7*h - 3)*(10 + 10 - 6))*(-h - 4*h - 2*h) in the form r + n*h + o*h**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 15*t + 17 = 20*t, -4*g + 1 = -3*t for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 184*h + 2*h**2 + 1 - 161*h + 0 + h**4 as j*h**4 + p + u*h + i*h**3 + c*h**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.12 and -0.003?\nAnswer: 0.00036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 174*p - 175*p + 0 + 2 + 3*p**3 - 2*p**2 to the form f*p**2 + t*p + o + x*p**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 47441371433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 5*k - k. Let c = 25 + k. Is (-72)\/(-15)*c\/3 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1799 times 4\nAnswer: 7196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -51, -444, -1519, -3618, -7083, -12256, -19479?\n\"Answer: -57*r**3 + r**2 + 3*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5, h: 3}. What is prob of sequence hww?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73714021 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 1610*x**2 + 6592*x + 97080.\nAnswer: -2*(x - 10)*(x + 6)*(x + 809)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 477 and 2067?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -5, 0, 15, 46, 99, 180, 295?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1034*z - 1038*z + 2*r - 154 = 0, 0 = 3*z + 4*r - 0*r + 143 for z.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -117*w**5\/5 - 106*w**3 + 619*w. Find the second derivative of y(i) wrt i.\nAnswer: -2808*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/5)\/(84*16\/480) + 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - -959.9.\nAnswer: 965.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 3*i + 61. Give u(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 + 36. Let j = x + 19. Let t(u) = u**2 - 12*u - 11. Is t(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1)**(-1\/58)\/(((q**(3\/7)*q)\/q)\/q**(-2\/9)) assuming q is positive.\nAnswer: q**(-2441\/3654)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**2 - 5*s**2 - 7*s**2 + (-4*s**2 + 6*s**2 - s**2)*(0 + 3 - 2))*(4*s**3 - 4*s**3 + 2*s**3).\nAnswer: -20*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71400*l*n*y**2 - 7211*l - 835*n*y - 2*n - 680*y**2 wrt y?\nAnswer: -142800*l*n - 1360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 805893550 to the power of 1\/3, to the nearest integer?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -7. Suppose 5*x = -z - 16, -4*z - 5*x = -8*z + 11. Let j = 0.161 - -0.049. Which is the nearest to z? (a) o (b) j (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 6*t - 2. Give d(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0083573694 to 6 decimal places.\nAnswer: -0.008357","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1329380 divided by 65\nAnswer: 20452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -148 + 381. Let q = -11\/8802 - -22542043\/96822. Let j = d - q. What is the nearest to -1 in -5, 1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 356743900?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + 12354?\nAnswer: 12358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*m**2*y**3 - 8*m**2*y**2 - 2*m*y**3 + 56*m*y wrt m?\nAnswer: -30*y**3 - 16*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 244*b**2 + 12*b + 682. Let f(x) = -22*x**2 - x - 62. Let k(u) = 68*f(u) + 6*t(u). Find the first derivative of k(d) wrt d.\nAnswer: -64*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5433000 rounded to the nearest 100000?\nAnswer: -5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75328 - 47791. List the prime factors of r.\nAnswer: 3, 67, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 times -2.629\nAnswer: -36.806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -74320 (base 10) in base 7?\nAnswer: -426451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 0*o**5 + 7 + 0*o**2 + 0*o**6 + 0*o + 5\/7*o**7 + 0*o**4 - 3*o**3. What is the third derivative of d(f) wrt f?\nAnswer: 600*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of -z**4\/3 - z. Let j(i) = -i + 2. Let n be j(0). Let g(x) = -5*x**2 + 6*x**2 - x**n - x**2. Give g(s(f)).\nAnswer: -16*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -1\/240*f**5 + 2*f**3 + 0 + f + 47\/96*f**4 + 10*f**2. Factor a(r).\nAnswer: -(r - 48)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 403 divide 35707815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28112 and 65130233.\nAnswer: 1757","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 23 = -4*u, -4 = 3*u - 2*u. Suppose 3*q - 3*x - 11 = 2*q, -15 = -q - x. Calculate the remainder when 346\/10 + q\/35 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u - 960 = -53*u. Calculate the remainder when u is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -3*f**2. Let j(r) be the second derivative of 0*r**3 - 27 + r + 35\/12*r**4 + 0*r**2. Give j(i(m)).\nAnswer: 315*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**8\/6720 + x**7\/504 - x**6\/120 + x**5\/120 + 65*x**4\/12 + 57*x. Let h(g) be the third derivative of q(g). Calculate h(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 20*h**3 + 17*h**2 - 83*h + 4. Does 27 divide j(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -319 - -321. Suppose -y*u = u - 21. Calculate the remainder when 151 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*h**4 + 672*h**3 + h + 24294?\nAnswer: 8*h**3 + 2016*h**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hssbs. What is prob of sequence shs?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -146*l**2 + 3*l + 73*l**2 + 76*l**2.\nAnswer: 3*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, o: 2, q: 4, r: 8}. What is prob of picking 1 r and 1 o?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 90749394953 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 23280, 23283, 23276, 23253, 23208, 23135, 23028?\n\"Answer: -o**3 + o**2 + 7*o + 23273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**2 + t. Suppose 0 = 3*u + 3*p + 30, -2*u + 2 + 6 = -5*p. Let l be (4\/u)\/((-12)\/18). Let f(n) = 2*n**3 - 2*n**2 + 3*n. Determine l*f(v) - 3*g(v).\nAnswer: 2*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 7:00 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 4*a + 7. Let h be q(6). Let j be (-2 + 105\/54)\/(187\/(-68) + 3). What is the biggest value in j, 3, h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmk when three letters picked without replacement from kkmnmmmemnnmmnnnn?\nAnswer: 49\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 4*c**2 - 2*c + 8. Let k be l(4). Let b(o) = -2*o + 4. Let m be b(k). Solve -10 - 10 = -m*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(56)\/sqrt(8) + -1)**2 + (4*(2 + sqrt(7)))**2*-4.\nAnswer: -696 - 258*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4*-2 + 1. Suppose q + 8 = d, 5*d + s*d = 3*q + 34. Suppose -316*r = 23*r - 335 - 4. What is the lowest common multiple of d and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 take away -739.877?\nAnswer: 739.917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -49931 times -23\nAnswer: 1148413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 70.82105nm?\nAnswer: 0.000007082105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 2:30 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g - 3*x - 14, 3*g - 5*x = 20 + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -3, 3, -2, 0, 291 in descending order.\nAnswer: 291, 3, 0, -2, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/31471233 and 62\/33.\nAnswer: 346183563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes before 7:25 PM?\nAnswer: 6:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -1. Let t = -56 + 52. Let j(m) = -m + 5 - 2*m + m. Let y be ((-2)\/(-3))\/((-32)\/48). Calculate t*f(p) + y*j(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -7*h**2 - 2*h + 11. Let r(x) = -3*x**2 - x + 6. What is -11*r(a) + 6*t(a)?\nAnswer: -9*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 14, a: 5, h: 1}. What is prob of picking 3 a?\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -230, -457, -846, -1451?\nAnswer: -2326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1240159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2567 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1818*c - 3. Let a(p) = -3620*p + 6. Give 4*a(z) + 9*y(z).\nAnswer: 1882*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 170868 a multiple of 491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1573 + 1570. Let z = 2 + -1.7. Let l = -0.5 + 5.5. What is the biggest value in l, h, z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 PM and 10:13 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/9*(-4)\/(-16). Which is the nearest to -2? (a) 0.4 (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**2 + 8*w + 22. Let v be u(-4). Solve -v*g = -g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8179 + -8235. Which is smaller: -511\/9 or b?\nAnswer: -511\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -55299*t + 42635529. What is y(771)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -48*c**2 + 371*c - 235. Calculate w(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14455 or 14453?\nAnswer: 14455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c*(c**(-1\/9)\/c)\/c)*c*c**(4\/7)*c assuming c is positive.\nAnswer: c**(358\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 496 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -49100?\nAnswer: -9820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -151*o - 115*o - 909 - 2017 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -65, -92, -117, -140, -161, -180?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*u - 274 - 53*u + 42*u + 45*u + 90.\nAnswer: 2*u - 184","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.08+-6354\nAnswer: -6354.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3 + 19 = l, 4*m + 3*l - 22 = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n = -133575233 - 179504767. What is n rounded to the nearest one million?\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1458112?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -52 - -67. Suppose i - 5 = -4. List the prime factors of (j - 1) + i - 3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0026 + 1.0026. Suppose 4*v + c = 4*c - 24, -2*c - 1 = 3*v. What is the nearest to k in v, -2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k + 18*k**2 + k**2 + 2*k + 74*k**2.\nAnswer: 93*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312 is divided by 36.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q**2 + 16*q**2 + 9*q**2)*(6*q**3 - 25*q**3 - 18*q**3).\nAnswer: -740*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1510488232 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l + 2*l**3 + 5*l - l**3 + 31. Let a(c) = 8*c + 244. Let d be a(-26). Suppose -d*i + 34*i = 0. Determine q(i).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 19899 by 24.\nAnswer: 6633\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -32 - 15 - (8 + 26)) + -3 + 4?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 5)\/3 + -192. Let i be (y\/(-80))\/(2\/(-5)). What is the closest to 2 in -1\/4, i, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20\/21 + 46\/63. Let f = 1.8 + -2. Let t = 427\/15 - 134\/5. What is the closest to p in -0.5, f, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4\/25 - 57\/200. Which is the nearest to -0.1? (a) -0.5 (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h = 3*b - 30786, 0 = -4*b - 4*h + 41052. Suppose -9*t + 19*t - b = 0. What is the thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes after 6:31 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/16589 - 14847151\/33178. Let z = k - -7095\/16. What is the common denominator of z and 137\/36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1318)\/(-28) - (12 - (-3340)\/(-280))) + -64 + 61.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) 1\/2 (b) -2 (c) 3 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 9, 1, -11 in decreasing order.\nAnswer: 9, 1, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7541 (base 9) in base 4?\nAnswer: -1112221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 26194*h + 329. Is k(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4082\/261 - -460\/29. Factor l*d**2 + 0*d - 8\/9*d**3 + 0.\nAnswer: -2*d**2*(4*d - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/(828\/81 - 10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 153 + -1987\/13. Put -0.1, 2\/7, -3\/5, g in increasing order.\nAnswer: -3\/5, -0.1, g, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.2*-1.288\nAnswer: 9.2736","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhn when four letters picked without replacement from {h: 3, n: 7, l: 8}.\nAnswer: 7\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 442791 <= 440773?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k + 1. Let h be b(7). Suppose 3*f - 5*p + 40 = h*f, -2*p = -2*f. Suppose f*g = -2 + 34. What is the lowest common multiple of g and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0758 + -358041.\nAnswer: -358041.0758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 421624127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 8556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 632270826 to the power of 1\/3, to the nearest integer?\nAnswer: 858","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -70 (base 10) to base 13\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 16 - 4 = 0. Suppose -5*c + 1983 = 3*w, -3*c + 383 = -j*c + 4*w. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -1\/2*m**3 + 0 + 1\/12*m**4 + 0*m + 3*m**2 - 1\/60*m**5. What is i(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 r when two letters picked without replacement from {f: 1, r: 5, c: 1, u: 7}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0006689984 rounded to seven decimal places?\nAnswer: 0.000669","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttqq when four letters picked without replacement from hqtqqttttqhhttqqqh?\nAnswer: 49\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-330 + 188*w + 330)*(4 + 2 - 2)*(0*w + 2*w + w).\nAnswer: 2256*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -8 - 992\/3*d**3 + 5*d**5 - 605\/3*d**4 - 4*d - 200*d**2. Find h such that y(h) = 0.\nAnswer: -2\/5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (67 + -71) - -26\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.20088t to micrograms.\nAnswer: 6200880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.045511389 - -100?\nAnswer: 99.954488611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 15*w**2 - 406*w + 27. Let a be o(27). Solve a = 144*r - 130*r - 84 for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -129, 1890, 426 in decreasing order.\nAnswer: 1890, 426, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(396) + 2 + -4)**2 + -3.\nAnswer: -1203 + 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 57259 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 5*b + 4*b - 5 = 0, 10 = 2*v - 4*b for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 16\/1155 and -47\/1155?\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 2*g + 4*p = -24, -g - 3*p = -12. Calculate the remainder when 34 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 5*t**2 - 5*t - 4. Let n be s(6). Let k be 112\/(-18) - (-18)\/81. Let x = n - k. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(1\/39)*w*w)*w)\/(w\/w**(-6\/11)) assuming w is positive.\nAnswer: w**(-674\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(23 - (-315)\/(-14)). Solve -u*i = 2*m + 18, 5*i + 4*m = 8*m for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -12, 36, -1203 in increasing order.\nAnswer: -1203, -12, -5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651838 is divided by 105.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104640 is divided by 165.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 0*h = 6. Let m be 1\/(-4) - (-93)\/(-12). Let j(q) = q**3 + 7*q**2 - 12*q - 12. Let c be j(m). Solve c = -h*n - 3*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1212863, -1212838, -1212815, -1212794, -1212775, -1212758?\n\"Answer: -j**2 + 28*j - 1212890","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0798 and 319?\nAnswer: -25.4562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a gram?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 168 a factor of 53862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 13\/5 of a tonne?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 0*u. Suppose -2*t + u*h - 12 = -2*h, -2*t = 2*h. Put -5, 1, t in descending order.\nAnswer: 1, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396705048?\nAnswer: 2, 3, 16529377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 21 = 14. Let w = -5 - -20. Let k = w + z. Is k a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -322a + 116a?\nAnswer: -2070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -60165, -120357, -180545, -240729, -300909, -361085?\nAnswer: -421257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 13*x - 9*x. Let w(u) = -u**2 + 7*u + 1. Determine w(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 203084*b**2 - 407835*b**2 + 203153*b**2 - 2*b in the form l*b**2 + j*b + v and give l.\nAnswer: -1598","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 + -5. Suppose -z*p = -5*p + 136. Calculate the highest common divisor of p and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anknok. What is prob of sequence nok?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5210880617 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 39483, -53.\nAnswer: -53, -17, 39483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*z**4 + 8\/13 - 8\/13*z + 4\/13*z**3 - 6\/13*z**2.\nAnswer: 2*(z - 1)**2*(z + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/4 + 67217*m**2 - 672191*m + 1075512.\nAnswer: (m - 8)*(m - 2)*(m + 268878)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 2*b**3 - b**2\/2 - b - 2. What are the prime factors of p(2)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7386 (base 13) to base 16.\nAnswer: -3e7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*d = -8*d + 6, 4*o + 42 = -5*d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9902352689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5826f (base 16) in base 9?\nAnswer: 610260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11012201130 (base 4) to base 6\nAnswer: 44355500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 4*r**2 + 18*r + 17. Let s be n(-1). Solve -f - i = -1, -s*f - 5*i = -2 - 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**6*g)\/g**(1\/4)*(g\/(g\/(g\/(g**0\/g*g)))*g)\/(g*g**(-1\/2))*(g\/((g*g\/g**(-8))\/g)*g\/(g*g**(-7)))**50 assuming g is positive.\nAnswer: g**(-207\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c = -c + 847. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10215 - -163443\/16. What is the fourth biggest value in 0, -0.02, l, -3, 1\/6?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 145\/2*r**4 + 675*r**3 - 2500*r + 5\/2*r**5 + 1750*r**2.\nAnswer: 5*r*(r - 1)*(r + 10)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**2 - q. Let x be z(-1). Suppose -28*d = -33*d - 10. Let l be d\/x - 1 - -23. What is the greatest common divisor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 19040 and 38260880.\nAnswer: 76521760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 17, 0, -33, -82, -147, -228?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1380, 1352, 1268, 1098, 812, 380, -228?\nAnswer: -1042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/9)\/4)\/((-52)\/(-24)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47*h*u**2 + 9*h*u + 75279331*h - 29086*u**2 with respect to u.\nAnswer: 94*h*u + 9*h - 58172*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + 9*z**2 + 15*z + 3. Let n be h(-6). Solve 19*v - n*v = -10 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + 4*n - 16, 54 - 66 = 3*y - 3*n. Solve y = 23*s + 60*s - 249 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 98.31 + -66.31. What is the second biggest value in -0.5, 1\/4, 0.3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -5*s**3\/3 - 7*s**2 - 4*s. What is the derivative of j(p) wrt p?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 4:26 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 20 = -h, 3*g - 24*h = -22*h + 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/3*(-26)\/(-260)*-10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661293427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -62111, -1\/121, 4?\nAnswer: -1\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 3:07 PM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*v - 252098 - 123378. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 9, c: 3}. Give prob of sequence zzc.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -120 + 107 - (0 + -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 443329576.\nAnswer: 443329572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*o + 3*o. Let d(b) = 176 + 181 + b**3 + 4*b**2 - 358 + b. Let z be d(-4). Sort z, o, 1, 7.\nAnswer: z, 1, o, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1853 + 2028. Is -5 at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -27*k**2 + 56 + 28*k**2 + 145 - 32 - 3*k**3 + k**3 to d*k + c*k**3 + g + v*k**2 and give g.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(2\/7)*x)\/x)**(-4\/25)*x**(-5\/4)*x\/(x*x\/(x*x**(-1\/7)\/x)))**(10\/13) assuming x is positive.\nAnswer: x**(-1707\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 12) to base 13.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -g - 11, -72*g = -u - 73*g + 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3*u**2 + u**2 + 11 + 0*u**2 + 3 - 4*u**2. Let l(d) = 5*d**2 - 12. Let a(f) = -6*h(f) - 7*l(f). Let r(g) = -59*g - 1. Calculate a(r(c)).\nAnswer: 3481*c**2 + 118*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -1\/4 (c) 2\/3 (d) 4 (e) -1\/11 (f) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 126376\/2471 + -2\/2471. Let w = 4961\/84 - y. What is the common denominator of 25\/6 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -220 + -4. Let q = 233 + b. Let d = -144 + 243. What is the highest common factor of q and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Let s be 7459984\/6 - 2\/y. Suppose -2*d = -s - 1156670. What is d rounded to the nearest one million?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -12) + (-1 + 3 + 4 - 5)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4279400 to the nearest ten thousand.\nAnswer: 4280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -60963\/162632 + -3\/20329. Which is the nearest to -41.9? (a) -2 (b) s (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1190700 by 297675.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2 - 1)\/((-36)\/60)*1. Suppose c*f - 15 = 2*f. Solve -3*j = -o - f, -j - o = -4*o + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 0 + -5)*-1 + 1 + 4 + 3 + sqrt(2)*2*-4)**2.\nAnswer: -234*sqrt(2) + 331","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (2\/6)\/((-9)\/135) - -3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337051251 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29887 and 255151.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 3*w - 2*u + 10, -10 = -w - 2*u. What is the biggest value in w, 1\/4, -0.4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*2 - 10\/(-1 - -6). Let s be (-36)\/6454*52 + 2\/7. Is z != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -56 (b) 1.07 (c) 0.3 (d) 0.044 (e) -4\/3 (f) 4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -87, -67, 3, 2, -5 in increasing order.\nAnswer: -87, -67, -5, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {v: 2, w: 5, d: 5, j: 3}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -19. What is the second smallest value in -3, 2\/13, g?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*g + 3*g - g)*(-2*g + 5*g - g) + 31*g**2 + 18*g**2 - 9*g**2)*(3*g**3 - 1 + 1).\nAnswer: 108*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -4578, -18371, -41366, -73569, -114986, -165623?\n\"Answer: -c**3 - 4595*c**2 - c + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 5 = 3*w + 2*k, -2 = k. Let q = -13 + w. Let t(c) = -c**3 - 11*c**2 - 13*c - 11. Let o be t(q). Solve -i = 4*n + o, 0*i + 4*n + 22 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes after 6:54 PM?\nAnswer: 8:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 6:32 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 167061 and 717.\nAnswer: 717","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1504 - -2917. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1716010, 3431774, 5147538, 6863302, 8579066?\nAnswer: 10294830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 3*i - 1159 = -i, 2*n = -2*i + 464. Calculate the greatest common factor of 33 and n.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 3*b = -b - 5, -115*b - 113*b = -233*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 342 and 165186?\nAnswer: 165186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357 = -b - 2*o + 877, -5*b + 2610 = 5*o. Calculate the remainder when b is divided by 75.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147334562 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 136.7 - 158. Let t = 21 + y. Which is the third biggest value? (a) 1\/5 (b) 3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, x: 1, a: 1, k: 2, o: 1, l: 1}. What is prob of sequence aox?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2015577632 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of r**6\/40 - r**4\/12 + r**2\/2 - 2. Let n(v) be the second derivative of g(v). Find the second derivative of n(d) wrt d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20825828449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1221, -178, -4, 1, -2, -5 in decreasing order.\nAnswer: 1, -1, -2, -4, -5, -178, -1221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.92 rounded to 0 decimal places?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x**3 + 3*x**2 + 4*x**2 - 3*x**3 - 3 + x. Let o be n(7). Let d be ((-57)\/(-6))\/((-2)\/o). Round d to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5273?\nAnswer: 5273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3774 - 28644*o - 3774 + 1878*o to the form d + w*o and give w.\nAnswer: -26766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -479320, -958634, -1437948, -1917262?\n\"Answer: -479314*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1803202 by -12.\nAnswer: 901601\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 9, 68, -121, -4.\nAnswer: -121, -4, -2, 4, 9, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/11 and 52\/11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 10:43 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 96 = 7*l. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfkf when four letters picked without replacement from ffkkfkffff.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 74763 and 4?\nAnswer: 74759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12534 and 198?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4368 and 18960?\nAnswer: 1725360","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 611 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 584531*n**5 - 69*n**2 - 2*n - 462.\nAnswer: 35071860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 5\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + v. Let o = -11121\/7 - -1589. Factor -o*s**2 + 8\/7 + v*s.\nAnswer: -2*(s - 2)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 23 = 5*x, 4*u + 18 = -2*x - 0*u. Let l be (0 - x)*(-6)\/15. Is (-1 - (l + 1)) + 29 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2117220 is divided by 302460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2330\/11 + 212. Let l = 1 + 0. Which is the nearest to 1? (a) x (b) l (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16585*-72.\nAnswer: 1194120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 26, -79.9, -37, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l**2 - 5*l. Let s be 25\/(-75) - 28\/6. Let m(d) = -6*d**2 + 6*d. Calculate s*m(c) - 6*g(c).\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 5:06 AM?\nAnswer: 3:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 50511*b**2 - 302985*b - 454437.\nAnswer: -3*(b + 3)**2*(b + 16831)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-803 + 137 - 533)*(0*d + 0*d + 2*d + (2 + 3 - 3)*(-2 + d + 2)) to the form m*d + v and give m.\nAnswer: -4796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*v - 114*v = -3*a - 16, 3*v + 4*a = -3 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164*b - 159*b - 20 = 0. Suppose 17*k = b*k - 182. Is k < -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3 - 569*c**2\/2 - 4093*c\/2 + 5215 = 0.\nAnswer: -35\/4, 2, 149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 + 3. Determine h(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27519 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 54 = -2*n. What is the remainder when 78 is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 367 + -328. Calculate the greatest common divisor of 182 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 6 - 2 = m, -m = 3*k + 2. Suppose -m*a + 76 = -3*a. Calculate the remainder when a\/(-2*4\/(-16)) is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 800475?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 12:16 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3392712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 973*w + 76 = 992*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 4:12 AM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millimeter in micrometers?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.8 + 3. Let k = -0.1 - 0.1. Let h = k + 1.2. What is the nearest to t in h, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*d - 16*d + 6 = 0. Suppose d*f - 4 = 6. List the prime factors of -2*-542*f\/20.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 109, 212, 315, 418?\n\"Answer: 103*a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a day in minutes?\nAnswer: 864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*d**3 + 16*d**3 - d**3)*(-28*d - 398 + 398) as h*d**4 + v*d + b*d**2 + m*d**3 + y and give h.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -23*b - 2. Suppose -5*q = 0, -8*q - 18 = 3*l - 3*q. Let g be m(l). Suppose -g = -5*y + 19. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-6)*78\/(-3)*1. Let c = -152 + 157. Solve -2*o - k = -c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 11:55 AM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(2\/(3 + -7)). Let c be (-22)\/s - (-13)\/39. Suppose 0 = -u - 3, 0*l + 4*l = 5*u - 1. Put -1, c, l in decreasing order.\nAnswer: c, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1134*h**3*k**3 - 4*h**2 + 4*k**3 - 151*k**2 wrt h?\nAnswer: -6804*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2407448931?\nAnswer: 3, 17, 47204881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 18 = -2. Let i(u) = 274*u**3 - 7*u**2 + 3*u + 3. What is the units digit of i(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20 + -25 - (2 + -9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g + 85 = -644. What is the greatest common divisor of 891 and g?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013554722 rounded to four dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 AM and 2:42 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gugtgugxccchucttg. What is prob of picking 1 h, 1 x, and 2 t?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**2 - 320*z + 3840 = 0.\nAnswer: 16, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30852 - 30846. Let z = -10 + 17. Let w(l) = l**3 - 7*l**2 + 2*l - 8. Let p be w(z). Solve -r*u = -3*u - 6, 3*u + p = -4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.58, -1, -0.3, -0.1, 18, 1\/5.\nAnswer: -1, -0.3, -0.1, 1\/5, 0.58, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - f - 1. Let w be 16\/4 + -3 - 3. Let k(h) = 6*h**2 + 5*h + 5. Calculate w*k(n) - 10*q(n).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/1812 and 1\/576.\nAnswer: 86976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 13*g + 9 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24.281134 - -24.28. What is a rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268 at most as big as 596?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from uulqiilq.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*(8\/(-8))\/((-2)\/(-1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 153*i - 3. Let m(q) = 76*q - 2. Let n(y) = -3*d(y) + 5*m(y). Let z be n(-1). What is the greatest common factor of 52 and z?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 453113 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28966 is divided by 352.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 + 32. Let b = s - -2705. What is b rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 7*q**2 - 11*q + 4. Determine i(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1039685*s - 12. Let u be p(-7). Let q = u - 858783741\/118. Let j = q + -70\/59. What is the common denominator of -1\/20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 501?\nAnswer: 3507","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -33?\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 20. Suppose 39*u = 41*u - 10. Solve a = u*a - v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/88 and -85\/198?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5 - 14*m**4 + 61*m**3 + 170*m**2 = 0. What is m?\nAnswer: -17, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/2 - 0)\/(28\/14). Let a = 4 - 4. Let d = -0.1 - a. What is the second biggest value in m, -3\/4, d?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*l**3*r**3 + 5*l**2*r**3 + 3*l**2*r**2 - 8*l*r**3 - l wrt l?\nAnswer: -18*l*r**3 + 10*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve d + 7*t - 9*t - 3*t = 13, -7*d = 16*t + 62 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17469641053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 686992 is divided by 311.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -53?\nAnswer: -5.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -54.5 + -2.039238\nAnswer: -56.539238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3312 and 216.\nAnswer: 9936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/3 + (0 - -2). Let x be (3\/6)\/(p\/116). Suppose 4*z + 4*i - x = -z, -5*i = -z. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*v - 69*v + 44 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/648 and 25\/4.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -7*h. Let q(j) = 7*j**2 - 6*j + 2. Let w(k) = -8*k**2 + 9*k - 3. Let i(u) = 3*q(u) + 2*w(u). What is r(i(f))?\nAnswer: -35*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 51*o - 47*o - 188 = 0, -2*z + 3*o + 409 = 0. Is z a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2619 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -258*a - 379590 = -365916 for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1 + 3*v + v**2 - v + 0*v**2 - 2*v**2. Give b(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18534368 is divided by 158.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 1\/6*f**3 - 3\/2*f**2 - 2*f + 0. Differentiate k(y) with respect to y.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15931 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -4*l - l. Suppose 4*f - 55 = -5*q + l, -f - 8 = -q. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -323.0525 * -2.\nAnswer: 646.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42.603 - 0.11.\nAnswer: -42.713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57, 17, -23, -63?\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 954 and 41783928?\nAnswer: 125351784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 43*a**2 + 1095*a - 151. What is the lowest common multiple of -3*6\/(-9)*20 and o(-61)?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2. Let v(j) = -4*j + 3*j + j - 2*j. Give v(k(m)).\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 8 = 2*o + 2, o = -4*p + 9 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31575 (base 13) to base 7.\nAnswer: -516645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, -1, -5 in ascending order.\nAnswer: -7, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum -160 and -2031.\nAnswer: -2191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9955*r**2 + 1. Let g(j) = 10*j**2. Calculate k(g(z)).\nAnswer: 995500*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 17*r + 4 - 20*r)*(9*r**2 + 4*r**2 + 6*r**2).\nAnswer: -57*r**3 + 171*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -4 (c) -0.5 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64 - -78 - ((-2 - (-10 - -2)) + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3*w**2 + 3*w - 3. Let x be f(2). Suppose 779 = 2*p - x. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ncyyyylxynnxxca. What is prob of sequence ay?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -83. Which is bigger: n or -45?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/10)\/(53\/(265\/(-2))). What is the closest to 0.1 in 0.08, k, 1\/10, -4\/9?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -74.\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 3:37 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18726815 a multiple of 1196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.03 - -5.97. Sort -4, x, 2\/5, 1 in ascending order.\nAnswer: -4, 2\/5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39 + -13. Let g = -17 + w. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17.1 - -20.1. Which is the second smallest value? (a) 1\/23 (b) -3\/8 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1055 = 4*a - 4*g - 685, 0 = a - 5*g - 415. What is the highest common divisor of a and 352?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15343*m**4 - m - 8*m**2 - 3*m**3 - 15342*m**4 - 1 - m in the form v*m + z*m**2 + o*m**4 + n + g*m**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4827201953 to the power of 1\/3, to the nearest integer?\nAnswer: 1690","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1045142074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 - i**2 + 9*i**2)*(348*i**3 + 979*i**3 - 2*i**3).\nAnswer: 5300*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 36, 0, 5, -0.3, 2\/11, 0.099?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**2 - 44*j**2 + 23*j**2 + 9*j**2.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 1981 divide 55598746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4085928 nanometers in centimeters?\nAnswer: 0.00000004085928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -4*d. Let q(f) = f. Let m(j) = 3*q(j) + z(j). Let t(r) = -20*r. Give m(t(p)).\nAnswer: 20*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 713, 19 in decreasing order.\nAnswer: 713, 19, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1000303 - 141101?\nAnswer: -1141404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 32415 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 441464 != 441465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 - 2*b + 69. Let t be h(-9). Suppose -4*k - 2*q - t = 2, -k + 5*q + 20 = 0. Solve 2*a - 10 = -2*l, 4*a - 13 = -k*a + 3*l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 3498?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.83 + 1.83. Which is the smallest value? (a) 2 (b) k (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -972.8 and 0.4.\nAnswer: -389.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**6\/120 - r**5\/20 - r**4\/8 + r**3\/6 + 3*r. Let j(h) be the second derivative of o(h). Factor j(b).\nAnswer: -3*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 5:40 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3 + 20846*n**2 = 0. What is n?\nAnswer: -10423, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 29059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 464\/290*30\/(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -3*s**2 - 127*s - 6. Let h(a) = -7*a**2 - 253*a - 13. Give -9*d(v) + 4*h(v).\nAnswer: -v**2 + 131*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + 26 - 330*i + 117*i + 105*i + 110*i.\nAnswer: 2*i + 39","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*w + 5. Calculate the least common multiple of -6*1*(-10)\/15 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7744933 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 70697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 3*i - 1 = -6, -5*w - 4*i - 6 = 0. Let x(r) be the first derivative of -r**4\/4 + r**3\/3 - r**2 - 3*r - 1. Is x(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 5 = 0, -2*f + 1 - 5 = -2*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a millennium in months?\nAnswer: 16500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7c22 (base 13) to base 2\nAnswer: -100010000011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11005 + -10994 - (1 + 0 + -49)\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((sqrt(117) - (-1*(sqrt(117) - 1*sqrt(117) - sqrt(117)) - sqrt(117)))\/sqrt(9)*-2*-1)**2*2*-1)*-1.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express l + 0*l**3 + 2 + 2*l**3 - 112*l**2 + 100*l**2 in the form p*l**3 + h*l + f*l**2 + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1043 + 45*t - 39*t - 4*t)*(2 + 1 - 2).\nAnswer: 2*t + 1043","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27231 is divided by 26771.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20364 is divided by 4070?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-136)\/3060 - (-170)\/4500) + 2\/12.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/3*(10 + -757) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 6:09 PM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 56, 104, 142, 164, 164?\n\"Answer: -a**3 + a**2 + 52*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 33 - 28 - (0 - -13) - 34?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 12*p + 15. Let a be r(-13). Suppose 136 = 4*z - a. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 2*r - 15 = 0, -5 = -n - 0*r + r. Let o be (1\/n)\/(18\/20). Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 224.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-28)\/2 - (-448)\/28 and 672?\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 6:37 AM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 4) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 5:15 AM?\nAnswer: 3:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + -6. Let k be u\/(-35)*(-12)\/10. Is k less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 3:55 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19010 or -19013?\nAnswer: -19010","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17080933, 17080925, 17080917, 17080909, 17080901, 17080893?\nAnswer: 17080885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/12*1 + -1 + (-20)\/12?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8000\/25)\/16)\/((-36)\/(-198))?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*y = 5*c - 24, -2*c - 6 = -4*y. Suppose 3*v - 6 = c. Let b(z) = z**3 - 2*z**2 - 4*z + 3. Give b(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64 + 11045690.\nAnswer: 11045754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0.07 (c) 4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 plus 7519442467?\nAnswer: 7519442425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -481*k**5 + k**3 - 7102*k**2 - 11318*k + 8370?\nAnswer: -9620*k**3 + 6*k - 14204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64234\/327 - 120\/109. Let f = v - 196. Are 0 and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 72348 = -5*f. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of 3*d**3\/2 - 21*d. Determine q(2).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.102 - -0.668. Let u = f - 0.769601. Round u to five dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 + 0.6. Let f = z - 8. Let d be (-1)\/(-8)*2*-1. What is the closest to 0 in -1\/2, f, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3\/2 (b) 1 (c) -0.4 (d) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 254?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m + 143. Calculate q(22).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 10, n: 10}. What is prob of picking 1 n and 1 s?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5211\/405 + 2\/15 - 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 1 (c) 43943 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - x + 1. Suppose 14 = 7*l - 14. Let g(b) = 14*b**2 - b - 9. Let p(i) = l*r(i) + g(i). Factor p(y).\nAnswer: 5*(y - 1)*(2*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 18*a - 5. Suppose -3*d - o = 2, -3*o = 2*d - 2 + 1. What is the remainder when z(4) is divided by 3\/(3\/d) - -24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*a + 910, 5*c = 4*a - 733 - 1042. Is 45 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((234\/(-7))\/(-39))\/((2\/2)\/7).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 - j**2 + j + 3. Let y be n(0). Let u(z) = -8*z + y*z + z. What is u(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1\/756, 4, -4, -0.04?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2*k**2. Let f(t) = -52*t + 41*t + 25*t. Determine f(l(x)).\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 171 + -104?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**2*t**3 + 13*d**2*t + 1184*t**3 - 5*t + 2 wrt t.\nAnswer: 6*d**2*t + 7104*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 o when three letters picked without replacement from {o: 4, t: 3, k: 2, z: 2, j: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hoohooooooh. What is prob of picking 2 o?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 13186?\nAnswer: 52744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 35\/4 + 4223\/(-164) + 26\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 9221.1 times -0.172\nAnswer: -1586.0292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*w = -65*w + 4. Let c(f) = 3*f - 3. Let i(q) = q**2 - q + 1. Calculate w*c(d) - 6*i(d).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 67 = -f. Let b be -2 + (-80)\/f + 5064\/54. Is 94 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-352)\/440)\/(8 - 3531\/440)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - -10 - -12) + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/22 - (-132)\/(-2057)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -4*b + 41, b + 3*l = -3*b + 43. Calculate the remainder when 14 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10075 + -9654. 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 496 minutes after 2:00 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*g - 14*g = 2*g + 7420. Which is the biggest value? (a) g (b) 5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 10:54 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + -13. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1812 is divided by 111.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2828 - -2831. Let h(f) = -f + 4. Calculate h(a).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1115875.\nAnswer: 5, 79, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 46116 and 353052?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 37 + -33. Let h = -8.3 - -1.3. Let t = -6.7 - h. Which is the second biggest value? (a) t (b) s (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b**3 - b**2 + 7. What is v(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 735.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 76 and 44.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*d - 144 = 0, 0 = 5*s + 3*d - 587 - 133. Let b = s + -74. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2525261?\nAnswer: 43, 58727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 5*w - 189, -186 = -5*v + 2*w + 148. What is the remainder when 107 is divided by v?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -634c2 (base 14) in base 16?\nAnswer: -3a842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3014 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2 + 2*m. Let q(g) = -3*g**3 - 14*g**2 + 17*g - 2. Let r(d) = 7*o(d) - q(d). Determine r(3).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 113*j + 1040. Let f be w(10). Let q = -1274 + -190. Does 15 divide 1 - q\/f - (-38)\/(-95)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -18*n**2 + 122*n - 256. Let c(m) = -10*m**2 + 60*m - 128. Let y(p) = -4*a(p) + 7*c(p). Suppose y(i) = 0. Calculate i.\nAnswer: 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -11*d**2 - 4*d + 2. Let m(n) = 9*n**2 + 2*n - 1. Let f(o) = -6*m(o) - 5*w(o). Suppose 2*p + 3*j = -7, p + j = 2*j - 11. What is f(p)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*m = -62*m + 55 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 38 - 35. Suppose 4*r = -f*r + 406. Calculate the remainder when r is divided by 32.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*l + 50, -g - 2*g = 4*l - 40. Let i = -1 - -1. Suppose i = -5*u + g. Solve 0*v = -u*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x**3 - 20*x**2 - 12*x + 4. Let b(m) = 9*m**3 + 59*m**2 + 35*m - 11. Let z(t) = 6*b(t) + 17*f(t). Let s be z(-4). Solve 6*u - s = u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*i + 22*i + 4*i + i - 1 - 6*i + 3*i + (7 - 2 + 4)*(6*i - i - 3*i) to the form m + v*i and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 152377280.2 and -8.2445?\nAnswer: 152377288.4445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*q**3 + 0*q**3 + 5*q**3 + (-11 + 11 - 8*q**2)*(2*q + 3*q - 4*q) in the form n + x*q + h*q**2 + t*q**3 and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3*u = 46 - 64, 3*u - 30 = 5*d. Suppose -3*g - c + 131 = -2*c, 5*g - 4*c = 209. Sort g, 4, 3, d in increasing order.\nAnswer: d, 3, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*f - 21*f - 18*f - 3)*(-4 + 4 - 3)*(-2 + 0 + 3).\nAnswer: 18*f + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + 3*k - 2*k - 12, 4*c = 4*k + 32 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8246.52 rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -1\/2, 1, -711, 40 in increasing order.\nAnswer: -711, -1\/2, 2\/11, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2887, 5953, 9019, 12085, 15151, 18217?\n\"Answer: 3066*g - 179","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 7. Suppose 0 = 3*t - 16 + 1. What is the fourth smallest value in t, z, 0, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -810, -812, -802, -774, -722, -640, -522?\n\"Answer: v**3 - 9*v - 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q + q - 2*q)*(-176 - 204 + 108)*(6*q**3 - 4*q**3 - 3*q**3).\nAnswer: 1088*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqpqqqpppqpqp.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44518*z = -44523*z - 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 280 - 279.9. Sort 34, c, -3.\nAnswer: -3, c, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 3 - 200*g**2 + 1 + 199*g**2 + 2. Let b(t) = -3*t**3 + 6*t**2 + 6*t - 1. What is b(l) + 6*s(l)?\nAnswer: -3*l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 5*q - q + 100, 0 = -o - 5*q + 7. Suppose o*y - 27*y = 0. Suppose y = 4*l - 3*f - 240 - 248, 484 = 4*l - 4*f. What are the prime factors of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-3 - -3))\/(-1). Suppose s = 7*y - 5 - 2. Let r = 6 + -4. What is the remainder when r is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -1\/4, -275, 2, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -1. Let p(i) = -i**2 + 14*i + 2. Let n be p(14). Let j(t) = -t + 3 - 8 + n*t + 3. Let o(w) = -3*h(w) + j(w). Differentiate o(u) wrt u.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of h**6\/60 + 4*h**5\/5 + 65*h**4\/12 + 14*h**3 - 26*h**2 + 7*h. Solve c(i) = 0.\nAnswer: -21, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*b**3 - 6786*b**2 + 768852*b - 306456 = 0. Calculate b.\nAnswer: 2\/5, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 263\/365 - 38\/73. What is the third biggest value in -7, 7\/2, k?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9 - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5 = -5*f, 3*p - 2 + 0 = 2*f. Is 19 a factor of (19\/f)\/((-2)\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 (base 6) in base 3?\nAnswer: 11020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*d - 41 + 126 = 11*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1.6, -13.1, 1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-34)\/(-9) + 2\/9. Let d be (n\/6)\/((-2)\/(-36)). List the prime factors of 3\/(-1)*(-316)\/d.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -2) + -1 + -3 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in 141, -3\/4, -71, -1\/3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(405) + 4)*-4 - ((4*sqrt(200)\/sqrt(5))\/(sqrt(8) - (-2*sqrt(800) - sqrt(800)) - sqrt(8)))**2.\nAnswer: -36*sqrt(5) - 364\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2722 - -96446.\nAnswer: 93724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -129, -227, -337, -453, -569, -679?\nAnswer: -777","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 273 is divided by 79.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3999 and 403?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, m: 1}. What is prob of sequence hh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 262731630 divided by 107898.\nAnswer: 2435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 849 is divided by 111.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2) + -3 - -1 - (-29 - -23).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 2269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -11. Calculate the smallest common multiple of 4 and t + -2 - -2 - 3.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18476738 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**3\/5 - 84738*c**2\/5 + 882492*c - 57388344\/5 = 0. Calculate c.\nAnswer: -28298, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -7\/17 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1815053 + 1817583 = 110*k for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1002 is divided by 511.\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**2\/t*t**7*t*t)\/(t**(-2\/5))**(3\/5))\/(t**10*t**7)**41 assuming t is positive.\nAnswer: t**(-17169\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48661771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 12 + 10 = -3*f, 0 = -4*f - 3*g - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -9*u**2 + 3*u - 2. What is x(2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 79 (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 16055599984\/328 - (-12)\/246. What is d rounded to the nearest 1000000?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**2 + 21*m - 52. Let s be u(-23). List the prime factors of ((-261)\/(-6) - 3) + 3\/s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y**4 - 2 + 2)*(3 - 3 - 2*y) - 2*y**5 - y**5 + 9*y**5 + 5*y**5 - 2*y**5 - y**5.\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 3*w + z - 239 = 0, 2*z - 295 = -5*w. Calculate the remainder when w is divided by 32.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 43 and 299581.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -2*b + 5*b - 570, g + 2 = 0. What are the prime factors of b?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140*b - 139*b = 680. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69 - -79. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 3. Suppose 3*m - 6 = 3. Suppose h = -4*j, -m*j + 2 - 1 = -t. Does t = 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i + 0*i**4 - 175*i**2 + i**3 + 90*i**2 + 119*i**2 + 2*i**4 to the form c*i + n*i**4 + a + f*i**2 + z*i**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3428, 13703, 30828, 54803, 85628, 123303?\n\"Answer: 3425*m**2 + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(2\/21)*z*z\/(z*z*z*z\/z**(-7\/5)*z)*z)\/((z\/(z\/(z\/z**(-3\/2)*z)))\/z**(-7)))**26 assuming z is positive.\nAnswer: z**(-37687\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.2 + 0.4. Suppose -4 = -3*s - 4*g, 2 + 12 = 2*s - 3*g. Let k = s + -5. Put k, z, 2\/19 in decreasing order.\nAnswer: z, 2\/19, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p + z + 53 = 0, -505*p = -1019*p + 511*p - 4*z - 41 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 21 - 9. Suppose -2*t = -t + 2*n - 10, -2*t - y*n = -17. Let b be (-4 + 7 + -7)*-1. Solve -b = -3*o - 4*d + 12, -5*o + 16 = -t*d for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**48\/(i**(3\/4)*i**7) assuming i is positive.\nAnswer: i**(-31\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020400 (base 5) in base 7?\nAnswer: 164021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 38762 + -310201\/8. Let o = 2 + -15. Is u at least o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) -0.2 (c) -1 (d) 1\/6 (e) 1\/5 (f) 4111.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + -2 + (-234)\/(-1). Let o be 488\/2*(-1)\/2. Let h = o + j. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*o**4 + 53*o**4 - 5*o**4 + 3*o**4 + 0*o**4 - o**4 + (4*o**3 - 4*o**3 + o**4)*(-2 - 2 + 3) + 2 + 2*o**4 - 2 + 2*o**4 + 1 - 1 + 17 + o**4 - 17.\nAnswer: 88*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, q: 11}. Give prob of sequence yy.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 70522683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1053 - 1043. Suppose c*d + 3*d - 4290 = 0. Does 66 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (-10 - -6 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*m - 3 - 2*m + 4)*(4 + 0 + 0)*(-2*m + m + 5*m).\nAnswer: 112*m**2 + 16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 0, 13*z - 14*z + 5*x = -649. Let v = z - 30501\/47. Let t(r) = -2*r**2 + 2*r - 1. Let j be t(1). Is v <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 50135615?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**3 + 6*k**2 - 4*k + 8. Let m be l(5). Calculate the greatest common factor of m and 130.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-2)\/((-4)\/10). Let w be 8\/(-24) - (-28)\/3. Suppose n - l*u - 8 = 3*n, -n + 4*u = -w. Put 2, n, 5 in decreasing order.\nAnswer: 5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90704.\nAnswer: 2, 5669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 14, -152, -7, -1, 20, 3 in ascending order.\nAnswer: -152, -7, -1, 1, 3, 14, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 12 - (717 - 646)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**3 - 5*f**2 - 12*f + 5. Let d be h(5). Which is smaller: 72 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*n + 30 = -16*n. Let x be 52\/65*1\/n. Which is the closest to 2? (a) x (b) -2 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(99)*2*-3 - sqrt(99)))\/(-3*5*sqrt(81)).\nAnswer: 7*sqrt(11)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*u - 36*u + 2612 - 2608)*(-7*u - 8*u + 9*u).\nAnswer: 294*u**2 - 24*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -25*y - 5. What is the remainder when g(-4) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -146469, -146470, -146471, -146472, -146473?\nAnswer: -146474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16514011.\nAnswer: 337, 49003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do -63820 and -63825 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 4. Sort 3, t, -5 in increasing order.\nAnswer: -5, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 178 - 176. Suppose 8*r + o*r = 4070. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -108 - -114. Suppose w*d = 10*d - 324. List the prime factors of d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -20*y**3 - y**2. Let i(c) = -89 - 3*c**3 + 89. Let f(j) = 21*i(j) - 3*o(j). Factor f(q).\nAnswer: -3*q**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 c when two letters picked without replacement from ohfcssn?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 376524354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.73465 and 3180457?\nAnswer: 3180454.26535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 5*g + 4. Let k(z) be the second derivative of 2*z**3\/3 + z**2 - 7*z. Let i(r) = -r. What is g*i(q) + k(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 9:58 AM?\nAnswer: 3:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -68061900?\nAnswer: -1\/13612380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1354626 divided by 17367.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1 - -2) + -1 - (-22)\/(-77))\/(607\/(-59486)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 = -4. Suppose -b*n + n + 29 = 0. Let c = n + -21. Does 6 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/781450 and -111\/50.\nAnswer: 781450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -425 + 1665. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2 + 2*a + 2. Let o(l) = 2*l**3 + 15*l**2 + 8*l + 9. Let w be o(-7). Let c(y) = -3*y**2 + 11*y**2 - 4*y**w. Calculate m(c(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - w - w)*(-26 + 13 - 3*w + 11) + 7*w**2 + 4*w**2 + 16*w**2.\nAnswer: 30*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 652 + 403. Suppose -5*w - 340 = -u. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -313590 to the nearest ten thousand.\nAnswer: -310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 + 7*n**2 + 2*n**2.\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a - 3*a - 3*a)*(331*a + 16583 - 332*a - 6470) to c + w*a + s*a**2 and give w.\nAnswer: -20226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -902.52 and -0.2?\nAnswer: 180.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o**3 - 26*o**2 + 37*o - 147. Give d(12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (80 + 208 - 93)*(4*n**4 + n**4 - 4*n**4) as d*n**2 + i + f*n**3 + q*n + j*n**4 and give j.\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*z + 173*z - 36 = 0. Solve -d = 5*p + 4, -z*d = -p - d + 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-23 - -48) - -61\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2662 - 2662.00009238. What is u rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 740 and 90827452.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -148*-0.623\nAnswer: 92.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -33954 and -0.5.\nAnswer: 16977","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 324.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-348)\/29 + (24373 - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -5055477\/8 - 127449\/8*h - 1071\/8*h**2 - 3\/8*h**3 = 0.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, l: 4, e: 4, v: 2}. Give prob of sequence ee.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -26. Let v(r) = r**3 - 4*r**2 - 2*r + 5. Let j be v(4). Sort d, j, 2 in decreasing order.\nAnswer: d, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + ((-3)\/(-7) - (-60)\/7). Suppose 16*r - w*r = 0. Suppose q - v = 6*q - 6, -5*q - 3*v - 2 = r. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*g - 35*g - 59*g = 0. Solve -4*a - 16 = g, -4*a = -x + 6*x + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193 minutes after 10:25 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Simplify x**41*(x*x**(-8)\/x)\/x*(x**38)**49 assuming x is positive.\nAnswer: x**1894","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.024, -4\/401, 36?\nAnswer: -0.024","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -891*h - 41 = -882*h + 2*c, -2*h - 3*c = 4 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 134*v + 490 + 526 = -592 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 11 (c) -11\/9 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 949908667 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -199 (base 10) to base 2.\nAnswer: -11000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121021201111002 + 12?\nAnswer: 121021201111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 31034218.\nAnswer: -1\/15517109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 27. Sort 5, -4, w in descending order.\nAnswer: 5, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p + 2*p + 24*p - 3*p.\nAnswer: 26*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 11*d**2 + 24*d + 34. What is the smallest common multiple of k(-7) and 108?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 97 = 3*t, -4*t - 3*n + 121 = -0*n. Suppose -14 = 5*v - t. Suppose -3*j + 2530 = 2518. Solve -v*q - j*d - 4 = 0, -3 = d + 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 620 = 6826\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeee. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 423\/4 + -107. What is the nearest to -0.1 in v, 0, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33367 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1059 + -1057.146. Let j = -1.57 + h. Let i = 0.4 - j. Round i to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6170, 6172, 6174, 6176, 6178?\nAnswer: 6180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758877990 is divided by 296?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12885209.\nAnswer: 181, 257, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2*i**2 + 2*i**2 - 3*i**2 - 3.\nAnswer: -3*i**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 10:40 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -27*g**2. Let a(r) = 25*r**2. What is a(q(k))?\nAnswer: 18225*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (((-893)\/(-228))\/(-47))\/(-1 - (-236)\/270) and -61\/306.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*z**3 - 2*z**3 + 3*z**3)*(-2535*z - 688*z - 441*z + 3984 - 3982).\nAnswer: 14656*z**4 - 8*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o**2. Let a(f) = -6*f + 11*f - 2*f. What is x(a(i))?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 11:33 PM?\nAnswer: 12:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 190*w + 7272. Let s be y(-38). Let q = -4 + 56. Is q bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32848978, 32848969, 32848960, 32848951, 32848942, 32848933?\n\"Answer: -9*u + 32848987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + 90. Calculate the remainder when g is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1310*m**2\/7 - 16113002*m\/21 + 8200\/21 = 0.\nAnswer: 1\/1965, 4100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h - 2. Let k(o) = -2*o + 1. Let z(g) = 5*k(g) + 3*n(g). Let t be z(1). Is 106\/8*t*4 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/1062 and 4\/(-10) + (-395)\/600?\nAnswer: 21240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 13 - 13 + f. Suppose 0 = -3*l + 9 + 3. Suppose l*k - 21 = u, -5*k + 0*k + 15 = u. Give w(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x - 79. Let p(m) = -2*m**2 - 22*m - 13. Let f be p(-11). Let v be t(f). Let z = v + 113. Sort 0, 4, 2, z in ascending order.\nAnswer: z, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffrfppffgpgrf?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -142, -247, -352, -457, -562, -667?\n\"Answer: -105*j - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -7*a**2 - 417*a + 2696. Give j(6).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-1*(sqrt(490) + -1*sqrt(490) + sqrt(490)))\/((sqrt(140)\/(sqrt(12)\/sqrt(3) + sqrt(4)))\/(-4*(sqrt(175) - sqrt(7)))).\nAnswer: -448*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 138 - 121.2. Let v = -7 + c. Let b = v - 9.80276. Round b to four dps.\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6bb26 (base 12) to base 15.\nAnswer: -2ce93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wi when two letters picked without replacement from {t: 1, i: 3, x: 5, w: 6, o: 2}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -35 + 35. Suppose 0 = -3*y + j + 1978, i = -3*y - 4*j - 0*j + 1958. Suppose y = 5*w - 637. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/8, 1, -33.26, 4\/13, -3 in increasing order.\nAnswer: -33.26, -3, 1\/8, 4\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 67 = -8. Suppose 7091 = -14*n + i*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22459444 is divided by 701857?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z\/z**(4\/5))))\/(z\/(z\/(z*z**4)))*z*z\/((z*z**5*z)\/z)*z*z**(-6)*z*z*((z*z**(2\/15))\/z*z*z**(-3))**10 assuming z is positive.\nAnswer: z**(-442\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 2, -5182\/359 in decreasing order.\nAnswer: 2, 0.4, -5182\/359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -3\/7, 0, -53, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 - (-42 + 79) - (17 + 0)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 118532487 to the nearest integer?\nAnswer: 10887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 + 34 - 2*s - 111 + 35.\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414\/(-184)*15872\/(-6).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*j - f, j - 8 = 5*j + 2*f. What is the closest to j in -0.1, -4, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a432c (base 13) to base 11\nAnswer: -191660","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -94389*o. Let f be t(1). Let k = f + -46611. What is k rounded to the nearest ten thousand?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1964470, 3928975, 5893480, 7857985?\nAnswer: 9822490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((16\/15132)\/(2\/3)). Suppose -2339 - y = -15*r. What is the smallest common multiple of 21 and r?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w. Let r(k) = k**3 + 6*k + 2. Let o(m) = r(m) - 6*u(m). Let b = -3 - -3. What is o(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**5 - 2*l**5 + 3*l**5 + (4*l + 4*l - 5*l)*(-l**4 - 2*l**4 + 4*l**4) + 46*l + 11 - 46*l - 2*l**5.\nAnswer: 3*l**5 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1604 - 1604.3. What is the closest to -1 in d, -30, 4, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9040556 times -118?\nAnswer: 1066785608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 52\/12 - 4\/(-6). Suppose -2*n + 3*w + 12 = w, 0 = -y*w - 15. Let i(g) = -g**3 + 2*g**2 + 2*g + 4. Calculate i(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (-3 - (-3 - -76)). Suppose -2*n + 14 = -x. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6688 and 1672.\nAnswer: 6688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + 8. Let n(q) = q**3 - 5*q**2 - 3. Is n(c) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10826, 10800, 10766, 10724, 10674, 10616, 10550?\nAnswer: 10476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 + -11. Let g(c) = 9*c**2 - 1 - 10*c**2 - 3*c - h. Calculate g(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1952066 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - 6*g - 22. What is the remainder when 61 is divided by z(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64 = -148*d + 116*d. Sort d, 5, 1537 in increasing order.\nAnswer: d, 5, 1537","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**2 - 12*g - 7. Let t be s(-11). Let m be (-1)\/t - (-26)\/8. Solve m + 1 = -n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.308441 kilometers to millimeters.\nAnswer: 5308441","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/5 of a millennium?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 25486724?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13155.\nAnswer: 3, 5, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes before 2:58 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 14 - 4 = 0. Calculate the least common multiple of 86 and n.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 2*a + 0 + (3 - 13 - 9)*(-2 + 2 + a) + 64*a - 9*a - 3*a + (2 - 4*a - 2)*(0 + 3 - 1) in the form n + x*a and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 7:10 PM?\nAnswer: 6:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -274 + 319.75. Let l = j - -5.65. Let x = l + -50. Round x to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m. Let c(g) = g - 5. Let r be c(7). Let i(f) be the first derivative of 3 + 0*f + 1\/2*f**r. Give x(i(h)).\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 85105066 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -17 - ((2 - 2) + 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19548.891us in days?\nAnswer: 0.0000002262603125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j + 1. Let b be o(-2). Let m be -1 + b + 9 + -10. Let p = -13 - m. Let s(q) = q**2 + 8*q + 7. What is s(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 101 (b) -0.07 (c) -8\/325 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4 - 16. Suppose -p = 5*j - 4*j. Does -3 = j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 319 + 295 = 0. Suppose -l*r = -24*r + 6174. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - q - 127 = 0, 25 = -j - 2*q - 4. Let t be (-14)\/5 - (-5)\/j. What are the prime factors of -2*(t + 9\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*y + 36*y = 97 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 6 = 0, -b - 3*t + 538 = -1360. Is b a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -538, 2, -3 in decreasing order.\nAnswer: 2, -3, -538","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 240553 - -1?\nAnswer: 240554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1258 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -5*g - 5*p - 4, 0 = 5*g + 5*p. Solve -2*h = 11 - g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*q**5 + 8308*q**4 - 31132*q**3 - 354164*q**2 - 414960*q - 100224 = 0. Calculate q.\nAnswer: -696, -4, -1, -1\/3, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*k - 24, h + k + 16 = 6*k. Suppose 7*q - 42 = h*q. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -91343 or -91342?\nAnswer: -91342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/18*6*3\/2. Put 23, -1, n in increasing order.\nAnswer: -1, n, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 92 + (-87 - -6) + -105\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1998 and 135.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 178\/(-48)*(-2214)\/(-3608) + 2 and (166\/18)\/((-4)\/(-6))?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29178493973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46 and 171649?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27336?\nAnswer: 2, 3, 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11965.739 and 0.2.\nAnswer: 2393.1478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - p + 17 = 0, 102 = -o - 6*p + 237 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, u: 7, p: 2, o: 5, r: 1}. Give prob of picking 1 u, 1 o, and 1 d.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of 13*o + 6 + 1\/2*o**2. What is the units digit of v(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/5)\/(2\/(-10)). Let r = -930 + 932. Put r, g, -5 in ascending order.\nAnswer: -5, r, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 791 - 795. Which is the closest to -0.1? (a) w (b) -9 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 4 = 4*l, -4*u + 6 + 10 = l for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1710 is divided by 26?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.49 - -0.51. Let w be 0\/2 + (-7 - -10). Suppose -w = -3*h - 0. Which is the nearest to q? (a) -4\/9 (b) h (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -7*i - 2. Let l(p) be the second derivative of 5*p**3\/2 + 2*p**2 - 5*p. Determine -6*l(t) - 13*z(t).\nAnswer: t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6580 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 4*i + 4*n = 4, -1 = -5*i - n. Suppose 6 = u + 3*v - i, 1 = u - 2*v. Factor 0*r - 2\/5*r**u + 1\/5*r**2 + 0.\nAnswer: -r**2*(2*r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 47 + 38*c - 50*c + 20.\nAnswer: -12*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**5 + 4*f**5 - 4*f**5 - f**3 - 2*f**5 + f**3 + (-2*f + 2*f**2 + 2*f)*(2*f**3 + 3*f - 3*f) + (1613 - 200*f**2 - 1613)*(-4*f**3 - 3*f**3 + 0*f**3).\nAnswer: 1405*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56 + 210. Does 11 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56800.75 centuries in decades?\nAnswer: 568007.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1653*y + 264*y - 454*y - 51604 = 0 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**3 - 140374*u**2 + 280754*u - 140378 = 0. Calculate u.\nAnswer: -70189, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c**2 - 6 + 7 - 2*c**2 + 2 in the form y*c + t + z*c**2 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212021 (base 3) to base 10.\nAnswer: -628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**3 - 6*g**2 + 108*g + 27. Calculate h(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 341262163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 715101?\nAnswer: 32\/715101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, f: 7}. Give prob of picking 3 f.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 6*l**2 + 5*l + 3. Let j be k(-5). Suppose -176 - 91 = j*f. Let m = 111 + f. What is the remainder when 61 is divided by m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((5481\/(-315))\/87)\/((3\/((-15)\/10))\/(-430))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 556*c - 11074. Is 93 a factor of n(43)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*h**6 + 24*h**4 + 99*h**3 + 5656*h**2.\nAnswer: 1680*h**3 + 576*h + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of -t**7\/42 + 7*t**6\/24 - 7*t**5\/6 + 5*t**4\/3 - t**2 - 2*t + 4. Factor u(n).\nAnswer: -5*n*(n - 4)*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*c - 13*c + 3*c)*(-1 + c + 1).\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3328 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 7 (b) -0.5 (c) -445 (d) 2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 3 - 4)*(-4 + 0 + 2) + 2 + 1 - 4)*(-41 + 41 - 18*f) in the form a + k*f and give k.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -46410.031.\nAnswer: -46409.731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5667 a factor of 435338940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7977530 to the power of 1\/2, to the nearest integer?\nAnswer: 2824","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 7527 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -2*1)*-1. Suppose -4*b = -n - 11. Let d(p) = 667*p**2 - p. Let c be d(b). Round c to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 7011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -486564 less than -486564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 12*n - 12. Let d be h(3). Let t = -3159 - -3255. What is the highest common divisor of t and d?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14255339 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2499506015 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 5:36 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 770 = 3*i, 2*m - 3*i - 324 + 16 = 0. What is the greatest common factor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0502228 rounded to four dps?\nAnswer: 0.0502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/7, -0.2, -2.5, -1, 10\/3927?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -h*z**2 + h*z - 3*z**3 + 17 wrt z?\nAnswer: -2*h - 18*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/3 - (-99)\/27) + (-2)\/6.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16352 and 69400?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (437 - 0) + -3 + 4. Suppose c + i = 144, 3*c + i + 4*i = u. List the prime factors of c.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - -24414432?\nAnswer: 24414431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1125, -3 in ascending order.\nAnswer: -4, -3, 1125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -66541, -266178, -598909, -1064734?\n\"Answer: -66547*q**2 + 4*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.401 take away -2670?\nAnswer: 2677.401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 34. Let m = 29 - x. Factor m*i - 4*i**2 - 2*i + i**2.\nAnswer: -3*i*(i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 31*1 - (33 + -30).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 555440.09 times -5\nAnswer: -2777200.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 126*a**2 + 14*a + 7. Let p(y) = 127*y**2 + 12*y + 6. Determine -5*n(v) + 6*p(v).\nAnswer: 132*v**2 + 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -8*f**3 + 18*f**2 + 808*f - 1639. Determine r(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1378 from -3051.602.\nAnswer: -1673.602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 578 and 1262264722?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + -12 + 4 + 2 + 5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(175)*-2)**2*-6.\nAnswer: -4296 + 480*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100 - 1221202101212?\nAnswer: -1221202112012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 378025963 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2584*k**2 - 1186*k**2 - 3270*k**2 to the form f + v*k**2 + p*k and give v.\nAnswer: -1872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27336 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 29467430 divided by 10\nAnswer: 2946743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/4)\/((-2)\/6). What is the second smallest value in o, -3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1633 is divided by 553?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-122911612)\/(-1196636) + 2 + (-100)\/42 + 4\/6.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 3:11 AM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 49336.52cm?\nAnswer: 493.3652","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3525*0.5\nAnswer: 0.17625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006057 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a kilogram in milligrams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2489 divide 72375142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -39489476038031 minus 5?\nAnswer: -39489476038036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 110 and 457551314?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = x - 15. Let z = -14 + x. Sort z, 0.5, 4.\nAnswer: 0.5, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 4*c + 4*s, -36 = -2*c - 3*s + 7. Suppose -c - 10 = -2*v - 5*d, 0 = -2*v - 3*d + 17. Put -29, v, 2, -5 in increasing order.\nAnswer: -29, -5, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2277 = -262*a - 14591 for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 8:46 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -7 - 2 - 5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p - 12*p - 1224 = -3*n, -5*n - 20 = 0. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-1199)*4235\/385*-1?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8879578.\nAnswer: 2, 31, 197, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32 + 42)*1\/10. Let o be 6\/22*2\/3. Let y = 89 + -800\/9. Which is the fourth smallest value? (a) y (b) o (c) w (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + -1 + (28 + -22 - -4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1049\/445 - -192\/89. Which is the nearest to 12\/5? (a) 64 (b) o (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 + 1 + 142142\/(-3124)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**4\/11 - 54658*f**3\/11 + 1586428*f**2\/11 - 9192288*f\/11 = 0. What is f?\nAnswer: -27358, 0, 8, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3418855 * -39.\nAnswer: 13.3335345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 738803 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 428915 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 31 in -3, -16\/7, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 2 - 3)*(-2 - 1 + 2)*(3*d + 0*d - d)*(3 - 2 - 3).\nAnswer: -44*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yymyyyyyyymm. What is prob of sequence mmmy?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96 - 83) + (-5 - (-1)\/22*-170).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(17) + sqrt(68) + -1)**2.\nAnswer: -12*sqrt(17) + 157","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16456579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the third derivative of -587*k**7\/70 - k**4\/6 + 115*k**3\/6 - 159*k**2 + 4. What is the second derivative of c(r) wrt r?\nAnswer: -21132*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.2 rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/58 - 31964\/(-1769). Suppose -g*c = -11838 - 5856. What are the prime factors of c?\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -467*-450\nAnswer: 210150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -239.6 - 2.577?\nAnswer: -242.177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -23*n - 10. Let m(o) = -28*o - 9. Let d(z) = 6*m(z) - 7*u(z). Let x(j) = -2*j. Determine x(d(c)).\nAnswer: 14*c - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/160 and 43\/6.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 22*t - 106. What is the remainder when 1482 is divided by o(4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 22, -0.3, -2\/19?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.1 - -1.9. Let s = 291 - 3493\/12. Which is the fourth smallest value? (a) u (b) -7 (c) -4 (d) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**4 - u**4 - 3*u**4)*(0 + 1 - 2) - 4*u**4 - u**4 + 2*u**4 + 69*u**4 - 46*u**4 + 9*u**4 + 52*u**4 - u**3 - 5*u**3.\nAnswer: 80*u**4 - 6*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416 = 190*o + 1864 for o.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -34. Let p = f - 0. Calculate the greatest common factor of 10 and p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 35 = -2*q - 1, 2*a + 14 = q for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108789133 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/50 of a century?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 11, x: 2, n: 7}. Give prob of picking 3 n and 1 x.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 81763*n**3 + 81743*n**3.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 3105?\nAnswer: -3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 86*b**4 + 99*b**4 - 393*b + 11*b + 38*b**4 wrt b?\nAnswer: 2676*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -42672, -42701, -42730?\nAnswer: -42759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*l + 11*l + 15*l - 30*l.\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 243008641?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 44\/5 of a kilometer?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.197 and -2.5.\nAnswer: -2.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c\/(c**(-3\/16)\/c*c)*c)*c)**(-2\/41))**32 assuming c is positive.\nAnswer: c**(140\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -103221 (base 4) in base 2?\nAnswer: -10011101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1413.7 + 1414. Which is the second smallest value? (a) g (b) -2.2 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, j: 7}. What is prob of picking 1 o and 2 j?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 162 and 19710?\nAnswer: 59130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 342 + -160. What is the greatest common factor of c and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11.87 times 176294\nAnswer: -2092609.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 16*u**4 - 4*u**3 + 15. Let p(s) = 15*s**4 - 5*s**3 + s**2 + 17. Let j(y) = 4*p(y) - 5*x(y). Find the first derivative of j(b) wrt b.\nAnswer: -80*b**3 + 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 (base 8) in base 3?\nAnswer: 10122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -707.23?\nAnswer: -707.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k*k\/k**(-1\/3)))\/(k*(k**6*k)\/k*k)*k*(k\/(k**(1\/3)*k))\/k*k*k**(3\/2)*(k\/(k**(4\/5)\/k))\/((k\/((k**2*k)\/k*k))\/k)*(k\/k**(-2))\/k**3 assuming k is positive.\nAnswer: k**(-59\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-158 + 17 + 34 + (-3 + 2 - 1)*(1 - 1 - 2))*(z**4 + 4 - 4) in the form j*z**2 + p + t*z**4 + g*z + o*z**3 and give t.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 8 = -2*r, 19*o = 200*r - 199*r - 43 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-327 - (363 + -702)) + (65 - 1 - -2)\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -204146.75 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 156 - -48. Let n = l + -202. Which is bigger: 21\/29 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (132\/(-110))\/((-189)\/(-90))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + s. Suppose d = -s*d - 2. Let c be -2*(15\/(-8))\/(-3). Is d less than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*h - 25 + 102 = 0, -3*o + 55 = -4*h. Suppose 6*v + 2359 = o*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4\/1453 - -11540\/30513. Let j = r + -1\/21. Sort j, 4, -0.2, 3.\nAnswer: -0.2, j, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 5*u**2 + 4*u. Suppose 59*v - 24 = 51*v. Give d(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 5*r - 6 - 29, -3*r = -s - 21. Suppose -2*z + 6 + 4 = 5*u, 2*z - 10 = 2*u. Solve s = 2*k - z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -49*i**6*y + 166*i**3*y**3 + 3*i**2*y**2 - 9*i**2*y - 649*i**2 + 6*y**3 wrt i.\nAnswer: -5880*i**3*y + 996*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -2*c**3 + 182*c**2 + 3*c - 269. Calculate the lowest common multiple of 1652 and i(91).\nAnswer: 1652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 18784359 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 17) + -28 + 2 - (-1 + -3 - 1)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 56862 is divided by 223?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**7\/3780 + p**6\/270 + p**5\/45 - p**4\/12 - 3*p**2. Let q(l) be the second derivative of b(l). Find k such that q(k) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 112.774514 to one dp.\nAnswer: 112.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25654 is divided by 796?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 20. Sort f, 1, 1\/3 in increasing order.\nAnswer: 1\/3, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.7 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**3 + 4*r**3 + r**3 + (-4*r + 0*r + 2*r)*(7*r**2 + 6*r - 6*r).\nAnswer: -13*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bg when two letters picked without replacement from uybuybuuyuygb?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 852 - 852. Let w(b) = -7 + 6*b + 7. Determine w(z(k)).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*-3*-6)\/(sqrt(1000) + sqrt(1000)*2 - sqrt(1000)).\nAnswer: 9*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135441040 is divided by 2191.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3564)\/(-5 + 1) - (2 - 0). Suppose 5086 = 5*s - r. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 58439*f + 3613. Is m(24) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 - 16*p**2 + 2*p + 42. Calculate t(-16).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26739, -106766, -240089, -426702, -666599?\n\"Answer: z**3 - 26654*z**2 - 72*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 5141 = -397 + 568. What is the lowest common multiple of z and 913?\nAnswer: 3652","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53706 + -25789. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 38790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/11 (b) -2\/3 (c) 0.2 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0.4, -3, -0.065?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, -6, 346, -5, 3, -2.\nAnswer: -6, -5, -2, -1, 0, 3, 346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 110809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.1, -3\/8, -0.5, -2\/9, 1212, 500?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2122 is divided by 88.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/15*5 - -22. What is the greatest common divisor of 160 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27764\/3 - -9253. Let y(w) = w**2 - w + 1. Let z be y(1). Let o = -1 - z. Which is greater: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -14 + 18 - (2 - -2)\/2. Find the third derivative of 11 - 11 + c**3 + 2*c + 41*c**5 - 50*c**j - 20*c**5 wrt c.\nAnswer: 1260*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -392844 at least as big as -230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2635005 is divided by 1455.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 4, -15059, 0.1 in decreasing order.\nAnswer: 4, 3, 0.1, -1, -15059","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.073 and 11.13.\nAnswer: -0.81249","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 9 = 33. Let i = -39 + v. Suppose -45 - 10 = -3*b + 4*l, -5*b + i*l + 77 = 0. Solve -4*x - 3 = b for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 8?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -21. Suppose 2*n - 3 = h. What is the remainder when 16 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1319 - -1318. Which is the nearest to 0.1? (a) 2\/5 (b) 2 (c) q (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14690955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/5104779 and -35\/9.\nAnswer: 15314337","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10803 + 16003. Calculate the remainder when s is divided by 51.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = -19733 + 3689. Which is smaller: -2291 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/20004656 and -5\/532?\nAnswer: 380088464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -27938239, -55876472, -83814705, -111752938, -139691171, -167629404?\n\"Answer: -27938233*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-46))\/((-18218)\/(-1466549))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*a - n, 3*a + 8*n - 3*n - 3 = 0. What is the greatest common divisor of 53 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1\/9))\/n**(-7))**(-22)\/(n**(5\/4)*n**(3\/4)*(n\/(n*n**1))**35) assuming n is positive.\nAnswer: n**(-1309\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (504796 + 24\/6)*250. Round s to the nearest 1000000.\nAnswer: 126000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 95 * -0.28.\nAnswer: -26.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lkklkpl. Give prob of sequence lkk.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -4*h + 19, 5*s + 9 = 3*h + 12. Solve 5 = s*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 4*y = -10, 4*a = 6*a - 3*y + 10 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31588 and 12814.\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -359 + 529. Suppose 0 = -n + 3*n - 136. Calculate the highest common divisor of n and l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140251 (base 6) to base 2.\nAnswer: -11001100000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) 0 (c) -0.38\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1609968000 to the nearest one million.\nAnswer: -1610000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.8 - -6. Suppose -4*m + 3 - 23 = 0. What is the biggest value in m, k, -1\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c**2 - c - 3 + 7*c**2 + 1 - c. What are the prime factors of z(2)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q - 10. Let x be u(-2). Suppose -5*w + x*b + 4732 = 1301, 0 = -3*w + 3*b + 2064. Suppose -5*i + 130 = -w. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - -1 - -8 - (-221 + 220))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/6)\/((-33)\/9). Let x = 4.78 - 4.8. Let h = 0.22 + x. What is the third biggest value in y, h, -0.1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -5*r - 219, 0 = 150*y - 146*y - 40*r - 292 for y.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5459 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 6 - 1)*(0*w - 3*w + 5*w) - 11*w - 2*w - 3*w)*(-1 + 1 + w) to z*w**2 + q*w + y and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**2 - 3. Is v(-6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + (83372\/4 - 4). Suppose 3*k = 2*c + 2*k - 17326, -5*c + 43313 = -2*k. Suppose -5*p - c - r = 0. What is p rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 2*r + 2 = 0, 3*h + 5*r + 16 - 23 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 5*d = -10, 2*d - 3 - 1 = -2*t. Let v(o) = -o**2 - 2*o + 5. Let l be v(0). Suppose -5*q + 3*q = 4, q + 2 = l*a. Solve a*n - 3*n + 15 = t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.3, 3, -1, -14\/17?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3456) - -1*6*sqrt(3456))\/(-6*sqrt(144)\/(sqrt(36)\/sqrt(3))).\nAnswer: -14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -10.9, 1\/160, 40?\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*l**4*q**3*t**3 - 176673*l**3*q**3 + 11*l**2*q**3*t**3 + 2*l**2*q**3*t**2 + l**2*q**2 + l*q*t**3 + 109*l*t**3 wrt l.\nAnswer: -48*l*q**3*t**3 - 1060038*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2222)\/(-4))\/(2\/4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -38*v + 266. Let l be x(7). Solve -29*j + 26*j + 3 = l for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002309435 rounded to six decimal places?\nAnswer: 0.002309","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9788095903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(363) + 0)*5 + sqrt(363) - sqrt(363))*-1 - ((sqrt(363) - (4*(sqrt(363) + -1) + sqrt(363))) + sqrt(363) - (-4*sqrt(363) + 2)))**2.\nAnswer: 484*sqrt(3) + 43927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-10040*h + 10040*h + 144*h**3)*(119*h - 8*h + 29*h) to the form z*h**3 + w + v*h**4 + s*h**2 + m*h and give v.\nAnswer: 20160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -117 + 119. Which is the closest to -2.8? (a) y (b) 0.5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10762a (base 16) to base 2\nAnswer: 100000111011000101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 5*m + 50. Suppose i + 20 = -i. Let z be c(i). Suppose 9*s - 24 - 111 = z. Calculate the lowest common multiple of 9 and s.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -92, -185, -276, -365, -452, -537?\n\"Answer: n**2 - 96*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 630695832 and 265668?\nAnswer: 630695832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20.4 + -9.4. Let w = b + -11.1. Sort -0.4, w, -5, -0.3 in decreasing order.\nAnswer: w, -0.3, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -93266, -93706, -94436, -95456, -96766, -98366?\n\"Answer: -145*z**2 - 5*z - 93116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 24 + 42. Is 12 a factor of d*(-4 + 8 + 12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-4 + -1*sqrt(2736)*2*2)**2.\nAnswer: 384*sqrt(19) + 43789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 1\/8, 0.307, 1\/95?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 414304 - 13?\nAnswer: 414241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 1, 0.4, -1\/109?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 318, 1333, 3002, 5307, 8230, 11753?\nAnswer: 15858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12692*g**2 + 26097?\nAnswer: 25384*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 472 - -649. Let d = k + -678. What are the prime factors of d?\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**17*v*v**15*v)**(-2\/87) assuming v is positive.\nAnswer: v**(-68\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 + 28*v - 52. Let k(l) = 3*l**2 + 19*l - 35. Let c(n) = 7*k(n) - 5*w(n). Let d be c(5). Solve 5*r + d*a - 60 = -15, 0 = 2*r + a - 13 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -1\/4, 3\/2, -4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20877, 20393, 19587, 18459, 17009?\n\"Answer: -161*j**2 - j + 21039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/7 + 399180*l\/7 + 399208.\nAnswer: -4*(l - 99802)*(l + 7)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 13*v**2 - 37*v - 33. Is n(16) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*y + 7, 4*b = y + 3*b - 5. Let v be ((-3)\/9)\/((-2)\/3). Which is smaller: y or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 739 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27217 or -27218?\nAnswer: -27218","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 2*w = -5, 70*d + 15 = 73*d + 5*w. Let t(u) = -u**3 + 5*u**2 - u + 8. What is t(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1475 in -1\/3, 4, -2\/9, 3\/2, 0.5, 373?\nAnswer: 373","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the second derivative of 8*o**4\/27 - 67*o**3\/27 + 4*o**2\/3 + 6*o - 5. Let y(f) = 0. Calculate f.\nAnswer: 3\/16, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + 130?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 4 = -p, 7*v = 10*v - 5*p - 4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 387629, 2 in decreasing order.\nAnswer: 387629, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t - 142. Calculate the smallest common multiple of 104 and g(19).\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(16\/(-14) - (-138)\/(-161)). Let s(w) be the first derivative of 0*w + f*w**3 + 1\/8*w**4 + 0*w**2 - 8. Factor s(k).\nAnswer: k**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 - 20. Calculate the highest common divisor of 33 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1073 - 5167\/5. Let p = f + -40. Sort -0.1, 5, p in ascending order.\nAnswer: p, -0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(-8) - 19\/(-4). Suppose 3 = -2*r - s*b + 7, -5*r + 3 = 3*b. What is the hundreds digit of 3 + (r - 7) + 122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(405) + (sqrt(405) + 0)*-2 + (sqrt(405) + 0)*1 - (3 + -2*(sqrt(405) + 1) + -1))**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22)\/(-4) - 1\/(-2). Suppose 4*l + y = -6 + 27, 0 = -l - y + t. Let g(d) = -d + 4*d - 5 - d. Determine g(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*h - 2*h + 3*h)*(169*h**4 + 358*h - 358*h).\nAnswer: 1859*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (15\/25)\/((-6)\/(-750)). Suppose 33*x - o - 57 = 0. What is the second smallest value in x, -0.2, 58?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + -10110111111110101000100?\nAnswer: -10110111111110101000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1716 + 24047\/14. What is the common denominator of f and ((-65)\/(-7))\/(24\/14)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -38 - (7 + 11 + -5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 15654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 11*y**3 + 7*y**2 - 62*y - 32. Let z(f) = -5*f**3 - 4*f**2 + 30*f + 16. Let l(k) = -4*o(k) - 9*z(k). Let g be l(-10). Solve 0 = -2*v - 0*v + g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0*z**3 - 35 - 2*z - 43\/5*z**5 + 179\/2*z**2 + 0*z**4. Find the first derivative of v(j) wrt j.\nAnswer: -516*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-60)\/(-55)) + 6\/(-4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (143\/110)\/(134\/(-4020))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/10 and 37\/382387.\nAnswer: 3823870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1955, 3914, 5873?\n\"Answer: 1959*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from uawhfff?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 2*d**3\/23 + 1352*d**2\/23 + 1338*d\/23 - 8100\/23 = 0.\nAnswer: -675, -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 683.01 take away 9224925?\nAnswer: -9224241.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -49*q - 32. Let s(m) be the third derivative of 0 + q*m + 1\/120*m**5 + 1\/3*m**3 - 7*m**2 + 1\/12*m**4. Find x such that s(x) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffsfpsfdffpfdsfffdp. Give prob of picking 1 d and 3 p.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 10*b - 19 + 14*b - 25*b. Let x be g(-24). Solve 2*o + x + 1 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(-38) - (-1157)\/(-5073). Let n = -0.87 + 0.77. What is the closest to s in n, 5\/4, -1, -3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100122111 (base 3) to base 15.\nAnswer: -213d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 13.99. Let f = 0.010064 + c. Round f to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 29 = 11. Let j(m) = m**3 + 8*m**2 - 19*m + 14. Let w be j(l). Solve -4*s = -3*s - w for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xccdcydxxc. Give prob of picking 2 d, 1 y, and 1 x.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*x**2\/13 + 11564450*x\/13 - 2891112\/13.\nAnswer: -2*(x - 1445556)*(4*x - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of -1\/10*b**5 + 0*b**3 + 0*b**2 - 1\/8*b**4 - 3 + 0*b. Find w such that v(w) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 6*i**2 - 21*i - 6. Let a be f(4). Let k(n) = 5*n**2 - 10*n + 6. Let j(t) = -t**2 - t - 1. What is a*j(u) + k(u)?\nAnswer: -u**2 - 16*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1114 - -1519. Does 31 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-18)*z**(-9))\/(z**(1\/5)*z**(-22)))**6 assuming z is positive.\nAnswer: z**(-126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 12 = 0, -5*a = 4*q - a + 4. Suppose -3*k + 4*k = 4*x + 20, 4*x + 36 = 3*k. Let g be q\/16 - 22\/k. Is 0 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t - 1. Let g(r) be the third derivative of -1\/3*r**3 - 1\/120*r**6 + 0*r + 0*r**5 - 9*r**2 - 1\/12*r**4 + 0. What is -3*g(l) + 6*u(l)?\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 42*w**6\/5 + 24*w**5 + 358*w**4\/21 - 80*w**3\/21 + 2*w**2\/7 - 685*w. Factor d(v).\nAnswer: 4*(v + 1)**2*(21*v - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 4:29 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -1. Let r = 1.2 - -0.15. Let a = 0.35 - r. Put -0.1, a, v in increasing order.\nAnswer: v, a, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-5))**43)**(-1\/15)\/((s**(-1)\/(s*s**(3\/8)))\/(s**(-2\/19)*s**(-1\/3)\/s)) assuming s is positive.\nAnswer: s**(2321\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -7*r + 4. Let l(p) = -10*p + 6. Let m(f) = -5*l(f) + 7*w(f). Let y = -1809 - -1814. Suppose y*g - 4*b + 34 = 0, -b - 13 = 2*g - 2*b. Give m(g).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4114103471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25657, 0.014, -3?\nAnswer: 25657","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2606 and 334?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2535050, 10140213, 22815488, 40560875, 63376374, 91261985?\n\"Answer: 2535056*o**2 - 5*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -7496076 divided by 2?\nAnswer: -3748038","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -s + a + 17, 0 = 5*s - 4*a - 67. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a millennium in months?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8176*h = 8158*h + 36. Solve -6*l + 4 = -7*l - h*d, -3*l + d = -16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, 1, -2, -7, -14?\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 35*w**2 + 42*w + 705. Is g(29) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75 = x + 6. Calculate the remainder when x is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a day in hours?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18\/4 + 80\/32. Let t be (4 + (-24)\/w)*7. What is the units digit of ((-380)\/(-16) - -1) + t\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -5, -2 = 5*f - 0*f - 2*z. Suppose f = -16*o + 12*o + 12. Suppose -10*h - 46 = -26. Sort o, h, -3.\nAnswer: -3, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -63, -53, -41, -27, -11, 7, 27?\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 4*x**3 - 4*x**2 + 7*x - 71. Let z(d) = 2*d**3 - 2*d**2 + 3*d - 35. Suppose -87*q - 35 = 52*q + 382. Calculate q*r(h) + 7*z(h).\nAnswer: 2*h**3 - 2*h**2 - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 5. Suppose 3*x + 2*i = 12, -2*x + 0*i = -3*i - 8. What is the lowest common multiple of z and 8\/32 - (-55)\/x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*k + 127*k - 19 = 665. Find v such that 390\/11*v**2 + 0 + 54\/11*v**3 + 2\/11*v**k + 338\/11*v = 0.\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m. Let b be q(-5). Let d(x) = -2*x**2 + 3*x - 3. Let g(r) = -3*r**2 + 5*r - 5. Suppose 0 = -z - 4*a - 7, 2*a + a = z. What is b*d(n) + z*g(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -505 - -505. Let b be 28\/8 - 24\/(m - -8). What is the third smallest value in -0.5, b, 20\/11?\nAnswer: 20\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18313544?\nAnswer: 2, 2289193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) -0.4 (b) -3\/7 (c) 4 (d) 14973\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5 - 4 = 0. Let y = -6 + d. Suppose 121 = y*o + 25. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -19 - 56. What is the remainder when 25*(-24)\/(-60) - -31 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5\/5331 + -1403935\/111951. Let b = m + 112\/9. Let u(j) = 4*j + 1. Let s be u(-1). What is the second biggest value in s, b, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -85 - -176. List the prime factors of w.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 18, 0.5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 10, -7*m - 5*d + 20 = -2*m. Suppose s - 6 = -2*s. Solve -l + s*n - m = 0, 5*n - 16 = -2*l + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 649 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d49 + c58?\nAnswer: 39a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 5*s**2 - 13*s + 1. Let t(w) = w**3 - 6*w**2 + 11*w - 3. Let i(p) = -2*d(p) - 3*t(p). Suppose 2 = 2*z - 2, 3*j + 2*z = 25. Determine i(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 233.093227 rounded to one dp?\nAnswer: 233.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.66 + -3.34. Which is the third smallest value? (a) -0.1 (b) 42 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q. Let x(z) = 54*z + 2536. Determine y(x(j)).\nAnswer: -54*j - 2536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 499.1 - 502. What is w rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -24*t - 1. Suppose -191*j + 25530 = -53*j. What is the remainder when j is divided by w(-2)?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/4 - 5\/2. Let t be (-33)\/(-7) - 4\/(-14). Suppose -6*b = -b + t. Put f, -2, b in decreasing order.\nAnswer: f, b, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trrt when four letters picked without replacement from rtrrrrrtr?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.4 - 1.4. Let l = 3.9 - n. Let m = 0.7 - l. Which is the closest to m? (a) 0.1 (b) 5 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18.3, -14, -4, 2 in increasing order.\nAnswer: -14, -4, 2, 18.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -4) + -1 + 22. Let x be -2*(2 + 98\/(-4)). Let d = x - n. Does 13 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -49*b*q**2 - b*q - 2149*b - 143*q**2*w + 2*q**2 - w wrt q?\nAnswer: -98*b*q - b - 286*q*w + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**4 - 7645596*u**3 + 22936795*u**2\/3 - 1699022*u = 0. Calculate u.\nAnswer: -2548533, 0, 1\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, t: 6}. What is prob of picking 2 h and 2 t?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 10*t**2 + t + 8821. Let p(l) = l**2. Calculate p(x(s)).\nAnswer: 400*s**2 + 40*s + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 54 - 52. Suppose 4*y = c*l + 5*y - 99, 4*y + 132 = 3*l. Suppose 2*k - l + 42 = 0. Solve -2*z + k = z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -18*p + 4 - 22 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8777084*p + 8776544*p = 36180 for p.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 155858099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 4, -4, -2 in ascending order.\nAnswer: -4, -2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j**2 + 3. Let w(q) = -22 + 20*q**2 + 3 + 3. Give -16*d(n) - 3*w(n).\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 488762377 - -0.18?\nAnswer: 488762377.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 5*w**2 - 153*w + 248. Calculate v(0).\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2 + 102*s + 43. Let k be n(-20). Solve 1 + k = 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 11*n**2 + n**2 - 4*n**2. Let f(z) = -2*z + 2. Let x(b) = -1. Let m(g) = f(g) + 2*x(g). Give m(r(v)).\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 9 = -0*t. Let v = 52 - 86. Let d = 37 + v. Solve t*x = d*w + x - 15, -w = x for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.3 - 2.3. Let m = -11 + 12.1. Let y = g + m. Round y to 0 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7684668m to millimeters.\nAnswer: 768.4668","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 7*x + 9. Let l be (-138)\/9 + (-2)\/(-6). Let j = l - -21. What is k(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -26*t + 78. Let m(z) = z - 1. Let n(o) = -2*a(o) - 156*m(o). Let p(j) = 2*j. What is p(n(w))?\nAnswer: -208*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.195417 to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 365 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of s**5\/150 - s**4\/15 + 4*s**3\/15 + 5*s**2\/2 + 6. Let z(w) be the second derivative of j(w). Factor z(a).\nAnswer: 2*(a - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 9:46 AM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 4:11 AM?\nAnswer: 10:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1173474 and 1540080.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16 - 7 + 1199*v**3 + 1033560*v**2 - 1033668*v**2 wrt v?\nAnswer: 7194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from aaaaaadaaadddada.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of 8*z**5\/5 - 32*z**3\/3 - 14. Find the third derivative of i(f) wrt f.\nAnswer: 192*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2126056?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136\/220 + 4\/(-5).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 3 - (-6 + (16 - (22 - (-11 - -11)))).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t + 3*g + 10, 5*t - 11 = 3*g + 9. Let m be (t + 21\/(-6))*2. Let x = m + 9. Calculate the remainder when x is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o + 3*u - 12, 181*o - 183*o + 11*u = 82 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2. Let d = 20 + -12. Suppose -2*l - d = -6*l. Let j(f) = -l*f**2 + f - f. Determine j(s(a)).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d - 3. Let a(r) = -r + 1. Let f(x) = -11*a(x) - 4*n(x). Does 4 divide f(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*4\/(-24))\/(-1)*-9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 15*g**2 - 10*g. Let y be d(-10). Let i = y - -732. What are the prime factors of i?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqt when three letters picked without replacement from {t: 3, l: 9, f: 2, q: 3}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3.9001 + 0.0999. Which is the second smallest value? (a) -0.1 (b) u (c) 3\/4 (d) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 470 and 200?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 298, 300, 292, 268, 222, 148?\n\"Answer: -j**3 + j**2 + 6*j + 292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1823550264.\nAnswer: 2, 3, 25327087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-17))**(-1\/4)*t**35\/(t*(t**(-31)\/t)\/t) assuming t is positive.\nAnswer: t**(285\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -44723543, -89447077, -134170611, -178894145, -223617679?\n\"Answer: -44723534*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -4*t**4 + 13*t**3 + 6*t**2 - 18*t. Let m(j) = -22*j**4 + 66*j**3 + 30*j**2 - 90*j. Let f(g) = -3*m(g) + 16*x(g). Factor f(c).\nAnswer: 2*c*(c - 1)*(c + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times -8\nAnswer: -0.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u - 2 + 2 + (-4*u - 17*u + 9*u)*(-2 + 1 + 2)*(-1 + 1 - 3).\nAnswer: 35*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-5))\/((-404)\/(-303))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/129084865 and -123\/130.\nAnswer: 258169730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 13 (b) -4 (c) -1.5 (d) -2\/11 (e) -1\/4 (f) -0.39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (5 - (5 - 6)) - (-152 + -25 + 23)?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1369 + -1369. Let g = 36 + -36.6. Let h = 2 + -2.4. Sort g, 0.4, h, x in descending order.\nAnswer: 0.4, x, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 308, 2320, 7752, 18314, 35716, 61668, 97880, 146062?\n\"Answer: 285*r**3 + 17*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from ddddwddwwwddddmwdww.\nAnswer: 77\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 22302024 - 3412?\nAnswer: 22243112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186536 is divided by 186531?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/(-4)*2)\/((-10)\/(-80)). Suppose 0 = 5*l - 25, x*l - 20 = -0*o - o. Solve o*w = -5*w + 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*l + 584*l**2 - 602*l**2 + 2 - 37*l in the form f + k*l**2 + t*l and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 1 = -3. Suppose -w + 3*t + 45 = p*w, 2*t = -w + 21. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4365 * -0.4\nAnswer: 1746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/2 + 5\/18. Let v be 116\/36 + 12\/(-4). Which is the second smallest value? (a) 4 (b) v (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 598?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l. Let i = -1 - -5. Let y be q(i). Let z be (-7)\/(-4) + (-1)\/y. Sort 5, -4, z.\nAnswer: -4, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 2)*(4*j - 4*j - 2*j)*(-4*j**3 + 6*j**3 - j**3).\nAnswer: 6*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (30\/12*(-26)\/2990)\/(2\/(-8))?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4109 and 63362541?\nAnswer: 443537787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -140 (b) -1 (c) -1\/51 (d) 1\/7 (e) 0.2 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 439*l - 364*l + 4857 - 1707 = 0 for l.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5682224659.\nAnswer: 47, 120898397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 4*p = 44105 - 44113, 4*j + 19 = -p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of -9*a**4\/28 + 2*a**3\/21 + 9*a**2\/14 - 2*a\/7 - 7. Suppose f(h) = 0. Calculate h.\nAnswer: -1, 2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 477*w**2 + 54365*w - 1491. Calculate a(-114).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176630576 is divided by 30?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32681\/5 + -6626. Let v = s - -2909\/30. Calculate the common denominator of 43\/3 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -167\/4 + 41. What is the common denominator of (2 - (-136)\/(-12)) + 4 and l?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 98.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2159 by 127.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, 186, 9, -4, -109?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.4, 0, 0.08, -2\/11?\nAnswer: -3.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-4))\/(666\/(-888))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -6*b. Suppose 20 = -4*w + 4*o, b*w + 4*o = w + 20. Suppose -3*p + d + 85 = w, 5*p - 2*d = -7*d + 175. Is p a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjjj when four letters picked without replacement from jhhhhhjhjhjiijh.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 116.912 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-14\/5)\/u)**(-28))**(-35\/2) assuming u is positive.\nAnswer: u**(-1862)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 101899 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 42913 - -2?\nAnswer: 42915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g - 55 = 16*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 100*a**2 - 109 + a + 109. Let u be b(-1). What is the common denominator of -16\/9 and 3\/(-27) - 133\/u?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-39)\/78)\/(3*15\/36)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhg. What is prob of picking 2 h?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.18 and -0.0045.\nAnswer: -0.05031","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(351)*-3)\/(sqrt(6)\/(sqrt(2)*2) + sqrt(108)).\nAnswer: 36*sqrt(13)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**2 + 5*n**2 + 23*n - 12*n**2 - 2743*n**3 - 24*n.\nAnswer: -2743*n**3 - 2*n**2 - n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -16\/3, 148, 0.3, -1018.\nAnswer: -1018, -16\/3, -3\/5, 0.3, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a hour in minutes?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 6 - 6 + 11)*(1869451 - 1869451 + 569*s) as c*s + t and give c.\nAnswer: -3414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 101, 95, 77, 41, -19, -109, -235?\n\"Answer: -m**3 + m + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 6:10 PM?\nAnswer: 8:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13.33 + -8.22. Let q = 1.11 - 1. Let g = q - t. Which is the second biggest value? (a) -0.2 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s**0\/s))**(-2)*s**(-1)\/(s\/(s*s**(-1\/8)*s*s)*s) assuming s is positive.\nAnswer: s**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -41664, 11, 28, 0 in ascending order.\nAnswer: -41664, 0, 11, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 145145?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 4. Let s = 219 - 214. Put p, -3, s in ascending order.\nAnswer: -3, p, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*u = -99*u + 4*l + 984, 0 = 4*u - 4*l - 792. What is the remainder when 2303 is divided by u?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 PM and 9:42 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = -32*x - 50*x + 2123 for x.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 7984.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9599*a - 738011 = 356275 for a.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -103*y - 514*y = -1195*y + 46*y + 66500 for y.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/44)\/((-147)\/(-35) - (-4)\/(-20)).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g - 277 = -3*j - 22*g, 178 = 2*j - g. Suppose -738 = -100*n + j*n. Calculate the remainder when 401 is divided by n.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12462?\nAnswer: 2, 3, 31, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -7\/12*s**4 + 11\/6*s**3 + 8*s - 11\/2*s**2 + 0. Let w(y) = 3*y**2 - 5*y + 5. Calculate -4*p(h) - 9*w(h).\nAnswer: h**2 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -5\/6, -1\/28, -3?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1143615 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 21 = -x, 2*i + x = -0*i - 15. Let t be (-1*4)\/(i\/(-9)). Let b(p) = -p**2 - 6*p + 12. Let o be b(t). Solve 4*g = g - o for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 0.5, -2\/13, 1\/13, -4.\nAnswer: -4, -2\/9, -2\/13, 1\/13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 24554659 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7 + -5 + (1 - 0). Suppose -4*x = 4*t - 588, z*t = 3*x + x - 560. What is the greatest common factor of 13 and x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4643350 is divided by 165.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6758 + -3668. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of -n**3\/6 + 13*n + 2. Let o(r) = r**2 - 3*r + 1. Give 6*a(c) - o(c).\nAnswer: -c**2 - 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**3 + 4*d - 19. Let z(y) = 11*y**3 - 9*y + 38. Let a(v) = -9*g(v) - 4*z(v). What is the derivative of a(k) wrt k?\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 58*p**2 + 41*p + 10. Let d(w) = -50*w**2 - 42*w - 8. Calculate -6*d(u) - 5*m(u).\nAnswer: 10*u**2 + 47*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 133 = 4*n, -74*v - n = -69*v - 199. Calculate the remainder when 1436 is divided by v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:38 AM and 11:34 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h - 1302 = -58*h. Suppose 3*w - 277 = 2*a, -2*w + 275 = w - 4*a. What is the highest common divisor of w and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 602*b**2 - 1 + 2*b + 2*b**3 + 602*b**2 - 1202*b**2. Calculate j(2).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2966662453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -70 + 7*k**3 - k + 3813560*k**4 - 3813551*k**4 - 8*k**3 as c + a*k**3 + o*k + w*k**4 + z*k**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(((-18)\/(-2))\/9).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4032452*t**4 + 2*t**3 - 3*t**2 + 2*t - 1375192 wrt t.\nAnswer: 48389424*t**2 + 12*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2032, -1928, -1728, -1384, -848, -72, 992, 2392?\n\"Answer: 8*p**3 + 48*p - 2088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkyk when four letters picked without replacement from {k: 4, y: 3, q: 7, p: 4}?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - -15. Suppose 3*t = o - 8. Is t <= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o - 3*o - 192816*o**2 - 31012*o**2 + 1 + 4*o.\nAnswer: -223828*o**2 - 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 68130?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -5, -29, -63, -107, -161?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 12:56 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 9:15 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/15, -5\/4, 3, -561, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) + sqrt(170) + sqrt(170) + 1*-2*sqrt(170) + -6*-2*sqrt(170))*-2)\/(5*1*sqrt(160)*-3).\nAnswer: 13*sqrt(17)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 41 = -2*r, 0*r + 62 = -2*r - 2*c. Let w = 31 + r. Solve -5*l = -3*p + 23, 0*p - w*p = 5*l + 17 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17556)\/(-484) - (-663)\/(-17)?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that m**5 + 57*m**4 + 767*m**3 - 825*m**2 = 0.\nAnswer: -33, -25, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -14*a**2 + 15*a - 5. Let w(l) = 14*l**2 - 14*l + 6. Let c(o) = 5*w(o) + 6*z(o). Find the second derivative of c(v) wrt v.\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9712667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12 + 12 - t**2 + (24 - 24 + 2*t)*(1 - 1 + 2*t) - 2*t**2 + 12*t**2 + 20*t**2.\nAnswer: 33*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3\/13 - 140*p**2 + 3646*p\/13 - 1824\/13.\nAnswer: -2*(p - 1)**2*(p + 912)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*h*m**6*z + 2*h + 262*m**6*z + 531*m**2*z + m**2 wrt m?\nAnswer: -360*h*m**3*z + 31440*m**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 15833999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -98688 by -428.\nAnswer: 24672\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 23121, 23122, 23123, 23124, 23125, 23126?\n\"Answer: w + 23120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2668 plus -0.04?\nAnswer: -2668.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 + 11. Suppose 4*k + 5*f - 4 = -17, 4*k - 3*f - 27 = t. What is the second derivative of -k*v + 3 - v**3 - v**3 - 3 wrt v?\nAnswer: -12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29586187*i**3 - 366*i**2 + 5239*i + 2?\nAnswer: 177517122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*i + 1024399 = 1025743 for i.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -1 + 4, 2*c = -3*h + 15. Let g = 9 + -31. Calculate the remainder when c is divided by 16\/14*(-77)\/g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-284)\/138 - -2)*6. Let c be 2*(5\/((-3680)\/1068) + 5). Let g = c + r. Calculate the common denominator of g and -83\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 PM and 11:58 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78359174?\nAnswer: 2, 1367, 28661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 - ((-52)\/(-286) - (-553)\/(-77)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 3617\/22070?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1686063 * 0.02\nAnswer: 33721.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 6.1\nAnswer: -1.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*k**2 - 16\/15 - 4\/5*k.\nAnswer: -2*(k + 2)*(k + 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (72\/(-8) + 2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44529 + 217*q**2 + q + 44529.\nAnswer: 217*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1)\/((-12)\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 304 and 18154272?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101101000111011100100 + 1111?\nAnswer: -10101101000111011010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-8 - 21504\/30)\/((-147)\/(-50) - 3).\nAnswer: 2, 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1011101 + 0?\nAnswer: -1011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(392)*1 - sqrt(392))*-3)\/(sqrt(7) - (sqrt(7) + sqrt(63))*-4))\/(2*(sqrt(200)*1 + sqrt(200)) + sqrt(200)*-1*5))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 2*d + 2455. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 78 + -74. Suppose 0 = 7*g - b*g - 93. Suppose 4*t = 113 + g. Is t a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.37 - -0.97. Round v to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22.82 + 21.82. Which is the smallest value? (a) -0.06 (b) -4 (c) 10 (d) 0.2 (e) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**2 + 2*o**2 + 3*o**2)*(1410891 - 1410891 - 5237*o).\nAnswer: 5237*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x**2 - 5555*x + 3*x**3 + 2758*x - 4*x**3 + 2774*x. Give v(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-4 + -1 - 7 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-3 + (sqrt(1216) + 0 + sqrt(1216) + -1 - sqrt(1216)) - 3*(-2*sqrt(1216) + sqrt(1216) + -4))*6)**2 + 0.\nAnswer: 18816*sqrt(19) + 702817","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 12*d - 3. Let j be l(-11). Suppose 7 + j = -3*p. Let u = 2 - 1.9. What is the nearest to 0.1 in p, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8645 + 8696 - 4712 = 422*s - 6783 for s.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n - 58. Let x be j(25). Let b be x*(-2)\/16*-4. Let w(f) = -2*f**3 - 5*f**2 + 6. Let s(i) = -i**3 - 4*i**2 + 5. Calculate b*w(h) + 5*s(h).\nAnswer: 3*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00081290429 to six decimal places.\nAnswer: 0.000813","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 173369?\nAnswer: 7, 24767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -6*v - 8. Let z be s(-3). Solve -w = -5 + z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6453797110 - -89.\nAnswer: 6453797199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 + -6. Suppose 6 = 2*b - g. Calculate the remainder when 5 is divided by b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**4\/2 + 7*l**3\/6 + 3*l**2\/2 + 13*l - 2. What is j(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 874229 to the power of 1\/2, to the nearest integer?\nAnswer: 935","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77 + 14*w**2 + 38 - 25*w + 39.\nAnswer: 14*w**2 - 25*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + q - 5, 0*q + 3*q = 6. Which is the nearest to 20? (a) -5 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21500448 divided by 3\nAnswer: 7166816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d. Let k(s) = -3*s + 7 + 7*s - 7. Determine j(k(i)).\nAnswer: 16*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 4248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9332091 to the power of 1\/3, to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 522\/24 - (217\/(-28))\/31?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3066122860 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8\/15 of a minute?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -22 + 24. Suppose k - 3*f + 2*f = c, -k - 2*f + 2 = 0. Solve k = -2*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -828049 + 828051. Factor -10*l - 1\/2*l**3 + 9\/2*l**i + 6.\nAnswer: -(l - 6)*(l - 2)*(l - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 b when three letters picked without replacement from {b: 9, f: 3}?\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 109 - 109. Let q = 3 - 2. Let b(x) = -x**3 - 6*x**2 + 2*x + 7. Let m be b(-6). Sort q, a, m in increasing order.\nAnswer: m, a, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**2 - 23*c + 58. Calculate v(4).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {l: 1, g: 1, p: 5, m: 4}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/((-130)\/3)*-2.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*0.067.\nAnswer: -1.809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + j = 8, -2*l + 52*j - 55*j = 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 3*f = 3*y - 1, 0 = -3*y + 3*f + 27. What are the prime factors of y + -8 + 2*(-279)\/(-2)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/7 + (-27)\/(-21))*52. Let j = z + -58. Let i = j + 26. What is the greatest common factor of 180 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5611 is divided by 700.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53158 is divided by 26570.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/((-2)\/24). Let q(u) = -5 - 8*u + 15*u**2 - 6*u**2 - 10*u**2. What is q(k)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y**2. Let m = -11 - -17. Let o(a) = -9*a + m*a + 0*a + a. What is v(o(u))?\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 170151491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 176 - 172. Suppose -w*s = -4 - 20. Solve s*g = -24 - 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1492*y + 1440 = -1468*y. Suppose h = 5*a - 6 + 62, 0 = 5*h - 2*a - 257. Let k = y - h. Calculate the remainder when k is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 4*g. Let b(q) be the second derivative of 22*q**3\/3 + q**2 - 178*q. Calculate a(b(i)).\nAnswer: 176*i + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 40868359 to the nearest integer?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*n**2 + 20 - 63*n**2 - 20.\nAnswer: -53*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3404421320 (base 5) to base 9\nAnswer: 15087703","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13753*z + 347944 - 600019 = 285576 + 356294 for z.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2028046*b**2 + 313*b - 1393 wrt b?\nAnswer: 4056092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 3:20 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.5, -2, 24 in increasing order.\nAnswer: -2, 1\/3, 0.5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 2*l**2 - 4*l + 3. Is u(4) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/267 and 26\/9.\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(110)\/(-5*sqrt(30)\/sqrt(3)))**2*2 + -4 + 3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 121279028*f**4 + 29*f**2 - 1777569*f?\nAnswer: 2910696672*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 16 = -s. What are the prime factors of (4 - 8)*(-10)\/s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -149080 rounded to the nearest 10000?\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 y when three letters picked without replacement from {a: 1, t: 1, o: 1, k: 3, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*((2*(6*sqrt(114)*-1 + sqrt(114) + sqrt(114) - sqrt(114)))\/((-2*sqrt(144)\/sqrt(4))\/sqrt(6)) + 3).\nAnswer: 10 + 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 6*k + 39 + k - 4 - 4*k. Let j be b(-11). Find u such that 40*u**j + 49*u**3 + 31*u**3 - 123*u + 48*u - 45 = 0.\nAnswer: -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 20. Let y = -6028.9 - -6029. Let s = -89\/3 - -29. Which is the closest to s? (a) -0.1 (b) l (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7259.026 millilitres to litres.\nAnswer: 7.259026","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3004077 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5143*u**5*w - 2*u**4*w - 7*u**2*w + 2*u**2 - 362*u wrt u.\nAnswer: 308580*u**2*w - 48*u*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + d - 4. Solve 5*s + 3*o - 7*o = -20, -d*o = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 2.43513 grams?\nAnswer: 0.00243513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oortrrrrrrrrwtrwworr. What is prob of sequence oor?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/211 in -1\/3, -0.4, -26\/7, -1, 2, 0.37?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w - 28*w - 128*w.\nAnswer: -155*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -3*q**5\/5 - 5*q**4\/12 - 268*q. Let u(p) = p**3 + p**2. Determine -2*o(a) - 10*u(a).\nAnswer: 14*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 62?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 205 is divided by 51.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of 3*d**5\/35 - 9*d**4\/28 - 4*d**3\/7 - 14. Factor c(w).\nAnswer: 3*w**2*(w - 4)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 1968687?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3592218 + 3592218 - 32*x. Let a(l) = -187*l**2. Give a(t(v)).\nAnswer: -191488*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**41*n**(-5)\/n**(3\/2) assuming n is positive.\nAnswer: n**(151\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.32 in 24, -3\/4, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 141960540?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 132*c - 679. Let y be q(3). Which is smaller: y or -281?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.06 + 0.46. Let r = -0.21 + -8.79. Let p = r - -9.2. What is the third smallest value in 5, p, y?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -9*i - 1. Let x be z(-4). Suppose -53 = -s + 5*m + x, 0 = -m + 4. Calculate the remainder when (-4)\/18 - (-4776)\/s is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 19, 117, 275, 493, 771, 1109?\n\"Answer: 30*n**2 + 8*n - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42738*c**2 + 59*c - 277?\nAnswer: -85476","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*i - 3*t - 2*t, 0 = i - 2*t - 5. Solve -5*a + i = f, 4*f = a - 1 + 3 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a - 29*a - 15 = 3*y, 0 = 3*y + 2*a + 19 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -223 + 2499?\nAnswer: 2276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -355924047 or -355924049?\nAnswer: -355924047","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 447\/9 + 2\/6. Let i be ((-825)\/h)\/(1\/(-8)). What is the highest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**3 - j. Give a(-2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-145*o**3 + 3*o**2 - 2*o**4 + 135*o**3 - 2*o**2)*(-2*o + 1 - 1 + (0 + 2 - 4)*(-2*o + 4*o + 0*o)).\nAnswer: 12*o**5 + 60*o**4 - 6*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 801 divide 456938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - 11*i - 5. Let c be x(-5). Suppose 2*u + d - 34 = c, u - 5*d = -u + 10. Sort 5, 0, u in decreasing order.\nAnswer: u, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -144790140 divided by 5.\nAnswer: -28958028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2\/2 + 21565068*l - 77508692974104.\nAnswer: -3*(l - 7188356)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -10*u + 8. Let p be (-16)\/(-20)*(-8 - -3). Let w be t(p). Calculate the greatest common factor of w and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524*m + 4*h = -525*m - 2, m = h + 8 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/28? (a) -2\/15 (b) 0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 186 and 4385049138.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -753.7 to the nearest ten.\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -68 + 71 + (-8 - -3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 2. Suppose 3*k + 2*k = 15. Let d be t(k). Let i = 14 - d. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53923.\nAnswer: 53923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the second derivative of j**4\/4 + j**3 + 3*j**2\/2 + 6*j. Factor c(l).\nAnswer: 3*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -363.928 to the nearest ten.\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 203148 and 5445?\nAnswer: 11173140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -c + a, 2*c + 2*a = -8. Which is smaller: c or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -30655*p + 30655*p + 708*p**2. Let s(c) = 11*c. Determine y(s(u)).\nAnswer: 85668*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/24)\/((-15)\/9)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -195 + 203. Suppose 0 = -a*b - 42 + 386. Suppose 5*y - 636 + 6 = 0. Calculate the remainder when y is divided by b.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2410 less than 2410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1813333 divided by -49009\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5945\/533 + 23 - 34. Let o(q) = -q**2 + 4*q - 3. Let g be o(5). Which is the smallest value? (a) -1\/3 (b) g (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3 - -2)\/(1\/12). Let i be ((-9)\/u)\/((-2)\/(-8)). Suppose -3*m - 24 = -i*s - 0*s, -4*s + 8 = 2*m. Does 2 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3843.9 + -3843.8. Sort 5, r, -337\/5.\nAnswer: -337\/5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m - 99. What is the remainder when o(25) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 27014100 to the nearest one hundred thousand.\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -4*t - 9. Suppose -2*v = -2*r + 18, r + 6 = 13*v - 17*v. Let a(m) = -3*m - 9. What is v*a(z) + 2*k(z)?\nAnswer: z + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -259740*f*u**2 - 543*f - 136*u - 2 wrt u.\nAnswer: -519480*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10153 = 1073*i - 27619 - 20089 for i.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-94 + 6)*5\/4. Let h = p - -168. Calculate the remainder when 171 is divided by h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -10*h**2 + 61*h + 2473. What is o(-13)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41484461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11628241, 23256482, 34884723, 46512964, 58141205?\nAnswer: 69769446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.8, -7, 37, 0, -5 in increasing order.\nAnswer: -7, -5, -3.8, 0, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 855 = 3*w - y, 4*y + 570 = 3*w - w. Suppose w = x + 4*x. Suppose 205*q - 2130 - 1670 = 5*q. Calculate the highest common divisor of q and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64224 rounded to the nearest 1000?\nAnswer: -64000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -239, 0, -4, 37\/12, 26\/19 in increasing order.\nAnswer: -239, -4, 0, 26\/19, 37\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/1168 and 35\/260829.\nAnswer: 4173264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + 5*r**2 - r - 4. Let g be t(5). Let i = 1 - g. Suppose 0*k + 5*k = 95. What is the remainder when k is divided by i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 2. Let b(r) = -2*r + 4*r**u + 0*r**2 - 2 + 0*r**2. Let d be (-9*(-4)\/(-10))\/(20\/(-50)). Let l(g) = 17*g**2 - 9*g - 9. Determine d*b(a) - 2*l(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*c**3 + c**3 - 4*c**3)*(8*c - 2*c - 2*c) + c - 2*c**4 - c + (-3*c + 3*c - c**2)*(2*c**2 - 5*c**2 + 5*c**2) - 2*c**4 + 4 - 4.\nAnswer: -18*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(198)\/(sqrt(36)\/sqrt(4)))\/((sqrt(8) - (-4*sqrt(8) - sqrt(8)))\/sqrt(4)))**2 + -3.\nAnswer: 167\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3100\/3 + 1034. Let p = -2.1 + 5.1. Which is the closest to i? (a) 5 (b) p (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by 506621.\nAnswer: 39\/506621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0*4\/(8\/(-1)). Suppose 2*h - 7*h + 20 = d. Is (h + -3)\/(1\/27) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 4*z + 18 = 0. Let u(q) = -2*q**3 - 15*q**2 + 3*q - 96. Calculate the smallest common multiple of z and u(-9).\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3, -9, 0.3, -1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 480529*a**4 - 100479 with respect to a.\nAnswer: 1922116*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 135672 divided by 12\nAnswer: 11306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -49*h**2 + h. Let v(y) = -10*y. Calculate v(b(o)).\nAnswer: 490*o**2 - 10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/5, -3.641, -2, -1\/3, -1.37, -4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17624 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 2*x - 11. Let p be k(17). Suppose 26*t - p*t = 144. Calculate the greatest common factor of 120 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0*f. Let v be (-2858)\/56 + 4\/14. Let q = 51 + v. Which is bigger: q or f?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 + -9990.\nAnswer: -9989.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 n when two letters picked without replacement from nnnnnnnnnnnxnnxxnxn?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1633 + 2510. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -11*h**3\/6 + h**2\/2 + 6*h - 4. Let g(i) be the first derivative of d(i). Is g(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -552494151.6\nAnswer: -552494151.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x + 1. Let k(o) be the first derivative of -7*o**2\/2 - o + 175. Determine k(y) + 4*u(y).\nAnswer: -3*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*r + 68*r = 2*n - 73*r - 12, 5*n = 16*r + 42 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 712 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/2 + (-48)\/16)\/(-1). Solve 0 + w*k**2 - 1\/4*k**3 - 1\/4*k = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2339929, -17, -2 in increasing order.\nAnswer: -17, -2, 2339929","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u*u**(-9)))\/u)**16 assuming u is positive.\nAnswer: u**144","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 21 = -5*q, 0*q = -2*w - 3*q + 16. Solve -w*c + 4*c = -40*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*((u**(2\/3)*u)\/u)\/u)\/u*u**(2\/7))**(-12)*((u**(-1\/4))**(-2\/31))**4 assuming u is positive.\nAnswer: u**(-2466\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977292?\nAnswer: 2, 3, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3137434 (base 8) in base 6?\nAnswer: -25523220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*z**3 - 15*z**3 - 11*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 1699726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26151, 25996, 25829, 25644, 25435, 25196, 24921, 24604?\nAnswer: 24239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 18*s**2 + 23*s + 6. Let o be h(17). Suppose 4*b = -2*b + o. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/35 and 133\/170.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1760, 1773, 1780, 1781, 1776, 1765?\n\"Answer: -3*y**2 + 22*y + 1741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5813 is divided by 637.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-5)\/t*t\/(t*t\/(t**(1\/22)\/t)))**(-5)*(t\/t**(-1\/10)*t**(1\/4))**(-39) assuming t is positive.\nAnswer: t**(-2833\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b + 4*b**3 + 0*b**3 - 2*b + b**3 + 4*b**3 - 3*b**3 + (21 - 21 - 12*b)*(5*b - 2*b**2 - 5*b).\nAnswer: 30*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 6133 - 6118 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-360)\/1165*(-162)\/(-216). Which is smaller: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73872 divided by 972?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*(n**(-4)\/n)\/n*n*n)**22\/(n**(1\/4)\/(n*(n*n*n\/((n**(-2\/3)*n)\/n)*n)\/n*n)) assuming n is positive.\nAnswer: n**(-727\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103280452?\nAnswer: 2, 11, 2347283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30) + (sqrt(150) + (2*sqrt(150) - sqrt(150)))\/sqrt(5))\/(sqrt(6) + 4*(sqrt(6) + sqrt(6) + sqrt(96) + sqrt(6) - sqrt(6))))**2.\nAnswer: 9\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n, 1 x, and 1 j when four letters picked without replacement from xnxnjjjj?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -6 - -17 - 25 - (-77 - 2).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4960 in -0.8, -0.4, 60, 0.5?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 263 a factor of 377405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3511*p - 92 = 3507*p for p.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3893578 - 1221*s + 3893578 to g + d*s and give d.\nAnswer: -1221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526277956.\nAnswer: 2, 2213, 59453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58895997*f**2 + 2*f - 695590417?\nAnswer: -117791994*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.258491 and 249?\nAnswer: 248.741509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -45 - (155 + -254)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, 1\/2, -11.\nAnswer: -11, 0.3, 1\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 40 = 5*n, -4*p - 653 = -633 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 27, -68 in decreasing order.\nAnswer: 98, 27, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2444 - 1277. What is the thousands digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7*u - 10. Let o be n(6). Suppose 0 = 2*g - 3*g - o. What is g rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n**3 - n**2 - 8*n - 4. Let i(q) = 17*q**3 + q**2 + 15*q + 9. What is 4*i(j) + 9*m(j)?\nAnswer: -4*j**3 - 5*j**2 - 12*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/9 - 7358*d**2\/9 - 599836*d\/9 - 10428400\/9 = 0. Calculate d.\nAnswer: -3596, -58, -25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1095 and 336673445?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + 2*b + 0*b)*(-83 + 74 - 5*b + 4*b + (-5 + 3 + 3)*(2*b - 3*b + 3*b)).\nAnswer: -3*b**2 + 27*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1481, 5935, 13417, 23975, 37657, 54511, 74585?\n\"Answer: 8*l**3 + 1466*l**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 6 + 319*s + 0 - s**2 + 4 as q + r*s**2 + p*s and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 3. Suppose -i = 3*i - 12. Let s be m(i). Suppose s = -16*k + 13*k + 15. Solve -k*w = -9 - 11 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 3*n**3 + 3*n - 3\/2*n**4 + 3\/2*n**2.\nAnswer: -3*n*(n - 1)*(n + 1)*(n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 103204.5\nAnswer: -103205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (22\/(-165))\/((-7)\/35)*33\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 3\/5, -4, 4895654?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 2*w - 71. Suppose -2*m - 4*j + 87 = -j, w = m - 4*j. Suppose -216 = -11*s - 18. What is the remainder when m is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652?\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**2 + 6*x + 2. Let b be c(6). Suppose -31*u = -37*u. Solve u = -6*h + b*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffffmpmmfpppgf. Give prob of sequence ppp.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 37*s**2 - 43*s - 260. Give i(-36).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -11*s**5 - 5*s**3 - 5*s**2 - 30*s - 5. Let g(l) = l**5 - l**3 - l**2 + l - 1. Let p(y) = b(y) - 5*g(y). What is the second derivative of p(m) wrt m?\nAnswer: -320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - g - 4*g)*(4 + 3*g**2 - 4) + (5*g - 5*g - 2*g**2)*(3 + 3*g - 3).\nAnswer: -9*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 103 - 58. Does 15 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -280*p**3 + 280*p**3 + 21*p**4 - p**4 + 0*p**4 + 0*p**4 + (0*p**2 - 4*p**2 + 5*p**2)*(-p - 2*p**2 + p) - 2*p**3 + 2*p**3 - 2*p**4.\nAnswer: 16*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -5.6. What is the third smallest value in 4\/7, p, -2\/21?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, -1019, -2, 3 in decreasing order.\nAnswer: 8, 3, 2, -2, -1019","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((6 - 21) + 4 + 14 - -5 - 12)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*j - 2*j + 16. Suppose j*m = 3*m + 27. Suppose 2*g - m = -4*w + 73, -2*g + 110 = 2*w. Calculate the greatest common divisor of 24 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6 + -12)*(-3)\/6. Let u = r + 40. What are the prime factors of u?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 18. Let r(d) = d**3 + 6*d**2 - 19*d - 18. Let t be r(o). Suppose t*i - 3*i - 186 = 0. Is i a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 - 0. Let z(q) = -q**3 - 5*q**2 + 7*q - 1. Let d be z(-6). Let y be (-12)\/63*d\/2. Which is the closest to y? (a) -2\/5 (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 14*o**5 - 3*o**4\/4 - 11*o**3\/3 + 1087*o**2\/2 - o + 992. Find the second derivative of s(r) wrt r.\nAnswer: 840*r**2 - 18*r - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -2. Let k = y - -0.5. Let i = k + -0.50021. What is i rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29346*a**3 + 47289 with respect to a.\nAnswer: -88038*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 10 + 2*f - 10*f - 18 + 3. Let g(v) = -7*v - 4. Let x = -7 + 11. Determine x*i(y) - 5*g(y).\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**3 - 12*j**3 - 11*j**3 + 27*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 11 = -21. Let r = m + 20. Solve r*h - 3*h = 4 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59ac (base 13) to base 6\nAnswer: 134320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**5 - 640*b**4 - 5312*b**3 - 10752*b**2 = 0.\nAnswer: -4, 0, 168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 50319, 100649, 150979, 201309?\n\"Answer: 50330*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.43 - 0.07. Let m = 447 - 466.3. Let d = m - -19.16. Which is the closest to 0? (a) -0.2 (b) h (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 2:58 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16 - 0)*(-150)\/(-40). Let r be (168\/(-10))\/(-4 - 234\/b). Let h = -80 + r. Calculate the remainder when h is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes before 7:46 AM?\nAnswer: 10:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**5 + k**3 - k**2 - k + 1. Let w(m) = -15*m**5 + 65*m**4 - 70*m**3 + 30*m**2 - 10*m + 5. Let a(t) = 5*r(t) - w(t). Factor a(f).\nAnswer: 5*f*(f - 1)**3*(4*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114808 = -3614*s - 87576 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51366*c**2 - 8*c + 471368?\nAnswer: -102732*c - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 687 + 559 - 22*q - 1108. Calculate x(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/48*(-9)\/(-5))\/(67\/103180*56).\nAnswer: -33\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, m: 2, g: 4, t: 1, e: 4}. What is prob of sequence tm?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 308.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 538*l**2 + 694.\nAnswer: 1076*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79611 - -113417. What is the thousands digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 2 + 0*l**2 + 0*l - l**6 + 4\/3*l**3 - 4\/5*l**5 + 3\/2*l**4. Solve c(z) = 0 for z.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + 1.1. Let x be (-18)\/((-810)\/495) + (434\/6)\/(-7). Which is the second biggest value? (a) v (b) 7\/3 (c) -2 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106393 is divided by 558?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -18 - -205?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 597296 divided by 2.\nAnswer: 298648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 2, e: 1}. Give prob of sequence lea.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2611718539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.11, -2\/7, -0.2, -0.4, -2 in descending order.\nAnswer: 0.11, -0.2, -2\/7, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1471\/6? (a) -2\/7 (b) -1.6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 251237 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + 8. Let k be 0\/(-1) + (5 - 1). Let h be x(k). Let z(o) = -4*o + 9*o - 3*o + 1. Let j(m) = -2*m - 1. Give h*z(i) - 3*j(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**4\/4 - 8749*k**3\/4 + 6564*k**2 - k - 8752 = 0. Calculate k.\nAnswer: -8752, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/4 - 24\/(-16) - (6 + (4 - 34))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -92.9323 + -434785.0677. Let s = a - -434878.7999904. Let v = -0.8 + s. What is v rounded to 6 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.01*-4258\nAnswer: 34106.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 2 + -2 + 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -904, -1811, -2710, -3601?\nAnswer: -4484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/55*(-400)\/10?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -24*d**4 + 3*d**3 + 3. Suppose -2*z - 25 = 4*s + z, 0 = z + 3. Let b(r) = 24*r**4 - 4*r**3 - 2. Let o(j) = s*v(j) - 3*b(j). Differentiate o(a) wrt a.\nAnswer: 96*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 3. Let g be 15 - (d - (2 - 2)). Suppose g = t - 4*c - 9, c - 3 = -2*t. Calculate the remainder when 5 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -986 divided by 20.\nAnswer: -493\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 9063.\nAnswer: 27189","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 220*u**2 - 23*u + 403. What is the ten thousands digit of a(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b - 16. Let y be (6 - 5) + 2 + (0 - -1). Let f be 154\/(-105) + y\/5. What is the smallest value in f, b, 0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z + 25. Let h be n(-7). Let d be (-516)\/h*(-9)\/6. Let j = d - -27. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-323)\/((-1254)\/66).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*f + 15*f**3 - 14*f)*(0 + 2 - 4)*(-2 + 4 + 1) in the form r + z*f**2 + w*f**3 + n*f and give w.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -3*p**3 + 4*p**2 + p. Let r(z) = 4*z**3 - 5*z**2 - z. Suppose 0 = 5*n - g - 19, 2 = 3*n + g - 3. What is n*j(t) + 2*r(t)?\nAnswer: -t**3 + 2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 4*k - 260, -k - 4*k = -3*s - 293. Let o = k + 69. Suppose -o = -4*y - y. Calculate the greatest common divisor of 39 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -40 - -61. Let r = q - 13. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 11 - 8, 5*g = -5*k + 50. Let o be g\/8 - (-2 + 17\/8). Which is the nearest to 1? (a) -1\/2 (b) 0.7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**(2\/3)\/l)\/l))**19 assuming l is positive.\nAnswer: l**(133\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29375.14 + 409.14. Let o = 28962.00056 + w. Let u = o - -4. Round u to four decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (136\/10 + -16)*100\/(-16).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136147 is divided by 68045?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -21, -210 in increasing order.\nAnswer: -210, -21, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1595633, 5, -1.\nAnswer: -1595633, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/8 - 1276\/(-352).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79.7 - -215.7. What is the nearest to -0.1 in -0.1, -3, k?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5633623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7*((-90)\/(-35) + -1)\/1. Calculate the highest common divisor of s and 154.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 16 = 0, -3*x + 8*x + 5*y - 45 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2862 and 4959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, -674, 2, 4, 0, 1 in ascending order.\nAnswer: -674, -5, -1, 0, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 19*a**2 - 14*a + 18. Let x = 61 + -61. Suppose -5*k - 20 = -0*k, -4*w + k + 76 = x. Is 6 a factor of v(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 918*u**2 - 1821*u**2 + 896*u**2.\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-16)*(58\/(-145))\/(2*13\/(-520))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 + 33*o**2\/5 + 108*o\/5.\nAnswer: -o*(o - 36)*(o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 4 + 8*f)*((-3 - f + 3)*(1 + 3 - 5) + (f - 3*f + 0*f)*(1 - 3 + 1) + 4*f - 2*f + f) to the form c*f**2 + o*f + d and give c.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -262, -339, -398, -433, -438?\nAnswer: -407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 2 + 1 + (3 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 42535932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-63 + 63 + 23*g**4)*(-2*g - 1 + 0 + 0).\nAnswer: -46*g**5 - 23*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 5\/2, -0.19 in ascending order.\nAnswer: -0.19, 5\/2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*i**2 + 68*i**2 - 275*i**2 + 67*i**2 + 65*i**2.\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20486 or -9\/8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 717336 and 4920.\nAnswer: 3586680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -64*b**2 - 10*b + 160. What is o(-4)?\nAnswer: -824","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -6. Let o = -3.9 + t. Suppose 3 = -2*l + 13. What is the closest to 2\/5 in o, 0.5, l?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -93140, 1, 2\/51 in descending order.\nAnswer: 1, 2\/51, -5\/3, -93140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-250)\/(-60))\/(16\/(-96)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 263*u**7\/210 + u**6\/120 + 59*u**4\/3 - 48*u**2. Find the second derivative of o(c) wrt c.\nAnswer: 3156*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*f - 20 = 0, f = 3*y + 8 - 3. Suppose 655 = -y*s + s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -8063, -16126, -24189, -32252?\n\"Answer: -8063*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**5 - 6*s**5 + 3*s**5 + 2*s**4 - 2*s**4 - s**5 + (-2*s - 2*s**5 + 2*s)*(3 + 1 - 2) - s**5 - s**5 + s**5.\nAnswer: -3*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 418 - -920. Let d = c + 569. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 9 + 10. Calculate the remainder when 32 is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 41\/2 of a century?\nAnswer: 24600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bitztttzzyzabzyzt. What is prob of sequence ya?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - q - 3, 6*l - q + 3 = 5*l. Suppose 6*z - 3*z = -3*o + 18, 0 = o + l*z - 3. Solve -3*a + o = 0, -5*c + 5*a - 5 = -0*a for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 5) in base 14?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*y - 40 - 48, 0 = 5*z + 5*y - 150. Let w(m) = 17*m + z*m - 37*m + 19 + 13*m**2. Is w(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2248426201 to the power of 1\/2, to the nearest integer?\nAnswer: 47418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 0.1, -2, 0, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3458 and 665.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2 + 39304*k + 78600 = 0. Calculate k.\nAnswer: -19650, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 24\/(-9) - 2\/(-3). Calculate the smallest common multiple of 18 and 17 + 1\/(d + 1).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12) + 2 + 3 + -1.\nAnswer: 2*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -185?\nAnswer: -189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.09 - 0. Let h = k + 4.09. Let o = -3.89 + -0.11. What is the third smallest value in o, 1\/5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5374, 10770, 16174, 21592, 27030, 32494?\n\"Answer: h**3 - 2*h**2 + 5395*h - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -p**6\/6 + 5*p**4\/12 + 19*p - 3. Let q(k) be the first derivative of h(k). Factor q(j).\nAnswer: -5*j**2*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174444.\nAnswer: 2, 3, 14537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d - 4. Let v(h) = 5*h - 2. Let n be v(2). Suppose 5*l - l + 3*x - n = 0, -3*x = -2*l + 4. Let o be t(l). Solve w = j + o, 2 + 5 = w - 2*j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -6*j + 2*j + 22, 2*j - 3*h = 2. Let t(p) = -8*p + 36. List the prime factors of t(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 23*w**4 + 9*w + 46*w**2 + 15*w**3 + 10*w**4 - 8*w**4 + 2*w**2 = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*y + 4*l + 24, -138*y = -139*y + 4*l + 40 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16.583 + 16.5842. What is the closest to a in 2\/11, -1\/4, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(7\/2))\/((99\/189)\/11).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 2, m: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*n + 18*n - 28*n - 34*n in the form m*n + d and give m.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by (-27 - -28) + 15 + -1?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, 0, -4\/11, -3\/7?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 3*m**2 - m. Let z be f(-3). Suppose 191 = z*x + 50. Suppose -48*o + 214 = -x*o. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 1. Let d(t) = -9*t**2 + 11. Let o(v) = -10*v**2 + 10. Let b(q) = s*o(q) - 6*d(q). Factor b(f).\nAnswer: 4*(f - 2)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 - 40892904*z**2 - 104514554311296*z - 1045141453826560.\nAnswer: -4*(z + 10)*(z + 5111608)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 112 (base 3) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.01789 rounded to 2 decimal places?\nAnswer: -2.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-4))\/(3\/(-786)). Let b = 1181\/9 + m. Let n = 0.08 + 1.92. Is n equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1, -0.1, 51, -5\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1479 is divided by 190.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**2\/4 - 2255*f\/2 + 1017005\/4.\nAnswer: 5*(f - 451)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 2)*(1108*y - 569*y + 468*y).\nAnswer: -1007*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d + 5. Let t(s) = 6*s - 5. Let y(r) = 5*j(r) + 6*t(r). Let u(f) = f + 5. Let w be u(-1). Suppose w*h + 4 = 4. Calculate y(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2994844631 or 1?\nAnswer: -2\/2994844631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*x**2 + 2*x**2 + 106*x**2 + 204*x**2 as q*x**2 + f + l*x and give q.\nAnswer: 287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 - -13) + (-202)\/(-1). What is the hundreds digit of n - (10 + -5) - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/7 (b) -53 (c) 1\/35813\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**5\/7 - 2476*n**4\/7 + 9980*n**3\/7 + 7436*n**2\/7 - 24952*n\/7 - 2848 = 0?\nAnswer: -623, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 4*l + 4 = -3*a, 0 = -2*a + 4*l + 24. Let r be 2*((-2)\/(-3))\/(6\/9). Suppose a*b + 32 = r*m + 2*m, -2*m = 4*b - 6. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1792, 5, 19024 in descending order.\nAnswer: 19024, 1792, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5*c - 2*c = -22, -18 = t + 5*c. Suppose -3 = -t*l + i + 1, -20 = 4*l + 5*i. Solve 2*b - 3*m = -3 + 10, -4*b + 4*m + 12 = l for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45600888857 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -43454 times 0.05\nAnswer: -2172.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -75*r**2*v**6 + r**2*v**3 + 124*r**2*v + 2*r*v**2 wrt v.\nAnswer: -9000*r**2*v**3 + 6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3441216488?\nAnswer: 2, 197, 227, 9619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.1333099 to 2 dps.\nAnswer: -4.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 56*d - 2 + 1 - 3.\nAnswer: -56*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*a**2 + 128*a + 3 + 0*a**3 + 0*a**4 - a**4 - 2*a**3 - 129*a in the form t*a + q*a**4 + k*a**2 + o*a**3 + n and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 26864292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 1710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 59491 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.2026 times 45.55\nAnswer: 9.22843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + (-1 - -4))\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171009072 to the power of 1\/3, to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2a + a48?\nAnswer: a1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6644.106g in tonnes?\nAnswer: 0.006644106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 5475*i**4 - 2343302*i**3 - 7078319*i**2 + 2586*i = 0.\nAnswer: -3, 0, 2\/5475, 431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2)**(-11\/3) assuming n is positive.\nAnswer: n**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2397772283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 4952142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, z: 6, i: 4}. Give prob of picking 4 z.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 747605 + 4?\nAnswer: 747611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.3, -2\/5, -3.24, -0.063 in ascending order.\nAnswer: -4, -3.24, -2\/5, -0.063, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -162 - -164. Factor 0*c - 2\/5*c**l + 2\/5.\nAnswer: -2*(c - 1)*(c + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 15*k**3 + 6*k**2 - 9. Let v(j) = -3*j**3 + 7*j**2 + 13. Let b(s) = 4*s**3 - 10*s**2 - 18. Let u(r) = 5*b(r) + 7*v(r). Calculate -n(x) - 6*u(x).\nAnswer: -9*x**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z + 11. Let j be o(-7). Let v(m) = 3*m**2 + 7*m. Let h be v(-5). Suppose -h*l + j = -37*l. Solve 3*g - 12 = l*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + 5 + (18 - 22).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -178360 divided by -35.\nAnswer: 5096","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.8 in -2\/3, 642, 2\/9, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7623, 15294, 23041, 30894, 38883, 47038?\nAnswer: 55389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - u**2 + u + 38. Let z(v) = 72*v - 8. Let a be z(-1). Let i = 80 + a. What is the tens digit of h(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49139 is divided by 664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -2*i + 5, -i - 30*i - 877*q - 89 = -880*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6\/5 (b) -12940 (c) 1\/6 (d) -13\/4 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 0*s = 0, 2*x = 3*x + 5*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -3*i**4\/4 - i**3\/3 + i**2 + 8. Give p(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3762587 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1302.7 - -1251. Let q = m + 54. What is q rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 148 = -4*w, -6035765*b + 6035761*b + 31 = w for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l = 15*l - 418. Suppose 3*x + 5856 = l*x. What are the prime factors of x?\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*z**2 + 3 - 3*z + z - 37*z**2 + 3*z**3 - z**3 to q + j*z**2 + y*z + a*z**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + o + b = -2, -2 = o + b. Solve 0 = 3*k - a - 4*a + 9, -4*k + 2*a - 12 = o for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 637.2 + -712. Let s = -74.77255 - q. What is s rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d*i**2 + 12*d*i - 62*d - i**2 + 61347 wrt d.\nAnswer: 5*i**2 + 12*i - 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/8 + (-159)\/4. Let d be u\/(-42) + (-4)\/6. Is d at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + (-15 - -4) + 24.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -11566?\nAnswer: -3469.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1205514 (base 6) to base 12\nAnswer: -3089a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1538 equal to -1536?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-257)\/(-24))\/(1\/9). Let h = 96 - w. What is the nearest to 0.1 in h, -4, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23378, -89341, -199280, -353195, -551086, -792953, -1078796?\nAnswer: -1408615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 7) in base 8?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 151 divided by -151?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 119 divide 2048495986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -92 - -95. Suppose -724 = -2*n + v*d, 0 = -4*n - 2*d - d + 1412. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p - 1 = -j, -3*j - 5 = -5*p. Suppose 3 = p*r - 5. Solve 0*f + 5*u = -2*f + 2, 0 = -3*f - 5*u - r for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v - 3. Let g be y(-5). Suppose -g*d = -0*d. Factor -6 + d - 9*x - 15*x**2 - 3*x**3 + 33.\nAnswer: -3*(x - 1)*(x + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 615, -4, 36, 5 in increasing order.\nAnswer: -4, 5, 36, 615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/4 - (-145)\/(-1044). Which is the second smallest value? (a) 0.4 (b) h (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*o**3 - 5*o**3 - 18 + 41 - 5 + 28*o**3 - 18.\nAnswer: -21*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 - -1 - (715 + -741 - (-1 + -13)).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yaaydivri. Give prob of sequence ia.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, d: 9, e: 1}. Give prob of sequence te.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.032378 and -9.15702.\nAnswer: -9.124642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 4547.\nAnswer: -4542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 PM and 12:02 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 25 = -0. Suppose 4*l = l - 5*y + 35, 0 = l - 5*y - k. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 30. Let h be 2289\/168 + 6\/f. Solve d - 3*d - h = 5*c, -3*d - 4 = -c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 32*f + 57. Let j(p) = -62*p - 115. Let h(a) = -5*d(a) - 2*j(a). Let g be h(-6). Round g to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 7:11 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00028545904373 rounded to six dps?\nAnswer: -0.000285","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - -572016088?\nAnswer: 572016084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -5.2 * 257054.8\nAnswer: -1336684.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 27*a - 1. Suppose 0 = -2*l - 0*l + 10. Let h = l - 3. List the prime factors of y(h).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 55 + -59. What is the hundreds digit of (u*(-4)\/24)\/(1\/762)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/5, 0.3, 422 in descending order.\nAnswer: 422, 0.3, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -246b53c (base 13) in base 12?\nAnswer: -3967897","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -a - 3*h - 13, -5*h = a + 28. Is -0.02 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 0 + 3*i + 13*i**2 + 4*i**2 - 4*i**2 + 8*i**2 as d + n*i + b*i**2 and give d.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -250 - 225. Let l = 871 - k. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 6*k + 12. Give t(9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 15 - 14 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16408 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 37707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3652 and 6500?\nAnswer: 5934500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-445)\/267 - (-26)\/3\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3247, -4, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5206711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, f: 3}. What is prob of picking 1 f and 3 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -705, -1457, -2211, -2967, -3725, -4485, -5247?\nAnswer: -6011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**4\/5 - 30024*r**3\/5 - 56279956*r**2\/5 + 45096048*r - 45120080.\nAnswer: -4*(r - 2)**2*(r + 3755)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112\/3 - -785\/21. Let p be 4\/(-1) + 8 + -2. Suppose -7*s = -5*s - p. Which is bigger: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 4*o - 9. Let s be x(-6). Differentiate -3 + 6*d**s + 3 + d**3 + 3 with respect to d.\nAnswer: 21*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 49 = o, q - 3*o - 17 = -2*o. Suppose 2*j = q - 4. Let x be 20\/60 - 2\/j. Solve x = -5*f + f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -5*v + 3*j, 5*v + j + 1 = -1. Solve -2*r + 7 + 3 = v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the third derivative of 0*s + 8\/3*s**4 + 0 - 512\/3*s**3 - 122*s**2 - 1\/60*s**5. Suppose t(r) = 0. Calculate r.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-26)\/143 - (-2 - 54852\/33). Calculate the greatest common factor of 52 and m.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 108 and 758.\nAnswer: 40932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234328996 and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 25 = -29. Suppose q - 3*o = x*q - 15711, -5*q + 26221 = -4*o. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 124\/217*(-14)\/4. Let o be (272\/(-6))\/(1\/(-6)). Let h be 3 - j\/(o\/(-404)). Is 0 < h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 388\/6 + 1\/3 is divided by ((-17)\/(-68))\/(31\/(-124)) - (-1 + -15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**3 + 11*n**2 + 9*n - 15. Suppose -2*z - 2*m = -7*m + 15, 0 = 2*m - 10. Let s be (11 + -13)*(-1 + z). Let a be j(s). Round a to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16319, 31319, 46319, 61319, 76319, 91319?\nAnswer: 106319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 65 and 9?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 12:23 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 121507 - 146?\nAnswer: 121341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**0)**(-12\/19))**(-7\/4))**(3\/11) assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 - 13238?\nAnswer: -13246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j. Suppose 0*o = 3*z - 3*o - 63, -3*z + 4*o + 66 = j. Solve 7*d + 3*c = 2*d + z, 5*d = -4*c + 19 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 + 10. Let k(g) be the first derivative of -2*g - 1\/2*g**2 - 46 + 4\/3*g**3. Calculate k(w).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5833 by -8.\nAnswer: -5833\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 2*i**3 - 2)*(15*i + 25*i - 26*i + 13*i + 47*i) to the form c*i**2 + a*i**3 + f*i + z*i**4 + r and give z.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 5*r = -456, 10921*n - 551 = 5467*n + 5459*n - 6*r for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 20 = -2*q, -4*v = -v - 12. Let k = q + -11. Let t(w) = 3*w. Let a(s) = 2*s. Determine k*a(m) + 3*t(m).\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -509 + 3968. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 61\/4 of a century?\nAnswer: 1525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x + 12*x = 2*d - 16, 0 = -d + 2*x - 4. Solve 2 = -2*w + 5*h, -4*h = -4*w - 0*h - d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23a5 (base 14) to base 13\nAnswer: 2aa7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -46.28 in -4, -1\/2, -1, 2\/5, -2\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -25936 divided by 190?\nAnswer: -12968\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -5*s - 2. Let i be (8\/(-24))\/((0 - 2)\/(-42)). Let m(g) = -10*g - 3. Calculate i*r(v) + 4*m(v).\nAnswer: -5*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9901764921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(104)*2)\/sqrt(8) + sqrt(52) + 5 + 4 + ((sqrt(91)*-2 + sqrt(91))*3)\/sqrt(7).\nAnswer: sqrt(13) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 1)*1\/2. Solve 0 = 5*x - 3*s - 6, 3*x + 0*x - 4*s + 3 = v for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 532979737*k**2 - 151016079*k wrt k?\nAnswer: 1065959474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*t - 5 = -5*w, 5*w - 2*w + t - 8 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(143) - (sqrt(143) - (sqrt(143) - 6*sqrt(143)*1))) + sqrt(143))\/((sqrt(11) + sqrt(22)\/sqrt(2))*3).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512279?\nAnswer: 23, 22273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70 + 66. Let r = -247\/680 - 1\/85. Sort r, 0.03, l, -2 in descending order.\nAnswer: 0.03, r, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -57352 (base 12) to base 14\nAnswer: -30530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -76143087\nAnswer: -76143082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 48 = 5*t, 2*t + u - 27 + 7 = 0. Let q(w) = 5*w + 2. Let i(k) = -3*k - 1. Calculate t*i(v) + 5*q(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - r + 30 = -6*r, 3*r = -3*i + 3. Let v be 0\/2 + 1 + i. Is 4\/v - (-3409)\/21 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (-13 + 4)) + -15 + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 6 = -i, 0 = i - 0*i + 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 248, -1, 2\/3, -132?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -3 times 119369\nAnswer: -358107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 664 is divided by 9\/72*2 + (-3978)\/(-24).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1923653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-10) - 1)\/(-1).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a micrometer in nanometers?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 980 and 15696?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.8 in -2\/3, 6, 0.34?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 2*p**3 - p**3 + 1040 - 10*p**2 + 759 + 10*p**2.\nAnswer: -2*p**3 + 1799","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zqdo when four letters picked without replacement from {z: 1, q: 2, d: 1, t: 4, o: 4, r: 2}?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11352412 (base 6) to base 12\nAnswer: 152708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -907, -1870, -2831, -3790?\n\"Answer: k**2 - 966*k + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**3 - 15*j**2 - 20*j - 74. What are the prime factors of m(-11)?\nAnswer: 2, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 12:54 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b**3 - 2*b**2 - 6*b + 15. Let s(k) = 13*k**3 - 6*k**2 - 11*k + 29. Let d(a) = -3*s(a) + 5*x(a). Calculate d(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 47783, 5, -109.\nAnswer: -109, 5, 47783","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -305, -1\/481, -19, -1\/3.\nAnswer: -305, -19, -1\/3, -1\/481","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j + 3*r + 18, -2*j - 14 - 4 = -3*r for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/1)\/(21\/132699). Which is smaller: v or 6318?\nAnswer: 6318","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 + -8. Let u = -25 + o. Solve -2*z + u = 4 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 104604219?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -80, -163, -246, -329?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44332257 is divided by 7388709.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 77?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 234 - 228. Let k be (-1)\/(-4) - (i + 63\/(-36)). Which is the smallest value? (a) 4 (b) k (c) 0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/180)\/(36\/(-45)))\/(538\/26631).\nAnswer: 11\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2295 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*u = 2992 + 1392. Let t = 137 + u. Sort t, 3, -56, -5 in descending order.\nAnswer: 3, t, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/(sqrt(12) - -4*(-1*sqrt(12) - sqrt(12))).\nAnswer: -sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nzuq when four letters picked without replacement from nuqnquznnnnqqnnnh?\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in -67, 4, -1, -1\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138500 divided by -4.\nAnswer: 34625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -18. Calculate the least common multiple of v and 1\/(2 + 11\/(-6)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 4:36 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5*i = 2*i. Suppose -3*u + 0*u = i. Is u less than 0.22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxccn. Give prob of sequence nxx.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*k + 2 + (-2*k + 2*k + 2*k)*(1 + 1 - 1) + 3 - 3 + 2*k + 4*k - 3*k + k + 1 + k - 1 + 3*k + 14 - 14.\nAnswer: 12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 5*j = -2*l - 34, 0 = 4*j - 4*l - 40. Solve -3*h + 19 = -5*c, 2*h - j = c + 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2. Suppose 6*s = -8 + 2. Let z(j) = -j**2. Determine s*u(v) + 2*z(v).\nAnswer: -2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/(-40) - 2\/(-8). Let u = 1.56 + -1.5. Sort f, -0.2, 2, u in descending order.\nAnswer: 2, f, u, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*r + 2. Suppose 3*u + r - 16 = 0. Let z = -76 + 91. Solve -u*d + d = z for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1602 or 261?\nAnswer: 261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2842014232 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58.38232 - 58.35762399. Let v = r - 0.0247. What is v rounded to seven decimal places?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -3*g + 1. Let i(l) = l**3 - 7*l**2 - 2*l - 15. Let u(z) = -z**3 + 7*z**2 + 3*z + 14. Let m(b) = 4*i(b) + 5*u(b). Let d be m(8). What is s(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5684 is divided by 224?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 2*p + 0*p)*(p**4 + 3*p**4 - 2*p**4) + (2*p**3 - 2*p**4 - 2*p**3)*(2*p - 2*p - 3*p) + p**5 + 2*p - 2*p.\nAnswer: 9*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4156 = -5*t + k - 4144, 2*t = -k + 16. Which is the closest to 0.0144? (a) -2\/5 (b) 5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 3*t**2 - t + 2. Let p be r(1). Does 16 divide p\/(-30) - (-7212)\/90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592561 divided by -6?\nAnswer: -592561\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 55 and -1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 2:50 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1638 a factor of 135842616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004152864.\nAnswer: 2, 11, 13, 19949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/4 + 8994*n - 4838535\/4.\nAnswer: -(n - 35841)*(n - 135)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p**2 - 2*p - 2*p**3 + 20*p - 2*p**4 + 0*p to r*p**4 + a*p**3 + g + i*p**2 + s*p and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (140\/(-90))\/(63\/(-486)). Solve 3*d + k = 5 - 8, 8*d + 4*k = -g for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 487656412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 4*u**2 - 9*u**2)*(0 + 0 - 1)*(1 + 8 - 1)*(-3 + 3 + u).\nAnswer: 48*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 23 (b) 0 (c) 5.8 (d) -4 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2355*f**4 + 497*f wrt f?\nAnswer: 28260*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 105 divide 23912595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20863\/10 + 2079. Suppose -5 = -0*v - v. What is the common denominator of v\/(-20) + 59\/(-6) and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23498 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/h**5)*h**(-5\/7)*h)\/(h**(1\/8)\/(h*h**(-5\/2)\/h)) assuming h is positive.\nAnswer: h**(93\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 20*u - 10. Is 19 a factor of l(17)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*1.48\nAnswer: -1.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*d**3*j**2 - 33*d**2*j**3 - 3*d**2*j - 137943*d*j**3 wrt d?\nAnswer: 48*d*j**2 - 66*j**3 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -706 divided by -353?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 12\/17 (b) -2\/39 (c) -655 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(396) + 0 + -2*sqrt(396)*5 + -3 + -1*(2*sqrt(396) - sqrt(396) - sqrt(396)))**2 + 1.\nAnswer: 1728*sqrt(11) + 128369","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2117338324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 15. Let n be s(-3). Determine d so that 27*d**2 - 12*d**4 + 33*d**3 - 2*d - 19*d**n - 4*d - 23*d**3 = 0.\nAnswer: -2, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 11*b + 15*b + 6 = 0, -3*g + 4*b = -2. Let c be 0\/(0\/(-1) + 2). Put g, c, 47 in descending order.\nAnswer: 47, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1314\/83 + -118399\/7138. Calculate the common denominator of (10 - -2 - 3)\/4 and u.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1894 (base 15) in base 16?\nAnswer: 14c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, d: 1}. What is prob of picking 2 z?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 17*8\/20 + 2\/10. Solve 5*b - 14 = 4*j, j + 0*b - 3*b + r = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -10*v**2 - 7. Let k be 0 - (2 - 2*11). Suppose -d + k = -5*d. Let f(x) = 7*x**2 + 5. Calculate d*y(s) - 7*f(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -809 not equal to -746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 2782.\nAnswer: 8346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -11100001101110010 (base 2) to base 15\nAnswer: -2439a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 186079\/648 + -428\/81. Let n = u + -276. Let y = 2396 - 43085\/18. Find the common denominator of n and y.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (7*18\/21)\/(2\/1). Suppose -2*x - 7 - 15 = 4*d, -n*d + 4*x - 44 = 0. Let g = -0.8 - -0.3. What is the third smallest value in g, d, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26254572 to the power of 1\/3, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -406757 (base 11) in base 7?\nAnswer: -5360036","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24477, -97929, -220361, -391785, -612213, -881657?\nAnswer: -1200129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 6, l: 1, w: 7}. Give prob of sequence hw.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -31952*u**3 + 131*u**2 + 131*u + 1. What are the prime factors of m(-1)?\nAnswer: 3, 10651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/(-140))\/((-144)\/168)*(-4)\/(-30)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -613472.5 to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 153, 154, 157, 162, 169, 178?\nAnswer: 189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 6 = 2*z. Let d(p) be the first derivative of 1\/4*p**4 + 1\/4*p + 1\/2*p**z + 1\/2*p**2 + 3 + 1\/20*p**5. Factor d(u).\nAnswer: (u + 1)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -0*n - 5*z - 7, -1 = -3*n - 4*z. Suppose 2*j + 2*u + 264 = 6*j, -4*j + 274 = n*u. Is 1\/(((-1)\/(-1))\/j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2206 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 866639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 50\/6 + (-8)\/(-12). Let w = 7 + -4. Let d = w + v. Solve m - 4 = -2*s, 0*s + d = -m + 2*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/15)\/(t**3*t)*t**(-2\/13)\/(t\/((t**(-2\/25)*t)\/t)))\/((t*(t*t**(-1\/4)*t)\/t)**(2\/15)\/(t**(-1\/5)*t**(3\/4)*t*t)) assuming t is positive.\nAnswer: t**(-3619\/1300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i + 4*i**2 - 8*i**2 + 3*i**2 + 24. What is the units digit of z(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3552 divide 1573195008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 13 = -1, 4*r - 5*d = 1696. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14.9510318*-0.7.\nAnswer: 10.46572226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31227 is divided by 3466.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1260 + 1263. Let u(i) = -i**3 + 8*i**2 + 10*i - 1. Let j be u(9). Let c(r) = -10*r + 7 - j - r**2 - 7 + m. Give c(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -413*u - 3. Let b be f(-1). Let r be (-1)\/((-3)\/9 + b\/1212). What is the units digit of (-6)\/(-9) - r\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 - 7*n**2 + 4*n - 2. Is 13 a factor of g(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 485, 474, 3, -13, -1, -5 in increasing order.\nAnswer: -13, -5, -1, 3, 474, 485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57 + (-12 - 42 - -61).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 5*c - 5. Let o = -13 + 6. Let v be j(o). Let p be ((-15)\/(-9))\/((-2)\/(-54)). Calculate the highest common factor of p and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1\/426 (c) -1 (d) -3\/5 (e) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 218 + -145. Let l = 6473 - s. What is l rounded to the nearest 1000?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.18185ml to litres.\nAnswer: 0.09618185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 - 74 - (-2 + -3 + 5 + -5).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 3*x + 3*x)*(x**2 - x**2 - x**2) - 2*x**3 + 7*x**3 + 22*x**3.\nAnswer: 26*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/16 of a centimeter?\nAnswer: 4375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((-8 - -1) + (61 - 39)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 304 * 715668\nAnswer: 217563072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 14*w**2 + 18*w + 14. Let r(x) = 2*x**3 + 28*x**2 + 35*x + 29. Let i(v) = -5*g(v) + 3*r(v). Suppose 0 = 146*q + 849 + 1049. What is i(q)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2442 * 3\nAnswer: -7326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 0. Let i = -21 + 20.9. Sort i, -3, a.\nAnswer: -3, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -836 + -104?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.3? (a) 5 (b) 9672 (c) -1\/2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1817 and -0.15.\nAnswer: 272.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2.5. Let a = -0.6 + 0.56. Let v = a - -3.04. Put -2\/13, v, g in increasing order.\nAnswer: -2\/13, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (90\/20)\/(3*7\/(-28))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.5, -125, 14, 0.2, 0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (5 + 6) - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-2\/15)*w)\/(w*w**0\/w))**(3\/32) assuming w is positive.\nAnswer: w**(7\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4323 less than -558.561852?\nAnswer: -4881.561852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from smzsssoxssssxxsos. Give prob of sequence zm.\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1095 + 2143. Suppose -h + 1429 = -4*n, 0 = 2*n - 5*n - 4*h - v. Let k = n + 536. What is the smallest common multiple of 6 and k?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11328660 divided by -2916\nAnswer: 3885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-2 - (1 + 1) - -23)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6 + 3)*(-3*z + 2*z + 3*z + (-3 + 7 - 2)*(-2*z + 2 - 2) - 3*z - 2*z + 3*z).\nAnswer: 8*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = j + p, 0*j + 5*p = -j + 15. Is j smaller than 3\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20180.089 * -0.09\nAnswer: -1816.20801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2\/l)**(-3\/26)*l*l\/(l*l*l**8*l)*l*l*l\/l**6)**1 assuming l is positive.\nAnswer: l**(-315\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3032322 (base 4) in base 14?\nAnswer: 4b7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1160\/(-65) + 13 - 10\/65\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1722915*f**3*h**3 + f**3 + 215559*f + 2 wrt h.\nAnswer: 5168745*f**3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(325)*2)**2 - (-2*sqrt(1872) + 2).\nAnswer: 24*sqrt(13) + 20798","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/187920 and -53\/160.\nAnswer: 375840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.363 - 1.303. Let d = j - -1.08. Let w = -5\/3 + 13\/6. Which is the closest to d? (a) -1\/7 (b) -0.4 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-80 - 9) + 2 - (-68 - -51)) + 4.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18\/43 - -752\/1591. Let a = 7\/51 - -1\/34. What is the nearest to 2\/3 in s, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 7*s + 22. Let g(a) = a. Give -6*g(l) + w(l).\nAnswer: l + 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16671913 divided by 16671913.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 490494.4 nanometers to centimeters.\nAnswer: 0.04904944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 3*x + 3 = 0, -2*p + 3*x - 3 = p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 - ((-6 - 18) + -15) - (1 + 49).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 3\/284, -218.4, 0.3?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -8*k**2 - 72*k - 70. Give s(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -5, -1, 5, 13, 23?\n\"Answer: y**2 + y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -156 + 114. Let n be 8\/s*7\/2 + -211. Is 35 + -33 - (0 + n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 2 = 3*i. Solve i*t = 2*k + 3*t - 11, -3*t = -9 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 413912 to the nearest integer?\nAnswer: 643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24, 53, 86, 123, 164?\n\"Answer: 2*g**2 + 23*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21974531.\nAnswer: 2789, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 262105726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**4\/8 - 13*j**3\/8 - 53*j**2\/8 - 71*j\/8 - 15\/4.\nAnswer: -(j + 1)**2*(j + 5)*(j + 6)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -1\/151, -2\/7 in decreasing order.\nAnswer: -1\/151, -0.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -3*q**2\/2 - 25*q + 9. Let c be r(-10). Solve 6 = 2*n - c*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 107 (b) -13 (c) 0 (d) 1\/2 (e) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = n + 8. Let k = 32 + n. Suppose 4*q - k = -1. Calculate the lowest common multiple of q and 7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 208100720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/200 and -39\/80.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - 4*t + 628, 0 = -x - 5*t + 191 + 129. Calculate the highest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20263366 to the power of 1\/2, to the nearest integer?\nAnswer: 4501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -464*b + 2 - 471*b - 2 + 1396*b - 460*b.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 0*n**2 + 3*n**3 + n + 0*n**2. Let s be m(1). Let r(f) = 4*f**2 - 2*f + 4. Let y be r(s). Calculate the highest common factor of 10 and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 1089088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 - 1)*(-21 + 10 - 48)*(-4*x**2 + 3*x**2 - x**2) in the form y + h*x**2 + l*x and give h.\nAnswer: 236","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (26 + 2 - -1) + -1. Suppose 0 = y + 4 - n. What is the highest common divisor of y and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (-9)\/(-6))*-2. Let q be ((-13)\/s + -1)*-3. Suppose -4*u = 3*z - 0*z - q, 0 = -4*z + 2*u + 14. Solve 0 = -z*k - 28 + 8 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - m - 14 = 0, -3*m = -2*b - 5*m - 12. Let a(o) = 1008*o + 1011*o + 1013*o - 3028*o + 2. Let y(w) = -w**2 - 16*w - 9. What is b*y(p) - 9*a(p)?\nAnswer: 2*p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 20719115.8 to the nearest 10000.\nAnswer: 20720000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -11*q + 14. Suppose 3*t + 2 = 2*k + 6*t, 0 = -k + 2*t + q. Do k and 15\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of -j**5\/270 - 95*j**4\/108 + 44*j**3\/3 + 2044*j**2. Suppose k(t) = 0. What is t?\nAnswer: -99, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4400) - (sqrt(4400) - (1 + sqrt(4400))*2))**2 - (3 + sqrt(1584) + 4 + -3)**2.\nAnswer: 64*sqrt(11) + 16004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 229 = -7*n + 68. Let c = n + 25. Suppose 0 = 4*s - c*s - 4. Sort s, -4\/3, -3 in descending order.\nAnswer: s, -4\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1005240121 (base 6) in base 10?\nAnswer: -10331761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 113, -172 in descending order.\nAnswer: 113, -2\/5, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.984348us to milliseconds.\nAnswer: 0.001984348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 5*x**7\/168 - 5*x**6\/12 + 3*x**5\/2 - 55*x**4\/24 + 35*x**3\/24 - 139*x. Factor o(m).\nAnswer: 5*m*(m - 7)*(m - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7581*m**2*w**3 - 2*m*w**3 + 70*m*w + 28*w wrt m?\nAnswer: 15162*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35638\/15 + -2376. What is the third smallest value in -72, a, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3*(125\/85 + -2) and -97\/4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from zpzzpbzzzzzbzbbbozz?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**3 - s**2 - 6*s - 2. What is the tens digit of m(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -137*x**2 + 6*x + 3 + 67*x**2 + 74*x**2 - 3*x - 4*x. Let r(f) = 17*f**2 - 5*f + 12. Calculate 9*j(d) - 2*r(d).\nAnswer: 2*d**2 + d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 215*g**3 + 2*g - g**3.\nAnswer: 214*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 454839443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -30070 divided by -6788\nAnswer: 15035\/3394","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*28\/(-48)*4\/98*7.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 9798.959us?\nAnswer: 9798959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -20212 greater than or equal to -14734?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 13904959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2101304*w - 5 + 1094*w**2 - 1 - 2101224*w wrt w.\nAnswer: 2188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20668 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + (4 + sqrt(882) - sqrt(882)) + sqrt(882))**2 + sqrt(882) + (sqrt(180)\/(sqrt(40)\/sqrt(4)) + sqrt(72)*2)**2)*-3.\nAnswer: -4023 - 441*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 705300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (23\/(-3))\/(2\/(-6)). Let g = -148 + 346. What is the greatest common factor of g and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -176 or -172?\nAnswer: -176","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**5\/150 + g**4\/60 + g**2. Determine t, given that r(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6742980 at most as big as 6742980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 3:50 PM?\nAnswer: 5:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5342 (base 6) to base 13.\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 3*a + 16. Let c be (-10)\/(-45)*-3*-6. Let h be p(c). Suppose -104 = -4*v + h. List the prime factors of v.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -9*i**2. Let s(d) be the second derivative of 15*d + 1 + 0*d**2 - 4\/3*d**3. Give h(s(w)).\nAnswer: -576*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-25032)\/(-2086))\/((-9)\/12)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*p + 46*p - 16*p - 3*p**3 - p**4 - p**2 - 13*p + 1 to the form v*p + n*p**3 + l*p**4 + g + h*p**2 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1602\/5340)\/(-3*1\/(-2)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159.8 + 159.7. Which is bigger: 0.88 or t?\nAnswer: 0.88","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296139 is divided by 66?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**3 + 29330*z**2 - 43012445*z.\nAnswer: -5*z*(z - 2933)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - x - 2 - 5, 0 = 2*m - 2*x + 4 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -239 + 122 + 2*r + 6712*r**5 - 241*r**2 + 114 + 936*r**2 - 1520*r**5 wrt r?\nAnswer: 311520*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102996 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 13*t - 4. Suppose 159 + 17 = -4*w. Let l = -27 - w. What is the remainder when k(4) is divided by l?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 + 4*h - 42*h - 37*h + 111*h - 36*h.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -216 divided by 3\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 12*w + 5. Let o be b(-26). Suppose 0 = -4*y - 2*l + 284, -5*y + 0*l + l = -o. Does 27 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 7 + 18. Solve -o + 8 = z*v, -2*o + 4*v + 3 = 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 20. Suppose 7 = -z*g + 23. Solve -16 + g = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27554 is divided by 977?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 p when three letters picked without replacement from {z: 4, r: 5, p: 3}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 232*u - 512. Let o(h) = 11*h - 24. Let p(x) = -64*o(x) + 3*y(x). Let l(g) = g + 63. What is p(l(v))?\nAnswer: -8*v - 504","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -89*f - 117. What is the thousands digit of t(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12125005*r + 4041670*r + 4041673*r + 4041667*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 58.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29 + 31. Suppose 8 = h*g - 0*g. Suppose 2*a + 2*a - 5*q = 27, 4*q = a - g. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*(a**(4\/5)*a)\/a*a*a)\/a)**45*a**(-17)*a**3)**38 assuming a is positive.\nAnswer: a**4256","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eesssyeyelyle. What is prob of picking 2 e?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(14\/(-5) + 3). Let z(g) = 3*g**3 + 19*g**2 - 11*g + 18. Let l(i) = i**3 + 9*i**2 - 6*i + 9. Let m(t) = n*l(t) + 2*z(t). Is 2 a factor of m(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (49 - (53 - 14)) + -43 + -1 + 4?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8449353 is divided by 177.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n - 1. Determine g(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a**3 - 6*a**2 + 4*a + 18. Let g be q(-6). Suppose -121 = -t + g. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72147.\nAnswer: 3, 24049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 52906750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -53. Suppose -4*g + 103 + j = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 25*m - 87. Let p be j(3). Let t(h) = 2*h + 1. Let r(o) = -4 - o - 9 + 19 - 6. Calculate p*r(y) - t(y).\nAnswer: y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 14) to base 5\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 108*(-23)\/(483\/6). Is -30 >= n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-9)*x\/x**(2\/11))**(3\/22) assuming x is positive.\nAnswer: x**(-135\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**2 - 7*d + 6. Let y = -205 + 229. Let s be 136\/y + 2\/(-3) + -1. Let t(l) = 2*l**2 - 6*l + 5. Determine s*u(c) - 5*t(c).\nAnswer: 2*c**2 + 2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/4 + (-411)\/(-12). Suppose -5*g + 4*a + q = -38, g - 2*a - 12 = 0. What is the remainder when 29 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 106848 and 160272?\nAnswer: 320544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 7:31 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -67, -267, -601, -1069?\nAnswer: -1671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218489 is divided by 13653?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 4:50 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 66 + -64. Suppose 2*i - p*k = 22, -4*i - 6*k = -11*k - 41. What is the units digit of ((-434)\/(-5))\/(i\/35)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2 = -3*z + 35, -y + 7 = z. Calculate the least common multiple of y and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2310692 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -42259555 - -386.8\nAnswer: -42259168.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25740.\nAnswer: 2, 3, 5, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/18*10364 - (-62)\/279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18151 and 679385.\nAnswer: 1761645305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 + 178*n\/7 - 192.\nAnswer: 2*(n - 7)*(n + 96)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*x - 14*x + 31*x)*(x - 2*x - 9*x + (-2 - 4 + 5)*(1 - 1 - 3*x)).\nAnswer: -182*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 66 = 2*s, 14 - 35 = -s + 4*c. Suppose -5*o + 4*w + s = -0*o, -13 = -3*o - 2*w. Solve 4*n + 12 = -4*d, o*d - 4*n + 15 = n for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u - 168. Let q = 119 - 67. Let i = u - q. Solve i*l = -0 + 8 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-7) + (-59280)\/1729?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95039328.\nAnswer: 2, 3, 113, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 36 = 3*m, 3*m = -3*y + 2*y - 9. List the prime factors of 6\/(-27) + (-47)\/y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291784 (base 11) in base 9?\nAnswer: -764633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 - -72.03932. Round o to three decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 2271 - 1537 = 21*i, -3*i + 5*f = -82 for i.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32673739*f*n - 644*n + 11821 wrt f?\nAnswer: 32673739*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4 + (-22008)\/27552?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u*u**(-6\/5)*u**0)**1 assuming u is positive.\nAnswer: u**(9\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -9*j. Let k(l) = -4*l. Let w(u) = 7*k(u) - 3*y(u). Suppose g + 2*g = 9. Let r(i) = 3*i**2 - g*i**2 + 2*i**2. Give w(r(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - s - 4 = -3*g, -2*g + 11 = -3*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q + 1. Let v be c(0). Let a(s) = -s**3 - 5*s**2 + 7. Let b(o) = -3*o**2 + 4. Let u(i) = 3*a(i) - 5*b(i). Determine u(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*y - 4*d - 2, -5*d = -y + 9 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 25*j - 16. Let u be w(11). Let a = u - -172. What is the lowest common multiple of 8 and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaht when four letters picked without replacement from vvahtaaahaatvaavhaah?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1978600451 rounded to 4 dps?\nAnswer: 0.1979","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 PM and 7:14 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 6*d**2 + 4*d + 1. Suppose 3*o - 2 = 2*o. Let i = 8 - o. Let f be x(i). Solve -4*w - w + f = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 301.3881 millennia to years.\nAnswer: 301388.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29*(6\/(-58))\/((-306)\/(-204)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5*(28 - 23). Let a be (-1416)\/413*(-294)\/4. Is a + (8\/u)\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a kilogram in grams?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(-33) - (1 - 5110705\/55) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = j + j + 3*y, j - 4*y - 13 = 0. Suppose 3 = -4*q - h, -q - 3*h - j = 8. Solve -4 = f - q for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -265792 + 556583. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2365620233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -2*b - 5*y + 30, 5*y = -2*b - 19. Let a be b\/(-14)*(-2)\/(-2). Factor 0*k**2 + 2*k**4 + 0*k + 0 + a*k**3 + 3\/2*k**5.\nAnswer: k**3*(k + 1)*(3*k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4332042330 - 2?\nAnswer: 4332042323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5325 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211.\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(88))\/sqrt(4))\/(sqrt(11) - 5*-2*sqrt(11)).\nAnswer: sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -5 - 32\/(-3) - 3\/(-9). Solve -2*q - m = -4*j - 0*q, 4*j - q - 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 1023 = 3*l. Let i be (2 - 23)*68\/102. Let f be ((-20)\/10)\/(i\/217). Calculate the highest common factor of f and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*d**4 + 12*d**3 + 4*d**2 - 22 wrt d?\nAnswer: -48*d + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.166 times -0.227\nAnswer: -0.037682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 687\/1784 + -9\/892. Put t, -0.4, 7, -16 in decreasing order.\nAnswer: 7, t, -0.4, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -319, 1 in ascending order.\nAnswer: -319, -18, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2686.\nAnswer: 2, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 35952?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 182 and 57176.\nAnswer: 743288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1080 is divided by 139?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 27174636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g**2 + 5*g. Let p(d) = 2*d**2 - 3*d. Let c(q) = -5*p(q) - 3*x(q). Let h(s) be the third derivative of -7*s**4\/24 - 7*s**2. Give h(c(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -169*c**2 - 2*c + 456 wrt c.\nAnswer: -338","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 5:55 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*d - 35098 = -16*d. What is the lowest common multiple of 92 and d?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -14173?\nAnswer: -14175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - 7*o**2 + 14*o - 9. Let q be z(6). Suppose -q*v = -36*v + 126. Let p = -32 - v. Solve 19 = t - 5*r, -t + 3*r = r - p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32463?\nAnswer: 3, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13c5 (base 14) to base 16.\nAnswer: -db1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12690348 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 1\/5*r**2 + 136\/5*r + 268\/5 = 0.\nAnswer: -134, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220464 and 61509456?\nAnswer: 61509456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -91*q - q**2 + q**3 + 84*q - 3*q**4 + q**2 in the form z*q + o*q**3 + r + w*q**4 + n*q**2 and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - -34. Let y = 536941\/12656 + 5\/1808. Which is bigger: i or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + ((-168)\/(-14) - 15 - -14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*u - 5*d = 30, 2*u + 5*d = 0. Find the second derivative of 0*k + 0*k + 7*k**u - 3*k wrt k.\nAnswer: 140*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(539) + sqrt(539)*3*4))**2.\nAnswer: 2277275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28 and 101\/5796.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -a. Let t = 1 - a. Let f(c) = -c**3 + 17*c**2 - 16*c + 2. Let j be f(16). Is t not equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12835*m - 21263*m - 15788*m - 16885*m as l + a*m and give a.\nAnswer: -41101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -41425, -41434, -41447, -41464, -41485, -41510?\n\"Answer: -2*m**2 - 3*m - 41420","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -397.770201 to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - 3. Let f(j) = -j**3 + 6*j**2 - 3*j - 14. Let t be f(5). Calculate m(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 10*q**2 - 4*q - 4. Let o be (-6)\/3 + (-5 - -5). List the prime factors of m(o).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 + 3*d. Let o be s(-1). Let w be (-3 - o) + (-9)\/(18\/(-8)). Solve 0*r - 3*m = -3*r - 27, -5*r - w*m - 10 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 AM and 10:34 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 48340 - 16?\nAnswer: 48323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -144*r + 17. What is the tens digit of q(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**4 - 6*u**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -271.8146 to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18436\/(-1056)*(-4)\/7*1 + -10.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 6:31 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 4167*r + 8363. Determine d(-2).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 384 = -4*p, -331 = -3*q - 2*p - 23. Let r(k) = -k**2 - 5*k. Let a be r(-3). Suppose a*z = 700 - q. Is z a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -295.4, 0.\nAnswer: -295.4, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 9. Suppose -3*r + 6 = -x*o - r, -3*r = -3*o - 9. Solve o = 6*y - 2*y + 16 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -133. Let d = 122 - j. Let w(y) = -2*y + 5. Determine w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 461647 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (14 - (1 - -1))*1. Suppose 3*h = -h + l. Suppose 0 = -w + h*d + 17, -42 + 9 = -5*w + 2*d. Solve -4*f + 21 = -0*f + w*v, 5*v - 25 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from cnngnjnnncjnsssunn.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 306 divide 1113915?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/15, 0.0181005, -2, -0.2, 3, 0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/3)\/(48\/(-36)). Let i(r) = -r**3 - 4*r**2 - 4*r - 1. Let d be i(-3). Which is the nearest to x? (a) -0.2 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 38, -57, 2.\nAnswer: -57, 2, 5, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*g**3 - 127220*g**2 + 269706395*g + 179860810.\nAnswer: 5*(g - 4241)**2*(3*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3876, 7749, 11620, 15489, 19356?\nAnswer: 23221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1592\/1351 - 1\/5404. Find the common denominator of a and -5\/492.\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21168, -13998, -6828?\n\"Answer: 7170*o - 28338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79263, 79247, 79209, 79137, 79019, 78843, 78597?\nAnswer: 78269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 566513553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(252))\/sqrt(4) + 2*-2*sqrt(63))\/(-1*((sqrt(9) - sqrt(36)) + sqrt(9)) - (sqrt(9) - ((sqrt(9) - (sqrt(1575)\/sqrt(7) - sqrt(9))) + sqrt(9)))).\nAnswer: 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20404932, -40809868, -61214818, -81619788, -102024784, -122429812?\nAnswer: -142834878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9770*y - 221763 = 2123*y for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, f: 7}. Give prob of sequence ffz.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = 8*l + 368, -z - 160*l + 321*l + 188 = 157*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15568*d**2*g**3 + 2*d**2*g**2 + 56*d**2*g + 2*d**2 + 2180*d*g**3 + 13*d*g + g**2 - 10 wrt g.\nAnswer: -93408*d**2 + 13080*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-3)*(-111)\/(-15). Suppose -3*y + 71 = -b + 5*b, -2*b - y = -c. Calculate the greatest common divisor of 10 and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000475394445 rounded to seven decimal places?\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000006209677056 rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 4:02 PM?\nAnswer: 8:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 divided by -6?\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24932\/17 + -1466. Let f = z + -53\/119. Let r = 0.696 + 0.304. Which is the closest to r? (a) 0.5 (b) f (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23799, 47602, 71405, 95208?\nAnswer: 119011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -411 + 81*y - y**2 + 111*y - 196*y to a*y**2 + r + l*y and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 701658619.\nAnswer: 19, 31, 821, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by 56?\nAnswer: -37\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 261663888 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000001 - -101?\nAnswer: 10000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 20 = 8*o. Let n be (-3 - o\/(-8))*4\/(-2). Solve -2*h + 4 = -5*p, -2*p - 9 = 2*h + n for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 262836 + -35958\nAnswer: 226878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 11, k: 2}. Give prob of sequence kk.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11814\/429 - 28) + (-396)\/(-13)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-18*(-37)\/(-999))\/(7\/(-294))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3058 or 3054?\nAnswer: 3058","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 134 + -2?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1565*q**4 - 1134 wrt q.\nAnswer: 6260*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**5\/15 + 22*t**4\/15 - 86*t**3\/15 + 154*t**2\/15 - 128*t\/15 + 8\/3 = 0. What is t?\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, n: 2}. What is prob of sequence aaan?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53, -8, 1, -5, -2 in descending order.\nAnswer: 1, -2, -5, -8, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 b when two letters picked without replacement from {g: 5, q: 6, f: 1, b: 1, x: 3, o: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -758 + 786. Is 27 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 0.6807631 weeks?\nAnswer: 4.7653417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -68, -83, -112, -161, -236, -343, -488?\n\"Answer: -l**3 - l**2 - 5*l - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c70a (base 13) to base 10.\nAnswer: 56118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -3, 8\/7, 35, -1\/36, 5 in ascending order.\nAnswer: -3, -2\/7, -1\/36, 8\/7, 5, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w - 1. Let c be m(2). Suppose -4*u = 5*v + 16, -v - 4*u = -c*u + 4. Suppose -q = x + q - 16, x + 4*q - 26 = v. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -5*w. Let r(n) = 2*n. Let m be 9\/45 - (-2)\/(40\/(-284)). Let f(b) = 2*b - 6*b - 2*b. Let z(o) = m*r(o) - 5*f(o). Give z(q(y)).\nAnswer: -10*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 226828*m - 107 + 30 + 33.\nAnswer: -226828*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of 0*q**7 + 5\/12*q**4 + 0 - 1\/56*q**8 + 0*q**6 + 0*q**2 + q + 0*q**3 + 0*q**5. Find the third derivative of t(b) wrt b.\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 + 1 + 1494\/(-369). Suppose 0 = -3*s, 3*j = 2*j - s. Is j at least u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - v - 4. Let t = -243 - -243. Calculate c(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1141?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*x**2 + x**2 + 27 - 9*x**2 wrt x.\nAnswer: -28*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -147*x - 128*x + 5 + 146*x - 5 to w*x + k and give w.\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3400\/84139?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 149 and 23393?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -6*l. Suppose -k - 5 = -l*k. What is the closest to 2\/5 in -0.3, k, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/5*(-4 + 1). Let k be 3\/9*1 + 224\/(-24). Let m be (-20)\/k + 8 + -6 + -4. What is the biggest value in m, l, -14?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000761347336 rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*d**3 - d + 20218 wrt d.\nAnswer: 123*d**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13446967 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, c: 4}. Give prob of picking 3 c.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7074 = -179*z + 125*z. Solve -z + 106 = -5*n - y, 4*y = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 10) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 25622.8 and -0.05?\nAnswer: 25622.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, l: 2}. What is prob of sequence llee?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 783 is divided by 698?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.6727 times 2083\nAnswer: -1401.2341","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -440, 88, 640, 1216?\n\"Answer: 12*f**2 + 492*f - 944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -5. Suppose 0 = z*m + p - 40, -2*m = m + 4*p - 25. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -212 - -211. Which is smaller: -3\/2 or r?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -13. Let m = -0.0044 - -5.0044. Let r = 13\/287 + 4\/41. What is the nearest to x in m, -1, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -92 (b) 0.3 (c) 3\/41 (d) 4 (e) -3 (f) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -253*t - 719. Let u be g(-3). Solve -33*q + u*q + 35 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3610, -14383, -32308, -57379, -89590?\n\"Answer: k**3 - 3582*k**2 - 34*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 93 and 1488?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165409 and 1985159.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.9404641398 to one dp.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a - 7. Let x(r) = -5*r + 15. Let j(y) = -13*h(y) - 6*x(y). Let z be j(-1). Let c(o) = 5*o - o + 2 + 0. Let w(f) = 5*f + 3. What is z*w(u) + 4*c(u)?\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10110001101010100010001?\nAnswer: -10110001101010100010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7224842?\nAnswer: 2, 37, 89, 1097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 4) + -8 - ((11 - 10) + -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -75, -2.2, -1.4?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*g - 37*g + 234 = 26. Factor 3\/5*d**2 + 3\/5*d - 3\/5*d**3 + 0 - 3\/5*d**g.\nAnswer: -3*d*(d - 1)*(d + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 + 11*d**2 + 12*d - 6. Let u be b(-9). Suppose -4*r - 16 = -u. Suppose -4*f = r*f + 34800. Round f to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -176 + 178. Let q be ((-2)\/4)\/(2\/(-8)). Suppose -x + 25 = q*b, -z*x - 3*b + 0 = -45. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 201437337?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -192, -444, -808, -1290, -1896, -2632, -3504?\nAnswer: -4518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 9*f - 10 - 10*f - 1. Let p be g(-11). Suppose p = -3*t + y + 117, -4*t + 3*y + 136 + 15 = 0. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 98*i**2 + 588*i + 1828. Determine s(-92).\nAnswer: -1484","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (1152\/(-640))\/((-6)\/275810) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*d**3*i + 11*d**3*o - 4*d**2*i*o + 3*d*i*o + 3*d*i + 18*d wrt d?\nAnswer: 42*d*i + 66*d*o - 8*i*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**3 - 2*j**2 + j - 2. Let b be d(-2). Suppose -25 = -b*l + 135. Is 8 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*h - 19*h = 5*c - 20, 3*c - 2*h = 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 65 - -56?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13764 + 2868 = 27*o. What is the highest common factor of 110 and o?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2144 = 27*b + 55*b + 52*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2246a2 + -55?\nAnswer: 224648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -0.4, 1166, -2\/155?\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 = -0*x + 6*x. Let s = -17 + x. Is s\/4*60 - 3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/(-5))\/((-2)\/50). Let y = o - 6. Let z be ((-1)\/(-3))\/(3\/(-18)). Put 2, y, z in increasing order.\nAnswer: z, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1086397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/(w\/((w*(w**(-1\/30)*w)\/w)\/w)))\/w*w)\/w**(4\/7))\/(w\/(w*w*w\/(w*w*w**(-2\/17)\/w)*w))**(2\/23))**(2\/49) assuming w is positive.\nAnswer: w**(-34537\/2011695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1027076751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 220625 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: Calculate the common denominator of 27\/7226884 and 30\/1547.\nAnswer: 1597141364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 475*m + 479*m = 960*m + 78 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/1 - -2 - (-5)\/1. Let m(x) = x + 2. Let g be m(-2). Solve g = a*c - z - 14, -c - 1 = -2*c - z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -1\/4*u**3 - 1\/4*u + 0 - 1\/2*u**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p + 11*p - 33. Solve 0*u + p*u = -2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 6\/7 - 9\/7*a**5 + 12\/7*a**3 - 3\/7*a - 18\/7*a**2 + 12\/7*a**4 = 0?\nAnswer: -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 430*f**2*h - 3*f**2 - 2*f*h - 1192*f + 2*h wrt f?\nAnswer: 860*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -6*(-102)\/72*4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:56 AM and 5:49 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/(-5)*-4*(-1)\/12?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1296 - -22048\/17. Let n = 1703399 + -1703397. Which is bigger: u or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-28)*(-88)\/(-66).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314817*m + 314817*m - 3*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/14 + (-16 - (-6490)\/413).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/10 + (-102)\/(-4). Calculate the highest common factor of t and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, 3, 22, 49, 84?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**2 - 18. Let m be i(0). Let h(v) = v**2 + 19*v + 18. Let s be h(m). Solve 5*y - 4*n - 41 = s, -6 - 2 = 2*n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (4 - -3) + -3. Determine o, given that -o**h + 5*o**2 + 42*o - 9 - 45*o + 0*o**3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12565)\/(-8975))\/(1\/(4 - -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.4 - -7. Let c be 58*(22\/(-12) + 2). Let w = c - 10. Sort w, -5, m in ascending order.\nAnswer: -5, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -602, -758, -914?\n\"Answer: -156*x - 446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 0*s**4 - 11*s**2 - 31\/20*s**5 + 4\/3*s**3 + 0*s - 1. Differentiate d(p) wrt p.\nAnswer: -186*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*s - 101*s = 0. Suppose 0*j - 3*n - 467 = -j, -5*j + 2*n + 2309 = s. Suppose -13*w + 1333 = -j. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7, -8, 1, 26, 73, 148, 257?\n\"Answer: x**3 - x**2 - 5*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1022201000101012 + 2?\nAnswer: 1022201000101021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391078 is divided by 132?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 0 - (-34)\/714*-273?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/2604264 and -31\/14856.\nAnswer: 1612039416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 403.991 to the nearest ten.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3*d**2. Let a be (2\/8)\/(-2*(-3)\/696). Suppose l = 5*r + a, -9 = -5*l + 2*r + 67. Let i(n) = -10*n - 5*n + l*n. Calculate o(i(j)).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*y - 4, -4*z + z - y + 8 = 0. Is (4\/(-4))\/(z\/(-42)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 655 + 15 + 3 + 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.7 + -4.699816. What is m rounded to 5 dps?\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4146 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 0.2 (c) -1 (d) -28 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-26)*(-4875)\/3750?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 65 = -3*k, -3*p - k - 194 = -155 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 2, -5, 7\/3, -0.1?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300*i**3 + 38*i**3 + 6*i - 6*i.\nAnswer: -262*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/1354024 and -69\/44.\nAnswer: 14894264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4)\/(-10) + (-17498)\/(-130) is divided by 25.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1974*i - 5*j + 117 = 1977*i, -12*i - 5*j + 153 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -16*h**3 - 13*h**2 - 29*h - 38. Let w(g) = 7*g**3 + 6*g**2 + 14*g + 19. Let t(x) = -2*l(x) - 5*w(x). Is t(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c*c**(2\/5)*c*c**(33\/2) assuming c is positive.\nAnswer: c**(199\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 - 0. Let p = q - -0.2. Which is the nearest to 3? (a) p (b) 4 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-3484)\/(-12) + 1)\/(8\/12).\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*s + 42*s + 168 = 0 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 899641 (c) 0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2902, -2904, -2896, -2872, -2826, -2752, -2644, -2496?\nAnswer: -2302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 535.8 - 472. Let m = 50 + 14. Let y = i - m. Which is the second smallest value? (a) 0 (b) y (c) -2\/7 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -293*a**4 + 13*a**2 - 5 wrt a?\nAnswer: -7032*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6142 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.03 - -2.03. Let r = 0.238 + 0.032. Let g = -0.73 - r. Which is the third biggest value? (a) g (b) v (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (33\/(-12) + 2)*40. Let h = g - -48. What is the smallest common multiple of h and 2\/8 + 142\/8?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-9 + 9 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -432, -885, -1322, -1737, -2124, -2477, -2790, -3057?\nAnswer: -3272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*s**3*v**3 - 12442738*s**3*v + 2*s**3 + 11926*s**2*v**3 - 2187*s**2*v wrt s.\nAnswer: 18*v**3 - 74656428*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -307, -293, -277, -259?\n\"Answer: s**2 + 11*s - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 m when three letters picked without replacement from mgzglzlgmmlmlgg?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -49.584675 rounded to 2 decimal places?\nAnswer: -49.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -34. Round n to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 103 + 47. Let b be 3 + -7 - g\/(-7). What is the closest to 0.1 in -2\/5, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13221333322 (base 5) in base 16?\nAnswer: -fd240d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 21857916 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d + 2. Let u(c) = 46*c + 10. Suppose 69*x + 78 - 216 = 0. What is x*u(q) - 11*g(q)?\nAnswer: -7*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}