diff --git "a/data/dm_maths/full_data/5824_11255.jsonl" "b/data/dm_maths/full_data/5824_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/5824_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let r(c) = 9*c + 6*c**2 - 2*c**3 + 15 + 2*c**2 + c**3. Let i be r(9). Suppose -2*k = -i + 7. Solve 0 = z - 0*z + k for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c + 6. Let d be p(4). Let t(f) = 9*f. Calculate the smallest common multiple of 16 and t(d).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12152\/(-21))\/(-62)*(-6)\/(-2)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.2 - 0.8. Let d = 9 - q. Which is the second smallest value? (a) -2\/7 (b) d (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 2*x = 85, 3*h + 273 = 6*h + 3*x. Let v = -41 + h. Suppose -g + v = 19. Calculate the remainder when g is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62251 times -0.1\nAnswer: 6225.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5513 is divided by 25?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5307485 litres?\nAnswer: 530.7485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 3) to base 14\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 + 42 = -2*y + 4*q, 2*y = -4*q + 32 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) 0.6 (c) 1 (d) -123\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i - 10. Let y(s) = -s - 10. Let k(p) = 3*v(p) - 2*y(p). Let z be k(-9). Let f = -1 - 2. Which is the nearest to z? (a) 0 (b) -0.2 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 111?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -171*n = -393419 + 75017. Solve 7*l - 1904 = -n for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**17*b**16 assuming b is positive.\nAnswer: b**33","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -232.205 + -3.419177.\nAnswer: -235.624177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115 - 62. Let s = -36 + v. Let j(d) = -20*d**2 + 17*d. Let y(n) = -7*n**2 + 6*n. Calculate s*y(f) - 6*j(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 22*x - 21. Give b(-21).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -208819, -36, -2.2?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8*603*728\/(-819))\/(-3).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*q**2 + 4*q**2 - 72 + 72.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 13406 - -4424?\nAnswer: 20032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -221*i**2*l - 12*i**2 + 379*i*l + 5046649*l + 2 wrt i.\nAnswer: -442*i*l - 24*i + 379*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*c**2 + 12*c**2 - 10*c**2 as d*c + x*c**2 + z and give x.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 7*r**2 + 2*r**2)*(-11 + 14 + 10 - 2*r)*(-154*r + 195*r + 171*r).\nAnswer: 424*r**4 - 2756*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -10\/9 (b) 3 (c) -1\/3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 - 15 = -5*i. Let x(d) = 7*d**2 - 3*d + 5. Let s(y) = -114*y + 122*y - 13*y**2 - 14 - 7*y**2. Let n(o) = i*x(o) - 6*s(o). What is n(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 4*k - 5. Let f(j) = -j**2 + j. Suppose -2*o - 2 = -5*n, -3*o - 5*n = -10*n + 3. What is o*r(z) + 3*f(z)?\nAnswer: -2*z**2 - z + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131*c - 199*c + 66*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -996 = 330*h - 333*h. List the prime factors of h.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 + 60*w + 1071. Let h(u) = u**2 - 100*u - 2142. Give -3*h(s) - 5*p(s).\nAnswer: 2*s**2 + 1071","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5678712 a multiple of 468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 2) + -2 - (-49 - -46)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2 and 4877230432829.\nAnswer: 4877230432829.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 762*f**2 - 10*f - 2879. Let p(x) = 1523*x**2 - 25*x - 5757. Let d(b) = 5*k(b) - 2*p(b). What is the derivative of d(m) wrt m?\nAnswer: 1528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100452706 to the power of 1\/3, to the nearest integer?\nAnswer: 465","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.7842 times -7657?\nAnswer: -36632.6194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 308, 309, 310, 311, 312?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, -13, -44, -89, -148, -221, -308?\n\"Answer: -7*j**2 + 4*j + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 5, -45, 10392?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vnn. What is prob of sequence nv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2 - 5 = 0. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4*x**2 + 9*x + 8. Let l(j) = -3 - j + 5*j**2 - j - 4*j**2 + 1. What is -9*l(y) - 2*o(y)?\nAnswer: -y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-5 - 0)) + (38 - 38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -405a71 (base 13) to base 10.\nAnswer: -1497939","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -17*i + 4. Let b(n) = -30*n + 16. Determine -4*b(d) + 9*q(d).\nAnswer: -33*d - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmmvtgvtztzzvv. What is prob of picking 2 t?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, 19, 78, 193, 382, 663, 1054, 1573?\nAnswer: 2238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 294971600 and 2198.\nAnswer: 2198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449 = -4*s + 6*c - c, -4*s = 3*c - 409. Is s a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (6 + -2 + 1 + -9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -800 = -548*y + 388*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i + 3. Let k(w) = -w**3 + 7*w**2 - 8*w + 1. Let b be k(5). Let r(s) = -3*s + 8. What is b*u(c) - 4*r(c)?\nAnswer: c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/(-21) - 1) + 424\/318?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/(-696))\/((-3)\/(-2) - 0)?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 325 - 359a4?\nAnswer: -3567b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-24)*(-8)\/2. Calculate the greatest common divisor of z and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 + 0. Let z = i - 0.3. Let o = 4 - 2. Which is the closest to z? (a) o (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1351, -1350, -1349?\n\"Answer: v - 1352","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*k - 16*k = 268*k - 7127609. Calculate the remainder when k is divided by 107.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -51, -158, -369, -720, -1247?\nAnswer: -1986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/5*r**4 + 0*r - 1\/5*r**3 + 0 + 0*r**2 - 1\/5*r**5 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 6:36 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 4*z**2 - 3. Let b be (-6 + -70)*(-190)\/1805. Let t(m) = -11*m**2 + 9 + 3 - 4. What is b*x(i) + 3*t(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-714)*-7 - 208\/(-34). Calculate the smallest common multiple of 336\/9*((-135)\/a)\/(-15) and 2.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281879 (base 10) in base 11?\nAnswer: 182864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 68 = -2*u, 0 = v + 5*u - 0*u - 51. Suppose 0 = -0*h + v*h - 52. Solve -3*o - 2*o = h*j - 8, 0 = 3*o + 5*j - 20 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203 (base 4) to base 15.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 3*t - 6, t = -3*t - 2*p - 6 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04 and 5320.71.\nAnswer: -212.8284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes after 9:18 AM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 136627053 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -17? (a) 2\/3 (b) 2 (c) 9 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c**2 - 13*c**2 - 23*c**2 in the form x + t*c**2 + o*c and give t.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5054099851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a40c4 - 9?\nAnswer: -a40cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8971*r**3*z + 68*r**3 - 12*r**2*z + 4*r**2 + 16*r*z - 3*r - 95*z wrt r?\nAnswer: -53826*z + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.614 bigger than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -383? (a) -7\/4 (b) 0 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40241825 and 625?\nAnswer: 1006045625","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -139 - -277. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - b + 511255 + 2733553, -9734416 = 3*s - 2*b. What is s rounded to the nearest one hundred thousand?\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = o - 0*o. Calculate the smallest common multiple of (o\/10)\/(4\/(-100)) and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**2\/4 + 5393255*x\/2 - 5817439899005\/4 = 0. Calculate x.\nAnswer: 1078651","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhkhhhkhkfhkhffkfhkh. Give prob of sequence hkhf.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*o + 5*z, 5*o + 0*z = -3*z + 32. Solve h = -0*h - o for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21846969?\nAnswer: 3, 809147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 3405.\nAnswer: 3405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1188 - 1233. What is the nearest to 1 in i, 1\/9, -0.1, -5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 29 + 37. Suppose -15*q - 188 = -2*y - 14*q, y - 84 = -a*q. Calculate the greatest common divisor of 46 and y.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 242713 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/49*-2*2\/(-8). Suppose -3*f + d + 2 + 3 = i, 5*d - 7 = -f. Let h(z) = -8*z + 1. Give h(f).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-2 + sqrt(2448)*-3 - sqrt(2448)))**2.\nAnswer: 1728*sqrt(17) + 352548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 66, 81\/8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 9, 5, 3 in ascending order.\nAnswer: -4, 3, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqqqoquqiquyyq. Give prob of picking 1 o and 1 i.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m*m\/m**(-2)*m)\/m)\/m)**(20\/11))**(5\/4) assuming m is positive.\nAnswer: m**(100\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + t - 893 = -5*j, -5*t = -2*j + 341. Let j*n**2 - 81*n + 35*n - 6*n + 14*n**3 = 0. What is n?\nAnswer: -13, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**2 - 32*z + 24. Let o = -109 - -115. Let p(g) = g**3 - 7*g**2 + 5*g + 12. What is the lowest common multiple of r(7) and p(o)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -90178716931724 and 4.\nAnswer: -90178716931720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 1446*c - 725*c + 4 - 722*c. Suppose 7 + 3 = -2*s. Let y(a) = -a + 3. Give s*n(x) + 6*y(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 7 - 17 = -z, 5*s = 5*z - 40. Calculate the remainder when 32 is divided by -12*z\/(-16) + 3 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -884 - -886. What is the closest to -3 in -1, 5, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2028096\/5*k + 2\/5*k**3 - 806*k**2 + 2032128\/5 = 0. What is k?\nAnswer: -1, 1008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/1*(-19)\/2. Let b = y - 22. Solve i + b = -5*o - 5, 2*o - i + 14 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*i. Suppose -2*c + 5*x + 2 = 12, -2 = c - x. Let k be 0\/(2 + c) - -16. Solve -2*d + 3*j = k, 2*d - 4*j + 2*j + 12 = i for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*b**3 + 3993*b**2\/5 - 20796*b\/5 - 1044 = 0. Calculate b.\nAnswer: -58, -6\/25, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 330.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 - 26*t + 147. What are the prime factors of x(-26)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -1. Let m(l) = 0*l**2 + 0*l**2 - 3 + l**2 - b*l. What is m(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 20. Let o be x(10). Let b = -14 + 10. Let i be b\/12 - 2\/(-6). Is i >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2040354450 + 3?\nAnswer: -2040354444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 45895414 to the nearest integer?\nAnswer: 358","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 10d5?\nAnswer: -10d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1967983, 1967984, 1967985, 1967986, 1967987, 1967988?\n\"Answer: m + 1967982","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 48\/(-80)*10 + 4*1. Let i(o) = -14*o + 8. Give i(b).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2*1*4\/(-2). Let c(m) = t*m**2 - 2 + 1 + 1. Let a(p) = 2*p**2. Give a(c(r)).\nAnswer: 32*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/((t*t*t**22)\/t*t)*t*t\/(t\/(t\/(t*t\/(((t**10*t)\/t)\/t)))))**(-10\/7) assuming t is positive.\nAnswer: t**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 + 1020040\/4 + 26 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -284144394*g**2*y**2 + 1206*g**2*y - 92*g*y + 48 wrt y?\nAnswer: -568288788*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 45 (c) -2\/29621 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 1211*w**3 + 2*w**2 + 2*w - 780. Let i(z) = 2420*z**3 + 5*z**2 + 5*z - 1558. Let x(a) = -2*i(a) + 5*v(a). What is the derivative of x(t) wrt t?\nAnswer: 3645*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -10*j**3 + 54*j + 3. Let t(a) = 7*a**3 - 36*a - 2. What is 5*h(c) + 7*t(c)?\nAnswer: -c**3 + 18*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**5 - 17*w**4 + 157*w**3 - 259*w**2 + 120*w = 0.\nAnswer: -24, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**4 - 2*f**4 + 5*f**4 + (1 + 3 - 6)*(-f + 2*f**4 - 3*f**3 + 3*f**3) to the form j*f**2 + h + p*f + w*f**3 + y*f**4 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -27, -64\/95, -2\/7, 1\/6?\nAnswer: -64\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -311012010 (base 4) to base 6.\nAnswer: -4354500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4336 + -2562. List the prime factors of a.\nAnswer: 2, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 816 and 21466?\nAnswer: 17516256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z - 3*f - 9, -5*f = z - 37 + 52 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3895*w**2 - 3895*w**2 + 29*w**3.\nAnswer: 29*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 10*f**2 - 11*f + 1. Let y be r(8). Let k(d) = -y*d + 6 + 2*d + 0*d. Is k(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270901493?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + 24\/9)\/(280\/(-90)). What is the third biggest value in -0.3, 0.9, p, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 19*t**2 + t - 17. Let a be s(19). Solve -a*y + 5 = -5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m**4 - 88*m**3\/3 + 350*m**2\/3 - 196*m\/3 = 0.\nAnswer: 0, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 124*u + 7454. Give j(-67).\nAnswer: -854","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2141 - -2149. Solve -4*l - 24 = o*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 3070 - 3088 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 37*t**2. Let p(v) = -81*v + 12. Calculate b(p(d)).\nAnswer: 242757*d**2 - 71928*d + 5328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143) + sqrt(143) + (((sqrt(143) - (sqrt(143) + -1*sqrt(143)))*2 - sqrt(143)) + sqrt(143) - sqrt(143)))\/((sqrt(132)*2)\/sqrt(12)).\nAnswer: 3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*g - 320411 = 104921. Does 68 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18580 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13\/12 + 1\/4. Suppose 3*v = 4*v. Find z, given that -5*z**4 + v - g*z - 19\/3*z**3 + 20\/3*z**2 = 0.\nAnswer: -2, 0, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-141) - (-69336)\/(-197964)?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(4\/9))\/(l*(l*l**(-1\/14))\/l))**(39\/7) assuming l is positive.\nAnswer: l**(-611\/294)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4747 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011 (base 2) to base 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -5*k**3 + 3*k**2 - k + 12. Let a(h) = -11*h**3 + 8*h**2 - h + 24. Let q(s) = -3*a(s) + 7*x(s). What is the units digit of q(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 7:30 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 1242227?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 7*b - 3. Let q be s(6). Solve -2*t = q*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -454?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (96598*(-6)\/(-12))\/(17 - 16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.9 + -18.96. Let j = v + 0.06. Put j, -4, 0.1 in ascending order.\nAnswer: -4, j, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-54)\/24)\/((-3)\/(-32)). Does 6 divide 9\/((u\/9)\/(-8))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 29*f + 83. Let x(m) = 2*m + 1. Let i(u) = o(u) - 6*x(u). Calculate the remainder when 152 is divided by i(20).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 129*r + 122*r - 102 = 26, -3*w = -4*w - 4*r + 11 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -22 - -97. Let y(t) = 7*t**3. Let d be y(1). Let a(b) = b**3 - 5*b**2 - 11*b + 9. Let q be a(d). Calculate the highest common divisor of f and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 AM and 11:08 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6549462307 to the power of 1\/2, to the nearest integer?\nAnswer: 80929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5240?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*5*(2 + sqrt(125) + 0 + 4*(1*sqrt(125) - sqrt(125)))*-2.\nAnswer: 60 + 150*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 n when four letters picked without replacement from nnffnnfnnmnfnnnmff?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5206517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 12, e: 1}. What is prob of sequence qeqq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2171106*v - 11 + 8 + 3.\nAnswer: -2171106*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.12 + -0.34. Let b = 0.19 + -0.298. Let o = b - p. Round o to 2 dps.\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 31070?\nAnswer: -31070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1377449 to the nearest integer?\nAnswer: 1174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 5*h**2 - 8*h + 9. Let s = -34 + 40. Let g be t(s). Let j = g - -36. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = 4*g - 70394*q + 70393*q, 0 = -39*g + 4*q - 284 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -1\/12*j**4 + 0 + 0*j**2 - 218*j + 0*j**3. Let x(b) = 152*b**2. What is x(u(q))?\nAnswer: 152*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11526551 is divided by 195365?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2318195 and 63280.\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -15, -22, -29, -36?\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 0*o = -3*q - 189, -4*o + 282 = 2*q. Suppose 74 - 182 = -4*g + 2*j, 4*g = -3*j + 108. Calculate the remainder when o is divided by g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-20)\/50 - (-22)\/5. Solve -4*b = -0 - m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1511718107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352*j - 173*j - 181*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 252 a factor of 260820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(6)\/sqrt(2)*3 + -3 + ((sqrt(108)\/sqrt(6))\/sqrt(6) - sqrt(3)) + 0))**2.\nAnswer: -72*sqrt(3) + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + i - 5 = 70, -4*c = 5*i - 100. Calculate the highest common divisor of c and 2950.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 176 + 111 = 21*m - 193 for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -7*y**2 - 225*y - 4544. Let v(b) = -9*b**2 - 216*b - 4544. Let z(d) = -4*m(d) + 3*v(d). Differentiate z(i) wrt i.\nAnswer: 2*i + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 873886440 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 11*x**2 + x - 8. Let b be s(11). Let a = 1 - -3. Sort a, b, -3.\nAnswer: -3, b, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.35 and -0.075973106.\nAnswer: -0.425973106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/1098 and -37\/2900184.\nAnswer: 8700552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(1\/3)\/(g*g**(-2\/15))*(g**1\/g)\/g*(g*g**(-1)\/g)\/g assuming g is positive.\nAnswer: g**(-53\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 52*y**2 + y - 3080. Let p(k) = -95*k**2 - 2*k + 6158. Determine -11*h(a) - 6*p(a).\nAnswer: -2*a**2 + a - 3068","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*n + 11*n - 6. Let w be ((-9)\/135)\/(n\/12). Which is the third biggest value? (a) w (b) 3\/4 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*g**2 - 4*g**2 + 2*g**2)*(3 - 3 + 2*g) + 3 - 3*g**3 - 3 + g**3 + 3*g**3 - g**3 + (-2*g**2 - 4*g**2 + 3*g**2)*(-4*g - g + 4*g))*(-2 + 2 + 1).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 1. Let x(c) = -165*c**2 - 2. Give 2*u(j) + x(j).\nAnswer: -165*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*p**3 + 438*p - 438*p + 40*p**3.\nAnswer: 27*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34043247.\nAnswer: 3, 7, 60041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*i*k**6 - 7*i*k**2 + 2*i*k - i + 666*k**6 - 5*k**2 wrt k?\nAnswer: -240*i*k**3 + 79920*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000585 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*h**5 + 3*h**2 + 206*h - 1.\nAnswer: 80*h**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r**4\/8 - 197*r**3\/4 - 785*r**2\/8 + 369*r\/4 - 18 = 0.\nAnswer: -24, -3, 1\/3, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*f - 25 = 68*f. Calculate the highest common divisor of f and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -126?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 56840 and 126?\nAnswer: 511560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 83411.71 litres in millilitres?\nAnswer: 83411710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -11*c**2 - 23*c - 11. Let l(a) = -6*a**2 - 10*a - 5. Let z(j) = -3*f(j) + 7*l(j). Let b(m) = -8*m**2 - m - 2. Determine 7*b(n) - 6*z(n).\nAnswer: -2*n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.377923 centuries?\nAnswer: 0.5377923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5067 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 21*m + 23*m - 1 to v + s*m and give s.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2141, 4092, 6043, 7994, 9945?\nAnswer: 11896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y - 1 = 4*s - 4*y, -s + 4*y + 14 = 0. Suppose 3*a + 2*a = v + 19, -s*a = -3*v - 5. Suppose 3*f - 3 = k, -k + 65 = a*k + f. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 626 rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37474?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 120897 = 127679. Let f be d\/26 + -5 + 315\/65. What is f rounded to the nearest one hundred?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.682183nm in millimeters?\nAnswer: 0.000002682183","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 + 8*j**2 - 2*j + 8. Let o(n) = n + 1. Let h(z) = k(z) + 3*o(z). Let y be h(-8). Solve -y*s - 13 = -1 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159683646?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(720)*3 + -1 + (-4*sqrt(55)\/sqrt(396))**2)*5.\nAnswer: -125\/9 + 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 3*g = 44, 9*g = 3*b + 4*g - 65. Suppose -r + 21 = -5*s + s, 5*s = -r - 15. Solve r*i + 4*h - 7 + 2 = 0, 2*h - b = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2189 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*z**2 - z**2 + 3*z**2)*(6 - 25 + 53)*(3*z**2 + 2*z**2 - 2*z**2).\nAnswer: 918*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 divided by -3?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58*g - 36*g - 4*g)*(-3*g + 13*g + 13*g) as h + v*g + b*g**2 and give b.\nAnswer: -2254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w - 9. Let g(p) = 4*p + 8. Let b(q) = 4*g(q) + 3*y(q). What is the common denominator of b(1) and 46\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (9 - 5 - (-1 - -5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.22, -4, -1\/13?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.025 times 8.085?\nAnswer: 0.202125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 48*l**2 + 3*l + 151. Let j be f(-48). Let n(x) = -5*x - 13. Calculate n(j).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (14 - (7 - 3 - 8) - 15)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 217, -8, -13, 5, 2.\nAnswer: -13, -8, 2, 5, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 35*w**2 - 245*w. Let v be q(7). Factor 1\/5*l**4 - 1\/5*l + 1\/5*l**3 + v - 1\/5*l**2.\nAnswer: l*(l - 1)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10086856 and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**6\/60 - q**5\/60 - q**4\/24 + 4*q**3\/3 - 5. Let k(o) be the third derivative of x(o). What is k(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31723\/4 + -7930. Let s = -2 - -2.1. What is the closest to s in y, 0.07, 2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - m + m + 4*m + 0 + 0 + (-3*m + m + m)*(0 + 0 + 2) + 6*m + 0*m - 3*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -102 - -4?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + sqrt(19) + -2 + sqrt(19).\nAnswer: 2 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*n = 758 + 19 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*x + 6*x + 18. Suppose -2*i - 10 = -3*i. Let t be 31\/5 - 2\/i. Are x and t equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the second derivative of 5*g**7\/84 - g**6\/4 - g**5\/4 + 5*g**4\/4 + 5*g**3\/12 - 15*g**2\/4 + 394*g - 2. Solve b(z) = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 861 and 1213149.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -8. Is t equal to -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -61. Let p(l) = 2*l**2 - 4*l - 4. Let d(c) = 2*c**2 - 5*c - 5. Determine a*d(y) + 5*p(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3148 - 3213.58. Let q = -66 - n. Let g = 4.22 + q. Which is bigger: -2\/5 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*n**2 - 2*n + n + 13*n**2 + 3*n - 2*n**2.\nAnswer: 6*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 94c (base 15) in base 4?\nAnswer: 200301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12b741 (base 14) to base 12\nAnswer: -271bb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-6))\/1*(-4)\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 15, 2*t - t = 2*j - 1. Let r(k) = 39*k**3 - k**j - 19*k**3 - 21*k**3 - 24. Give r(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159370158?\nAnswer: 2, 3, 26561693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34486.83 rounded to the nearest 100?\nAnswer: 34500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.14 and 42406.\nAnswer: 5936.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -557, -599, -657, -737, -845?\n\"Answer: -m**3 - 2*m**2 - 29*m - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 563, -5, -7, 5 in descending order.\nAnswer: 563, 5, 3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o - 11. Suppose 0 = 8*l - 3*l + 4*i + 1, 5*i = -4*l + 1. Let a(f) = f + 1. Calculate l*a(u) + q(u).\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-54)\/81*(-9)\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*r**3 - 23*r**3 + 1810*r - 7*r**4 + 1 + 2*r**4 - 1809*r + 121*r**2 as h*r**2 + c*r + d + f*r**3 + n*r**4 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 2, -20.4, -4, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2277?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5348 and 756?\nAnswer: 144396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 3*q)*((18*q + 0*q + 3*q)*(2*q - 5*q + q) - q**2 + 1 - 1).\nAnswer: -129*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1701 + -1695 - ((1 - (-2 - -2)) + 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a. Let g be j(6). What is the highest common factor of 108 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4495622?\nAnswer: 2, 2247811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 9, y: 1, a: 2, p: 5, x: 1}. What is prob of sequence pax?\nAnswer: 5\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (44\/(-12))\/((20\/(-36))\/5). Differentiate -29*q + z*q - 1 - 1 + 40*q wrt q.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 6435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/10 and 37\/19.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 78956 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mccm when four letters picked without replacement from {c: 2, l: 10, m: 6}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2007 + -1872. What is the lowest common multiple of a and 195?\nAnswer: 1755","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -21212122211121?\nAnswer: 21212122211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-13)*i*i*i**(-2\/11)*i*i*(i**0)**(-28))**(2\/55) assuming i is positive.\nAnswer: i**(-202\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 172276719869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -16*v + 315. Suppose -v*s + 80 = s. Solve -s*j + 8*j = 12 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 139 - 88. Let a = s - 67. Is a > -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16111000 rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 11*r**2 + 27*r + 8. Let h be m(-6). Let i = 46 + -33. Solve h = -0*w - i*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -84754 by 5420.\nAnswer: -42377\/2710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + 0*d + 3*d**3)*(-57 + 57 - 10*d) + (-3 + 3 - 3)*(11*d**4 - 10*d**4 + 44*d**4) as f*d**2 + c*d + k*d**3 + v + n*d**4 and give n.\nAnswer: -165","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2.8*14.57\nAnswer: -40.796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -540 (base 9) to base 2.\nAnswer: -110111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 312240102 + 34?\nAnswer: 312240141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -2845, -0.5, 2?\nAnswer: -2845","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of 0*h**5 + 0*h + 0*h**2 - 1\/1260*h**6 - 2 + 0*h**4 + 2\/3*h**3. Let q(o) be the third derivative of y(o). Factor q(g).\nAnswer: -2*g**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 + -59.9. Let k = -7648.03410931 + 7644.13411. Let o = r - k. What is o rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > -1018\/484033?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1349 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 359, 628, 897?\n\"Answer: 269*g + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + v - 60 = 0, -2*d - d - 2*v - 51 = 0. Let q(r) = -r**2 - 19*r - 10. Give q(d).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3748054 (base 12) to base 10\nAnswer: -10796608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -470, 2.\nAnswer: -470, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**3 - 2*d**2 + 2*d**2)*(58 - 58 + 9*d) + d**4 + 9 - 9.\nAnswer: -8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -10.\nAnswer: 9.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 5 - 3 = 0. Let b(m) = m + 9. Let g be b(n). Solve -15 = -g*w - 4*k, 2*w = -3*w + 5*k - 30 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 10:14 AM?\nAnswer: 10:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 22*p**2 + 28*p - 6. Let z(y) = -y**2 - 1. Let k(b) = -s(b) + 6*z(b). Let x be k(14). Solve -o + 0*o - 3*r - 1 = x, 2*o = -5*r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 92403, 92404, 92407, 92412, 92419?\n\"Answer: n**2 - 2*n + 92404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 63716928.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -3*k**2 + 4*k + 22858. Let i(c) = -c. Determine z(i(s)).\nAnswer: -3*s**2 - 4*s + 22858","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 644, 1321, 2000, 2681?\nAnswer: 3364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + y**2 + y + 16. Let w be j(0). Let u = -1 - w. Let l = -1001 + 984. Is l <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 - 357. Let h = u - -322. Solve m + 0*f + 1 = 2*f, 2*m + h = f for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*r + 480*r + 22785 = -394*r for r.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 i when three letters picked without replacement from {z: 4, t: 2, o: 1, y: 2, i: 7, h: 1}?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4151416689?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(3\/(-27)*1). Calculate the remainder when 60 is divided by 2\/(6\/v) - -24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1150450459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**2 - 206*u + 25. Give j(34).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 18*p - 8. Give k(-4).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 3*g = -360, -43*z = -42*z - 4*g - 175. Does 108 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven halves of a kilometer in meters?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -8416689, -16833572, -25250455, -33667338, -42084221, -50501104?\n\"Answer: -8416883*x + 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpe when three letters picked without replacement from eppjf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 971451.\nAnswer: 3, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 8*f + 81. Let q be j(21). Suppose 2*n + 2*t = q, 2*n + 3*t - 706 = -2*n. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*h = 25*h + 72. What is the least common multiple of 72 and h?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 0.03477852\nAnswer: -0.20867112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1456286 - 592286. Round v to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60227032 divided by 1321?\nAnswer: 45592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 376712?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-24) + 2\/8 + (-11275)\/(-1650). Sort a, 0.2, -4, 5 in decreasing order.\nAnswer: a, 5, 0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6)\/((-4)\/2) - 3. Find i such that 3*i - 4*i**3 + n*i + i**3 + 0*i**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2023*k + 2770 with respect to k.\nAnswer: 2023","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/3306 and 20\/207.\nAnswer: 228114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q. Let k(d) = 12*d - 4. Give v(k(a)).\nAnswer: 24*a - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/8 in -1\/6, 0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3*(1035\/437)\/(-15)?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) -2217 (c) -2\/11 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**2 + 2*t**2 + 3*t**2)*(3*t - 3 + 3)*(1 - t - 1).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -5. Let q(v) = v + 6. What is the units digit of q(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.1 - 0.1. Let i be 3 - ((-141)\/36 - 2). Let u = i - 26\/3. What is the smallest value in u, -1\/4, a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -103 + 107 + 3*s - 6*s + 730*s**2 - 738*s**2 to u*s**2 + o + i*s and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3\/(-78)*-4 - (-1955)\/221 and 7.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -473 greater than or equal to -472?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -38673 rounded to the nearest one thousand?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-184)\/(-6) - (-8)\/(-12). Is k*((-24)\/20)\/(-1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3944631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -8*g + 5. Let q(d) = 4*d - 2. Let y(f) = -6*m(f) - 15*q(f). Let r(h) = -2*h. Determine r(y(p)).\nAnswer: 24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -51 + (-1 - -5) + -3. Let m = -45 - f. What is the second derivative of -24 - m*t + 24 + 3*t + 8*t**3 wrt t?\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 13*g**4 - 7*g**3 + 7*g**2 + g + 7. Let t(q) = -4*q**4 + 2*q**3 - 2*q**2 - 2. Let o(d) = 14*t(d) + 4*z(d). Find the second derivative of o(i) wrt i.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 + 16*x - 54. Calculate the lowest common multiple of 2 and i(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21015)\/1500 + (18 - (17 + (-6 - 7))).\nAnswer: -1\/100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 91464 and 5217?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*z - 5*y, -5*y - 22 - 6 = -4*z. Suppose 0 = -z*t - 3*b + 245, 0*t - 3*b = -3*t + 330. Calculate the remainder when t is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + -0.2. Let d = n - 0.2. Put 0.3, d, -5 in ascending order.\nAnswer: -5, d, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 66, -86, -364, -774, -1322, -2014?\n\"Answer: -a**3 - 57*a**2 + 26*a + 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1555\/357 + 244\/51. Find z, given that 0 - 18\/7*z**5 - 3\/7*z**4 + 18\/7*z**3 + l*z**2 + 0*z = 0.\nAnswer: -1, -1\/6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -21005, -20180, -19355, -18530?\n\"Answer: 825*u - 21830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 190, -5, -2, 403, -1, -120 in ascending order.\nAnswer: -120, -5, -2, -1, 190, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/(-150)*-22)\/(11\/165)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4486, -5044, -5970, -7264, -8926, -10956?\n\"Answer: -184*v**2 - 6*v - 4296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/2? (a) -1838 (b) -3\/2 (c) 1\/134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of -2*w**5\/5 + 121*w**4 - 2*w**3\/3 - 14*w**2 + 169. What is the third derivative of y(c) wrt c?\nAnswer: -48*c + 2904","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -3*i**3 + 2*i**2 + i - 4. Let t be l(4). Find the common denominator of (-3*1)\/(t\/(-56)) and 103\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -6\/11, -0.05, -2, 2\/13, 18.6, -4?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 273 - 87. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 536689\/3480 - 7225\/87. Let m be (-6)\/15 - (1 + 17166\/(-240)). Let s = t - m. Find the common denominator of -19\/6 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 501*p + 60648. What is h(-121)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 27 + -37. Let g be (-32)\/(-30) - (-4)\/t. What is the biggest value in 6, -4, g?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r**3 - 12*r**2 + 18*r. Let z be u(4). Suppose 12*j - 4224 = -z. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22941 = -890*d + 14463 + 25786 for d.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 2*x - 29. Suppose 16*f = 17*f - x. Is f a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 13*q - 4. Let p be f(4). Suppose 2*k - p = -0*k. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/126*(-35)\/10\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 - 4*p**2 - 4*p - 5. Let z be d(5). Suppose -4*r - m + 374 = 4*m, z = -3*m + 6. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -0.5, -0.01, -1\/74, -1163, 3?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*l - 4*l = 4*g - 4*l - 178, 0 = -l + 4*l + 9 for g.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 2.48, -1\/3, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 392230 is divided by 13486?\nAnswer: 1136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4975223 + -0.2875206. Let r = s - 0.21. What is r rounded to 6 dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/(-15) - 1)*(-165)\/(-22).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, y: 2, k: 2, p: 3, q: 4}. Give prob of picking 1 z, 1 q, and 2 y.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = -o + 3*s - 13, -2*o - 5*s + 29 = 0. Suppose -o*q = -4*q - 8. Let k(r) be the third derivative of -r**4\/12 - 5*r**3\/6 + 44*r**2. Give k(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgwuv. What is prob of sequence vg?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12 + 20. Suppose -4*s + 80 = f. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 3*j + 386. Let c(r) = 82*r**2. What is c(w(b))?\nAnswer: 738*b**2 + 189912*b + 12217672","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3031 - 2960. Calculate the remainder when 564 is divided by b.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/56)\/(236\/(-413))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-50) - (-3148)\/25. Let u = -31 + b. What is the remainder when u is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-28)*x*x**13)**(-2\/79))**43 assuming x is positive.\nAnswer: x**(1204\/79)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 375.5 + -423. Let r = 31 + -92. Let c = r - f. What is c rounded to 0 decimal places?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j**2 - 52*j - 29. Is v(-13) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(22) - sqrt(22))\/sqrt(2))**2 - ((sqrt(132) + sqrt(132)*3)\/sqrt(12))**2 - (-3*(-1 + sqrt(539) + 1))**2.\nAnswer: -4983","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.5, 4, -914, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109 + 107. Let d = -1.1 - -1. What is the closest to d in -0.1, -5, a?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -30432, 17, -4 in ascending order.\nAnswer: -30432, -4, 0, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 1:36 PM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.6 + -1.06. Let u = 12.6 - 13. Let h = u - w. Round h to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 843662327 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 3*m - 2*m)*(2 + m**3 - 2)*(2 + 1 - 5)*(1 + 2 - 2 + (1 - 1 + 2)*(3 + 3 - 4) - 4 - 1 + 3).\nAnswer: 12*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.1913997 to one dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 18301 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**2 - l + 5. Suppose -5*j = 2*q - 14, -4*q = -8 - 0. Let z(v) = -4*v + 26 + 3*v**j - 2*v**2 - 7*v**2. Let g(h) = -16*w(h) + 3*z(h). Determine g(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11552373 and 24?\nAnswer: 92418984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 divided by -2\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*r + 178 - 178.\nAnswer: -50*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4141*t*v - 19538*t wrt v?\nAnswer: 4141*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 28*n**2 - 28*n - 28. Let k be v(-27). Let i(h) = 7*h + 1. Calculate i(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 7:03 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1100 - -1402. Calculate the remainder when l is divided by 34.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s - 3*b - 7, -s = -642*b + 647*b + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4177559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -7*s**2 + 5*s + 4. Suppose -8*r + 4 = -4*r. Let k(v) = -v**2 + v + 1. Let c(i) = -i**2 + 5*i + 1. Let j be c(6). Give j*k(m) + r*z(m).\nAnswer: -2*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128013.\nAnswer: 3, 71, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/15 + 2232*d**2\/5 - 2490912*d\/5 + 926619264\/5.\nAnswer: -2*(d - 1116)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(475) + sqrt(475)*-1 + 4 + 4 + sqrt(475) + (0 + sqrt(475) - sqrt(475)))**2.\nAnswer: 80*sqrt(19) + 539","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/6 and -61\/222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.458 + -0.258. Let o = -5 - -8. Suppose q + 4 = o. Which is the nearest to q? (a) -0.4 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/4*14181\/(-7172)*22.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/3)\/(1\/(-3)). Let o = 20 + -20.4. Let m = -0.1 + 0.1. Which is the third biggest value? (a) m (b) o (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 - -0.0157.\nAnswer: -3.9843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1438*f**2 + 2741*f**2 - 1306*f**2.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -53 (b) -3483\/7 (c) -0.3 (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (75\/(-10))\/((-1725)\/4140)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ngalallluu. What is prob of sequence ul?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3084685688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 11, 60, 171, 374, 699, 1176?\n\"Answer: 5*i**3 + i**2 + 11*i - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 at most as big as 201?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4331330 (base 5) to base 16.\nAnswer: 120ed","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.2 - -0.4. Suppose -5*n - 17 = -4*x, -2*n + 10 = 2*x + 2*x. Let y = 2.1 + -2.3. Which is the nearest to j? (a) n (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 23*o - 1. Let y be f(-23). Let u = -4\/137 - -334\/2055. Let v = -4\/45 - u. Which is the nearest to 1? (a) v (b) y (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, h: 6, m: 1, g: 5, k: 5}. Give prob of sequence gkm.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 4.6.\nAnswer: 0.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-30)\/(-175))\/(9\/(-30)))\/(-2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19 + 65. Let w = -141 + j. What is w rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t + 2*t - 2*t + 3*t in the form f + m*t and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -4*j + 2. Let s(w) = w**3 + 3*w**2 - 2*w + 1. Let f be s(-3). Let a = 5 - f. Let n(d) = -5*d + 3. Determine a*n(k) + 3*l(k).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -962 - -973. Solve -16*i + x + 53 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15780?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -181 + 0.100409.\nAnswer: -180.899591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -7. Let c(y) = -y. Let x be c(0). Let q = 0 - x. Solve q = -b*k + 5*k + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 4*p - 9 = 0, -p - 1 - 6 = -5*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z - 6*z)*(-5 + 5 + 2) - 3*z + 2*z + 2*z.\nAnswer: -9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 7544645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -10*s**2 + 1388*s - 10. Let k(w) = -7*w**2 + 925*w - 7. Give 7*k(d) - 5*n(d).\nAnswer: d**2 - 465*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 25621 take away -0.021?\nAnswer: 25621.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, y: 2, f: 1, l: 1}. What is prob of sequence lpyf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 18 + 0 = 0. Let y(k) = k**3 - 5*k**2 + 3*k + 7. Let q be y(4). Put m, -3, q in descending order.\nAnswer: q, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 845 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 + 0)*(-2*o**2 - 3*o**2 - 5*o**2) - 4 + o**2 + 4 to the form s*o + z + t*o**2 and give t.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 - 3382*y - 280169. Determine o(-85).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -28428116 divided by -142?\nAnswer: 200198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 12:12 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35\/343648 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_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: Calculate the highest common divisor of 2318 and 793.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 759806*l*r + 11605052*l + 11*r wrt r.\nAnswer: 759806*l + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 3*j - 2. Suppose -4*g = -2*w - w + 26, -w + 2*g = -12. Suppose w*m - 6*m - 32 = 0. Let s = m - -5. Give p(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15b63b (base 12) to base 11\nAnswer: -2348a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -3010?\nAnswer: 3003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128 + -118 - (1 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.3, 34, -2, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i**3 + 5*i + 54. Let a(p) = -15*p**3 - 10*p - 106. Let t(s) = -4*a(s) - 9*g(s). What is the derivative of t(h) wrt h?\nAnswer: -9*h**2 - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of 1\/6*b**3 - 1\/30*b**5 - 11\/80*b**6 + 45*b**2 + 0*b + 25\/144*b**4 + 0. Factor i(c).\nAnswer: -(3*c + 1)**2*(11*c - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75*(-11)\/66)\/(-11*21\/1848)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13382 divided by 4?\nAnswer: 6691\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/(-2))\/(9\/(-12)). Suppose -n*f = -6*f + 8. Suppose 5*p - 29 = 4*t, -4*t = -f*p + 8 + 6. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 5*i + 74. Let k be l(-15). Let r = -36\/85 - -2867\/6970. Which is greater: k or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k + 2. Let f be x(6). Let o be (-3176)\/(-8) + (1 - -1) + f. Suppose -43 = -3*d + o. What are the prime factors of d?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35160 and 93840.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.4 from -301.\nAnswer: -299.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - h = 38, -2*h - 34 = -3*g + 6. Let l = g - -10. Suppose 2*z + 0*z - 32 = 5*i, -l = -5*z - 2*i. Is 4 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8*7*1*((-744)\/48)\/31.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/65)*m*m**(1\/3)\/m*m*(m**(-2\/5))**(-28\/5))**(-41) assuming m is positive.\nAnswer: m**(-141614\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 1. Let p be b(6). Let g = 3 - 2. Let q = g + -0.8. What is the closest to 2\/3 in q, p, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2488 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -268, -1086, -2446, -4342, -6768?\nAnswer: -9718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 5456 = 4*z, -5*z - 108*p + 109*p - 6849 = 0. Is -2 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16855535 to the power of 1\/2, to the nearest integer?\nAnswer: 4106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 84*b - 9. Is k(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 7 = -3*p, -2*p = -6*p - 4*w + 24. Is (-3*p)\/((-3)\/9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11464407*a*k*v**2 + a*k + 1113*k*v**2 - 11*k*v + 666*v - 2 wrt a.\nAnswer: -11464407*k*v**2 + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r + 2. Suppose -8 = 2*j - 6*j. Let n be k(j). Let m = -10 + n. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u - 8. Let m be y(-5). Let r = -13 + m. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbzzxzkkbszkz. What is prob of picking 1 x, 1 b, and 1 s?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4193, 8387, 12581, 16775?\n\"Answer: 4194*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 + -2885007942\nAnswer: -2885007950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 2.9. Sort 9, n, -0.4 in ascending order.\nAnswer: -0.4, n, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to -308197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2108 - -2180. What is the lowest common multiple of 84 and k?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of -g**5\/10 - g**4\/8 + g**3\/2 + 5*g**2\/4 + g - 6. Let q(a) = 0. What is a?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 36 = 2*o. Suppose 0 = 16*c - o*c - 2016. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -4*j**2 - 18*j. Suppose 12*v - 125 = -13*v. Let p(s) = -3*s. Let f(h) = v*x(h) - 30*p(h). Let z(o) = -o**2. What is f(z(c))?\nAnswer: -20*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/25)\/k)\/k**(-20))**(-37) assuming k is positive.\nAnswer: k**(-17464\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/5 + (-78)\/5. Let b(t) = t**3 - 7*t**2 - 8*t + 2. Let f be b(8). What are the prime factors of (56\/g)\/((-1)\/f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5698 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -161*b**3*x**2 + 18*b**3*x + b**2*x + 18*b*x**2 + 239*b*x - b wrt b.\nAnswer: -966*b*x**2 + 108*b*x + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o - 12 = 0. Suppose 4*v = 479*n - 478*n + 10, 5*n - 34 = -v. Solve -2*s = -v*s - o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -4*x - 72. Solve 0*o - 2*o = -x for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 465 + -465.5. Which is the nearest to 0.1? (a) -0.6 (b) w (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8468, 16805, 25142?\nAnswer: 33479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 372368991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) + (-24185)\/(-14)*1. Let l be h\/7 - 25\/(1050\/(-12)). What is the greatest common factor of 52 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28101\/(-27) + 4\/(-18). Let a = w - -5158\/5. Let h = 55\/16 + 495\/112. What is the common denominator of a and h?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2219 - 1359. Is 43 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 - b**2 - 22204 - 13*b**2 + 44418 - 22214.\nAnswer: -11*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f. Let s(y) = -475 - 481 + 955 + y. Let l = 1 + -1. Suppose -4*o = -l - 4. Calculate o*s(u) - 2*z(u).\nAnswer: -u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1211782679 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -93*s**4\/2 - 5*s**3\/6 + 17*s**2 - 160*s + 1. What is the derivative of x(f) wrt f?\nAnswer: -1116*f - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of -87*o**8\/56 - o**5\/20 + 1445*o**4\/12 - o**2 - 289*o - 2. Find the third derivative of f(m) wrt m.\nAnswer: -10440*m**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**5\/5 - 2*h**4\/3 + 2*h**3\/3 + 4*h**2 - 13*h. Find s such that n(s) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3652, 3650, 3648, 3646?\nAnswer: 3644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14010 - -336359\/24. Let f = -3815 + 103022\/27. Calculate the common denominator of f and u.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:19 PM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28222771 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/3 + (-214)\/6. Let i = n + 37. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v - 2*v + 4342. Let q = -252 + v. Calculate the remainder when q is divided by (0 - -24) + (-3 - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*j**2 - j**3 + 14*j**3 + 1 + 0*j**3 + 1 - 12*j**2 + j**4 + j in the form d*j**3 + y*j**2 + m + u*j + a*j**4 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36765208 - 36765241 + 2*l**2 + 73530449.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -89228\nAnswer: 1\/89228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 4\/3, 87, 5\/6, 1, 36 in decreasing order.\nAnswer: 87, 36, 4\/3, 1, 5\/6, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/48 - (-3)\/(-9). Let l(m) be the third derivative of -m**2 - 1\/12*m**4 - 1\/6*m**3 - c*m**5 - 1\/120*m**6 + 0*m + 0. Calculate l(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 103*o - 22*o + 572 - 167. Let z(n) = -n**3. Let u(m) = -m**3 + 3*m**2 - 2. Give o*z(l) - u(l).\nAnswer: 6*l**3 - 3*l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8308 and 32?\nAnswer: 66464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((2*sqrt(1539) - sqrt(1539) - sqrt(1539))**2 - sqrt(1539) - 1*sqrt(19)*-3).\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 57853 - 41286. What is q rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -x + 7, 10 = -z - 3*z + 2*x. Let i = 19 + z. Let k(h) = -h + 1. Let s be k(-4). Solve 4*v = v - 3*w - i, -s*v - 26 = w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 677121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 + 7*u - 10. Suppose 41 + 3 = -4*f. Let s be x(f). Let q(n) = -n**2 + 4*n + 1. Let l be q(2). Solve -9 + s = l*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 - -6. Let k be (-17223)\/3 + (-9)\/a. Let g be k\/(-14) - (-4)\/(-14). Round g to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 15*p + 44. Let l be j(4). Let u be (-6)\/39 + 120\/l. Solve -5*w + 4 + u = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/34*728\/(-546).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r**3 + 7*r**2 - 7*r. Let b(n) = 3*n**3 - 8*n**2 + 8*n. Calculate 5*b(y) + 6*v(y).\nAnswer: 3*y**3 + 2*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*q + 3*d, 4*d - 7 = 2*q - 19. Suppose q*f + 41 = f - z, -4*f + z + 155 = 0. Suppose -3*r + 2*a = -137, -3*a - f = -r - 4. Is 7 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -1 (c) -46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/11 (b) -1 (c) 2\/81 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*q - 95 + 95)*(-1 + 1 - 1) - 5*q + q - 3*q + 2*q - 4*q + 0*q + (2*q - 3*q + 2*q)*(-3 - 4 + 5).\nAnswer: -30*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 678148413.\nAnswer: 3, 9349, 24179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2423 - 2435. Put 13\/4, -5, l in decreasing order.\nAnswer: 13\/4, -5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4612 (base 7) to base 6\nAnswer: -11431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 56*p**4 + 1840065*p**3 + 561728380*p.\nAnswer: 672*p**2 + 11040390*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 236*n**3 + 4*n - 3 - 3*n - 3 + 5 + n**2. Let f be q(1). Let g = -165 + f. Is g a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 2:35 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 244287 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/15)\/(87\/(-290)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, q: 2, n: 5, t: 3}. What is prob of picking 1 q and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vev when three letters picked without replacement from {v: 2, b: 2, e: 6, n: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 22 = 5*a, -11 = -4*y + 5*y + 2*a. Is 10 a factor of 29 - (-6)\/(-4 + y + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 24\/(1*(-1)\/18*-9). Solve -y*w = -35*w + 13 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 346 - 2071\/6. Suppose 0 = 5*y - 2*y. Does o = y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -509*v**8\/168 + v**4\/12 - 232*v**3\/3 - 2*v**2 + 61*v. What is the second derivative of c(j) wrt j?\nAnswer: -20360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 10*n**2 + 9*n. Suppose 4*h = -16, 6*a = a + 4*h - 19. Does 14 divide w(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of o**5\/20 + 7*o**4\/12 - 5*o**3\/6 - 2*o**2 + 3*o. What are the prime factors of t(-7)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -270*a - 2548. Let q(l) = 4*l. Give q(f(w)).\nAnswer: -1080*w - 10192","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 513282821?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s = 18*s - 64557. List the prime factors of s.\nAnswer: 3, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -39*m**2 + 41*m - 65. What is z(3)?\nAnswer: -293","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**4*f\/(f**0\/f))\/(f**(-1))**(-39))\/((f\/((f*f**(-1\/4)*f*f)\/f))**(1\/39))**(-20) assuming f is positive.\nAnswer: f**(-434\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 15)*18\/4. Suppose 3*d = 4*a - 28, -3*a + 3*d + 16 = -8. What is the tens digit of (i\/18)\/((-1)\/a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1 + (-2 - 1 + 1)*(-4 + 1 + 2) + 5 + 0 - 3 + 1 + 1 + 2 + 3 - 1 - 4)*(-40*g - 44*g - 22 + 22 + (-6*g + 2*g + 2*g)*(0 + 1 - 3)).\nAnswer: -560*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - -8. Let n(f) = f**2 + 275. Let l be n(p). Let v = l + -196. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*n**2*s**3 + 33*n**2*s**2 - n**2 - 230*n*s**3 + 7*n*s**2 + 13 wrt s.\nAnswer: 126*n**2 - 1380*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of m**4\/2 - 2*m**3\/3 + m**2 - 9. Let g(s) = s**3 + s. Determine 3*g(y) - t(y).\nAnswer: y**3 + 2*y**2 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -2*g - 5*c + 11, 0 = -2*g - 2*c + 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 116 is divided by 33?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13401929149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 0 + 11 + -1 + -13\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3. Let r(w) = -109*w**2 - 142. Let z(b) = -4*i(b) - r(b). Differentiate z(s) with respect to s.\nAnswer: 218*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2300, 11880, 28744, 52892, 84324?\n\"Answer: 3642*c**2 - 1346*c + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o + 26*o = -4*o + 645174. What is the ten thousands digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ndaa when four letters picked without replacement from dnaaataadaaaaaa.\nAnswer: 11\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 558a318 - 10?\nAnswer: 558a308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-196 - 221 - 167)*(0*t - 3*t + 2*t)*(-6 + 3 + 1) to i*t + j and give i.\nAnswer: -1168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-8\/3)\/(o*o**(-5\/2)*o))\/(o**6\/o)**(-2\/53))**(-2\/73) assuming o is positive.\nAnswer: o**(629\/11607)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, 4, 1\/6, -3.444, -0.3, -5 in descending order.\nAnswer: 87, 4, 1\/6, -0.3, -3.444, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54, -50, -42, -30, -14, 6, 30?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 140 a factor of 221677120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 462947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 - 4*f**2 - 28*f - 27. Let k be r(8). Let q = -0.4 - 1.6. Which is the smallest value? (a) k (b) q (c) -0.3 (d) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2685 and 105.\nAnswer: 18795","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**4\/3 - 68*w**3\/3 - 506*w**2\/3 + 408*w - 216 = 0.\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*y + 64*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 2 - -1) + 1 + -1 + -10995 + 10962?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -4*n + 123. What is the remainder when q(-6) is divided by 38?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 244, 1052, 2424, 4360, 6860, 9924?\nAnswer: 13552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/(-7) + (-4)\/(-14). Let u = 1.82 + -1.548. Let f = u + 0.028. What is the nearest to -0.1 in f, x, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -14. What is the remainder when 15 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (164\/(-10))\/((-2138)\/5345)?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -168523 + 37523. Round m to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 2. Which is the third biggest value? (a) -2 (b) x (c) 1\/7 (d) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - 11. Let j(q) = 7 - 7 - z*q. Suppose 0 = 3*d + 1 - 4. What is j(d)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -5*g**4 - 1905*g**3 + 9615*g**2 - 13495*g + 5790 = 0.\nAnswer: -386, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -1179*a**5\/5 + a**4\/4 + 121*a**3\/3 + 2*a**2 + 3058. What is the third derivative of w(y) wrt y?\nAnswer: -28296*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136697 divided by -8.\nAnswer: -136697\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 26029 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 12*b - 129. Let p be g(11). Suppose -p*s - 3*m + 57 = 0, 2*m = 5*s - 2*m - 122. Calculate the highest common factor of 143 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + -fa04?\nAnswer: -fa09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -16524, -0.23, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5441*a**3*f**3 + 70*a**3 + a**2*f**3 + 43*a*f**2 - 2*a - 2*f**3 wrt f?\nAnswer: -32646*a**3 + 6*a**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 4*c + 6*c)*((2 + 1 - 2)*(-6*c + 2*c - 3*c) - 4*c + c + 0*c - c - 4*c - 4*c + (-2*c + 5*c + 0*c)*(-1 + 1 - 1)) + (2*c + 2*c - 2*c)*(-c + 4*c - c).\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 4*x**4 - 556*x**3 - 4652*x**2 - 7620*x - 3528 = 0.\nAnswer: -6, -1, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/n**0)\/n**1)\/(n\/n**(1\/4)*n*n\/(n**7*n)*n) assuming n is positive.\nAnswer: n**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2977*p - 1. Is c(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 24762.152226 and 0.3868.\nAnswer: 24762.539026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 8*s**2 + 14*s + 4. Calculate the remainder when 119 is divided by c(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -55 + 55 - 5*n. Let v(h) be the third derivative of h**5\/30 - 2*h**2 + 25*h. What is v(d(q))?\nAnswer: 50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3412 + -5?\nAnswer: 3403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwss when four letters picked without replacement from sssssswssssssssssws.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 + 1265964906.\nAnswer: 1265964906.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r - 11. Let t(y) be the third derivative of 23*y**2 + 0 + 2*y + 1\/24*y**4 + 0*y**3. Determine t(h(o)).\nAnswer: -o - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 4*a - 2*n - 52, 4*n + 34 = 3*a. Let d(j) = -j**2 - 9*j - 2. What is the least common multiple of a and d(-8)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -24\/7, -2479847?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (3374*h - 2125*h - 2191*h)*(-1 + 0 + 0)*(4*h**2 - 6*h**2 + 4*h**2) as a*h**2 + z*h + t*h**3 + s and give t.\nAnswer: 1884","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-16)*(4 - 0). Let f be (-3)\/30 - z\/(-2). What is i in 2\/5*i**4 - 2\/5*i**5 + 0 + 0*i + 2\/5*i**3 - f*i**2 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tps when three letters picked without replacement from {s: 2, c: 5, p: 2, t: 4}?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + w = 0, 0 = -2*m - 4*w + 258. Let g = 130 - m. Suppose 0 = 5*u - t - 118, -u - 2*t + 22 = -6. Solve -5*n + u = -g for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/100 and -97\/1100.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the third derivative of 3*w**4\/8 - 2*w**3\/3 + 2*w**2. List the prime factors of r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 + 2. Let l = 3.4 + -3. Let x = l - -1.6. Sort x, h, -1\/4 in increasing order.\nAnswer: -1\/4, x, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-6)*(-11 - 0 - 421559) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4651, -9937, -15271, -20659, -26107, -31621?\nAnswer: -37207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 8695\/(-13912)*(-176)\/10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.285 and 1.\nAnswer: -0.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 375.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -7, -1957, 19?\nAnswer: -1957","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8154\/5 + (-18)\/(-54)*(-6)\/(-10) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1530? (a) 0 (b) -5 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((6 - 2) + 0)*20\/(-80). Let r be -2 + -4 - (-8 - -5). Put 1, s, r in descending order.\nAnswer: 1, s, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131*i**3 + 1 - 3 + 47*i**3 - 26*i**2 + 2 wrt i.\nAnswer: 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8225749 is divided by 4184?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-2 - (3 + -1 + -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11.1 - 11. Let z = -0.0109 - -1.0109. What is the second biggest value in 5, -1\/2, g, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/3 + 3 + 1. Let y = 98 + -61. Suppose -z*w - y = -4*w. What are the prime factors of w?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 74, 39, 4, -31, -66?\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 4296.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + ((-10)\/3 + 3)*3. Calculate the remainder when 40 is divided by 13 + 3 - 6\/(5 + r).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - 46\/(-7)) + 4\/(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*k + k = 799, j - k = 399. Let d = -270 + j. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -32634 to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -2*i**3 + 6*i**2 + 6. Let c = 2 - 8. Suppose 6 = 2*w - 4. Let p(h) = -2*h**3 + 5*h**2 + 5. Give c*p(y) + w*o(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-2\/65))\/(m*((m**(4\/11)*m)\/m)\/m) assuming m is positive.\nAnswer: m**(433\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {f: 5, k: 4, c: 7}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -5, 3, -1\/6, 0.03?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-6) - (-240)\/9. Let h = -16 + a. Calculate the remainder when 4\/((((-40)\/(-95))\/(-4))\/(-1)) is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2229255 and 55566.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(153)*-2 + -5 + 0 - ((sqrt(153) - 2*sqrt(153)) + -2 + ((sqrt(153) - (sqrt(153) + sqrt(153)*-1)) + 1 - sqrt(153)) + sqrt(153))) + 5) + 2)**2.\nAnswer: -96*sqrt(17) + 9796","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of -z**4 + 0*z**3 - 7\/2*z**2 + 0 + 15*z. What is the derivative of g(n) wrt n?\nAnswer: -24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**2. Let r(p) = -56902390*p**2. Calculate r(v(x)).\nAnswer: -227609560*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 4894*p**3 - 2447*p**3 - 243*p**2 - 2443*p**3 as t*p + m*p**3 + y + v*p**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15308 - 15253. Solve -5*a + w = -2, -51*w + g*w + 8 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14404451 to the power of 1\/2, to the nearest integer?\nAnswer: 3795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1182.54201 rounded to 2 dps?\nAnswer: -1182.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 1791?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -6*z - 2. Let c(r) = 13*r + 4. Let n(j) = -2*c(j) - 5*p(j). Determine n(3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from djddddwdjddjdjjdj. Give prob of sequence jj.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -113 times 0.3?\nAnswer: -33.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 13*z - 1. Calculate y(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sgctgzn. Give prob of picking 2 g and 1 t.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2208)\/1288*((-21)\/22)\/3.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d + 18*d = 4*r - 35, -5*d + 31 = 4*r. Suppose 0 = -5*a - 5*o + 55, 3*a + o = 14 + r. Solve 4 - a = -p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2155641\/4 or -538911?\nAnswer: -538911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -c**5\/4 - 775*c**4\/12 - 4940*c**3 + 15210*c**2 - c - 1406. Suppose j(n) = 0. What is n?\nAnswer: -78, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-3)\/18*-15.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 8415?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56.842 + -57. Let r = j - -0.138. Which is smaller: -0.4 or r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 85207 + 1334?\nAnswer: 86541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 250 + -157. Suppose 73 = -5*g + a. What is the remainder when 13 is divided by g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from xkuexukuxuk.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 q when two letters picked without replacement from {v: 1, x: 5, k: 2, a: 1, q: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -58266 or -58271?\nAnswer: -58266","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 11, 5, 0, -10, 29, -24 in decreasing order.\nAnswer: 29, 11, 8, 5, 0, -10, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of c**5\/60 - c**4\/12 + 2*c**2\/3 + c. Factor l(t).\nAnswer: (t - 2)**2*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -34 - 20. Let r = -10 + 12. Suppose -2*c = -4*y + 414, 0*y - y + r*c = -96. Calculate the remainder when y is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((60\/(-65))\/4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3123 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20\/27 + 328\/297. Which is the nearest to w? (a) -4 (b) 6 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*b + 152*b = 45220. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 39766, 39791, 39832, 39889?\n\"Answer: 8*k**2 + k + 39757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-167)\/(-13) + (-2)\/(-13) + 0. Suppose 1 = -6*f + t. Which is the third biggest value? (a) 3 (b) -0.4 (c) f (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10936 = -108*y + 81676. Which is greater: y or 647?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s - 1. Let a be i(4). Let z = 7 - a. Suppose 14 = -z*l + 54. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 10, w: 2, j: 5, g: 1, r: 2}. Give prob of picking 2 j, 1 w, and 1 g.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 c when four letters picked without replacement from {c: 13, n: 5}.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**3\/3 - 11*m**2 - 65*m - 96. What is the remainder when 82 is divided by t(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 531, 856, 1221?\nAnswer: 1626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/149275 and -9\/49?\nAnswer: 1044925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/4)\/(129\/344) + 64\/28.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 10:44 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.401 + 0.412. Let n = j + -0.01099635. What is n rounded to 6 decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/(-4 + 2))\/(-1). Let o be ((-6)\/(-2) + r)\/(-1). Let g(m) = -m**3 - 5*m**2 - 2*m - 6. Determine g(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 206*l**2 - 3206*l + 1741. Calculate y(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 12*b. Let m = -18 + 25. Let g(q) = -m*q + 4*q + q. Determine g(p(k)).\nAnswer: -24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3)*(-11952)\/4648?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 2*a - 8, -4*a + 16 = 4*g - 0*g. Suppose -v = -3*v - l + 38, 95 = 5*v + l. Calculate the remainder when v is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49340914*h - 59537558 wrt h.\nAnswer: 49340914","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**21*p*p))\/p*p*p\/(p*p*p\/p**(-2\/5)))\/(p**(-1\/3))**(-4) assuming p is positive.\nAnswer: p**(-386\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/((-45)\/(-4)))\/(5076\/(-34263))*-5?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.6 + 16.54. Let v = 27 + -13. Let z = k + v. Which is the biggest value? (a) z (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b, 2*b + 341 + 971 = 2*x. Suppose c - 150 = x. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 + -8 - -4 - (-11 - -17)) + 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 AM and 6:24 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 2*b**2 - 273*b + 1687. Give t(11).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435661 is divided by 15022?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let k be 164\/8 + 1\/2. Suppose -5*i + k = -494. Let f = -6 + i. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04457 rounded to three dps?\nAnswer: -0.045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8741 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - k**2 + 4*k - 2. Let g(f) = f**3 + 4*f - 2. Let h(r) = 4*g(r) - 5*w(r). Let b be h(4). Suppose -b*u + u = -12. Is 12 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -8 (b) -7428 (c) 2\/13 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 8:09 PM?\nAnswer: 10:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 + 1. Let g = -5 + 3. Let f be v(g). Let y = 0.4 - 2.4. Which is the closest to 0? (a) f (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-15)\/f*f**(-3\/7)\/f*(((f\/(f\/(f**0\/f)))\/f)\/f)**(3\/20) assuming f is positive.\nAnswer: f**(-2503\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t + 7. Let g = -586 + 593. What is the lowest common multiple of g and b(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001111000000111 - 1000?\nAnswer: -1011001111000001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39*j**4 - 3416*j**5 - 10*j**4 - 31*j**4 + 2*j**4 - 2*j**4 - j**5 + (1 + 0 - 2)*(j**5 - 5 + 5) + 2*j**5 - 5*j**5 + 4*j**5.\nAnswer: -3417*j**5 - 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 69\/2 of a gram in milligrams?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + k - 10*k - 1)*(41*k**2 - 44*k**2 - 44*k**2)*(-2 + 1 - 1) to the form j*k**2 + g + c*k**3 + m*k and give c.\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 6*j**2 + 14*j - 10. Suppose -3*s + 2 = -2*s. Calculate the least common multiple of s and m(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4830 + 4808 + 0*a + 2*a)*(7 + 2 + 1) to c*a + z and give c.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 103*f**3 + f - 60 wrt f.\nAnswer: 618*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 272216657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1910 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 6*q - 2*q. Sort 1, -1, q in decreasing order.\nAnswer: 1, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 - 2 - (351774 - 66). What is k rounded to the nearest ten thousand?\nAnswer: -350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tts when three letters picked without replacement from {s: 3, t: 7}?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a gram in milligrams?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*x - 46 - 18 = -89*x for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y - 12. Let h(d) = 6*d + 4. Let w(n) = -4*g(n) - 11*h(n). Let v be ((-2)\/(-6))\/(((-2)\/(-1))\/(-6)). Let j(b) = 1. What is v*w(t) + 5*j(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3919 + 3923. Sort 21, 0.5, 3\/13, x in decreasing order.\nAnswer: 21, x, 0.5, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d**2 + d)*(d**2 + 5*d**2 + 0*d**2 + 1 - 1 + 2*d**2 + (4 - 2 - 1)*(3*d + 2*d**2 - 3*d) - 2 + d**2 + 2 + (3 - 3 + d)*(-d + 2 - 2)).\nAnswer: 30*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57.53 - 0.33. Let m = 49 - r. Let w = m + 8. Is 0 < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -23107*g + 23107*g - g**2. Let c(z) = -57*z - 3. Determine m(c(b)).\nAnswer: -3249*b**2 - 342*b - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1152) + -2) - (6*(1 + sqrt(1152)) + sqrt(1152)))*1.\nAnswer: -96*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -250 (base 7) in base 14?\nAnswer: -97","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(-84)*((-6)\/90 - 116\/60)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2803.1281 rounded to the nearest one hundred?\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4 + 15\/4*u**4 - 15\/8*u + 5*u**2 - 25\/4*u**3 - 7\/8*u**5.\nAnswer: -(u - 1)**4*(7*u - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 16*t + 19*t + 6 - 11*t. Let m(s) = -23*s - 5. Let b(i) = 4*j(i) + 5*m(i). Does 17 divide b(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2288 and 3328?\nAnswer: 36608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -10221100?\nAnswer: 10221021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 409249131?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2201 (base 3) in base 7?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + 14. Suppose 3*d = 60 + 1020. Let z = d - 349. Calculate the remainder when y is divided by z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -14*z**3 + 5*z**2 + 5*z + 7. Let c be -10 - (-16 + -6 + 7). Let l(s) = 21*s**3 - 8*s**2 - 8*s - 11. Give c*l(u) + 8*n(u).\nAnswer: -7*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 at most as big as -918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17115 + -17116. What is the fourth biggest value in a, 3\/10, -1.7, 3\/7?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -398*d = -391*d - 35. Let o(n) = n**3 + 6*n**2 - 8*n - 2. Let m be o(-7). What is the second derivative of -11*r + 2*r + 24*r**d - m*r - 12*r wrt r?\nAnswer: 480*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246\/(-1353)*22\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1311313*d**3 - 1942317 wrt d.\nAnswer: 3933939*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -730 divided by 2?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -4.5 (c) -4 (d) -0.05 (e) 2\/5 (f) -1.11 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -3*q**3 + q**2 - 4*q + 10. Let s be k(-3). Find the second derivative of -3*b**5 + 82*b + 0*b**5 - s*b + 6*b**4 + 15*b**5 wrt b.\nAnswer: 240*b**3 + 72*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 899, 1086, 1447, 2018, 2835, 3934, 5351, 7122?\nAnswer: 9283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -12) + -17 - (0 - 4 - (-335 - -346))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**4\/12 - n**3\/6 + 3*n**2\/2 + n. Suppose 0 = -3*w + 14 + 1. Is 11 a factor of u(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-10)\/7)\/(-5))\/(2\/28). Suppose 0*d + 2*t - 32772 = -4*d, -r*d - 3*t + 32768 = 0. Suppose -9*k - d = -20*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7752 bigger than 6786?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*o + 3*o - 4*o)*(-1 + 1 - 2) - 4 + 2*o + 4)*(-9*o + 4*o - 4*o)*(14 + 9 + 1)*(0 + 2 - 4) as y*o**2 + b*o + g and give y.\nAnswer: -864","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -2 (c) 43 (d) 2\/11 (e) 0.2 (f) 2\/29\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 w when four letters picked without replacement from {w: 2, r: 1, o: 1, i: 2, u: 4, j: 7}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 8020834?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 2*b**2. Let i(r) = 400 - 393 + 3*r + r. Let s(p) = 4*p + 16. Let y(c) = -1. Let m(t) = -s(t) - 10*y(t). Let w(u) = -6*i(u) - 7*m(u). What is d(w(n))?\nAnswer: 32*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1204*d - 1682*d = -956 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 4*k**2 - 6*k + 5. Let d be q(5). Let z be 3\/(-5) - 18\/(-5). Suppose d = x + z. Sort -5, x, 0.4 in decreasing order.\nAnswer: 0.4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2*-1.7.\nAnswer: 2.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12742 - 2*g + 0*g - 12758)*(-6*g**3 + 3*g**3 + 2*g**3)*(2 - 2 + 4).\nAnswer: 8*g**4 + 64*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + -1. Let d be f\/(-3) + (-6)\/2. Which is the third smallest value? (a) d (b) -2\/5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 814 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -182d06 (base 16) to base 3.\nAnswer: -2222111101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 0, 9 in ascending order.\nAnswer: -6, -2, 0, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15682601149 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, r: 1, o: 1, h: 1, k: 1}. What is prob of sequence kofh?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186252?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 96 + -136. Let o = -192205\/89958 + 1\/4089. Calculate the common denominator of (-20 - -22)*74\/y and o.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:27 PM and 8:44 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, j: 2, d: 1, i: 1, z: 2}. Give prob of sequence zijz.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 2*j**4\/13 + 77304*j**3\/13 - 2569908*j**2 + 368396600*j - 17581682118 = 0?\nAnswer: -39081, 143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18550 and 15900.\nAnswer: 111300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ytn when three letters picked without replacement from {t: 1, o: 1, y: 4, z: 2, n: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33270299 + -33270293.99999976. Let y = -0.28 + -4.72. Let n = h + y. Round n to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.146 take away -0.1?\nAnswer: 37.246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b + 5. Let u be l(6). Let m be (-262)\/(-14) - (-2)\/7. Suppose -m - u = -3*x. Is x a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.852 - 3.85462. What is l rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**5 + 2*d**5 + d**5 + (2*d**3 + 3*d - 3*d)*(-11*d - 13*d**2 + 11*d).\nAnswer: -25*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5759?\nAnswer: 13, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeleellllllelllell. Give prob of picking 2 l.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-6)*3\/1. Let x be c\/(-8) - (-63)\/4. Suppose x - 5 = s. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**4\/7 + 14900*p**3\/7 - 13823328*p**2\/7 - 13927824*p = 0. Calculate p.\nAnswer: -7, 0, 1866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002792 rounded to 4 decimal places?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-8)\/14 + (-230)\/1050*5)*-3. Suppose -33 = -4*g + g. Solve 16 = -4*x - 4*f, n*x - g = 3*f + 9 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 6*y**2 + 2*y**3 + 2*y**3 + 2 - 7*y**3 + 2*y**3. Let v be r(6). Solve -l - 2*b - 13 = 0, b - 6 = v*l - 0*b for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 83843 or 251528\/3?\nAnswer: 251528\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 205491 and 26345.\nAnswer: 1027455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of 0 - 1\/12*o**5 + 0*o + 2\/3*o**3 + 0*o**4 - 2*o**2 - 1\/120*o**6. Calculate c(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 6. Let r(a) = 2*a + 5. Let v(t) = -5*m(t) - 6*r(t). Let j be (-22)\/(-18) + (-2)\/9. Let c(i) = -1 + j - 2*i. Give c(v(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0014150216642 to 5 dps.\nAnswer: 0.00142","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 5\/4 of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 662.6637 grams in nanograms?\nAnswer: 662663700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -2\/13*g**2 - 56\/13*g - 392\/13 = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 613595 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3550, -3644, -3738, -3832, -3926?\n\"Answer: -94*w - 3456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/45)\/y)\/y)**(1\/4)*(y**(-20\/9)\/y)**(2\/3) assuming y is positive.\nAnswer: y**(-1289\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 17*x**2 - 2*x - 9. Let l be q(-14). Let u = 900 - l. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 12.77 and -116043?\nAnswer: -1481869.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140874 = 3*s + 8*q - 140944, -3*s + 5*q = 34 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -40*g**2 + 222*g + 135. Determine v(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - -54. Let s = 185 + -105. Let x = s - 70. What is the remainder when a is divided by x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1046851 or 1046854?\nAnswer: 1046851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4 = -0*f + f, 0 = -5*f + c + 20. Let v be 2 - 3*f\/6. Suppose v = y - 3 + 1. Solve k = 5*i - 3*k + 30, 4*k - 16 = -y*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16 - -1948703?\nAnswer: 19486ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 159\/(-130) - 12324\/(-13351)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/10 (b) 1 (c) -89 (d) 1\/2 (e) -7\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of d**5\/24 + 4*d**3\/3 + 5. Let p(q) be the third derivative of a(q). Let r(u) = 3*u**2. Calculate r(p(h)).\nAnswer: 75*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (5 - (0 + (-6 - -2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15100927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(13) + -4 + -4.\nAnswer: -9 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 57*n - 6. Let o be a(3). Calculate the greatest common divisor of o and 66.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48 by -25149.\nAnswer: -16\/8383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -1*sqrt(304)*-3 - (1*(sqrt(304)*2)**2 + sqrt(304) + sqrt(304) - (sqrt(304) - (sqrt(304) + sqrt(304)*-1)*5)))*-3.\nAnswer: -24*sqrt(19) + 3660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5.103265 nanometers?\nAnswer: 0.000000005103265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 774696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 127615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1903*x**2 + 496682*x + 261 = 0. Calculate x.\nAnswer: -1\/1903, 261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.4293743 to 4 decimal places.\nAnswer: 0.4294","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -4*c - 9. Let d be y(5). Let l = -9 - d. Solve -3*k - 3*z + 5 = 17, 2*z = -5*k - l for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rb when two letters picked without replacement from bbzrbzzbb?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -90 + (-57 - (-153 + 32)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 p, and 2 n when four letters picked without replacement from tgnnmpnppppttntp?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -197142838 divided by -2\nAnswer: 98571419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5387151 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -554 + 283 + 285 + (0 - 34)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1023*q**2 + 6*q. Let z(x) = -839864*x**2 + 4927*x. Determine 4927*h(p) - 6*z(p).\nAnswer: -1137*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110 a factor of 196951620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 93 - 117 = 0. Suppose 0 = o*d - 2373 - 3067. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 - -4. Let r(n) = -n - 7. Let q be r(-8). Let p = 2 + q. Solve 2*h + 19 = h + 4*v, 0 = p*v - m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 286\/(-312) + 4\/6.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 155.949 + -158. What is k rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + -118707.1171\nAnswer: -118707.0171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 - 1320690*t - 140015612.\nAnswer: 2*(t - 660451)*(t + 106)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/4*10978\/(-11)*2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 2*a**3\/3 + 3*a**2 + 7*a + 1. Let y be w(-6). Suppose m = -0*m + y. Is 15 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3\/9 + 3452*u**2\/9 - 106660*u\/9 + 446500\/9.\nAnswer: 4*(u - 25)*(u - 5)*(u + 893)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-164)\/6 - (-2)\/6. Let h be j\/(-2) + (-4)\/(-1 + -7). Suppose r + h = 468. Round r to the nearest 10.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-40434)\/(-92))\/((-10)\/(-8) + 13\/(-26)). Which is bigger: u or 577?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -113317 = -113318?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 92918 and 294.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 2) + -21 + 30?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237 is divided by 372.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3923 is divided by 164?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -57*(-6)\/(-12)*(6160\/(-66))\/(-28).\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**2 + p. Let n(y) = 14*y**2 - y. What is 6*c(o) + n(o)?\nAnswer: 8*o**2 + 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a + 5*k = -85, 2*k = -4. Let w(t) = 17*t**2 - 4*t**2 - a*t**2. Let g(m) = 12*m. Calculate w(g(r)).\nAnswer: -288*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.75 - -1595417\nAnswer: 1595417.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14398639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 846519 is divided by 105779.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 8, z: 2, a: 4}. What is prob of sequence az?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 71*z**2 - 138*z**2 + 69*z**2 - 1)*(2*z**3 - 3 + 3).\nAnswer: 4*z**5 + 8*z**4 - 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 8. Let u be g(2). Let y be (-94)\/u + ((-10)\/(-3))\/(-5). Calculate the greatest common factor of 45 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 17, 1, -95, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 = 4*d - 99, 2*d = h + 5. Solve -j + h*j = 4*b + 4, 2*b = -4*j + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 663 - 340. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 + 4 + -12 + 8\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 10*t - 342. What are the prime factors of t?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 2*t - 50. Let b(z) = -z**3 + 11*z**2 - 8*z - 5. Let o be b(t). Suppose 4*r - 7*r = -o. What is the remainder when 12 is divided by r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142*p - 96 = -150*p. Solve 0 = -3*k + 3*y + 6, -4*k - p - 8 = 3*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 340155155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -13*d**2 + 377*d + 788. Let x(b) = 6*b**2 - 188*b - 392. Let z(n) = 4*r(n) + 9*x(n). Suppose z(y) = 0. What is y?\nAnswer: -2, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + -1 + 15 + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(288)*3).\nAnswer: sqrt(13)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139986?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -1648*f**5\/3 + 460*f**4\/3 + 1438*f**3 + 2552*f**2\/3 + 334*f\/3 - 4 = 0. Calculate f.\nAnswer: -1, -1\/2, -1\/4, 3\/103, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-490)\/4)\/(-13 + 15). Let u = -61 - z. Solve u*h**2 - h + 1 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**7\/(c**(-1\/2)*c)*(c**(-1\/3))**(-6\/7) assuming c is positive.\nAnswer: c**(95\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 115 - 112. Suppose -4*i = -5*o - 99 - 175, -j*o = -5*i + 349. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/12 + (-95)\/3. Which is bigger: -30 or r?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9021176ml?\nAnswer: 0.0009021176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3882*b**3 + 873?\nAnswer: -11646*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197741?\nAnswer: 197741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times 15.4?\nAnswer: -46.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50647?\nAnswer: 50647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*(d*d**(-2\/5)*d)\/d*d*d)**(6\/13) assuming d is positive.\nAnswer: d**(-12\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*g - 65*g - 23*g**2 to o*g**2 + c + i*g and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1)*(2*n - n - 3*n) + (1 + 3 - 6)*(-6*n + 5*n + 2*n) - 4*n + 3*n + 2*n - 23 - 11*n + 45*n - 23*n to the form d + g*n and give g.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q**2. Let y = 28 - 12. Let w(v) = -12*v + 4*v + 16 - y. Determine l(w(r)).\nAnswer: 320*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -200*f - 6 = -198*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 787255622?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*z + 3*z + z)*((4*z + z - 2*z)*(3*z - 3*z - 2*z) + 0*z**2 + z**2 - 3*z**2) as q*z**2 + v*z + n + b*z**3 and give b.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*h**3 + 0*h**2 + 26*h**3 + 0*h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1882 + 1982. Calculate the highest common divisor of r and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40352 and 2169308.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/26147 and 18\/444499.\nAnswer: 444499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -110243 times 620?\nAnswer: -68350660","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1294*y + 1285*y = -1719*y - 2631*y - 143253 for y.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 4*h + 3*h**2)*(h - h + 2*h) - 2*h**3 + 2*h**3 + 2*h**3 + (-h**2 + 3*h**2 - h**2)*(-4 + 4 - 7*h) - h**3 - 5*h**3 + 4*h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2584 and 2.\nAnswer: 2586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 9:16 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the second derivative of -23*l**6\/195 + 27*l**5\/130 + 7*l**4\/13 - 8*l**3\/39 + 4742*l. What is t in o(t) = 0?\nAnswer: -1, 0, 4\/23, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001254234 rounded to 7 dps?\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.09 - -1.69. Put j, 5, -5, 0.5 in descending order.\nAnswer: 5, 0.5, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.123*-0.5\nAnswer: 0.0615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1077 + -1071. What is the lowest common multiple of i and 86?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2))**32\/((q\/q**(-4)*q)\/q**3) assuming q is positive.\nAnswer: q**(-67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) -0.87 (b) 0.1 (c) 4\/11 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -248*p - 1509. Calculate q(-6).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - 42*h - 3041. Let f be g(80). Let o(j) = 52*j + 1. Give o(f).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -2, -0.84, -3\/5 in increasing order.\nAnswer: -2, -0.84, -3\/5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56325875881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 48*h**2 - 39*h + 90.\nAnswer: -3*(h - 1)*(h + 2)*(h + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1264*r + 1154*r = 2090 for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, k: 2, a: 10, r: 3, p: 2, n: 2}. What is prob of picking 1 a and 1 y?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c7 + 34?\nAnswer: 22b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 62324 = 2*r - 39554, 5*r + 5*a = 254680. What are the prime factors of r?\nAnswer: 2, 5, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 5 (b) -2\/9 (c) -1 (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 2910*t + 20125.\nAnswer: 5*(t + 7)*(t + 575)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -5. Let o = 1 + p. Solve o = -5*m + 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/350 + (-36)\/(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2 - 2*i - 3. Let j be n(-3). Suppose -5*y + 8 = -j. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5\/3)*p**(2\/15) assuming p is positive.\nAnswer: p**(-23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24570389 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -305209 by 108.\nAnswer: -305209\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -255.612 rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9690 and -129.\nAnswer: 1250010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -452 + 480. What is the remainder when 149 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.898454 years?\nAnswer: 10.781448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1 + 0)*(-72)\/108. Let v(m) be the third derivative of m**2 + 1\/24*m**4 - k*m**3 + 0*m + 0. Differentiate v(b) wrt b.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 484 = 5*w + 6*w. Calculate the remainder when 25 is divided by (2 - w\/28) + (-520)\/(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -3 (b) 2 (c) 584\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 4*y + 4. Let n = -19 - -36. Let u(w) = 8*w**2 + 11*w + 11. Determine n*s(l) - 6*u(l).\nAnswer: 3*l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 571137794, 1142275587, 1713413380?\n\"Answer: 571137793*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 1. Let y(l) = -4*l - 23. Determine 6*f(b) + y(b).\nAnswer: 2*b - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 117366690 divided by -197\nAnswer: -595770","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 624.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -172488364*q**3*r**2 + 8*q**2 - 2931398*r**2 wrt q?\nAnswer: -1034930184*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 5}. Give prob of picking 3 h.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 8*k**2 - 6*k + 5. Let i be 2 + -1 + (-104 - -19). Let n be i\/(-8)*(-2)\/3. What is d(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 0) + (16 - (-15 + 36))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/5)*b*b\/b**21)\/(b**(6\/7))**(-3\/28) assuming b is positive.\nAnswer: b**(-8873\/490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1265 and 230?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (109 - 71) + -95 + (1 - 28).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1458758?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (sqrt(1100) + -3)*4 + sqrt(1100) + (sqrt(1100) - sqrt(1100)*1)*-3)**2 + -4)*-2.\nAnswer: -55570 + 3400*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a7c9 + 2d?\nAnswer: -3a79a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of 7*p**3 + 99*p**2\/2 - 30*p - 38. Factor b(n).\nAnswer: 3*(n + 5)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1351522 (base 6) to base 7\nAnswer: 440060","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -13) + -14 - (-3 - 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q - 4. Let c be n(6). Let r = 6 - c. Is (r - -625)\/(2 - 1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -56269\/332, 2\/7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -7*k**2. Let f(z) = -z**2 - 3*z + 3. Suppose -15 + 17 = 2*u. Let c(d) = 3*d**2 - 2 - 2*d**2 + 0*d + d + u. Let q(p) = 3*c(p) + f(p). Give o(q(v)).\nAnswer: -28*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -17194*q - 34409. Calculate c(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**3 - 12*w**2 + 106*w - 3. Let p(h) = -h**3 - h + 1. Let l(i) = -3*p(i) - s(i). Find the second derivative of l(o) wrt o.\nAnswer: 6*o + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of 0*w**2 - 3\/5*w**5 + 0*w**3 - 3\/8*w**4 + 0*w - 1\/4*w**6 + 5. Factor b(j).\nAnswer: -3*j**3*(j + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 300016302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 2*d + 3. Suppose -2 = -5*v + 13. Let w be k(v). Solve w = -5*x + 3*s - s + 18, 2*x - 3 = 5*s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 206552 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6684 from -107037.4.\nAnswer: -100353.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**3 + 40*v**2 - 80*v - 640 = 0.\nAnswer: -8, -4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 123 + -85 - (18 - 4)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1213122411323 - -10?\nAnswer: 1213122411333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 1. Let p(l) = -2*l**2 + 8*l + 7. Let r(u) = -4*c(u) - p(u). List the prime factors of r(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 4*x - 4*m - 25310, 5*m = 3*x - 15199. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -34. Let h = 12.81 - p. Let b = h - -0.19055. Round b to four dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 + 10*k**2 - 208*k - 1. Let a be q(8). Let j = -1\/27 + 11\/54. Put -27\/5, 0, j, a in decreasing order.\nAnswer: j, 0, a, -27\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/126 - (-1 - 11\/(-9))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -82*l**3*u**2 + 275*l**3 - 2*l*u**2 + 3*l*u + 5*u**2 - 180*u wrt l.\nAnswer: -492*l*u**2 + 1650*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 983590921 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - (-9 - -6 - 9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 658743702?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 4115, 16233, 36427, 64691, 101019, 145405, 197843, 258327?\n\"Answer: -r**3 + 4044*r**2 - 7*r + 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3656 + 3698. Let h(c) = 8*c - 1. Calculate the smallest common multiple of o and h(1).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 89\/33 - 15\/11. Determine w so that 1\/3*w**2 + r + 4\/3*w = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nqqqvcycqqgqc. What is prob of sequence yc?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-88)\/66)\/(1\/(-3)). What is the highest common factor of b and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/4*w - 1\/4*w**2 + 0 = 0. Calculate w.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*s - 24*s + 372 = -36*s - 59*p, 4*s + 2*p = -49 + 199 for s.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + -112 + 85 + 59?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 41 + -36. Let w(j) be the first derivative of -11 + j - 3*j**3 - 3*j**3 + m*j**3. What is w(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 - 4364645*i + 17458572. What is f(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 f, 1 c, and 1 e when four letters picked without replacement from {y: 1, e: 1, d: 3, f: 2, c: 7}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 5*g + 72, -300*g - 130*g + 6282 - 17702 = -2*c + 284*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t - t - t + (508*t + 126*t - 300*t)*(-4 + 1 + 2) to the form i*t + p and give i.\nAnswer: -332","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 31*z**2 - 74*z - 61. What is the remainder when 168 is divided by c(4)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3383 rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 2*a**3 + 5*a**2 + 5*a + 10. Let t be ((-42)\/(-105))\/(4\/(-40)). Calculate x(t).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 55*a - 28. Let k be s(-17). Let n = -560 - k. Suppose 0 = -5*r + n - 143. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 396 and 16?\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2358968 divided by 2?\nAnswer: -1179484","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 31 = 10*r. Is 6 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -72, -87, -104, -123, -144?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 5, 277, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of 2*y**6\/45 + 59*y**5\/15 - 149*y**4\/3 + 218*y**3 - 396*y**2 - 2*y - 160. Solve t(v) = 0.\nAnswer: -66, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/3)\/(2\/12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -12, 3, 5.\nAnswer: -12, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n**2 + 161*n + 105. Let u be t(-53). Let a(r) = -13*r**2 + 0 - 1 + 384*r - 385*r. What is a(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8228567, -16457102, -24685639, -32914178, -41142719, -49371262, -57599807?\nAnswer: -65828354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qfkqqqkhqkpqpkkff. Give prob of picking 1 p, 1 f, and 1 h.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7185674029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 505 + 44656.97.\nAnswer: 45161.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, q: 2, i: 2, d: 6}. Give prob of picking 2 q and 2 d.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times 0.064?\nAnswer: 0.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 90 - 721\/8. What is the common denominator of h and -81\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44.97 minus 2130.7617?\nAnswer: -2175.7317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f - 5*s - 9 = -43*f, 4*f = s + 12. Solve f = 3*v - 6*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1218 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1*2)\/(110 - 106))\/((-4)\/40).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-84)\/(-9) - (0 + 2\/(-3)). Calculate the highest common factor of j and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2826\/47 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1*sqrt(99) + 4 + 2)**2.\nAnswer: -144*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + -1 + sqrt(2) + 1 + 2.\nAnswer: 2 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 185*m - 370*m**3 - 185*m.\nAnswer: -370*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3 - -7) + -4)*4\/(-36). Let p(k) = 8*k**2 + k - 5. Calculate p(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + 23. Calculate the highest common factor of i and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56094\/15 - 3\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (5 - -5)) + -1 + -10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 + 229 - 29*g**2 - 385 - 37*g**2 in the form p + b*g**2 + z*g and give p.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.275 - -0.025. Put -0.4, g, -9 in increasing order.\nAnswer: -9, -0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooppppoop. What is prob of picking 3 p and 1 o?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116 + 119. Suppose 5*g = 3*k + 205, m*g - 187 = 2*k - 63. Is 38 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (39\/(-4) - -9) + 11\/12. Let g = -8.2 - -8.1. Which is the closest to g? (a) -0.002 (b) t (c) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + d + 9. Calculate r(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 58*c - 52*c - 36. Suppose 3*m = 2*m + 23. What is the remainder when m is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -145, 15, 1, -3.\nAnswer: -145, -3, 1, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -75\/92 and ((-3663)\/(-216))\/(-37) - -2.\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 73a5a (base 15) to base 7.\nAnswer: 3055330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7827621 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/12)\/((-390)\/48 + 8). Sort 0, -1\/4, t, -0.009 in descending order.\nAnswer: t, 0, -0.009, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 - 2*q + 11. Let k be (-255)\/35 + (-4)\/(-14). Let x be m(k). Suppose -5*l - 47 = -x. Does 3 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/9))**(-3\/23)*(d\/(d*d*d**0)*d)\/d**(-1\/3) assuming d is positive.\nAnswer: d**(7\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -2 + 2\/3*l**3 + 0*l + 0*l**2. Let r(i) = -3*i. What is v(r(h))?\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0235863 - 0.81.\nAnswer: -0.8335863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 59*q**2 + 5*q + 3. What is v(-1)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d - 2. Let f = 1800 + -1795. Let o = -1 - -15. Let y = o + -8. Let r(g) = -7*g + 2. Give f*r(n) + y*b(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 759, 1368, 1667, 1500, 711, -856, -3357?\nAnswer: -6948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2403488?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 639.117 hours?\nAnswer: 2300821200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5956? (a) -4 (b) -7\/6 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/162)\/(2\/30)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46823?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-592)\/8288 - 15\/(-14) - (12\/2 + -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, x: 7, r: 3}. Give prob of sequence rxxx.\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 4*i**3 + 15 - 2 + 2*i**3 - 4*i + 3*i**4 to q*i**4 + h + g*i + z*i**2 + l*i**3 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2299 is divided by 491.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -38904*f**3 + 1694*f + 320004041?\nAnswer: -116712*f**2 + 1694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -654*v**5 - 105*v**2.\nAnswer: -39240*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -40*m**3 - 2*m - 42*m**3 - m + 3*m**4 + 81*m**3 - 26*m**4 as x + p*m + g*m**2 + j*m**4 + c*m**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**2 - 3*h**2 - h**2)*(-74 - 83 + 158) + h**2 + h**2 - 4*h**2 - 8 + 7*h**2 + 8.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222022220210000 - 11?\nAnswer: 222022220202212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r**2 + 1. Let q be o(1). Let n(w) = -78*w**2 + 3*w + 1. Let s(a) = 39*a**2 - 2*a - 1. Let k(p) = 2*n(p) + 5*s(p). Is k(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -7*s**3 + 5*s**2 + 2*s = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 11*u**2 - 3*u + 2. Let a be (4\/18)\/(6\/54). List the prime factors of g(a).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-57)\/(-19))\/(38\/(-57)).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -8. Let m be b\/(-13) + (-14)\/91. Suppose -p + 0*p + m = 0. Which is smaller: p or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 26 = -4*f, 2 = -2*f - 8. Determine r so that -7*r**3 + r**4 - r**2 - 2*r + 0*r**4 + 9*r**p = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4607177 or -78322016\/17?\nAnswer: -4607177","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 + 2. Let n(r) = -r**3 + 5*r**2 + r + 1. Let j(m) = -m**3 + 6*m**2 + m + 1. Give y*n(t) + 5*j(t).\nAnswer: t**3 - t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2837, -0.6 in descending order.\nAnswer: -0.6, -5, -2837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/11))**(-36)*k**(-2\/5)\/(k*k*k*k**(-2)*k) assuming k is positive.\nAnswer: k**(228\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -5*z - 2*s, -5*z = -z - s - 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5880 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -66 - (-2422 + 2403)?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -366 * 0.0775\nAnswer: -28.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 0*t**2 - 15*t**3 + 14*t**3 + t + 4 + 6*t**2 - 3*t**2. Suppose 3*c - 4*c + 3 = 0. Determine j(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*x + 25*x - 3*q + 141594, 0 = 3*x + q - 53097. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 197148 by 40.\nAnswer: 49287\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-27)\/6*((-31563)\/1053 - -30)\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 11405?\nAnswer: 11413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 175 and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -3 + 5 + (sqrt(19) + sqrt(76)\/sqrt(4))*-2 + -2.\nAnswer: -4*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*u + 37*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -3*h**2 - 33*h + 24. Let k be t(-12). Calculate the least common multiple of ((-2)\/((-48)\/(-40)))\/(2\/k) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*(1 + 2*(sqrt(243) + 1 + 0)**2).\nAnswer: -494 - 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 1. Let t(x) = 195*x. Give t(m(c)).\nAnswer: 195*c + 195","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 2*h**2. Let g(z) be the third derivative of 75*z**4\/4 - z**3\/6 - z**2 - 14. What is t(g(d))?\nAnswer: 405000*d**2 - 1800*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89090 + -0.5227592.\nAnswer: 89089.4772408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1*21*(-4)\/2*(-93)\/558\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 573 is divided by (-260)\/260*(-26 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 42173, 37710, 30271, 19856, 6465?\n\"Answer: -1488*l**2 + l + 43660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24966\/(-1106826)*76\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*r = -55*r + 100. Let a be ((-16)\/10)\/((-105)\/r + 4). Solve -4*g = -l - 7 - 10, -a = -l - g for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**3 - 3*a**2 + 5*a + 6. Let y be n(-4). Suppose y*c = -u - 5, 0 = 2*c + 4*u + 14 - 0. Let f = 1 + c. Is f at most 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -13 + 13)*-3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - (-2 + 4) - (-2 + 9).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of (-3)\/(-9) + (-74)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = -2*b + m - 427 + 419, -15 = 3*b - 3*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 5*r**2 - r - 1. What is g(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tg when two letters picked without replacement from gtjggggtggjtgtgg?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25202 + -1?\nAnswer: -25203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2*t**2 - 26*t - 110. Calculate o(-4).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -92*o**3 - 355*o**2 - 254*o**2 + 68*o + 658*o**4 + 30*o - 671*o**4 - 88*o**3.\nAnswer: -o*(o + 7)**2*(13*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 0.9. Let y = 6514\/3 - 397384\/183. Let j = -8\/793 - y. Which is smaller: f or j?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (66\/(-4))\/((-27)\/36). Let l be (-9)\/(-15) - t\/20. Sort 3\/5, -1, l in ascending order.\nAnswer: -1, l, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkq when three letters picked without replacement from jkqjjkjjq.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 4)*(-m**4 + 0*m**4 + 2*m**4) - 8*m**3 + 4*m**4 + 43*m**3 - 2*m**4 in the form u*m**4 + p*m**2 + a + b*m**3 + d*m and give b.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/191060 and 113\/174284.\nAnswer: 35728220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -71.7476436 + -3.4.\nAnswer: -75.1476436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4838 (b) -124\/11 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*g + 11, -c + 4*g + 26 = -g. Let n(o) be the third derivative of 0*o + 1\/12*o**4 - 1\/15*o**5 - 1\/6*o**3 - 2*o**2 + 0. Determine n(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**7\/2520 + g**6\/90 - g**5\/10 + g**4\/3 + 3*g. Let v(s) be the third derivative of u(s). What is v(-10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18749755 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 3158.\nAnswer: 22106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (5*-3*sqrt(931) + -3)**2 + (sqrt(2736) - (4 + 1*sqrt(2736)) - ((sqrt(2736) - (-1 + sqrt(2736))) + -3)).\nAnswer: 630*sqrt(19) + 209483","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 divided by 21557?\nAnswer: -79\/21557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21\/32 + -2513\/3232. What is the common denominator of 17\/606 and v?\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 64.100708 - 64.1. What is q rounded to four decimal places?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fm when two letters picked without replacement from {r: 2, m: 6, f: 3, g: 1}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77400875*o**2 - 8*o**3 + 24*o**3 - 77400875*o**2.\nAnswer: 16*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i**2*u**2 - 133*i**2*u - 128045735*i**2 - 7534*u**2 wrt u?\nAnswer: -6*i**2*u - 133*i**2 - 15068*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(2\/3)*q)\/q**(1\/5)*((q\/q**(-2\/3))\/q)**(-8))**(35\/2))**39 assuming q is positive.\nAnswer: q**(-5733\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.36 rounded to zero dps?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 12*j - 1. Suppose 0 = 52*b - 29*b + 299. Determine k(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a gram in milligrams?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -1 (c) 0.2 (d) -10 (e) 133 (f) 1\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 - (-68)\/(-24) - (3 + (-92)\/24). Let o = -11 - -11. Let g = 0 + o. Solve a + g*a = n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 6:18 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -43.954 to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from ooqooooo?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**5\/3 + 2*f**4\/3 - 7*f**3\/3 + 4*f**2\/3.\nAnswer: f**2*(f - 1)**2*(f + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 741*d**2 - 202170*d - 33579.\nAnswer: 3*(d - 273)*(247*d + 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9b (base 16) to base 3.\nAnswer: 12202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -q - 247*m + 252*m, 0 = -q - 3*m + 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(2\/3)\/j**(-2))**(-1\/3)\/((j**(-2\/5))**26*j**(-6)\/(j**(3\/2)\/j)) assuming j is positive.\nAnswer: j**(1441\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n**3 + 14*n**2 - 7*n - 44. Let j be t(-6). Suppose -25*z - j = -39*z. Solve -7*i + 3*i = z*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o. Let f(p) = p - 5. Let v be f(7). Let h(n) = 2*n - v*n + n. Determine k(h(r)).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/25416 and 64\/639?\nAnswer: 1804536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000052025363 to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 (base 10) in base 6?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -9 = -39\/305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 25*-1 + (-27)\/(-3) + -5. Let z = 166 - w. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -110, -150, -232, -368, -570, -850?\n\"Answer: -2*m**3 - 9*m**2 + m - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3618 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -3*c - 1. Let u(a) = a**3 + a. Let p(z) = u(z) + v(z). Let g be p(2). Suppose -s + 16 = g*s. Sort s, -5, 0, 5 in ascending order.\nAnswer: -5, 0, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**4\/4 - 25455*g**3\/2 + 1169703*g**2\/4 - 1525122*g - 1830276 = 0. Calculate g.\nAnswer: -1, 12, 16947","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1124, -4546, -10280, -18338, -28732, -41474, -56576?\n\"Answer: -2*m**3 - 1144*m**2 + 24*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*q - 2*s + 51, -76 = -4*q - 2*s. Suppose 5*p = 3*k - 15 - 4, -q = 4*p. Is k - (-92)\/1 - -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**4 - g**4 + 0*g**4 + (-g - 3*g + 5*g)*(17*g**3 - 14*g**3 + 20*g**3))*(-5 + 17 - 4).\nAnswer: 192*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 4*l - 29348, -9*l = -14*l + 25. Is 7332 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 858*-0.1.\nAnswer: -85.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -89\/9 + 43\/3. Are w and 5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.2, 0.3, 0.7, 4646?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuex when four letters picked without replacement from euueeupxvuxuexvevupe?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*f**3*q**4 - 42*f**3*q**3 + 2*f**3 - 2*f - 11*q**2 + 2618*q wrt q?\nAnswer: 24*f**3*q**2 - 252*f**3*q - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xz when two letters picked without replacement from {n: 4, x: 7, z: 3}?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6 + 9 = 0, 2*z = -2*f - 6952. Does 22 divide 74\/(-296) - z\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**3 + 4*m**2 - 3. Suppose 5*s - 60 = 5*t - 45, 0 = 3*s - 2*t - 5. Let k(o) = o**3 - o**2 + 1. Give s*l(j) - 2*k(j).\nAnswer: -5*j**3 - 2*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4*k**4 - 3*k - 1 - 3*k**4 + k**2 as c + n*k + x*k**2 + y*k**3 + d*k**4 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from uucuvuvvvu?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-84)\/(-14))\/(20\/2610). Calculate the highest common factor of s and 232.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/12)\/((-3)\/54). Let c be -1 + (2 - 5) + z. Suppose -3*y + 0*y = 5*v - 88, -3*v + 68 = -c*y. Calculate the remainder when 78 is divided by v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*((p\/((p\/p**(-10))\/p))\/p)\/p*p*p\/p**(3\/16) assuming p is positive.\nAnswer: p**(-131\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + 545c4a?\nAnswer: 545c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 9:40 PM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -13? (a) -4 (b) -1 (c) 0.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (25 - 89)*(-3 + 10\/8). Solve -15*j + 127 - v = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 251964181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 464.405319 minutes in weeks?\nAnswer: 0.04607195625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 105143692?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**3 + 3*m**3 - 2*m**3)*(4*m**2 + 4*m**2 - 5*m**2).\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*o - 4*c + 116, 5*c = 4*o - 152. Let v = 115 + -68. Let d = v - o. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26, 2, -18645.\nAnswer: -18645, -26, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 + (1 - -4))\/(2\/(-398)). Let z = 241 + c. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 v, and 2 i when four letters picked without replacement from bebbiqeqesviibebbs.\nAnswer: 1\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -53*n**5\/5 + 169*n + 241. What is the derivative of i(h) wrt h?\nAnswer: -212*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - (5 + -8 + -29 + 19).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3260572 and 3652.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 2\/7 - -2. Suppose -6 = -5*t + 14. Suppose 5*f - 6 = 5*c + 9, -t*c + 8 = 0. What is the biggest value in 4, f, p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 - 3*g**2 - 2*g + 1. Let a be n(4). Suppose -3 = 2*z + a. Let b(t) = 2*t**2 + 6*t - 3. Calculate the remainder when b(z) is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(121) + -1*sqrt(121))*-2 + -2*(-1*sqrt(121) + sqrt(121))))\/((-3*sqrt(132)*1)\/((sqrt(24) - (sqrt(24) - sqrt(216)))\/sqrt(2))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000082517787 to 7 dps.\nAnswer: -0.0000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 2*j + 423 = -2*p, 0 = -p + 5*j - 222. Let r = p + 208. Put 11, -2, r in increasing order.\nAnswer: -2, r, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + (-1 - -1) + -1. Sort 3, 5, c in ascending order.\nAnswer: c, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 997522 is divided by 11677.\nAnswer: 4977","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 329 is divided by 57?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 995\/4 - 246. What is the fourth smallest value in o, 1\/5, 2\/5, -2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 208 + -90. Find the common denominator of 62\/9 and p\/(-66)*(-2)\/(-2).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -6*l - 5. Let v be i(-5). Suppose -u - 55 = -6*u. Let x = u + -7. Solve p + v = -x*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/3*798\/14. Let m(p) = 4 + 1 - 4*p**2 - 8*p - w*p**3 + 134*p**3. Is 24 a factor of m(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*g - 102. What are the prime factors of g?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 240\/13 (b) -1\/4 (c) -4 (d) 965 (e) 1\/5 (f) -35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 802033 less than 2?\nAnswer: -802031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 124, -1179, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(-2) + (-15)\/(-20). Let a be ((-360)\/480)\/(-4 - 201\/(-48)). Sort 87, y, 5, a.\nAnswer: a, y, 5, 87","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 188189896 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 58.59174 - 58.6. What is p rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -145*o**3 + 4*o**2 + 5*o + 7. Is m(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1527*a - 2*a**2 + 2965*a - 1438*a.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 39681 rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3351 + 3347. Let w = 28 - 20. Let d = 7.8 - w. Put d, 3, -3, s in descending order.\nAnswer: 3, d, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.31 - 4.51. Put 1\/2, -0.7, f, 1\/8 in descending order.\nAnswer: 1\/2, 1\/8, f, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 7 = 5*d, 2*u - 4 = -4*d + 6*d. Sort 0, d, -20, -5 in ascending order.\nAnswer: -20, -5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, -5 in increasing order.\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3876*-2.\nAnswer: -0.7752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20213, -21836, -23469, -25118, -26789, -28488, -30221, -31994?\nAnswer: -33813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 47*o**6\/10 - o**4\/3 - o**3\/6 + 382*o**2. What is the second derivative of j(m) wrt m?\nAnswer: 3384*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/((-192)\/84)*(-16)\/28)\/((-60)\/(-810))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 13 = -2*k, 0 = 715*o - 711*o - k + 24 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91142814 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of r - r + 7 + 42*r**3 - 36*r**3 wrt r.\nAnswer: 18*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 1:39 AM?\nAnswer: 2:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (6 - (6 + 2)) + 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/24 and 39\/56.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/6*(-451)\/(-3157)?\nAnswer: -13\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.7138 to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 - g**2 - g**2)*(2*g + 3*g**3 + 5 - 4 - g).\nAnswer: 6*g**5 + 2*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**3 - 131 + 60 + 7*o**2 + 68 - 4*o**2 to the form i*o**3 + u*o**2 + j + c*o and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 0 + 1\/6*s**3 + 0*s**2 - s. Let z(a) = -2*a**2 + 5. Let d(n) = n**2 - 1. Let u(v) = -5*d(v) - z(v). Determine f(u(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**4 + u**4 - 4*u**4 + (u - u + 2*u)*(-7*u**3 - 2*u**3 + 3*u**3).\nAnswer: -11*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*q**2\/17 + 320*q - 9728\/17.\nAnswer: 2*(q + 304)*(9*q - 16)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - -13 - (5 - 2) - 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 8*p + p**3 + 4*p**2 + 15*p + 9*p**2 - 15 + 25. Let o be v(-11). Let j(k) = -7*k**2 - 4*k**2 + 0*k**2 - 1. Calculate j(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-3\/2)*h*h\/(h\/(h**(1\/3)\/h*h)))**0\/((h\/(((h\/h**(-1\/8))\/h)\/h))\/h**(1\/6))**13 assuming h is positive.\nAnswer: h**(-533\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 233537554.\nAnswer: 2, 116768777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**2 + y**2 + 3*y**3 + (6 - 9 + 2)*(2*y**3 + 7 - 12 - y**3).\nAnswer: 2*y**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - o = -4*o - 22, -4*p + 26 = 3*o. Solve 0 = 5*q - p + 3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265 minutes after 6:00 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49639097 a multiple of 224?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 58045 (base 15) in base 3?\nAnswer: 112020100102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**5\/(r\/(r**(-4\/3)*r*r))*r*r\/(r\/r**(-2\/3))*r**(-1\/7)*r assuming r is positive.\nAnswer: r**(41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -91 take away -1.3?\nAnswer: -89.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 133*o - 550. Calculate t(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 1294136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 91332 and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-7)\/(-4)*(15 + 101).\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000529338 to 6 decimal places.\nAnswer: 0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2 + 0 + 5*p + 2. Let w be y(-3). Let i = w - -43. Calculate the remainder when i is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 534*c = 524*c + 20. What is the closest to 1\/7 in 2\/11, 1\/4, c, 4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1091 + 208*s**2 - 1091)*((2 - 1 - 2)*(-3 + 5 - 3) - 4 + 3 + 3).\nAnswer: 624*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*r - c - 53, -2*r + 51 = -5*r + 3*c. Let h be (1\/(4\/(-16)))\/r. Which is smaller: h or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 190?\nAnswer: 190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -1. Let r be 22\/10 + (-10)\/s. Let k be 5*-4*2\/(-10). Solve 2*h + 5*q + 29 = 0, k*q + 20 - r = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-309)\/618)\/(9\/2)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 82080507\nAnswer: -32832202.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fg when two letters picked without replacement from gpsgpcgfppxp.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 468, 754, 1110, 1560, 2128, 2838, 3714?\nAnswer: 4780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 626, 1233, 1818, 2369, 2874, 3321?\n\"Answer: -2*h**3 + h**2 + 618*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8243\/4 + -2061. What is the nearest to -2\/3 in -1\/3, -0.5, -3\/8, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 9. Which is the closest to o? (a) -1\/8 (b) 3\/5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - -3044.\nAnswer: 3043.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 344277?\nAnswer: 3, 41, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8452 + -8448. Which is the fourth smallest value? (a) 0 (b) 1 (c) v (d) 6\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 165824 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -166*k**3 - 85*k**2 + 398350 wrt k?\nAnswer: -498*k**2 - 170*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2\/2 - 567807*g\/2 - 26673675.\nAnswer: -3*(g + 94)*(g + 189175)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/3 + 1 + 195. Let d = -100 + m. Is 30 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of n**6\/300 - 7*n**5\/50 + 49*n**4\/20 - 343*n**3\/15 + 111*n**2 + 1. Determine t so that a(t) = 0.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -135, -221, -395, -711, -1223, -1985, -3051?\nAnswer: -4475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q. Let c(s) = 271*s**2 - 564*s**2 + 278*s**2. Determine j(c(m)).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -i + 9356, -37380 = -4*i - 16*x + 18*x. Suppose 8*m + 1834 = i. What is the hundreds digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -0.5. Let t(k) = -k - 10. Let q be t(-9). Let u = 4 - 3. What is the closest to 1 in q, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4162455 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 5*o = 35 - 10, -5*o = 5*q + 85. Let k = -13 - q. What is the least common multiple of 22 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2614837 to the power of 1\/2, to the nearest integer?\nAnswer: 1617","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 101814563649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22 + x - 23 + x)*(3*x - 4*x - 2*x).\nAnswer: -6*x**2 + 3*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80024401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1*13 + 10230\/6448*-8\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*j - 4*j. Let o = 3316 + -3315. Solve -o = j*l - 11 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16344 and 4140?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/(-12) - 2)*2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 18\/(-18)*(-14 + 14). Which is the fourth biggest value? (a) 4 (b) 20 (c) l (d) 1\/3 (e) -159\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9922, -9884, -9792, -9622, -9350?\n\"Answer: 4*q**3 + 3*q**2 + q - 9930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*f**2 - 13*f**3 - 6 + 6 wrt f?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one halves of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -p - 1, 3*c - 4999*p + 9997*p = 4993*p + 64 for c.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*f + 2352 = -190*f + 228*f for f.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.15862ml to litres.\nAnswer: 0.02015862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 27. Let s = r - 29. Suppose 2*j - 10 + 0 = s. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 3*y - 28. Let i be ((-32)\/12)\/((-4)\/y). What is the nearest to 1 in i, 1, -1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*y**3 - 2*y**3 + 7561 - 7560.\nAnswer: -15*y**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 25 - (38 - (-3250)\/(-208))\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 5245*w**3 + 1727871*w**2 + 5564232*w + 1283148.\nAnswer: (w + 3)*(w + 654)**2*(4*w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of -3*c**4 - 13*c**3 - 33*c**2\/2 - 6*c + 5. Find l, given that m(l) = 0.\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 125012.5 take away 0.5?\nAnswer: 125012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(77)\/sqrt(44) + -3.\nAnswer: 1 + sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2475 divided by 495\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-110)\/(-66)*-9 + (-3)\/6*-18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20.86 + 20.9. Which is the nearest to -2\/7? (a) o (b) -3\/4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-2) - (-3 + 63\/14). Determine j, given that 3*j**5 + 6288*j**3 + 9*j**4 - 6288*j**h = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8c - -4?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-94 - 1) + (-3 + 20 - (-129 + 149)) - 3?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 177 (b) 3\/5 (c) 0.1 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -215 - -219. Suppose 9 = -3*a + o + 32, h*o = 4. Solve -5*f - a*f = 13 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, 25, -2, 17 in descending order.\nAnswer: 25, 17, -2, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000212 to six dps.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 100072028 by 5.\nAnswer: 100072028\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**5 - 15025*g**4 + 15029895*g**3 - 4984594055*g**2 - 20361622160*g + 60541621620 = 0?\nAnswer: -6, 2, 1003","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**5 + 2705*a**4 + 364495*a**3 - 367205*a**2 = 0 for a.\nAnswer: -271, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 167 = 3*g - 5*x, -4*g + 168 + 49 = -x. Let k = g + -379\/7. Which is bigger: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -4*o - 11. Let r(n) = 3*n + 11. Suppose 180*c = 178*c + 4. Let g(i) = c*u(i) + 3*r(i). Give g(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -173*((-6)\/3 - (1 + -1)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 8. Suppose -2*x = a, c = -2*c - 2*x + 15. Let l = c + -3. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14436)\/(-141152))\/(-12*4\/44).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -5 (b) 0.19 (c) -325\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*h + 310 = 48*h. What is the least common multiple of h and 40?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16978 less than -316281453?\nAnswer: -316281452.83022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 3*j + 3*j)*(-113 - 51 + 6).\nAnswer: 316*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 109441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5934 - 2515. What is the greatest common divisor of m and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -10345, -14391, -18425, -22441, -26433?\n\"Answer: x**3 - 4053*x - 6293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 3*j - 2. Let q = 73 + -75. Let m be w(q). Solve m = p - 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 0 - 1\/2*t**2 - 1\/6*t**3 - 16*t. Let z(r) = -5*r**2 + 7*r + 5. Calculate -5*s(n) - z(n).\nAnswer: 5*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7777 = -5*r + 1617. Let i be r\/(-10)*1250\/20. Round i to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3925 + -12466.8. Let k = 8537.80008 + w. Let q = 4 + k. What is q rounded to four decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -181 - -235. Suppose -4*x + 19 = -21. What is the smallest common multiple of p and x\/(-25)*(0 - 10)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0016566 to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3140280*w**6 - 2062733*w**2 wrt w.\nAnswer: -376833600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2080 is divided by 69.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*o - 8 = -8*o, 0 = 5*i + 2*o - 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.23 + -1.57. Let h = 1.5 + f. Which is the biggest value? (a) 2 (b) h (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express l**2 - 1051*l + 40 + 1053*l + 50 + 49 + 3*l**2 in the form v*l + t*l**2 + g and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - z + 1 = 0, w + 13 = -0*w - 5*z. Let y be (-1)\/w - 0\/3. Which is the third smallest value? (a) 3 (b) 0.5 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1523, 1471, 1387, 1271, 1123, 943, 731?\nAnswer: 487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/220, 1405, -2\/25 in descending order.\nAnswer: 1405, 3\/220, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17*j - 11*j - 280 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 20\/13, 458190, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1007677972 or 1007677971?\nAnswer: 1007677972","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b - 4. Let v be y(-5). Let a be v\/6 + 22\/12. Solve -z = a + 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 74, 1, -16, 2393 in decreasing order.\nAnswer: 2393, 74, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 407 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(114)*-2*2 + sqrt(114)))\/(-3*(sqrt(384)*2 - sqrt(384)) - sqrt(384) - sqrt(384)).\nAnswer: 9*sqrt(19)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -10 - (0 + -1)) + -4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 11*h**2 - 12*h + 1. Let c be 4 + -3*(-3 + 2) + -2. Does 32 divide f(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66 - 62. Suppose -l*z + a = 3*a - 164, -4*a = -z + 41. List the prime factors of z.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2167 + -244. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/130 and -33\/2092?\nAnswer: 135980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-3)*3\/18)\/2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 9 = 0, -3*g - 73 = -7*g + 3*t. Let l be g\/(-56) + 1068\/3787. Let v = -8107\/2164 + l. What is the common denominator of -81\/2 and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 times -2.062?\nAnswer: 0.12372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 859\/2, -5, -1, -0.06, 0.08, -0.5?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10122409*m**3 - 350*m**2 - 4023*m.\nAnswer: 60734454","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is 89.20118 micrograms in kilograms?\nAnswer: 0.00000008920118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 0*a - 5\/12*a**4 - 1\/2*a**3 + 0 - a**2. Is o(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2.2 (b) 0.37 (c) -0.5 (d) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 6*m**2 + 3*m - 6. Let x be a(3). List the prime factors of (-24 + 2)\/(2\/x).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-113)\/4*(2 - 1). Let z = q + 29. Let l = -9.8 - -9. What is the second smallest value in 2, l, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**2 - 2*r**3 + 11542*r**4 + 68 - 23089*r**4 - 3*r + 2*r + 11556*r**4 in the form j*r**2 + l*r**3 + k + h*r + i*r**4 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 8*g - 5. Suppose -3*j - 3 = 0, 4*c - 4*j = c + 22. Let a(v) be the second derivative of -7*v**3\/6 + 2*v**2 + 176*v. Calculate c*a(s) + 5*o(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 2*v - 5. Let z be q(-5). Let x = -8 + z. Let j(r) = -1 - 5*r**2 - r**2 + 4*r**x - 2 + 2*r. Let m(w) = -1. Determine -j(d) + 3*m(d).\nAnswer: 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = -174. Suppose -h + 580 = 3*b. What are the prime factors of b?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273*v = -268*v + 5*a + 105, 2*v - 109 = 4*a - 77 - 74 for v.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*-12*7\/294.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 784460460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 28359 and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 43cc80 (base 13) to base 2\nAnswer: 110000110011101110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 80*h + 15. Let q be s(4). Let f = q - 231. Calculate the least common multiple of 2 and f.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22794 - 22793. Let r(g) = g**2 - 1 + 0*g**2 + 0. Let b(d) = -4*d**3 + 4*d**2 + 4*d - 4. Let m(c) = f*b(c) + 4*r(c). Factor m(n).\nAnswer: -4*(n - 2)*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 3. Suppose -10*w + 9*w = -2. Suppose w*g + 2*u - 37 = -21, -g + 3*u - 4 = 0. Give i(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of 0*z - 5\/3*z**3 + 0*z**2 + 1. Let u(w) = -w. Give u(f(x)).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -194*n + 53*n - 74*n + 27090 for n.\nAnswer: 126","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 11*u**2 - 25*u**2 + 6*u**2 + 7*u**2. Let z(m) = -7*m - 2*m - 2 - 28*m. Determine g(z(h)).\nAnswer: -1369*h**2 - 148*h - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of -1\/42*f**3 + 0 + 1\/840*f**6 + 3*f**2 + 1\/56*f**4 + 0*f - 1\/140*f**5. Solve l(x) = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -24333, -24325, -24305, -24267, -24205, -24113, -23985?\n\"Answer: l**3 + l - 24335","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 104177567 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/165515948 and 11\/372410883?\nAnswer: 1489643532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1995788, 1995792, 1995796, 1995800, 1995804?\n\"Answer: 4*b + 1995784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.30859 litres in millilitres?\nAnswer: 44308.59","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 348 and 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jbbdjbdbj. Give prob of sequence jbdj.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -753 + 755. Which is the third biggest value? (a) -1 (b) 23\/6 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 0*a**3 + 29*a**2 + 1\/24*a**4 + 0*a + 0. Let q(o) = -5*o**2 + 3. Give q(u(c)).\nAnswer: -5*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5829616032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -81, -333, -751, -1335, -2085, -3001?\n\"Answer: -83*z**2 - 3*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1388*r**2 + 3*r + 6. Let v be n(-4). Let t be -126 - -134 - 8\/2. Let o be v\/(-3) + t\/30*5. Round o to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 105106470 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 23*g**2 - 27*g - 155. Let i be t(26). Let f = i - 802. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -20315*q - 5038118. What is b(-248)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14054?\nAnswer: 2, 7027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(350)\/sqrt(252))\/(sqrt(1440)*1) + (-2*sqrt(3645) - (sqrt(80)\/sqrt(4) - 5*sqrt(80))).\nAnswer: -2591*sqrt(5)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -0.5461975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 455 + -492 - (-62 + -2).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -3*a**2\/2 - 1. Let c(o) = -2*o**3 + o**2 - o + 1. Let k be c(1). Let q = k - -3. Determine w(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.966384 rounded to two dps?\nAnswer: 0.97","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(505\/(-50) - 6\/(-60)) + 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -26, 4, 5 in ascending order.\nAnswer: -26, -5, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 9:28 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 19898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 34.85 - 37.7. Let n = t + 0.85. Which is the nearest to -0.1? (a) -0.5 (b) -3 (c) 1.2 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the third derivative of -7*g**5\/60 - g**4\/12 + g**3\/3 - 35*g**2 - 3*g. Determine c(-2).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and (84\/(-10))\/(111\/30 + -4).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 79 + 13 = -24. Calculate the greatest common factor of 54586 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/23)*j**(-2\/29))**(-30)\/((j*j**(-1\/3)\/j*(j*j*j**(-8)*j*j)\/j)\/(j**(2\/3)*j)**(12\/13)) assuming j is positive.\nAnswer: j**(300436\/26013)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3795 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 + 9 - 338*s + 392*s + 2.\nAnswer: 54*s - 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 less than -8101997?\nAnswer: -8101997.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + 6*w + 2 - 2*w)*(4 - 1 - 2).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 2835504?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1*2*((1*(0 + sqrt(275))*1)**2 - (-2 + sqrt(275)*-1*-4)**2).\nAnswer: -160*sqrt(11) + 8258","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2588561.\nAnswer: 409, 6329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 2, x: 2, z: 1, g: 1, w: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -595 or -186?\nAnswer: -186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 + 3*i**2 + i. Let r be 2 + 2 + 2 + -3. Let n be k(r). Suppose -4 = n*m - 22. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/5 of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1064*n - 1826. Let r be t(-2). Solve 55*v = -r - 138 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 646359 - 646256.0478. Let l = h - 103. Round l to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -44 + (20 - (1 - -4)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567957 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 third smallest value in -1, 1\/4, -3, 53?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12\/5? (a) 0.1 (b) 0.2 (c) -5 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/((-8)\/(-413))*2. Let d = 639 - f. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50939811 to the power of 1\/3, to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(-5)\/(-20) - 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.01 + 0.79. Let w = u - 1.4. Put 1\/4, -1\/3, w in decreasing order.\nAnswer: 1\/4, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -125 * -0.4.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 60*o - 135*o + 15*o - 567 = 329, 0 = 2*u - 5*o - 79 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23 + -58. Let p be (-3)\/(-9)*(-2 + 2 - a). Let u(w) = -10*w - 17*w**2 - 17*w + p*w. Let h(o) = o. Determine u(h(r)).\nAnswer: -17*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 + 18. Suppose 0 = -r*x + 144 + 51. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 5*m - n, -2169*m = -2170*m + 3*n - 6 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - 115 + 111 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 38.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - (-16)\/(-4)) + 0. Which is the third smallest value? (a) l (b) -0.9 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -3*u + 4. Let x(g) = 27*g**2 + g + 1. Let q be x(-1). Let o be ((-2)\/6)\/(3\/q). What is the units digit of w(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 6.8, 277, -0.08, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -22620 rounded to the nearest one thousand?\nAnswer: -23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2042959891 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -3 (c) -23\/49 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2\/21, -0.3, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*p + 2*u, 4*p - u + 10 = -1 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -53*f - 950. Let t be h(-18). Solve -3*q + t*q + 5*i - 24 = 0, -5*q + 24 = i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 419 - 349 = -5*k, 30 = -5*k + o for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 773 bigger than 772?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7, 34, 83, 160, 271, 422, 619?\n\"Answer: x**3 + 5*x**2 + 5*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (26\/(-8))\/13*((-8)\/28)\/(16\/(-28))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 3*n - 7, 4*r + n = -22 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4662 + -4802. Which is smaller: -138 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the third derivative of 0*i - 1\/12*i**4 + 3*i**2 + 0 + 2\/3*i**3. What are the prime factors of o(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1585857981 a multiple of 543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 289577?\nAnswer: 289577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - -0.145201.\nAnswer: 6.145201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 6, -4, 166, 1, 4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 128 - 119. Suppose -y*i + 2*i + 672 = 0. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1065 and 19525.\nAnswer: 58575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -1080*s**3 + 140. Let r(k) = 23*k**3 - 3. Give -140*r(y) - 3*u(y).\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/20 + 1\/2. Let y = 0.28 + -0.37. Which is smaller: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 308076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*a + 14136 = 229*a + 874*a + 136*a for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1353 + 913. Calculate the remainder when w is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 11 + 13. Let r = x + -42. Let j = r - -43. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-4)*(-5)\/((-10)\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 + 6*r + 5. Let j be k(-3). Let u(l) = l**2 + 12*l + 21. Let x be u(-9). Does 2 divide 21\/x*j - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1537586 to the nearest integer?\nAnswer: 1240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1422461 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 3 - (-1 + 2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from kjvmittvijijt?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1522.6 + -1230. Round v to the nearest ten.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 - 4*a**2 + 4*a - 3. Let n be 24\/(-5) - (-1)\/(-5). Let w be d(n). What is the common denominator of -99\/2 and w - (53\/14 - 1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11669 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.3 (c) 1\/17 (d) 133 (e) 3\/4 (f) -42 (g) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(12)*-5 - (-3 + sqrt(192) + 1)) + 1*sqrt(30)\/(sqrt(30)\/sqrt(3)) + (sqrt(48)\/sqrt(4) + 1)**2.\nAnswer: -53*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 389 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -51 (base 16) to base 12.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15827092, -15827094, -15827096?\nAnswer: -15827098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14025 is divided by 6983.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 582 divided by -3\nAnswer: -194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*q**3 + 0*q**3 + 5*q**3 + 8 + 136*q**2 - 19*q**3 + 9*q**3 in the form b*q**3 + v + o*q + k*q**2 and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*d**4 + d**3 - 4*d**3 - d**3 + (-3*d**4 - 2*d + 2*d)*(0 + 2 - 4) - 26*d**4 - 1808*d + 1808*d.\nAnswer: -18*d**4 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -683*g**2 - 688*g**2 + 2069*g**2 - 596*g**2.\nAnswer: 102*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 5.\nAnswer: -3, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102332?\nAnswer: 2, 25583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 98278.29km?\nAnswer: 98278290000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.757 + -0.72. Let o = w - 0.077. Round o to 2 dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26037 - 27447 = 94*n for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 266 = 4*w + d, -d - 389 = -3*w. Calculate the remainder when w is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.55*-40.73\nAnswer: -63.1315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2106, 4378, 6776, 9300, 11950, 14726?\nAnswer: 17628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26 (base 11) to base 10.\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -45 take away 70?\nAnswer: -115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 5 and -104.9.\nAnswer: -99.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5628.7 - 5629. Let i = 1.12 + -0.12. Sort i, 2\/15, j, 0.3 in decreasing order.\nAnswer: i, 0.3, 2\/15, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 - 31 = -r. Is 11 a factor of -2 - ((r - 0) + 2 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7335 + -2127. Does 62 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/3411 and -37\/125449.\nAnswer: 1129041","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2223220 and 98671?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:29 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -440*w + 439*w = -3. Suppose -2*y + 2308 - 526 = 4*z, 2*y - 1338 = -w*z. Calculate the least common multiple of 10 and z.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2363162 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 175 = 4*b, -v = 2*b + 2*v - 93. List the prime factors of b.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 - 5*h**2 - h + 5. Let z be p(5). Find the common denominator of 2\/1 + 158\/(-32) and (z + (-68)\/128)*-4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 87*q**2 - 59*q + 253. What are the prime factors of m(11)?\nAnswer: 3, 11, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5\/3, 2\/3, -8, -6, -3\/4, -42\/5, -0.04?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/6*10)\/((-30)\/12). Let i(z) = -2*z**2 + 3*z**r - 399*z + 403*z + 4. Give i(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from obobbboobo. Give prob of sequence boo.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 - (5 - (-133)\/(-9)). Solve 3*t + 2 = -k for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*g**2 + 370*g + 372*g - 23 + 377*g - 1119*g + 23.\nAnswer: -179*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u**(3\/5)\/u))\/u)\/u)**14\/(u**(-1\/2))**(-18\/11) assuming u is positive.\nAnswer: u**(-507\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d - 33 = 15 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*h - 7 = 20*h + p, 2 = -2*p for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of (-19)\/(0 + (-2 - -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + 1 - (-12 + 10 + (-8)\/(-1)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5\/15 - 34*g**4\/3 + 358*g**3\/5 - 546*g**2\/5.\nAnswer: -2*g**2*(g - 3)**2*(g + 91)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**2 + 0*p**2 - p**2)*(2*p - 2*p + 2*p) - 1982 - 9305*p**3 + 9306*p**3 - 864.\nAnswer: 3*p**3 - 2846","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r. Let j be (-1)\/(2*(-2)\/8). Let l(u) = u. Let f(v) = j*x(v) + 2*l(v). Let y(d) = -2*d. Determine y(f(m)).\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 4*w**2 + w - 4. Suppose -3*f - 3 = 6. Let d be n(f). Solve -d*g + 16 = -6*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -4\/1925?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -4, 9941, 4\/5, 2, -5, -1.\nAnswer: -5, -4, -1, 4\/5, 2, 29, 9941","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2 - 3 + 2 - 1 + (-3 - 3 + 5)*(2 - 1 - 3) + 10 - 4 + 19)*(-3*j - j + j).\nAnswer: -81*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 390220 and 71068?\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*r**4 + 2*r**4 + 16*r**4 + (6*r - r + 0*r)*(22*r**3 + 89 - 89) as i*r + n*r**3 + v + d*r**2 + x*r**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 17, m: 1}.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -7*f**2 + 3*f - 7. Let l(n) = 11*n**2 - 5*n + 11. Let g(w) = w - 18. Let o be g(13). Let c(v) = o*l(v) - 8*m(v). What is c(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 723 - 5080*h**2 + 10573*h**2 - 5039*h**2 wrt h.\nAnswer: 908*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**2 + 3*i + 4. Let a be (-1)\/((-2)\/((-6)\/1)). Let n be f(a). Solve 3*l + 5 + n = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/12 and (308\/(-32) - (-4)\/(-16)) + 4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 1662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 11*o**2 + 11*o + 12. Let v be x(-10). Suppose -v*a + 8 = 4*b, 0 = b + 4*b - 5*a - 10. Let z(i) = 2*i**2 - 2*i - 1. What is z(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(117) + -5)**2*-5.\nAnswer: -665 + 120*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 141*d**2. Let m(k) = -4*k**2. What is g(m(i))?\nAnswer: 2256*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15641 + 187565\/12. Calculate the common denominator of 187\/42 + 70\/(-245) and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*x + 3, 2*x - l + 5 = 4*l. What is the lowest common multiple of 4 and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2\/43 + -47\/86. Let g = 3470 + -3469.6. Let q = -1 - -4. Which is the nearest to z? (a) g (b) q (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 4 = -3*b, -4 = -612*r + 613*r for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 69 + -142.9. Let h = -70.32 - v. Round h to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*y + 10*y = -174. Does 9 divide ((-1059)\/(-3) - -3) + y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 3 + 9 + (2 - 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 + 18)*43\/258. Solve -2*r = -5*v + 3*r - 15, 2*r = -p*v + 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-1692)\/198))\/((-440)\/(-240))?\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of -23*x**3\/3 - 28. Let c(w) = 3*w + 5. Let j(h) = 2*h + 4. Let p(b) = 4*c(b) - 5*j(b). Calculate k(p(o)).\nAnswer: -92*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - -1. Let i be ((-4)\/p)\/(8\/(-40)). Suppose o + 0*o = -2*b - 6, -5*o - 10 = 5*b. Are o and i equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**2\/3 + 7889212*n\/9 - 1753160\/3.\nAnswer: 4*(n + 657435)*(3*n - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -303399036*i**2*n**3*u**3 + 317*i**2*n**3*u + 138*i**2*n*u**2 + 61*n**3*u + 6*n**2 wrt u?\nAnswer: -1820394216*i**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190) - (-2*(sqrt(190) - (sqrt(190) + 1*sqrt(190))) + sqrt(190)))\/(-5*sqrt(20)\/sqrt(2)).\nAnswer: 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 4, -73, -2, -20 in ascending order.\nAnswer: -73, -20, -4, -2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2d2223a + 1?\nAnswer: -2d22239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 699 is divided by 177?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 32*r**2 - 32*r + 43. Let d be a(-33). What is the highest common divisor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 99976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 359 = 3*u + 1594, -2*q - 5*u + 525 = 0. Suppose g = 4*s - 37, -80*s + 85*s = g + 47. What is the greatest common divisor of q and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.02766 + -2.97234. Sort -157, s, 4, -2 in decreasing order.\nAnswer: 4, -2, s, -157","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 889 and 8385937?\nAnswer: 8385937","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -468, -972, -1476, -1980, -2484, -2988?\nAnswer: -3492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 513 (base 9) to base 14.\nAnswer: 21b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 740 = 5*v + x, 0 = -4*v - 2*x + 598. Calculate the greatest common factor of v and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110001101101 (base 2) to base 12\nAnswer: -1a11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -140*y + 51*y + 444*y = -25205 for y.\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = 6*f + 213. What is the second derivative of f + 13*q - 3*q**5 - 73 + 6*q**5 wrt q?\nAnswer: 60*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 268 = j. Let c = 57 - j. Suppose -3*a + c = 2*a. What is the greatest common divisor of a and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u + 0 + 0 + (-38717 - 779*u + 38717)*(0 - 1 + 4)*(2 + 1 - 5) + 4*u - 2*u + 0*u to the form l*u + j and give l.\nAnswer: 4675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 778 - 392 - b - 391. Let x(v) = v**2 + 4*v + 7. Let a be x(-2). Let h(q) = -2*q**2 + 7*q - 8. Let s be h(a). What is p(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 206129?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r**4 - 304*r**3 - 932*r**2 + 304*r + 930 = 0.\nAnswer: -3, -1, 1, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - -119358.\nAnswer: 119364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2395.839 - 2497.79. Let x = -102 - h. Let o = x - -6.249. What is o rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -23*h**3 + h - 1. Let a be c(2). Let u be a\/24*-2 + (-3)\/12. Solve v + u = 6*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17015179 is divided by 72?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 - 6. Calculate z(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2304)*1 + sqrt(2304))*1 - sqrt(2304))\/((sqrt(768) - -1*sqrt(768))*6).\nAnswer: sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5496.7 and -17.2?\nAnswer: 5513.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 7*v + 5*w - 64, 43 = 4*v + 3*w. Let k(p) = 31*p**2 - 10*p**2 - 10*p + 5 + 5*p. Let i(j) = 32*j**2 - 7*j + 7. Give v*k(y) - 5*i(y).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*y, -3*r + 4*y = -2*r - 7. Let j be (8\/(-45))\/((-4)\/30*r). Solve -j*h**2 + 14\/9*h - 2\/9*h**3 - 8\/9 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (15 + -13)*1\/1*2. Solve 0 = -2*l + 2*n + 12, -5*n + h*n - 16 = -3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133780?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2096.6755 to the nearest integer.\nAnswer: -2097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 35 - -54. List the prime factors of z.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 - 2*i**3 - i**2 - 877*i + 4*i**2 + 2 + 1171*i as a*i**3 + k*i**2 + h + c*i and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 PM and 12:28 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -563 + 1366. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 8*q - 14. Let t(y) = 5*y - 10. Let b be t(4). Let v be m(b). Suppose 0 = 8*k - v*k - 32. Calculate the highest common divisor of k and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71.3 - 71.3001268. Round o to six dps.\nAnswer: -0.000127","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2 and -0.38421.\nAnswer: 1.61579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -6.47374812 >= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 0 - z - 1 - 2*z - 3. Let m be y(3). Let u(d) = -d**3 + 4*d**2 + 3*d + 2. Is u(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4\/55 (b) -206570 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 68*i + 2. Let f(w) = -w**2 + 2*w + 1. Let l be f(0). List the prime factors of u(l).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 3*s**2. Let h(m) be the third derivative of -m**5\/30 + 2*m**2. Calculate h(p(x)).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*m**2 + 9*m**2 - 9*m**2.\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 516061 - 6?\nAnswer: 516052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = 17*t - 73, 3*t = 5*f + 58 - 23 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -5. What is the units digit of (4\/(-10))\/(b\/30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118948*w**3 + 59480*w**3 - 5*w**2 + 59461*w**3 + 2*w**2.\nAnswer: -7*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2986*x - 40927. What is i(14)?\nAnswer: 877","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8295 = 3*d - n, 3*d - 13052 = -2*n - 4766. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -32, -39, -50, -65?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26980, -55587, -84194?\nAnswer: -112801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/40)\/((-12)\/(-10))?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*(r*r**(-6))\/r*r)\/(r**8*r*r))**(-1\/11)*r\/r**(-3\/7)*r**(-2\/11)*(r\/r**2)**(2\/21) assuming r is positive.\nAnswer: r**(80\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4372 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 34*y**2 - 1 - 5*y**2.\nAnswer: 29*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -i**4\/3 - 6*i - 5. Let n(d) = -25*d. Calculate l(n(b)).\nAnswer: -2500*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 102 and 204.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 96 and 291?\nAnswer: 9312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 560?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (16 - (62 - -11)) + 89\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 12936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 7:14 AM?\nAnswer: 6:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -11. What is the lowest common multiple of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3 + 37)\/2 + -2. Let z = y + -3. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -175*j**3\/3 + 137*j**2 + 8*j + 4. Differentiate o(s) with respect to s.\nAnswer: -350","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.124977 less than -0.19?\nAnswer: -28.314977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9871271 to the power of 1\/3, to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 y when three letters picked without replacement from zffyffyyyfs.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -58 - -58. Suppose 2*z - 48 = -4*l - t*z, -3*z = -4*l + 58. Solve -5 = 2*x - l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 8:48 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 5 * 0.18331\nAnswer: 0.91655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 38534049 to the power of 1\/2, to the nearest integer?\nAnswer: 6208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 95197 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -28, 547806, -5 in ascending order.\nAnswer: -28, -5, -2, 547806","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 617703449 a multiple of 869?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 354 and 58866.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*((-1)\/(-3))\/1. Let f be 2\/(-3 + t)*-46. Solve 5*p - f + 8 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 6*i - 350 = 0. Let j be (-31)\/((i\/10)\/(-5) - 4). What is j rounded to the nearest one hundred?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*l - 2, -y - 2*l = -4*y + 2. Suppose 0 = -s - y*s. Let t = -120 + 118. Which is greater: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5031 (base 7) to base 4.\nAnswer: -123021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 180\/14 + (122 - 135)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10462648 to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/1482 and -29\/312?\nAnswer: 5928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7 - 17?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 143 and 143?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -272.9044 to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 3*g - 60 = 0, -1 - 26 = -9*b + 2*g + 64 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.34251.\nAnswer: -0.068502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*c + 12*c**3 - 29*c**3 - 5*c**2 + 5*c**2 + 25*c**3.\nAnswer: 8*c**3 + 313*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6095196 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -653 - -645. What are the prime factors of (-5205)\/b + (-3)\/(-8)?\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 12 + 5 + -20.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -600? (a) -0.2 (b) 2\/3 (c) -0.4 (d) -2 (e) 58\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12 + ((-3)\/9 - 7\/((-924)\/(-1468)))\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 99926250*f**2 + 1441031456 wrt f.\nAnswer: 199852500*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1515*-4678.\nAnswer: 7087170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 81 = -4*o - 2*s, 4*o + s = 142. Let n = o + -31. Suppose -112 = -n*u - 36. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -361\/340 + 33\/20. Let y = g + -37\/34. Sort y, 0, 2 in increasing order.\nAnswer: y, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 325 and 11742.\nAnswer: 3816150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**4 - g**3 + 7257501*g**2 - 218238*g + 22 wrt g?\nAnswer: -12*g**2 - 6*g + 14515002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.78 - -0.9. Let d = j - -0.08. Which is the second biggest value? (a) d (b) 0 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -170238.29 - 0.07\nAnswer: -170238.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1139 and 25?\nAnswer: 1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25846552, -25846556, -25846560?\nAnswer: -25846564","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -z**2 + 163*z - 184*z + z**2 + 3*z**2 = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmm. What is prob of sequence mm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - n + 3*n. Let s(p) be the second derivative of 0*p**4 - 1\/70*p**5 + 0 + n*p**2 - p + 1\/21*p**3. What is h in s(h) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 4*y, 2*z = -2*z + 3*y. Suppose -d + z = 16. Let x = 3 - d. Solve -4*g - 3 = -x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 1, a: 1, t: 2}. Give prob of sequence taw.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2512\/15 + 619\/105. Let i = -161 - a. What is k in 2\/7 + 2\/7*k**5 + 4\/7*k**2 - 6\/7*k**4 - 6\/7*k + i*k**3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - -3. Suppose 5*l = -2*p + 69, 0*p + p - 54 = -a*l. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13753018?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4661 + 4611 - (-67 - 3).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 57.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2884 + 10828. List the prime factors of n.\nAnswer: 2, 3, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -24, 9, 46, 1, 0 in ascending order.\nAnswer: -24, -6, 0, 1, 9, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 12, -5, -0.5, 1\/7 in descending order.\nAnswer: 12, 1\/7, 0, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 10*n + 12. Let k be j(-4). Calculate the common denominator of (-670)\/8*(-1)\/5 and (21\/(-124))\/(2\/k).\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 4*d + 113, 14*x + 5*d + 2421 = 2901 for x.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/(0 - 1))\/((-3)\/(-5)). Let q be 3*i\/25*-30. What is the greatest common divisor of 30 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 5*f - 11, -f = -4*y + 2*f - 17. Let x(s) = 4*s + 10. Give x(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 61\/22, -0.2, 2\/3, -1, -0.4?\nAnswer: 61\/22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -357.66.\nAnswer: -35.766","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**3\/3 - g**2\/2 - 4*g. Let y be (1\/(-2))\/((-5)\/30). Let b = -6 + y. Give c(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -131 - -201. Let v be (-18)\/(-21)*c\/15 - -55. Let z = 227 - v. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 t when two letters picked without replacement from fffazzzqtatttqaytfqz.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.784 rounded to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 2) in base 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 664273, 664251, 664219, 664177?\nAnswer: 664125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 30. Suppose r*c - 10 - 102 = 0. What is the remainder when 40 is divided by c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -0.2. Let l = u + 0.8. Let o(m) = -m**2 + m - 1. Let g be o(1). Which is smaller: l or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**2 - i - 1. Determine x(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.66 - 3.927. Round d to 2 dps.\nAnswer: -0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.089 * -1.8\nAnswer: 0.1602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**2 - 3*w - 5. Suppose 3*s = -19*s + 1034. Suppose 0 = -29*r + s*r + 72. Let g(v) = 4*v**2 + 1 + 2*v**2 - 8*v - 15. Calculate r*g(h) + 11*y(h).\nAnswer: -2*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/11, 2\/13, -2, -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 26890?\nAnswer: 53780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r + 2 + 155*r**2 - 51*r**2 + 57*r**2 + 16*r**2 in the form m + b*r + p*r**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -19310?\nAnswer: 4\/9655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.357 to the nearest integer.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 + o - 1. Let c(n) = 3*n**2 + 21*n + 1. Let h(a) = -2*a**2 - a. Let r(g) = c(g) - 3*h(g). Let m(t) = -5*r(t) + 5*v(t). Factor m(b).\nAnswer: -5*(b + 2)*(11*b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12545 and 325?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1527200 and 240?\nAnswer: 4581600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-6) - -1)*-3. Suppose c - 11 = 3. Calculate the remainder when (14\/d)\/((-1)\/13) is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2*k + 28 = 0, k + 0*k = 2*a - 20. Suppose -x + 3*o = x - a, 64 = 5*x + o. Calculate the highest common factor of 96 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - 5) + (-156)\/36.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*d**2*p**3 + 471*d**2*p*s - p**3*s + p**3 + 115 wrt s?\nAnswer: 471*d**2*p - p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -1220341141?\nAnswer: 1220341201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*c + 148 = 0. Let o = -41 + c. What is the greatest common divisor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**5 - 40*s**4 - 325*s**3 = 0. What is s?\nAnswer: -5, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 837*p - 1649*p = -838*p - 624 for p.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3986*b**4 + 10*b**2 - 42?\nAnswer: 95664*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215696.\nAnswer: 2, 13, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*v - 170 - 1158 = 0, g - 341 = v. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 894 - -2?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43 and 601527?\nAnswer: 601527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**3 + 1833*d**2 - 9048*d - 25452 = 0.\nAnswer: -2, 7, 606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**14\/(q\/q**(-2\/37)) assuming q is positive.\nAnswer: q**(479\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j - 1. Let r(h) = h**3 - 11*h**2 - h - 6. Let f be r(11). Let y = -13 - f. Let k = y + -1. Calculate d(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 6610?\nAnswer: -6612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(100) - -1*(sqrt(100)*1 + sqrt(100)))*-6)\/(sqrt(22)\/(sqrt(44)\/sqrt(4)) - (sqrt(2) - sqrt(24)\/(sqrt(12) - (sqrt(12) - sqrt(192))))).\nAnswer: -360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*-82.\nAnswer: 1066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 236.9275 micrograms in tonnes?\nAnswer: 0.0000000002369275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (286\/(-33))\/((-3)\/(-2)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55048 + -55047.99952154. Round s to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzn when three letters picked without replacement from zzznnnnnnnnnnnnnnnnn?\nAnswer: 17\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x\/(x*x**(-2\/5))*x*x)\/x)**(-3\/5))**25\/((x\/(x*x**3))\/((x\/(x\/(x*x\/((x*x*x**(-4\/7))\/x))))\/x))**30 assuming x is positive.\nAnswer: x**(498\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6392.704mm in meters?\nAnswer: 6.392704","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 994947352\/5096 + (-2)\/(-13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 1\/186, 0.4 in ascending order.\nAnswer: 1\/186, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m**2 + 3*m - 5. Let z be q(-4). Let y = z + -13. Determine x so that 3*x - 3*x + x - x**4 + x - 2*x**3 + x**y = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3)*(51*d - 23*d + 61*d) + 0 + d + 0 + (-5 + 4 + 0)*(-4*d + d + 5*d) - 1 + 1 - 4*d - 3*d - d + 7*d.\nAnswer: 87*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of 0*v**3 - 1\/8*v**4 - v**2 + 31 + 0*v. Let g(r) be the second derivative of u(r). Let i(k) = 34*k**2. Calculate i(g(w)).\nAnswer: 306*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -152, -493, -1158, -2255, -3892, -6177?\nAnswer: -9218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -15*f. Suppose -2*u - u + 6 = 0. Let h(x) = -2*x. Let s(r) = u*w(r) - 14*h(r). Let y(d) = 2*d**2. Determine s(y(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -45789, -183128, -412023, -732474, -1144481, -1648044, -2243163?\n\"Answer: -45778*l**2 - 5*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1301, -2978, -5035, -7472, -10289?\n\"Answer: -190*w**2 - 1107*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235 + 254 - (1 + 14).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(19)*2 + 2)**2 + 1.\nAnswer: 8*sqrt(19) + 85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 8 = -12*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -18253 >= -18270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -5, 546 in increasing order.\nAnswer: -5, -1, 0, 546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 k when two letters picked without replacement from dkskx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 m when three letters picked without replacement from {n: 2, m: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -t + 8. Let w be -4 - (-3 - (-9)\/t). Is w less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 311.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*((5*(sqrt(68) - -1*sqrt(68)) - sqrt(68)) + sqrt(68) + -4 + sqrt(68)*-2))**2.\nAnswer: -18432*sqrt(17) + 628992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(605)*2 + sqrt(45)\/sqrt(36)))**2.\nAnswer: -405*sqrt(5) + 91161\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.14 (b) -35 (c) 5 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -412 divided by 103\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 11127*n - 242358. Determine o(22).\nAnswer: 2436","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 24934 and 5943?\nAnswer: 21168966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 117 and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + -4.5. Let f = -545.06 - -550. Let a = s + f. Are -3 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 15\/4252331 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 2 q, and 1 l when four letters picked without replacement from {t: 6, p: 2, l: 3, q: 2}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 6.9. Let j = 0.13 - -0.87. Let k = 0.6 - j. Which is the biggest value? (a) w (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1470)*-1 - sqrt(30)) + (sqrt(180) + sqrt(180)*-2)\/sqrt(6))\/((sqrt(10) - sqrt(70)\/sqrt(7)*4)*5).\nAnswer: 3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 92 = 78. Suppose -134*d = -127*d - 28. Suppose 2*b + 304 = -7*u + 9*u, d*b = -2*u + 310. What is the highest common factor of u and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (28\/(-36) - 1 - 3).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/57120 and -59\/10108200.\nAnswer: 283029600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 24? (a) 0.099 (b) 179 (c) 0.01 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, b: 11}. What is prob of picking 1 b and 1 j?\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 6. Let v = 19 + -19. Calculate j(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0\/(-1)*(-4)\/(-4). Suppose x = -2*q + y - 4*y + 21, 8 = q + 4*y. Let j = q - -7. Calculate the remainder when j is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61*k - 70166 + 70166 + k + 2*k - 4*k + (0*k + 2*k - 4*k)*(1 + 0 + 0) + 5*k + 0*k - 3*k - 4 - 2*k + 4 + 2*k + 3*k - 4*k.\nAnswer: -63*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 15*o - 55*o**3 + 48*o**3.\nAnswer: -7*o**3 - 13*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 2, s: 2, h: 1, m: 1, n: 1}. Give prob of sequence md.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(-383)*(-8)\/(-16). Let m = -18777\/1532 - l. What is the common denominator of m and 49\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -16, -16, -10?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 885851901 a multiple of 7611?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/311727 or 0?\nAnswer: -2\/311727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -19\/11, -34.\nAnswer: -34, -19\/11, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*x - 4088 = -28*x. Calculate the highest common factor of 4 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sggsssgsssss. What is prob of sequence sgg?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + -1*sqrt(104)*3)*1*-5)\/(sqrt(16)\/sqrt(2)*-1 - -4*(sqrt(8) + sqrt(128))).\nAnswer: 10*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2. Let m(l) = -4*l + 15828. Calculate q(m(r)).\nAnswer: 16*r**2 - 126624*r + 250525584","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i - 1. Let p be 61\/(-7) - (-24)\/(-84). Let r = -6 - -14. Let k = r + p. Calculate h(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-914 - 0)*46\/1288*-14. What is u rounded to the nearest one hundred?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -168 - -277. What are the prime factors of w?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.22 and 0.02?\nAnswer: 0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -7*d**6\/24 + d**4\/6 - 7*d**2 - 19*d. Let b(z) be the first derivative of w(z). Find the second derivative of b(l) wrt l.\nAnswer: -210*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -412 * -34.\nAnswer: 14008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6366 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 3*k + 2. Let o be i(-3). Calculate the highest common factor of 3 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 8:57 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -49\/64 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 54*t**2 - t + 1. Let v be c(1). Let p = -38 + v. Let z be 1 + -2 + 20\/p. Which is greater: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -u + 4*u + 2*p, -4*u - 2*p + 14 = 0. Solve u*z = -8 - 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -347 - -5?\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, z: 1, x: 4}. What is prob of picking 1 h and 2 x?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 - 10*l**2 - 137*l + 306.\nAnswer: (l - 17)*(l - 2)*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38.3 - 85. Let i = 57.28 + b. Let r = 10 - i. What is r rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**2 + 5*s - 6. Let y be n(-6). Suppose -5*o + 15 = -5*c, y = o + o - 5*c - 3. Solve -z - z = o for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -3*w - 9. Calculate the lowest common multiple of 6 and p(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 127 - 6?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 108 - 108. Suppose 6*d - 572 - 1780 = t. Calculate the greatest common factor of 56 and d.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 19917081?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -4*k - 14. Let i be n(-4). Suppose 0 = -z - 5*h - 27, -2*z = i*z + h + 13. Let j = z - -3\/2. Is j bigger than 3\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*x + 3)*(2 - 1 + 3)*(50 - 50 + 2*x).\nAnswer: -16*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z + 860 = 206*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14494 is divided by 801?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 5*v + v)*(18*v + 653 - 653).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-810)\/(-40)*2)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 9:47 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = 2*k + 46 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - 4*g**2)*(15*g + 16*g - g + (-g + 4 - 4)*(7 - 5 + 4)).\nAnswer: -96*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/7 + 60*r**3\/7 + 174*r**2\/7 + 172*r\/7 + 57\/7.\nAnswer: (r + 1)**3*(r + 57)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384845017?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 0.049?\nAnswer: -0.196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, 2\/11, 64, -0.1418?\nAnswer: -0.1418","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (300 + 281 - 753)*(-p + p - 2*p**3) as a*p**3 + d*p**2 + s*p + n and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 465 to the power of 1\/2, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + -10984?\nAnswer: -10982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20804, -41594, -62386, -83180, -103976, -124774, -145574?\nAnswer: -166376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 14*c**4\/11 + 25378*c**3\/11 - 988330*c**2\/11 + 7043862*c\/11 - 1932444\/11 = 0.\nAnswer: -1851, 2\/7, 9, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 70023361 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 5*f - o - 214, -3*o = -2*f + 72. Let w = -23 + f. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w**2 + 36*w + 43. Let q be s(19). Suppose -x + 5272 = -2*r + 6*r, -6565 = -q*r + 5*x. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-11 + (5 - 4)) - -18?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 303*q - 910. Let c be i(3). What is the third biggest value in 4, -2\/21, c, -4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**2\/2 - 16. Let x(q) = 105*q. Calculate f(x(d)).\nAnswer: 105*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*s + 34, -5*s - 21 = 3*r - 122. Solve 2*k = 5*q + s, 3*q - 4*k - 9 = -27 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 6:51 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 882402*116.1\nAnswer: 102446872.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 - (-127 + 39 - -26)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from kkkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j. Let v(y) = -10 + 2*y + 2 - 6 - 2. Let m be v(9). Let b(x) = 0*x + m*x + 39 - 39. What is b(f(h))?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 12*i - 4. Let v be y(3). Suppose 4 = 4*q - v. Let q*t - 10*t - 2*t + 0*t + 2 + t**2 = 0. Calculate t.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or 114209\/6?\nAnswer: 114209\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 16*k**3\/3 - 5431*k. Let h(z) = -12*z**2 - 4*z. Calculate d(h(p)).\nAnswer: -384*p**2 - 128*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2300 + 2305. Factor -3\/2*w**3 + 3\/2*w**2 + 0*w - 3\/2*w**4 + 0 + 3\/2*w**m.\nAnswer: 3*w**2*(w - 1)**2*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-9) + 274\/6. Suppose -45 = -5*n + 4*c + 1, 5*c = 5*n - r. Suppose 3*u - n = 2*u. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2\/3, -1\/4, -2.\nAnswer: -4, -2, -2\/3, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -722, 4, -40.\nAnswer: -722, -40, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 206*h*z**2 - 1607658*h - 786*z**2 + 2 wrt z.\nAnswer: 412*h*z - 1572*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1789 divided by -16.\nAnswer: 1789\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1 + -1 - -13)*23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - -3.177192?\nAnswer: 3.277192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*b - 2186 = -20*b - 7538 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2376733477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2719755.\nAnswer: 3, 5, 19, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2012, -2002, -1992?\n\"Answer: 10*u - 2022","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/7 + (-61)\/7. Let i(o) = -o**3 - 9*o**2 + 3. Let b be i(k). Find the third derivative of -3*t**5 + t**3 + b*t**2 - t**3 wrt t.\nAnswer: -180*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -8*k - 50 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o**3 + 5*o**3 - 2*o**3 + (0*o - 5*o - o)*(7*o**2 - o**2 - 3*o**2) + (2 - 5 + 2)*(0 + 0 - o**3) to the form w + n*o**2 + c*o**3 + l*o and give c.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -9720, -46958, -109014, -195882, -307556?\n\"Answer: d**3 - 12415*d**2 + 2694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 9 + 72\/(-32) + -6. Let s = 0.5 - 0.1. Which is the third smallest value? (a) -3\/2 (b) h (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kkmmkmk.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 13) in base 2?\nAnswer: -11111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -155958.78*5\nAnswer: -779793.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 320279 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 21 - 19. Let c(y) be the first derivative of 0*y**3 - 3\/5*y**5 - 3\/2*y**v + 0*y**4 + 0*y - 3. What is the second derivative of c(k) wrt k?\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 29 - 27. Let b be (-1 + 92\/(-20))\/(v\/(-80)). Let h = b - 76. Does 37 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - (3 - 6) - (4 + -2). Let f(w) be the first derivative of 3*w + 1\/3*w**x - 1 + 0*w**2. Differentiate f(o) with respect to o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y\/(y\/(y\/(y*y**42))*y))\/y)\/y*y*y))\/y*y**(-33)*(y**(12\/7)\/y)\/(y**6\/y) assuming y is positive.\nAnswer: y**(40\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 - (-46 + (85 - 41 - 34))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 255 + -251. Put 27, x, -5, 13 in ascending order.\nAnswer: -5, x, 13, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Suppose -5*k = r*o - 8, -5*k = 2*o - 3*o - 4. Which is smaller: o or 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 2*x - 4*x + 190 = 0, -3*x - 475 = -5*b. Suppose 0 = 3*w - 3*l - b - 418, -4*w + 694 = -2*l. Does 3 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141 is divided by 40?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11167 is divided by 73?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3678, 2193, 712, -765, -2238?\nAnswer: -3707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7440.407 tonnes to kilograms.\nAnswer: 7440407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 172, 711, 1610, 2869, 4488?\n\"Answer: 180*z**2 - z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from aabarruaavaavrvuarva.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 488 = 5*j, 3*j + 3*t - 91 = 2*j. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -721, -717, -701, -667, -609, -521, -397?\nAnswer: -231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/12 + (89\/12 - 12\/2). Determine r so that 1 + v*r**2 + 1\/3*r**3 + 7\/3*r = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -667863293*w**2 + 86*w + 4763431?\nAnswer: -1335726586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**3 + 11*o**2 - 14*o + 13. Let b be m(10). Let r be (-6)\/b + 56\/(-9). Let f(x) = x**2 + 6*x - 6. Give f(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**3 + 66*w**2 - 22*w - 52. What is the tens digit of l(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 126, 287, 448?\n\"Answer: 161*d - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 56 and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1728595*z**2 - 5667796*z?\nAnswer: 3457190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 9. Suppose q*f - 16 = 4. Find the third derivative of 5*b**5 + b**2 + 0*b**5 - 2*b**f wrt b.\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(88) + sqrt(88)*2 + sqrt(88)) - sqrt(88)) + sqrt(88) + sqrt(88))\/((sqrt(120)\/sqrt(3))\/sqrt(5)).\nAnswer: -7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1066705 < 1066704?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + d - 2*w - 88, -38 = -d + 5*w. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016313579 to the power of 1\/3, to the nearest integer?\nAnswer: 1005","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/4 and -61\/29828.\nAnswer: 29828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/54*9*(-2)\/(-12)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4332867 is divided by 77372?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003789008 rounded to five dps?\nAnswer: 0.00379","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -3795\nAnswer: -3\/1265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 755371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 109, 213, 317?\n\"Answer: 104*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22 + -10 + -15)*(-4)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 43880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -11, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k + 2*u - 154, -2*u + 2 = -2. Let a be -3 - 0 - -4 - -1. Suppose -a*h + 28 = -12. Calculate the greatest common divisor of h and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.37809 millilitres in litres?\nAnswer: 0.02337809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 331 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 3*p - 1727 = -1658, -6*a + 3*p = -96 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 52 + 382. Let x be (-10)\/(-35) + o\/21. Let s = x - -1. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that h**4\/3 + 7*h**3\/3 + 8*h**2\/3 - 16*h\/3 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 7*t - 2. Let c be o(5). Is c\/(-2 - -4) + 11 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21110 + 111?\nAnswer: 21221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 3*u - 18, 2*s - 2*u - 2 = -4*u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 322358849?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x - 10097*x**2 + 14172*x**2 - 4*x.\nAnswer: 4075*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4366.\nAnswer: 2, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 139*p**4 + 9191*p**3 + 2091458*p**2 wrt p.\nAnswer: 3336*p + 55146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2665 + 1545. What is v rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -18, -29, -40?\n\"Answer: -11*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3041 - 124?\nAnswer: -3220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 13*n**2 + 2*n - 1. Let b be q(2). Suppose b + 20 = 5*v. Suppose 3 - v = -3*p - 2*s, -5*p - 5*s = -15. Calculate the highest common factor of 8 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9080\/17 + -535. Let h = q - -79\/51. Which is the closest to h? (a) 1 (b) 4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 0.396694\nAnswer: 0.1586776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 5073514 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -574\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.747662705 - -1?\nAnswer: -13.747662705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -504*r**3 - 864*r**3 + 392*r**3 - 532*r**3.\nAnswer: -1508*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (1 - 0) - (-20953 + 20944).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5586*c**3*m**3 - 47234*c**3*m - 164*c**2*m**3 + 1883*c*m**3 - 33*m**3 wrt c?\nAnswer: -33516*m**3 - 283404*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*x + 25 + 11*x**2 - 9*x**2 - 2*x**3 - 26 + 4*x**4 - 9*x**2 + 8*x**2 in the form s*x + u + m*x**4 + i*x**3 + g*x**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 2\/17, -2, -18\/7?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26987\/20979 - -2\/2997. Let j = 10 + 25. What is the common denominator of j and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 6:47 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2024, -324 in ascending order.\nAnswer: -324, -5, 2024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -621*p - 692*p + 1313*p - 4996*p**2 as q*p + c + y*p**2 and give y.\nAnswer: -4996","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25828 + 25828 - 2*c.\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 4*i - 7. Let u be 0 + (-5)\/(0 + 1). Let z be s(u). Let a = -4 - -1. Which is bigger: z or a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2672778005 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164 is divided by 96.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1.2 (c) -1614 (d) 7\/6 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, z: 4, x: 2, s: 2}. What is prob of picking 2 x?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -y + 5, -3*y = 3*i - 2*i + 5. Suppose y = 3*h + 3 - 9. Suppose m = 5*m - 4*j - 5028, h*m - 3*j = 2512. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*c + 248*c - 86*c - 85*c.\nAnswer: -8*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + l + 12. Let d be h(-5). Let t = 79 - 44. Let i = d + t. What are the prime factors of i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + t - t + (15*t - 179 + 179)*(1694 - 1694 - 252*t).\nAnswer: -3781*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 809246881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4*2\/4)\/(-2). Is 16*(-5)\/b - 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/(-20))\/((-6)\/(-4))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2 + -1 - ((0 - 3) + 15)) + 3\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 532673 (b) 14 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/(f**(-34)*f)*f**(-11))\/(f*(f*f\/f**(-1\/4))\/f)**(-45) assuming f is positive.\nAnswer: f**(501\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u. Let z(l) = -44*l - 18*l**2 + 8*l**2 + 44*l. Give y(z(n)).\nAnswer: -90*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254419.\nAnswer: 587, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, a: 3, u: 1, g: 3, m: 1}. What is prob of sequence mg?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153798738.\nAnswer: 2, 3, 97, 401, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 109 - 33 + 34*q - 29. What is the hundreds digit of f(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -772 - -1103. Suppose 5*t - 3*c - 269 = 1294, t = -4*c + q. What are the prime factors of t?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, -1\/6, 9, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g. Let p(t) be the second derivative of 0 + t + 1\/6*t**3 + 0*t**2. Calculate r(p(o)).\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 + 93791\/4686 + 1.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 8*o - 48545123. Let u(d) = -d. Calculate h(u(p)).\nAnswer: -8*p - 48545123","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -5*i**3\/3 - 2*i**2 + 4*i - 25. Let c(l) = -9*l**2 - 7*l + 7. Calculate 4*c(d) - 7*n(d).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -125*z**2. Let w(k) = -4*k**2. Calculate w(x(m)).\nAnswer: -62500*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (27 - 18) + (9 - 8 - -2)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 43992 and 1410?\nAnswer: 219960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*n**3 + 15644319*n**2 - 31288628*n**2 + 15644325*n**2.\nAnswer: -12*n**3 + 16*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.16 - 0.06. Which is the smallest value? (a) -0.4 (b) k (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 13*i**3 + 29*i**2 - 33*i - 20. Let g(v) = -3*v**3 - 7*v**2 + 8*v + 5. Let q(p) = 9*g(p) + 2*m(p). Let n be q(-6). Solve 2*x - n*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1057 + -494. Let r = 12 + z. What is the greatest common divisor of r and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*a - 522 = -186. Let g be a + 13 + (-13 - -6). What is the greatest common factor of g and 310?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/(4 + (-67705)\/16930 - 0). Suppose 5*y - 6772 = -4*i, -10*i + 3*y + s = -6*i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 13 + 9. Let n be (-28)\/(-4)*1*(4 - -1). Let m = 44 - n. Calculate the lowest common multiple of m and x.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1258419.1554 rounded to the nearest 10000?\nAnswer: -1260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1286*j**3 - 39 - j - 73 + 19 + 1285*j**3 - 10 to f + s*j + u*j**3 + y*j**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2569? (a) 7 (b) -6\/19 (c) 5 (d) -7 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4 = 0, 2*r - 88 = -3*l + 6*r. Suppose -l*u + 25*u + 1260000 = 0. What is u rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 9 - 3 = 0. Suppose -3*n = j - 477, 477 = 6*n - z*n + 2*j. Suppose -2*u + n = u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -g**9\/75600 + g**8\/11200 - g**7\/6300 + 25*g**4\/12 - 10*g. Let l(t) be the third derivative of h(t). Factor l(o).\nAnswer: -o**2*(o - 2)*(o - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19976, -40356, -60734, -81110, -101484, -121856?\nAnswer: -142226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/31, -13\/6, 3 in descending order.\nAnswer: 3, 2\/31, -13\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3531663*i**4 - 3230700.\nAnswer: -14126652*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 498.951 rounded to the nearest ten?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 2*a - 3. Let u(z) = z - 9. Let g be u(12). Let k(s) = s**2 + g + 2*s - 9*s + 2*s**2 - 13. What is -2*k(p) + 7*x(p)?\nAnswer: p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.09944 - 1.1. What is z rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1656 take away -7292955993?\nAnswer: 7292957649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.79. Let n = 0.01 - y. Which is greater: n or 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14837795 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j + 48. Let b be y(7). Suppose b*q = 30*q - 210. What is the highest common divisor of 20 and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 12. Let v(a) = 3*a**n - 5*a**3 + 6*a - 3*a**2 + 4 + a**3. What is v(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 4, 2, -1 in ascending order.\nAnswer: -3, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, v: 2}. Give prob of sequence vllv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -17*h - 3. Give l(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*b**2 + 9*b**2 + 17*b**2 + 3*b**2 + 625*b + 1 to the form p*b + j*b**2 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44*45\/120)\/((-3)\/2).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-16\/3)*h**(3\/19))\/(h**(-9)*h\/(h\/((h\/(h*h**(-3\/31)))\/h))) assuming h is positive.\nAnswer: h**(10121\/1767)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 4*d**2. Let n be b(4). Let g be (15\/3 - 3)*n. Is -1*(g*1 + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -3*s + 154, -5*y - s + 0*s = 202. Does 5 divide (120\/32)\/((-6)\/y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i = 14*i. Let v(p) be the first derivative of 0*p + i*p**2 + 4 + 2\/21*p**3. Factor v(u).\nAnswer: 2*u**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 5 = 2*q - 14, 0 = -q + 5*p - 7. Let l be (q + -10)\/(2\/(-27)). Calculate the greatest common factor of l and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*a + 11*a - 70. Let y be (3\/3)\/(-2)*a. Calculate the highest common divisor of y and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51\/4 of a microgram?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 + 13*i**2 + 2. Let n be f(13). Suppose -n*k + 6 = -14. Calculate the least common multiple of k and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.476*4.83.\nAnswer: 7.12908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -2*l**2\/3 - 36*l - 486 = 0.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -37 + 57. Suppose 21*c - l*c = 0. Suppose -k = -2*k + 4, -5*x + 5*k - 15 = c. What is the highest common divisor of x and 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*j - 12*j - 39*j)*(j + 2*j - 2*j)*(j**2 - j**2 + 4*j**2).\nAnswer: -124*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**2 + 15*i - 4*i - 23 + 72 - 33. Determine s(7).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 183233 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, j: 1, y: 1, o: 1, l: 2, r: 1}. Give prob of picking 1 l and 1 j.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -114660*s + 57338*s + 57357*s.\nAnswer: 35*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*x - 28*x + 34*x)*(20*x**2 - 8*x**3 + 23*x**3 - 17*x**3 + 2*x) - x + x + x**4.\nAnswer: 71*x**4 - 700*x**3 - 70*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4965 = -1951*l + 63320 for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -0*j + 4*j - 4, 0 = -5*j + f + 14. Suppose -6 = -j*t - t. What is the nearest to t in -0.1, -2\/7, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -90*m - 15308. Give r(-170).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433532 is divided by 2580?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -5\/8 (c) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38 + 14?\nAnswer: 4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - -233?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/186846 and 17\/26224.\nAnswer: 1494768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 121284150 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -56 divided by -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 18687984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 52 = 10*j - 7*j, 0 = 6*r - j + 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4681*c + 299*c**2 - 4681*c)*(3*c - 4*c + 0*c).\nAnswer: -299*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from {d: 4, i: 1, e: 3, l: 4, c: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 5, z: 3}. What is prob of picking 3 g and 1 z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2696 divided by -8?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 86237026*c**3*p**2 - 465*c**2*p**2 + 2*c**2*p + c**2 - 1418*c*p wrt c.\nAnswer: 517422156*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**4\/2 - 6257*s**3\/2 - 21919*s**2 - 31320*s = 0.\nAnswer: -5, -2, 0, 6264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + v**4)*(3*v + v + 2*v) - 4*v**5 - 3*v**5 + 5*v**5 + 5*v**5 - 13*v**5 - 8*v**5.\nAnswer: -12*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 134 by -85855.\nAnswer: -134\/85855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 66936 and 16.\nAnswer: 133872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 4*n**2 - 5*n + 5. Let x be y(5). Let j(u) = x*u - 3*u + 4 + 1. Let b(i) = -5*i**2 + 3*i + 4. Let l be b(-1). What is j(l)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 482537 is divided by 189.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 18. Let y be z(0). Let b be 6\/y*12\/(-2). Let t = 54 + -32. Solve 3*s + s - h = t, b*h - 1 = -s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 2. Let f(o) = o**2 + o - 2. Let y(c) = f(c) - 5*g(c). Give y(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 486374 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -784.631 to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -4, 10, 49 in decreasing order.\nAnswer: 49, 10, 9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + 3*n. Suppose -3*s = -2*d + 11, n = -2*d + s - 0 + 1. Sort -2\/9, d, 1\/2, 2\/15 in ascending order.\nAnswer: d, -2\/9, 2\/15, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyuyyuyy. Give prob of sequence uyyy.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 0*p**5 - 1\/14*p**7 + 0*p**2 + 3*p + 0 + 0*p**4 + 0*p**6 + 1\/2*p**3. Find the second derivative of g(y) wrt y.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-75)\/(-6) + (-4)\/8. What is the biggest value in 5\/7, w, -2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y + 8. Let w be 3\/(-6) + (-15)\/(-2). Determine t(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172.1 rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2 + 2*h - 4. Calculate the lowest common multiple of 1 and m(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29928.\nAnswer: 2, 3, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -6*w**2. Let a(k) = k**2 - 4*k - 7. Let i be a(6). Let u(y) = 4*y + 6. Let c(v) = 3*v + 5. Let h(z) = i*u(z) - 6*c(z). Give t(h(f)).\nAnswer: -24*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2. Let w(u) = -2*u**2 + 525*u. What is w(b(c))?\nAnswer: -2*c**4 + 525*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 + -58. What is the least common multiple of (-1)\/3 + z\/12 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 16*a + 301. Let h be f(-18). Solve 5*u + 2*s + h = 0, -3*u - 12 = -5*s + 2 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 0 (c) -1 (d) 0.011 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 60, -99, -398, -843, -1440, -2195, -3114, -4203?\n\"Answer: -o**3 - 64*o**2 + 40*o + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -11 - (-4 - -1) - 1. Let b be (r\/(-9))\/((-2)\/(-6)). Factor -1\/5*i**b - 3\/5*i + 3\/5*i**2 + 1\/5.\nAnswer: -(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2188052497 - 0.229.\nAnswer: -2188052497.229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*l, -411 = -4*q + 5*l + 114. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9298050.7 to the nearest 1000.\nAnswer: 9298000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**10\/l)*l*l**(2\/13))\/((l*(l**0*l)\/l)\/l)**(-13) assuming l is positive.\nAnswer: l**(-89\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 2 + 8. Calculate the remainder when (-5)\/f*(-1 + 13) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2940\/29 in 1, -2, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2556011?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 + w**2 - w**2)*(4*w + 66*w + 40*w + 103*w).\nAnswer: -213*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) 1\/2 (c) 1.29 (d) 4 (e) -0.06 (f) -0.092\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(45))**2 + -1 + ((5 + sqrt(5))**2*-6 - (sqrt(180) + -2)**2).\nAnswer: -318 - 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65996\/11 - -5995. Find the common denominator of -39\/14 and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19765 and 48374.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ui when two letters picked without replacement from {i: 2, l: 11, u: 2}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 14. Let s be j(-6). Suppose s*k - 898 = -5*d + 881, 0 = -4*k + 4*d + 3544. Is (k + -2 - -3) + 1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2 - 7*l + 2*l**2 - 4 + 4*l. Suppose 2*w - 4*c = -10, 0*w + 2*c + 4 = 4*w. Calculate the smallest common multiple of 10 and k(w).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 36 = -7*m. Solve 5*y - 4*a - 14 = 0, -a = -y - 0*a + m for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 - 24 = -h - 5*o, h - 55 = -4*o. Suppose 0 = 4*s - 1 - h. Is 5 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3807 and 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 11*h + 8*h - 10 = 0, 2*u + h = -6. Which is smaller: -8\/27 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -553310 (base 9) to base 13\nAnswer: -b7573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -19*f + 43. Let x(a) = 9*a - 22. Let y(o) = -6*b(o) - 13*x(o). Let m be y(8). Solve 0 = -n - 0 - m for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6615 and 1467585?\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -13 + 33 - (9 + -3). Calculate the greatest common divisor of 126 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -195*s**2 + 156*s + 156. Let v(g) = -g**2 + g + 1. Let l(z) = u(z) - 156*v(z). Let d(w) = 2*w**2. Give d(l(h)).\nAnswer: 3042*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 8*f + 28 = 0. Let m be f + 3 - (2\/(-1) - 3). Suppose -300 = -m*c - 16*c. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2809 = -88*a - 2545. Suppose -8\/7*t**2 + 0 + 8\/7*t + 2\/7*t**4 - 2\/7*t**a = 0. Calculate t.\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.3 + 2.3. What is the smallest value in -1, q, -22, -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a + 18. Let l be i(-6). Suppose l = -2*u + 144 + 24. What is the highest common factor of u and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = k + 10, -2*w - 30 = -2*k - 6*w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18453, 18457, 18463, 18471, 18481, 18493, 18507?\nAnswer: 18523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32661376 + 32661446 - 85*m - 65322822.\nAnswer: -85*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3164113912?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + (-1 - -1) - 8. Let p = -7 - l. Sort -5, p, 0.\nAnswer: -5, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 6\/13*k**4 - 4\/13*k**2 + 0*k + 10\/13*k**3 = 0.\nAnswer: -2, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 17 in -0.3, -4.5, -0.2, -6\/25?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/4))**(-20)*(x\/((x**(-6)*x*x)\/x))\/((x\/x**(-1))\/x))\/(x\/x**4*x**(-6))**(2\/97) assuming x is positive.\nAnswer: x**(18\/97)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -o + 14, -r - 17 = -4*r - 4*o. What is the remainder when 7 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 32, 121, 264, 461, 712, 1017, 1376?\n\"Answer: 27*u**2 + 8*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 223*y + 2*y + 6.\nAnswer: 225*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 567 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8660550 - 8660572.210905. Let q = -22.131 - v. Let j = -0.08 + q. Round j to five dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-6*((sqrt(192)*2 + -2 - sqrt(192)) + -5 - (sqrt(192)*1 + -5 + -4)) + 5))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98419\/229824 + 11\/32832. Determine m so that 36\/7*m - 12 + 45\/7*m**2 + c*m**3 = 0.\nAnswer: -14, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2699 + 2757. Solve 0 = -b*g + 25*g - 99 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 47 = 2*x. Suppose 5*b + 485 = k, -7*k + 2509 = -x*k - 4*b. Is k a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -40 + 116 + 107*u - 106*u - 38 - 40. What is y(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*a + 406 = -19*a. Let w = -47 + a. Sort -4, 2, w.\nAnswer: -4, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7200) + -2*sqrt(7200))\/(1*sqrt(810)))**2 - (2 + (sqrt(160)\/sqrt(8) + -5)**2).\nAnswer: -343\/9 + 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -4*y + 4. Let u(x) = -x - 3. Let f(r) = -4*r - 10. Let n(t) = -2*f(t) + 7*u(t). Determine 4*h(l) + 14*n(l).\nAnswer: -2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -284179 + 284184.20014. Let a = l + -5.2. What is a rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 s when three letters picked without replacement from {o: 3, s: 2, l: 4, x: 2, f: 6}?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11157579*l**4 + 5*l**2 + 4*l - 21599.\nAnswer: 267781896*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1255410 (base 12) to base 9.\nAnswer: -6681483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 15*f**2 - 6*f - 41. Let o(b) = -2*b - 75. Let s be o(-35). Is 28 a factor of r(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 4*o + 2*o + 20 = 0, -4*o = -l - 272 + 247 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*p + 21*p + 13*p + ((-6 + 3 + 1)*(4 + 2 - 2) - 2 - 2 + 2)*(-2*p - p + 6*p) in the form x*p + q and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 242203 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 24*t**2 - 2*t. Let q(y) = -607 + 607 - 2*y**2. Give u(q(v)).\nAnswer: 96*v**4 + 4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -394 or -396?\nAnswer: -396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 2*h + 1 + 13 - 22 + 5*h.\nAnswer: 7*h + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -226653*k**2 + 141415 wrt k.\nAnswer: -453306*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fofooofffff. Give prob of sequence off.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 10, x: 6, o: 1}. What is prob of sequence xioi?\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -o**4\/24 + 2*o**3 + 69*o**2. Let l be d(9). Solve -g - 2*g = l for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -201426 divided by 177?\nAnswer: -1138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u + 6. Let m be j(-4). Let p(q) = -q**3 - q**2. Let k be p(m). Suppose 60 = k*g - 16*g. Let n(w) = w**2 + 6*w + 1. Give n(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, m: 2, c: 11}. Give prob of picking 1 c and 1 m.\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of f**2 - 1\/12*f**4 + 4*f + 9 - 5\/6*f**3. Let a(y) be the first derivative of k(y). Calculate a(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-3))**(-7) assuming g is positive.\nAnswer: g**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a - 2. Let g(l) = -9*l - 24. Let q(z) = -g(z) + 12*o(z). Let y(v) = -4*v**2. What is y(q(c))?\nAnswer: -36*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 83\/6 - 145\/6. What is the common denominator of y and -37\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10133332 (base 6) to base 16.\nAnswer: -47618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 27*t. Let b(j) = 13*j. Let q(o) = 13*b(o) + 6*g(o). What is the second derivative of q(u) wrt u?\nAnswer: -36*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 - 0.2. Let q = 866\/9 + -96. What is the second biggest value in q, -0.4, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -64 (b) 3\/26 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(1 - 0)*100004\/(-92). Let c = -3426 - 3450. Let d = m + c. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 154 divided by -7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2640 + -2634. Let y be 1\/(1*1\/3). Suppose -6*t + 20 = -t + y*b, 43 = 4*t - 3*b. Solve q = -2*d - l, t*d - 4*l = 2*d - 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 404 or 62397\/155?\nAnswer: 62397\/155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 - -24. Solve -3*h = t + 2, -2*h - b - 3 = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1955\/3914 - -1\/1957. Find v such that -3\/2 + 2*v - l*v**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -34 - -34. Suppose 2*s - 2*j - 418 = 0, s + 3*s + 5*j - 845 = k. Does 54 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuueueeueeueueuuu. What is prob of sequence uu?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m - 5*m + 16*m. Let o(v) be the third derivative of -1\/15*v**5 + 0*v**4 + 0 + 0*v + 0*v**3 + 494*v**2. Determine n(o(j)).\nAnswer: -56*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 17 - (-20 - (-62 - -48)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70942177 divided by -4.\nAnswer: -70942177\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, h: 1, n: 3, f: 1, d: 1}. Give prob of picking 1 d, 2 n, and 1 f.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283849.\nAnswer: 17, 59, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-4)\/2*58\/232.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 58 and 244.\nAnswer: 7076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2602615968?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2853 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 -8996 = -93*w + 273538. Calculate the highest common factor of 186 and w.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -126876 less than or equal to -126907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 10*k**5\/9 + 506*k**4\/9 - 4526*k**3\/3 + 62830*k**2\/9 - 105376*k\/9 + 19880\/3 = 0.\nAnswer: -71, 7\/5, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -32\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35112092 to the nearest integer?\nAnswer: 5926","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k**2 - 38*k + 12 = 0. What is k?\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 8 + 9 = -4*o, 2*o = 3*j - 3. Which is smaller: j or 2\/37?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + -470?\nAnswer: -466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 7 + 11)*(19*c + c - 4*c).\nAnswer: -32*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (-11 - -4)) + (-8 + 16 - 16) + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 + 5 + (-2 - -2))\/(-11). Let l = 0.1 + -0.6. Let c = -1.5 + l. What is the second smallest value in s, 0.4, c?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 263302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -66, -135, -208, -285, -366?\n\"Answer: -2*s**2 - 63*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1788344, -3576698, -5365052?\nAnswer: -7153406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**3 - 18*b**2 - 21*b**2 + 39*b**2.\nAnswer: 6*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49868009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19548276 and 300.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 158*g**2 + 245*g**2 + 0 - 8 + 8 in the form z + q*g + h*g**2 and give h.\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 18\/(-1431)*(1 + -2)*3. Is 0 at most r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/29? (a) 3 (b) 0.3 (c) -3\/4 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 36.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -957*t + 1325 - 368 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 1605*s + 5 - 6 + 4.\nAnswer: -1605*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -141 (base 8) to base 7.\nAnswer: -166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 3 = q - 13, -g + 3*q = 8 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -407 (b) -5 (c) 2.134\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 349, 340, 331?\n\"Answer: -9*o + 358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-27)\/(-6) + -3)*40. Calculate the greatest common factor of v and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-8)\/(-6) - ((-36)\/(-8))\/3. Put -1, 5, q in decreasing order.\nAnswer: 5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 19295*k**2 + k + 17577*k**2 + 2*k.\nAnswer: -1718*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 2814 - 2809. What is the highest common divisor of u and 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 24*t**2 - 229*t + 4883. Calculate p(22).\nAnswer: 813","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 838946 to the nearest 10000.\nAnswer: 840000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-203)\/((-36)\/(4032\/(-196))).\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/7 + 111*q\/7 + 136.\nAnswer: -(q - 119)*(q + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjz when three letters picked without replacement from zzjjzzzjzzzz.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -216602353 divided by -2.\nAnswer: 216602353\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12781002.\nAnswer: 2, 3, 13, 163859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 + 4*l**2 - l + 2. Let x = -32 + 27. Calculate g(x).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -8. Let n = -204 + 172.9. Let i = n - -31.4. What is the fourth smallest value in m, 5\/2, i, -3?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.09071 - 0.16081. Let x = 0.92 - f. Round x to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 2\/3 + 2*k**2 + 8\/3*k = 0?\nAnswer: -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, w: 5, j: 2}. What is prob of picking 1 j and 2 w?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6.21 - -6.31. What is the closest to z in -1, 4\/5, 3\/8, 5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 100\/26 + -3 + 10 + -11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 1351*v**3 + 3*v**2 + 3*v + 3568. Let y(s) = -1353*s**3 - 2*s**2 - 2*s - 3569. Let j(i) = -2*b(i) - 3*y(i). What is the derivative of j(g) wrt g?\nAnswer: 4071*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 - 18*f + 1. Let p(m) = 5*m**2 - 79*m + 4. Let v(g) = -2*p(g) + 9*x(g). What is v(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -16 + 32 + -25 + 10 + -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes after 4:30 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 613*y - 444. Let a be c(18). Suppose -3*u = 4*o + 14, -5*u = -5*o - 11 - 24. Suppose -7*j - u*k + a = -3*j, 0 = j - 4*k - 2643. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -6*d**5 + d**4\/6 + d**3\/6 + 3*d. Let r be f(-1). Suppose -y = -s - 45, -5*s + 30 = 3*y - r. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1984794257 to the power of 1\/5, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-23)\/(3 - 7\/2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l + 3. Let z = 13 - 5. Determine g(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-2*sqrt(1053) + -4 + 1 + sqrt(1053))**2*-1.\nAnswer: -51606 + 378*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 2921181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13007 is divided by 31.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.082581 to 1 decimal place.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + b. Let v(m) be the second derivative of -2*m**5\/5 - 5*m**3\/3 + 141*m. Calculate 2*v(a) + 18*x(a).\nAnswer: 2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 147333 (base 10) to base 16.\nAnswer: 23f85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 422*q + 17751. Determine a(-42).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 147 a factor of 36024?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -3*o + 13*o - 2 - 7*o. Is i(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*r + 4*r - 15543. Calculate the common denominator of (-1)\/(-3) - (-327)\/(-72) and r\/(-330) + 1\/2.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i - 1. Suppose -3*q + 0*a = -3*a - 18, -3*q - 4*a = 3. Let m(c) = 9*c - 5 + 1 - q*c - 2. Let j(x) = -x + 7. Let z be j(6). Determine z*m(d) - 5*g(d).\nAnswer: d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 174, 260, 346, 432?\nAnswer: 518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 28 and 72?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**4\/4 + p**3 - 2*p - 3. Let d be z(2). Do 5\/4 and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from noooohnnonnhnnnh. Give prob of picking 2 h.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9\/7)*c)\/(c\/(c**(-14)\/c*c)) assuming c is positive.\nAnswer: c**(-107\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 224 or 225?\nAnswer: 224","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**2 - 11*j - 3. Let l be m(12). Calculate the highest common factor of 207 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649 + 634 = 3*s, -h + 5*s = 3*h - 45 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-3)\/2*(-98)\/21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 - 3*h**2 - 2*h**4 - 7*h**4 + 7*h**4 to t + z*h + i*h**4 + n*h**2 + f*h**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 12:29 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3)\/t)\/t*t**(1\/5)*t**1*t*t**(-1\/15)*t assuming t is positive.\nAnswer: t**(7\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 3. Let i(z) = -76*z**2 + 904*z + 102. Let o(m) = -i(m) + 2*s(m). Factor o(g).\nAnswer: 4*(g - 12)*(19*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -0*n - 3*n. What is the third derivative of 3*w**4 + 4*w**5 + w**n + 4*w**2 - 3*w**4 wrt w?\nAnswer: 300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.831124 times 0.4\nAnswer: -1.5324496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -3, 1385, 168 in descending order.\nAnswer: 1385, 168, -3, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l**2 + 0*l**2 + 2*l**2)*(-4 + 1 + 5)*(15 - 13 + 24) to t + f*l + d*l**2 and give d.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 3*m**2\/2 - 27. Let d(g) = g. Determine d(w(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(14\/12)*(22\/32)\/11.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (-2 + sqrt(847) + sqrt(847)))**2*6 - ((sqrt(70) - 1*sqrt(70))\/sqrt(10) - (-4*(0 + sqrt(7)))**2).\nAnswer: -264*sqrt(7) + 5218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 3514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 - 4*j - 5. Let h be z(5). Let r(w) = -w**3 + h*w + 5*w**2 - 1 - w + 2. Give r(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*l + l - l as v + k*l and give k.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4) - (-5)\/(-10). Let o(a) = 197*a**2 + 20*a + 4. Let r(v) = 99*v**2 + 9*v + 2. Let i(f) = -4*o(f) + 9*r(f). What are the prime factors of i(z)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k - w = -19*k - 6*w + 30 + 114, -k - 214 = -9*w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1536.6 + -1258. Let i = -279 + u. What is the biggest value in -0.1, 4, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/3343730 and -39\/15895?\nAnswer: 36781030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 150113 + -b2?\nAnswer: 150031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5 (b) 5\/2 (c) -3690 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 321 + -316. Let k = -1 - -5. What is the third biggest value in k, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 u when two letters picked without replacement from titohiruo.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2390685386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 382 - 572. Let n = s + 276. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2270569?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 13*k**2 + 12*k - 25. Let i be b(-14). Sort 2, i, 1.\nAnswer: 1, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**5\/20 - 11*m**4\/12 - 11*m**3\/6 + 13*m**2\/2 + 2*m. What is the units digit of o(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -1\/540*z**6 - 1\/27*z**3 + 0 + z**2 + 1\/108*z**4 + 0*z + 1\/270*z**5. Factor g(m).\nAnswer: -2*(m - 1)**2*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1*(-2)\/(-5))\/(-32*(-60)\/(-62400))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 12*v + 17*v - 1544 = 0, 0 = -o + 4*v + 798. Suppose -2*i - 2*i + 1272 = 0. Suppose -2*g + o = i. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33.38 + -1.58. Let g = -32 + t. Is -4 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -14*g - 1. Determine t(-3).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -112910 (base 11) in base 13?\nAnswer: -638b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 118 * -819.\nAnswer: -96642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526*h - 5 + 5 + 524*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -52 (b) 4 (c) -368 (d) 0.4 (e) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -23 - (4 + -7)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 2*w - 2. Let y(b) = 11*b + 1. Let x(a) = a**2 - 24*a - 4. Let i(q) = 3*x(q) + 7*y(q). Give -6*i(j) + 15*v(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-96)\/110))\/(18*(-1705)\/(-49104))?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*(4 - 3)\/(-1). Find the third derivative of -10*u**2 - 2*u**3 - l*u**3 - 10*u**4 + 9*u**3 wrt u.\nAnswer: -240*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 33 (b) -11 (c) -7071\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 2*q. Let m be o(3). Let j be ((-26)\/4)\/(m\/6). Suppose 5*g - 14 = 1. Solve 0 = l - g, 2*l = 5*h + 3*l - j for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -366, -357, -334, -291, -222, -121, 18, 201?\n\"Answer: g**3 + g**2 - g - 367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 331 (base 7) to base 2\nAnswer: 10101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201 (base 3) to base 11.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 6:49 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 3, c: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 37361 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: Suppose -3*d - 1 + 0 = -2*t, -4*d - 4 = -2*t. Let a be (t - 0)*(-172)\/(-8). What is the tens digit of a\/(-6) - 3\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 - -8\/3. Let x = -0.46 + -0.04. Let t = x - -0.9. Which is the closest to m? (a) t (b) -3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -31059*f**2 - 20*f + 4. Let x be o(-6). Round x to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 212fc9 (base 16) to base 6\nAnswer: 114341025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*j**2 + 0 + 140*j.\nAnswer: -j*(j - 280)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the first derivative of -3*d**4\/4 + 513*d**3 + 3087*d**2\/2 + 1545*d + 3946. Suppose b(i) = 0. Calculate i.\nAnswer: -1, 515","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rv when two letters picked without replacement from {r: 3, q: 5, b: 1, v: 1}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 7*v = -24, 19*v + 4 = 20*v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124113730 divided by 26.\nAnswer: 4773605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d - 16*d - 3 = 0. Let l be d\/1*((-224)\/108 - -2). What is the smallest value in -3, -4, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n + 384. Give p(-71).\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -127, 96, 791, 2222, 4653, 8348?\n\"Answer: 44*c**3 - 28*c**2 - c - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1580571*d**3 - 526848*d**3 - 526836*d**3 - 526882*d**3.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2. Let z(h) = -1. Let b be ((-13)\/((-78)\/(-36)))\/3. Let k(i) = i + 31. Let t(w) = b*k(w) - 18*z(w). Determine t(j(n)).\nAnswer: -2*n**2 - 44","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m - 1 + 1 + 65*m - 9*m + 29*m + (1 + 2 - 2 + (-6 + 3 + 1)*(4 + 0 - 5) + 0 - 1 - 1)*(-3 - 5 + 3)*(4*m - m + m).\nAnswer: 61*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 3*v + 2*v**2 + 2\/3*v**3 + 2 + 1\/12*v**4. Let m(c) be the first derivative of s(c). Suppose m(q) = 0. What is q?\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4001547 rounded to the nearest one thousand?\nAnswer: 4002000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 326661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/147? (a) 1\/7 (b) 0.04 (c) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6*z = 30. Suppose -2*t + 69 = 3*b, -3*t - 3*b + 75 + z = 0. Is t a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -996 + 1042. Let o = 3241897.29 - 3241943.2899894. Let t = o + c. Round t to six decimal places.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 4*h. Let g be x(-5). Suppose 0 = -3*o + 4*w + 50, -18 = -o - 0*o + 2*w. What is the remainder when 208\/5 - (-3)\/g is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1446 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/3)\/y)**42)**41 assuming y is positive.\nAnswer: y**(-1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 10. Let a(h) = -136*h - 38. What is -a(f) - 4*i(f)?\nAnswer: 140*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -15344 (base 7) to base 13\nAnswer: -1c55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/10)\/(1\/(-310)). Suppose -67*b = 2098 + 46. Let s = w + b. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 (base 10) in base 11?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the third derivative of -k**4\/4 - 4*k**3 - 4*k**2. Let n be m(-5). Let f be (68\/6)\/(n\/9). Calculate the highest common factor of f and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 5 - 885*u**2 + 437*u**2 - 8 + 446*u**2.\nAnswer: -2*u**2 - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22977 and 6489504?\nAnswer: 149258592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s**2 - s**2 + 13*s**2 - 9*s**2. Let b = 0 - -9. Let l(p) = b*p - p + p. Give l(t(k)).\nAnswer: -9*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 12:22 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 25072458 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -7*x - 2. Suppose 505 + 215 = 80*z. What is the remainder when f(-4) is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 4:27 AM?\nAnswer: 8:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 32*k**2 + 2*k. Let m(b) = -33*b**2 - b. Give -2*a(y) - 3*m(y).\nAnswer: 35*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 18267546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 16. Let s(n) = -4*n**4 - 3*n**2 + 3*n + 5. Let o(u) = -7*u**4 - 5*u**2 + 5*u + 9. Let c(l) = k*o(l) - 5*s(l). Differentiate c(q) wrt q.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from pwppbsbbbs.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1480 and 74?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 bigger than -516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 7*u - 449. Determine j(-15).\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q - 317. Let s(r) = -2*r + 1. Calculate -l(u) - 3*s(u).\nAnswer: u + 314","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 616?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010101101110001 + 10101110011?\nAnswer: -10010010111111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.1400038 and -1395942?\nAnswer: 1395941.8599962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 10*u - 38. Let h be b(11). Let d = -70 + h. Suppose -4*y = y + d*p - 120, -4*y + 2*p = -114. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (18\/(-27))\/((-2)\/(-6)). Let v(d) = -d**3 + 5*d**2 + 2*d + 2. Let l be v(5). Let w be (-4)\/l + 2\/(-3). Is g at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58 + -1899987.\nAnswer: -1899929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42332201, -42332198, -42332195?\nAnswer: -42332192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - 2*w + 8. Calculate the remainder when l(0) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -21.01 and -7.\nAnswer: -28.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -687*n = -662*n - 40475. What are the prime factors of n?\nAnswer: 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5260756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -332 + 339. List the prime factors of 3824\/l + (-4)\/14.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - -6 - -2 - -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 721.36372 to 0 decimal places.\nAnswer: 721","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a + 24. Let p(q) = -2*q. Calculate p(t(w)).\nAnswer: 6*w - 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -166012*u**2 + 18074 wrt u?\nAnswer: -332024*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 6*x**2 - 4*x - 3. Suppose -353*b - 323*b = -698*b - 44. What is w(b)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -51 - -45. Which is the closest to 0.1? (a) q (b) 2\/3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 - 107*g**2 - 614*g - 808. Calculate v(-101).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -335249.3409 to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(3600)*-3)\/sqrt(5).\nAnswer: 216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15792 + 15788 - m - 31580.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.5*-22.8.\nAnswer: -171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26944a (base 14) to base 3.\nAnswer: -2111122201212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1192335\/5141 or -233?\nAnswer: -1192335\/5141","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20)\/(-9) + (-14)\/63. Let f = 63 + -50. Let k = f - 10. Solve -2*l - k = -5*v, 3*l + b*v + 0*v = 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) -1\/3 (c) 2\/7 (d) -20 (e) -39.4 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/5 (b) 0.7 (c) 2 (d) 3\/7 (e) 5\/3 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 h when three letters picked without replacement from hahhhuuuwwu.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -a + 18, 0 = -4*a + 2*a - 5*h + 33. Suppose -5*d - 8 = -9*d. Calculate the least common multiple of a and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 10870)\/(-5)*2. Let q = -2266 + l. Suppose -4*a + q = 4*j - 2*j, -3*j - 3*a = -3135. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4844118509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-3))\/((-6)\/(-10 + 4)). Let f be 121*3*(-2)\/(-3). Suppose p*x - 2*y + f = 4*x, 3*x - y - 194 = 0. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -10 + 3 + (-5 + 6 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of 9*z**8\/28 + 119*z**6\/30 + 121*z**4\/4 - 2*z**3\/3 + 4826*z. What is the third derivative of p(g) wrt g?\nAnswer: 2160*g**3 + 2856*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2305 - -25406\/11. What is the common denominator of 3\/11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 41. What is the highest common divisor of p and 306?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -99966, -99960, -99972, -100008, -100074, -100176, -100320, -100512?\nAnswer: -100758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 891432842+-5\nAnswer: 891432837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 846423\nAnswer: -338569.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -50 + 38 + -19.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1575*x**3 - 184 wrt x.\nAnswer: 4725*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*u - 15601 = -64*u + 5413. Is u a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 16*p + 15*p = 113, 5*q = 3*p + 150. Let s = -3 - -6. Calculate the greatest common factor of s and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31751665093 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24*(5\/10 - 0). Suppose -s - a + 3*a = 2, 10 = -5*s - 5*a. Let r(m) = -66*m. Let y be r(s). What is the highest common divisor of y and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-27)\/(2673\/22) + (-4375)\/(-45). Solve l*w - 100*w + 5*z = -17, 5*z - 7 = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 = 8*a - 279. Does 26 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.42, 11, -1\/6, -233 in decreasing order.\nAnswer: 11, -1\/6, -0.42, -233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 688? (a) -2\/7 (b) -0.4 (c) 0.1 (d) 0.3 (e) -417 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -45600 rounded to the nearest 1000?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1530*r + 234 = -1517*r for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-194*f**2 - 534*f**4 + 393*f**2 - 199*f**2 - 872*f**4)*(4 + 0 - 2).\nAnswer: -2812*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(2\/9)\/w**15*(w*w\/((w**13\/w)\/w)*w)\/w*(w\/((w*w*w\/w**12)\/w))\/w assuming w is positive.\nAnswer: w**(-124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3*z**2 + 338688 - 1344*z = 0 for z.\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -93, -70, -17, 78, 227?\nAnswer: 442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 51*f**2 + 1. Let c be x(-1). Suppose -c - 38 = -5*q. Suppose -312*l + 10 = -307*l. Solve -4*t = l + q for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 32\/25 and -76\/15?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - n + 2. Calculate s(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1579 is divided by 26.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*m - 3886 = -42*m. Calculate the smallest common multiple of m and 19.\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5282771.4s in hours?\nAnswer: 1467.4365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 12 = k, 0 = 3*k + t - 2*t - 6. Let v be ((-6)\/9)\/(k\/(-27)). Suppose 3*r - v + 18 = 0. What is the biggest value in r, 4\/7, -0.3?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.34 - -0.24. What is the nearest to n in -5, 5, 2.8?\nAnswer: 2.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1410534 is divided by 564.\nAnswer: 534","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 (base 4) in base 10?\nAnswer: -26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*(a\/(a\/(a\/a**31)*a))\/a)\/(a*a**41\/a*a) assuming a is positive.\nAnswer: a**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/19)*(c**20*c)\/c)\/(c**(-8))**(-2\/55) assuming c is positive.\nAnswer: c**(20706\/1045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3296865 and 3445?\nAnswer: 3296865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6944\/93)\/((-4)\/(288\/6)*8).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 - 6*k**2 + 6*k - 1. Let v be l(5). Suppose 1252 = v*d - 0*d. Is 4\/18 - d\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 48 = -p. Let w be 3\/(p\/5972) - 3. Let j = -384 + w. Calculate the common denominator of -47\/14 and j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-3) - (-14)\/6. Suppose -2*u - y*u + 25 = 0. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 34*b - 113. Let o be 256\/(-48)*6\/(-8). Calculate the remainder when 114 is divided by h(o).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 923273578?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*d = 9*d + 70. Let a = d + -12. Suppose 4 = a*v - 0*v. Solve 0*u - v*u = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 - 3*a + 39. Let j be x(0). Calculate the highest common factor of 6 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72037897583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6556 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(352)*1*5 + sqrt(352))\/(-1*sqrt(72)))\/(1*(3*sqrt(4) - sqrt(4)) + sqrt(16)*-2).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.035 - 21.965. Let m = -22.000412 - k. What is m rounded to 5 decimal places?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 0.3 (b) 5 (c) -2 (d) -0.8522\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 1. Let n(p) = -6*p**2 - 6*p + 51. Let l(v) = 6*v**2 + 7*v - 61. Let c(u) = -5*l(u) - 6*n(u). Determine c(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of 3*p**6\/10 + 3*p**5\/4 - 5*p**4\/4 - 5*p**3\/2 + 3*p**2 + 40*p. Let w(d) = 0. Calculate d.\nAnswer: -2, -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 49 and 164548356?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a micrometer in nanometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3335\/(-58))\/(2\/(-36)). Suppose 6*q - 4749 + a = 0. Let z = -389 + q. What are the prime factors of z?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -689*c**3 - 1010*c**3 + 2682*c**3 - 675*c**3.\nAnswer: 308*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 107118101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.01 * -18655883.\nAnswer: -186558.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2048.532 years?\nAnswer: 20.48532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuoummmum. Give prob of picking 3 u.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 92 in 9, 1, -0.4, -2\/7, 1\/5?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12688466 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 4*k + 6. Let r be f(-4). Let h(s) = -s**2 - 9*s + 15. Let q be h(r). Suppose -3*w + q*u + 2864 = 0, -3*u = 2*u + 5. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 10*u**2 + 3*u - 3. Let m(n) = 48*n**2 + 14*n - 14. Let l(i) = -3*m(i) + 14*y(i). Let s(b) be the third derivative of b**4\/12 - b**2. Give l(s(q)).\nAnswer: -16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 223*g - 10680. Calculate r(48).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8698.24 nanograms to tonnes.\nAnswer: 0.00000000000869824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4*b = -32. Let l = 0 + b. Solve 4 = v + i + i, 5*i + l = 2*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 2*w + 3*w + 8 = 0, s - 4*w - 2 = 0. What is the common denominator of -2*(-1)\/((-8)\/(-33)) and 741\/108 - s\/8?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 100 - ((4 - -1) + -2). Let z = c + -3. Suppose -6*m + z = -74. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*s + 5*s, 2*z + 3*s = 17. Put z, -3, -2 in ascending order.\nAnswer: -3, -2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 + 31. Let l = 0.86 + 0.14. Let j = -1.3 + l. What is the closest to c in j, 3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*i**3 + 37*i**3 - 100*i**3 + 33*i**3 - 8993.\nAnswer: 2*i**3 - 8993","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 26. Let v = -55 - -33. Let z = 74 + v. What is the remainder when z is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**2. Let w(r) = -r**3 + 26*r**2 - r - 1. Let b(k) = -11*o(k) + 2*w(k). Suppose 100*u - 96*u = 4*c + 4, -3*c = u + 7. Calculate b(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - a + 157 = 953, 5*a + 796 = 4*p. Let c = -994\/5 + p. Let j(w) = w + 3. Let x be j(-3). Which is smaller: c or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -22\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -21922\/509 or -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8817 by 1019.\nAnswer: 8817\/1019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.0799905 - -7.08. What is t rounded to seven decimal places?\nAnswer: 0.0000095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -107.707388 and 3020?\nAnswer: 3127.707388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1805 is divided by 836?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 4*s**2 + 3*s**2 - 2 - 42*s**4 + 23*s**4 as i*s**3 + a + k*s + o*s**4 + v*s**2 and give o.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 20 = 0, -5*j = 6*f - f - 10. Suppose -f*u - 3*u = 0. Let x be (-42)\/(-20) + (-6 - -4). What is the closest to u in x, -0.3, 3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 5, -5, -82, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5951*t*v**4 - 15*t*v**3 + t*v**2 - 53*t*v + t + 4*v**4 - 2*v**3 + 737*v**2 - 64*v wrt v.\nAnswer: -142824*t*v - 90*t + 96*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 35, 64, 95, 128, 163, 200, 239?\n\"Answer: w**2 + 26*w + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -5*q**3\/6 - 31*q. Let x(j) = -4*j. Calculate l(x(a)).\nAnswer: 20*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 13 (c) -43 (d) 8\/61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -210709, -842833, -1896367, -3371305, -5267641, -7585369, -10324483?\nAnswer: -13484977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 1 - 1)*(-4 - 1 + 4) + (-4 + 5 - 3)*(-v + 3*v - v) + 0*v + 3*v - 5*v + (-2 + 6 - 2)*(-2*v + 11*v + 17*v).\nAnswer: 46*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of b**3 + 0*b + 2 + 1\/2*b**2. What is the second derivative of z(a) wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, l: 2, z: 2, o: 1}. What is prob of sequence ul?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from robfrobrrororrrrworw. What is prob of picking 2 b and 1 w?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*o + 101 + 196*o - 101.\nAnswer: 332*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/8 + 500011*x**2\/8 + 1000025*x\/8 + 500013\/8.\nAnswer: -(x - 500013)*(x + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 + 14*z + 2. Let o(w) = 3*w**2 + 13*w + 1. Let r(d) = 2*m(d) - 3*o(d). What is the tens digit of r(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 4363*c - 2*c**2 + 2 - 4363*c. Suppose -41 = -4*p + 5*u, 15 = -0*u - 3*u. Let m(y) = -2 - 5*y**2 + p*y**2 + 3. What is 3*m(g) - 2*x(g)?\nAnswer: g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 20770 divided by 13\nAnswer: 20770\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 2. Let v = 26 + -77\/3. Let u = -49 + 247\/5. Which is the closest to f? (a) u (b) v (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*m + 11 + 2, 16 = m - 2*h. Factor 2*s**2 + 6*s - 6*s**2 + m*s**2 - 5*s**2.\nAnswer: -3*s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -42 + 71. Suppose -3*o = -h + 11. Suppose 0 = -w + 2*i + 9, -3*w + o = -4*i - 11. Which is smaller: w or 0?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of q**4\/4 - 2*q**3 + 2*q**2. Let o be u(7). Suppose -h + 19 + 1 = 0. What is the greatest common factor of h and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1.23, -4\/5, -3, -4, -15, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 4196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25993*b**3 - 25804*b**3 + 51204*b**3.\nAnswer: -593*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -1. Let l = 6 - 1. Let v = 0.2 - -0.3. Which is the smallest value? (a) q (b) v (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20454441 and 214.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, 14, 122, 0.4, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h + 28. Let a be q(13). Suppose 2*w = -2*m - 4, -5*m - 22 = -3*w + 12. Suppose 2*j = -w*j - a. Let p(n) = n**2 + n - 1. Calculate p(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (114\/(-95))\/(4\/(-20190)) - -1. Suppose 4*q + 3*r = 5*r + p, 0 = q - 4*r - 1525. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8232155243 to the power of 1\/2, to the nearest integer?\nAnswer: 90731","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.08 and 85287.\nAnswer: 85286.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u**(-1\/28)*u*u**(-14)*u**10*u*u**36*u)**4 assuming u is positive.\nAnswer: u**(1035\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -59*d + 467. Calculate m(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2164)\/6)\/((16\/(-3))\/8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-1)\/(-38)*(-16)\/(-568)). Suppose p = 5*v - 186. Is v a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25850?\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -888, -3, 182, -143, 1 in ascending order.\nAnswer: -888, -143, -3, 1, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118*o = -112*o + 244*o - 56 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32? (a) 4 (b) -3 (c) 6 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/(-10) - -12)*1. Suppose -29 = -2*y + r, -4*y + v*r = 6*r - 68. Solve -2*t - 2 = a - 11, 4*a = -2*t + y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = -5*g + 67. Let i = g + -9. Let n be i\/114*(-45)\/(-60). Is n smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 31177 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(425) - (sqrt(425) + -1)**2) + -2.\nAnswer: -2132 + 75*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 20\/(-50) + (3696\/(-10))\/(-4).\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -3*b - 5*u + 327, -5*b + 4*u + 858 = 0. Let q = 5048 + -4990. Calculate the highest common divisor of q and b.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-6)*12\/(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*3*(-14)\/(-6). Let i = -1 - -1. Let m = i - a. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of -i**5\/10 + i**4\/6 + 2*i**3\/3 + 3*i - 25. Let j(q) be the first derivative of a(q). Factor j(z).\nAnswer: -2*z*(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(65)*-1 - sqrt(65)) + sqrt(65))\/((sqrt(60)\/sqrt(6))\/sqrt(2)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5283\/4 + -1320. What is the closest to -1 in b, -1\/2, 1\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 4*i**2 + 8*i**2)*(-4 + 2 + 1)*(0 - 2*i**2 + 0).\nAnswer: 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 2. Let d be (1 - s)\/((-4)\/(-22)). Let l = 18 - d. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - -2) + -5 - 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/4 (b) -188 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**3 + 78*u**2 - 252*u + 210. Calculate w(13).\nAnswer: -869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -5*n + 3. Let v(h) = 4*h**2 - 471*h - 466. Calculate the lowest common multiple of y(-4) and v(-1).\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(7\/(-10 + 3)). Let q(f) = 2*f**2 + 61*f + 119. Let v be q(d). Calculate the highest common factor of 445 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*n**3 + 48*n**2 - 797*n + 1 wrt n?\nAnswer: 228*n + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2080)\/(-6300) - 10\/225. Let x(h) be the first derivative of -4\/7*h**3 - 16\/7*h**2 + 10 + d*h**4 - 16\/7*h + 4\/35*h**5. Solve x(j) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53143999698 - -0.2\nAnswer: -53143999697.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 284 = j, g - 78 = -5*j + 2*j. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-12) + (-5)\/10 - 0.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of g**2 + 95*g - 96. Let w(n) = -n**2. Give w(t(u)).\nAnswer: -4*u**2 - 380*u - 9025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176 = 6*t + 5*t. Let u(r) = r + 18. What is the least common multiple of 15\/2 - (-1)\/(-2) and u(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 192*d**2 - 453*d**2 - 522*d**2 - 172*d**2 - 220*d**2 to the form n*d + v + r*d**2 and give r.\nAnswer: -1175","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + z**3)*((-26*z + 11*z - 7*z)*(0 + 0 - 2) - 4*z + 3*z + 0*z) as s*z**3 + v*z**2 + k + d*z**4 + r*z and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 619*m - 624*m - 338, -3*p - 4*m = -938. What is the remainder when p is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - 3. Let n(r) = r**2 + 21*r - 27. Let d be n(-22). Let l(b) = 2*b + 7. Calculate d*o(a) - 2*l(a).\nAnswer: a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-5 + 3 - -75). What is the highest common divisor of 584 and t?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 976 and 853752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3 - 368\/(-124))\/(14\/28). Which is the biggest value? (a) 2\/7 (b) -2\/9 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -4*o - 56, 3*n - 11 - 25 = 3*o. Let l be (4\/n)\/(1\/2). Let h be 2\/(-11) - (0 + 0). Which is smaller: l or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u - 1. Let b be x(3). Let f(d) = 0*d + d**2 + 7 - 9*d + 4. Let o be f(8). Solve 2*w = o*q - b*w - 20, 5*w = 5*q - 25 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*g - 36 - 14. Let 0*o - 1\/5*o**4 + 0*o**3 + 0*o**2 + 0 + 1\/5*o**g = 0. Calculate o.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*r + 122*r + 42 = -2*v + 72, 3*r + 9*v = 129 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1007419196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2057) + (sqrt(2057) - (-1*sqrt(2057)*-3 - sqrt(2057))) - 1*(sqrt(2057) - -2*sqrt(2057)))*-5)**2*5 + -3.\nAnswer: 2314122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/50)\/((-2)\/10*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 156\/11 + 16\/(-88). Suppose 151 = 3*t - s. Let b = -19 - -24. What is the greatest common factor of t and b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/6651 - 28076\/19953. Let m = 2\/7085 + -96362\/21255. What is the common denominator of t and m?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l + 2*l + 5*l**2 - 2*l. Let c(h) = -14*h**2 - 3*h + 32*h**2 + h - 14*h**2. Determine 3*a(u) - 4*c(u).\nAnswer: -u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5006 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - b**2 - 3*b + 1. Let r(v) = 86*v**3 - 3*v**2 - 8*v + 8. Give -r(q) + 3*z(q).\nAnswer: -83*q**3 - q - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, -4, -0.11, -2, 29, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of -3\/8*n**2 + 0*n - 33 - 1\/12*n**3. Factor v(p).\nAnswer: -p*(p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 70297, 5, -5?\nAnswer: 70297","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 3 = -3*g - 3*x, 4*g - 14 = -2*x. Solve 5*o = -m + 16, o + g*m + 15 - 3 = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-42) - (-15)\/189. Which is the closest to s? (a) 5 (b) -2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26717, -23453, -18015, -10403, -617?\nAnswer: 11343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4817.01394 rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 587, -3\/5, -90, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 103.56 and 0.4?\nAnswer: 41.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 745750 and 266?\nAnswer: 5220250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eepeeepe. Give prob of picking 1 e and 2 p.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/(-12) - 1550\/56. Which is smaller: d or -24?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vs when two letters picked without replacement from tstssssuvt?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -212\/231 + -32\/77. Which is the nearest to 1? (a) n (b) 2 (c) -4 (d) -0.032\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 122?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5859.\nAnswer: 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 21570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 + 45. Let m = 364 - 264. Calculate the highest common factor of m and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -446*j + 442*j - 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-1)*(19 - -4). Let h = -20 + r. Let l = -17 - h. Sort l, -2, -4 in descending order.\nAnswer: -2, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b + 7334 - 7397 = 0 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691283 is divided by 94.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13115281 is divided by 215?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 63197531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4876 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 9) to base 10.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4760163?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 - -3706b7?\nAnswer: 3706ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.922 take away 0.2964?\nAnswer: 0.6256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1037.3*0.06\nAnswer: 62.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 10:42 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssos when four letters picked without replacement from {o: 2, v: 1, y: 1, q: 1, s: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(324) + sqrt(324)*-2 - sqrt(324))\/(sqrt(108)*1).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, y: 7}. What is prob of picking 2 x?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*b + 3. Let m be (-3 + b)\/(-1) + -3. Put m, 1, -3 in descending order.\nAnswer: 1, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 480 and 4000.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7754 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 11\/4, -2 in increasing order.\nAnswer: -2, 1, 11\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/12)\/(107\/(-1070))*(-567)\/(-180).\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2581, -1149, 283, 1715?\n\"Answer: 1432*x - 4013","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:30 PM and 1:59 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 19*x + 37. Let r be z(17). Differentiate g - 11*g**r - 10 - 28 + 11 - 10*g**3 with respect to g.\nAnswer: -63*g**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5*(sqrt(6)\/sqrt(3))**2*6 + -5 - (-1*(-1*sqrt(18))**2 + -2)).\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 12:56 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98000350.\nAnswer: 2, 5, 7, 280001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -44*h + 47*h, 4*t - 3*h = -27 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 44 + (56 - -4) + (-2 - (6 + 2)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 1610 = -4*m, -3*h + 2144 = -7*h - 4*m. Let c be (-3 - (2 - 7749\/(-14)))*2. Let n = h - c. Is n 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 151620 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwqwqwww. What is prob of picking 1 w and 2 q?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 39*g**2 + 430*g + 259. Determine l(0).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(3*(-5)\/10470) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8621, 8619, 8617?\n\"Answer: -2*w + 8623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022204.\nAnswer: 2, 255551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.41339053 to two decimal places.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.044 - -2.056. Let f = j + -3.7. Let d = f + 0.6. What is the third biggest value in 5, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**2 - 4*h**4 - 23457*h - 4 + 2*h**4 + 2*h**3 + 23456*h to the form k*h + p*h**3 + z*h**2 + l*h**4 + s and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -8*d. Let y(p) = 25*p - 1. Let l(t) = 7*c(t) + 2*y(t). Differentiate l(m) wrt m.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -1. What is the common denominator of 37\/6 and 93\/24 + 0 + l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 145123148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41945691.\nAnswer: 3, 13981897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2*p = 12, -10*w - 4*p + 12 + 36 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fkzuzeh. What is prob of sequence uzfh?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(-8)*((u**(2\/5)\/u)\/u)**(1\/4))**18 assuming u is positive.\nAnswer: u**(-756\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 20641 + -20742 + (17 - 1)?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 160 + 0.137\nAnswer: 160.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 662122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 300*x + 118*x + 1109*x + 444*x - 3*x**2 + 1094*x to the form t*x + y*x**2 + m and give t.\nAnswer: 3065","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 11:09 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279 and 8131653.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + 0.3. Let l = 1722 - 1727. What is the closest to -2 in -0.5, m, l?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 36 = 28 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -43*w - 18. Calculate i(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 124\/(-8) + (1\/(-4))\/((-1)\/6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -m + 6. Let b(l) = l**2 + 5*l - 3. Is b(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(1331) - (2 + sqrt(1331) + 3 - sqrt(1331)) - (sqrt(176) + 2 + sqrt(176) + -2*sqrt(1331) + sqrt(1331)))**2.\nAnswer: -196*sqrt(11) + 2201","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, r: 8}. Give prob of picking 2 r.\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35992.\nAnswer: 2, 11, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*c - 305*c**2 + 163*c**2 + 143*c**2 + 1 to the form b*c**2 + q*c + f and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 12, 450\/7, 9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1276530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1043*p + 417. What is the smallest common multiple of 18 and w(3)?\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -7. Let q be d\/(-6)*-4*3. Find the first derivative of -q*v**3 + 3 + 1 - v**3 wrt v.\nAnswer: -9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i**2 + 93*i + 153. Calculate w(-29).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-4)\/((-96)\/(-132))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2312, -2\/3, 1\/4 in descending order.\nAnswer: 2312, 5, 1\/4, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -d + 8. What is the highest common divisor of d and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/64 and 22\/7199?\nAnswer: 460736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2408325?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 40 + -38. What is the highest common divisor of j and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 376226, 752533, 1128840, 1505147, 1881454, 2257761?\n\"Answer: 376307*z - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 8*h**2. Let y(s) = s. Suppose 5*n - 9*n = -12. Suppose 0 = 5*d + 2 + n. Let o(a) = -2*a**2 - 10*a. Let v(l) = d*o(l) - 10*y(l). Calculate v(b(i)).\nAnswer: 128*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 455837 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 7*w**2 + w - 4. Let a be f(5). Let g be (-4)\/(-20) + a\/(-5). Suppose 3*v - z - 10 = g, -v - 3*z = 0. Solve -c + 3*c + v = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1178\/9 (b) 1 (c) -39 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 2:51 AM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1618 is divided by 556.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -4*j - 2. Suppose -3*q = 2*u - 212, 4*u + 8*q = 4*q + 428. Let n = -111 + u. Give g(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2844730624 to the nearest integer?\nAnswer: 1417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011203 rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011111100110100000 (base 2) in base 15?\nAnswer: cda6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5062 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1350.91 less than -77858.744?\nAnswer: -76507.834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10.33 + 0.73. What is i rounded to 0 dps?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5396 a factor of 2042826287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v + 31*v - 12*v.\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 39 + 7*x**3 - 39 + (5*x**2 - 2*x**2 - 2*x**2)*(3 - 3 - x) + 2*x**3 + 3*x**2 - 3*x**2.\nAnswer: 8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58298\/19 + -3069. Let d = n - -172\/57. Let l = 23 - 20. Are l and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k - 13 = -14*k + 2*d, -15 = -4*k + 5*d. Solve -11*z = -12*z - k*c + 21, -2*z - c = 3 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*h = -h + 12, 0 = -a + h - 9 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 2446.961 micrometers?\nAnswer: 0.000002446961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(1200) - sqrt(1200)*2).\nAnswer: -sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of k**2*l*s**2 + 14*k**2*l - 651192728*k**2*s**2 + 4*k**2 + k*l*s + 31*k*s - l*s - 27*l + s wrt s.\nAnswer: 2*k**2*l - 1302385456*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -l + 23, -2*l + 1 - 7 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127411, 254973, 382569, 510217, 637935, 765741?\nAnswer: 893653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -245372, -245378, -245394, -245426, -245480, -245562, -245678?\nAnswer: -245834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 338 + 45*g**2 + 44*g + 55*g**3 - 54*g**3 - 329. What is the remainder when (12*2 - -2)\/1 is divided by y(-44)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -12\/11, 0.2, 0.4, -4, 2752?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b\/(b**(-2)\/b))\/b)))**45\/(b**(-1\/4)*b**4*b) assuming b is positive.\nAnswer: b**(521\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/98)\/(157\/1099). Let p = 37.42 - 37. Let i = p + 0.08. Which is the third smallest value? (a) 0.2 (b) i (c) -2\/5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 111cb3 (base 16) to base 13\nAnswer: 3035b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(3)*1 + 1 + sqrt(75) + 3 + ((sqrt(72) - sqrt(72)*-2)\/sqrt(2))\/(sqrt(48)*3).\nAnswer: 6 + 13*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l**3 + 13*l**2 - 2*l. Determine o(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -8*i - 12. Let k(a) = -4*a - 6. Let p(y) = 2*c(y) - 5*k(y). Let b be p(-4). Let l(h) = -h**2 - 10*h + 2. Determine l(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 52571 - 52592, -6*z - 39 = -3*r for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w**3 - 3*w**2 - 2*w - 6. Let y(u) be the second derivative of u**5\/5 - u**4\/6 - u**3\/3 - 5*u**2\/2 + 20*u + 14. Give -2*q(d) + 3*y(d).\nAnswer: 4*d**3 - 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2291 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert a44 (base 11) to base 6.\nAnswer: 5454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1620707*f**6 - 1356372*f**2 wrt f.\nAnswer: -194484840*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65.8 - 66. Let s = 8880\/13 - 683. What is the third biggest value in s, -2\/25, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 155*b**3 - 66*b**3 - 13*b**2 - 41 - 5*b - 88*b**3 - 6*b. What is y(14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1457752108, 1457752110, 1457752112, 1457752114, 1457752116, 1457752118?\n\"Answer: 2*m + 1457752106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 3 d when four letters picked without replacement from lcdlgzldccudclg?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -170*k**2 + 15*k + 4. Let q(v) = 341*v**2 - 29*v - 9. Give 5*g(l) + 2*q(l).\nAnswer: -168*l**2 + 17*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -3084 smaller than -19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + b**2 + 3*b + 3. What are the prime factors of c(-3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 205042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -313 (base 6) in base 9?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -2*h**3 - 2*h**2 - h + 3. Let q be (-3)\/(9\/6) - 1. Let r(a) = -2*a**3 - 2*a**2 - a + 4. Calculate q*r(x) + 4*y(x).\nAnswer: -2*x**3 - 2*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*x + 2575 - 31*x + 17261 + 50*x to f*x + b and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-175))\/((-3)\/(-185))\nAnswer: 74\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7544592 - -4?\nAnswer: -754458c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 55, -33 in decreasing order.\nAnswer: 55, -5, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 391328 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*b - 3*g + 84 = 0, 5*g + 108 = b. Let c = -48 + b. Does 15 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.5? (a) -0.01 (b) -31 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 2) + 1 + -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/3)*i*i)**12*(i**6\/i)\/(i*i\/i**(-5)*i)*((((i**(-2\/5)\/i)\/i)\/i)\/i)**(-8\/9)*(i\/((i**(-5)*i)\/i))\/i**(-1\/8) assuming i is positive.\nAnswer: i**(12613\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-147 + 1258 + 880)*(0*b**2 - 2*b**3 + 0*b**2)*((-4 - 3 + 3)*(3 - 1 + 0) + 0 + 2 - 1).\nAnswer: 27874*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 30871 times -1\nAnswer: -30871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.080321 and -0.2.\nAnswer: -0.6160642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -13.89 (b) 50 (c) 0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + (-5)\/10)\/(3\/2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 94*r - 95*r - 6 - 1 in the form k + l*r and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d - -17a?\nAnswer: 14d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, s: 1, h: 1, g: 2, m: 1, k: 1}. Give prob of sequence mg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -10*f + 9*f. Solve -b - 9 = f*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4737 and 38544659?\nAnswer: 38549396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + 0 + (28 - 32).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*c - 0*c + 5, -10 = c + 4*a. Suppose -2*y - r - 14 = -5*r, -3*y = -c*r + 1. Factor 3*z**3 - y*z**2 + 12*z + z**2 + 14*z**2.\nAnswer: 3*z*(z + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 7. Let y be i(7). Suppose 8 + 23 = -7*x + 3. Let p be ((9 - y)\/3 - x) + 2. Solve 25 = -p*u + 4*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1115*d - 112. Let m(t) = -4*t. Give q(m(w)).\nAnswer: 4460*w - 112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -3202?\nAnswer: -5\/1601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 8*m**2 + 7*m + 5. Let a be o(-7). Sort a, 0, 4 in decreasing order.\nAnswer: a, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -27 + 27 + 6*g. Let w(i) = i. Let a(d) = 6*w(d) - 2*x(d). Let c(r) be the third derivative of -r**4\/3 - 444*r**2. Calculate a(c(b)).\nAnswer: 48*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(125) - -1*(1 + sqrt(125)))**2.\nAnswer: 20*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - 104. Let k(w) = -w**2 + 5*w + 14. Calculate k(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1615505 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -9)*5\/(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 + 7)\/(-9 + (-475)\/(-50))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqs. Give prob of sequence qq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -5, -8, -7, 1 in decreasing order.\nAnswer: 40, 1, -5, -7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -20132*j + 40263. Determine c(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 49 = 2*w. Let r(u) = 4*u**2 - 5*u + 5. Let v be r(w). Suppose 5*m + 31 - v = 0. What is the remainder when 79 is divided by m?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3*o + 3800 = 4*o, 5*p = -2*o + 4747. List the prime factors of p.\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57731.\nAnswer: 57731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 14 - 54. Suppose t*w - 18795 = 8065. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-32)*(72\/(-81))\/(-2)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a century in months?\nAnswer: 1400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1367.37 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/sqrt(108) + sqrt(2430)*-6)\/(-5*(1*sqrt(490) + (sqrt(1210)*2 + sqrt(1210) + sqrt(1210) - sqrt(10)))).\nAnswer: 323*sqrt(3)\/1500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/(-60) + 9\/(-36). Let j = 10 + 4. Let m = 17 - j. Which is the closest to f? (a) 0.5 (b) m (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/11 + 7\/(462\/846).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5 = -4*g + 5*b, -5*g - 5*b + 50 = 0. Let p be (-3 + 18\/g)*5. Is ((-7)\/p)\/((-4)\/12) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 835507.\nAnswer: 257, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*i = -79*i + 320. Let c(g) = -g**2 - 16*g + 20. Determine c(i).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 6 + 2)*(o**4 - o**4 - 3*o**5) + 20 + 3 - 24 + 1 - 2568*o**5.\nAnswer: -2553*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 14*i - 3. Let d(q) = -12*q + 3. Let y(w) = 6*d(w) + 5*t(w). Determine y(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 5 (b) -495 (c) -0.05 (d) 12 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 185521.6 millimeters in kilometers?\nAnswer: 0.1855216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 54 = -2*q, 0 = -q + 3*q. What is the remainder when n is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7761*c - 22571*c + 938875 - 779166 + 1247241 = 0 for c.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -32. Suppose -4 = 2*m - 3*i, 3*i + 2 = m - 2*m. Suppose -k = -5 + 2. Sort a, k, m.\nAnswer: a, m, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 13*b - 95. Determine u(15).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03 times -67.67?\nAnswer: -2.0301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(2\/19 + 0). Let m be -12*3\/(-3) + 17 + n. Solve 15 = 5*h + m for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhrhhir. What is prob of picking 2 h, 1 r, and 1 i?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (-11 + 11 + -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 20.9 + -21. Let a(c) = c + 1. Let x = -1 + -3. Let n be a(x). Put n, i, -2\/7 in increasing order.\nAnswer: n, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5*((-572)\/55 + 12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) -3 (c) -14 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6314, -51619, -174598, -414089, -808930, -1397959, -2220014?\n\"Answer: -6473*v**3 + v**2 + 3*v + 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 40*v + 44*v - 86*v. Let q(u) be the first derivative of 95*u**2\/2 - 3. Let p(a) = -8*a. Let m(y) = -35*p(y) - 3*q(y). Give g(m(l)).\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 4, a: 1, v: 5, k: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14\/18 + -1 - 10464\/(-432) is divided by 12.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 461, 429, 383, 317, 225, 101, -61, -267?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 1\/4 (c) -380071\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/17, -2\/9, 0.3, 58431?\nAnswer: 58431","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -803 + 801. Which is the smallest value? (a) -1\/10 (b) j (c) 27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -43*w**2 - w - 1. Let g be l(-1). Let y = g - -61. Let z = y - 14. Solve m = -m + z for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2170 - 2164. Suppose 40 = 4*y - 4*g, y - 7 = -2*g + 6*g. Solve -y*b + 10 = -o*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*u - q + 8, 4 = -3*u + q. Suppose u*t - 5*t + 13 = 4*r, r = -4*t + 6. Let s = 1 - t. Is -1\/6 greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxv when three letters picked without replacement from {x: 2, v: 16}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-34)\/(-3) + 16\/(-48). Suppose -r + b = i, -r = r - 4*b + 32. Let y(x) = -5*x + 4. Let a(p) = -p + 1. Give r*a(h) + y(h).\nAnswer: h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bpxvpaazbxpa. What is prob of picking 1 v, 1 p, and 1 z?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3857 - -443552\/115. Let p = -11149\/230 + t. Let q = 48 + p. What is the closest to q in 0.2, 29, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15308 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: Which is the smallest value? (a) -0.196 (b) 130 (c) 1\/4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1101 + -11?\nAnswer: 1030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -563 (base 10) to base 16.\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*27\/(-162)*9?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -377\/56 - -55\/8. Which is the closest to 1? (a) 4\/11 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*q = 145*q + 1040. Let y = -82 - -179. What is the remainder when y is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49480030.\nAnswer: 2, 5, 17, 31, 41, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 14921615 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 + 12*a - 18. Suppose 35 = 5*u - w + 6*w, 29 = 2*u - 3*w. Let q be o(u). Suppose -3*l - 5 = -2*l, -i = q*l + 10. Solve i = -r + 6*r - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 4 - 1)*(0*x**2 - 11*x**2 - 5*x**2) to the form m + w*x + r*x**2 and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -716*b**2 - 724*b**2 + 1433*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-6) - 19\/(-15). Suppose -1487*v - 6 = -1486*v + 2*k, 2*k = -3*v - 18. What is the biggest value in v, -4, -5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*q + 2*q + 40. Suppose -5*v - 15 = -2*h + q, -3*h + 3*v + 21 = 0. Is h\/(-6) + 113\/3 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 1. Suppose -5*t - 1340 = -5*n, n + 2*t = -f*n + 283. Calculate the greatest common divisor of n and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence to when two letters picked without replacement from dooooootooooto?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**5\/20 + 7*h**4\/12 - 3*h**3\/2 - 3*h**2\/2 + 472*h. Let l be 1 + 3 + (-36)\/(5 - 2). Give u(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1113511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.920253 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -53 + 95 + 6 + (-5 - -3) + -8.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6.133 - -1.133. Which is the closest to -5? (a) q (b) -2\/15 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igiilzggifih. What is prob of sequence zh?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 595\/175 + (-6)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3123200 + 2211302?\nAnswer: -311232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -26*p**2 - 3*p + 16. Let h be s(3). Let y = h + 484. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.7 times -8?\nAnswer: -29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**2 - 2*q - 2. Let x = -57 - 167. Let m = -226 - x. Give o(m).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*r**4 + 2288*r**3 + 324888*r**2 - 656656*r + 329476.\nAnswer: 4*(r - 1)**2*(r + 287)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1007*q + 30*q = 43*q + 1988. Factor 18\/5*r + 24\/5*r**q + 0 + 6\/5*r**3.\nAnswer: 6*r*(r + 1)*(r + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 6 - 6. What is the tens digit of 2\/i - (-170)\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127544636 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(176) + 1*sqrt(176)*1)\/(-2*sqrt(144)).\nAnswer: -sqrt(11)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -5*p + 15915, p - x = -1028 + 4211. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 108376847 to the power of 1\/2, to the nearest integer?\nAnswer: 10410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37 + -31 + (-20)\/6)*(-27)\/6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -54 + g**4 - 3313*g**3 + g + 0*g**4 + 3312*g**3 as h*g**4 + a*g**2 + t*g + y + r*g**3 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*d + 47*d + 63 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45484 and 2886864?\nAnswer: 548","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 902484648 divided by 12\nAnswer: 75207054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 371949312 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132269030.\nAnswer: 2, 5, 13226903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00173476 to 5 decimal places.\nAnswer: 0.00173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 8*c - 9. Let q(a) = -2*a**2 - 16*a - 19. Let h(x) = 13*n(x) - 6*q(x). Let v be h(-7). Solve -v*f = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -113759.3555 to zero decimal places.\nAnswer: -113759","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 r when three letters picked without replacement from {e: 9, z: 3, r: 3, g: 2, v: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-474)\/395)\/((-6)\/10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*7\/(-21)*4\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -149.55 + -6.65. Let d = -170 - v. Round d to the nearest integer.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66203 is divided by 32114?\nAnswer: 1975","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(-4) + 6\/2. Let x = 6 - m. Suppose -x = -3*h + 6. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1443 + 1411.41. What is k rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2385169, -2385168, -2385167?\n\"Answer: x - 2385170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 0\/2 + 22. Let v be (11 - 1)*(-1 - 58\/(-10)). Suppose -46*g - 352 = -v*g. What is the highest common divisor of r and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-3\/7)*v)\/(v**(1\/2)*v*v))\/(v**0)**(12\/5))**(-6) assuming v is positive.\nAnswer: v**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-6) - 13\/(-3). Let h be 2\/27*3 + (-57)\/(10260\/(-680)). Solve 4*i - 2*a = -4, g*i = a - 3*a + h for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -2*d**5\/5 + 5*d**3\/6 - 2*d. Find the second derivative of y(r) wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742977429 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 4*g - 16 = 0, 5*z + 32 = -2*g + 3*g. Let f = -4 - z. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -29 + -6 + -5 + 20. What is the closest to w in 0.1, -2\/15, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6456 and 336.5.\nAnswer: 6792.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 447 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: Suppose -11*n = 3*n - 42. Suppose 11*y - 6*y + 3*m - 34 = 0, 4*m = n*y - 32. Are y and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1349036, -1348970, -1348834, -1348592, -1348208, -1347646, -1346870?\n\"Answer: 6*z**3 - z**2 + 27*z - 1349068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 179*t**2 + 36567*t + 10406. Calculate p(-204).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 487 + -330. Let m = y + 46. Let a = 202.881 - m. Round a to two dps.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1348, 2430, 3512, 4594, 5676?\nAnswer: 6758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 8*b - 7. Let p be x(9). Suppose -p*r = -2*v - 24, -5*r + 3*v + v + 55 = 0. Solve 2*n + r = -2*u + 15, 20 = 5*u + 4*n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*t - 47*t - 4*m - 4 = 0, -2 = 2*t - 5*m. Solve t*g - 15 = -5*l + 9*g, 0 = -5*l - 2*g - 34 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 7) to base 12.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 25 + 4*c**3 - 3*c**3.\nAnswer: c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -468430230*n. Let h(t) = -3*t**2. Determine d(h(w)).\nAnswer: 1405290690*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -60, -196, -460, -894, -1540, -2440, -3636?\nAnswer: -5170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2088 - 110*p**3 - p**2 - 25*p**3 + 4180 - 2090 as f*p**3 + m*p**2 + a + y*p and give f.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 52 or 0.29?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 82*c - 1809. Calculate the remainder when q(82) is divided by 149.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 2*f - b, -3*f = 9*b - 225 + 135 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-80)\/(-160)*8\/2. Which is the closest to 2\/11? (a) 16 (b) h (c) 0.3 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2024904 and 1012452?\nAnswer: 2024904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 + 2*s**2 + s. Let g(q) = -12*q**3 - 12*q**2 - 5*q + 2. Give g(y) + 5*u(y).\nAnswer: -7*y**3 - 2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q - 7. Let o be a(0). Let k(g) = -g - 3. Suppose -p = -3*f + 2 + 12, -4*p - 24 = -4*f. Let r be k(f). Are o and r nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 - 63. Let c be p*((-3)\/(-9))\/((-3)\/6). What is the units digit of (c\/6)\/((-2)\/171)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + -3651421?\nAnswer: -3651423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 5, 0.02, 223, 3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-61 - -80) + 49 - 10.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93*s - s**3 + 0*s**3 + 2*s**3 + 82*s.\nAnswer: s**3 - 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -942*-44782.\nAnswer: 42184644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(1*(-1)\/1)*126\/210?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 - f**2 - 8*f + 64. Calculate x(4).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 44\/28)\/(1\/(-7)). Let p be (4\/(-12))\/((-1)\/21). Let o(s) = s + 5. Let z(v) = -2*v - 9. What is p*o(g) + w*z(g)?\nAnswer: -g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 5:44 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 112000?\nAnswer: 112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*t - 6696*t**3 + 19974*t**3 - 6654*t**3 - 6667*t**3.\nAnswer: -43*t**3 - 9*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 2*v + 10. Let k = -27.2899 + 0.6199. Let d = -0.33 + k. What is the second smallest value in d, 4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103 by -861.\nAnswer: 103\/861","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h + 1. Let u(y) = -y**3 + 6*y**2 - 7*y. Let i be u(3). Let j(l) = -7*l + 5. Calculate i*s(p) - j(p).\nAnswer: p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.2 (b) 2 (c) 23 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 334 = 5*s, -39 = 5*s - 5*w - 349. List the prime factors of s.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3556, 3501, 3446?\n\"Answer: -55*y + 3611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) 3\/7 (c) 2 (d) 0.4 (e) -2311\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes after 3:53 AM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, s: 2, k: 14, w: 2}. Give prob of picking 1 p and 1 w.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/(60\/8))\/(-5*(-9)\/(-15)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**3 + 3*w**3 - w**3 + (7766*w - w**2 - 7766*w + 50)*(-28*w + 42*w + 118*w) to the form b*w**3 + m*w**2 + z*w + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hdbd when four letters picked without replacement from {b: 3, h: 1, d: 4, c: 3}?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1380, 1187, 644, -429, -2212, -4885?\n\"Answer: -30*p**3 + 5*p**2 + 2*p + 1403","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7733447 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/6)\/(4 - 37\/9). Suppose -2*n = 2*f + f - 18, -f + 3*n = 5. Let y be 2\/(3*(-3)\/18). Sort y, l, f in descending order.\nAnswer: f, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4 + sqrt(2) + -4).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 423 + 6*p**3 - 423.\nAnswer: 6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*o = -1134 + 510 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 minutes before 7:04 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 270 - 142. What is the hundreds digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 4*t = -38 - 894, 5*a - 1168 = -4*t. Let m = a + -238. Suppose -25 = -0*s - 5*s. Put s, -1, m in descending order.\nAnswer: s, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:28 AM and 12:19 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 9042208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0232 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*w**4 + 0*w**4 + 4*w**4 - w**4 + 2*w**4 - 4*w**4 + (-3*w**4 - 2*w**4 + 4*w**4)*(4 - 5 + 2) + w**2 - w**2 + 2*w**4.\nAnswer: -4*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 1 + 4\/7*c**2 - 2\/21*c**3 - 8\/7*c. Factor d(k).\nAnswer: -2*(k - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 27764\/5*p**3 - 11108\/5*p + 2*p**4 + 0 - 16666\/5*p**2 = 0.\nAnswer: -2777, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1013*u + 2193*u - 1015*u.\nAnswer: 165*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -11. Which is the second biggest value? (a) -3\/2 (b) 0.03 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 280019 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*r + 2*z = -89, r + 287 = 5*z + 304 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.6 - -10.742. Let d = -2.858 - k. Is -0.037 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 448 = 5*d. Calculate the greatest common divisor of 160 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 2 + 2)*(-82 - 501 - 81).\nAnswer: -1328*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75 = 4*l + 55, 11 = 4*f + 3*l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 x when three letters picked without replacement from xxaxxxoaoaxaxxzx?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 + 9*w + 26. Let u = -19 + 30. Let j be a(u). Solve -n - j = -0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1618319.\nAnswer: 1618319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -365.88 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 + 65*z**2 + 21*z - 377. What are the prime factors of t(30)?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 - -6. Suppose r - 91 = -5*m, 5*m - 48 - 45 = -3*r. Let d be ((-2)\/t)\/(2\/m). Solve -d + 9 = 2*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*c - 25*c = -220. What is the highest common factor of c and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_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: Suppose 2 + 58 = -5*f. Let x be (-1 - (-39)\/f)*4. Let d = -12 - x. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 395703000 to the nearest 1000000.\nAnswer: 396000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*r - 2)*(-3*r**3 - 11*r**3 + 11*r**3 + 2*r**3 + 0*r**3 - 3*r**3 + 0*r**2 + r**3 + 0*r**2 + (r**2 + 2 - 2)*(-2 + 2 - 2*r)).\nAnswer: 10*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14942 - -14965. Is -1.31 at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w - 462 = -13*w. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**3 + 9*h**2 + 3*h - 10. Let f(c) = 4*c**3 - 8*c**2 - 3*c + 9. Let q(i) = 6*f(i) + 5*l(i). Calculate q(-3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-10)*o*o\/(o*o\/(o\/((o**(2\/9)*o)\/o)))*(o\/(o\/o**(2\/7)))\/o*o**(3\/4) assuming o is positive.\nAnswer: o**(-2063\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-24)*-18*-24. Let s = q - -76. Calculate the remainder when s\/((-4)\/30*-5) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of 25*l**4\/12 - l**2\/2 + l. List the prime factors of s(1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101000 - 11?\nAnswer: -1011101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 821.3 + -823.4568. What is z rounded to one decimal place?\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5826.353 decades?\nAnswer: 58.26353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 18ae8?\nAnswer: 18ae3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -985*l + 3210*l - 945*l - 1044*l - l**3.\nAnswer: -l**3 + 236*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -31501*n**3*v**3 + 2*n**3 + 27536*v**3 with respect to n.\nAnswer: -94503*n**2*v**3 + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 8*i**2 - i. Let r(m) = 11*m**2. Let l(h) = 2*q(h) - 3*r(h). Let o(s) = s. What is l(o(k))?\nAnswer: -17*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(143) - sqrt(143))\/sqrt(11))**2 - (-1 + sqrt(39)\/sqrt(3)))*-3.\nAnswer: -42 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0095751 - -30858?\nAnswer: 30857.9904249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p = -34 + 74 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -146*v**6 - 25*v**3\/3 + 5*v + 4322. What is the third derivative of k(h) wrt h?\nAnswer: -52560*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-38 - (-9312)\/240) + 2\/(-2))*(-620)\/12.\nAnswer: 31\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20096?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -b + 3*i, 7*i = -3*b + 5*i - 6. Let q be b\/7 + 30*48\/140. Solve 6 = -4*c - q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237422200.\nAnswer: 2, 5, 1187111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 1:18 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6200249?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -75 - -79. Let l(b) = -3*b**2 + b + 6*b**2 - 1 + 2*b**2 - v*b**2. Let p be (-1)\/((-4)\/8*-1). Determine l(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 15) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, b: 5, a: 1}. Give prob of picking 1 x and 1 b.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 8*c**2 + 2*c - 12. Suppose 1 = -v + 9. Let h be d(v). Suppose m = 3 + 25. Solve -h*k + 8 - m = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -8047188076.1\nAnswer: 8047188076.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 162831 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -153*r**3 - 2*r**2 - 98113*r - 139728249.\nAnswer: -459*r**2 - 4*r - 98113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 396157?\nAnswer: 792314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (18 - 658\/70)\/((-4)\/20*-1)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*s, 5*s + 40 = -5*a + 55. Put -20, -30, a in decreasing order.\nAnswer: a, -20, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-9\/4)*x*x\/x**(5\/9) assuming x is positive.\nAnswer: x**(-29\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14409 and 1863?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 7 - 17 = 0. Let k be -2*u\/4*(-17 + 16). What is the common denominator of (-931)\/(-34) + k\/(68\/(-8)) and -7\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t + 0*t**3 - 1\/24*t**4 - 24*t**2 + 0 + 1\/60*t**5. Let i(k) = 6*k**2 - k. Determine i(d) - l(d).\nAnswer: 5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -68\/155343 and -157\/15844986.\nAnswer: 15844986","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -12.4. Let r = m - 1.4. Which is smaller: r or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nlyvvvlvlwlyvlvv. What is prob of sequence vly?\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 44, 2, -263 in descending order.\nAnswer: 44, 5, 2, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5 = 11, -5*n = 3*v - 47. Is 2 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggvgvvv. What is prob of sequence gvgv?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*o + 5*s, 3*o - 90*s + 94*s + 24 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 26\/2*(2 + -1). Let u = 12 - 7. Suppose -5*z + 132 - 857 = -u*s, -2*s = 5*z - 276. What is the highest common factor of j and s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*h - 11 - 1 = 42*h. Solve 23 = -7*n + h for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131039?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9457*o + 9515*o - 2552 = 0. What is the highest common factor of 50 and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*j + 13. Let m be (-19)\/(-2) + j\/6. Calculate the highest common factor of m and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*r**2 + 2*r**2 + r**2 + (-r + 1 - 1)*(0 + 1 - 4)*(2*r - 4*r + 3*r) as j*r**2 + n + g*r and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 746*r - 58977 = 192*r - 183*r + 22830 for r.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 1:55 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b**2 - 7*b - 10. Let f be u(-9). Suppose 4*w = 76 + f. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1441 divided by -30.\nAnswer: -1441\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -1868*x + 5600. Give d(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/((-2)\/6*-1). Let z(h) be the third derivative of -7\/6*h**k - 1\/24*h**4 + 0*h + 0 - 2*h**2. What is z(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 3*k**2 + 5*k + 6. Let h be i(-4). Sort -5, 6, 3, h in descending order.\nAnswer: 6, 3, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y**3 - 21*y**2 - 8*y + 97. Let q be f(-5). Let v(o) = -15*o - 21. Let u(m) = 7*m + 10. Determine q*u(n) - 6*v(n).\nAnswer: -n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 5*j + 1. Let h be m(1). Let l(x) = x**2 - 5*x + 3. What is the units digit of l(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/426735224 and 59\/8051608.\nAnswer: 426735224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1846 and 3479.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14\/12*4737\/552650\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (168 - (-23 + 107 + -36)) + -8 + 1?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -213, -423, -621, -807, -981, -1143, -1293?\n\"Answer: 6*o**2 - 228*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -51*z - 155. Is 14 a factor of w(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**3\/7 - 2840*n**2\/7 - 42178*n\/7 - 5620 = 0.\nAnswer: -1405, -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 = 8*z - 9*z. Suppose -26 - z = -4*w. Suppose 3*a - n - w = 0, 2*a = -5*n - 6 + 1. Solve a*r + 0*g + 11 = -2*g, 5*g - 4 = -2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 38, 4 in increasing order.\nAnswer: -22, 4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 7. Let m = 158 + -151. Suppose 22 - m = d*l. Solve 0 = 4*r - 1 + l for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6.675 + 6.175. Which is the second smallest value? (a) -0.08 (b) -0.2 (c) j (d) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*p = -285*p + 835. Put 2, p, 6\/7, 1\/2, -1\/2 in increasing order.\nAnswer: -1\/2, 1\/2, 6\/7, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 155, 322, 481, 626, 751, 850?\n\"Answer: -f**3 + 2*f**2 + 168*f - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*p + 11*p + t - 85, -5*p - 2*t + 214 = 0. Calculate the common denominator of 35\/6 and -1*(3 - p\/7).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.0442, -11, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5119\/10 + 512. Let p = -0.6 - -0.1. Put m, 1, -3\/2, p in descending order.\nAnswer: 1, m, p, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/((-190)\/(-80)) + -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2274)\/1516*(-19 + 1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29 from -15.511.\nAnswer: 13.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 5, 48, 123, 236, 393, 600?\n\"Answer: y**3 + 10*y**2 + 6*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34)\/136 + (-3)\/4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38.674 or 63?\nAnswer: -38.674","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2850\/418*(-110)\/(-25)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a millennium in years?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jrjrmcx. What is prob of picking 1 r, 1 x, and 1 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 205360 divided by 34\nAnswer: 6040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 19*b**2 + 22*b - 24. Let i be c(20). Suppose g + 5*k = -i, -2*g + k = -g - 8. Calculate the highest common factor of 36 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 13*h + 16. Let f be r(-11). Let b = f - 34. Solve 2*p - 4*s = 0, -1 = p - b*p + 5*s for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * 1.8455988\nAnswer: 1.29191916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 66007.69 milligrams in nanograms?\nAnswer: 66007690000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of 0 + 2*s + 0*s**4 - 1\/20*s**5 + 0*s**2 + 7\/6*s**3. What is the second derivative of x(a) wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37399*m + 37391*m - 112180*m + 37391*m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p + 8*p = 7701. Suppose 4*a - 215 = p. List the prime factors of a.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 2 = 2*y. Let d be (-1 - y)\/2 + 3. Solve 3*i - 5 = -d for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 + 11*k - 17. Let x be g(-12). Let r(b) = 3*b. Let a(l) = 1 - 1 + 7*l + 1. Give x*r(q) + 2*a(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/19? (a) -0.4 (b) 2\/7 (c) 16.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4876 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4708 by 1177.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 6. Let b(i) = -1. Suppose 9 = -7*y - 19. Calculate y*b(d) + u(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 296*b - 232*b + 128 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3)*t)**(17\/3)*(t\/((t*(t\/(t**(-2)\/t*t))\/t)\/t))\/((t**(1\/4)*t)\/t) assuming t is positive.\nAnswer: t**(227\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 4*n. Suppose m - 1 = n, 5*h + 4*m - 3 = 11. Suppose 6\/5*l**4 + 0 + 2*l**5 + 0*l**h + 0*l - 4\/5*l**3 = 0. What is l?\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6795163?\nAnswer: 6795163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 + -0.8. Let p = -2 - n. Let g be ((-4)\/(-5))\/(3 - (-26)\/(-10)). What is the biggest value in p, 5, g?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f*f*f**(-25)*f)))\/(f*(((f**12\/f)\/f*f)\/f)\/f))\/(f\/(f\/f**(-5\/6))*(f**(3\/8)\/f)\/f) assuming f is positive.\nAnswer: f**(-709\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3\/5 (b) -0.4 (c) 7 (d) 2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -270*p = -236*p - 4994294. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5642, 3606, 1570, -466, -2502?\nAnswer: -4538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2148 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 64122 (base 7) in base 15?\nAnswer: 4a63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, -67, -135, -211, -283, -339?\n\"Answer: 2*h**3 - 22*h**2 + 4*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3239.6 + 3243. Which is the biggest value? (a) l (b) -3 (c) -5 (d) -0.2 (e) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123330 + 312213?\nAnswer: 122223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4098 is divided by 892?\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 565 - 567. Put j, -6, -5, 5 in descending order.\nAnswer: 5, j, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -168603.8782 to the nearest 100.\nAnswer: -168600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.165 + -0.835. Which is the biggest value? (a) -7 (b) k (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -153 + 152. Let c be (-21)\/6*(t + (-225)\/35). What is the greatest common factor of c and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7208.\nAnswer: 2, 17, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2220180929 to the nearest integer?\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 222891.61 rounded to the nearest 1000?\nAnswer: 223000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -0.9. Suppose -596*g = -592*g - 12. Let d be g\/(-1*18\/5 + 3). Which is the smallest value? (a) 0.4 (b) d (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 0 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + c + 12. Let f = -1 + 1. What are the prime factors of t(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.39 * -0.09735.\nAnswer: 0.0379665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -36\/6083 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 588859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/4)\/z*z)\/(z**(-6\/17)*z))**(-6\/29) assuming z is positive.\nAnswer: z**(81\/986)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15372.\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 - 29 = -9*g. Suppose -g*l = -1516 - 1578. List the prime factors of l.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-30) + (-38)\/(-57).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 12:55 AM?\nAnswer: 12:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -242967783*o**2 - 242967787*o**2 + 485935571*o**2.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -1112.9 and -10272869.\nAnswer: -10273981.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30 + -28. Suppose 0 = -5*z - 2 + 17. Suppose d - 4 = -z*i + i, -4*i = 4*d - 16. Sort d, -2\/3, f, -4 in descending order.\nAnswer: d, f, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3, 1\/54, 4\/5, 3\/4, -5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15\/13 + 58\/39. Which is the third biggest value? (a) 1 (b) -0.6 (c) 0.2 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-2) - 10)*-1. Let q(g) = 10*g**2 - 4*g - 1. Let y be q(3). What is the highest common factor of w and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19647543729 - -19647543867.00000083. Let m = -321 + 459. Let j = m - i. Round j to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81754980 is divided by 8175498.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 73 = -191. What is the remainder when t is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2211 - -11010121111011?\nAnswer: 11010121101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and (-123)\/(-5) - 168\/280?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 21*c**2 + 112*c + 301. Give r(-25).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 118860047 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 11*l**2 + 2*l. Is 11 a factor of a(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + 4*k - 4. Let o be h(-6). Suppose o = -w + 4*f, 2*w - 3*w = f - 7. Solve -2*a - w = -0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -192 divided by 3.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of g**4\/4 - g**2\/2 + 149*g + 1. Suppose 7*q + 20 = 3*z + 2*q, 4*z + 3*q + 12 = 0. Is k(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 13 = -5*t, -62*t - 5 = -z - 58*t for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**3\/3 + 3*g**2\/2 + 2*g + 15. Suppose 3*c - 2 = 10. Suppose 0*a = -c*a - 12. Calculate d(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 220813601 and 26081.\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1661, 1734, 1917, 2210, 2613, 3126?\n\"Answer: 55*y**2 - 92*y + 1698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207571 is divided by 5092.\nAnswer: 3891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34.000182 + 34. What is n rounded to five dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71)\/((-426)\/(-12))*17?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5107861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64131404?\nAnswer: 2, 43, 179, 2083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 593 (base 12) in base 10?\nAnswer: 831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (268*(-1)\/10)\/((-12)\/1005)*2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -4*r + 4564, -31 + 16 = 3*r. Calculate the remainder when w is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 2*d - 5. Let f be p(-3). Let y(h) = h**2 - 2*h - 4. Let g(v) = -v. Let a(t) = 4*g(t) + y(t). Let c be a(6). Put f, c, 5 in decreasing order.\nAnswer: 5, f, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14004.88 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + 11*l**2 - 10*l + 12. Let j be m(10). Suppose 0 = -2*z + x + 6, -6 = 2*z - 4*x - 0*x. Let p = j - z. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes after 2:16 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -8*s**2. Let v(n) = n - 1. Let b(g) = 4*g - 6. Let f(z) = b(z) - 6*v(z). What is l(f(c))?\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13383\/8 + -282713\/169. Find the common denominator of -51\/88 and s.\nAnswer: 14872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5622*n = -5919*n + 1485. Let v = -49 + 129. Suppose 0 = -3*y - 2*s - 3*s + v, -123 = -5*y + 2*s. Calculate the highest common divisor of y and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00004223 to six dps.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 + -212121110101?\nAnswer: -212121110120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 70715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 - -5 - -4*1\/(-2). Suppose l - 5*l = y*f - 20836, 0 = -3*f. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151452 is divided by 151404.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15160378?\nAnswer: 2, 233, 32533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234813*o - 234816*o = -4*h + 24, -5*o - 2*h = 14 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-11)*k)\/k**(-13)*k*k\/(k*(k*k**(2\/53)\/k*k)\/k)*k*k*k**(-2\/45) assuming k is positive.\nAnswer: k**(16499\/2385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1684 divide 674823726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 2*f + 1. Suppose a + 2 = 5*m + 7, 2*a = 2*m + 2. Let k be y(a). Let s be (0 - k)\/((-1)\/4). What is the third biggest value in -0.1, -3\/8, s?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 158732604 to the nearest 100000.\nAnswer: 158700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 454337 - 454346. Let h(m) = m - 3*m - m + 2. Let r(l) be the third derivative of l**4\/4 - 5*l**3\/6 - l**2. Give u*h(y) - 4*r(y).\nAnswer: 3*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/4 - (-2365)\/172. Solve 2*m + y = i - m, -4*i + m + 12 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4\/3)\/(6\/(-72)). Let i = m + 22. Let t be 596\/i + (-9)\/27. What is the greatest common divisor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - ((0 - -3 - (15 - 24)) + 15)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0. Let z = -11.77 + 709.77. Let r = z - 697.2. What is the closest to 0.1 in o, r, -0.3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -121*30972\nAnswer: -3747612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2613*r**2\/4 + 20901*r\/2 + 24.\nAnswer: -3*(r - 16)*(871*r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 111 + 28*k**2 - 22*k**2 - 112.\nAnswer: 6*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/(-15 - 24591\/(-1638)). What is the highest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68404 divided by -17.\nAnswer: 68404\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -28*q + 531. What is the thousands digit of u(-47)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3 - 735*o**2 - 6099*o + 6831.\nAnswer: 3*(o - 253)*(o - 1)*(o + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-169 + 161 + 2*o - 9*o)*(-39*o + 8*o + 11*o - 41*o) in the form x*o**2 + s*o + y and give s.\nAnswer: 488","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**3 - 3*i**2 + 3*i**2 + (-i + i - 2*i)*(218 + 12*i**2 - 218) - 7721 + 7721 - 40*i**3.\nAnswer: -65*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26387 is divided by 377?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -75 + 107. Suppose 0*q = 4*q - d. What are the prime factors of q - 2\/((-2)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 9*x. Let c(f) = -10*f + 12. Let n = -35 + 36. Let z(y) = -y + 1. Let s(h) = n*c(h) - 12*z(h). Calculate s(o(v)).\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -88*j + 18. Let t(r) = 34*r - 7. Let f(a) = -7*g(a) - 18*t(a). Let q(b) = 651*b. Determine f(q(s)).\nAnswer: 2604*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1014 - -0.1578741\nAnswer: 1014.1578741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 278? (a) 12 (b) -5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, c: 6, x: 7}. Give prob of picking 1 x and 1 c.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1687014534 to the nearest integer?\nAnswer: 1190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5564+-212312\nAnswer: -206748","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 121686.6 millilitres in litres?\nAnswer: 121.6866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**5\/35 - 11*r**4\/2 - 6065*r**3\/21 - 4636*r**2\/7 + 86640*r\/7 + 7392. Factor c(u).\nAnswer: -(u - 3)*(u + 5)*(u + 76)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*r**3 - 24 - 627561*r**2 - 4*r**3 + 627561*r**2.\nAnswer: 16*r**3 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a**2 - 193*a + 12. Let l(y) = -3*y**2. Calculate v(l(z)).\nAnswer: 18*z**4 + 579*z**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108 - 105. What is the third biggest value in r, -0.2, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 8 = 172. Let k be (-1 + 9)*g\/(-48). Suppose 3*l + 3 = -k. Put 1, l, -4 in decreasing order.\nAnswer: 1, l, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9016)\/280 + 54 + -35)\/(3\/20).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.35065 years in centuries?\nAnswer: 0.5135065","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1908 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - -33 - ((0 + 0 - 91) + 6)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21317181389 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -32, -98, -202, -338, -500, -682, -878?\n\"Answer: j**3 - 25*j**2 + 2*j - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 18 - (-4 - (-833)\/(-68))\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24707206?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(4\/(-6) - (-39)\/234).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59572179 + 1512*h - 59572179 to p + s*h and give s.\nAnswer: 1512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rd when two letters picked without replacement from {r: 3, d: 9}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -3\/8 (b) 0.4 (c) 5 (d) -2645\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1207 - -1184. Let g(q) = q + 33. What is g(i)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, o: 6, p: 6, g: 4}. Give prob of sequence oyo.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + f**2 + 4525*f**3 + 0*f - f**2.\nAnswer: 4525*f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 3*u. Suppose u = y + 1 - 6. Solve 5*m**3 + y*m**4 - m**2 + 2*m**2 - 5*m**5 - 5*m**2 - m**2 = 0 for m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2724.065 minus -75167.11?\nAnswer: 72443.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100110101 + 110?\nAnswer: -1100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 178015 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g**3 + 3*g**3 + 0*g**3)*(-332095 - 662*g + 5709*g + 332095) + (-2*g**4 + 0*g**4 + 7*g**4)*(3 + 2 - 3).\nAnswer: -5037*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - u = 2*u. Let v(l) = -l + 2. Let y(m) = 1. Let s(j) = -v(j) - 2*y(j). Let n be s(5). Solve 2*f + 2*a - 3 = n, -4*f + a + 8 = u for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-104)\/65 - (-9218)\/55. Solve -20 = j*g - 170*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21.38 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.98 + 0.02. Let w = -221 - -1544\/7. Which is the closest to k? (a) -4 (b) w (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of -a**8\/48 - 11*a**4\/24 - 4*a**2. Find the second derivative of b(z) wrt z.\nAnswer: -140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**4\/4 + 5*r**3\/6 - r**2\/2 + 29*r. Let h be u(-4). Solve -5*k - h = -7 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1311.3 + 1311.28. Let s = 1\/18 - 47\/198. Which is the fourth biggest value? (a) s (b) -2 (c) -3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9349641 divided by 27\nAnswer: -346283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4159, 7857, 11437, 14839, 18003?\nAnswer: 20869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*h**3 + 164*h**3 - 58*h**3 - 52*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/(2*sqrt(5)) - (sqrt(24)\/(sqrt(24)\/sqrt(3) + sqrt(8)) + sqrt(3))) + -5*-2*sqrt(75))**2.\nAnswer: 7203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6976, -7062, -7198, -7378, -7596, -7846, -8122?\n\"Answer: u**3 - 31*u**2 - 6946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s - 11. Let l be u(-8). Suppose 4*y + 253 = 3*a - 412, -1113 = -l*a + 2*y. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -42. Is 1\/19 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 - 19*r - 48. Let w(m) = m**2 - 7*m - 16. Suppose 15*f + 57 = -63. Let y(a) = f*w(a) + 3*s(a). Find the first derivative of y(l) wrt l.\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(5*(-3 + sqrt(112)) - sqrt(112)))**2 + 5)*-5.\nAnswer: -161385 + 38400*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 41533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 18 = 2*a. Let r(k) = -k**2 + 13*k + 1. List the prime factors of r(a).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 884\/(-884) + (0\/(-1) - 6)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 2664.\nAnswer: 13320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (15\/6)\/((-2)\/(-144))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -51*g**2 - 31*g + 17. Let t(b) = -25*b**2 - 17*b + 9. Let q(s) = 7*t(s) - 4*v(s). Let k(x) = 246*x**2 + 42*x - 42. Calculate -5*k(h) + 42*q(h).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 95 or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 1100101101?\nAnswer: -1100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 224 and 160.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 57 (b) 1 (c) 119 (d) -1 (e) 6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -106, -138, -162, -178?\nAnswer: -186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 4*w + 8. Let f(t) = t - 2. Let o be f(-2). Let i be a(o). Let x(g) = -g**2 - 8*g - 6. Calculate x(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + y - 8. Let o be d(4). Let x be -16*o\/32*-2. Let b = x + 10. Calculate the highest common factor of 198 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 - -35. Let o = t + -23\/2. Is o at most as big as 1.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -285098.16 to the nearest one hundred.\nAnswer: -285100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19.044 + -18.944. Put h, 5, 671, 4\/3 in increasing order.\nAnswer: h, 4\/3, 5, 671","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/4)*r*r)\/r**(-1\/29))**(-15\/7) assuming r is positive.\nAnswer: r**(-3105\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of d**3\/3 - 2*d**2 + 3*d. Give x(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -5*c - 2055, 10*c - 412 = 11*c + l. Let o = c - -410. Sort -3, 1, 5, o.\nAnswer: -3, 1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + l - 1. Let s(n) = 2*n**2 - n + 2. Let z be (14\/(-35) - 1702\/(-5))*1. Let w = z + -345. Give w*u(i) - 3*s(i).\nAnswer: -i**2 - 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(-4) - (-5)\/20. Let l(d) = -q*d + 9*d - d. Give l(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3211 + -3205. Calculate the highest common factor of 150 and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -102016 + 9385089\/92. Let x = u + 17\/4. Which is the fourth smallest value? (a) 1\/2 (b) 0.3 (c) -16 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 783743 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 + 43*x - 31. Let d(s) = 3*s**2 + 43*s - 29. Let c(j) = 6*d(j) - 5*i(j). What is the remainder when 7*((7 - 3) + -3) is divided by c(21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 12*z. Suppose z*t + 167 = g + t, -4*g = -4*t - 660. What is the tens digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1274\/(-168)*102\/21. Let h be (0 - -6)*(-95)\/15. Which is smaller: s or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 547180 and 109?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6603\/(-62) + (-2597)\/98.\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -340.9 + 341. What is the nearest to -26\/9 in k, 3\/8, -4\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f = 20*f - 3856. Let a = 553 + f. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2)*(-2*o + 4 - 4)*(-35 - 2*o + 35).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1165615195?\nAnswer: 5, 1951, 119489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 4*p - 7. Calculate the remainder when -2*(3 - (18 + -7)) is divided by v(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4156 divided by -37870\nAnswer: 2078\/18935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - (sqrt(240) - (sqrt(240) - (sqrt(240) + -2*sqrt(240))))\/sqrt(12))*-6.\nAnswer: -24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -41 - 78?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((10\/8)\/5)\/(1\/(-4)). Let l(r) = -r**3 - 2*r**2 - 2*r - 1. What is l(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**5\/20 - 5*a**4\/12 - 4*a**3\/3 + 4*a**2 - 101*a. Give j(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8831.12 - -8390. What is m rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = -4*p + 17. What is the greatest common divisor of 52 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t + 1. Let v be j(3). Let i(k) = k**2 - k - 11. Let r be i(5). Let b(l) = -2*l - 3. Let x(z) = -8*z - 13. Give r*b(p) + v*x(p).\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 712.5422ml?\nAnswer: 0.7125422","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 504 and 815976.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49481997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*h**3 - 51*h**2 + 30*h.\nAnswer: 3*h*(h - 1)*(7*h - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 + o**4 + o**4)*(88 - 1497 + 314).\nAnswer: -2190*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4257283, 4257284, 4257287, 4257292?\n\"Answer: p**2 - 2*p + 4257284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*-3*sqrt(30)*1)\/(-4*sqrt(250) + sqrt(90)*-2 + sqrt(10)))**2.\nAnswer: 432\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -2, 2\/3, -1\/16, -4?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-5))**(2\/59) assuming f is positive.\nAnswer: f**(-8\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -234 in -212, 5\/2, 2\/7, -5, 1?\nAnswer: -212","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 1, 6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24412 and 2129588.\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*t**3 + 33*t**3 + 21*t**3 - 2*t**2 + 0*t**2.\nAnswer: 41*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = f - 11, -2*f = -5*w + 26 - 4. Let c be -2 + w - -1477 - 0. Suppose 0 = y + c + 31. What is y rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 368*g + 200. Let l(j) = -57*j - 31. Let m(n) = 5*k(n) + 32*l(n). What is m(5)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5*i = -8*h - 92, 3*i = h - 896 + 910 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, n: 1, l: 6, q: 6}. Give prob of picking 1 d, 1 n, and 1 l.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-12))\/(-1)*(-48)\/(-120)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/4 or 152961169?\nAnswer: 152961169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 146 + -86. Suppose c + 332 = 3*m - p, -5*c = 3*m - 362. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129701152.\nAnswer: 2, 7, 579023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -4*f - 0*o - 5*o, -24 = 2*f - 3*o. Is (f\/9 - -1)\/((-20)\/3690) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 3*f**2 + 3*f + 1. Let a be m(-2). Let w be -2 - (14\/(-42) - (-8)\/6). Let v be -4 + w*6\/a. Is -2 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11657 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136252*a**4 - a + 532 wrt a?\nAnswer: 1635024*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h + 51. Let j be y(-13). Let s = -333\/2 + j. Which is the closest to -3? (a) -7 (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(2\/12)*-2. Suppose -5*u + p = -65, -2*p - 2*p = 0. Let t = m - u. Is -1\/4 bigger than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 184 and 740876?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3ca59a - 1?\nAnswer: 3ca599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 1336\/3 (c) -527\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -23*m**3 + 184*m**2 + 4*m - 33. Calculate p(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 121 - 1. What are the prime factors of k?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1111, -2222, -3333, -4444, -5555?\nAnswer: -6666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 - 134. Let w(t) = 202*t**2 - 3 - 102*t**2 + t**m + 2*t - 96*t**2. Let q = -9 - -6. Give w(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - 1 - 3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/4 - k**3\/4 + 3*k**2\/2.\nAnswer: -k**2*(k - 2)*(k + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)*-3 + sqrt(18))\/(sqrt(441)*2 - sqrt(441)).\nAnswer: -11*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = r + 4*r - 24, 4*z = -16. Let v = 0 + -1. Calculate the least common multiple of (v - 11)*(-1)\/2 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -5 (b) -63 (c) 0.6013 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (63\/(-12))\/(-7)*-4. Let y be (20\/6)\/(2\/k). Which is greater: -4 or y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 12. Let b be r(-7). Let -6*w**4 + 11*w**5 + 0*w**5 - 2*w**3 + 3*w + b*w**4 + 4*w**2 - 12*w**5 = 0. What is w?\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**7\/504 - f**5\/40 + f**4\/12 - 3*f**2. Let m(o) be the second derivative of w(o). What is the derivative of m(i) wrt i?\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 116 - 80. Let l = h - 18. Does 7 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(26\/8*-2). Let u = 3 + -3. Let g = -1 - 0. Which is the second smallest value? (a) g (b) u (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14003.99 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -732 at most as big as -731?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c + 6. Suppose x - 4*x = 0. Let t be h(x). Suppose 15 = t*z - z. Solve -r = z - 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-3) + 4 + (259\/(-77))\/((-48)\/1232).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 586*m**2 - 3. Let h(j) = 2*j**2 - 120. Calculate h(a(t)).\nAnswer: 686792*t**4 - 7032*t**2 - 102","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 12*d + 102. Let f = -310 + 318. Let u be y(f). Calculate the highest common factor of u and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*x**2 - 22*x**2 + 19*x**2 as s*x**2 + v*x + n and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-1 + sqrt(14)\/sqrt(2))*2.\nAnswer: -3 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12505466153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 60545*y**5 - 1816325*y**4 + 15317135*y**3 - 25422575*y**2 + 11856320*y + 4900 = 0.\nAnswer: -5\/12109, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -9.84?\nAnswer: 9.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -p**6\/2 - 12*p**5\/5 + 15*p**4 - 10*p**3 - 57*p**2\/2 + 42*p - 931. Suppose z(w) = 0. Calculate w.\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 158343 + 0.2.\nAnswer: 158343.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - 5. Let g = u - -6. Let o = g + 3. Solve i = -o + 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 388.3541 centuries?\nAnswer: 38835.41","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**2 + 9 + 1 - 13 - 4*o. Determine a(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v. Let c(j) = -387233682*j**2. Calculate c(p(z)).\nAnswer: -387233682*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4*t - 494 = 0. What is the hundreds digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.4 and 42 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*r - 8, a + 2*r - 22 = -3*a. Suppose -2*h = -0*h + a*h. Solve -k - 1 = -h*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/10)\/(5*2\/4).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*k - 39*k**3 - 61*k**3 + 101*k**3.\nAnswer: k**3 - 17*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 105557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 707 + 5?\nAnswer: 70c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12465377.200077 - 12465534.2. Let u = 157 + x. Round u to 5 dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s + 8. Let z(a) = -5*a - 7. Calculate -5*t(m) - 6*z(m).\nAnswer: 5*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 804 and 636?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21.77421 nanometers to meters.\nAnswer: 0.00000002177421","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-459)\/(-68)*(26\/546*28)\/(1\/2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**3 - 6*y. Let x be (-4 + 9)\/((-3)\/(-3)). Let n(p) = -p**3 + p. Give x*n(f) + o(f).\nAnswer: -2*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -865 + 0?\nAnswer: -865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/270 and -61\/2227743?\nAnswer: 22277430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43456?\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**3 + 1590*t**2 + 290577*t + 14158988 = 0.\nAnswer: -1388, -101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 10:28 AM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -17250.711918 and -5.\nAnswer: -17255.711918","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y + 19. Let l be r(-17). Solve -5*h + 23 + l = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000123576442 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-10))\/(18\/(-8)))\/(3072\/(-4608))\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*k**3 + 5*k**3 + 0*k**3)*(5*k - 8*k - 7*k) + 2*k**3 - 2*k**3 + 2*k**4)*(3 + 0 - 2 + (-1 - 2 + 5)*(-1 + 3 + 0)).\nAnswer: -40*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 6\/984359?\nAnswer: 6\/984359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15511054?\nAnswer: 2, 13, 596579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*g*o**4*y - 2*g*o**3*y + 171*g*o - 101*o**3*y**2 - o**2 - o*y**2 wrt o.\nAnswer: -48*g*o*y - 12*g*y - 606*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.74740018 rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72779\/(-1124) + 2 + 12 + 2 + 21\/12.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w - 2. Let v be t(-3). Let z be ((-265)\/(-10))\/(2\/v). Let h = z + 191. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62264, -124520, -186776, -249032?\nAnswer: -311288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4402*u**2 - 32 + 0*u + 1468*u**2 + 1467*u**2 + 1466*u**2 - 4*u. Calculate s(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 10*c + 1. Let a(l) be the first derivative of -l**3\/3 - 21*l**2\/2 - 45*l - 54. Let d be a(-18). Calculate w(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 10 = 5*y + n, -15 = 3*n. Let v(b) = 5 + 2 + 6*b + 0*b**2 - b**2. Calculate v(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**2 + 1108*i - 2206. Let c(h) = 2*h**2 - 1106*h + 2208. Let p(m) = -6*c(m) - 4*s(m). What is d in p(d) = 0?\nAnswer: -553, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 * 28687\nAnswer: -200809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a - 1. Let d be h(1). Let l be (54\/(-90))\/((-2)\/10). Factor 2 - 7 - 3*g**2 + 10 + l*g + d.\nAnswer: -3*(g - 2)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 + 22*c**2 + 18*c + 60. Determine b(23).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, 11, 8, -17, -76, -181?\n\"Answer: -2*j**3 + 7*j**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-334)\/(-1560) + 45\/(-195))*4\/(-5) and -97\/36.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3}. Give prob of sequence uuu.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0274 * -26.\nAnswer: -0.7124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1962, -1938, -1844, -1650, -1326, -842?\n\"Answer: 5*y**3 + 5*y**2 - 26*y - 1946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zaa when three letters picked without replacement from aazazazzzz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*1\/6*3. Let t = -8 - a. Is -5 equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 - -54. Suppose -12*s - y*s + 608 = 0. Calculate the remainder when 70 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1537 = 3*c + 4*i, -3*c + 4*c + 2*i = 513. Let f = c - 157. Calculate the lowest common multiple of 10 and f.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03976 - -965.03976. What is the closest to g in 1\/7, 2\/9, -4, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**2 - 101*w + 2288. What is d(15)?\nAnswer: -127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 685 - -5.\nAnswer: 690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 5\/6 (b) 4 (c) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/a**(2\/3))\/a)**(2\/27))**(-25) assuming a is positive.\nAnswer: a**(-50\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 217 - 221. Put 2, 1, 6, q in decreasing order.\nAnswer: 6, 2, 1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, a: 1, n: 1, t: 1, h: 1}. Give prob of sequence ha.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7110)\/1185)\/((9\/(-2))\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -36*l + 5. Suppose -x = 2*g + 11, 0 + 9 = -3*g - 3*x. Is a(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 441751060.\nAnswer: 2, 5, 22087553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 - 2. Let i be l(2). Suppose 3*y = -1 + i. Suppose 11 = 5*m - y*p - 2, 0 = -2*m - 4*p. Solve m*f = f - 2 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 7. Let z = 17\/3 - j. Let a = -30 + 366\/11. Find the common denominator of z and a.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, 359, 2, 0, 5\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 4, -4, -2535, 1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2. Let c(o) = -4. Let y(j) = -2*c(j) + 5*i(j). Suppose q - 3*r = -6, -8*r + 21 = 2*q - 3*r. Let v(b) = b - 3. Calculate q*y(l) - 2*v(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -112 - -4?\nAnswer: -10e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -r + 8. Let x = -30 + 18. Let h be (-2 - 40\/x)\/(4\/9). Sort -24, h, r.\nAnswer: -24, r, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4*(100\/8 - 4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.03, -12, -2, -5\/8?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 54865 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 17. Suppose 6*s + 15 = m*s. Suppose -b = s*k - 43, 0*k + 172 = 4*b + k. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 651861 and 14553.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20749614 by -5.\nAnswer: -20749614\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**12*o\/o**(-3\/13))**(-26)\/((o*((o*o*o**(-2)*o)\/o)\/o)**44)**(-6\/19) assuming o is positive.\nAnswer: o**(-370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -5. Suppose 7*y + 12 = 13*y. Solve 4 + 8 = 5*m + y*r, -3*r + u = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.8 - 0.789. What is q rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a gram in milligrams?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 - 7*s**3 + 3*s**3 + 3*s**3 + 4*s**3.\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -111477339 greater than -111477339?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 14487 = 42203. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -104 greater than or equal to -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35420000 = 4*s - 27*s. What is s rounded to the nearest 10000?\nAnswer: -1540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16679 - -16737. Solve -c*g + 621 = 11*g for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*z + 145*z - 28044 = 1047*z for z.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15940 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 4*a - 0*a. Let l(m) = m**3 - 11*m**2 - 11*m - 10. Let f be l(a). Let c be 3*-1*2\/6. Put f, c, -4 in decreasing order.\nAnswer: f, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -0.5, -1633\/3?\nAnswer: -1633\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 27*j**3 - 2*j**2 + j. Let q be f(1). Suppose -i = i - 26. What is the highest common factor of i and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10, -12, -72, -188, -378, -660, -1052, -1572?\n\"Answer: -3*j**3 - j**2 + 2*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 134 + 483?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46306*p*w**3 + 12223*w**3 + w**2 wrt p?\nAnswer: -46306*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -10260120 divided by -2052024\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 370286, 1481171, 3332656, 5924741?\n\"Answer: 370300*j**2 - 15*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -5.261?\nAnswer: 5.661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 + -59. Let v be (-1)\/(m\/(-9) - (-87)\/(-234)). Suppose 0 = 4*g - 4*o - 20, 3*g + o - 1 = v. Let b(x) = x**3 - 9*x**2 + 9*x - 12. Calculate b(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c = -4*r - 2, -4 = 2*r. Let v be ((-4)\/(-10))\/(c\/10). Let a(j) = -v + 4*j + 3 - j**2 + 0*j. Give a(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1.1 or 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*z + 102*z = 52*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 149.3656749 to the nearest integer.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r + 1. Let s(q) = -q**2 + 19*q + 64. Let p be s(22). Let u(d) = -2*d**3 + 3*d + 2. What is p*f(b) + u(b)?\nAnswer: -2*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 17 = -5*r, -23 = -2*q - 3*q - 2*r. What is the third derivative of -19*i**2 + 2*i**3 + 11*i**2 - 11*i**q wrt i?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -130, -113, -70, 11, 142?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -355, -3, 0, 5 in ascending order.\nAnswer: -355, -3, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 3*b**2 + 2*b**2 + (0*b**2 + 4*b**2 - 5*b**2)*(-1 + 0 + 3))*(4 - 4 + 2*b**2).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 - -20. Solve -2*r + 2*a = v, 0 = -2*r - 3*a - 4 - 3 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 386\/247 at most 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 67*a**3 + 983*a**3 - 3802*a**3.\nAnswer: -2752*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13086?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4367079 divided by 51.\nAnswer: 85629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 1073 = 3*m, -5*y - 5*m + m + 1342 = 0. Suppose -2*n - 2*i + y = -6*i, 2*n - 264 = 2*i. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 + -13. Let u(j) = j**2 + j - 2. Let v be u(-3). Let a = -5 + v. What is the closest to a in -3\/5, z, -2\/11?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(-9))\/((-1)\/(-15)). Let p be y\/2*4\/5. Find the second derivative of -2*m - 2 + m**p + 2 wrt m.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 - 2320\/9) + 8\/(-36). Let l = -68 - m. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**5\/60 - 17*p**2. Let w(m) = 4 + 2*m - 4. Determine w(g(q)).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -0.2 (b) -1 (c) -11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 8*n + 5. Let x be p(-7). Let r(u) = -14*u - 10. Let c(l) = 0 - 23*l + 1 + 24*l. Give x*c(m) + r(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -10*s. Let f(r) = 2*r - 1. Let i(l) = 22*l - 12. Let n(y) = 12*f(y) - i(y). What is a(n(q))?\nAnswer: -20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7506 - -75119\/10. Calculate the common denominator of 5\/(60\/(-189)) - (-140)\/20 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60408159.\nAnswer: 3, 7, 2876579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:36 PM and 2:01 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 36*o - 15*o - 1239 = 0, 6*i - 3*i + 81 = -4*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, 0.2, -5, 1.9, -0.0562, 0, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -121348 and -0.8.\nAnswer: 97078.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 + 2b31?\nAnswer: 2b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80*a**5 + 40*a**4 - 115*a**3 - 30*a**2 + 45*a = 0. What is a?\nAnswer: -1, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -5104000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 5*z**2 - 8*z + 9. Let q be h(6). Let k = 3 - 2.7. Sort -0.5, k, q.\nAnswer: q, -0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 154.6132.\nAnswer: -152.6132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -2*t + 17, 3*w - 253 + 66 + 9 = -13*t for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3241*w - 23059 = 820 + 61723 + 24592 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4 - 146*k**3 + 156*k**2 + 584*k - 592 = 0.\nAnswer: -74, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -88*t**2 + 2*t + 1. Let w(v) = 44*v**2 - 1. Let k(p) = 5*w(p) + 2*y(p). Let o(j) = -131*j**2 - 11*j + 8. Determine -8*k(z) - 3*o(z).\nAnswer: 41*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 9:00 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - 0.4. Let r = -1109\/2 + 552. Let j = -0.2 + 0.2. What is the closest to -2\/7 in j, r, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 4, 0.4, 12, -2, -0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 + 80.8. What is the closest to 0 in -2\/9, 2\/7, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 5*l - 3*k - 182, 0 = l + k - 37. Let y(t) = -131*t**3 - t**2 + 14*t + 28. Let u be y(-2). What is the highest common factor of l and u?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -658*f**2 - 647*f**2 - 648*f**2 - f + 159*f**3 + 1973*f**2 wrt f.\nAnswer: 954","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 209*c**4 + 88*c**4 + 229 - 154 + 201 wrt c.\nAnswer: 1188*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -2, 3\/61, 0, 3\/8 in increasing order.\nAnswer: -2, -0.1, 0, 3\/61, 3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 899563229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -227, -452, -677, -902, -1127?\nAnswer: -1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 + 2*i + 2. Let j(w) = w + 1. Let p(n) = 2*j(n) - y(n). Let h(m) = 17*m. Give p(h(v)).\nAnswer: -289*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6 + -0.031?\nAnswer: 8.569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -32953 and 0.4.\nAnswer: -32952.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1895438\/22333 + -1952\/23. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 3371 = -3*t + 1799, t - 1735 = -4*u. Suppose 0 = -3*z + t - 215. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3620 + 5*h**2 + 3620.\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010111100000 - 11100000011?\nAnswer: -1110011100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27480 - 27481. Which is the closest to 4.2? (a) -5 (b) -0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-4 - (7 - 10) - 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-16)\/7056*(-3)\/27)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 12:03 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 749000 rounded to the nearest 10000?\nAnswer: 750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*s**3 + 288165*s**2 - 7489035*s + 7200875 = 0. What is s?\nAnswer: 1, 25, 57607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 96020260 to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - f - 3. Suppose 0 = 3*k - k. Let d = k + 0. What is h(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u + 6. Let t = -6 - -4. Let m be t*(0 - 10\/(-4)). Calculate the remainder when 31 is divided by w(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22605 and 780.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 + 60*t - 100.\nAnswer: -5*(t - 10)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -79 + 84. Suppose 5*z + 640 = k*v, z - 5*z = -v + 137. Let l = v + -122. Put -4, -2\/3, l, 0.09 in increasing order.\nAnswer: -4, -2\/3, 0.09, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -29*o + 46085 - 497. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c. Let p be o(0). Suppose w = -p*w - 3. Is 450\/4 + w\/(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -781, -158, 8, -13.\nAnswer: -781, -158, -13, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (140\/5 - 1) + 3. Suppose -8*c - 4840 = -l*c. Is 10 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.05, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*8\/(-120))\/(-1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (38 - 55) + 29158\/1 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 r when three letters picked without replacement from mrmmmrmmmmmm.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-126)\/(-24) - 1\/4. Suppose 3 = 2*w - x. Let m = 9 + -5. Are m and w nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*x - 17*d + 21*d, -8 = -4*x + d. Let s(t) = 5*t - 37. What is s(x)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let r(u) = 168576*u - 81*u**2 - 84288*u - 84288*u. Calculate r(a(l)).\nAnswer: -81*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1102 and 190.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**2\/5 + 4371*f\/5 - 5380164\/5 = 0. Calculate f.\nAnswer: -2253, 796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*f + 5204 - 10676. What is the lowest common multiple of 992 and f?\nAnswer: 8928","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2220883?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -392 + 391.99706. Round x to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2228 - 2228. Let i(v) be the first derivative of 0*v**3 + k*v**4 + 3\/2*v**2 + 0*v - 1\/5*v**5 + 3. Find the second derivative of i(h) wrt h.\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/1064 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -59\/5, -12, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 50*u**2 - 410*u - 74. What is r(-10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, 0.07, 5, -15 in increasing order.\nAnswer: -15, -0.4, 0, 0.07, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24510033*c**3 + 21621*c - 516 wrt c.\nAnswer: 147060198*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73 = -18*v + u, -18*u = -21*u + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 247083*t - 5435810. Give x(22).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1219 and 169303.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -764 or -762?\nAnswer: -764","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of -1\/105*y**5 - 1\/42*y**4 + 7*y**2 + 0 + 0*y + 4\/21*y**3. Find d such that x(d) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/152547376 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22145532, -22145540, -22145548, -22145556, -22145564, -22145572?\nAnswer: -22145580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 14*z - 62. What is r(7)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 3*w - 83 = 0. Let k(p) = 23*p + 90. Let f be k(-7). Let j = f + w. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -0.1, 18, -1.9, 1\/2, -0.2, -0.7?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 6 + 0*n**2 + 0*n + 3\/5*n**5 + 9\/4*n**4 + 2*n**3. Find s, given that f(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m + 8. Let x be n(5). Differentiate 8*w**3 - 8 + 2*w**x + 4 - 3 with respect to w.\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 4*y + 3. Let p be d(-2). Put -2, p, -3 in increasing order.\nAnswer: p, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 10 = 4*q. Suppose -4*i + a - 2 = -14, 4 = -2*i - q*a. Let t(z) = -z**3 - 2*z**2 + 3*z + 4. Calculate the remainder when t(-3) is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1650 divided by 10.\nAnswer: -165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17726?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17)\/(-2) - ((-136)\/(-16) + -7). Is (-6788)\/(-2) - (84\/o + -7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75228 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -8*y + 90 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and 12879.\nAnswer: 12879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29411*q + 252 = -29427*q + 4*j, 5*j - 190 = -5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (4757\/426 + (-2)\/3)*(-14160)\/(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**22*v*v**(-1\/20))**(-45) assuming v is positive.\nAnswer: v**(3609\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15490 + 44583 = -238*y - 306*y - 75*y for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from zqqqzzzf?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 10. Give p(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-65)\/(-195) - (-336)\/(-9). Let u(o) = 55*o**3 + 2*o**2 - 2*o + 1. Let a be u(1). Let t = a + r. Which is smaller: 20 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 1 (b) -0.269 (c) 0 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54465790 and -0.4.\nAnswer: -21786316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24594*j - 17*j**2 - 13*j**2 - 13*j**2 - 24594*j + 49*j**2.\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + 11*q - 5. Let i be a(-11). What is the units digit of (-1 - -4) + -6 - i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 601*y - 6110.\nAnswer: (y - 611)*(y + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g + 9*g**2 - g**2 - 13*g**2 - 27*g**2. Let u be s(-1). What is the tens digit of -5 - u - (1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1994 divided by 997.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - 1) + (-20826 - -20955)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 16407*l - 16565*l + 2054 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k + 4*k + k - 23*k. Let c(b) be the first derivative of -b**3 + 4. What is g(c(q))?\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 134 and 11993.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a meter in centimeters?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*s - 278 = 17*s + 5*f, -5*f + 800 = 5*s. Calculate the remainder when 626 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 94. Let f(g) = 100. Determine 4*a(i) - 5*f(i).\nAnswer: -4*i - 124","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*b + 2. Suppose -b*t + t = -2. Let a = t + 3. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -8, 19, 55, -2 in descending order.\nAnswer: 55, 19, -2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 - 14832*n**2 - 55 + 29660*n**2 - 14830*n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 180959177479 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (13 + 164\/(-12))*(-522)\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (110\/(-240)*-12)\/1.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -4. What is the closest to 0 in 0, -2, b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*j**2 - 53174*j + 4953786 wrt j?\nAnswer: -78*j - 53174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aamaamaaa. What is prob of sequence aa?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4389*v - 290*v**3 + 4389*v + (0*v**3 - 4*v**3 + 2*v**3)*(0 - 5 - 2) - 3*v - 2*v**3 + 3*v as m*v**3 + z + g*v + u*v**2 and give m.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwhip. What is prob of sequence pm?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 5 + 0)*(165 - 165 + 2*x + x**2) in the form l*x + b + h*x**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 5:24 PM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2\/7))**(-14))**(-1\/35) assuming p is positive.\nAnswer: p**(-4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1237.6 (b) -0.018 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/(-4) + 6\/(-8). Let p(v) = 0*v**3 + 0 + 34*v - 32*v + 1 + v**2 - 2*v**3. Calculate p(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2 + (0 + 1 + 1)*(1 + 1 - 1) + 4 + 4 - 4)*(3*b + 0*b - 4*b).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -37, 2 in descending order.\nAnswer: 2, -3, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 16*c - 18. Let r be l(-10). Let x = 62 - r. What is the third derivative of -x*n**2 - 11*n**2 + 114*n**3 - 157*n**3 + 4*n**2 wrt n?\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325757271*f**2 + 16*f**3 - 325757272*f**2 + 5*f**3.\nAnswer: 21*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -10322333?\nAnswer: -10322333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, m: 1, h: 3, q: 1, i: 3, v: 2}. What is prob of picking 1 h, 1 i, and 2 v?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -1 - 2) + 1 - 1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -76117.39*-1\nAnswer: 76117.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9 and -407861.\nAnswer: -407870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 6*g**2 + 6*g - 8. List the prime factors of m(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 + 11*m + 6. Let t(l) = -l. Let i(y) = -f(y) - 2*t(y). Suppose 4*p = 4*q + 36, -5*q + 2*p + 2 = -7*q. Is i(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-3)\/42*-4.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -h**5\/30 + 221*h**4\/4 - 662*h**3\/3 - h**2 + 2000*h. Determine d so that w(d) = 0.\nAnswer: 1, 662","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5ab2a (base 14) to base 9.\nAnswer: -367118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13 + -14 + 2 + 189. Suppose -192*b = -z*b - 3418. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8420 by -20.\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2176.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -41974832 divided by -43007?\nAnswer: 976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -181838 times -0.06?\nAnswer: 10910.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(6\/7)\/h)\/((h*h*h**(1\/9))\/h)*(((h*h*h\/(h*h**(-1\/5)\/h))\/h)\/h*h*h)\/h**(-5\/2))**(2\/15) assuming h is positive.\nAnswer: h**(2801\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Calculate 4 - (-4 + (4 - -4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9961351, 9961281, 9961211, 9961141, 9961071, 9961001?\nAnswer: 9960931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3486 + -329. Suppose 5*g + 6254 = 7*g + 4*n, -g = -4*n - w. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 9*s**2 - 3*s - 9.\nAnswer: 3*(s - 1)*(s + 1)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -832770*c**4 - 555135*c**3 + 1850630*c**2 - 740340*c + 40 = 0. Calculate c.\nAnswer: -2, 1\/18506, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10896444*o**4 + 25282554 wrt o?\nAnswer: -43585776*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 75*p - 158. Calculate a(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14160 divided by 10.\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.0708 and 3.5574 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 5*n**3 - 286*n**2 - 12. Let a(r) = -6*r**3 + 287*r**2 + 14. Give 6*a(q) + 7*o(q).\nAnswer: -q**3 - 280*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 7 + 3*m**2 - 1 + 137*m**3 + 4*m - 136*m**3. Let b be o(-3). Does 8 divide 108\/(-10)*(b - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.893 + 0.9. What is d rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.245*-0.071\nAnswer: 0.017395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*m - 66*m + 572 + 790 = 0. What is the remainder when m is divided by 62?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120*u = 2003 + 997. Calculate the highest common divisor of u and 3305.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 17.3355 and -4.\nAnswer: -69.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10103480 a multiple of 1832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 5*r + 12, 115592*r = -2*s + 115587*r - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -3*p - 5. Let x be h(-3). Suppose 0 = x*g - 6*g + 6. Calculate the greatest common factor of 21 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpcplaauuouu. What is prob of picking 1 l and 1 p?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 287049?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-9754)\/262)\/(-1))\/(-46). Let r = 7\/262 + v. Let j = 152\/253 + r. Are 1 and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/15 of a millennium in months?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -8. Suppose k*f + 0*f = 0. Let o be (2 - 5\/1) + f. Put 3, -2, o in increasing order.\nAnswer: o, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8932 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -2*j**2 - 14*j - 866. Determine b(13).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**2 + 0*m**2 + 2*m**3 + 21*m**3 - 9*m**3 - 21*m**3 + 2*m**3 + 2 - 2 - 4*m**3 - m**3 + 3*m**3 + (-2*m**2 - 2*m**2 + 5*m**2)*(-2*m - 2 + 2).\nAnswer: -9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 60908 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -2*f**3 + 5*f**2\/2 - 32. Let k(a) = -a. Let u(d) = -10*k(d) - 2*r(d). Let z(b) = -4*b. Give u(z(m)).\nAnswer: 192*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 208 and 1308866?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -342070 divided by -3\nAnswer: 342070\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8*x - 7 - 26 + 3*x. Calculate the remainder when 40 is divided by g(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8661?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8657 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d = -2*k + 652, -13*k - 55*d + 23*d + 30*d - 184 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s*s*s**1\/s))\/s**(1\/9)*(s**(-2\/11))**(-8\/11))**(-18))**(-22) assuming s is positive.\nAnswer: s**(-4264\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1590.\nAnswer: 2, 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 127879 and 5.\nAnswer: 639395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 539191?\nAnswer: 41, 13151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 3*m - 2. Let i be a(4). Let n = 160 + i. What are the prime factors of n?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -135205.4 + 0.144.\nAnswer: -135205.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3193\/90 - -71\/2. Let v(c) be the second derivative of 2\/27*c**3 - 1\/9*c**2 + 5*c + 1\/54*c**4 - l*c**5 + 0. Let v(j) = 0. What is j?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10.96 + -11. Sort -1\/8, d, 3.2 in descending order.\nAnswer: 3.2, d, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o**2 + o + 2. Let k be m(-1). Let h be -37*k\/(-6)*10. Suppose b + h = 2*p, 2*p + 82 = 3*p - 4*b. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 114*p - 118*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 597233, -2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -60, -182, -414, -792, -1352, -2130, -3162?\nAnswer: -4484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18746 is divided by 4468?\nAnswer: 874","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 8940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 42 and 20058122.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/22794750 and -23\/33750.\nAnswer: 113973750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 AM and 2:42 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -431 - -437. Solve 0 = -2*r + n + 4 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46120193 a multiple of 560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/11))**(-21)*j**7*j*j*j*j\/(j**(-1\/4)*j)*j assuming j is positive.\nAnswer: j**(663\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1619089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 9003*f. Let p(v) = -1953656*v. Give -7*p(m) - 1520*z(m).\nAnswer: -8968*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 406 and 43869?\nAnswer: 2544402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 848713 - 34848713. Round c to the nearest one million.\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3 + 2*p + 0 - 10 + 19 - 5 - p**2. Determine w(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -208\/5 (b) -4 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g + 6 - 22 + 7 + 8.\nAnswer: -8*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 7:00 AM?\nAnswer: 4:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**2. Let b(j) = 16*j - 936633. Calculate b(s(k)).\nAnswer: 64*k**2 - 936633","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 1:05 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5.4? (a) 13 (b) -2\/5 (c) -1\/2 (d) 1\/23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -106 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/6 + (-1)\/2. Find the common denominator of (2 - 27\/(-6)) + y and 29\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -562051 - -25?\nAnswer: -562023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -10211 (base 3) to base 14\nAnswer: -75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7696, -7443, -7190?\n\"Answer: 253*x - 7949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 193163 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 3)*(-5 + 5 + 1)*(2 + 2*t**2 - 2).\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + (-10)\/(-4) + (-3)\/6. Suppose -5*c + 75 = -5*m, -3*c + 60 + 25 = -5*m. Let t be m*((6 - 5) + -2). Solve -z + w*z = -t for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(144\/51) + 0 + 3?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 185963?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31863, 127472, 286825, 509922, 796763?\nAnswer: 1147348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1853180, -3706362, -5559544?\n\"Answer: -1853182*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 4 = 0, -4*u - 35*q = u - 9*q - 84 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -5, 6.\nAnswer: -5, -3, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-6))\/((-1)\/(-15)). List the prime factors of (3 - t) + (30 - 2).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-15 - -41) + (8 + -10 - 14)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78 = 5*r + 5*m - 4*m, -5*r - 5*m + 70 = 0. What is the remainder when 31 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*d + 8. Let l be (-8)\/(-2)*d\/6. Is 24 a factor of (-2428)\/(-28) - l\/(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/10*310\/1302?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -216, -434, -678, -960, -1292?\n\"Answer: -2*s**3 - s**2 - 201*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -109481 + 109480.88. Let q = -13 - -18. What is the biggest value in -3\/7, q, t, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (66\/77)\/(6\/112). What are the prime factors of (4108\/z + (-2)\/(-8))\/1?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25342 is divided by 12662?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 96923\/89 + -1089. Are o and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 13 = 3*d, -104*d + 4*m = -105*d + 13 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**6\/120 - c**5\/4 + 11*c**4\/12 - 5*c**3\/3 - 3*c**2 - 1644*c. Determine w(14).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/(-4*3\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1187*s**3 + 3851*s**3 - 1334*s**3 + 4*s - 4*s - 1344*s**3.\nAnswer: -14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -0.0421 (b) 0.4 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 23725766.\nAnswer: 2, 43, 275881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 11:15 PM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.1 (b) 14 (c) -0.094 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12826 - (-14)\/((-28)\/(-18)). Suppose -8*w + v = 2971. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19\/12 or 3?\nAnswer: 19\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 173 = -0*g - 5*g, 0 = -2*g + 2*w + 68. Let q = -19 + g. Calculate the lowest common multiple of q and -1 - 3\/((-12)\/92).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/7 (b) 4.4 (c) -0.2 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -6. Suppose 0 = -2*s, 0 = -7*n + 5*n - 3*s + 32. Let v = h + n. Calculate the smallest common multiple of v and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 1\/2 (c) -1\/4 (d) 3 (e) 0.8 (f) -2\/5 (g) -15314\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25 (base 8) to base 13.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of -7*m**4\/12 - m**3 + m**2 - 345*m. Determine f(-3).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -4*b + 5*c + 41, 2*c = -2*b + 3 + 25 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c + 13 - 17 + 4.\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7827 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 990351905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.60272 tonnes in micrograms?\nAnswer: 18602720000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -u**2 - 12*u - 5. Let k = -58 - -50. Calculate d(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -4 in descending order.\nAnswer: 5, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -14 + -11 - ((-16 - 0) + -2) - -55.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/4893 and 97\/70.\nAnswer: 48930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3405 + 37467\/11. Suppose -j = 5*h + 20, -11 = -2*j + 5*h + 9. Which is greater: j or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -4, -41, -5, -1, 2, 3.\nAnswer: -41, -5, -4, -1, 2, 3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/6 and -125\/858.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*a + a**2)*((-2 - 5 + 4)*(a**2 - 4*a**2 + a**2) + 3 - 3*a**2 - 3).\nAnswer: 3*a**4 + 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -17 - 2691483\nAnswer: -2691500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 + 0*l**2 - 7*l**2.\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*g + 958*g**2 - 960*g**2 + 925*g**3 + 930*g**3.\nAnswer: 1855*g**3 - 2*g**2 + 15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11342 or -11343?\nAnswer: -11342","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -41*f - 5*f - 49*f - 99*f - 125*f in the form n + b*f and give b.\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/549, -7043, 2\/9, 2 in decreasing order.\nAnswer: 2, 2\/9, 4\/549, -7043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*a**2*k*s - 2*a**2 - a*k - a*s + 2*k*s - 26*s wrt a?\nAnswer: 14*k*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -4*m + 14. Let n(t) = -t + 3. Let y(s) = -s - 20. Suppose 2*w - 4 = 12. Let k be y(w). What is k*n(b) + 6*d(b)?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1565 + 1033. List the prime factors of 2\/9 + p\/(-36).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1358\/9 - -12689\/90. What is the common denominator of 73\/16 and p?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 69*m**2 - 25*m + 1715. What is u(69)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2129587?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((27\/(-3))\/9)\/((-2)\/(-10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*f**5*f)\/f)\/(f**(-7)*f*f)*f**(4\/11)\/((f**6\/f)\/f) assuming f is positive.\nAnswer: f**(92\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29866055?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3243b (base 12) to base 13\nAnswer: 24230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 4*j**5 + 40*j**4 + 64*j**3 = 0.\nAnswer: -8, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 1, 17, 0, -6 in ascending order.\nAnswer: -6, -2, 0, 1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.518406s in milliseconds?\nAnswer: 1518.406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i - 1. Let u(b) = -6*b - 1. Let q be (44\/(-6) - -2) + (-9)\/(-27). What is q*a(m) + 6*u(m)?\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 95 and 173109?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 0)*(44 - 23 - 4*y - 26)*(y + 0*y + y) to i + c*y + p*y**2 and give p.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 1233?\nAnswer: -986.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1866679?\nAnswer: 1866679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -18*u**2 - u + 2. Let b be s(-3). Find the common denominator of 50\/3 and b\/14 + 8\/(-28).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3 - (-1580)\/(-2607)\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1005845664 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*p + 15689 = -17773. Calculate the remainder when p is divided by 73.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 240 - 162. Let p = z + -18. Calculate the highest common divisor of p and 330.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232811041 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*(-1*1 + 127336\/127248). Is -1 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.1 + 1. Let f = -3.987 + -0.013. Put k, f, 0.3 in descending order.\nAnswer: 0.3, k, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the second derivative of n**5\/10 - 5*n**3\/6 - 18*n. Find the second derivative of o(z) wrt z.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -110704947*p**3 + 17215072 wrt p.\nAnswer: -332114841*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 35234*k**2 + 10*k + 1329?\nAnswer: 70468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11320 divided by -3?\nAnswer: -11320\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6 + (11 - 1755\/105). Suppose 0 = o + 3*y - y + 4, 3*y = 2*o + 36. Let j = -25 - o. Is v at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14257?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 70639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -152154 + 22293 = -9*d. What are the prime factors of d?\nAnswer: 47, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -650 - 223004?\nAnswer: -223654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (33 - 41) + (-24)\/(-2). Suppose -20 = -4*q - 3*g - g, 2*g = 6. Suppose -148 = -b*a + q*a. List the prime factors of a.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1692615 or -1692617?\nAnswer: -1692617","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1678564?\nAnswer: 2, 139, 3019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 4*v - 10. Let p be 0\/(2 + 12\/(-2)). Solve v*t + 4 = -y - p, -y = -1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 290 (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -16c + -3?\nAnswer: -16f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 37*k**2 - 34*k + 106. Let s(t) = 20*t**2 - 17*t + 54. What is 11*s(d) - 6*w(d)?\nAnswer: -2*d**2 + 17*d - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1535055 to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 8*z + 130. Let x(i) = -i**2 + 33*i - 228. Let s be x(z). What is the nearest to 2\/5 in 0.2, 1.4, -3, s?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.05 (b) 1\/2 (c) -5 (d) 2 (e) 0.374\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -4*l**3\/3 + 10. Let k(a) = 7*a**2. Give x(k(r)).\nAnswer: -196*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 122170386.13 and -0.5?\nAnswer: 122170386.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 + (-2 - (-2 - -8)) - 12) + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20 and 135.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592801?\nAnswer: 11, 53891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2. Let m(y) = 102317*y. What is m(b(q))?\nAnswer: 409268*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, y: 1, j: 3, f: 3}. Give prob of picking 1 f and 1 y.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 58023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 177 - 175. Suppose -5*r + 30 = 5*d - 185, 0 = 3*d - f*r - 114. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 (base 5) in base 11?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3\/8 (b) 388 (c) 2\/1135\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 5:41 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dz when two letters picked without replacement from {z: 3, c: 1, d: 2, s: 4, m: 2, g: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*y = 39*y + 235. Let s be (2 - -1 - 1) + (-423)\/y. What is the greatest common divisor of 1397 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 8*n**4)*(486 + 13*n - 26*n + 12*n + 4*n + 517).\nAnswer: 24*n**5 + 8024*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-21)\/(x*x*x\/x**(2\/3)) assuming x is positive.\nAnswer: x**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03038887 and 0.5.\nAnswer: -0.015194435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73*g + 5*g = 264*g. Find v such that 60\/7*v + 2\/7*v**5 - 38\/7*v**3 + 2\/7*v**4 + 22\/7*v**2 + g = 0.\nAnswer: -5, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 + 8*p + 3. What is the smallest common multiple of 3 and w(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -134, -196, -282, -392?\nAnswer: -526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530 a factor of 158145390?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*o = r - 52*o + 7, -2*r + 16 = -5*o for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -42, -487, -1698, -4059, -7954, -13767, -21882?\n\"Answer: -64*z**3 + z**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11357958, 45431826, 102221606, 181727298, 283948902, 408886418, 556539846?\n\"Answer: 11357956*b**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, 60, 130, 206, 288, 376, 470?\nAnswer: 570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*n - 170*n = -324*n - 13800. What is the greatest common factor of n and 414?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -300*o**2 + o + 5. Let v(w) = -w - 11. Let r be v(-7). Let a be n(r). Let m be (2 + -4 - -1) + a. What is m rounded to the nearest one thousand?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1321\/2 - 628. Calculate the common denominator of n and 47\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -u - 1, -3 = -3*b - 3*u - 0*u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 90581 + -1250581. Round z to the nearest one million.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 (base 8) in base 2?\nAnswer: 101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 6:43 PM?\nAnswer: 9:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 125126 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_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: Round 0.00000368726801 to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6564*3.\nAnswer: 19692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11514 and 513?\nAnswer: 103626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -231 and 0.1.\nAnswer: -23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + -23. Let r(b) = -4*b**2 + 6*b + 44. Let z be r(0). Let s = z + c. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 AM and 6:01 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 4:59 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*c + 426 = 41*c for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 + a + 13. Let w be n(0). Suppose 8*o - w*o = 5. Let p be 2\/(o\/(6\/(-4))). Solve -j + p*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 58285006 + -1?\nAnswer: 58285005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 444*h**2 - 491*h wrt h?\nAnswer: 888","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.1+-40696547\nAnswer: -40696548.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2959*g**2 - 89617*g + 5 + 89620*g - 5 to the form c*g + h + f*g**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 12 = -6*j, 2*s + j - 12 = 0. Suppose s*w - 29 = 55. Suppose 11*a - 15*a = -32. Calculate the remainder when w is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -135 (base 10) to base 15.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 83*y**3 - 42*y**3 - 106*y + 97*y - 39*y**3 + 70 to the form a*y + s*y**3 + o*y**2 + x and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 87757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 205*z**2 + 28*z + 13. Let k(a) = 2*a. Calculate n(k(b)).\nAnswer: 820*b**2 + 56*b + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 12*q**5 - 6*q**4 + 6*q**2 + q. Let x(f) = -13*f**5 + 7*f**4 - 7*f**2 - f. Let m(z) = -7*d(z) - 6*x(z). Find the second derivative of m(s) wrt s.\nAnswer: -120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l**2\/5 + 44*l\/5 - 30 = 0. Calculate l.\nAnswer: -25, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -195+-1440604\nAnswer: -1440799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 4*b - b**3 + 2*b**3 - 12 - 17*b + 11*b**2. Let l be x(-11). Suppose -2*i = 5*w + l, 0 = -2*w - 2*i + 1 - 5. Put w, 0, -9 in descending order.\nAnswer: 0, w, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -2*c**3 + 25*c**2 + 297*c + 50. Calculate w(20).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 8*f - 10. Determine x(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -w**4\/7 + 72117288*w**3\/7 - 1733634409491648*w**2\/7 + 13891667999557679156736*w\/7 = 0?\nAnswer: 0, 24039096","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, z: 3, q: 1, u: 5}. What is prob of picking 1 u, 1 t, and 1 q?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55847 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: Collect the terms in -916*o**2 + 388*o**2 + 507*o**2.\nAnswer: -21*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 42 times 76\nAnswer: 3192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1294d2 (base 15) in base 10?\nAnswer: -892097","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, 0.022055, 1\/5, -0.4 in descending order.\nAnswer: 1\/5, 0.022055, -0.4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the first derivative of -d**2\/2 + 3. Let j(z) = z**2 + 3*z. Let r(h) = 8*h**2 + 20*h. Let p(n) = -20*j(n) + 3*r(n). Determine p(c(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 251775800?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123184 is divided by 1384.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-w + 0*w + 5*w)*(4*w - 3*w**4 - 4*w) + 2*w**5 + 0*w**5 + 0*w**5 + (w**2 - 4*w**2 + 5*w**2)*(w**3 - 2 + 2).\nAnswer: 28*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xcccbxcccrbxtbbc. What is prob of picking 1 t, 1 b, and 2 x?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13*48\/27144)\/((20\/12)\/(-5)).\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212222120012 (base 3) in base 7?\nAnswer: -11346461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 2 = 3*b. Let n = 615 + -536. What is the remainder when n is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, l: 3, p: 2, n: 3, j: 3, y: 2}. Give prob of sequence ll.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -3483625 to the nearest one thousand.\nAnswer: -3484000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75582.\nAnswer: 2, 3, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 37, 5, -19, -35, -43, -43?\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3453632936?\nAnswer: 2, 13, 33208009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4746, 44, 7, 1, -3.\nAnswer: -5, -3, 1, 7, 44, 4746","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24587 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -7*w**4\/24 - w**2 + w - 479. Let y(u) be the first derivative of 1\/3*u**3 - 3 + 0*u + 0*u**2. Give o(y(d)).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2*sqrt(2057) + sqrt(2057) + -1)**2*1 + (4 + 0 + sqrt(1700) - 4*-2*sqrt(1700))**2.\nAnswer: 390*sqrt(17) + 156254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + a + 12 = 0. Suppose -32 = -a*s + 40. Let x = 7 - -3. Calculate the least common multiple of x and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 47290775?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -34 + 96c?\nAnswer: 938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90965 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1366, 1483, 1602, 1723, 1846, 1971, 2098?\nAnswer: 2227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k + 13*k - 2*k - k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 + 32*s. Let o(l) = -l**2. Calculate o(g(t)).\nAnswer: -4*t**4 - 128*t**3 - 1024*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15.274 - 2154\nAnswer: -2138.726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 10*s**2 + 10. Suppose n + 40 = -3*y - 0*n, 40 = -2*y + 2*n. Let l = y - -25. List the prime factors of r(l).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41 (base 8) to base 10.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 18 = -2*w, -7*w = -12*w - 4*g + 25 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251050 is divided by 480?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151692729?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -1 - 2. Let t = -297 - -5641\/19. Is h not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12540 and 399000.\nAnswer: 4389000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q = 5*a - 0*a, 0 = q + 2*a. Solve q = 5*n - n + 16 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-3) + (0 - -1). Let n be a\/14*56\/(-70). Suppose 3 = 2*k + 1. Which is smaller: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3 + -0.5. Let a = -3706 - -3681. What is the closest to 0.1 in 2, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y**2 - 5*y + 3. Let c(a) = -2*a**2 + 6*a - 4. What is 2*c(d) + 3*m(d)?\nAnswer: 2*d**2 - 3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2322 and -79\/34.\nAnswer: 39474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148*l + 948 + 1 + 827 = 0. Solve t + 5 = -3*o, 9*o = l*o - 3*t - 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -10*p + 31. What are the prime factors of q(-6)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557179597 plus -20688?\nAnswer: 557158909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5 = -4*v, -3*v = 4*i + v + 8. Does 2 divide (-1 + i)*(-12)\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 27 and 19328889?\nAnswer: 173960001","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21146?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2865)\/(-315) - 9)\/(10\/14). What is the second smallest value in -3, 20\/3, 3\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592) - (sqrt(2592) - sqrt(2592)*-2))*-3.\nAnswer: 216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*4*(sqrt(931) - (-1 + sqrt(931) - sqrt(931)))**2*-3.\nAnswer: -44738 - 672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18913637100 rounded to the nearest one million?\nAnswer: 18914000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -21 and -52.393.\nAnswer: -73.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.43 + 0.57. What is the biggest value in f, -7\/5, -0.1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -13578?\nAnswer: 54312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 30716071 plus 5.43?\nAnswer: 30716076.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 + -15217?\nAnswer: -15210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2787118783?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 682?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, 3, -0.196, -5?\nAnswer: -0.196","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - 74*c = 305 + 1841 for c.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 4*i - 5. Let b be n(4). Suppose b = 2*v - 4*s + 1, -v + 5*s + 8 = 0. Solve -3*g + v*h = 0, -5*g = -2*h - 0 + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -213266 - -213262. Let k(j) = -j**2 - 2*j + 3. Let n be k(2). Sort 49, n, d in increasing order.\nAnswer: n, d, 49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3677\/5 - -736. Which is the closest to 12? (a) -5 (b) h (c) -4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1888990 divided by 43\nAnswer: 43930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.34, 0.4, 5.2, -5, 1.1717?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -28 and -75 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7038 and 70584?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by 64?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 11) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 121 - 33. Suppose -z*u - 18 = -25*u. Solve g - 3*g + 4 = -2*k, -3*g + u = -k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-12)*-1*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-6)*(j*(j**(-1)\/j)\/j)\/j)**(-8)\/((j**(-1))**(16\/3)\/(j**3\/j*(j*j**(-4))\/j*j)) assuming j is positive.\nAnswer: j**(-83\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1769?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -500 - -732. Let k = 232.0000127 - q. What is k rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 167 divide 150244222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w + 2*w - 6*w + 2*w - 6*w + 2*w + (-4*w + 6*w + 0*w)*(-16 - 23 + 1))*(-14*w - 4*w**2 + 14*w).\nAnswer: 316*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1693.3333963 - -1.8528037. Let g = 1695 - h. Let z = g + 0.19. Round z to four decimal places.\nAnswer: 0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48779, 48780, 48781, 48782, 48783?\nAnswer: 48784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -19*d**2 + 7*d - 6. Let a(v) = 20*v**2 - 8*v + 7. Let s(t) = -6*a(t) - 7*z(t). Suppose -3*r + 522 - 525 = 0. Calculate s(r).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -78, 124, -522?\nAnswer: -522","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 277 - 274. Suppose -7*c + 3*c = -16. Suppose -c*m + 3 + 9 = 0. Solve 2*g - x - m = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**4)**(34\/3)\/(w**(-1\/4))**(1\/30) assuming w is positive.\nAnswer: w**(-4079\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/9 and 25\/6033.\nAnswer: 18099","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/26 (b) -11 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.967694 to 1 dp.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 16) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**3 - 4*a**3 + 13*a**2 - 5*a**2 + 0*a**3 - 6. Determine o(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 + 9. Let j = -43 - -49. Solve f = 0, -p*f + f + j = -2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/12 and -35\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28577 is divided by 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1729 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/144 and 103\/180?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 148 - 91. Calculate the remainder when r is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4294510?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2367037852.\nAnswer: 2, 37, 15993499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100 is divided by 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31606039?\nAnswer: 41, 181, 4259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -74.12 + 2?\nAnswer: -72.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22919 + 33726. What is the hundreds digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1390 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10319, -41269, -92845, -165041, -257851, -371269, -505289?\nAnswer: -659905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/11)\/((w\/(w\/((w\/((w**(-20)*w)\/w))\/w)))\/w) assuming w is positive.\nAnswer: w**(-211\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 480576119 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(3 + (-4*2*sqrt(11) - sqrt(11))*2 - (-4*sqrt(55)\/(sqrt(25)\/sqrt(5)) + -3)).\nAnswer: -70*sqrt(11) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 5*d - 66, 22*d = 5*h + 17*d - 70. Suppose h*g - 208 - 64 = 0. Calculate the remainder when 136 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 88 + -88. Suppose l = j + 5*x, 2*j - 20 = -j + 5*x. Solve j*f = 3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8864 + -8869. What is the fifth smallest value in 1\/3, 0.13, u, -4, -3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-25)\/(-575)*253\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 902?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/1)\/((378\/(-35))\/27)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 27*w - 28*w - 6 = 0, 3*i = 3*w + 18 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 28*s**2 - 33*s + 128. Let w be q(29). Suppose -w*u = -u - 42097. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -94513, -94511, -94535, -94597, -94709?\n\"Answer: -2*u**3 - u**2 + 19*u - 94529","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -18*a + 18. Let t(y) = -y**2 - 24*y - 122. Let h be t(-8). Let l(j) = -j**2 + 1. Let r(q) = 2*q**2 - 2*q - 6. Give a*r(v) + h*l(v).\nAnswer: -4*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(-20)\/765*(-9)\/(-6)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 33\/(-12)) + -3. Which is smaller: z or 24?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6084*u**5\/5 + 109824*u**4\/5 - 2720012*u**3\/5 - 139704*u**2\/5 - 1792*u\/5 = 0. What is u?\nAnswer: -32, -1\/39, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20.49 - -0.51. Let j = z - 12. Which is smaller: j or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u - 8843639 + 8843639. Suppose -g + 8 = 3*g. Let x(k) = k**2 - 12*k**2 + 0*k**g. What is x(z(l))?\nAnswer: -99*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by -3324\nAnswer: -5\/1108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -445923 - -642037. Suppose -2*d - 56114 = -g. Round d to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -246\/35 - -52\/7. Let t = 10.8 - 5.8. Put t, -2, y, 3 in ascending order.\nAnswer: -2, y, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2324, -3, 8, -4.\nAnswer: -4, -3, -0.2324, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 180837\/5 - (-112)\/(-280) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*p**3 + p**2 - 2628*p - 27390343.\nAnswer: 75*p**2 + 2*p - 2628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 507939?\nAnswer: 3, 169313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 8*x. Let s(c) be the first derivative of 2 - 3\/2*c**2 + 0*c - 5\/8*c**4 + 0*c**3. Let l(z) be the second derivative of s(z). Give 11*h(n) + 6*l(n).\nAnswer: -2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 706*z + 707*z = 17, 0 = 4*g + 2*z - 34 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 203 + -200. Solve -d + b = 3*d + 5*c, -5*d + 4*c - 27 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:59 AM?\nAnswer: 2:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -1100111101000?\nAnswer: 1100111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(847) + -1) - (sqrt(847) - -1*sqrt(847)*-3))*-1)**2 + 4.\nAnswer: -528*sqrt(7) + 30512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 354*c**2. Let x(i) = -8565*i. Calculate x(g(d)).\nAnswer: -3032010*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 10, w: 4}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g. Let j(t) = 102*t - 51. Calculate j(y(c)).\nAnswer: 102*c - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 53 + 83 - 112 - (0 + -26).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4063300 is divided by 38333.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3905010 and 84.\nAnswer: 54670140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 90350*t**5 + 11703*t**2 - 22. Let b(l) = 12907*l**5 + 1672*l**2 - 3. Let q(p) = -22*b(p) + 3*x(p). Find the third derivative of q(r) wrt r.\nAnswer: -774240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662068.9 years in centuries?\nAnswer: 6620.689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1354*g - 8*g**2 + 1354*g + 1 + 15*g**2 + 9*g**2.\nAnswer: 16*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, p: 5, b: 7}. Give prob of picking 1 b and 1 x.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 709 a factor of 829240019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4297, 4122, 3841, 3454, 2961, 2362, 1657?\n\"Answer: -53*s**2 - 16*s + 4366","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*q - 312. Is q a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*a - 0*a + 2*y, -2*a = 4*y - 4. Factor -v**a + v + 4*v**2 - v**2 - 70 + 68 - v**3.\nAnswer: -(v - 1)**2*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 56*z + 617. Let o be a(80). Is o smaller than 5097?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-62)\/(-14) + 4\/7. Let l = -5355 + 5363. Solve -l = -o*j + 17 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1 and ((60\/8)\/(-5))\/(6\/(-8)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 546 and 3276?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 280 + -102. Calculate the remainder when l is divided by 46.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -302982*o + 3*o**2 - o**3 + 302984*o - 4*o**2 + 2 to f + k*o**2 + c*o**3 + u*o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 14971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 2)*(-17 + 44*s**3 - 22*s**3 - 21*s**3).\nAnswer: 3*s**3 - 51","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-6)*0 + (-5 - -8). Suppose p*q + 3*j - 71 = j, 4*q + 3*j = 94. Suppose k - 6 = q. List the prime factors of k.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5 - 5815*l**4 + 46478*l**3 - 127778*l**2 + 139377*l - 52263 = 0.\nAnswer: 1, 3, 5807","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*n - 12. Suppose 4*m - n*y = y + 591, 4*y = 3*m - 443. Suppose 0*f + 276 = 3*f - 3*r, 2*f - m = -5*r. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6.95 - -0.5.\nAnswer: -6.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2007446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 17\/6*h**3 + 0*h**2 + 0*h**4 - 5*h + 0 + 11\/20*h**5. Let c(x) = -4*x**3 - 6*x. Determine -17*c(t) - 6*n(t).\nAnswer: 2*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -8799*n. Let c(u) = 3*u**2 - 36*u. Determine a(c(f)).\nAnswer: -26397*f**2 + 316764*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*c + 21392 + 48882, 5*c = -t + 17596. What are the prime factors of t?\nAnswer: 3, 5857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 26. Calculate the remainder when 28 is divided by y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 14*m**3 - 4*m**2. Let i(k) = -27*k**3 + 6*k**2. Calculate -2*i(d) - 5*v(d).\nAnswer: -16*d**3 + 8*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -t**2 + 3*t**2 - 6*t**2 - 2*t**2 - 3*t**2 + 4*t**2 + (-t + 4*t - 4*t)*(5*t - 2*t - t) - t**2 - 2*t**2 + t**2 + 3237*t + 172*t**2 - 3237*t.\nAnswer: 163*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 6, 39, 13, 27, -7 in descending order.\nAnswer: 39, 27, 13, 6, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.01 (b) -4 (c) 0.257 (d) 0.03 (e) 3\/5 (f) 4 (g) -5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7}. What is prob of sequence xxx?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -12 - 15359*x**2 + 7683*x**2 + x**3 - 29*x + 7682*x**2. What is m(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-388698)\/(-42) - (-3 - -6)*(-20)\/210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.021635 rounded to 3 dps?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 164, 619, 1588, 3263, 5836, 9499?\nAnswer: 14444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 107993811.\nAnswer: 3, 1237, 29101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggqqggqqgggqgggqqg. Give prob of picking 2 q and 2 g.\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (0\/13 + -15 + 22).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 0 = -k + 7, 11 = k - 5*l. Let j(n) = n**3 - n**2 + n + 1. Let m(d) = d**3 + 2*d + 2. Determine k*m(v) - 2*j(v).\nAnswer: -v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -10. Is 5 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**6\/36 - 7*l**4\/24 + 7*l**3\/6 + 9*l. Let b(y) be the second derivative of d(y). Find the first derivative of b(j) wrt j.\nAnswer: -20*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101, 211, 325, 443, 565, 691?\nAnswer: 821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**4 + 8*r**3 - 22*r**2 + 12*r = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-4)\/10 + -2)*1 + 2. Let v = -13\/20 - t. Which is the closest to v? (a) -3\/7 (b) -3 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-541)\/(-7) + (-20)\/70 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -659.41 - -664. Let s = m + -4.5899001. What is s rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3839492*u + 5109216?\nAnswer: 3839492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 6. Let f = -144 - -146. Solve -f*o - j = -0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 7) to base 2.\nAnswer: 110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7127 take away -872.8?\nAnswer: -6254.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((40976\/39)\/16)\/((-1)\/(-69)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 962 = 4. Is 46 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**8\/336 - c**7\/210 - c**6\/40 + c**5\/60 + c**4\/12 - 22*c**2. Let s(q) = 0. Calculate q.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 189, 481, 891, 1419, 2065?\nAnswer: 2829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-8) + (-56040)\/(-192). Suppose 13*s = 18*s - 2*k - 293, 0 = -5*s + 3*k + o. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-414))\/((-107)\/(13161\/205)).\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 10 = -f. Let z(h) = -13*h**2 - 4*h - 9. Let l(y) be the second derivative of 4*y + 0 + 1\/4*y**4 + y**2 + 1\/6*y**3. Determine f*l(i) + 2*z(i).\nAnswer: i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/891 and -71\/486.\nAnswer: 5346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4054 is divided by 71?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-5) + 0 + 2. Suppose -6*a + 2*a = -r*s - 18, -4*s = a + 6. Is 890\/4 + s\/(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 7*a**2 + 2*a. Let m be s(-5). Let i = m - -212. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 418\/(-28) - (-192)\/33152*74\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 73140575 + -5?\nAnswer: 73140570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29966440?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*r + h, r = -5*h + 8*h - 4. Let g(d) = 7*d**2 + 9*d - 17. Calculate the remainder when g(r) is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -4, 3, 1\/4, 41 in decreasing order.\nAnswer: 41, 3, 1\/4, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 31.301 (b) 2\/15 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -12. Let v(s) = 49375*s**2 + s + 4. Let n be v(g). What is n rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11911 and 83383\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 149 - 89. Suppose 4*s - l - 496 = -5*l, 3*s = -4*l + 375. Let t = s - w. Is 16 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22293 + -22307. What is the second biggest value in 5, a, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 + 11*f**2 + 19*f - 3. What is k(-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 2*h - 1923. Give n(38).\nAnswer: -3291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/127 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 12:09 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 38142023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -5*o + 277. Suppose 5*q = -6 - o. Find the common denominator of (q\/18)\/(2\/(-6)) and 61\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b + 7. Let q(d) = d**2 + 93*d - 812. Let o be q(8). Let i(x) = -4*x + 7. Calculate o*i(w) + 5*a(w).\nAnswer: w + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -34. Suppose i*f = f + 20. Does 6 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-201 - n + 126 - 125)*(0 + 0 - 4).\nAnswer: 4*n + 800","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 8*p - 2 - 4*p**2 + 2\/3*p**3. Suppose l(g) = 0. What is g?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -911087 <= -911085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -66*c**3*l - 45*c**3 + 13767*c**2*l + 2*l + 11493 with respect to l.\nAnswer: -66*c**3 + 13767*c**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14390 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = -5*k - 7*i - 3, -5 = 3*k + i for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5448 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3799364267 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 2*t**3\/3 - 13235. Let y(l) = 4469*l - 328. Let p(s) = 41*s - 3. Let n(a) = 328*p(a) - 3*y(a). Determine g(n(i)).\nAnswer: 3362*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 11960000 to the nearest 1000000.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3915 divided by -3.\nAnswer: 1305","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 184518219 to the nearest integer?\nAnswer: 13584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6415 and -354.92.\nAnswer: 6060.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**2 - 4*z\/9 = 0 for z.\nAnswer: 0, 4\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the second derivative of -h**4\/24 + 3*h**3\/2 - h**2\/2 - 2*h. Let z(b) be the first derivative of y(b). What is the units digit of z(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 63824*p**4 + 94573*p wrt p.\nAnswer: 765888*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*v + (2 + 2*v - 2)*(2 - 1 + 1) - 10*v + 20*v + 14*v.\nAnswer: 30*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494 is divided by 24?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 4*y**2 - y + 4. Let o be d(4). Suppose -2*r - 171 = -5*u, o = 4*r - 0 - 8. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 20. Determine s(-2).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -11530*v**3 - 253665*v**2 - 110*v = 0?\nAnswer: -22, -1\/2306, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -76*t**2 - 35805*t - 4163. Give p(-471).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/460332 and 70\/513.\nAnswer: 1380996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 775746057970\/4151 - 186881722. Let a = 3\/8302 - u. Calculate the common denominator of a and -1*((-94)\/(-4))\/1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -3 (c) -0.1 (d) -0.4 (e) 2\/5 (f) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-4 - 98 - -5) - (-4 + -1 + 2).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5\/2 (b) 2 (c) -0.999 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 1 = -3*l, -2 = -0*l + l - f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of -48*(25 - 1375\/15) and 8?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 28\/6*(20\/8 - -5). What is the highest common divisor of w and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63360 (base 7) in base 13?\nAnswer: -715b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - 15 - 21 = 0. What is the remainder when x is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -12*r - 7. Let a be z(-4). Let k = -31 + a. Suppose -5*p + k = -3*q, -5 = -3*p + 4*q + 1. Solve 0 = -p*w + 6*w + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1146447, 1146427, 1146405, 1146381, 1146355, 1146327, 1146297?\nAnswer: 1146265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*w**2\/2 - 24235*w\/2 + 2693.\nAnswer: -(w + 2693)*(9*w - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q = 2*s - 14*q - 14, -5 = s - 3*q for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**5\/40 - s**4\/12 - 21*s. Factor p(z).\nAnswer: z**2*(z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -685 - -985. Let d be (-12)\/(-42) - 24\/(-14). Suppose r = -d, 5*v + r + 32 = m. Does 9 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.6 + 0.8. Let k = i - -0.1. Let d = k - 3. Which is the closest to 0.3? (a) 0.4 (b) -3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u**2 + 264*u + 55556. What is x(187)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68553 by 4.\nAnswer: 68553\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1344 + -791. Let b = 1190 - r. List the prime factors of b.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12024 - 2412210?\nAnswer: -2400142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*u + u - 3*u)*(0 - 1 + 3) - 197*u - 926 + 926)*((2 - 2 - 7*u**3)*(2 + 0 - 1) + 2*u**3 + 2*u**3 - 5*u**3).\nAnswer: 1544*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a**2 + 1. Let i(b) = 2*b**2 + 1. Let r(x) = 4*x - 1. Let l be r(-1). Let u(q) = l*i(q) + 3*s(q). Differentiate u(g) with respect to g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(343))**2*6 + (sqrt(14)\/(sqrt(2) + sqrt(10)\/sqrt(5)))**2 + -3 + -2.\nAnswer: 8203\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1099?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 272\/78 - 60\/18?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2556*a**3*x + 29*a**3 - 497*a*x + 867715383*x wrt a.\nAnswer: 7668*a**2*x + 87*a**2 - 497*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 705 - 14809\/21. Which is the closest to 0.1? (a) 1 (b) 0.4 (c) z (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*t = -2, -2*t + t + 5 = 4*c. Solve c*v = 5*v - 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*z = -3*a - 22, 5*z = a + 29. Let m(h) = 3*h - 7. Calculate the remainder when m(z) is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 + d. Let h be o(-4). Suppose -3*r - h = y - 3*y, 0 = -5*y + 2*r + 8. Let s = 2 + y. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -196, -446, -816, -1318, -1964?\nAnswer: -2766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*-92.9\nAnswer: 185.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 276784*m - 11628456.\nAnswer: 2*(m - 42)*(m + 138434)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q + 0*q + q - 29 + 109. Let i(y) = 2*y**2. Calculate i(w(s)).\nAnswer: 18*s**2 - 960*s + 12800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amqamomqdaqmq. Give prob of picking 1 a and 1 m.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -130610057.\nAnswer: -4\/130610057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 11150000 to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -2.8. Let g = 0 + c. Let k = -0.26 + 0.06. Sort -2, k, g.\nAnswer: -2, k, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 - -88. Let t(r) = r - 4*r**3 - 1129 + 1130 - r**2 - 4*r**2 + 4*r**l. Calculate t(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 809, 760, 671, 536, 349, 104, -205, -584?\nAnswer: -1039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -0.003 in descending order.\nAnswer: 5, 4, -0.003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -73 + -0.183412.\nAnswer: -73.183412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151138 is divided by 50344.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (-1 + 2 - 11 - (0 - (-22 + 34)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1480488 by -61687.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**3*f**2 - 545*c**3 - c**2*f**2 + 184*c*f**2 + 12*c*f wrt f?\nAnswer: -2*c**3 - 2*c**2 + 368*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - o = -5*o + 3, -5*o - 9 = -3*t. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5147 divided by 12.\nAnswer: 5147\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -156.346656 take away 0.5?\nAnswer: -156.846656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8800 divided by -5\nAnswer: -1760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -21.1, 128136, 4\/3, 1, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/4? (a) 19 (b) -2 (c) 0.06 (d) 61\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -5023 in descending order.\nAnswer: 1, -3, -5023","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -l + b, -7*l = -2*l + b + 164. Is (6 + -9)\/(9\/l*1) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 136 and 510?\nAnswer: 2040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1551 + -11?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -3)\/((-3)\/(-30)). What are the prime factors of (-216)\/o + 3\/(-5)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/420 and -89\/102.\nAnswer: 7140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the third derivative of 0*i**3 + 0*i**4 - 5*i**2 - 1\/30*i**5 + 0*i + 0. Let l(g) = 2*g**2. Calculate p(l(k)).\nAnswer: -8*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 12 = 5*m. Suppose 928 = m*a + 310. Suppose 0 = c + 49 - a. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4584 (base 9) in base 15?\nAnswer: -1017","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -133 + 42*s**2 + 31*s**2 - 4*s - 72*s**2. Determine f(13).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 1, 5\/3, 18\/19, 21?\nAnswer: 18\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39137383?\nAnswer: 17, 149, 15451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2153 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(-6*sqrt(304) + 0 + 1 + sqrt(19)))**2.\nAnswer: -1507800 + 6900*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 920173.\nAnswer: -3\/920173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1177 is divided by 328?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 5) + 12\/2. Suppose -108 = -4*l - w - 3*w, 0 = -t*l + w + 65. Let h = l + -12. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 41 + -141?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3*s + 5 = 0. Suppose 0 = 2*d - s*d + 9. Let a(r) = r**2 - 41*r - 126. Let b be a(-3). Solve w - d = 3*v, b*v = 4*v - 4 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -41255497 < -41255496?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.43, 4\/7, -8.3, -0.1, -1\/8, -7, -1?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -208b09b (base 12) to base 15\nAnswer: -819458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 5427.9?\nAnswer: -5432.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1259, -5048, -11363, -20204, -31571?\n\"Answer: -1263*o**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -43606.63 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 36, -5.\nAnswer: -5, 4\/3, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7485961?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3454 divided by -2?\nAnswer: 1727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -607*o**8\/28 - 767*o**4\/6 - 1828*o. Find the third derivative of u(f) wrt f.\nAnswer: -145680*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(((-9)\/12)\/(-3)). Let m = 0 + n. Sort -5, -4, m in ascending order.\nAnswer: -5, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 28*v**2 - 30*v**2 + 3*v + 2 + (2*v + 2*v - 2*v)*(4*v - v - v).\nAnswer: 2*v**2 + v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 2914*q + 229470. Calculate g(81).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -2.3352282 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1461010 is divided by 638.\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1175467 to the nearest integer?\nAnswer: 1084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -332 + 943. List the prime factors of o.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.5 (b) 2 (c) -6\/467 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o**2 - 4. Let j(y) = 15*y**2 + 17. Calculate -6*j(h) - 25*r(h).\nAnswer: 35*h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/4)\/(((-51)\/36)\/(-17)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06 - 95729221.\nAnswer: -95729221.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + 0.2. Let s = -187.855 - -188. Let h = -0.255 - s. Which is the second smallest value? (a) i (b) 4 (c) h (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2395565?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1732 and 1268.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-99)\/(-11) + (-11 - -10).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -955 + 1497. Is u > 542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 5*w - 5*w)*(-491*w - 249*w + 12*w).\nAnswer: 1456*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -30*l**2. Let b(i) = -1045*i. Determine j(b(q)).\nAnswer: -32760750*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 72 + -6 + 3. Suppose 65*k - 245 = c*k. What is the closest to 0.1 in 1\/2, k, -4\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjxjgnj. What is prob of picking 1 j and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12 - 11.92. Let x = -0.42 - d. Which is the third smallest value? (a) x (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (1*1*sqrt(150))\/((-2*sqrt(9)*5)\/sqrt(3)))*-3)**2.\nAnswer: 45*sqrt(2) + 459\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7.03 in -34, -0.3, -1\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r + 1. Let b(i) = 3178*i + 908. Give b(f) - 908*z(f).\nAnswer: 454*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2682\/11 + 244. Let s = 11 - 12. Which is bigger: s or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228217123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 108\/14*((-15 - -15)\/(-14) + (-14)\/(-2))\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-18 - -11) + 9)\/(7\/((-315)\/6))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the second derivative of -q**7\/21 - 32*q**6\/15 - 313*q**5\/10 - 463*q**4\/3 - 1036*q**3\/3 - 392*q**2 + 2448*q. Determine l, given that z(l) = 0.\nAnswer: -14, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8586 (base 11) to base 4.\nAnswer: 2301103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuup when four letters picked without replacement from {p: 5, u: 9}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 - 318*v - 1531. Calculate z(-154).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -10*a**4\/9 - 34*a**3\/9 - 14*a**2\/3 - 22*a\/9 - 4\/9 = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 16\/3, -2, 5\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 44, 242, 574, 1040?\nAnswer: 1640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -21*(-3 - -2 - -2)*-8.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 57, 240, 545, 972, 1521?\nAnswer: 2192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*-273.6.\nAnswer: 1915.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 = 2*s - 5*h, -3*s = -4*h + 8*h - 93. What is the lowest common multiple of 28 and s?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*c - 25442 = 0, -4*c - 14669 + 78310 = 5*b. List the prime factors of b.\nAnswer: 7, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*h = 2003 - 65 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, a: 4, y: 7}. Give prob of sequence yzz.\nAnswer: 49\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 2*b + 11 - 18, 0 = -4*k + 4*b - 4 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s**(-1))\/s*s)**(-16\/9)*s*((s*s**(-3)*s)\/s)\/s*s**(-12))**(1\/19) assuming s is positive.\nAnswer: s**(-14\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13918276 is divided by 79?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110110 + 0?\nAnswer: -1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence auv when three letters picked without replacement from {a: 1, v: 2, u: 1, b: 1, w: 5}.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**5 + 2*l**2 - 2*l**2 + (-3*l - 2*l + 3*l)*(l**4 - 2*l**4 + 3*l**4) + 3*l**5 + 7*l**5 + 0*l**5 + 8*l**3 + 24*l**5 - 8*l**3.\nAnswer: 28*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -13605724, -13605727, -13605730?\n\"Answer: -3*j - 13605721","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 4*h**2 - 21*h - 9. Determine v(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(91) + -1*sqrt(91))*5 - sqrt(91) - sqrt(91) - sqrt(91) - sqrt(91)))\/((sqrt(63) - (sqrt(63) + sqrt(189)\/sqrt(3))*5)\/sqrt(9)).\nAnswer: -4*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**3 + 6*t**2 + 7*t + 6. Let x be r(-4). Let b = 17 - x. Let i = 5 + -4. What is the least common multiple of i and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 379 - 74. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * 5\nAnswer: -5.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 3*n + 6 = 0, -5*k = 2*n - 16 - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(425) + 1 + -1)*-5.\nAnswer: 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, k: 2, o: 1, d: 1, f: 2}. Give prob of picking 1 f and 2 k.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 3. Let u(k) = -k**3 - k**2 + k + 6. Let n(g) = -5*h(g) - 3*u(g). Let w(a) = 3*a**3 - 5*a**2 + 5*a + 5. Give -10*n(x) - 6*w(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(22\/5)*c**(-3)\/(((c\/c**(3\/10))\/c)\/c))**45 assuming c is positive.\nAnswer: c**(-549\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) 0.00374 (c) 0.5 (d) -12 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 655*h + 14. Let y(l) = -327*l - 7. Let b(q) = 3*t(q) + 7*y(q). Is b(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 19*r**2 + 18*r. Let f be x(-18). Solve 2*z = -2*b - z + 1, f = -b - 2*z for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -26228 and 1824.2?\nAnswer: 28052.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3536\/156)\/17*135\/6?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - r + 1. Suppose -i = 5*z + 1 - 3, -5*i + 10 = -4*z. Let q be 1*(0 + z\/2). Determine o(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*c + 0*c + 2*c)*(-6*c**2 + 3*c**2 + 62*c - 69*c) to the form y*c**2 + g*c + o + x*c**3 and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (424 - 424 - 16*o)*(-4*o**2 - 9*o + 9*o).\nAnswer: 64*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + h**2 + 0 + (0*h - h + 0*h)*(4*h + 3*h - 3*h))*(0*h - h + 0*h).\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is aa - -b?\nAnswer: b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -110966976.\nAnswer: 33290092.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i = f - 1, 31*f = i + 28*f + 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 414. Let s(n) = -n + 396. Determine 4*f(m) - 3*s(m).\nAnswer: 3*m + 468","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of j**6\/42 + 3*j**5\/35 + j**4\/14 - 2*j**3\/21 - 3*j**2\/14 - j\/7 + 5. Factor o(d).\nAnswer: (d - 1)*(d + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/23)*o\/((o*o*o\/o**(1\/4)*o*o*o*o)\/o))**(12\/11) assuming o is positive.\nAnswer: o**(-1059\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6348 - -1377. What are the prime factors of j?\nAnswer: 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*w**4 - 2*w**3 + 3*w**3 - 6*w**4 + 1 - 2*w to x*w**3 + k*w + t*w**4 + n*w**2 + o and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 469, -4 in increasing order.\nAnswer: -4, 2, 469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -640 times -0.2?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2 + 13*k - 5. Let d(f) = 3*f**2 + 6*f - 3. Suppose 3*u = 4*m, 3*u + 3*m - 96 + 75 = 0. Calculate u*r(x) - 9*d(x).\nAnswer: x**2 - 2*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -201921, -409674, -617427, -825180?\n\"Answer: -207753*s + 5832","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/((sqrt(512) - (sqrt(512) - (sqrt(512) - (sqrt(512)*-1 + sqrt(512))))) + sqrt(512)) + sqrt(6)\/(sqrt(528)\/sqrt(11)).\nAnswer: 5*sqrt(2)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000102112 - -11121?\nAnswer: -1000020221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12926*a**2 - 113*a**2 - 2149*a**2 - 6515*a**2)*(-a**2 + a**2 - 2*a**2)*(-1 + 1 - 1).\nAnswer: -43406*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**2 + 0*b + 0*b)*(3*b + 5*b - 5*b).\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 203\/(-58)*(-3)\/((-33)\/22)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.35, -2\/27, -2 in ascending order.\nAnswer: -2, -2\/27, 0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -8*r + 82. Let l be x(8). Let v(n) = -8 - 10 + 2 + l + 5*n. Let j(h) = 6*h + 3. What is -4*j(z) + 5*v(z)?\nAnswer: z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -14*g**3 - g**2 + g + 1. Is i(-1) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 17 - -1608?\nAnswer: 1623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27407 is divided by 1049.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 9:37 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**5\/5 + 2*h**4 + 53*h**3\/3 - h**2 + 25. Find the third derivative of a(f) wrt f.\nAnswer: 24*f + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 8:39 AM?\nAnswer: 6:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 37*b - 18*b - 21*b. Let w(q) = -q - 104. What is t(w(s))?\nAnswer: 2*s + 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -d**4\/12 - d**3\/6 - d**2\/2 + 3*d. Let u(i) = i**2 - 2*i. Let k be u(1). Let t = k - -1. Give x(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*i + 19 - 19.\nAnswer: -31*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -6062 (b) -7 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 6) in base 8?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-4))\/((-11)\/(-22))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v - 16*v = -756. Calculate the greatest common divisor of 140 and v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -26 (b) 4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**2 + 0*g**2 - 4*g**2 - 5*g**2 + 2*g**2 + 2*g**2 + (2 - 2 + 2*g)*(-5*g + 3*g + 4*g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 521753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - c)*(0 + c**3 + 0) + (94*c - 94*c + 2*c**3)*(-1 + c + 1)*(0 + 1 - 3).\nAnswer: -5*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2)\/4)\/(3\/84). Let z = n + 42. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -247*o**3 - 6*o**2. Let v be j(6). Let y = v - -101568. What is y rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**6)**45 assuming i is positive.\nAnswer: i**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1798731.\nAnswer: 3, 11, 18169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.612 + 2.08. Round d to 1 decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 2. Let k be 25\/5 + (-102)\/18. Which is greater: k or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y - 1152259. Let n(i) = -3*i. What is j(n(p))?\nAnswer: -21*p - 1152259","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the first derivative of 60 + 0*d**2 - 50\/3*d**3 + 0*d + 153\/4*d**4. What is the third derivative of s(u) wrt u?\nAnswer: 918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1224?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -93 - (-18 - (19 - 39)) - -15 - -6\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3516 and 20.\nAnswer: 17580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.00956? (a) -0.3 (b) -3 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-16)\/(-112)*14\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4421 divided by 5?\nAnswer: -4421\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 1 = 2*o, 5*t + 4*o = 65. Suppose -t*c + 6*c = -1941. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34 divided by -60242\nAnswer: 17\/30121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 574 = 5*k. Find the third derivative of -k*z**6 + 131*z**6 + 10*z**2 - 74*z**6 wrt z.\nAnswer: -3000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m + 1. Let g(q) = q - 4. Determine -g(v) - 2*y(v).\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 548.8403 millilitres to litres.\nAnswer: 0.5488403","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - h + 7. Let v(z) = z**3 + 4*z**2 + 3*z. Let p be v(-3). What is s(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - 3*y**3 + 6*y**3 + (22 + 12*y - 22)*(2*y - y - 3*y)*(-3*y + 5*y + 0*y).\nAnswer: -46*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 9*l**2 + 3*l + 139. What is the least common multiple of 51 and t(-10)?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2125595000 to the nearest one million.\nAnswer: 2126000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-3)*4*-3*8\/4?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -5*g + 20. Suppose c = g*c. Suppose 4*y - 8 = -2*l, c = 3*l - y + 5*y - 14. Calculate the remainder when 23 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -q - 21, -149*q = -150*q + 3*u - 21 for q.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*l - 0*l, 0 = -3*h + 4*l + 8. Suppose 0 = 3*u + 8 + h. Let d be (22\/u)\/(1\/(-18)). Calculate the highest common factor of 11 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14540 + 343?\nAnswer: 15323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.31 - 0.01. Let d = v - -3. Let c = d + -3.3000042. Round c to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300916931 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 345 = -3*u + 411, 4*u = 72 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 57457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 6 + 23*r**2 + 10*r**2.\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**5 - 109*s**4 - 1135*s**3 - 1575*s**2 = 0. Calculate s.\nAnswer: -7, -5\/3, 0, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10322?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/43488 and -47\/150282.\nAnswer: 363081312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the second derivative of t**5\/10 - 199*t. Calculate u(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/43)*j)\/(j\/j**(-1\/7)*j))\/(j**(-1))**20 assuming j is positive.\nAnswer: j**(5991\/301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 205 - 176. Suppose -j*h - 101 = 15. Let k(s) = 3*s - 6. Calculate k(h).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34826 divided by 1\nAnswer: 34826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*i**2 + 81*i**3 - 165*i**3 + 21*i**2 + 82*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*-3*(1 + (6*(sqrt(2736) + -1) - (-5 + sqrt(2736) + -1))).\nAnswer: 3 + 180*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4160a986 + 3?\nAnswer: -4160a983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2619801792.\nAnswer: 2, 3, 79, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 996 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 3, 69 in descending order.\nAnswer: 69, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -560.5 in 1\/18, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9442841 or 9442878?\nAnswer: 9442878","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zpjzqpzqdxjjqp. Give prob of sequence qq.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 3*q - 19 = -q, -20 = -5*q. Let c(s) = 3*s**2 - 4*s. Calculate c(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 500173, 500181, 500205, 500251, 500325, 500433?\n\"Answer: f**3 + 2*f**2 - 5*f + 500175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 5. Suppose -k + 92 = r*k. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3061 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (21 + 3)*(13\/(-4) - -3). Let w(k) = -8*k + 2. Let l(s) = 33*s - 8. Determine d*l(h) - 26*w(h).\nAnswer: 10*h - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -527 - 134557?\nAnswer: -135185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 2 + 8. Suppose s*x + 144 - 1104 = 0. Let v = x - -247. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -1) + (-45)\/(-1). Let i = x - 29. Calculate the highest common factor of 10 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - -55. Let t = -764 - -681.5. Let g = z + t. Round g to zero dps.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 96 = -4*o, o = -0*o + 4. Let i be b\/(-21) - (-8)\/(-28). What is the nearest to i in -4, -5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -725594, -1450795, -2175996?\nAnswer: -2901197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 18*g**2 + 14*g - 5. Determine o(10).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**3 - 3*q**2 - 2*q - 5. Let f(r) = r**3 + 12*r**2 + r + 16. Let o be f(-12). Let c be n(o). Solve -2*y = c*y + 20 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -986*j + 119. Is w(-48) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.4 (b) -1.6 (c) 1\/2 (d) -0.3 (e) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 take away -15.3603777?\nAnswer: -93.6396223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -418 divided by 3145062\nAnswer: -209\/1572531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4\/2 + 12*p + 20. What is the derivative of y(r) wrt r?\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.5 + 7. Put 1, -4, i in decreasing order.\nAnswer: 1, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1734 is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1836 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 3 (c) -634\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*p = -177*p + 330. Let m = 206 + -99. Let b = m + p. Calculate the highest common factor of 13 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7296000 rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -1006*d**2 - 109*d - 10366. Let f(t) = 201*t**2 + 20*t + 2073. Let a(x) = 11*f(x) + 2*k(x). What is the first derivative of a(i) wrt i?\nAnswer: 398*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27125406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5618 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 2)\/(-2) - 1. Find the common denominator of (-7)\/8 - -2 - z and 85\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8520\/175 + 6\/(-21). Let f = r + -49. Let i = 0.3 - 2.3. Which is the closest to 2\/3? (a) i (b) f (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -885, -7428, -25277, -60078, -117477, -203120?\n\"Answer: -941*d**3 - 7*d**2 + 65*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 115 + -57. What is the remainder when d is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*k + 18 = 58 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, o: 16}. What is prob of picking 4 o?\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 116408393?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vsso. What is prob of sequence so?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and 1942.\nAnswer: 1941.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*l**2 - 2*l + 142 wrt l.\nAnswer: 38*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5913 times -2?\nAnswer: 11826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40.2422 - 0.0578. Let b = r + 29. Let n = 12.3 + b. Is -6\/7 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -n**4 - 26780*n**2 + 10632 - 454*n**3 - 2*n + 13381*n**2 + 13399*n**2 wrt n.\nAnswer: -4*n**3 - 1362*n**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 21*p**2 - p - 2. Let f be k(-6). Let u be (f\/144)\/((-63)\/(-2)). Let m = -2\/81 + u. Which is the biggest value? (a) 0.5 (b) -2 (c) -4 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57.8 - -0.3.\nAnswer: -57.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 193002948 or 1\/4?\nAnswer: 193002948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvtjbyb. What is prob of sequence bvvb?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-398)\/10 - (-1)\/(-5). Let w be 16\/g - 12\/(-5). Let k(o) = -1 - o**w + 0 - o + 3. What is k(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011122201100 (base 3) to base 5.\nAnswer: -124414323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34203245?\nAnswer: 5, 6840649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36072?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 6*m - 69 = 0, -5*k - 13 = -4*m - 38 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 7*v**2 - 13*v - 11. Let m be k(-5). Suppose 0*r - m*r - 48 = 0. Let l be (1\/r)\/((-13)\/8). Is l at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -14*n**4 + 7*n**3 - 7*n**2 - 7. Let m(t) = -13*t**4 + 6*t**3 - 6*t**2 - 7. Let r(p) = -7*m(p) + 6*s(p). Find the first derivative of r(c) wrt c.\nAnswer: 28*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2004?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 188 and 282?\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnn. What is prob of picking 2 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, 5, 4\/7.\nAnswer: -5, 0, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1787*d**3 - 247*d wrt d.\nAnswer: -10722*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 56\/(-8) + 91 + -3. Calculate the highest common divisor of h and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 766 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1817703 divided by -3\nAnswer: 605901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -164 (b) -3 (c) -4 (d) 1\/6 (e) 110 (f) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-676)\/2535*(-36)\/(-8).\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 + -8)\/(-4*1\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(264)\/sqrt(128))\/(sqrt(704)*-2 + sqrt(704)).\nAnswer: -5*sqrt(3)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.2 (b) -19 (c) 5 (d) -432.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 59139 and 54?\nAnswer: 354834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-6))\/((-20608)\/(-609408))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6001 + 6008. What is the least common multiple of w and 281?\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1078122?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 533 and 779.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 + 23*n + 6. Is 11 a factor of q(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33046, -70651, -108244, -145819, -183370, -220891, -258376, -295819?\n\"Answer: r**3 - 37612*r + 4565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-7)\/b)\/(b\/b**(-7))*b**(2\/23)\/b**7)**(1\/11) assuming b is positive.\nAnswer: b**(-527\/253)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.3, -2, -1\/2, -34\/5, 10\/1033?\nAnswer: -34\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6534.129 weeks in microseconds?\nAnswer: 3951841219200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 250.373085 + -0.037085. Let l = 252 - z. Let q = -1.6 + l. Round q to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 11:40 PM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 19*x**2 - 22*x + 158. What is v(3)?\nAnswer: 263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.573 - -3.33. What is l rounded to two decimal places?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000208003 to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 7 - 2*q - q + 6*q**2 - 3*q. Suppose p + 8 = 3*s + 4, -2*p = -3*s - 1. Let w(v) = 0*v + 0*v**2 + 2*v - 3*v**2 - 3. What is s*i(m) + 7*w(m)?\nAnswer: -3*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18333, -36665, -54997?\nAnswer: -73329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d + 1. Let b(j) be the first derivative of 24 + 12*j + 9\/2*j**2. What is 2*b(p) - 22*s(p)?\nAnswer: -4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 3 + 0 + -1 + -1 - (-29 + 10).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a decade in months?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 + -2644268260\nAnswer: -2644268259.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 175 (b) 3 (c) 3\/4 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 15 = 0, -5*d + s = -12 - 8. Suppose d*y = -2*y + 25. Solve -c = 2*v - y, 3*v + 2*c = v + 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539919 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -21091127.94 to the nearest 1000.\nAnswer: -21091000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/7)*f**(-1\/12)*f**(-1\/7)\/(f*f**9\/f*f*f)*f**(-3)\/(f\/(f\/f**(-1\/2)))*f**(-9)*f*f\/(f\/f**5)*f assuming f is positive.\nAnswer: f**(-1357\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1*-3 - (-2 + -2))\/1. What is the smallest value in 5, -0.2, -2, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000011100111110101 (base 2) in base 14?\nAnswer: 10068d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.04, 7\/6, 8 in decreasing order.\nAnswer: 8, 7\/6, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**2\/3 - 4376*t\/9 - 796480\/9 = 0. Calculate t.\nAnswer: -380, -1048\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-26 - 3) + (12 - 2) + -25\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 12, -x + 25 = x - 5*u. Suppose -x*r + m - 14500003 = 0, -3*r - 8700006 = -0*m - 2*m. Round r to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25210?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 + 1632660*q - 133278933780.\nAnswer: -5*(q - 163266)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 43771 - 31110. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -17 + -253 + 2\/((-8)\/20). Let i = b + 292. Solve 0 = -13*k + i*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 907813783 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.18 and 15.963?\nAnswer: -2.87334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -45\/2? (a) 902 (b) -1\/2 (c) -8.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6291550, -12583116, -18874680, -25166242, -31457802, -37749360?\n\"Answer: f**2 - 6291569*f + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 22*c + 9*c**2 - 13*c + 4*c**3 + 9 - 3*c**3. Suppose -145*o - 608 = -69*o. Give q(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60 + 0*b**3 - 128 + 68 - b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6563\/18 - 3424\/9. What is the common denominator of 19\/30 and g?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 3*z + 4*h, -1049*h + 4 = -4*z - 1051*h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 462905.3677 + -0.2.\nAnswer: 462905.1677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*v - 89*v - 27 - 5*v + 28*v - v**2 + 2*v.\nAnswer: -v**2 - 147*v - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1302 is divided by 65.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 19 - -151ba3?\nAnswer: 151bbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w**3 - 152752*w**2 + 2916646688*w = 0. What is w?\nAnswer: 0, 38188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101421 (base 6) to base 16.\nAnswer: -d615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) - (sqrt(76) + (sqrt(76) - (4*sqrt(76)*-1 + sqrt(76))))**2) + ((0 + sqrt(1539) + -2)**2 - sqrt(1539)) + sqrt(1539) + sqrt(1539).\nAnswer: -357 - 25*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2453631562 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 5*y - 50 + 20 = 0, 14 = 4*s + y. Let d = 10 + s. What is the lowest common multiple of (-3)\/(-6) + 43\/2 and d?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gqqd when four letters picked without replacement from {g: 5, d: 1, q: 3}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5087.4553 rounded to one dp?\nAnswer: 5087.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4294038397586.6999978 - 4294040328402. Let g = s + 1930817.6. Let o = -2.3 + g. What is o rounded to six decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -2*m**6\/75 + m**5\/25 + m**4\/15 - 2*m**3\/15 - 10*m. Suppose y(c) = 0. Calculate c.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 14*k. Let g(o) be the first derivative of 7*o**2 - 432. Determine 5*a(y) - 6*g(y).\nAnswer: -14*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/4 - r**4\/2 + r**3\/2 + r**2 - r\/4 - 1\/2 = 0. Calculate r.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 288 = -62. Suppose -43*c + t*c - 35 = 0. Solve -1 = -c*v - 21 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h + h**2 - 2*h)*(-451 - 238 + 183)*(-2 + 2 + 2*h) to t*h + x + r*h**2 + m*h**3 and give m.\nAnswer: -1012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -3, -24378 in descending order.\nAnswer: 0, -3, -4, -24378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 3*z + 25 = 0, 2*z + 3401 = -5*d + 3369 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w - 2*w + 0*w)*(0*w**3 - w**3 - w**3) + (w - 4*w + 10*w)*(-18*w**3 - 145*w**3 - 27*w**3) in the form f*w + p + z*w**4 + k*w**2 + q*w**3 and give z.\nAnswer: -1326","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -273*t + 274*t + 3 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 38 = -8*r. Let x = r - 16. Let w(i) = -1 - 34*i - x + 32*i. Determine w(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 l when two letters picked without replacement from {z: 3, l: 8, g: 5}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (191\/3)\/((-26705)\/(-1335) - 20) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -2\/5*k**5 + 1\/15*k**6 + 5\/6*k**4 - 2\/3*k**3 + 5*k + 0 + 0*k**2. Determine m so that y(m) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -7. Let w = -152.5 + 153. What is the fourth biggest value in -3, t, -4, w?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -226, -408, -590?\nAnswer: -772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 2*k**2 + k + 11. Calculate p(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p**2 + 1 + 1 + p**2)*((4 - 5 + 0)*(-2*p + 2*p + 2*p**3) + 0*p**3 + 0*p**3 + p**3 + 2*p - 2*p + 2*p**3 + 0*p**3 + 6*p**3 - 3*p**3).\nAnswer: 4*p**5 + 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3\/11 + 226*q**2\/11.\nAnswer: -q**2*(q - 226)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**5\/5 + 658*g**4\/5 + 43714*g**3\/5 + 393806*g**2\/5 + 1252812*g\/5 + 1341648\/5 = 0.\nAnswer: -242, -77, -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(21)\/sqrt(3)*-6 + (sqrt(28) + sqrt(7))*-5 + sqrt(7))**2.\nAnswer: 2795","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s + 1. Let f be p(2). Let i = -0.2 + 0.6. Let t = 2411 - 2411. What is the nearest to 2 in i, f, t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2*(1935\/(-45) + 13)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 10*q**2 + 10*q - 5. Let y(d) = -d**2 - 10*d + 9. Let a be y(-10). Let m be l(a). Let g(c) = 9*c**2 - 4*c + 3. Is g(m) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - 4*i - 4*p + 8, i = p + 12. Let u(v) = 0 + v**3 - 5 + 9*v - 4 - 8*v**2. List the prime factors of u(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 472\/11 - 66596\/1551. Let o = i + 326\/1551. What is the second smallest value in -2\/7, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 330 and 120.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-424)\/(-12) + -2)\/((-4)\/(-12)). Let i = -77 + a. Does 14 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12 = y, -4*x + 8*x + 4*y = 0. Let i be 2 + 5 - (-3)\/(-1). Let p be 0\/(x - 2 - i). Solve -2*z + b = -2 - 0, p = -4*z + 3*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 11:44 PM?\nAnswer: 6:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*z + 29, 0 = 5*l - 0*l + 2*z - 109. Let w(a) = 10*a - 234. Let x be w(l). What is the closest to 2\/7 in -5, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.171 and 2?\nAnswer: -0.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2. Let t(s) = 107777726*s. What is q(t(m))?\nAnswer: -11616038221731076*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 - 7?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z**2 - 4*z - 4. Let h be y(-4). Let u be (-3)\/5 + 6\/h. Is 0.2 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*d**3 + d**2 + 4 - 16*d**3 - 3*d**2 - 2*d + 28*d**3 in the form j*d**3 + k*d + i*d**2 + s and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56355.9928 - 56395. Let i = x - 49.9849. Let n = i + 89. Round n to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1106898319*-0.5.\nAnswer: -553449159.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -4*y**2 + 52*y + 893. Determine m(26).\nAnswer: -459","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -5*h - 18, -2*c - 4*h - 3 = -3*c. Solve c = 4*q + 3 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 2*w**2 + 2*w - 2. Let d be a(-3). Let s be -2 + d + 0 - -5. Suppose 2*h = 4*j + 8 - 2, 4*j - 9 = -h. Solve s*i - j = -21 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (7 + -5) - (-1 - 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.52 - -0.02. What is the fourth biggest value in b, -2\/7, 2, 5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1600*a + 777*a + 905*a.\nAnswer: 82*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.18 and 229581.\nAnswer: -41324.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q - 3*q + 2*q)*(8*q + 37 - 37) + q**2 + 2*q**2 - 2*q**2.\nAnswer: -7*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 + -10. Suppose 5*k + 0*k = -5*l + m, 3*k - 3*l + 9 = 0. Let b(t) = -4*t - 4 - 2*t + 9*t + 3*t**k. What is b(-3)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51608 + 491*q**2 - 4*q**3 + 3*q**3 + 51608.\nAnswer: -q**3 + 491*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45936, -87706, -125306, -158742, -188020, -213146, -234126, -250966?\nAnswer: -263672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -326, -989, -2106, -3683, -5726?\nAnswer: -8241","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w. Let l = 26 - 18. Let u(v) = 2*v + 1. Suppose 3 = -2*n - 3. Let a(f) = l*z(f) + n*u(f). What is the derivative of a(b) wrt b?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 548, 2287, 5186, 9245?\nAnswer: 14464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 599535 and 599535?\nAnswer: 599535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*j - 277*j - 90 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -12.2 times -44.5\nAnswer: 542.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in thirteen fifths of a second?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22221000 (base 5) to base 6\nAnswer: -4103205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 808 divided by 202?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1409 + 809. Let m = 1741 + q. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.7, -5, -1\/2, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 7759, 2, -2, 5 in descending order.\nAnswer: 7759, 5, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 7 = 3*q. Let j(y) = y**2 + 8*y + 10. Let c be j(q). Solve 12\/7*s - 12\/7*s**c + 2\/7 - 18\/7*s**4 + 16\/7*s**2 = 0 for s.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 0*o**4 - 2*o**3 - 5 + 11*o**4 - 952*o**2 + 19*o**4 + 951*o**2 wrt o.\nAnswer: 720*o - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65218272 to the power of 1\/2, to the nearest integer?\nAnswer: 8076","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + 15. Suppose i - 17 = -d. Calculate the remainder when d is divided by (-56)\/(-12) + 3\/9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*v - 92 - 148 = 0. Solve 63*q + v = 68*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*j**2 - 212*j**2 + 264*j**2.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 504 = -2*r. Let s be 16 - (1 + -5 + 8). Suppose s - 201 = -9*w. What is the greatest common factor of w and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 14 - (7 - ((-10 - -5) + 8))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8072284 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -39\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 8) in base 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 11 - 5 = 0. What is the lowest common multiple of (-2)\/(-7) - 110\/(-7) and 6 + v\/2 + 2?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**4\/4 - 3*a**3\/2 + 10*a**2 + 6*a. Let m(r) = -7*r - 9. Let g be ((-18)\/8)\/((-24)\/(-64)). What is g*o(c) + 5*m(c)?\nAnswer: c + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the second derivative of i**6\/25 - 39*i**5\/100 + 31*i**4\/20 - 16*i**3\/5 + 18*i**2\/5 - 20*i + 1. Suppose x(c) = 0. Calculate c.\nAnswer: 1, 3\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22) + sqrt(22) + sqrt(132)\/sqrt(6)*-4)\/sqrt(11).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2 - 216*y + 11440.\nAnswer: -(y - 44)*(y + 260)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1292 and 10880068?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1606989, 3213888, 4820775, 6427644, 8034489, 9641304, 11248083?\nAnswer: 12854820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 x, 1 c, and 1 f when four letters picked without replacement from {g: 2, f: 2, s: 1, c: 4, x: 2, m: 3}?\nAnswer: 16\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of z**5\/20 - 5*z**4\/6 + 7*z**3\/3 - 5*z**2\/2 - 51*z. Give b(9).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 114 and 5757?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/459 and 167\/2208402.\nAnswer: 6625206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 16. Let d be -6*(p\/6 + 1). What is the third derivative of b**5 - 4 + 4 - b**d wrt b?\nAnswer: 60*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11\/(-2))\/(9\/(-18)) - (-1 - -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -804, 1, -26 in decreasing order.\nAnswer: 1, -26, -804","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2.7671463ns?\nAnswer: 0.00000000000003202715625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - 5*l**3 + 2*l**3)*(4*l**2 - 3*l**2 - 3*l**2) + (3 - 3 - l)*(0*l**4 + l**4 + l**4).\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 7*u - 2. Let l(s) = s. Let z(g) = -k(g) - 4*l(g). Let m be z(0). Solve 3*d = m*p - d + 16, 0 = 3*p + 2*d - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-144)\/(-27) + (-1)\/3. Let f be ((-2)\/w)\/(2\/(-70)). Suppose f*z = 9*z + 170. Calculate the remainder when 67 is divided by z.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8455\/6 - 1409. Sort 3, -2, n in decreasing order.\nAnswer: 3, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44*342\/304*(-16)\/24?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -126 - -127. Let a be 49\/3 + (-2)\/6. Let m = a - w. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = 5*g - 41, 2*m = 4*g - 3*m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003605992 rounded to six dps?\nAnswer: 0.000361","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42279750677.99999969 - 42279750424. Let f = -254 + l. Round f to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -13\/3478?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.02 (c) 4\/9 (d) -2 (e) 22 (f) -2\/81 (g) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 0*u + u)*(-5 + 1 + 3) + (-69 - 2 - 46)*(-11*u + 2 - 2).\nAnswer: 1285*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-42) + (220\/30)\/11. Let t = -0.36 + 0.3. Which is smaller: o or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 13. Suppose -3 = -m + d. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.02 - 3. Let u = 30.98 + -33. Let b = z + u. Sort -4, b, 0.3 in decreasing order.\nAnswer: 0.3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2603 (base 7) in base 11?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -101 - -595. What is the tens digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Does n = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 106*a = -104*a + 79*a + 2489. Solve 2*g = -14*w + a*w - 19, w - 4*g + 7 = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-204)\/(-15))\/1 - 3 and -89\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = 14*f - 8. Suppose -k = -4, -5*g + f*k + 3*k = -105. Suppose 28 = -14*m + 18*m. What is the remainder when g is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8096879000 to the nearest one million.\nAnswer: -8097000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -241 - -4821\/20. Let n(u) be the second derivative of 0*u**2 + 0 - 1\/3*u**3 + r*u**5 + 1\/12*u**4 - u. Factor n(g).\nAnswer: g*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppfp when four letters picked without replacement from {f: 2, p: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2*sqrt(104)*2)\/(sqrt(144)\/sqrt(2)).\nAnswer: -4*sqrt(13)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 7:18 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2*(-3)\/(9\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**2 - 8*w + 13. Calculate p(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/8*h**2 + 13\/4*h - 25\/8.\nAnswer: -(h - 25)*(h - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2510787 divided by 62.\nAnswer: 2510787\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1531758726 to the power of 1\/3, to the nearest integer?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 + -47. What is the remainder when 3*((-1 - o) + -4 + 3) is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, -1, -3, -5, -7?\n\"Answer: -2*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 864, 855, 868, 903?\n\"Answer: 11*y**2 - 42*y + 895","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**5\/7 + 3*y**4\/7 + 30*y**3\/7 - 12*y**2\/7 - 72*y\/7 = 0. Calculate y.\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -138*w + 5 = a - 141*w, w = 5*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 1 = v + v, 5*v = 5*f + 20. Let c = 7 - 2. Suppose -4*m = 2*n - 56, -4*m + 45 = -c*n + 3. What is the remainder when m is divided by v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 8104 + 1435 = 0. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y = -5*n - 49, -15 = 3*n + 4*y + 12. What is the nearest to 3\/5 in -21, n, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 611*t - 69. Let v be j(5). Suppose -902 - v = -24*g. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 27*i**2 - 28*i + 24. Let g be t(-28). Suppose -18*b + g*b = 72. Solve -j = 2*j + b for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*x + 10. Let p be (6\/(-15))\/((-1)\/x). Suppose p*m = -0*i - 3*i + 27, 5*i - 45 = -m. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3081*b + 6509*b - 3422*b + 4*b**2.\nAnswer: 4*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from {e: 7, t: 2, y: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z = z - z - 1754 - 473 for z.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**2\/4 + 2499*v\/4 - 31005.\nAnswer: -3*(v - 780)*(v - 53)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 735 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4280910119 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + -15 - (-3 - 38)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2123324154 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 84\/(-10) - 6\/(-15). Let v = -5 - m. Solve -v*u + 4 + 2 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -780 (base 9) to base 10.\nAnswer: -639","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 61529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 4*v**2 + 32044*v - 771360 = 0?\nAnswer: -8035, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(252) - (sqrt(252) - (sqrt(252) + 4*sqrt(252)*-3)))*3)**2 - (-2 + 1 + sqrt(252) + sqrt(252) + -2)**2.\nAnswer: 72*sqrt(7) + 273411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 6*v + 78. Let x(h) = 9*h**2 - 15*h + 37. Let i(q) = -50*q**2 + 70*q - 186. Let b(w) = 2*i(w) + 11*x(w). Let c be b(v). Solve -3*s = c - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.45 - 6.9. Let q = z + 131.45. Let v = q + -132.94. What is v rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13619.\nAnswer: 13619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2*((-45)\/(-6) - 0). Let s be ((-20)\/6)\/(816\/(-162) - -5). Calculate the highest common factor of r and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/36)\/(2\/(-80)*-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - -1 - (-48 - -38)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 298 divide 108174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a meter in millimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-7 - (-9 + (-7 - -4 - -4))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -241 - 415660?\nAnswer: -416121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 5*w - 984 = -2*g, -3*w + 12 = 0. Which is smaller: 480 or g?\nAnswer: 480","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 55 - 53. Let u be (2\/(-5))\/(80\/(-4600)). What is the closest to u in t, -3, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 53*n - 112. Let l be f(55). What is the nearest to 5 in -0.3, 2, l?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -0.01, 3\/2, -2\/11, -3.\nAnswer: -3, -2\/11, -0.01, 2\/3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of -y**5\/20 + 11*y**4\/8 + 53*y**3\/12 + 9*y**2\/2 + 956*y. Factor p(g).\nAnswer: -(g - 18)*(g + 1)*(2*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -363, -352, -335, -312?\n\"Answer: 3*v**2 + 2*v - 368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 588 = -26*t - 22*t. Suppose 2*n - 2 = 4*j, 1 = 3*j - 2. Suppose 0 = -c - 1 + 4. Solve -c*u + 5*i - 6 = -5*u, -n*u - t = -3*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.002 and 0.45.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1436362861 to the power of 1\/4, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 6 - 14 - 3*z + 2*z + 5*z. What is the units digit of s(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -332*j + 1. Let w(z) = -168542*z. What is w(c(x))?\nAnswer: 55955944*x - 168542","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 10:27 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j - 1. Let l = -13272 - -13274. Let p(r) = -20*r + 25 - 4*r - 3. Give l*p(a) + 44*n(a).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttyttttttttttttptt. Give prob of sequence tpy.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-3)*f\/(f**(-6)*f*f)*(f**2)**(1\/13))**(-1\/13) assuming f is positive.\nAnswer: f**(-119\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/9))**19\/(w**(-1\/7)\/w**(-1\/7)))**(16\/5) assuming w is positive.\nAnswer: w**(608\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -9*b**2 - 1347*b - 6686. Determine n(-5).\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g**3 + 10*g**2 + 23*g + 29. Calculate the lowest common multiple of 46 and j(-3).\nAnswer: 7360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(3 + -2*sqrt(19))*-2 + (5*(sqrt(931) + (2*sqrt(931) + sqrt(931) - sqrt(931)) - sqrt(931))*-1)**2.\nAnswer: -12*sqrt(19) + 93118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -n**6\/60 - n**5\/60 - 5*n**4\/24 - n**3\/3 - 26*n**2. Let i be g(-2). Which is smaller: 19 or i?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 893*n - 3898. What is j(5)?\nAnswer: 567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10002012111 (base 3) to base 5.\nAnswer: 3420110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1950*d + 5208 + 7598 = -606 - 9988 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(7\/(-2))*(-10)\/(-2310)*21\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from attni. Give prob of sequence iant.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2948022?\nAnswer: 2, 3, 7, 11, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k**(-6\/11)\/k)\/k*k)\/k*k\/(k\/(k\/k**(-12))))\/((k*k\/k**(-8)*k)\/k)**(-7\/11) assuming k is positive.\nAnswer: k**(196\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 15.5. Let v = m + -1.5. Which is the nearest to v? (a) 0.4 (b) 0.2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00960175 rounded to 5 decimal places?\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-234))\/((-2)\/(-12))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20321 (base 8) in base 11?\nAnswer: 6348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 156, 2, -29458 in descending order.\nAnswer: 156, 2, -2, -29458","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 9 - (1 - -2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11) + 1 + sqrt(44)\/sqrt(4)) - (sqrt(11) + 2 + 1 - sqrt(11))*-3.\nAnswer: -12*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 6*n + n - n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, d: 2}. Give prob of picking 2 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) -127 (c) 1 (d) 0.1 (e) 51 (f) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r = 3*r + 12. Suppose r*p + 2*p - 65 = 3*d, 4*p = -5*d + 89. Solve -l + 5*l = 5*c + 16, 4*c - p = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1971174 + 4431174. What is z rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 43620 and 117420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a century?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:57 PM and 11:34 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*q = 785405 - 785780 for q.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9702, 19432, 29166, 38904?\nAnswer: 48646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -13535.3578 rounded to the nearest 100?\nAnswer: -13500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.325 + -144.675. Let n = b + 68. Let x = n - -82. What is the biggest value in -2\/17, x, 4?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2894*((-33)\/6 - -6))\/1.\nAnswer: 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (30\/35)\/3*-1. Let f = -34.14 - -0.14. Let l = -34.4 - f. What is the nearest to 0.3 in -5, o, l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pppppffggppppp. What is prob of sequence fpfg?\nAnswer: 5\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*i*k**2*y**3 - 8*i*k**2*y + 2*i*k + 47*i*y**4 - 6*k - 3*y wrt y?\nAnswer: 36*i*k**2*y + 564*i*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, 0.5, -40540, 17 in increasing order.\nAnswer: -40540, 0.5, 1.3, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 4*d - 74. Calculate f(8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/10)\/((-74)\/(-185)). Let z(c) = -55*c**3 + 3*c**2 + 5*c + 16. Let f(o) = 18*o**3 - o**2 - 2*o - 5. Let v(d) = -7*f(d) - 2*z(d). Is v(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(65 + -23) + (-4)\/21?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -36.2 (b) 2 (c) 1\/8 (d) -4 (e) 5602\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2693143 is divided by 673281.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -2392714?\nAnswer: 1\/2392714","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 434851489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 870464 to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.04 and 0.1914.\nAnswer: 0.2314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 160\/9 - 4049\/45. Let u = w + 72. Let q(r) = -23*r - 534. Let t be q(-23). What is the second smallest value in 0, t, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiieibbb. Give prob of sequence biib.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2 + 4 + 1 + 87?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 12, -r - 7 = -5*x + 4. Suppose r*n + 4*f - 376 = 0, -2*n + 2*f + 358 = 2*n. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*y - 23*y - 3*n = 14, 2*n = -y + 7 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**3 + 6270*l**2 + 1959360*l - 3943840 = 0.\nAnswer: -628, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2686636 by -671659.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18.441 - -17.44. Let h = -1.09 - b. What is h rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 76 and -0.002.\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, i: 3, c: 9, o: 2, l: 1, a: 2}. Give prob of picking 2 c, 1 l, and 1 o.\nAnswer: 24\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3494324 by 122.\nAnswer: -28642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41257.99979557 - -41258. Round p to 6 dps.\nAnswer: 0.000204","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.29332 + -0.29. What is y rounded to four dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -110*o**2 - 265*o. Let i(f) = 55*f**2 + 129*f. Let h(g) = 5*i(g) + 3*l(g). What is the second derivative of h(n) wrt n?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -30, -49, -78, -123, -190, -285?\n\"Answer: -t**3 + t**2 - 15*t - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9355 greater than -9965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 + 52\/3. Which is the second biggest value? (a) 0.1 (b) x (c) 6 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*a - 52*a + 59254. Is a a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/60*-9)\/1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.11? (a) -1\/7 (b) 4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.52 + 0.36. Let z = -0.8 + i. Let s = z - 2.08. Are 3 and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.5266 - 0.4766. Are -89 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 356.8, 2\/9, -145, 0.2?\nAnswer: 356.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57899\/11 + -5268. What is the common denominator of r and -1 - ((-58)\/(-5))\/1?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -8) + (40 + -21 - 22)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -3*x - 26. Let n = x - -20. Suppose n*b = -b + 12. Solve c = 1 - b for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -274*x**3 + 1137*x**3 + 450 + x**5 - 447 - 92*x**2 wrt x.\nAnswer: 60*x**2 + 5178","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 922\/490 - 4\/2. Let p = -4\/49 + i. Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54096, 53998, 53886, 53754, 53596, 53406, 53178?\nAnswer: 52906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**2 - 27*p + 2. Let r be k(9). Suppose 2*a = 4*w + 6*a - 80, 4*w + 2*a = 72. Calculate the remainder when (r\/3)\/(4\/174) is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, q: 5}. Give prob of picking 2 w.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rf when two letters picked without replacement from {r: 3, h: 3, f: 4, q: 3}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1108 + 144 + 486 + 479 - 779*x**2.\nAnswer: -779*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 4 (c) 0.3 (d) -0.2 (e) -23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 74 = -64. Let b be 400\/(2 + 3) - k\/(-1). What is the greatest common divisor of 858 and b?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1430*t - 1534*t + 2704 = 0. Let m(y) = y**3 + 3*y**2 - 4*y - 4. Calculate the remainder when m(5) is divided by t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -8, 0.4, -0.356?\nAnswer: -0.356","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 o when two letters picked without replacement from {i: 1, f: 1, o: 1, v: 3, z: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82245?\nAnswer: 3, 5, 5483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5566391*a**3*i - 5*a**2 + 62837*a*i wrt a.\nAnswer: 33398346*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**4 - 4914*t**3 - 255816*t**2 - 4378350*t - 24894171 = 0. What is t?\nAnswer: -17, 1689","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/((-840)\/50) + 25\/6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of n**5\/450 - n**4\/90 - n**3\/15 - 44*n**2. Factor r(z).\nAnswer: 2*(z - 3)*(z + 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 - b**2 - 3*b**2)*(-3 + 3 + b**2) + (-1 + 1 - 1)*(21*b - 8*b - 16*b**4 - 11*b).\nAnswer: 14*b**4 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 7901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2695 divided by -539.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 19*h**3 - 4*h**2 + 4*h - 4. Suppose -13*b - 26*b = -156. Let c(d) = 20*d**3 - 5*d**2 + 5*d - 5. Give b*c(p) - 5*o(p).\nAnswer: -15*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 - 2. Let n(t) = -35*t**3 + 8*t**2 - 4*t - 18. Let j(b) = -6*l(b) + n(b). Does 10 divide j(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25209 to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -2*b**3 - 3*b**2 + 2*b - 1. Let r(u) = 22*u - 134. Let d be r(6). Calculate j(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3547.784 years?\nAnswer: 42573.408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bj when two letters picked without replacement from wjjbwbbwbb?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.9 minus -264104565?\nAnswer: 264104567.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11\/44)\/((-6)\/(-16)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -274*s**2\/5 - 40*s + 74\/5.\nAnswer: -2*(s + 1)*(137*s - 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 831 and 19?\nAnswer: 15789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 12*a + 23. Suppose i - 4*z = -23, z + 3*z = 12. Let q be n(i). Let h = 1001 - q. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/3)\/(145\/(2903190\/188)).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3596 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*a - 4. Let s(y) = 5*y + 3. Calculate the least common multiple of s(1) and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-13 - (15 - 28)) + 59\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*f - 34 = -69*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4366 - -4376. Calculate the highest common divisor of 108 and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3482.26 + 0.\nAnswer: -3482.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 7*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*g**3 + 270*g**2 + 286*g**2 + 166*g**2 - 3 to the form w + m*g + d*g**2 + q*g**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2*1)\/(9 + -8). Let t be 9 - (i + 0 + -3). Is t >= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (36822\/(-216))\/17. Let m = -12184 - -219245\/18. Let x = m - l. Find the common denominator of 31\/18 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1837119927.\nAnswer: 3, 29, 317, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 9*a + 137. Calculate the remainder when 150 is divided by p(-11).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 6, -27307 in ascending order.\nAnswer: -27307, 6, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -4202*o**3 + 16812*o**2 - 16824*o + 16 = 0.\nAnswer: 2\/2101, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -44 (c) 7 (d) -57\/5 (e) -0.074\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b**2 - 8774*b - 409608. Calculate u(-48).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 73632546833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -1400.\nAnswer: -1\/1400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 47.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2278 + 2278. Which is the closest to 0? (a) 1 (b) h (c) -192\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -466 - -225 - -243 - (-1 - 0)*-91\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2446, 5080, 7910, 10936, 14158?\nAnswer: 17576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 101 + -271. Let x be (-6)\/(-8) - t\/40. Find the third derivative of -7*f**5 + 2*f**2 - 5*f**2 + x*f**2 wrt f.\nAnswer: -420*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + (-9 - -4) + -18 - -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 954 by 159.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/p**(-1\/3)*p)\/p**(1\/7)*p*p**(2\/17)*p**(-7)*p)\/((p*p\/(p\/(p\/(p**(-2)*p))))**(6\/5))**(-3\/34) assuming p is positive.\nAnswer: p**(-2453\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1068*p - 5*g = -1066*p - 53, -5*g = p - 34 for p.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*u - 50 = 100*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156935.\nAnswer: 5, 31387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, n: 1, c: 3, g: 6, r: 1}. Give prob of sequence gnz.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/485750 and 17\/7250.\nAnswer: 485750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 12:11 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**2 - 18*x + 31. What is q(3)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -245864 at least as big as -245863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/(53865\/(-30)))\/(8\/14)?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1222998?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -280 (base 15) in base 4?\nAnswer: -20322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z + 2*z**2 - 4*z)*(-2*z + 9*z + 2*z) + z - z - 2*z**3 + (3*z**2 - z**2 - 4*z**2)*(-z + 0*z - z) + 2*z**3 - z**3 - 2*z**3 - 2*z**3 + 4*z - 4*z.\nAnswer: 17*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-33)\/22*((-9)\/(-3))\/18)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*c + 25*c + 7*c)*(-2*c + c - 2*c).\nAnswer: -183*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/4 and -73\/10282.\nAnswer: 20564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wvvvwv. What is prob of sequence wv?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2260 divided by -113?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -18\/311, -0.2, -5, 1 in decreasing order.\nAnswer: 1, -18\/311, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that 5\/3*a**4 + 1\/3*a**5 + 0 + a**2 + 0*a + 7\/3*a**3 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*v - 2*l + 1, 58 = 5*v - 3*l. Suppose -4*k + 3*j = 1, -k + 5*j = 12 + 1. Solve -2*w = -k*t + 4, -t - 3*w - v = -5*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32.212 - 32.412. Let p = 1\/35 - -31\/140. Which is the third biggest value? (a) t (b) p (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7259176, -14518351, -21777526, -29036701, -36295876?\nAnswer: -43555051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364501 is divided by 91122.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -230068*0.5.\nAnswer: -115034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - 2 + r + 2 + r**3 + 1 - 5 - 2*r**4 to the form y + w*r**3 + b*r**4 + s*r + n*r**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 449603.\nAnswer: 7, 11, 5839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -173310*z**2 + 24*z + 12109333?\nAnswer: -346620*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1137319 + -1137325.100088. Let d = 80.9 + -87. Let r = t - d. Round r to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, e: 2, b: 2}. Give prob of picking 1 b, 1 e, and 1 q.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2877502 to the power of 1\/2, to the nearest integer?\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h - 4. Let z be k(0). Let n = 1131 + -1133. Put 0, n, z in descending order.\nAnswer: 0, n, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 8547?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204 by 27149.\nAnswer: -12\/1597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 13*o + 70. What is the greatest common divisor of 20 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 260735.\nAnswer: 5, 52147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 217*o - 423*o + 2 + 88*o**2 + 209*o as z*o + k + c*o**2 and give c.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 591995561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311806716.\nAnswer: 2, 3, 13, 1998761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -5*(-4 + sqrt(300)*-1))**2 + -6*(-1*sqrt(300)*-1 - 6*-1*sqrt(300)).\nAnswer: 1980*sqrt(3) + 8076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.2681 + 0.249. Let l = c - -0.02. Round l to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 2*b + 2*m + 8, 0 = b - 3*m + 15. Calculate the remainder when 52 is divided by (-328)\/(-18) - (-2)\/b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -32 (b) 2\/55 (c) -3\/7 (d) 0.5 (e) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/2 of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 232933062 to the nearest integer?\nAnswer: 615","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of 2*p**3\/3 + 4*p**2 + p. Suppose -469*c - 36 = -475*c. List the prime factors of y(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = -107 - 261. Let f = a + 49. Solve 0 = -4*c + f - 7 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.4 and 46892.093812.\nAnswer: 46891.693812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, a: 4, n: 1, p: 4, x: 1}. What is prob of picking 1 n and 1 a?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26083*t = 26509*t + 1278 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58 + 8?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9394 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -11. Let c = 14 - h. Suppose 0 = -c*l + 10*l - 5. Solve -l = -k + 2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/3 - 11512*i**2\/3 + 16554250*i\/3 + 33154564\/3.\nAnswer: 2*(i - 2879)**2*(i + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.08\nAnswer: -0.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - (64437\/10152 - (-1)\/(-8)). What is the closest to -23 in 1\/3, -2\/5, y, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**2 + g + 1. Let y be z(-1). Let p be ((-4)\/y)\/(2\/3). Let s = p + 3. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 5*j + 54. Let i(u) = 20*u + 308. Let b be i(-15). Solve b = j*a - 2*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/18 and -59\/1216.\nAnswer: 10944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 7*r**2 - r - 5. Determine v(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1319*o**3 + 198 with respect to o.\nAnswer: -3957*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 - 0.1. What is the closest to -1 in 2\/13, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 0*a + 4*j - 12, 3*a + 9*j = 15 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5255476*t**6 + 21*t**4 + 1085699*t**2 - 17*t + 2.\nAnswer: -630657120*t**3 + 504*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 368 = -15*d + 997 + 3556. Calculate the highest common divisor of 60 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4)\/(-3)*-6*-18?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 130 + -137 + -1 + 4 + 1\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/55 - -7\/11. Put 1\/7, 5, 1.9, c, -0.2 in descending order.\nAnswer: 5, 1.9, c, 1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7400369?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 9460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0025 * 1.44.\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k. Let j(f) = -2*f - 2. Let t(q) = j(q) + 4*v(q). Give t(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/1203 less than or equal to -3\/30589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/8 + 125\/4. Let g = q + 4. What is the remainder when g is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 - -53. Let r = -24 + g. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.119, 97, -0.3, 1.\nAnswer: -1.119, -0.3, 1, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23 - 10) + (-5 - 1).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 6*s**2 + 26*s + 25. Let l be n(-1). Suppose 0*b + 84 = 4*b + 2*f, -l*b + f = -98. Solve -4*t = t - b for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10148\/15 > 677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 44425?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, s: 4, q: 8, z: 1, k: 1}. Give prob of picking 1 v and 1 k.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -4*j - 2. Let p be (4 + 24)*(6\/8)\/3. Suppose -p = -13*b - 111. Let s(k) = 3*k + 1. What is b*s(g) - 5*d(g)?\nAnswer: -4*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -96 - -398. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32040 or 64079\/2?\nAnswer: 64079\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k - 88. What is the least common multiple of p(-21) and 3?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -15. Let c = y - 9. Determine w, given that -3*w - w**2 + 10 - 10 - c*w**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 2*p + 22 = -7, -b = 4*p - 27. Suppose -b*i - 18950 = -36*i. What is i rounded to the nearest one hundred?\nAnswer: 3800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/10 and -85\/1448.\nAnswer: 7240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.034 and 0.0718?\nAnswer: 0.0024412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -581125.21 to the nearest ten thousand.\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Express (7*k**2 - 60 + 60)*(3*k - 3*k + 3*k)*(-231 - 15*k + 231) in the form r*k**2 + f*k**4 + s*k + d*k**3 + v and give f.\nAnswer: -315","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (504\/1470)\/((-116)\/203)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g - 5*g + g - 4*g. Let y(i) = -5*i. Calculate y(z(w)).\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13340145 (base 8) to base 10.\nAnswer: 2998373","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1452 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2479 + -2474. Let g = 2 + -4. Let u = 7 + g. Solve -u*x = 2*i + 1 - 11, -5*x = 5*i + q for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*v + 11 + 1340 = -v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 2)\/(1\/6).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 142 + -270. Let j = 35 - f. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the third derivative of t**5\/60 - t**4\/4 - 19*t**2. Calculate c(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 157036?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5.47 - -3.48. Let j = -0.01 + d. Which is the second smallest value? (a) 0.5 (b) -5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 20 - (-14 - -33).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107034 is divided by 497.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -5, -9\/5, -0.3, 1\/11 in descending order.\nAnswer: 1\/11, -0.1, -0.3, -9\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 less than 23179384?\nAnswer: 23179334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fourty-eight fifths of a gram?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 73117 and 34?\nAnswer: 146234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.1 (b) -201 (c) 2\/19 (d) 1\/40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**4\/5 + 13446*u**3\/5 - 202221*u**2\/5 + 129552*u + 863424\/5 = 0.\nAnswer: -4497, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (5 - (-3 - -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53*d*z**3 + 38276*d*z**2 - 15048047*z**3 wrt d.\nAnswer: -53*z**3 + 38276*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*s**3 + 11065*s**2 - 29385*s - 11025 = 0. What is s?\nAnswer: -1\/3, 3, 735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3306446, -6612875, -9919304, -13225733, -16532162?\nAnswer: -19838591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 349167538 to the power of 1\/4, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21*i**4 + 368*i**2 - 4782*i - 228097901.\nAnswer: 84*i**3 + 736*i - 4782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*y**3 - 185*y**3 + 83*y**3.\nAnswer: -316*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 p when two letters picked without replacement from {g: 2, i: 1, d: 1, p: 1, j: 5}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 7842*h - 297970. Determine n(38).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 900 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 470250?\nAnswer: 2, 3, 5, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**4 + 16*f**3 + 310*f**2 + 854*f + 878. Let b(q) = -q**3 + 2*q**2 + 2*q - 1. Let j(c) = 44*b(c) - 2*p(c). Factor j(z).\nAnswer: -4*(z + 3)*(z + 5)**2*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = 4*z - z - 6, -z = -4*a + 15. Suppose -35*n + 28*n - 245 = 0. Let c = -35 - n. Solve 0 = -a*m - 3, -2*u + 3*m - 7 + c = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 + 0)*((3*i - 1 + 1)*(-i - i + i) + 8*i - 10*i**2 - 8*i).\nAnswer: -52*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 8*n - 6. Let v be o(8). Let x be (v\/(-30))\/((-1)\/(-2)). Factor -2\/5*r**2 + 0 + 0*r - x*r**3.\nAnswer: -2*r**2*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62*r**2*t**2 + 13*r**2 + 1551*r*t - t**2 wrt r?\nAnswer: 124*t**2 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 90390 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(0*l**3 + 4*l**3 + 45*l**3)*(2*l**2 - 9 + 2*l + 12 - 5).\nAnswer: -98*l**5 - 98*l**4 + 98*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2000 = w - 2*j - 460, -4*j = 12. Let m = -661 - w. Is m a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 3*j + 254 = -5*t + 15*t, -t + 6 - 25 = -24 for j.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jwjw when four letters picked without replacement from {w: 3, j: 15}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4325 (base 10) to base 9.\nAnswer: -5835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 2*z - z = 63, u + 33 = -2*u + 2422*z - 2419*z for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**2 + 160704*z - 67778944 = 0.\nAnswer: 424, 79928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 11*y**2 + y. Let b(p) = -6*p**2 + 7*p + 9. Let m be b(5). Let c = m - -105. Calculate d(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5162 minus 4?\nAnswer: 5158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*p**2 + 32801424*p - 32801428.\nAnswer: 4*(p - 1)*(p + 8200357)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 94*u + 810*u - 130*u - 2*u + 3*u - 3*u + u + 0*u + 0*u - u - 3*u + 2*u + 2*u - 5*u + 2*u + (2*u + 3 - 3)*(5 - 3 - 3) - 2*u - 4*u + 4*u + u + 3 - 3.\nAnswer: 767*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1931*x - 881*x - 503 = 939*x + 3937 for x.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 0.42 in decreasing order.\nAnswer: 3, 1, 0.42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*z + 26*z - 15 = 0. Suppose -5*s + 579 = r, 40 + 189 = 2*s + z*r. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15042?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5.1, 10.05, 0.03, 2, -3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -6 - -15)\/((-11529)\/(-42)).\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517507 to the power of 1\/2, to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24450 and 120.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s**2. Let q(c) be the third derivative of c**6\/360 + c**3\/6 - 3*c**2. Let b(n) be the first derivative of q(n). What is b(u(a))?\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*q - 6, 2*q - 2*o - 8 = -2*q. Let x(k) = 4*k**2 + q*k + 0 - 5 + k - 2*k**2. List the prime factors of x(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1456161*k**5 + 1663659*k**2 wrt k.\nAnswer: 87369660*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/7, -5, -5191.8, -3\/7.\nAnswer: -5191.8, -5, -11\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 42389111 less than -6.537?\nAnswer: -42389117.537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 0*a**3 + 191 + 27\/2*a**4 + 0*a**2 - 20*a. Find the first derivative of r(o) wrt o.\nAnswer: 162*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 183*m + 1 + 7 - 8.\nAnswer: 183*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-1) - (10 - (22 + -14)). Solve 0 = 2*j + 5*m + 23, 0 = -5*j - d*m + 8*m + 25 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -121200210112?\nAnswer: 121200210120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2158 + 5632. Let l = q + -1724. Let i be (l\/21)\/((-1)\/360). What is i rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of 0 + 5*r + 1\/3*r**3 - 3*r**2. Give l(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.5161 - 12004.\nAnswer: -12005.5161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2883 equal to -2900?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 0. Let p be 1*n*4\/20. Let q = -0.1 - -0.6. Which is the smallest value? (a) p (b) 1\/7 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 6*b = -16, -19 = 5*t - 545*b + 542*b for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8211*n**2 + 0 + 13968*n**2 + 0.\nAnswer: 22179*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + 8*v**2 - 3*v - 7. Let f(y) = -y**3 - 7*y**2 - 6*y - 6. Let d be f(-6). Is g(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109751727*g**4 + 2*g**2 + 133036942*g wrt g.\nAnswer: 1317020724*g**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 286147 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7*f**3 + 573845*f - 6368824 wrt f?\nAnswer: -21*f**2 + 573845","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yryyryyryyrxx. Give prob of picking 2 r.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/f**(-19)*f*f\/(f\/(f\/f**25))*(f*f**25)\/(f*f**(-22)*f) assuming f is positive.\nAnswer: f**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 587*l**2 - 3049 + 3049.\nAnswer: 587*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -236*s + 4*q = -231*s + 2, 3*q - 1 = 4*s. Which is the closest to -0.1? (a) -5\/11 (b) s (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 11. Suppose 20 = x - 4*c, v*c + 15 = -x - 3*c. Let s be 1 - -1 - (-13 - (-17 + 1)). Put -3, s, x, 3 in decreasing order.\nAnswer: 3, x, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3897 + -3893. What is the fourth biggest value in b, -0.096, 5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 + 79 + 5 = 4*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-10))\/2 - 2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 473000.2?\nAnswer: 189200.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 647 is divided by 30?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-18)\/(-27) - (-88)\/(-6). What is the tens digit of (-338)\/(-7) + 4\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5813480 divided by -3266.\nAnswer: -1780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -156 - -159. Suppose 5*t = c + 1025, 12*c + 622 = u*t + 10*c. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 3, -3, -5, 48.\nAnswer: -16, -5, -3, 3, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99, -108, -121, -138, -159, -184?\nAnswer: -213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 2*j = -15*u - 32, -4*u - 3*j = -57. Solve -83*g = -78*g + u, b + 3*g = -14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 4*g**5\/5 + 96*g**4 - 1180*g**3\/3 + 396*g**2 - 848. Factor w(k).\nAnswer: 4*k*(k - 2)*(k - 1)*(k + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/84*(3 - 1). Let j be 0\/1*(-3 - -2). Factor -o*t**3 + j + 0*t - 2\/7*t**2.\nAnswer: -2*t**2*(t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446102.2 millimeters to nanometers.\nAnswer: 446102200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52229420 is divided by 13057351?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 7:29 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4)*(-17)\/17)\/((-130)\/(-4))?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 4. Let f be c(-4). Suppose -12 = -2*b + 3*u, f*b - b + 5*u - 1 = 0. Calculate the remainder when 25 is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 32*d - 36*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3032 + -4068. Which is greater: -1034 or k?\nAnswer: -1034","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -466 and -0.04.\nAnswer: -466.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (-2 - -4)*11. Suppose -2*g + o = -47. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 + 15*l**2 - 8*l + 6. What is a(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 166075 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/(-12)*(7\/(63\/3))\/((-37)\/(-666)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 15.53337 months?\nAnswer: 0.12944475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-162)\/(-100))\/9)\/(24\/40)\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 119526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 7. Suppose 12 = 5*v - 3. Suppose -v*l + 2*h = -6, -x*l - 2*l - h + 23 = 0. Solve 3*b + l*f + 26 = -1, 16 = -2*b - 2*f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 167\/23712 and 29\/48?\nAnswer: 23712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of l**3 + 7*l**2\/2 - 3*l - 1433. Let w(f) = -15*f. Calculate w(q(j)).\nAnswer: -90*j - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 96*p**6 - p**5 + 6942*p**3 + 1014*p**2 + 3*p - 127.\nAnswer: 11520*p**3 - 60*p**2 + 41652","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*f - 845 = -56*f + 175 for f.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1363 (base 11) to base 16\nAnswer: -6e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 242278a (base 11) to base 10\nAnswer: 4220215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -16*n + 559. Calculate s(33).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -246*j**6 + 3*j**3*z**3 + 28*j**3 + 5*j**2*z**3 - 218*j*z**3 + 28*z wrt j?\nAnswer: -29520*j**3 + 18*z**3 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5043 and -1.\nAnswer: -5044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.1 and -35.22978.\nAnswer: -214.901658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47 + -44. Suppose h + 6 = -2*i, 0 - l = -3*h + i. Solve o + 1 = 3*u, h*u = 4*o - 3*u - 5 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 878*s - 2603 = -795*s + 12454 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*a**2 + 10*a**2 + 12*a**2)*(-2*a + 3*a - 2*a) - 33*a**3 + 0*a**3 + 75*a**3.\nAnswer: 38*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 + 3 + 0 + 3 - 4 + (-1 + 5 - 3)*(2 - 1 - 2) + 4 + 2 - 1)*(46*x - 4 + 61*x - 94*x).\nAnswer: 91*x - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1038 != 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.050202 + 0.1\nAnswer: 0.049798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-1*-3)\/(1*sqrt(648)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*m - 3*j, -6*m - j - 7 = -7*m. Suppose -4*d + 2*h + 14 = 0, m = -3*d + 2*h + 22. Factor 0*c + 0*c**d + 0 + 1\/2*c**3.\nAnswer: c**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22416*p + 11317*p + 11246*p.\nAnswer: 147*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -156*t + 157*t. What is the third biggest value in 2\/7, 3, 5, t?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 + 9*z**2 + 4 - 15 to u + t*z**2 + j*z and give t.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (((-105)\/(-9))\/(-7))\/((-2)\/6). Suppose d = -5*v - 11, y*d - 17 = 2*v - 3*v. Which is the second smallest value? (a) 0.62 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -783*q**3 - 11*q**2 + 2*q - 16. Suppose 72 = 14*k - 10*k. Let a be n(k). Round a to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79616944.\nAnswer: 2, 11, 547, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/4 and -111\/17680.\nAnswer: 17680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 355.20917 to 2 dps.\nAnswer: 355.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1926343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 217.2 - 217. Let b = 0.1524 - u. What is b rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11537668662 - 3*c - 11537668662.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-13)\/g**(-4\/13))\/((g\/(g*g**(2\/15)))\/g**(-9)))**45 assuming g is positive.\nAnswer: g**(-12612\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -54496 or -54495?\nAnswer: -54495","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 5239174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 87 = -d. Is d a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -5*w - 9. Let q(s) be the first derivative of 3*s**2\/2 + 5*s - 2. Let p(j) = 4*h(j) + 7*q(j). Let t be p(3). Solve -t*b + 2 = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 0\/(-10 - -4) + (6 - 0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*sqrt(192)*-1*-1*1.\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2. Let p(q) = 2*q**2 + 125. What is f(p(a))?\nAnswer: 8*a**4 + 1000*a**2 + 31250","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82, 82, 96, 136, 214, 342, 532?\nAnswer: 796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 70496 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**10)**(-42))**18 assuming a is positive.\nAnswer: a**(-8316)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 2:43 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 136 - 74. Let t = l - 67. Which is the closest to 1? (a) 0.2 (b) 0.1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrr when three letters picked without replacement from hphuuvhhhhurhhhvu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5022156 and 3348104.\nAnswer: 10044312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 94892?\nAnswer: 94892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15991 + -8900. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/20)\/(7\/6)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 73*n - 6493. Let s be k(89). Find w such that -1\/9*w**2 - 36 - s*w = 0.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 + -12. Let t = s - 4. Let d = 4 - 3. Which is the third smallest value? (a) d (b) t (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 7344777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -4394*h**3 + 5070*h**2 - 1950*h + 250 = 0.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 11424?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138992 - 134013 = 383*k for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.22 and 100.\nAnswer: 100.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -5. Let q be 2\/1 - (27 - 1775). Let y(c) = 1 + 874*c - q*c + 872*c. Calculate y(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 + -4 - (0 + -3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -b**5 + 143*b**4 + 4718*b**3 + 45740*b**2 + 121400*b - 172000 = 0. What is b?\nAnswer: -10, 1, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/17868 and 89\/46.\nAnswer: 410964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3*j = -j - 52, r - 4*j = 52. Let n be 2\/8 - 13\/r. Suppose 5*p - 5*q = 90, n*p + 74 = 5*p - q. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (3 - 12 - -13 - -30).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 108 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((3*-6*-1*sqrt(77))\/(sqrt(70)\/(sqrt(120)\/(sqrt(12) - (sqrt(12)*-2 - sqrt(12))))))**2 + -5).\nAnswer: -871\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 + d**2 - 2*d + 1. Let p be 2\/(-7) + 27\/21. Let k be t(p). Let h be (k\/(-8))\/(3\/(-6)). What is the second smallest value in 1, 2\/15, h?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289309361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1880 and 7408.\nAnswer: 1740880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bcbcccw. Give prob of sequence cbbc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 2 + 12 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.334303 rounded to four dps?\nAnswer: -0.3343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 27516551*q. Let c(u) = -4*u. Determine z(c(r)).\nAnswer: -110066204*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 23*l - 18. Let a be t(22). What is the common denominator of ((0 - a) + (-154)\/(-16))*-2 and -47\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*v - 33 = 5*v. Suppose 3*o = k - v*k + 13, 3*o - 3 = 0. Solve c - 3*f - 5 = -6*f, -k*c - 15 = -5*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q**2 - 123*q - 189. Let f be v(63). Solve 3*w - 2*y + 4 + 13 = f, -5*y + 30 = -5*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - (-16)\/(-12)*-3. Let w be ((-12)\/10)\/((-15)\/200). Suppose 2*v + 4 = w. Calculate the highest common divisor of k and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3576 by 6.\nAnswer: -596","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 1\/6*s**4 + 1\/360*s**6 - s**3 + 0*s - 5 + 1\/15*s**5 + 0*s**2. Let k(f) be the third derivative of n(f). Determine k(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7203 is divided by 104.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47609554 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.05*439.\nAnswer: 460.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2275 and 3395.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (634 - 523) + (1 - 78).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 401?\nAnswer: -3\/401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1209 and 2750878?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 10*v + 272 = 0. What is the greatest common factor of 374 and v?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1042 is divided by 37.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 220770 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 40218b + 4?\nAnswer: 402190","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/144 and 53\/8328.\nAnswer: 49968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 4*q**2 - 5*q + 3. Let j be o(5). Solve v = -5*h - 24, -j*v + 2*h = -4*v - 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.185972485 to 4 decimal places.\nAnswer: 0.186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2367*p*x**4 + 289*p*x**3 + 509*p*x**2 - 88*p*x + 11*p + 23*x**4 - 5*x**2 wrt x?\nAnswer: -56808*p*x + 1734*p + 552*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2415 and 431297265.\nAnswer: 2415","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = -30*z + 40 + 32 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 302?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2886110115 and 105.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.065, 1, 2\/25, 4\/5 in ascending order.\nAnswer: 0.065, 2\/25, 4\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -1 (b) 0 (c) -36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/12 + 1072\/96. Solve -v*t + 5*t + 18 = -k, -5*t - k = -12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 40 = -5*j, 2*j + n + 8 = 24. Calculate the highest common divisor of 92 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 496*j**2 + 498*j.\nAnswer: -2*j*(j - 249)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51ab (base 13) to base 9.\nAnswer: 16440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 165679 is divided by 25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -225*o + 3976366 - 268366. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 5*c - 1. Let l(o) = -3*o**2 + 10*o + 2. Let f(h) = 5*d(h) + 2*l(h). Let w be f(-2). Solve 5 = -3*r - 4*i, -13 = -0*r + w*r + 2*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9130 = 369*g + 95 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 131333, -3 in descending order.\nAnswer: 131333, 1, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 + 38*t. Let v(n) = -25 + 27*n - 5 + 1 + 1 + 27. What is o(v(g))?\nAnswer: 1458*g**2 + 918*g - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2\/3 - 10*h\/3 + 11\/3.\nAnswer: -(h - 1)*(h + 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.71 - 1.11. Let d = o + -71.2. Round d to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74675015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -15. Let m = 1 - i. Let r = -0.7 - -0.6. What is the closest to r in -0.3, -0.2, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 3797. Is s(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 143\/350 + 1\/50. Let f = -16.7 - -16.8. Put f, p, -2, -0.5 in increasing order.\nAnswer: -2, -0.5, f, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39492868.\nAnswer: 2, 19, 519643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1.09509 + -0.15\nAnswer: -1.24509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -22*p**6\/3 + 877*p**5\/15 - 88*p**4\/3 + 40*p**3\/9 + p - 43. Suppose h(m) = 0. Calculate m.\nAnswer: 0, 2\/15, 2\/11, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 9 + (-4 - (10 - 8)) + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333685.\nAnswer: 5, 11, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -2 - (-3 + (1 - -6)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 17 = -8 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 11*o - 10. Let r be f(10). Suppose 4*z = -m - 7, 5*m + r*z - 25 = -5*z. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 14765?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1545 - 5?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -b2 (base 13) to base 4\nAnswer: -2101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - (-1)\/(-19582)*(4 - 9 - -97911). Do a and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 46. Let w = 3.94386 - -0.05614. What is the nearest to -1\/3 in r, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10)*z)**49*z**(-16)\/((z\/(z**(22\/3)*z))\/z) assuming z is positive.\nAnswer: z**(-1346\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13785, -13811, -13855, -13917, -13997, -14095?\n\"Answer: -9*g**2 + g - 13777","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 128\/156 + ((-20)\/3)\/10?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1475 and 925?\nAnswer: 54575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 5*y + 3. Let g be n(5). Suppose -g*s = -s - 26. Let w = s - 1. What is the smallest common multiple of 20 and w?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-12) - (-9 - (-18287276)\/(-42)). What is b rounded to the nearest one thousand?\nAnswer: 435000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 39 and 12?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 228 divided by -1?\nAnswer: -228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16) + sqrt(784)*1 + (sqrt(16) - 1*sqrt(64)) + sqrt(16))\/(-5*sqrt(8)*1*4)*4.\nAnswer: -8*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/2320386 and 67\/567.\nAnswer: 438552954","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 885394.1863 minus 0.1?\nAnswer: 885394.0863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100590, -201174, -301758, -402342, -502926, -603510?\nAnswer: -704094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 3:26 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -7, 10, -0.01, -2.9 in descending order.\nAnswer: 10, 5, -0.01, -2.9, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -796*j - 36620 - 7794 = 652*j - 8214 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, 1\/6, 3666209 in descending order.\nAnswer: 3666209, 86, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47 is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 2*m + 3. Let z be d(2). Let n = -2 - z. Find the third derivative of -3*k**5 - k**2 + n*k**5 - k**5 wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/20 + (-21)\/70.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1.33, 166, -6?\nAnswer: -1.33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:00 AM and 3:46 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -1 (b) -2 (c) -426 (d) -5 (e) -13 (f) 5 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -0.4. Sort -0.2, z, 1\/2.\nAnswer: -0.2, z, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p - 10. Let n be m(-7). Suppose 5*r = 11 + n. Let y be 11\/4 + (-2)\/(-8). Solve 3*j = -3*b, -2*b + 4 = y*j + r*b for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -3*a - 2*u - 6, 2*a = 3*u + 13. Suppose 3*d - a*w - 6 = 0, 2*w = 4*d + 4*w + 6. Suppose b - 6*b + 25 = d. What are the prime factors of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9810 and 26559594.\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 s, and 2 j when four letters picked without replacement from ajxjcscjcaacad?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30.65 and 0.0437?\nAnswer: 1.339405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)*3)\/sqrt(7)*-2)\/(-1*(-2*sqrt(72))\/sqrt(6)).\nAnswer: -3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.841 rounded to 1 dp?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1798165546?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y + 0*y - 2*y**3 + (-8*y + 6*y + 9*y)*(2*y**2 - 3*y**2 + 0*y**2) + 16 - 16 + 5*y**3)*(-y - 5*y + 2*y).\nAnswer: 16*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2110221000 - 11?\nAnswer: 2110220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v - 4. Let k be s(-4). Suppose -4 = x - 5. Solve 2*d - w + 2 - x = 0, -5*d - k*w - 9 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 147 - 232. List the prime factors of -4 - d\/(85\/2240).\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2 + 15*r + 7. Let n be z(15). Is n bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23 + -3. Calculate the highest common factor of 10 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-15 + (0 - -8) - -19)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 173, 156, 103, -4, -183, -452, -829, -1332?\n\"Answer: -3*b**3 + 4*b + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2360 and 560?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 405 and 867915?\nAnswer: 867915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20602428989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 4\/3*q**3 + 2 + 0*q**2 + 11*q. Let f(x) = 10*x. Give f(b(t)).\nAnswer: 80*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*t - 30*t = -5*q - 416, 0 = -2*q + 4*t - 176. Which is bigger: q or -55?\nAnswer: -55","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-420)\/(-63))\/((-20)\/(-15))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 8*j - 3186012 = 3*b, 3*j = -9. Round b to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -117128 and -2?\nAnswer: 234256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*s + 4*s - 12*s + (0*s + s - 3*s)*(-2 + 8 - 5)*(-2 + 1 + 2) in the form p*s + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291718.\nAnswer: 2, 7, 67, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -172 + 214. Suppose -10*n = 142 - q. Let h(d) = d**3 + 9*d**2 - 9*d + 4. Calculate h(n).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 - 40*s**2 + 91*s + 63. Is y(-46) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-10)\/40 - (-9)\/4. Let a = 17 + -9. Let s(j) = -5*j + j - 6 + u*j + a. Determine s(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 775*n + 7*n**3 - 24*n**3 - 775*n + 10*n**3.\nAnswer: -7*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 697461 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82003060 to the nearest integer?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 60 = k - 8*z, k + z = 55. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/975498 and -25\/27208.\nAnswer: 698456568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 441 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 11 = 3. Suppose 3*c = -t*c + 5. Solve -2*a + 2*a + c - 2*a**2 + 1 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 8*n - 21. Let h be g(4). Suppose -5*k = 3*p + 7, 5*k - 2*p = -1 - h. Is 9 a factor of (-8)\/(-2) + (75 - k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 10*g = 40. Find the first derivative of 114*p**g + 20*p**4 + 80 - 16*p**4 wrt p.\nAnswer: 472*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u. Let v(o) = -4*o**3 + o**2 + 13*o - 2. Let m(k) = -6*i(k) + v(k). What is m(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*z**3 + 1063*z - 36*z**3 - 420*z.\nAnswer: 2*z**3 + 643*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 2*r + 1. Let o(m) = -5*m**2 + 6*m. Calculate o(l) + 4*y(l).\nAnswer: -l**2 - 2*l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 6*d**2 + d - 1. Let c be s(6). Suppose -25 = 3*x + 2*u, c*x + 5 = -u - 46. Let q = x - -24. What is the highest common factor of 91 and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (0 - -11) - 18) + 6 + -12?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3915692g?\nAnswer: 391.5692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 169*q**4 + 7172*q**3 + 3*q**2 - 2*q + 14378169.\nAnswer: 2028*q**2 + 43032*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + sqrt(132) + (sqrt(132) - (sqrt(132) + 2*sqrt(132)))*5)\/(sqrt(1452)*-2).\nAnswer: 4*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/((-1)\/(4\/4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 10*w = 140. What is the remainder when 109 is divided by w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1368 and 49419.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-32)*z\/(z\/((z*(z\/(z\/z**(-1\/6)*z))\/z)\/z)))**4)**(1\/26) assuming z is positive.\nAnswer: z**(-205\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + 0 + -2 + sqrt(68)\/(sqrt(4) + sqrt(64)) + 1 + -5*(1 + sqrt(17))**2 + (-1 + sqrt(51)\/sqrt(3))**2)*-2.\nAnswer: 108*sqrt(17)\/5 + 146","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4064288653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 = 2*k - 50, 0 = 5*d + 4*k + 45. Let t be d\/(-68) + 3\/(-12). Let l be 10\/24 + 6\/(-9). Which is the nearest to 0? (a) 5 (b) t (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u - 16 = 14 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 456439391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**3*d*x + b**3*d + 7*b**3*x - 3*b**2 + 4*b*d*x + 3*b*x + 2 wrt b.\nAnswer: -18*d*x + 6*d + 42*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 7*f**2 - 7*f + 8. Determine w(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/2, 1\/7, 131 in descending order.\nAnswer: 131, 5\/2, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.66 times 84.87\nAnswer: 56.0142","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -3*r - 2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t - 4*t + 6*t + 6*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -4*t - 18. Let m(l) = 69*l + 7. Let n(y) = 34*y + 3. Let g(h) = -6*m(h) + 11*n(h). Let b be g(t). Calculate the highest common divisor of b and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220 = 4574*c - 4563*c for c.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-4599)\/(-210) + -22 - (-36)\/(-40) - -8)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -735784 + 1602587. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001 rounded to 6 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 4 + -3 + 3. Find the first derivative of 15*b**3 + 5 + 6 - 23*b**c wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121, -390, -845, -1492, -2337, -3386?\nAnswer: -4645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2912)\/910 - 1588\/(-490).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 30. Calculate the remainder when 147 is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5 = -6*f. Suppose -3*h - c + 429 = 2*c, -f*h = 2*c - 709. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q - 5. Let y be d(5). What is the units digit of y + 1 - (0 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 6*j + 10*j.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 41 = 127. Suppose -89 = -2*r - 2*r - 5*u, 0 = -3*r + u + c. Suppose -11*h = -r*h + 25. Is h at least as big as 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 456345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -41925*a - 106. Let n(v) = -3*v**2. Calculate p(n(w)).\nAnswer: 125775*w**2 - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 16. Let a be 312\/6188*-323 + 15 + 1. What is the closest to -4\/7 in -1, x, -1\/6, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 9)\/((-1)\/(-2)*-1). Suppose -19*x + 69 = y. Determine c, given that -21\/2*c**x - 12*c + 41\/2*c**2 + 2 = 0.\nAnswer: 2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.1 - -11.1. Let l be 9\/132 + 3\/(-12). What is the biggest value in l, -3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/(-2) + (-1)\/2. Does 2 divide (w\/(-4))\/((-24)\/(-32))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2333 (base 5) in base 16?\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = s - 198 + 54, -3*s - 5*v = -460. Calculate the least common multiple of s and 1140.\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22365 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 24\/13 (b) 3 (c) 0 (d) -0.1 (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + (-1 - -14) + 2 - (5206 - 5198)) + -6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -43, -44, -37, -22?\n\"Answer: 4*p**2 - 13*p - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1889 + 1888.97943. What is p rounded to three dps?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 213774505, 213774507, 213774511, 213774517?\nAnswer: 213774525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -286 divided by 2.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12, -124, -328, -618, -988, -1432?\nAnswer: -1944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*b + 4*b**2 - 222*b - 7*b**2 - 229*b + 675*b.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 254\/(-254)*(-5)\/1. Solve 11 = 2*v - 3*w, 2*v + u*w + 6 = -7 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 95 - (-70 + 118) - (0 + -1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h + h + 18 + 9*h - 6*h. What is the remainder when 39 is divided by q(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 134*k - 136*k - 114. Suppose -2*h + z + 46 = 2*z, h = 2*z + 23. Calculate the remainder when 85 + (k\/38)\/(3\/(-8)) is divided by h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 11*q + 0 + 1\/140*q**5 + 0*q**3 - 6*q**2 + 1\/56*q**4. Let f(p) be the first derivative of b(p). Factor f(w).\nAnswer: 3*w*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 3*u - 2*u)*(1 + 0 + 3)*(-1 - 4 + 6).\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 844 - 844 + 10*t**2. Let c(i) be the second derivative of -i**4\/4 + 4*i. Give j(c(z)).\nAnswer: 90*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1062769 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 124020587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2320310 (base 5) in base 14?\nAnswer: -1140b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1884, -3770, -5646, -7506, -9344?\n\"Answer: k**3 - k**2 - 1890*k + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 + 6 - 1340*x + 3*x**3 + 1341*x to o*x**3 + u*x**2 + d*x + h and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -118*a + 55. Let d be l(3). Is d less than or equal to -298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14580?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 d when two letters picked without replacement from gdqddajjgjdd?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iww when three letters picked without replacement from {i: 3, w: 8}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 705441567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 304 divide 233821904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 49*y + 172. Let p be g(-52). Solve -k + 3*c = 17, -4*c + 12 = -4*k - p for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*o = 13, 11 = 2*k - 4*o + 3. Let m be 25\/2 - (-2)\/4. Suppose x + 0*x + m = 3*f, -2*f - x = -k. Solve -2*t - 1 - 5 = w, 0 = -w - t - f for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 0 + 6 + v - 2. Suppose 11*h - 9*h - 6 = 0. Give z(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21287 - 21275. What is the remainder when 890 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9547909 times -0.2\nAnswer: 1909581.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -6. Let o = -1 + m. Which is the third biggest value? (a) o (b) 0.2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - -7) + (12 - -3) + -7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-497)\/(-35) + (-1)\/5. Solve 2*n + s = 9*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 5*q - 1518 = 0, -4*d + 3*q = 6*q - 2035. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -316895*h**5 + 4*h**2 - 822*h + 2.\nAnswer: -19013700*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*a**2 - 1704*a + 17152 = 0.\nAnswer: -32, 268\/35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 4*k - q + 31, 0 = 2*k - 3*q - 26. Suppose k*a - 3*a = 8. Suppose 5*x - 10*x = -3*o - 6062, 0 = -a*x + o + 2425. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 2:06 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + b - 2. Let v be x(4). Let p = -20 + v. Let k = p - -9. Calculate the remainder when 12 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-252)\/546 + (-10)\/(-55) + 14288\/42900 and -17\/495?\nAnswer: 2475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52014096 and 3612090?\nAnswer: 260070480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1338*u = 1305*u - 792. Let t(a) = -3*a - 91. Calculate t(u).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3141\/4*m + 6861\/4*m**2 + 135\/2 - 7605\/4*m**3 - 54*m**5 + 2301\/4*m**4 = 0. What is m?\nAnswer: -2\/9, -1\/8, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 13*f**2 + 3*f - 32. Let y be j(13). Solve 3*v = 5*b + 20 - 7, y = v - 3*b for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(1\/6)\/((-20)\/(-30))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11763636 divided by 10617?\nAnswer: -1108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (101\/(-4))\/(3\/(-1 + -347)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114750 by -85.\nAnswer: 1350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/18 and 20\/27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 4*v + 20. Suppose -v*l = -5*w + 4 + 1, -4*l - 4 = -4*w. Which is the smallest value? (a) -0.3 (b) -3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (45\/(-20))\/((-1)\/(-4)). Calculate the lowest common multiple of (12\/n)\/(2\/(-21)) and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 8\/3*d + 4\/3*d**2.\nAnswer: 4*d*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 147\/28 + 1*(-5 + 3) - 4. Put 149, h, -1\/10, 1\/4 in decreasing order.\nAnswer: 149, 1\/4, -1\/10, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11173228\/9 - 1243824. Let j = 2351 + v. Calculate the common denominator of j and 103\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 312\/11 - 630\/11*h + 324\/11*h**2 - 6\/11*h**3 = 0. Calculate h.\nAnswer: 1, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1020694 + -6.3\nAnswer: -1020700.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -11, -3 in descending order.\nAnswer: 2, -1, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -88775*g. Let h(k) = 6*k. What is h(x(f))?\nAnswer: -532650*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and 0.165?\nAnswer: 0.0495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in five quarters of a micrometer?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 1. Let a(x) = x + 17. Give -a(y) + 4*l(y).\nAnswer: -y - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 3*h**2 - 11*h + 13. Let n = 71 + -9. What is the remainder when n is divided by p(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -109*c**2 - 42*c**2 + 2149*c - 80*c**2 + 339 - 2149*c wrt c.\nAnswer: -462*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 - ((-6)\/1)\/(9 + 30\/(-4)). Solve 10*m - 7*m = l + v, 5*l - 27 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*((1 - 1) + 2). Let b = 117 - 115. Suppose 3*a - 17 = 5*g, h*g = -b*a + g + 33. What is the highest common divisor of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 5:57 AM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3 + 0 + 20*z + 82*z**2 - 37*z**2 - 44*z**2. Let w be t(-20). Solve 2*b + 4*f - 26 = 0, -w*f + 11 - 4 = -b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.79 or 331?\nAnswer: 0.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of k**7\/14 + k**5\/6 + 4*k**2. Find the third derivative of w(g) wrt g.\nAnswer: 360*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(95)*-1 - sqrt(95)) + sqrt(95)) - sqrt(95))\/(sqrt(20)\/sqrt(36)).\nAnswer: 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*f - 18*f = -22. Let b = f + 27. Let c(l) = 2*l**2 - 6*l + 5. Is c(b) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21280 divided by -5\nAnswer: -4256","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (198 + -203)\/(21\/(-108) + (-4)\/18). Solve -5*k = 3*z - 3*k - f, 2*z - 8 = 3*k for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, j: 2, o: 3, m: 2, n: 1}. Give prob of sequence nq.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3174703 or -3174707?\nAnswer: -3174703","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 PM and 5:21 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 - 3*q + 3*q)*(3 + 0 + 2)*(3*q - q + 0 + 1).\nAnswer: 10*q**4 + 5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/7*6\/9. What is the smallest value in -5\/3, z, 1?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15293 by 86.\nAnswer: -15293\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 171*c + 1435 = 377*c - 213 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*u + 2*u + 0*u)*(2 - 4 - 3)*(67 + 48 - 44) + (4*u - u - 2*u)*(-4 + 4 + 2))*(-3 + 3 - u).\nAnswer: 1773*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 6:32 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*v = -98*v - 2100. Calculate the smallest common multiple of 455 and v.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23462 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3231 divide 2595720780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -o - 30. Let y(j) = j**3 - 7*j**2 + 7*j + 4. What is the smallest common multiple of y(o) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + k. Let a = 8 + -5. Suppose 2*b = a*b - 2*f + 3, b - 5*f = -9. Determine l(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 382 divide 2148284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.01 (c) 4 (d) -132047 (e) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -180*o. Let n = -245 + 280. Let j(d) = -13*d - 16*d + n*d - 7*d. What is j(h(v))?\nAnswer: 180*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 13. Let c be a(-12). Suppose 2*h = 2*z - c - 15, 3*z - 29 = -2*h. What is the least common multiple of z and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/8*(-71)\/(-355)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p**(1\/9)\/p)*p)\/(p**(-1\/8)\/p))\/((p*p*p*p*(p\/(p*p*p**5\/p*p*p))\/p)\/(p*p**(1\/5)\/p*p))*(p\/(p*p**6\/p*p)*p*p*p**4*p*p)**(-38) assuming p is positive.\nAnswer: p**(-24043\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13441?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 w, and 1 o when three letters picked without replacement from {m: 2, o: 1, b: 1, t: 8, w: 5}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -55.93. What is the closest to -1\/3 in -2\/9, 5, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31481, -31483, -31485, -31487, -31489, -31491?\nAnswer: -31493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*z - 14*z + 1204*z**4 - 462*z**4 - z - 48*z wrt z?\nAnswer: 8904*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 divided by -7976122.\nAnswer: -9\/3988061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-67)\/12 - (-1 - 5))*1856\/(-33640)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 316*s - 35 = 311*s, -4*s = -12 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22280\/3 - 1225574\/165. Let t = x - -5\/11. What is the nearest to -1 in -53, -1\/6, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1629 + 15940. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-109 + 65 - 98)*(-3*h - 6*h**2 + 3*h - 2*h) to g + t*h + o*h**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 2. Let g(f) = 2. Let y = -1445 + 1450. Give y*g(o) - 6*v(o).\nAnswer: 6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17800, -71215, -160240, -284875, -445120, -640975?\n\"Answer: -17805*l**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**3 - 165*m**2 + 3*m - 161. Calculate h(55).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 78 + 10. Let k be 40\/22 + 4\/d. Suppose 49*o + 354 = -214 - 118. Is k at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 149\/7392 and 89\/576?\nAnswer: 44352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 10788498 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 0.13, -4156 in ascending order.\nAnswer: -4156, -1\/6, 0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1087 + 1091. Solve -3*x = -5*l + 2*x + 10, 0 = l - q*x - 5 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.3 + -0.7. Which is the second biggest value? (a) 0 (b) o (c) 4 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -10*n**2. Let l(c) = c - 2. Let w(g) = 9*g - 8. Let y(j) = -4*l(j) + w(j). What is o(y(m))?\nAnswer: -250*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 727*c**2 - 1298*c**2 + 3841*c**2 to i*c**2 + d + f*c and give i.\nAnswer: 3270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004546303293 rounded to 7 dps?\nAnswer: 0.0000455","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013 (base 7) to base 5.\nAnswer: 2403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 613371 + -0.11664\nAnswer: 613370.88336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81 + 33. Let c = p + 53. Suppose -4*r + 7*r - 763 = -c*k, 5*r - k - 1253 = 0. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 6. Let q = 0 - v. Suppose 5*s + 2 + 13 = 0. Which is the nearest to -0.1? (a) s (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00058792262 rounded to seven decimal places?\nAnswer: 0.0005879","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 123123 and 819?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 12)*4\/(-10). Let t(j) = -1 + 0*j + 3 + 4*j + j**2. Does 2 divide t(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.18442t?\nAnswer: 9184420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 102242295 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 14*x - 3*z - 27 = 0, x - 12 = 3*z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 11:08 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 1.0994, 107 in decreasing order.\nAnswer: 107, 1.0994, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4893 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4)\/(f**(-4)\/f*f))\/((f\/(f\/(f*f\/f**(3\/2))))\/f*f\/(f*f**(-1\/6))))\/((f*f*f**(2\/5)*f*f*f)**(2\/29))**(12\/7) assuming f is positive.\nAnswer: f**(-929\/3045)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 528913 or 528859?\nAnswer: 528859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 1 + 46. What is the highest common divisor of q and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.659 + 0.079. Let r = s + -3.82. Let d = 4.3 + r. Is d at most -0.051?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7 + 6\/(94335\/(-47172) - -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 886?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*2)\/sqrt(11)*6.\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/10*(-3740)\/561*-15*4\/(-42).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -8 - -3 - (154 - 177).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0.5, 0, 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 380*h - 648 = 377*h. Does 54 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -32 and -13.49286.\nAnswer: 431.77152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1253 - 64*z**3 - 64*z**3 - 1253 - 63*z**3 + 193*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 4*z**2 + 2*z - 6. Let n be w(4). Let i be ((-4)\/((-40)\/(-45)))\/(1\/n). Calculate the lowest common multiple of 32 and 6*(-3 + 51\/i*-1).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8916060 a multiple of 181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7945*i. Let o(d) = -272*d - 4. Determine h(o(t)).\nAnswer: 2161040*t + 31780","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the second derivative of 0 + 0*o**5 + 0*o**4 - 13*o**2 + 18*o + 1\/15*o**6 - 17\/3*o**3. Differentiate x(l) wrt l.\nAnswer: 8*l**3 - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b**2 + 6*b - 6. Give n(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 23. Let z be (-2 + -1)*1\/(-3). Let o(v) = -v. Let n be o(4). Which is the nearest to z? (a) n (b) l (c) -4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1 (b) -2\/5 (c) 3\/2 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 273 a factor of 123669?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/(-7) - 2\/(-7). Suppose -2*g + 3*u = 0, -2*g + 4*u = g. Suppose g*k - 6 = j*k. Which is the third biggest value? (a) -1\/2 (b) k (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-4)*(-11 - (-11 - (-644)\/(-49) - -12))?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + -24. Calculate the least common multiple of m and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 209759528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -3.5, 0.1, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**7\/84 - 11*o**6\/60 - 21*o**5\/20 - 8*o**4\/3 - 8*o**3\/3 + 173*o + 9. Find k such that t(k) = 0.\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00104793 to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7)*x)\/x**(-6))\/(x**(-1\/2))**(2\/67) assuming x is positive.\nAnswer: x**(3424\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 650245 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = p - 6*p. Let s = 40 + p. Is s a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87023 = 5*t - 19*s + 15*s, -2*s = 4. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44 and 13607?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23*o**2*w + 54*o**2 + 153*o*w**2 + 16*o with respect to w.\nAnswer: -23*o**2 + 306*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 - 476*f**3 - 9890*f**2.\nAnswer: -2*f**2*(f + 23)*(f + 215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3*g**3 + 3. Let x(n) = 3*n**3 + n + 4. Calculate -3*q(o) + 2*x(o).\nAnswer: -3*o**3 + 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*o + 3, -o - 5*a - 3 = -4*o. Let w = o - -2. Is 4 at most w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1421410 + -1?\nAnswer: 1421404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -2166379848.7 and 1738.\nAnswer: -2166378110.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -3*j. Suppose 5*a - 5*i + 35 = 0, -5*a - 2*i - 2*i = 26. Let l be (-32)\/(-40)*(-15)\/a. Solve l*q + j = -4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 at most as big as 206\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((1*sqrt(24))\/sqrt(12))**2.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -3 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5*y + 36 = 0, 5*x + 5*y + 514 = 494 for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1496 - 15?\nAnswer: 1481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.474 - 10.474. What is the biggest value in -0.09, -1, z, -3?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -72, -146, -220, -294, -368, -442?\n\"Answer: -74*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*40\/4)\/(16\/((-1088)\/(-85))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -32. Suppose 0 = 5*p + 4*v + w, 0 = -3*p - 4*v - 23 + 5. Which is the smallest value? (a) -4 (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 9*f - 26. Let k(z) = -z**2 + 1. Let c(v) = d(v) - 4*k(v). Let c(y) = 0. Calculate y.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12\/20 + (-108)\/(-20). Let k(u) = u - u - 3*u + j*u. Let m(w) = -w. Give m(k(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 11:33 AM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 49320.95 to the nearest 100.\nAnswer: 49300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 708626253.84?\nAnswer: -708626254.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -10, -5*l + 0*j + 95 = -j. Suppose 186 = -57*b + 88*b. Let y be 13\/(520\/(-32))*(-51 + b). What is the highest common factor of l and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 7. Determine q(21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of -107*a**5\/20 - 185*a**4\/6 + a**3\/3 + 15*a + 9. What is the third derivative of w(k) wrt k?\nAnswer: -642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -678*i - 1 + 718*i - 2 to the form x + t*i and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 1:16 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000 - 1001101010100011000001?\nAnswer: -1001101010100010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 45823 divided by 5080\nAnswer: 45823\/5080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 489956856 to the nearest integer?\nAnswer: 22135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 210, 884, 1994, 3528, 5474, 7820, 10554?\nAnswer: 13664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -132771.\nAnswer: 2\/44257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 8.03.\nAnswer: 2.409","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 674455 and 58910?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 500788395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0529 and -449.\nAnswer: -23.7521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r**2. Let m(o) = 6*o + 4. Give m(z(g)).\nAnswer: 24*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 320684 less than -2?\nAnswer: -320686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1970, -3286, -8538, -13786, -19030?\n\"Answer: 2*o**2 - 5262*o + 7230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f*g**2*p**2 + 7*f*g*p**3 + 4*f*g - 3*g**2*p**3 - 7 wrt f?\nAnswer: g**2*p**2 + 7*g*p**3 + 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -77219870 by -35.\nAnswer: 2206282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -46 - -69. Suppose -8*b = -7*b - c. Is b a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**3 + j + 1. Let f(n) = 3*n**3 - 4*n - 4. Suppose -184 = -y - 3*y. Let d = y + -46. Suppose d*h + 7*h = -28. Determine h*w(b) - f(b).\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 4*c**3 + 21*c**2 + c - 20. Let d be i(-5). Let t(w) = -w**3 + w + 39. Determine t(d).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 547 (base 11) to base 10\nAnswer: 656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -72, -60, -34, 12, 84, 188?\n\"Answer: u**3 + u**2 + 2*u - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -1123?\nAnswer: 1133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 6*w - 4 = 0. Find the third derivative of w*b**2 - 6*b**6 - 7*b**2 + b**2 wrt b.\nAnswer: -720*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**5\/60 - 2*b**4\/3 + b**3\/3 + 11*b**2. Let z be t(16). Let i(r) = r + 8 - 8 - z*r - 3. Let m(o) = -2. Give -2*i(s) + 5*m(s).\nAnswer: 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -251.1 - -227. Let h = -0.73 + 15.13. Let s = h + y. Round s to zero dps.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8013*n + 256 = -8005*n. Calculate the remainder when 313 is divided by n.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -254, -1634, -5380, -12674, -24698?\nAnswer: -42634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 100\/8*6 + -1. Suppose -j = -z - 76. Does 25 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31848 (base 12) to base 11.\nAnswer: -44a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, h: 8, k: 6, g: 1, o: 3}. Give prob of sequence uog.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n - 3. Let u be q(6). Suppose 12 = 6*g - u*g. What is the third derivative of 3*f**g - 3*f**2 + f**2 - 2*f**2 + 0*f**2 wrt f?\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2989 = -3*w + 2314, -3*x - 8865 = -5*w. List the prime factors of w.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8 (b) -0.2 (c) -7\/17 (d) -0.00155\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2*a = -b, 0 = -b + 5*a - 4 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56720050 to the nearest integer?\nAnswer: 7531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 15*d**2 + 2750*d - 25. Let t(m) = -m**2 - 229*m + 2. Calculate 2*o(j) + 25*t(j).\nAnswer: 5*j**2 - 225*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5)\/(q\/(q*(q*q**(-2\/7)*q)\/q*q)))\/(q**(-1))**(2\/17)*(q**(1\/2)*(q\/(q*q**(-4\/5)))\/q)\/(q\/(q\/q**(-1)))**(36\/5) assuming q is positive.\nAnswer: q**(11343\/1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000059789 to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -29, -3, 105, -28 in decreasing order.\nAnswer: 105, 5, -2, -3, -28, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*9 + 9 + -12. Suppose -p - 6 = -2*z. Does 2 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i + 642. Let h(g) = 5*g + 320. Determine -5*h(r) + 3*t(r).\nAnswer: -r + 326","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101011122001200 - 0?\nAnswer: -101011122001200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 69200371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 243 and 4404933?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 474, 1932, 4362, 7764, 12138, 17484, 23802?\n\"Answer: 486*t**2 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 4:43 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16969741?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k + 23. Let y be s(-10). Let i = 0 - 0. Solve -g + y*f = -7, -2*g + g - 2*f - 8 = i for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -2*f - 2*f + 46, -4*i = 2*f + 112. Let x be ((-142)\/8)\/(i\/216). Does 143 = x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137*b**5 - 2*b**4 - 623*b**2 wrt b.\nAnswer: 8220*b**2 - 48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*d = 21 - 7, -4*s + 4*d + 8 = 0. Suppose -5*z + 2*a = -174, 78 = -2*z + 4*z - s*a. Solve 5*j - 3*r = -z, 4*j + 0 = -3*r - 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25908 divided by -10.\nAnswer: 12954\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a factor of 732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 193*j - 456*j - 2294*j**4 + 1229*j**4 - 2 wrt j.\nAnswer: -12780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 10*n - 4 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*g**3*u**3 + 15*g**3*u + 24*g**3 + 5*g**2*u + 19*g*u**5 - 4*u**2 + 2 wrt u.\nAnswer: -96*g**3*u + 380*g*u**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l - 37 - 35 = 0. Suppose 0 = -13*r + l*r - 2. Let t(j) = -j. Determine t(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 15 = 1, 68 = -2*u - 2*o. Is 15\/u*432\/(-2) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3 - 2. Calculate the remainder when y is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -5*w + 2 - 25, f + 3 = -w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 57\/7 of a week?\nAnswer: 82080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/388113 or 1?\nAnswer: -1\/388113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*20201\nAnswer: -4040.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4579 - -4581. Put -31, -4, m, 7 in decreasing order.\nAnswer: 7, m, -4, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 8*a + 5. Let l be o(9). Let v(i) = -i**3 + 14*i**2 + 5*i - 25. Let d = 1 - -7. What is the remainder when v(l) is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 7 (c) 4\/5 (d) -2\/15 (e) 0.02 (f) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 12*i**2 - 13*i. Calculate h(-11).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -14 in decreasing order.\nAnswer: 4, 0, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(2448) + sqrt(2448).\nAnswer: -4 + 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59064.1 grams to kilograms.\nAnswer: 59.0641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61386*z**5 + 337*z - 115?\nAnswer: 1227720*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 + u - 3*u - 2 - 4*u**2. Let y(p) = -25*p**2 - 17*p - 17. Suppose 38*w + 9 = 34*w + 3*i, -1 = -4*w + 5*i. Determine w*y(s) + 51*v(s).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -173*y + 70. Let f be o(-10). Suppose p - 3*u - 10075 - f = 0, p = -5*u + 11843. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 5) + (3 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2881560 and 9435?\nAnswer: 48986520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*j + 278 - 53. Calculate the remainder when 622 is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -1726*n**2 - 5*n - 4. Let v(c) = -3452*c**2 - 11*c - 9. Let h(o) = -13*p(o) + 6*v(o). Let i be h(2). What is i rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 24*m + 770. What is i(-32)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + -3. Let w = -0.6 + 0.8. Which is the nearest to w? (a) -1\/7 (b) 2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -6. Let v = 4.079 - 0.079. What is the closest to -0.3 in 1, v, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/27? (a) -2.65 (b) 5 (c) -4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Suppose 2*p - 8 = -u. Solve p*o = 5*s + 26, -4*o - 4*s = -0 + 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 8:49 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = 5*m - 371. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2986 - -3328. What is the remainder when o is divided by 70?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 3*v - 12 = 2*v, 0 = -2*l - v + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 274695044 to the nearest integer?\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13705404?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 108.67878ns to days.\nAnswer: 0.00000000000125785625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 304193107 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3109419 divided by 3109419.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 16383664.\nAnswer: 16383668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + z + z + 26, 5*z = 0. Let f(w) = w + 3. What is the remainder when v is divided by f(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15.8 times 5\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*c + 984 = -35*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 4056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 3*q - 5*q + 142, 2*q + 23 = x. Let w be 5 + (-2)\/(-3) + (-88)\/x. What is the smallest value in w, -2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 7 - 6\/9?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 71*c - 1867. Calculate the lowest common multiple of 1490 and v(27).\nAnswer: 7450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 10*h - 7. Let j be g(-9). Let y be (13 + (-348)\/28)\/(2\/63). What is the highest common divisor of j and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -111*q + 3169*q**2 - 3241*q**2 - 1 - 3. Let g(v) = 146*v**2 + 221*v + 9. Let a(k) = 4*g(k) + 9*n(k). What is the second derivative of a(i) wrt i?\nAnswer: -128","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -284, 2, -62, -4, 4, -2 in descending order.\nAnswer: 4, 2, -2, -4, -62, -284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-402 + 156 - 511)*(3*b**2 - b**2 - b**2)*(-4*b**2 - 2*b**2 + 0*b**2).\nAnswer: 4542*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1472064309 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 619.234 - 619.334. Suppose -11 = -2*g - 1. Which is the fourth smallest value? (a) 2 (b) p (c) -6 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 56\/10 + 369\/(-54) + 30\/36. Which is the nearest to -7? (a) -1\/3 (b) n (c) -1 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4335 + 4334.9999995082. What is u rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2702, 10807, 24312, 43217, 67522, 97227, 132332?\nAnswer: 172837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 0 + (sqrt(605) - (1 + sqrt(605) + sqrt(605))**2) + -1.\nAnswer: -2423 - 33*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -276556, -277036, -277512, -277984, -278452, -278916?\nAnswer: -279376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -14, 0.096, 2, 4, -5, 1?\nAnswer: 0.096","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -7 - 13, 5*l + 4*z = -5. Suppose -4*v - 5 = 5*p, -p + l*v + 9 = -3*p. Calculate the greatest common factor of p and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4504.7 rounded to the nearest ten?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12187 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 14, w: 1}. Give prob of picking 1 c and 1 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 1.1574215.\nAnswer: -5.7871075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417 is divided by 39?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2428 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = 3*g + 4 - 18, 2*g = 4*z - 24 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of 2*k**4 + k**2 + 5716*k. Let p(n) be the third derivative of -n**5\/30 - 3*n**2. Calculate p(m(h)).\nAnswer: -1152*h**4 - 192*h**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 291 = 13*l - 125. Let a = l - -77. Calculate the remainder when a is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123302125.8ms in weeks?\nAnswer: 0.2038725625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -175*q - 3277. Give w(-17).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 p when four letters picked without replacement from {l: 1, s: 2, w: 6, p: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 19*c**2 - 19*c + 81. Calculate the remainder when k(20) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137*h**3 - 124*h**3 - 10*h - 32*h - 111*h**3 + 380*h**3.\nAnswer: 8*h**3 - 42*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 833 + -467. Suppose 2*p = -p + 3*k + i, 3*k = p - 122. List the prime factors of p.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1922632 divided by 9112?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496155335 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 10:16 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/13794 and 167\/7524.\nAnswer: 82764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 4:26 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9769, 9777, 9787, 9799, 9813, 9829?\n\"Answer: u**2 + 5*u + 9763","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z - 1. Let k be n(3). Let v(p) = 3*p. Let a be v(k). Suppose -a*f + 3*f = -21. Calculate the remainder when 13 is divided by f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 3*w**3 - 2*w**2 - 7*w**3 + 3183 - 2*w - 2*w.\nAnswer: -10*w**3 - 2*w**2 - w + 3183","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59619 a multiple of 501?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 398041506 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 4*t. Suppose -g + 3*g - n - 9 = t, 4*n + 6 = 2*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1235 divided by 5\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2*2\/6*-1\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74906?\nAnswer: 2, 13, 43, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 - 2*f**2 + f - 40. Let k(y) = -2265*y**3 + 1816*y**2 + 2*y - 80. Let i(l) = -k(l) + 2*p(l). Find the third derivative of i(g) wrt g.\nAnswer: 13602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 230 = -3*n. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 + 55*k**4 - 459*k**3 + 405*k**2.\nAnswer: -k**2*(k - 45)*(k - 9)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.02 + -5. Let m = t - 0.01999856. What is m rounded to seven decimal places?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22 + (5 - -99) - 65.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7626\/18 - (-100)\/(-150). Solve 2*m + q - 428 = -h, -35 = -5*m + 5*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -307 and -2.668067?\nAnswer: 819.096569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 319852 divided by -31\nAnswer: -319852\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*0.23.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*u + 12*u - 10*u**2 to n*u**2 + h*u + w and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84567659 is divided by 257?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 i when four letters picked without replacement from kqiiqkkkqqkqqikqi?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 76793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 12 + 37 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from vrvrrrrvvvvvv?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 11*h = 3*m - 50, -4*m - 3*h = -115. What is the remainder when 322 is divided by m?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121143.\nAnswer: 3, 11, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 33*a. Let g(c) = 9*c**2. Calculate p(g(z)).\nAnswer: 297*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - 5. Suppose 53 = 8*k - 27. Let v(n) = n**3 - 3*n**2 - 4*n + 6. Let h be v(4). Solve 2*f + k = 4*p, -o*p = 4*f + 16 - h for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**30*m\/m**(5\/6))**(-4) assuming m is positive.\nAnswer: m**(-362\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eadlc. Give prob of sequence dal.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89369 is divided by 49.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -127, -671, -1759, -3541, -6167, -9787?\n\"Answer: -25*q**3 - 122*q**2 - 3*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 280 and 1640?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 32 - 24 + 2*x - 4.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/c**(-6)*c**(5\/7) assuming c is positive.\nAnswer: c**(54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30439 - -30440. Let f be (-34)\/(-8) - (-1)\/(-4). Solve g - f = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 970, 1493, 2016, 2539, 3062?\n\"Answer: 523*f + 447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.07 + -2.07. Let k = c - -1.8. Which is smaller: k or -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -16\/3*k**4 + 152\/9*k + 0 + 2\/9*k**5 + 206\/9*k**3 - 104\/3*k**2 = 0. Calculate k.\nAnswer: 0, 1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 l, 1 w, and 1 j when four letters picked without replacement from {w: 4, j: 2, b: 1, l: 4}?\nAnswer: 16\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25\/6)\/(-5)*(-33)\/110.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 29\/((-2755)\/(-390)) - (-3 + 7)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*b - 8 - 3*b + 3*b.\nAnswer: 11*b - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 5*w + 168 = -153, -3*d + 504 = -3*w. What are the prime factors of d?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-3 - 74) - (-15087 + 15129).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4342 + 4341.8. Put 68, k, -0.3 in ascending order.\nAnswer: -0.3, k, 68","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 4*r - r)*(0 - 3*r**2 + 0) + 68*r**3 - 22 + 26 - 4*r - 22*r**3.\nAnswer: 43*r**3 - 4*r + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 899222115?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900) - sqrt(1089)*-1)\/(-2*sqrt(12) + sqrt(12) - sqrt(12) - (-2*sqrt(15))\/sqrt(5)).\nAnswer: -21*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 46*u. Let t(l) = 30*l - 55. What is t(c(h))?\nAnswer: 1380*h - 55","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 114 and 2.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42245377?\nAnswer: 271, 155887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 - 10001100010110100?\nAnswer: -10001100010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153505*b**2 + 0 + 153502*b**2 + 0.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 437 + -431. Let w(u) = -2 + 1 + 4 + 45*u + 2. Is 25 a factor of w(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1899177 is divided by 7221?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -155 + 158. Solve -s*j = 2*g - 23, 0 = 2*j - 4*j - 5*g + 30 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -4*b - 14, -r - 7 = 5*b + 14. Let i = -10 - -9.6. Suppose 2*s + x - 1 = 0, x - 6 = 3*x. Put r, s, i in descending order.\nAnswer: s, i, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 16. What is the remainder when 4 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.227925 + 195.4?\nAnswer: 195.172075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 7 = 1. Suppose -4*p + t = j*t - 22, 5*t - 10 = 0. Solve -1 = -h, p*x - 5*h + 3*h = -22 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -142389 - -143008.61. What is i rounded to the nearest ten?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -654 or -912?\nAnswer: -654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:06 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3\/(-1))\/12.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 4890.\nAnswer: 4890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012305259016 to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -18*v + 53. Let t(c) = -38*c + 106. Let i(h) = -9*j(h) + 4*t(h). Give i(0).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3*n - 6 = 0, -3 = s + 3*n + 3. Let r be 3 + -1 + (0 - s). Suppose -r*a = 4*q - 20, -q + 3*q = a + 6. Solve -j = -a*j - 4, 0 = -m + 5*j + 24 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 + 207*j + 157. What is f(-104)?\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, 410646, -0.232?\nAnswer: -0.232","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*j**3 + 141*j**2*m**2 + 47*m**2 - 1 wrt j.\nAnswer: -9*j**2 + 282*j*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 6*h + 10 = 0. Suppose 2*v = -h*i + 578, -3*i - 2*i - 827 = -3*v. Suppose -5*a + v = -2*s + 90, -4*a = 4*s - 172. What are the prime factors of a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -53\/42?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17421703?\nAnswer: 13, 103087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(286)\/((sqrt(352)\/sqrt(8))\/sqrt(4)))\/(2*sqrt(162)*-3 + sqrt(162)))**2.\nAnswer: 13\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1933021451?\nAnswer: 37, 227, 230149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = t - 9, 4*t + 4*n = 4 + 16 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + d + 0)*(-2*d**3 - d**2 + d**2) + 332*d**4 - d**3 - 757*d**4 - 8*d + 338*d**4 + (2*d - 5*d + 4*d)*(4*d**3 + 3*d**2 - 3*d**2).\nAnswer: -85*d**4 - d**3 - 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*i**4 + 19*i**2 - 3828 wrt i?\nAnswer: 28*i**3 + 38*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 352 = 4*v - 364, -2*k - 9 = -3*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191734 is divided by 47931?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 d, and 1 s when three letters picked without replacement from {s: 1, z: 5, d: 4, v: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 - 12*m**2 - 28*m + 11. Let l be g(14). Suppose -21 + l = -2*j. Let v(f) = -3 + 26*f**2 - j*f - 12*f**2 - 12*f**2. What is v(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 4. Suppose m = 4*a - c - 215, -6*a + a + 3*c + 260 = 0. Calculate the greatest common divisor of a and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -20, -17 - 3 = -2*t - 4*x. Which is the nearest to 0? (a) t (b) -2\/9 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (7375\/(-25))\/((-1)\/5).\nAnswer: 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3*w - 24 = -r, r + 2 = w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -4, 0.4, -0.7, 2, -7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*z + 31*z + 478 = -734 for z.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40377, -80754, -121131?\nAnswer: -161508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1028368000.1 less than -0.94?\nAnswer: 1028367999.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w + 1. Let y = 59 - 46. Let z = -5 + y. Calculate the smallest common multiple of z and h(3).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22033389 equal to 22033389?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -4*t - 1. Let n be q(-6). What is the second derivative of -n*m**5 + 89*m**5 - 6*m + 58*m wrt m?\nAnswer: 1320*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (17\/(-4352))\/(2 - -1). Let m = v - -33799\/5376. What is the common denominator of 26\/9 and m?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 2*v + 50, -5*z + 4*v = -v - 220. Suppose 9 + 11 = 5*x. Let s(d) = -55*d - x + 3 + z*d. What is s(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 PM and 2:17 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7))**(-1\/10)*(x\/x**(2\/3))**(3\/4))\/((x\/(x**0\/x))**(1\/22)\/((x\/x**1)\/x*x**(5\/4))) assuming x is positive.\nAnswer: x**(337\/770)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 2*n**2 - 17*n. Let p be f(3). Let w be (-2)\/3*p + 26. Let b be (-6)\/(-8)*(3 + -9 + w). What is the highest common divisor of 63 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19\/12 - 5\/4. Is -1 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -525 + 304. Let z = 111 + d. Let s = z - -159.5. Round s to the nearest ten.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 195\/2414, 2\/11, 4, 3 in ascending order.\nAnswer: -3, 195\/2414, 2\/11, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 261\/232*64\/(-8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, w: 2, o: 2, b: 7}. Give prob of picking 1 w and 2 b.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0026967 to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + f - 1639 + 6293 = 0, 3*i + 6963 = 3*f. Find the common denominator of 22\/9 and (-14)\/91 - i\/156.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5272 and 128?\nAnswer: 84352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 9. Let c(r) = -13*r**3. Is 4 a factor of c(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -143*y**5\/10 + y**4\/3 - y**3 - 369*y. What is the third derivative of w(d) wrt d?\nAnswer: -1716","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 4) to base 7.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) -1\/6 (b) -0.7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 4*r**2 - 22*r - 3. Let y(z) = z + 1. Let c(k) = -l(k) - 3*y(k). Let f be c(-4). Let m = -52 - f. Is m a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 286008960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3678418547 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6621.\nAnswer: 3, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 108*r**5 + 72*r**4 - 69*r**3 - 27*r**2 + 6*r = 0.\nAnswer: -1, -1\/2, 0, 1\/6, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4009341*h**3 + 71*h**2 + 14945*h wrt h.\nAnswer: -24056046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n - 7*n + 2*n + 7 - 7 + 4*n + (3*n - 5*n + 0*n)*(-5 + 2 + 2) + n + 0 + 0 - 4*n + 3*n + 3*n + n + 37 - 37 to the form d + b*n and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6\/5, 6, 0.3, 0.01, 404, -4, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 82*h**2 - 225*h - 5. Let y be o(3). What is the nearest to 2\/7 in y, -1\/12, -2?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*q**2 - 3558*q + 711.\nAnswer: 3*(q - 237)*(5*q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + 11 - (18285\/(-2300) - (-3)\/(-60)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205664441 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 32, -2, -3, 21 in decreasing order.\nAnswer: 32, 21, -2, -3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/2)\/3*2604\/217.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 88? (a) 1\/3 (b) -0.1 (c) -0.03 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(-2\/31)\/(c**(-2)\/(c*c**(2\/7))))\/(((c**3\/c)\/c**4)\/(c*c\/(c*c**2)*c*c**(-2\/11)*c)) assuming c is positive.\nAnswer: c**(14724\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -4*k + 6*k - 3*k + 13 - k. Let f be i(6). Suppose u + 0 = 3. Solve -u*x - f = 5 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 9 - 3*w - 9*w**2 + 20*w**2. Let k(v) be the third derivative of v**5\/60 - v**3\/6 - 1640*v**2. Give b(f) - 9*k(f).\nAnswer: 3*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1259*h + 87*h + 82224 = -938*h for h.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -53*x + 52*x - 2*n + 16494, -5*n = -x + 16501. What is x rounded to the nearest 1000?\nAnswer: 16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from eeeecdod.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -3*z - 3. Let r(y) = -1349*y - 8094. Determine 2698*l(f) - r(f).\nAnswer: -6745*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 m when four letters picked without replacement from ammmmmammm.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 378 and 13.1.\nAnswer: 391.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/(-6))\/((-2)\/3). Suppose 0 = -d*u + 3*u + 4, -c + 34 = -3*u. Calculate the remainder when c is divided by ((-48)\/28)\/(1\/(-7)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*r*w**2 - 34*r*w - 11*w**2 - 43*w wrt r?\nAnswer: 3*w**2 - 34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700)*-1*4*6*-5)**2 + ((sqrt(700) - (sqrt(700) + 3*(-2 + sqrt(700) + sqrt(700)) + sqrt(700))) + sqrt(700) + sqrt(700)*1*2)**2.\nAnswer: -480*sqrt(7) + 10091236","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 - -8. Let b = 0 + z. Let v(j) = j**3 + 4*j**2 + 4*j + 1. Calculate v(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/341 at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 24 divided by -4839290\nAnswer: -12\/2419645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1) + -10 + 8. Let j = -0.4 + 0.4. Which is the closest to u? (a) j (b) -1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1367 - 1329. Is 0.1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -381571241353\/45923257060 + 66\/11655649. Let k = 7\/788 + n. Calculate the common denominator of k and -56\/9.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22200)\/500)\/(5 - (-88)\/(-20)).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**9\/1008 - u**7\/140 + u**5\/40 - u**3\/2 - 3*u**2. Let y(p) be the first derivative of i(p). Solve y(f) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19982286 is divided by 591?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1986 plus -0.3?\nAnswer: -0.1014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z**2 - 11*z**2 + 5*z + 2*z**2 + 3*z**2 + 2. Let q be r(-5). Suppose p = q*p. Solve -3*m - 4*f + 18 = 0, p = -m + 5*m - 2*f - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j - a + 51 = 49, -4*a + 16 = 4*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + k + k)*(-4 - 2 - 1).\nAnswer: -42*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1591759 (base 10) in base 7?\nAnswer: -16346461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 = 2*s - 2*u, -5*s = 3*u - 1381 + 267. Let j = -578 - -590. Calculate the remainder when s is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 11*g**2 + 29*g - 175. Let r(l) = -2*l**3 - 9*l**2 + 24*l - 174. Calculate 6*r(t) - 5*z(t).\nAnswer: -7*t**3 + t**2 - t - 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/27 and 95\/18?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5753 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -445 + 1323?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*y - 4100 - 170 = 0. What is the remainder when 175 is divided by y?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -235 > -2825\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -57*a. Let q(o) = 626*o. Let n(d) = 22*c(d) + 2*q(d). Let m(h) be the second derivative of h + 0*h**3 + 2\/3*h**4 + 0*h**2 + 0. What is m(n(w))?\nAnswer: 32*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65450, -523665, -1767398, -4189409, -8182458, -14139305?\nAnswer: -22452710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 83328 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w**3\/11 - 58*w**2\/11 - 6*w\/11 = 0. What is w?\nAnswer: -1\/10, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -4*a - 4, 16 = 3*k + k - a. Suppose -k*b = -7*b. Is 0 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20358.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15392*w - 15423*w = -93 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 - 4*d**2 + 2*d**2. Let c(h) be the third derivative of 135*h - 2*h**2 - 11\/60*h**5 + 0*h**4 + 0*h**3 + 0. Calculate q(c(n)).\nAnswer: 121*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tttw when four letters picked without replacement from {w: 3, u: 4, t: 3, n: 1}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 3 + 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73747200 is divided by 40080.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 69, 90, 111?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -235262, -235212, -235138, -235034, -234894, -234712, -234482, -234198?\nAnswer: -233854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**29*x**29 assuming x is positive.\nAnswer: x**58","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 19 = -3*n. Suppose n = 2*p - 9. List the prime factors of p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5247 - 851. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**4\/24 + 49*t**3\/6 - 228*t**2 - t. Give q(8).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8 + 1575\/(-18) - (-6 + (-13)\/(-2)). Is 23 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + b**2 + b + 58. Suppose -7*y + 6*y - 11*y = 0. Is s(y) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4880.019ml?\nAnswer: 4.880019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(91) - 4*-4*sqrt(91))\/(sqrt(567)*2 + sqrt(7))*3.\nAnswer: 2 + 51*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 212 = 57. Let v = 96 - -5. Let y = v - 89. Calculate the remainder when s is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10559 a multiple of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 0*m + 5*f = -23, 7 = 4*m + 2423*f - 2420*f for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -5*-15832.0034\nAnswer: 79160.017","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 201851022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 times 69?\nAnswer: 2070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2. Let b(i) = 6*i**2 - i. What is n(b(u))?\nAnswer: -36*u**4 + 12*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/21*2\/2*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 12 = -4*k, 5*k = -g + 3*g - 14. Let y = k + 15. What is the remainder when y is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19485 - -20277. Calculate the lowest common multiple of t and 3960.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (0 - -168) + 17 + -16 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/50 and (122\/50)\/(((-7232)\/40)\/4)?\nAnswer: 5650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8120 and 30.\nAnswer: 24360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((32\/196)\/(20\/1260*6))\/(2\/(-7)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -114*i + 712. Let m be r(6). Suppose 4*o = l + 58, 0*l = 4*l + 8. Calculate the greatest common factor of m and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 3 - (5 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/(t*t**(7\/3)))\/t))\/t**(-3))\/((((t*t**(-1\/7))\/t)\/t)\/(t\/(t\/(((t*(t*t\/(t*t\/((t*t**(1\/8)*t)\/t)))\/t)\/t)\/t)))) assuming t is positive.\nAnswer: t**(1277\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 1 + 13*q**2 + 8*q - 17*q**2 + 6 + 5*q**2. Let d be 0 + 1 + (-8 - -1). Give b(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - 17*c - 6. Let p be w(9). Solve g + p = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5190*s*y - 10*s + 6656700*y with respect to s.\nAnswer: -5190*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 430121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 257\/3 - 85. Which is the nearest to 1? (a) -4 (b) 1\/8 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132920793?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 299 is divided by 84?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 78, 75, 72, 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 188974351 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 411277 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123*d = 69*d - 648 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**3)\/(n\/n**(-3)))**(-4\/19) assuming n is positive.\nAnswer: n**(24\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2*w = 74, 59*i + 387 = 60*i + 8*w + 3*w for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 33124398343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -4 (c) 3 (d) -7 (e) 27273\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03 and -0.029439.\nAnswer: 0.00088317","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -13*q**3 + 4*q**2 - 241*q + 237. Determine m(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14133445 + 3?\nAnswer: -14133442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**2 - 299116*a + 598240.\nAnswer: -2*(a - 2)*(a + 149560)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-13)\/(-104))\/(3\/30)*-4)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.028458789 rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -60, 4, -11, 0, 32 in ascending order.\nAnswer: -60, -11, -4, 0, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 280 + -278. Let r be (-2)\/8*h*-2*1. Solve 2*c - 5 = -r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3369494239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -19*j**3 - j - 1. Let s be r(-1). Let m = s + -14. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**2 + 1877696*b - 3755408.\nAnswer: 4*(b - 2)*(b + 469426)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91227 is divided by 29630.\nAnswer: 2337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/(-10))\/(138\/(-140) - -1). Suppose 5*y - w = -3*y. Let u be (-465)\/(-24) - y\/56. Solve -2*d + u = 5*g - 14, 0 = -3*d - 2*g + 22 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2339700 to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*3 + (-81 - -115 - 88). Let x = 2 - -3. Suppose 260 = -x*l - 0*l. Is l < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -1. Let i(v) = 3*v**2 + 3*v + 5. Determine -i(r) - 4*t(r).\nAnswer: -3*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -284, -282, -278, -272, -264, -254?\nAnswer: -242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 7*d + 18 = 2*u, 0 = 2*u - 4*d - 26. Let n(t) = t**2 - 9*t - 1. What is n(u)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8663 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 174\/207755 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 + 15. Let k be m(0). Solve 0 = -3*x + q - k, -12 = 2*x - 3*q + 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4407790620 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 33 + 10 = -5*t, 0 = w + 4*t - 14 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2d7 - 2?\nAnswer: 2d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**2 + f - 1. Let b(h) = -1404*h**2 + 6*h - 6. Give b(i) - 6*x(i).\nAnswer: -1422*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -3\/73 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0 - 1\/30*s**5 + 0*s + 0*s**3 + 0*s**4 + 5*s**2. Let n(l) be the first derivative of -2*l**3\/3 + 2. Calculate h(n(b)).\nAnswer: -8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * -874.\nAnswer: 2622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -652?\nAnswer: -3\/652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00651 rounded to four decimal places?\nAnswer: -0.0065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -20*c**2 + 7*c - 35. What is z(4)?\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 - 57 - 137 - 77.\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 9, q: 3}. What is prob of picking 3 y and 1 q?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59\/3? (a) -0.6 (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -18 - (-111 - -124)) + -42.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 11*a**2 - a - 3. Let j(m) = -22*m**2 + 2*m + 5. Let i(g) = -3*j(g) - 5*x(g). Does 5 divide i(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-20453.\nAnswer: -4090.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 5, -3, -2\/5, -870?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 349544850?\nAnswer: 2, 3, 5, 43, 54193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + (-1 - (-3 + -1)). Let n(v) = 3*v - 11. Let r be n(5). Solve -21 = r*b - t*g, b + 2*b - 4*g + 21 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d (base 14) to base 16.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4534, 4535, 4536?\n\"Answer: p + 4533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b = z - 12 - 48, 0 = -2*z + 10*b - 370 + 238 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3564 and 18.\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189690 is divided by 591?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*i - 14*i + 7. Sort i, -52, 4, 5 in decreasing order.\nAnswer: 5, 4, i, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 482*c**3 - 2*c**2 + 11*c - 256980 wrt c.\nAnswer: 1446*c**2 - 4*c + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from rssusssrsuassra.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-252)\/54*3\/4*-2. Suppose -v + 20 = -2*b, -35 = -12*v + s*v - 3*b. Calculate the highest common divisor of v and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 505572023?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 12\/7, 1, 0.15, -0.1?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -146\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvq. Give prob of sequence vvq.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 17*k**6\/2 + k**4\/4 - 29*k**3\/6 + 3*k. What is the third derivative of j(d) wrt d?\nAnswer: 6120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -48033, 10 in increasing order.\nAnswer: -48033, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1 + 0*l - 2*l - 2. Let r(x) = -3 + 16 - 4 + 6*x + 1. Let w = 26 + -42. Calculate w*h(z) - 5*r(z).\nAnswer: 2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -15*v + 47. Let p = -56 + 57. What is the closest to 0 in p, -96, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - 4 - (-19 + 14) - -7\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 638803 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*w = c - 49, -9*w + 2*w + 55 = 7*c - 3*w - 7*w for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 230*h**3 - 852*h**3 - 1740*h**3.\nAnswer: -2362*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.8 (b) 0 (c) -3 (d) -0.3 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2. Let u be k(1). Suppose 4 = u*o - 20. Is o a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7363 divided by -4.\nAnswer: 7363\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 575551 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.072, -12, -2\/15, 9?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 + 374840*y**3 - 373800*y**3.\nAnswer: 1040*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 0 - 4 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4211269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70753 is divided by 158.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 2410396 and 2410394 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8672 and 128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-52)\/(-6)*33\/22. Suppose 3*q = -2 - v. Suppose -n = -4*n - 6. Sort n, q, -1 in increasing order.\nAnswer: q, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 3*p = 376419, p - 67059 - 8220 = -f. What are the prime factors of f?\nAnswer: 2, 3, 12547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 5*h**3 + 4*h**3 - 3 - 2*h to the form r*h**2 + x + d*h + c*h**3 and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -234\/5 or -47?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from {s: 6, j: 6, k: 1, h: 2, g: 3, p: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39281?\nAnswer: 11, 3571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 468 and 27?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 4 - 2)*(7300*b - 3700*b + 1811*b) + 5*b + b - 3*b to s + d*b and give d.\nAnswer: -5408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31616 and 535072?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w. Let m(j) = j. Let h(r) = l(r) + 3*m(r). Let b(g) = 0*g + 14*g - 9 + 26. Let t(o) = 5*o + 6. Let z(d) = -6*b(d) + 17*t(d). What is h(z(f))?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10011300 and 4420.\nAnswer: 10011300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/9 + 2\/3. Let p = -154\/5 + 31. Let q = -0.08 + 2.08. Which is the second smallest value? (a) q (b) p (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.875 + 38.875. Are f and 0.6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.4 - -0.3. Suppose -3*s - r - 73 = -3*r, -2*s - 22 = 4*r. Let i be 170\/210 + 3\/s. Which is the second smallest value? (a) l (b) -2 (c) i (d) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + 1 + sqrt(847) - sqrt(847)) + (sqrt(28)\/sqrt(4) - sqrt(7)) + 4 - ((sqrt(280)*-1)\/sqrt(10))\/(sqrt(16)\/sqrt(36) - sqrt(4)))**2.\nAnswer: 95*sqrt(7) + 2627\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 86*z - 5. Let l(s) = 43*s - 2. Let j(b) = -9*l(b) + 4*n(b). Let r be j(-3). Suppose -101 = -4*d + r. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*p**4 + 188*p**3 + 2108*p**2 wrt p?\nAnswer: -96*p + 1128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1278956 divided by -319739\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6305 and 130.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2826043*-0.2\nAnswer: 565208.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*j - 78*j + 75 = 0. Let m(c) = 2*c. Calculate the remainder when j is divided by m(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/2 + 227199*j\/2.\nAnswer: j*(j + 227199)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -6151243, -12302494, -18453755, -24605026?\n\"Answer: -5*d**2 - 6151236*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13112 divided by -63.\nAnswer: -13112\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 3\/(-2))*0. Suppose 4*b + 42 - 102 = g. Calculate the remainder when b is divided by (-20)\/30*(-3)\/1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 5 - (-27 - (7 - -16)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 260 and 120?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -1, -116759, 4 in ascending order.\nAnswer: -116759, -4, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i - 11. Let f be k(12). Put -1, 6, f in increasing order.\nAnswer: -1, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 6*l**2 - 7*l + 10. Let u be m(7). Let k(r) = 62*r - 2 + u*r + 1. Let a be k(2). What is the highest common factor of a and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -188214000 to the nearest one million.\nAnswer: -188000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -4 - 2. Let x = 23 + 24. Let g = x + -46. Let b(j) = j - 1. Let p(n) = n**2 - 5. Calculate g*p(a) + r*b(a).\nAnswer: a**2 - 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (648*z - 192*z**2 - 648*z)*(-54 + 38 + 119 + 64).\nAnswer: -32064*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - c = 3*z - 4, -3*z + 9 = 3*c. Calculate the common denominator of (2 - 17\/27)*z and -43\/9.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 234 = 4*i, 3*i - 5*i - 585 = -5*v. Calculate the remainder when v is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 21*f**2 + f - 1. Determine j(1).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -405 (b) -0.7 (c) -91 (d) -2 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 455699 and 65803?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 13*i**2 + 22*i + 3. Suppose -3*b + 0*b - 53 = -4*y, 0 = -2*b - 3*y - 7. Let d be o(b). Solve 5*s = -17 - d for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 33*i**2. Let t(g) = 24*g. What is d(t(k))?\nAnswer: 19008*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49922*y + 50 - 50.\nAnswer: -49922*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4350 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r*r**12*r*r)\/(r*r**5*r)*r**(-8)*r*r**(-4) assuming r is positive.\nAnswer: 1\/r","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2751 - 600*w**2 + 1393 + 1358.\nAnswer: -600*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-16)\/w**27 assuming w is positive.\nAnswer: w**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 389509751 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that d**5\/8 + 15*d**4\/8 - 39*d**3\/4 - 13*d**2\/4 + 237*d\/8 + 171\/8 = 0.\nAnswer: -19, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 47 - 2. Calculate the least common multiple of 4 and x.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = -4, -6*a = 833*z - 829*z + 20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -0.2 and 156\/70793 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 3*j - 6 = -2*j, 5*l = 5*j - 10. Suppose -l*k + 13 = 43. Let m be (5\/k)\/((-2)\/12). Is 2 equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139767 - 245838 - 127387 = -46*n. What is the thousands digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -36\/24595 and 57\/55?\nAnswer: 270545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2834, 1924, 1014, 104, -806?\nAnswer: -1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/9)\/(46\/(-18)). Is p at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 19*y + 66. Let j be s(-22). Suppose -5*x - 6*x + 3311 = j. What are the prime factors of x?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 PM and 10:07 PM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 355.8940783 to 2 dps.\nAnswer: 355.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 390 and 17250.\nAnswer: 224250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjq when three letters picked without replacement from qjlve.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, i: 1, h: 5}. Give prob of sequence hy.\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -62. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 577877760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -2) + (1 - -2). Suppose 4*n - 15 = d*r, 4*n + 2*r - 13 - 9 = 0. What is the highest common factor of 20 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 72466 - 72451. Let v(z) = z**3 + 5*z**2 - 5*z + 2. Calculate the remainder when v(3) is divided by o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 0 - 10*b**2 - b**3 + 11*b**2 as q + y*b + s*b**3 + u*b**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 326 - 322. Let r(h) = -6*h - 1. Let m be r(-1). Let z = -13 - -12.8. Put z, p, m in descending order.\nAnswer: m, p, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -3*z**2 - 6*z + 10. Let o(q) = -1 - 2*q + 2*q - 3*q + 4*q. Let n(y) = -h(y) - 6*o(y). Find the first derivative of n(b) wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 547*q + 261*q - 16884 = 205*q for q.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -5683769, -5683761, -5683751, -5683739, -5683725?\n\"Answer: q**2 + 5*q - 5683775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 10:05 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 139?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbbn when four letters picked without replacement from gnbngnbbnnnggnbbnnbn.\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 112\/63 - 16\/(-72). Solve r*v = -2*v - 16 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-2 + 4 + 4)**2 - sqrt(35)\/(-2*sqrt(175)).\nAnswer: -319*sqrt(5)\/10 + 84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9464 and 63931686?\nAnswer: 2366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.11 and -0.58315?\nAnswer: 0.0641465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 102?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5 and 21603.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -31*t**2 + 8*t. Let b(h) = -10*h**2 + 3*h. Determine 8*b(c) - 3*y(c).\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1192, -1184, -1176, -1168, -1160, -1152?\nAnswer: -1144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 0)\/1 - -4. Suppose -5*d = q - 25, -q + 25 = -b*d + 2*d. What is the highest common divisor of q and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 81779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 100*h**2 - 59*h**2 + 1000*h + 0.\nAnswer: -159*h**2 + 1000*h - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3392 and 3922?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 34\/5 of a tonne?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 10464 to the nearest one hundred.\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22194?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/6 of a century in months?\nAnswer: 3400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/20*2)\/((-8)\/(-40)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*z + 4*z = 932, -5*t - 2*z = -2331. Suppose t = 3*a - 247. Let v = a - 105. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2342 divided by 359.\nAnswer: -2342\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*a**3*c*m - 94*a**3*m - 2*a**2*c - a*m - 29*c*m wrt a?\nAnswer: -96*c*m - 564*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 212*h = 76*h - 309*h + 3115 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-2*sqrt(21) - sqrt(21)) - sqrt(1029)*4)\/((sqrt(36)\/sqrt(2)*6)\/((-2*sqrt(42))\/sqrt(7) + sqrt(6))).\nAnswer: 5*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*n - 15*n + 116. Let j = -54 - n. Suppose -3*w = j*w - 581. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes after 2:09 PM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 36\/(-42) + (-18)\/(-21)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*j + 73*j = 90 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 11*w - 7. Let g be x(-9). What is the remainder when 32 is divided by g\/66 - 65\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20 - 1. Let k(u) = 9*u - 23. List the prime factors of k(d).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -1\/30*i**5 + 0 + 0*i + 0*i**4 + 5*i**2 + 0*i**3. Let p(t) be the second derivative of t**3\/6 - t. Calculate s(p(d)).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -71 + 125. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*sqrt(176)\/sqrt(4).\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 10:47 AM?\nAnswer: 4:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -10 + 35. What is the units digit of (-32)\/(((-15)\/n)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(19)*2 - sqrt(19)) + -3)**2.\nAnswer: -6*sqrt(19) + 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Let g(a) = a**2 + 17*a + 19. Let y be g(-8). Let m = -29 - y. What is the highest common divisor of q and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -48?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -6*l - 6*l. Suppose -3*c - 7*h + 24 = -3*h, 2*c - 2*h - 16 = l. Let s = c - -23. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.41 - -4.9. Let m = 0.96 + -0.05. Let a = r - m. What is a rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 296 and 1772.\nAnswer: 131128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 113137, 226271, 339405, 452539?\n\"Answer: 113134*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -312\/19 greater than or equal to -17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**3 + f**2 + 2*f - 3. Let u(n) = 12*n**3 - 3*n**2 - 5*n + 7. Let x(i) = 5*s(i) + 2*u(i). Let k(o) = 2*o**3 + 6*o**2 + 6. Give k(b) + 6*x(b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -65853*h**3 + 67006 wrt h.\nAnswer: -197559*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*x - 6*b - 100, 4 = -2*b. What is the smallest common multiple of 468\/21 - (-4)\/(-14) and x?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -176 + 173. Let l = 13 - 53\/4. Which is the second smallest value? (a) h (b) 0.061 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**7\/1155 - q**6\/66 - q**5\/10 - q**4\/3 - 20*q**3\/33 + 5*q**2 + 145. Suppose j(x) = 0. Calculate x.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17972429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 2:07 PM?\nAnswer: 8:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/5*(-53)\/(7844\/21830)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2593 = -12*t + 11929. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + -3 + -1 + sqrt(567) - sqrt(567)) + 2*sqrt(567)*-2)**2.\nAnswer: 216*sqrt(7) + 5119","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.13? (a) 1 (b) 4\/7 (c) -1 (d) -2 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 o when three letters picked without replacement from ehooo.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1377 and 55284?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 916 + -911. Solve -t*i - 6 = i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + 6. Suppose 0 = -0*r - 2*r + x. Let f(y) be the first derivative of y**3\/3 + y**2\/2 + y + 2. Let a(o) = -2*o**2 - 5*o - 5. Calculate r*f(i) + a(i).\nAnswer: i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*u + 2652 + 2470 = 0 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21423695 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3856475214 to the nearest integer?\nAnswer: 62101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 27*f**3 - 51*f**2 + 58*f - 100. Determine l(2).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3894511273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -733, -718, -689, -640, -565, -458, -313, -124?\nAnswer: 115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**4\/24 + 3*o**2. Suppose -10 = -4*j - 3*c, -8 = 5*j - 4*c - 36. Let g(z) = -j*z + z + 4*z. Give k(g(x)).\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 77850 and 94977.\nAnswer: 4748850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 4*s**2 + s + 2. Let a be n(-3). Let y = a + 139. What is the highest common divisor of 15 and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 107 - 105. Let l be -1 - ((-1)\/(-3) - 1). Let r = -0.52 - 1.48. What is the nearest to r in -2, l, p?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 3, -8, -10, 4 in increasing order.\nAnswer: -10, -8, -4, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**2\/5 - 729*f\/5 + 732\/5 = 0. What is f?\nAnswer: -244, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/2, 4, -5\/22, -4 in descending order.\nAnswer: 4, -5\/22, -1\/2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 74cd (base 15) to base 11\nAnswer: 17631","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.16 + -11. Let x = 2.16 - v. Sort -1, 0.5, x in ascending order.\nAnswer: -1, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1126*b + 2688 = -1062*b for b.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(5) + -3 - (-4 + (sqrt(10)\/sqrt(2))**2).\nAnswer: -4 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/18*(1 + -1). Let v(a) = a**3 + 4*a**2 - 2*a - 3. Let b be v(-4). Suppose -b*r = -3*s + 215009, -2*s + 6 = -l*s. Round r to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68008?\nAnswer: 2, 8501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -c**4\/4 - 12*c**3 - 216*c**2 - 26*c. Factor g(d).\nAnswer: -3*(d + 12)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90011.5 kilograms in milligrams?\nAnswer: 90011500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/60 and -107\/3360.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 87\/(-696)*(4 + 36)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*o**3\/5 - 1687638*o**2\/5 + 44498003628*o\/5 + 205839367994\/5.\nAnswer: 2*(o - 52741)**2*(8*o + 37)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1514644.\nAnswer: 2, 378661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 - (9\/(-3) - 35). Suppose 0 = 3*c + c - b. What is the lowest common multiple of 5 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 36 = 29. Put 118, -4, r in increasing order.\nAnswer: r, -4, 118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 11*p - 23. Let w be s(-4). Solve -w*r + 3*z = -15, -4*r - 5*z - 35 = -10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.002, 5\/3, -2, 1\/8.\nAnswer: -2, 0.002, 1\/8, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 259 = 5*u, -139 = 4*u + 4*z - 359. Let k = u - -9. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/1)\/((-1)\/4). Let k(g) = s - g - 3 + 0. Give k(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -173466612 divided by 6\nAnswer: -28911102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**3 + 11488*z**4 + 11496*z**4 - z**2 - 149 - 22982*z**4 in the form m*z**4 + c*z**2 + a + n*z + f*z**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/20)\/((-2)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -620.4897 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, q: 2, n: 1, a: 10, m: 1}. Give prob of sequence nma.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17ebe302 + 4?\nAnswer: -17ebe2ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3422\/88865 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -74750 divided by 1?\nAnswer: -74750","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 22 = 3*c - 2*h, c + 5*h + 17 = 0. Let u be (c - -6 - -14)\/2. Solve -u + 2 = 2*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - l**2 + 2*l + 5. Give o(5).\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, -10, -2, 114 in descending order.\nAnswer: 114, -2, -10, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s - 2*s - 3*s)*(-7*s - 4*s - 6*s).\nAnswer: 34*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (342\/135 - (3 + (-363)\/110)) + 19\/(-228).\nAnswer: 11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/754609 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - w + 13, -6*i = -i - 4*w - 38. What is the common denominator of (i\/24)\/((-3)\/14) and 33\/8?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1513105 (base 6) to base 7.\nAnswer: -513110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 201700677120421?\nAnswer: -201700677120421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a century in months?\nAnswer: 8100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -115 + 5. Let y = -2 - x. What is the highest common divisor of 8 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.03+-299771123\nAnswer: -299771123.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -9*(19\/57)\/((-4)\/(-8)). Let t(s) = 325*s + 806. Let z(f) = -21*f - 52. Let w(r) = 5*t(r) + 78*z(r). What is the tens digit of w(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-18\/11)*y*y**(-1\/2)*(y**(-10))**(-29\/2) assuming y is positive.\nAnswer: y**(3165\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 492b3 (base 14) to base 13.\nAnswer: 63583","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, d: 2, w: 4}. Give prob of sequence ddw.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 7 - 135\/(-30)) + 1 + (-48)\/32.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1723793 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1481 + -1475. Suppose 76 = 3*u + p, -u - 4*p + 40 = -0*u. What is the greatest common divisor of u and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 300813, 300815, 300817, 300819, 300821, 300823?\nAnswer: 300825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3*z + 40. Let r be 6*2*(-2)\/z. Solve -r*c = c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 - 44. Suppose -10 = u - a. Suppose 5*y + 4*q - 25 = u, -32 = -4*y - 4*q. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285011689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 o when four letters picked without replacement from oooccoaolalocoaoa?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258 divided by -6.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*w + 0)*(6 + 0 - 1)*(0*w**3 + 3*w**3 - w**3).\nAnswer: 20*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -n**8\/4200 + n**7\/525 - n**6\/225 + n**3 - 19*n. Let h(z) be the second derivative of c(z). Solve h(u) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*s**4 - 1726*s**3 + 3*s**2 + 49824 wrt s?\nAnswer: -16*s**3 - 5178*s**2 + 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m - 2*m)*(-2 + m + 2) + 5*m**2 - 5*m**2 + 4*m**2 - 2 + (5*m - 3*m - 4*m)*(-2 + 2 + 4*m).\nAnswer: -5*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248 - 245 = -3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1) + (45 - -1). Let f(m) = 2*m - 2. Let v be f(-5). Let d be (-16)\/6*(405\/v)\/5. Calculate the greatest common factor of d and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (12 - 3 - -1 - 11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/4 - (-29)\/(-4). Let o be (-2 - p) + -4 + 3. Let q(b) = b**3 - 5*b**2 + 3*b. What is q(o)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-d**2 + 4*d**2 + 0*d**2)*(3*d - 4 + 4) + d**2 - 3*d**3 - d**2)*((4 + 1 + 0)*(-4*d**2 + 8 - 8) - 5*d**2 + 0*d**2 + d**2).\nAnswer: -144*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/36 and (-9 - 781\/(-231)) + 2.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z + 2. Let g(f) = 2*f - 3. Let m(o) = 4*g(o) + 7*t(o). Let a be m(0). Differentiate 3*d - a + d - 3*d with respect to d.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.3 - 0.5. Let q = -7106.1912 - -7098.3912134. Let y = s - q. What is y rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/5, -3, -0.4, 6\/22909 in descending order.\nAnswer: 1, 6\/22909, -1\/5, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/10)\/((-2)\/(-5)). Let i be 378\/(-24) + p\/4. List the prime factors of 270 + 1 + i\/(-4 + -1).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(20)\/((sqrt(72)\/sqrt(3) - sqrt(24))\/sqrt(6) - sqrt(4))*-2.\nAnswer: -10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5 + 10\/(-40) + (-6)\/8. Put l, 0, -1 in decreasing order.\nAnswer: l, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.007 + -3. Round m to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of (-512)\/(-32) + (-1752)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 + 5*v**2 + 6*v + 7. Let z be s(-4). Which is the nearest to -7? (a) -0.3 (b) 0.5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -119239 and -27.\nAnswer: -119266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 1, 10, 0.5, -10\/13?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2467232 and 752.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 49.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1022113?\nAnswer: -1022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 11. Let i be y(-2). Let c(t) = t**2 + 8*t - 36. Is 53 a factor of c(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 168 and 294378?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -23 and -167?\nAnswer: 3841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 2\/3, -1, 428 in decreasing order.\nAnswer: 428, 2, 2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (226549\/77002)\/((-120339)\/(-18)). Let c = i - -1\/115503. Let a = c + -147097\/35656. Find the common denominator of -64\/3 and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*m**2 + 377*m + 373*m - 1056*m + 345*m as s*m + k*m**2 + i and give s.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -413 + 566. Let d = 212 - i. List the prime factors of d.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.16 + -9. Let l = -0.04 - s. Which is the closest to -2\/3? (a) 3 (b) -3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 2428710718?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/3*66\/4. Suppose 2*c = c + l. 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: Calculate -176478 divided by 525.\nAnswer: -58826\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 16.9643\nAnswer: 6.78572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5683, -5681, -5679, -5677, -5675?\nAnswer: -5673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.79427 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5299751 + 5297433 = 38*m for m.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -2. Suppose 2*c + 3*z + 10 = 0, 2*c = 5*c + 5*z + 16. What is the units digit of c\/k + (-56)\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = -26*z + 1091. What is the highest common factor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 67 and 737?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -5*n + 7*t, -3*t = 2*n + 15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*i**3 - 32*i**3 - 2*i**2 + 28*i**3 - 3 to the form c*i**3 + t*i + m + f*i**2 and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 2\/6 - 861\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:09 PM and 12:58 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 17*i - 47. Determine d(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 1333*g**3 - 9334*g**2 + 14*g - 30. Determine o(7).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 553919, 1107843, 1661749, 2215631, 2769483, 3323299, 3877073?\n\"Answer: -v**3 - 3*v**2 + 553940*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 40 = 6*p. Suppose 0 = 5*w - 52 - p. Let v = w - -1. List the prime factors of v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -8, 2\/1637 in ascending order.\nAnswer: -8, -0.5, 2\/1637","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.7 + -6.3. Let h = 9.82 + t. Which is the third smallest value? (a) 2\/5 (b) h (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 3 (b) 0.1 (c) -2 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1116 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 86 and 43?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/6 and 86\/2985?\nAnswer: 5970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 49673200 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 33800 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1188 = 14*i - 978 for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23 + 26. Let g be ((-33)\/(-22))\/(l\/8). Suppose -2*c = -3*r + r - 1599994, g*c + 2400012 = -3*r. What is r rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 8:43 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118027078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 + 10*j - 18. Let h be o(12). Let b be ((-1)\/(-1))\/(2\/(-256)*-8). Let p = b - h. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79112.63cm in nanometers?\nAnswer: 791126300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-328*s + 328*s - 2*s**4)*(4 - 2 - 3)*(-2 + 5 - 1).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 169*g - 386*g + 182*g + 2*i - 6*i, -124 = 3*g - 11*i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 173 - -87. Let j = 152 + f. Suppose 6*k - 2*k = j. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i = -79 - 54. Let u = i + 23. Solve -u*m = -5*q + 42 + 3, -q = -5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -56 + 74. Suppose 3*v - w = 75. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23\/8 of a litre?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*h - 26902 + 26860 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 33140566 to the nearest integer?\nAnswer: 321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of -p**9\/84 + 161*p**6\/120 - 59*p**5\/12 - p**3\/6 + 213*p**2 + 2. Find the third derivative of b(h) wrt h.\nAnswer: -720*h**3 + 966","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of 0*x + 0*x**3 + 0 - 1\/280*x**6 + 0*x**4 - 11*x**2 + 1\/140*x**5. Factor o(w).\nAnswer: -3*w**2*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/18*(4 + -8) and -31\/9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 8*q**2 - q - 7. Suppose 1 - 9 = -y. Let d be w(y). Let v = d + 34. What is the remainder when 73 is divided by v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2087312 and 10.\nAnswer: 10436560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v + 6*v - 12*v)*(6 + v**3 + v**3 + 119).\nAnswer: -28*v**4 - 1750*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -c063 + -3?\nAnswer: -c066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3933*s - 351*s + 575*s.\nAnswer: 4157*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8756*p**2*y**4 + 4*p**2*y**3 + 97*p**2 - 319*p - 2 wrt y?\nAnswer: 35024*p**2*y**3 + 12*p**2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6348587419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19.6? (a) 0.07 (b) -0.4 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**3 - 2*l**2 + 2*l. Let m be k(2). Let u be 2\/m - (-2 + (-15)\/18). Suppose 0*p - u*p = -84. Solve -3*i - 3*c = 2*c - 32, 0 = -3*i - 4*c + p for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 21*f - 15 + 20*f - 9*f to the form t + p*f and give t.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 480\/(-7) - ((-79)\/(-7)*-2 - (6762 - 6785))?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31 - -28. Let f = -2293\/3 + 765. What is the second smallest value in m, -1\/2, f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*f - 1. Suppose -f - 15 = -9*h. Factor 15*d**2 + 16*d**h - 28*d**2 - 3*d**4.\nAnswer: -3*d**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 12:25 AM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1653, -1657, -1665, -1677, -1693, -1713?\nAnswer: -1737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -8*m - 83. Let u be y(-10). What is the third biggest value in -0.2, u, 1\/8?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7286 + 101907\/14. What is the common denominator of j and 381\/(-5)*(1383\/126 - 11)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1631658 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -51*j**4 - 38*j**4 + 428*j**4 + (4 - 4 - 2*j**2)*(-2*j + 2*j**2 + 2*j).\nAnswer: 335*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(3\/16)*x**(-3\/8))**(8\/11))**(-2))**(-2\/55) assuming x is positive.\nAnswer: x**(-6\/605)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.11 at least as big as 0.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90 + 98. Calculate the remainder when 163 is divided by b - (-68)\/(-8) - (-154)\/4.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**5 + 582*h**4 + 2260*h**3 - 10548*h**2 - 62262*h - 77490 = 0. What is h?\nAnswer: -287, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/921 - 913\/3684. What is the biggest value in 16\/5, -0.5, d, -3?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1691417000 to the nearest 1000000.\nAnswer: 1691000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104 - -107. Solve -3 = t*r - 5*u - 8, -u = 4*r - 22 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h**2 + 274*h + 274. Let b be t(138). Sort b, -2\/19, 0.005, 0.1 in increasing order.\nAnswer: b, -2\/19, 0.005, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - b - 100. Calculate the remainder when 93 is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 14*r**2 + 15*r - 21. Let v(j) = -15*j**2 - 13*j + 18. What is -5*u(s) - 6*v(s)?\nAnswer: 20*s**2 + 3*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*w + 26*w - 10 = 0. Solve 5 = w*d + 15 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23938?\nAnswer: 2, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4.35 and 0.05?\nAnswer: 0.2175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -44*d + 5*d - 1 - 6*d + 5*d as b + i*d and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8007, -32044, -72109, -128202?\nAnswer: -200323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 11 = s - 2*x, 2*s = -x. Is -2 - (0 + (s - 16)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 + -114.4. Which is the nearest to f? (a) -5 (b) -6 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (9 - (-31550)\/(-4))\/(2\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -13*u**3 + u**2 + u + 1. Calculate s(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2593?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -5*i**2 - 31*i - 81. Let t be n(-18). Let h = 389 - t. What is the thousands digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(2\/10*-1). Let x = 63 + -89. Let f = x + p. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -499 - -556. What is the remainder when a is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 5*l + 52 = 0, -4*m + 5*l + 350 = 92. Let r = -3 + 8. What is the second derivative of 62*y - 108*y + 39*y**5 + m*y - y**r wrt y?\nAnswer: 760*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -9. Let i = h + -3.6. Let p = i + -0.2. What is the nearest to 1 in 3\/7, p, -0.1?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 d when three letters picked without replacement from {i: 3, d: 2, m: 1, n: 1, r: 3, k: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 7. Let n be r(-7). Let a(y) = 2*y**2 + n*y**2 - 2*y**2 - 2*y**2. Let p(x) = 2*x. What is a(p(w))?\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 + 7*j + 7. Let h = 22 + -14. Let f be x(h). Let b(l) = 37*l**2 + l. Let r be b(f). What is the greatest common factor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d**3 + 265004*d**2 + 794984*d + 529984 = 0. What is d?\nAnswer: -66248, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = z**2 + 12*z - 6. Let k = -413 - -400. Determine n(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -86*s**3 + 339*s**2 + 1113*s - 16. Let k(v) = 17*v**3 - 67*v**2 - 223*v + 3. Let r(c) = -16*k(c) - 3*w(c). Find the second derivative of r(f) wrt f.\nAnswer: -84*f + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 74, 98, 110, 104, 74, 14?\n\"Answer: -k**3 + 31*k + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -2*g**2\/7 + 2038*g\/7 + 5032 = 0.\nAnswer: -17, 1036","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200100 and 1392.\nAnswer: 348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15172946.\nAnswer: 2, 53, 143141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1843*l + 16 = -1841*l + 3*o, 35 = 5*l + 5*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275 = -215*m + 190*m for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -985696?\nAnswer: -1\/492848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0.5 (b) 3 (c) -3\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1628747133 a multiple of 423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r + 9 = -3. Solve 0 = r*b + 5*g + 29, -4*b = b - 5*g - 15 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*z**2 + 457 - 457 - 9*z to t + s*z**2 + b*z and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**3 + 6\/7*o**7 + 5 + 0*o + 0*o**2 + 0*o**5 + 0*o**6 + 0*o**4. What is the third derivative of m(y) wrt y?\nAnswer: 720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, 791.\nAnswer: -1, -0.2, 791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 216121856 to the power of 1\/2, to the nearest integer?\nAnswer: 14701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6, -64, -240, -594, -1186, -2076, -3324?\n\"Answer: -10*a**3 + a**2 + 9*a - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2660*x - 2182*x + 7648 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 15 - -97?\nAnswer: b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -322638*i**4*x - 11*i**3*l*x + 68*i**2*l*x - 2*i*l*x - i + l*x + 6924*x wrt i.\nAnswer: -7743312*i*x - 66*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -1. Let p = 3 - o. Let g = 14 - p. What is the remainder when 37 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1579.181m?\nAnswer: 1.579181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 414.54 + -724.41. Let g = m + 305. Let w = -4.5 - g. What is w rounded to 2 decimal places?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**2 - 4*u + 2. Let t(o) = -7*o**2 - 9*o + 4. Determine -2*t(k) + 5*y(k).\nAnswer: -k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - f + 1. Suppose 6 + 12 = 6*r + 6. Let m(s) = -12*s**2 - 11*s + 3. Calculate r*m(d) - 22*o(d).\nAnswer: -2*d**2 - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 989\/6 >= 165?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/20)\/(2639\/(-232))\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1674770 and 2694.\nAnswer: 898","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 14*u**2 + 16*u - 9. Suppose -w - q + 0*q = 10, w = -4*q - 4. What are the prime factors of p(w)?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1116 divided by 3\nAnswer: -372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -5. Let f(n) = -n**3 - 3*n**2 - 1. Let c be f(-3). Are c and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(((-1296)\/45 + 29)*15).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 5.11933?\nAnswer: -10.23866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*y**2 + 25*y**2 - 71*y**2 + 4*y**3 + 25*y**2.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1834 is divided by 1163?\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49926427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.9 in -2\/85, 4, -12?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -13*d + 16. Suppose 3*y = 8 + 4. Suppose -20 = -9*i + y*i. Solve d*h - i*h - 8 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 621963.\nAnswer: -1\/207321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(931) + -5)*4 - (4*sqrt(931)*-1 + 0))**2 + 2.\nAnswer: 1120*sqrt(19) + 15298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -84*c**4 - 3067*c*r**2 - 121*r**2 + 3*r + 97 wrt c.\nAnswer: -336*c**3 - 3067*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4890569 is divided by 496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*f**2 + 17*f**2 + 7 + 13 - 18 to the form v*f**2 + z*f + t and give v.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124\/18)\/(3266\/(-14697)).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 10 = -2*x, -3*t - t = -3*x - 31. Let a be 16\/t + (-4)\/2. What is the second derivative of -2*s + 2*s**2 + 2*s**2 + 0*s**2 + 2*s**a wrt s?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f + 291. Let z(p) = p + 2. Calculate z(v(h)).\nAnswer: -h + 293","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (7 + -12 - 3) + -18 + 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, b: 1, v: 3, e: 2, i: 1}. What is prob of sequence wiew?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -16. Put -3, 5, r in decreasing order.\nAnswer: 5, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + (53 - 22) - (10 + 0)) + -16?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 617*k. Let f(p) = 542718*p. What is f(z(i))?\nAnswer: 334857006*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (113*c + 150*c - 35*c)*(0*c - 14*c + c).\nAnswer: -2964*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -55.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 1326 = -21*p + 1884 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -4*w**3 + 50*w**2 + 212*w + 192 = 0.\nAnswer: -2, -3\/2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y**0*y))\/(y\/(y*(y*y\/y**(-3)*y)\/y*y*y)*y))\/(((y*y*y\/y**(6\/7))\/y)\/(y\/y**10)) assuming y is positive.\nAnswer: y**(-22\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 472 or 473?\nAnswer: 472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57773, 57753, 57733, 57713?\nAnswer: 57693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/7))**(-4))**(-49) assuming p is positive.\nAnswer: p**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hlvht. Give prob of sequence lvh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.8 times -107\nAnswer: 85.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -58629300 to the nearest one million.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9393?\nAnswer: 3, 31, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -218, -474, -902, -1502, -2274, -3218, -4334?\n\"Answer: -86*s**2 + 2*s - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 9) to base 15\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:29 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 - 100034424103?\nAnswer: -100034424112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(3\/14)\/n)\/(n**8*n)*n**(-7\/5)\/n*n\/n**(-3) assuming n is positive.\nAnswer: n**(-573\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 26 = -h + 41, 4*h = 4*f - 40. Solve f*v = 2*u + 10, -46*u - 20 = -4*v - 42*u for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36643677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -246 + 562 - 2*p - 262.\nAnswer: -2*p + 54","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 + 0.9. Which is the closest to o? (a) -1\/3 (b) 0 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40502669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 2*d. Suppose d*l = -5*l. Let v = 0 + 1. Solve -2*b - 5 = -2*h - v, 3*h - b + 2 = l for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 2\/1957 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*c**3 - 15*c**2 - 4*c**3 + 13*c**2.\nAnswer: -12*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0171 take away -3?\nAnswer: 2.9829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.038863 - -0.338863. Let p = 17 + -9. What is the second biggest value in p, -10, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -0.5 (c) 1118 (d) 33 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60622438?\nAnswer: 2, 149, 203431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d**3 - 34*d**2 - 15*d + 259. What is f(-16)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 5:19 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of a**5\/10 - 2*a**4\/3 + 2*a**2 - 6*a. Let g be n(4). Solve -g*m + 3 = -5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/20 and 113\/970774.\nAnswer: 9707740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dejz when four letters picked without replacement from {j: 3, e: 1, z: 2, a: 1, d: 3}.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 - 410 = -38*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-297)\/(-55))\/(3\/10). Let k = l - 10. Calculate the remainder when 31 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100221 (base 3) in base 16?\nAnswer: 2338","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - y + 2975 = 2*y, -2*w + y = 1189. Let b be (-32)\/(-40) - w\/10. What is the greatest common divisor of b and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-80)\/720)\/(3\/9)*-6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17945, -35928, -53979, -72128, -90405, -108840, -127463?\nAnswer: -146304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of 8\/33*v**3 - 1\/22*v**4 - 3\/11*v**2 + 0*v + 123. Factor y(n).\nAnswer: -2*n*(n - 3)*(n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27710 + 27706. Put -1\/32, a, 2\/15, -0.5 in decreasing order.\nAnswer: 2\/15, -1\/32, -0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 69 = 4*a, 4*q - 5*a - 23 - 34 = 0. Let k(s) = 11*s**2 - 1. Let x be k(-1). Let d = x - 7. Solve 2*h = -d*v - 13, 5*v + q + 10 = -4*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1453 is divided by 111?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 137 = 4*c - 5*c, d - 50 = -5*c. Is 4 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 4*i**2 + i. Let r(x) = 5*x**2 - 1712*x - x**3 + 1712*x. What is 3*b(v) + 2*r(v)?\nAnswer: v**3 - 2*v**2 + 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -19) + 7 - (9 + 1) - -12.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 2 - 2*t + 0 + 2 + 3*t. Let d be n(-4). Factor -2\/7*b**3 + d*b + 2\/7*b**2 - 2\/7*b**4 + 0 + 2\/7*b**5.\nAnswer: 2*b**2*(b - 1)**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147353.\nAnswer: 147353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 147 - 143 = -5*s, 5*s = -2*g + 119. What is the greatest common factor of g and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from yxonnttnnoyo?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o + 45. Suppose 2*y - 3*y = -3*n - 17, -3*y + 3*n + o = 0. Is 5 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 - 29*u + 14. Let x be i(-10). Factor -2\/9*t**x - 4\/9*t**2 + 0 + 0*t - 2\/3*t**3.\nAnswer: -2*t**2*(t + 1)*(t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**5 + 2*c**5 + c**5 + (15 - 5 + 17)*(-7 + 22*c**4 - 22*c**4 + 2*c**5).\nAnswer: 56*c**5 - 189","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 859205461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -14*s. Let i(m) = -15*m**3 - 109. Let w(j) = -2*j**3. Let c(b) = -i(b) + 6*w(b). Let q(t) be the first derivative of c(t). What is x(q(u))?\nAnswer: -126*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 - 1. Let i = 5 + -3. Let d = 2.3 - i. Which is the closest to 0.1? (a) 4 (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*k - 23*k**2 + k - 2*k**3 + 6*k to g*k + w*k**3 + l*k**2 + y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (892*j + 205*j + 68*j)*(0*j - 3*j + 2*j).\nAnswer: -1165*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 - 28*c**2 - 3*c**5 + 29*c**2 + (3*c**4 - 5 + 5)*(3*c - 4*c + 4*c) + 316*c - 316*c - 18*c**5 - 2*c**5 - 3*c**5 + 3*c**5.\nAnswer: -13*c**5 + c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y**4 - 2*y**3 - 2*y**2 + 1. Let x(q) = -4925*q**4 + 8*q**3 - 9*q**2 - 195. Let w(f) = 4*c(f) + x(f). Find the third derivative of w(h) wrt h.\nAnswer: -117816*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.18 and -1408.\nAnswer: -1408.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8518 + 8518.00778. What is p rounded to 3 decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4266*a**3 + 1817*a**3 + 37781 - 37781.\nAnswer: 6083*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23841628?\nAnswer: 2, 2131, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y - y**5 - 2*y + (-y + y + 2*y**4)*(-2*y + 2*y + 2*y) + 3*y**5 - 5*y**5 + y**5 + (-3*y**4 - y**4 + 2*y**4)*(17*y + 10*y - 4*y).\nAnswer: -44*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 622041121\/1276 - 487493. Calculate the common denominator of r and 77\/24.\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + 3*x - 2*x)*(-x + 4*x - 5*x) + 146 - 34 - 9246*x**2 - 87 - 25.\nAnswer: -9242*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 - 865184*l**2 + 5191042*l - 4325860.\nAnswer: 2*(l - 432586)*(l - 5)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 301823 times 0.04?\nAnswer: 12072.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 465*r - 132 + 42 = 474*r. Put -3, -6, -2, r, -16 in decreasing order.\nAnswer: -2, -3, -6, r, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**3 + h**3 + 3*h**3.\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -796 + 14 = -23*p. Sort 1, 8, p.\nAnswer: 1, 8, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + x**2 - x - 3. What is i(3)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c\/(c\/c**1*c)))**43\/(c**(2\/3))**(8\/9) assuming c is positive.\nAnswer: c**(1145\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -5*q + a - 11, 0 = q - 4*a - 13. Let d = 8 + q. Suppose d*l + 2 = 47. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 2*a + 276 = 0. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 26.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of 0*h**5 + 0*h**4 + 0*h + 1\/6*h**6 + 0*h**2 + 3 + 2*h**3. What is the third derivative of u(w) wrt w?\nAnswer: 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ypbr when four letters picked without replacement from brpyrb?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 257 - (-10 - (-2 + -6)). Suppose 0 = 2*c - 7*c + 370. Calculate the greatest common divisor of b and c.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 6*k - 9. Give t(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237498 is divided by 33901.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25288 - -31501. What is the thousands digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = 9*m - 145. Calculate the smallest common multiple of m and 8.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p + 2. Let h be w(6). Let o(s) = -s**3 - 12*s**2 + 12*s + 6. Calculate the remainder when o(-13) is divided by 29\/4 - 2\/h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17266 and 178?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 + 3*y**2 - 6*y**2)*(7*y**3 - 5*y**3 + 4*y**3) + 38*y**5 - 18*y**5 - 19*y**5.\nAnswer: -5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -2\/3, 0.57 in decreasing order.\nAnswer: 5, 0.57, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 28 - 7 = -12*x. Is x bigger than -15\/1117?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 a factor of 6054232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/4460745 and -11\/3180.\nAnswer: 17842980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 - 24*s**2 + 1012*s + 104. Determine g(-46).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13712 and 261385?\nAnswer: 857","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1265 - 3638694\nAnswer: -3637429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6e3c1 - 3?\nAnswer: -6e3c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27 + 4*p**2 + 10*p**2 + 27 - 12*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p**2. Let z(r) = 4*r + 3*r + 2*r. What is q(z(b))?\nAnswer: -243*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -185*v. Let y(c) = 10*c - 2*c - 10*c. Calculate s(y(g)).\nAnswer: 370*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 3078*u + 7696*u - 1127*u as f*u + p and give f.\nAnswer: 9647","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (171\/(-108) + 6\/8)*-6. Suppose -j*i - 145 = -5*g, i - 57 = -2*g + 4*i. Find the common denominator of (0 - 0) + (-55)\/(-2) and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 2092*w + 1 - 1048*w - w**2 - 1044*w. Let y(l) = 5*l**2 + 5. Calculate -5*q(r) + y(r).\nAnswer: 10*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*y - 6. Let w(c) = c**3 + 7*c**2 - 8*c + 2. Let m be w(-8). Factor -t + 6*t**m + 7*t**2 + 13*t + t**4 + 4 + 6*t**y + 0*t**3.\nAnswer: (t + 1)**2*(t + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*n**2 + 2*n - 3*n**2 - 7*n**2 + (-3*n + 6*n - 4*n)*(-5 + 3*n + 5) + 25*n**2 - 11*n**2 + 19*n**2.\nAnswer: 17*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130 - -18. Let z = l - -165. Let i(m) = -m**3 + 27*m**2 - 24*m - 38. What is the remainder when z is divided by i(26)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 769 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d**3 + d + d)*(-12*d - 4*d + 4*d).\nAnswer: -36*d**4 - 12*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -62, -93?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6020 and 732935.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.36222 microseconds to milliseconds.\nAnswer: 0.00936222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3253 is divided by 522?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2967229 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 6*h**2 - 3*h - 1. Let s be -2 + (-9 - 5\/(-1)). Give u(s).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of o**8\/560 - o**6\/180 - o**3\/2 - o**2. Let q(a) be the first derivative of x(a). Find the third derivative of q(f) wrt f.\nAnswer: 72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(108)\/(-1*sqrt(9)))\/sqrt(6).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11010201122101 - 12?\nAnswer: -11010201122120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 7 = 11. What is the greatest common factor of w and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 3537, 9, 1.\nAnswer: 1, 9, 25, 3537","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3 - 6 - y**2 + 9*y - 3*y. Let l(o) = 6*o + 12. Let n be l(-4). Let f = -6 - n. What is m(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207*f = 212*f + 3*g + 27, 19 = -f - 4*g. Let v(c) = -2*c + 11. Let i(w) = 6*w - 32. Calculate f*i(u) - 8*v(u).\nAnswer: -2*u + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 41*q**2 + 372*q - 5. Give b(26).\nAnswer: -473","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -33, 1, 1\/5?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -282\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -31*g + 27*g + 4, -12 = -5*j - g. What is the units digit of 12\/(-9) + j + (-32544)\/(-108)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -7 (b) 2 (c) -2\/9 (d) -2\/17 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3*v**3 + 5496*v**2 - 10984*v + 3. Determine a(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1249337867 a multiple of 942?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbbbbzbj. What is prob of sequence bbjb?\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1538, -6224, -14038, -24980?\nAnswer: -39050","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**6))**(3\/7) assuming y is positive.\nAnswer: y**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1011010001000011 (base 2) to base 8.\nAnswer: -132103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3+12446.0383159\nAnswer: 12446.3383159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23 (b) -0.1 (c) 4113 (d) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41 and -3494.\nAnswer: -143254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*f - 69 + 9*f - 17*f + 3*f)*(-31 + 5 - 12).\nAnswer: 38*f + 2622","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 1, -4, -2, 2\/9, 0.1, 94, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -25*g - 35. Let b(r) = -8*r**2 + 96*r - 3. Let j be b(12). Let l(f) = -2*f - 3. Give j*c(o) + 35*l(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 555*k - 555*k + 3653*k**2 to n + a*k**2 + z*k and give a.\nAnswer: 3653","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5466 is divided by 71?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 125402652 to the power of 1\/3, to the nearest integer?\nAnswer: 501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = u - 1. Give g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 6 = -a - a, 0 = 5*a - 15. Suppose n*p + 6*p = -24. Sort p, -13, 3 in decreasing order.\nAnswer: 3, p, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pdakyvd. What is prob of picking 1 v and 1 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*j + 77 = 275. Suppose j*z - 340 = 2*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1454 is divided by 453.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -329 - 2*l + 329 + (-2*l + 0*l + 4*l)*(-2 - 1 + 1).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 287854 and 290?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tj when two letters picked without replacement from aajxflt?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-4) - 10\/(-8). Suppose -z*n + 4*n - 70 = 0. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -1.677532.\nAnswer: -2.077532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 - 3*q**2 + 2*q**2 + 5*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -5, -64?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*q**4 - 4*q**3 + 26*q**4 + 8*q**3 + 45*q**2 wrt q?\nAnswer: 408*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-2 + -2 + sqrt(171) + sqrt(171) + -6*(sqrt(171) + (sqrt(171) + sqrt(171) + -2 - sqrt(171)) + sqrt(171)))**2 + 5 + -3.\nAnswer: -768*sqrt(19) + 43841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/1425 + 18509\/11400. Let b be ((-4)\/510)\/(40\/77398). Let d = 4\/425 + b. Calculate the common denominator of d and a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 3*c - c)*(-2 + 2 + c)*(3*c + c - 8*c) + 2*c**3 - 5*c**3 + 4*c**3 in the form y + d*c**2 + u*c + b*c**3 and give b.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h - 113. Let b(u) = -135*u - 8902. Let p be b(-66). Give l(p).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -385947817 and -385947817 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 41 and -0.4.\nAnswer: -16.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18.9 - -26.6. Let i = a + -7.9224. Let w = -0.23 - i. What is w rounded to three dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -472*b**3*m*z**2 + 2*b**3*z**3 + 681*b**3 + 186*b*m*z**3 + 9*b*z with respect to m.\nAnswer: -472*b**3*z**2 + 186*b*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -42\/11 and -8\/155.\nAnswer: 1705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1105*g**2 + 67 - 2209*g**2 + 1102*g**2 to c + q*g + v*g**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7a5773 - 12?\nAnswer: 7a5761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 322178348 is divided by 3658?\nAnswer: 3656","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -265*t + 268*t - p - 3, 5*t - 4*p = 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 1 - 2*sqrt(208) - (-5 + sqrt(26)\/(sqrt(8)\/sqrt(4)) + -3))**2.\nAnswer: -72*sqrt(13) + 289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.1 - 0.1. Let z = 6800\/69 + -2899874\/29463. Let n = z + 1\/61. Which is smaller: c or n?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 856191 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1550.4007235063 + 1.\nAnswer: -1549.4007235063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = u - 2614 + 180, -2*m - 2*u = 1212. Let v = m - -1040. Is 36 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Suppose 4*q + 2*x - 41 = -3*x, 3*q = 3*x - s. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x - 2*i - 113 = -10*x, -x + 4*i = -41. Calculate the remainder when 108 is divided by x.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -12 + 10 - (-4 + 0). Suppose 0 = 4*k + c*k - 18. Let z(t) = k - 3 + t**2. Let p(d) = -7*d**2. Calculate z(p(b)).\nAnswer: 49*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/300 and -111\/83000.\nAnswer: 249000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) -3 (c) -32 (d) -4\/7 (e) -0.04 (f) 0.255\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 2*u + 2410, -3*y + 5*u - 2953 = -1128. Let i be (y\/(-36))\/(2\/(-96)). Let d be (-48*2)\/((-6)\/i). Round d to the nearest one thousand.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 2*z**2 - 2*z**2 - 606687*z**3 + 606688*z**3 + 5*z**2.\nAnswer: z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -1273*v + 155288. Calculate x(122).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7294628 or 7294630?\nAnswer: 7294628","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -475012395549 - 233?\nAnswer: -475012395782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -q + 168, -4*k - q + 327 = -330. Is 162 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 310\/(-25) + 3 - -10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 667\/2 - 357. Find the common denominator of m and -3 - ((-138)\/(-40))\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((91\/7)\/26)\/(2\/52)\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41696666488\/8746533 + -1\/2915511. Let i = -4773 + f. Let g = 13\/6 - 109\/18. Find the common denominator of i and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.5 - 3.9. Suppose 4*o + 12 = o. Let s be 4\/4 + (-2)\/(35\/7 - 11). Which is the nearest to -1\/4? (a) j (b) s (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 3, n: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/42 and 25\/112.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 6*n - 1. Let f(k) = 267*k**2 + 5*k + 6. List the prime factors of f(n).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 15*l - 17. Does 12 divide x(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 6 = 3*w. Suppose -s + 5*u + w = 0, -2*s - 3 = -3*s + 4*u. Suppose 0 = -s*c + 2 + 7. Solve 9 = c*b + 5*j, 0*j = -2*j for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6683252 or -6683256?\nAnswer: -6683252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from siissiseitizeiiisrii. Give prob of picking 3 i and 1 e.\nAnswer: 16\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1. Let y(c) be the first derivative of 13*c**3\/6 + 3*c**2 - 79*c - 43. Let q(g) be the first derivative of y(g). Determine 6*d(o) - q(o).\nAnswer: -13*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 7*m**2 + m + 3. Let p be s(6). Let o = p - -48. Suppose 4*n = 304 + 284. What is the highest common divisor of o and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85515740?\nAnswer: 2, 5, 4275787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/(-70) - (0 + (-10)\/(-14)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2969 (base 10) in base 15?\nAnswer: -d2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 104543220 - 5?\nAnswer: 104543211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12520 = -99*u + 107*u. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 5*g - 1, -2*b - 4*g + 10 = 2. Suppose -b*h + 12 + 20 = 0. Suppose 0 = u - 2 - h. Does 6 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/2*(-2)\/(25\/(-25)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1203*k**2 - 11*k + 15. Let w(h) = -602*h**2 - 5*h + 7. What is -6*t(p) + 13*w(p)?\nAnswer: -608*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.8? (a) 1\/5 (b) 10 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2203 + -2152. Solve 7*f + 10*f + w = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1\/5)\/((-510)\/23375). Suppose 45 = -2*s - 3*s. Is s < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24 - 24. Solve k = -5*a - 2*f - 23, 3 = 3*a - 3*f + 21 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 106 or 220196\/2081?\nAnswer: 220196\/2081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(5\/4))**16 assuming z is positive.\nAnswer: z**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(378)*-1)\/((sqrt(120)\/sqrt(2))\/sqrt(10)))\/((sqrt(576) + sqrt(576)*1)*5 + (sqrt(576) - sqrt(576)*1 - sqrt(576))*2).\nAnswer: -sqrt(7)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247396 = 5096*a + 920068 for a.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 74*y**4 - 17*y**2 + 17*y + 24. Let m(o) = 25*o**4 - 6*o**2 + 6*o + 8. Let l(z) = 6*c(z) - 17*m(z). Differentiate l(x) with respect to x.\nAnswer: 76*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -4\/933 and -95\/64.\nAnswer: 59712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -13*l**4 + 4747*l**3 - 98529*l**2 - 87511*l + 15778 = 0?\nAnswer: -1, 2\/13, 23, 343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 281, 272, 263, 254, 245?\nAnswer: 236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -373 + 277. Let j = -96.4 - k. Which is the second biggest value? (a) -14 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1543 - 1541. Solve r + 2*r = 3*p - 12, -11 = -r - u*p for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 - 2\/3*m + 1\/3*m**4 - m**2 + 0*m**3.\nAnswer: m*(m - 2)*(m + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = z. Suppose 0 = -z*s - 0*s + 8. Let v be (-3 + s)*(0 - 2). What is the third biggest value in -0.4, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45333 divided by -9?\nAnswer: 5037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 3*z = -76. Is z\/(1*(2 + -1)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a decade in months?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + (13 - 8) + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*t = -272*t + 59*t - 10005 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3 - 6*h**2 + 3*h + 2*h + h**3 - 3*h. Let r be o(6). Suppose -9 - r = -l. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1909 - 1077 + 838 - 1019 - 1226 - 2727*q wrt q.\nAnswer: -2727","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -56 - -79. Suppose -4*s = -265 - t. What is the highest common factor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 215, 338, 461, 584?\n\"Answer: 123*h + 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-21))\/(-4)*(-28)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1, 30, 73, 136, 225?\n\"Answer: a**3 + a**2 + 19*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00042030624 to 7 decimal places.\nAnswer: 0.0004203","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + z + 3*z = 14, -4*q = 5*z - 37. Let g(d) = 22*d**q - 3 - 1 + 5*d + 7*d**2 - 21*d**3. Give g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 1\/40*o**5 + 1\/12*o**4 + 0*o**3 - 3*o + 0*o**2 + 0. Find t such that n(t) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183\/6 + (-8)\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 553.0659 + -590.064. Let z = 40.22 + -3.22. Let m = o + z. What is m rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-1 + 22 + -12 + 12 + 5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 45*v + 40*v - 1867481, -l + 466858 = -3*v. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -2*z + 2, -667 + 382 = -3*s - 16*z - 23*z - 60*z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 14 (b) -4\/3 (c) 1467\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and -180.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/225 and 39\/500?\nAnswer: 4500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133187710?\nAnswer: 2, 5, 23, 227, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1769999.85us in days?\nAnswer: 0.000020486109375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 = -9*a + 4*a. Let j = -1044.2 + 1044. Sort a, j, -4, 1\/5 in descending order.\nAnswer: 1\/5, j, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*x + 26*x**2 - 20*x**2 + 41*x**2 + 313*x.\nAnswer: 47*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*m + 40, 0 = 5*m + h - 2*h + 20. What is the second biggest value in 0.4, m, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4945519.8 and -337.1.\nAnswer: -4945856.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 479\/5 + 20\/(-25)?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2868458 to the power of 1\/2, to the nearest integer?\nAnswer: 1694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2034 + -2035. Suppose 0 = 2*v - v + 6. What is the smallest common multiple of 12 and (4\/v)\/(n\/6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 20?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11241611, 22483223, 33724835, 44966447, 56208059, 67449671?\nAnswer: 78691283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 2*z**2 - 4 - 95 + 91 - 3.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*x + 6*x = 1020, -u + 3*x = -328. Suppose 15 = 340*a - u*a. Let w(k) = -2*k + 2. Let f(t) = t**2 + 5*t - 5. Determine a*w(r) + 2*f(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0. Let h(m) = -m**3 + 0*m - m**2 - 4*m**3 + 0*m. Let o be h(-1). What is the nearest to 1 in p, -5, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -307\/2249 + -3\/173. Suppose 0*k + p + 2 = 2*k, 5*p = 2*k + 6. Which is the closest to q? (a) 4 (b) 3\/8 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -30*m + 183. Solve -t - 3*f - 40 = -6*t, -5*f - 50 = -m*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - 14 - 238*m**2 - 5 + 34 as v*m**2 + z + c*m and give v.\nAnswer: -238","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12832 is divided by 1783?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20.8 or -12559?\nAnswer: -20.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.08245 - -3.9175436. Let l = 221 - 225. Let f = l + c. Round f to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101101100010001 (base 2) to base 16\nAnswer: 5b11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2377222 months in millennia?\nAnswer: 0.00018647685","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 24*o**2 + 15*o - 28. What is the least common multiple of d(2) and 315?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -18*l + 686. Let o(y) = -9*y + 366. What is -6*c(a) + 11*o(a)?\nAnswer: 9*a - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15225159 to the power of 1\/2, to the nearest integer?\nAnswer: 3902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*1*-3*1\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3866443)\/12459)\/((-35)\/15)?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 3)*(-4*s**2 + 4*s**2 - 5*s**2) - 3 - s**2 + 3 + (s - 2*s + 3*s)*(-3*s - 3*s + 5*s) + s**2 - 4*s**2 + 2*s**2 - 2*s**2 + s**2 + 0*s**2.\nAnswer: 15*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -106*w - 1817*w**5 - 2557*w**5 - 497*w**5 + 862*w**5 - 277*w + 2 wrt w?\nAnswer: -80180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 6 - 9\/9 - 13\/(-1)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 6*m**2 + 5*m. What is the remainder when r(7) is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 7*k - 1. Let g be l(1). Let u be 759\/198 + (-2)\/(-12). Suppose -u*w + w = -g. Solve 2*t = 4*m, -w*m - 3*m + 5*t = -10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u. Let c(o) = 33*o + 14. Let n(b) = -17*b - 8. Let y(i) = 4*c(i) + 7*n(i). Calculate y(f(t)).\nAnswer: 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((d*d**9)\/d)\/d)\/d)\/(d\/d**14))\/(d**(-8\/7))**(-9))**(1\/23) assuming d is positive.\nAnswer: d**(68\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 32*f + 61. Calculate the remainder when x(2) is divided by 26.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 877180 and 23180?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*p**3 - p**3 - 3*p**3 + (0*p - 5*p + 4*p)*(p - p - 2*p**2).\nAnswer: 15*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:38 AM and 7:29 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9235841 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 672.9942 micrograms?\nAnswer: 0.0006729942","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3733*j + 3695*j + 190. Solve 0*b + 3 = -3*x + b, 2*b = -j*x - 5 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 7*v - 2*v - 5, -l = 5*v - 17. Suppose v = 5*c + 8. Is c less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 472594, 945189, 1417782, 1890373, 2362962?\n\"Answer: -n**2 + 472598*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 1. Let n be 5 - 2 - 2\/1. Let z = -2 + n. Is z != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p. Let l(q) = -8*q. Suppose -5*n - 1 - 14 = 0, 4*n + 24 = -3*o. Determine o*j(k) + l(k).\nAnswer: -4*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**2. Let v(l) be the first derivative of 5*l**3\/3 + 63. What is v(d(b))?\nAnswer: 5*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 + 55. Let u = d - 60.35. Let n = u + -0.15. Is n greater than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 12) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 17, 4 in increasing order.\nAnswer: 3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -11*w**2 - w - 1. Let y be ((-3)\/2)\/(2\/(-4)). Suppose 3 = 5*a - 2, -a + y = -2*m. What is x(m)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-3)\/5 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2002126675 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -14576*d**4 - 13078?\nAnswer: -58304*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 5, e: 15}. What is prob of sequence kkek?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 AM and 6:51 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/((-2646)\/(-203)) + (-10)\/(-20).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 297 - 363 = -22*v. Which is the third smallest value? (a) -0.03 (b) v (c) -226\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the first derivative of 6*s**2 - 3*s + 4. Let i be z(2). Let h = 142 - i. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 5*p**2 - 2*p - 5. Let x be y(-5). Put x, -3\/4, -5 in descending order.\nAnswer: x, -3\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -0.3, 36, 0, -4.\nAnswer: -15, -4, -0.3, 0, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*z + 115*z - 104*z.\nAnswer: -14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 33 - 65\/2. Suppose -7 = m - 11. Let s be 4 - 10\/m*9\/6. Which is the closest to 6? (a) s (b) 1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 713507364 to the power of 1\/2, to the nearest integer?\nAnswer: 26712","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 32.24182 rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 349 - 285. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/13? (a) -0.3 (b) -0.2 (c) -100806 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.651997 rounded to 1 dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.03303 (b) 9 (c) -5 (d) -0.02 (e) 0.06 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 - (3 - (4 + -4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of p**5\/12 + p**4\/12 - 5*p**3\/6 - 6*p**2 - 23*p. Let s(r) = r**2 - 5*r + 4. Let a be s(5). List the prime factors of c(a).\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*d - g + 23, -d + 5*g + 11 = 0. Let c = 8 - d. Suppose c*p - 36 = -0*p. What is the remainder when 53 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-198)\/660)\/((-9)\/(-5))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/9, 0.2, 81, -2\/9, 5, 2\/21?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -32*a + 5. Let n(q) = q + 1. Let p(g) = -6*n(g) - y(g). Is p(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 258538837 is divided by 1192?\nAnswer: 1189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.67 + 0.83. Let d = 39.41 - z. What is d rounded to one decimal place?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -6*x**2 + 180*x - 1472. Calculate y(9).\nAnswer: -338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 18, v: 2}. What is prob of picking 2 m?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -h**7\/3780 + h**6\/540 - h**5\/180 + h**4\/12 + 4*h. Let b(w) be the third derivative of n(w). Suppose b(l) = 0. Calculate l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408 and 1479?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppppppppp. What is prob of sequence ppp?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2342125.\nAnswer: 5, 41, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {q: 4, s: 7, g: 6}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 5755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r**3 + 0*r)*(2*r + 3*r - 3*r) + 4*r**4 + r**3 - r**3 - r**4 + 5*r**4 - 3*r**4.\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -297*x**3 + 290*x wrt x.\nAnswer: -1782*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 91305164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + c**2 - 1. Let k be a(1). Which is smaller: k or 9\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -3, 5 in ascending order.\nAnswer: -13, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (418*y + 203*y - 2597*y - 581*y)*(41*y + 26 - 26) to k*y + t*y**2 + s and give t.\nAnswer: -104837","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 203*u**2 - 3*u + 106*u**2 - 295*u**2 + 2*u + 63*u**2.\nAnswer: 77*u**2 - u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 148 + (34 - 114) - 46?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 20*x - 27. Let s be w(18). Suppose 13 = 3*z + 4*d, -s = z + d + 3*d. Let b(i) = z - i - 27 + 13 - 2*i. Calculate b(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -369767 divided by -4?\nAnswer: 369767\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.8 greater than or equal to -0.37?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4962438 is divided by 109?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.775 rounded to one decimal place?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1678 and 851.3?\nAnswer: 1428481.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/3)\/((-3)\/18). Suppose d = 5*g - 27. Suppose -2*b = 2*v - 116, -2*v + 269*b = 272*b - 115. What is the remainder when v is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -8*p + 4. Let t(o) = -o. Let i(k) = -2*s(k) + 20*t(k). Let a be i(-3). Solve 0 = -a*r + 2*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30527 is divided by 5265?\nAnswer: 4202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -8*i + 1. Let s(k) = k - 1. Give -f(q) - 6*s(q).\nAnswer: 2*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 + 10*p**2 + 10*p + 14. Let d be o(11). Solve -c + 29 = 5*s + 7, d*c - 11 = -4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -1183?\nAnswer: 5\/1183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from nggkkbxnbkgwnkx?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 47281 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1262862 and 9066.\nAnswer: -1253796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -4 - 27*x + 32*x - x. Let c(u) = 2*u - 2. Determine 5*c(s) - 3*o(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -260.3997213 rounded to 2 decimal places?\nAnswer: -260.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m = 49*m - 151*m + 855 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -713, -702, -677, -632, -561, -458?\nAnswer: -317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5061939, 10123891, 15185843, 20247795, 25309747?\nAnswer: 30371699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20530831*m**3*s**4 - 403*m**3*s - 2913*m**2*s - m*s**2 wrt s.\nAnswer: -246369972*m**3*s**2 - 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -2\/5, 1\/13, -0.444, -4 in descending order.\nAnswer: 1\/13, -0.07, -2\/5, -0.444, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26466*z**2 - 13232*z**2 + 162*z**3 - 13234*z**2.\nAnswer: 162*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -58 + -6 + -116 - -95?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 689\/3, -0.3, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**2 + 96896*u + 5709902 = 0. What is u?\nAnswer: -48389, -59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2084*h**3 + 2027*h**3 + 0 + 58*h + (-h - h + 4*h)*(-h**2 + 1 - 1).\nAnswer: -59*h**3 + 58*h + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 161, 1\/6, -578?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 927949?\nAnswer: 11, 7669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1528707.\nAnswer: 3, 509569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**0)\/(q**7*q))\/(q*q**(2\/3))**5*(q**4*q*q*(q*q\/q**(3\/5))\/q)\/(q**(-2\/3)*q)**(-2\/11) assuming q is positive.\nAnswer: q**(-488\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iiixxiiiiiii. What is prob of sequence xxi?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 15b7c - 1292?\nAnswer: 148da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4380827 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1239*s = 1264*s - 48375. Is s greater than or equal to 3869\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/6 - (220\/(-96) - -2)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 22201*a**3\/2 - 596*a**2 + 8*a = 0. What is a?\nAnswer: 0, 4\/149","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-47 + -50 - -191) + -110.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 8 (c) 230 (d) 1\/4 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -456 + 5?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1456 divided by -73550.\nAnswer: -728\/36775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -108974, -4\/3, 2\/9 in ascending order.\nAnswer: -108974, -4\/3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 8*u - 10*u + 3*v, -2*v = 30. Factor u - 6\/5*s**3 - 1\/5*s**4 - 4\/5*s - 9\/5*s**2.\nAnswer: -s*(s + 1)**2*(s + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 - 111721553\nAnswer: -111721547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*-5.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**2 - 4590*x - 1053405.\nAnswer: -5*(x + 459)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1729 times 0.006\nAnswer: 10.374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d3d (base 15) in base 5?\nAnswer: -200413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, j: 4, r: 5, h: 2}. Give prob of picking 1 f and 2 h.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let c be 39\/(-3)*-1*(2 - 1). Is ((-2)\/(c - 7))\/((-1)\/699) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -14*(9 + -7 + (-30)\/20). What is the nearest to 2 in o, -1, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 1 - 1 - 192*q**2 + 169*q**2 as u + o*q + i*q**2 and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 9*o - 5. Suppose -4*i = 5*m - 2*i - 16, -4*m + 4*i - 4 = 0. Does 13 divide d(m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3390263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1489 - 1497. Suppose -5*b = h + 6, -4*h = -0*b + 3*b - 44. Let c = h + d. Solve 0 = y - c*y - 5*k + 50, 0 = 3*y - 2*k - 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 676*i**4 + 4368*i**3 + 7992*i**2 + 3024*i + 324 = 0. Calculate i.\nAnswer: -3, -3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 13, u: 2, q: 2, n: 2}. Give prob of sequence qn.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*p = -55*p + 12. Differentiate 33*a**2 - 2*a**3 + 5*a**2 + 240 - 144*a**p wrt a.\nAnswer: -6*a**2 - 212*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1660723 + 18281103\/11. Let m = -109171\/88 + k. Let q = m + 45. What is the common denominator of q and -75\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*z + 3*t + 14, -5*z + 5*t + 20 = 0. Solve 0 = -b - z for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - d = -10, 0 = 2*u - 2*d - 16 - 0. Suppose -u + 4 = -b. Is b < 2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -11*x**3 + 8*x**2 - 8*x - 40. Let u(k) = 10*k**3 - 6*k**2 + 6*k + 41. Give 3*g(w) + 4*u(w).\nAnswer: 7*w**3 + 44","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/18)\/v**(-1\/3)*((v*(v*v**(-4))\/v)\/v)\/v**0 assuming v is positive.\nAnswer: v**(-67\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01100657747 rounded to five dps?\nAnswer: -0.01101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4*l = -18, -z + 54 = -4*z - 3*l. Let b be z\/(-30) + (-248)\/(-20). Suppose i - 6*i + 60 = 0. Solve b = 5*t - i for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 14*b**2 - b + 10. What is o(-14)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 + 7*g**2 - 6*g + 4. Let j be x(6). Suppose -9 = -4*i + 2*w + 23, -j*i + 5*w + 44 = 0. Let o be ((-2)\/i)\/(1\/(-9)). Is 3 less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 3) to base 13.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/635)\/(40\/(-100)). Let w = 1309\/1651 + v. Factor 0 - w*j - 2\/13*j**2.\nAnswer: -2*j*(j + 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 688 and 129?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 + 12*n + 12. Determine c(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**4\/7 + 7964*r**3\/7 + 3293182*r**2\/7 + 343857096*r\/7 + 523695744 = 0. Calculate r.\nAnswer: -187, -12, 4368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 125096341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-9) + 1\/6. Let l = -9 - -12. Let d = l + -1. Which is the closest to 1? (a) -3 (b) d (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.2, 2\/13, -2\/5, 3785, -6\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.49 + -44?\nAnswer: -44.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 2*g - 9 + 2 - 5 to y*g + c and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2143737?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15732 - 828. List the prime factors of p.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 8*p + 6 + 10*p**2 - 3 + 0*p**3 + 0*p**3 + 2*p**3. Let b be q(-4). Solve 0 = -5*o - 2 - b for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*u - 7560 = 67*u + 47*u. What is the greatest common factor of u and 18684?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720)*2 + 0)*6*6)**2*1.\nAnswer: 3732480","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11\/3 - -13\/3. Suppose -l - 2*w = -13, -2*l - 2*l + 37 = 5*w. Suppose -1 = 2*h + l. What is the second smallest value in -2\/13, a, h?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1792, -7161, -16110, -28639, -44748?\nAnswer: -64437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-30) - 42\/(-60))*-4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 3*m**3 - 37*m**2 + 4*m + 4. What is i(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000754530101 to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(10\/9))\/z)\/z**(-1\/4))\/(z**(1\/12)\/z**13) assuming z is positive.\nAnswer: z**(257\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 2*c - 6*c + (3*c - 3*c + c)*(3 - 1 - 1) - 2*c + 2*c + c - 1381*c - 1623*c - 731*c to the form y*c + s and give y.\nAnswer: -3736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -29. Let q be -291 - -294 - ((-202)\/(-66) + 0). What is the second smallest value in -0.1, 3, q, o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 5*g - 37, -5*o = 2*g - 11 + 1. Suppose -2*i + q - 4 = 6, 26 = -o*i + 5*q. Sort i, -5, 5 in increasing order.\nAnswer: -5, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-2))\/((-5)\/20). Let v(i) = 12 + 5*i**2 + 0*i**2 - 4*i**q - 9*i. Let c be v(8). Solve o + 5*r + 16 = 0, 0*o - c*r = -o + 11 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3558133643 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 876 - 875. Which is the fourth smallest value? (a) -1\/5 (b) k (c) 2\/5 (d) 0.88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.1 (b) -16 (c) 23 (d) -0.4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*f + 1184 = 0, -26*f = 4*l - 30*f - 4808. Sort l, 4, 0.1 in descending order.\nAnswer: l, 4, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7539 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 24510262 rounded to the nearest 1000000?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 - -177?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 227893 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/38*32\/(-2)*(-124)\/(-1984).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, m: 3, l: 5, t: 2, b: 1}. Give prob of sequence mnbm.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -62 and 6.9218572223?\nAnswer: 68.9218572223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cnn when three letters picked without replacement from {n: 9, p: 2, c: 3, m: 5}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.9 + 8.7. Let g = -0.13 + 1.33. Let t = s + g. What is the nearest to t in -4, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4069.5 times 0.4?\nAnswer: -1627.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(sqrt(176) + 0) - (1*(sqrt(88) + sqrt(88) + -2*sqrt(88)))\/(sqrt(128)*3))*-3.\nAnswer: -240*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -4*k**3 + 6*k**2 + 2*k - 6. Let x be s(-3). Let q = x - 149. Solve q + 0 = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -f*n*v**2 + 3*f*n + 69281*f*v**2 + 8*f + 375*n*v**2 - 7*n*v + 7*n - v**2 - v - 31 wrt f.\nAnswer: -n*v**2 + 3*n + 69281*v**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*f - m - 19, 0 = 4*f - 4*m + 52 - 28 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -135*m**3 - m**2 - m - 1. Suppose 6*r + 5 + 1 = 0. Is i(r) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 135, -2, 1, 5 in increasing order.\nAnswer: -22, -2, 1, 5, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -8*(91\/(-14) - -5). Suppose 3*p = 6, -i*p = 4*t - 17*p + 30. Which is smaller: -17 or t?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s + 10*s - 105 = 0. Solve 0*g - s = 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 6*q**2 - 3*q. Let o(m) = -m**2 - m. Determine -g(l) + 3*o(l).\nAnswer: -9*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m + m + 2 - 2*m. Let a be z(1). Let l(g) = g + 1. What is l(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((6*f**3 - 2*f**3 - 2*f**3)*(-3 - 2 - 5) + 3*f - 3*f - f**3 + (-4*f + f + 4*f)*(0 + 0 - 2*f**2))*(2*f**2 - f**2 - 2*f**2).\nAnswer: 23*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 233 and 0.0379.\nAnswer: 8.8307","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than 90.716025?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -189 in 7\/107, -4\/3, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 1\/5, -2761?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1*19\/(-152)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 359878 is divided by 359874?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42847, -85593, -128311, -171001?\nAnswer: -213663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 55*y**2 + 6*y + 2. Calculate the remainder when 301 is divided by z(-1).\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -12\/25 (b) 5 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15687420 - 2950421.\nAnswer: 12736999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -89*b**3*f + 171*b**2 - 2034*b*f - 4*b - 2 wrt b?\nAnswer: -534*b*f + 342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 13 = -g, 5*g + 4*h + 2 = 1. Suppose -g*q - 1933 = -t - q, 0 = 4*t + 2*q - 7702. Let j = t - 3027. What is j rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/265 - -552\/2915. Suppose -3*z + 31 = -4*p, 2*p - 7*p - 4*z = 0. Which is the nearest to p? (a) -0.1 (b) 7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 - 1. Let s = g - 0.1. Let o = 71 + -70. Are o and s equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 3*z + 5*c, 4*z + 1642*c - 1638*c + 8 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 16*w**2 - 1. Let m = 8 - 7. What is g(m)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35*p**3 - 1675*p**2 + 255694*p wrt p?\nAnswer: -210*p - 3350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00249802 to four decimal places.\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*o = -30*o - 747. What are the prime factors of o?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 173 - -192. Let s = 370 - q. Solve -s*r = 15 + 5 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 599, 5, -10, -16 in decreasing order.\nAnswer: 599, 7, 5, -10, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 102890841?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -863, -1727, -2591?\n\"Answer: -864*s + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*f**2 + 7*f**2 + f + 0*f**2 - 9*f**2 - 2 in the form n + q*f + b*f**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44, 68, 108, 164, 236, 324, 428?\n\"Answer: 8*u**2 + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**8\/20160 + 7*g**6\/240 - g**5\/20 - 5*g**2. Let y(c) be the third derivative of u(c). List the prime factors of y(0).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-272*f**2 + 272*f**2 - 25*f**4)*(-1 + 0 - 13*f + 0).\nAnswer: 325*f**5 + 25*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 21*v**2 - 35*v + 47. What is the remainder when q(19) is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -237*q**2 - 12*q**2 - 16*q**2 - 227*q**2 to the form k + p*q + h*q**2 and give h.\nAnswer: -492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o = 9. Which is the nearest to -1\/4? (a) o (b) -0.8 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**4\/5 + 1411612*y**3\/5 + 66439579416*y**2 + 5217426867548180*y + 994106716058745550 = 0. Calculate y.\nAnswer: -235205, -191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add -207.3 and -35.7373.\nAnswer: -243.0373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 7, -1\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.02918 + 11.02918. Let f = -15 + 13. Which is the nearest to p? (a) f (b) -2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-11))\/((-453)\/(-1661)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -59? (a) -2 (b) 0.1 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5011 a factor of 3997739527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(4\/9))\/((k*k*k**11*k)\/k) assuming k is positive.\nAnswer: k**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 - 25*q**2 + 13*q - 1747. Determine t(23).\nAnswer: -2506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 3:42 PM?\nAnswer: 8:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s - s + 3*s - 4 - 3*s. What are the prime factors of z(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 + 99*c - 225. Calculate v(-20).\nAnswer: -605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 115 - 235 - f + f**2 + 104. Does 8 divide r(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 33*f - 512. Let x(z) = -66*z + 1016. Let p(l) = 5*o(l) + 3*x(l). Is p(-6) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (0 + 0 + sqrt(1584))**2)*-3.\nAnswer: -4758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 403, 409, 415, 421, 427?\n\"Answer: 6*l + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(162\/39) + 2\/9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.56 times 4?\nAnswer: 2.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -5*i + 406, 6*i = 2*u + 3*i - 277. Let y = 177 + u. List the prime factors of y.\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/(-30)*(-2)\/5. Sort z, -7, -1\/5, -1\/9 in descending order.\nAnswer: z, -1\/9, -1\/5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**3 - 4*n**2 - 5*n - 5. Is m(-4) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19584 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 ((-1)\/(-5))\/(6490\/(-1475)).\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4725 = 178*g + 47*g. Solve 2*x = 3*h - g, x + 3*h - 17 = -5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 2. Let s(g) = -5*g**2 + 20. Let l(j) = s(j) + 10*y(j). Let v(a) = -5*a**2. Calculate v(l(m)).\nAnswer: -125*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -99? (a) -1\/7 (b) -3 (c) 97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.2, 1, -909, 0.4 in descending order.\nAnswer: 1, 0.4, -0.2, -4, -909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 27.2, 2, -1.7, -3\/4?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 3:17 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -170901.\nAnswer: -683604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 145 (base 8) to base 12\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 55 - ((-27 - -15) + 54)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 - 4*j**3 - 2*j**3 - 2*j**3 - j**3 + 8*j**3 + (3*j - 2*j + 0*j)*(j**2 - 3*j**2 + j**2) as v + l*j**3 + w*j + t*j**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((o**(-10)\/o)\/o*o*(o\/o**16*o*o*o)\/o*o*o*o)**(-45))**(-26))**35 assuming o is positive.\nAnswer: o**(-859950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 304.4 - 304. What is the closest to -1 in k, 0.2, 3, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*s - 18*s + 19*s)*(-5*s + 3*s + 0*s + (0 + 0 - 1)*(-4*s - 3*s + 0*s))*(0 - 3 + 2).\nAnswer: 135*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28136386?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k = 429*k + 174*k + 28215 for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 39343 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 905 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**4 + 0*y + 3 + 2*y + 4*y**3 - 4*y**3 in the form a*y + q*y**3 + x*y**2 + m*y**4 + k and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5620, -3, 0, 1, 9 in increasing order.\nAnswer: -3, 0, 1, 8, 9, 5620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -551360 (b) 0.6 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 5*q = -528, -3*q + 623 = 5*s - 6*q. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 8.823 from 71472770.5.\nAnswer: 71472761.677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -174, -262?\nAnswer: -350","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(4\/11)\/b)\/(((b\/(b*b**(2\/59)))\/b)\/b) assuming b is positive.\nAnswer: b**(907\/649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 AM and 7:54 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/5))**(-5\/12)*((q*q**0)\/q*q)**(-28))**43 assuming q is positive.\nAnswer: q**(-7181\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -217 + 246. Calculate the highest common factor of 667 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20446 + -20041. Solve 39*s + 249 = k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 7*a**2 - a**2 - 11*a**2 + 6*a**2. Let j(f) = -29*f. Calculate j(b(n)).\nAnswer: -29*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -201? (a) -4\/53 (b) -1\/8 (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-4 + 3 - (-11)\/5).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 36588*i + 1680936. Calculate b(46).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 3:17 AM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -5*u**4\/24 - 13*u**3\/6 - 2*u**2. List the prime factors of x(-12).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162)*5)\/sqrt(9) + (sqrt(1458) - (2*sqrt(1458) - sqrt(1458))))\/(-3*(2*sqrt(30)\/sqrt(5) - (sqrt(600) - sqrt(24)))).\nAnswer: 5*sqrt(3)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 596029 >= 4172194\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 67*b - 268, 21 + 1 = 7*z - 10*z + 4*b for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from heentehe. Give prob of picking 1 h and 1 t.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 + 9*l - 1. Let g = -57 - -64. What is the remainder when 48 is divided by r(g)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -37, -97, -159, -223, -289?\n\"Answer: -i**2 - 57*i + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 573, 0.71, 2\/20047?\nAnswer: 0.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16496177?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 + 18. Let d be (1 - 0)\/((-2)\/(-14)). Suppose d = -0*c + c. Calculate the highest common factor of c and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/237, -0.03, -1\/15, -3.\nAnswer: -3, -1\/15, -0.03, -5\/237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4791, 5041, 5291, 5535, 5767?\nAnswer: 5981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -358 + 243. Let x = d - -225\/2. Let y = -13 - -64\/5. Which is the biggest value? (a) y (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 365 (b) -3\/2 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 122\/(-3) - (-36 - -32). Let q = k + 42. Are q and 5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(45) + sqrt(5) + sqrt(5))**2 + -4)*6.\nAnswer: 4356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5488091 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 2318 - 2314 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 212 = -28. Let k = 156 + j. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4633.9 - 4662. Which is bigger: -0.03 or x?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39788611 is divided by 296.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 17*v - 6. Let x be z(-5). Let u be 280\/x + (3 - 0). Which is smaller: u or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.26 + 0.26. What is the nearest to -0.1 in 0.1, w, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -45 - 3 - 23*n + 41 + 2 + 3 in the form a*n + x and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2854*m + 1504*m + 1638*m)*(0 + 2 - 3).\nAnswer: -288*m","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -6*t**3 - 2*t**2 - 23*t + 5. Let x(u) = 5*u**3 + 2*u**2 + 21*u - 4. Give -4*k(l) - 5*x(l).\nAnswer: -l**3 - 2*l**2 - 13*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 9*f**2 - 10*f**2 + 1 - 2*f.\nAnswer: -19*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26086462265 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -148, -56, 2, -1, 1, -24 in increasing order.\nAnswer: -148, -56, -24, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 13*o**7\/5040 + 3*o**5\/5 - 2*o**2 + 84. Let v(k) be the third derivative of n(k). Let g(h) = 21*h**2. What is g(v(w))?\nAnswer: 3549*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1813691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 15*g**2 - 4*g**3 - g - 8*g**3 - 31 + 13*g**3. Is q(-9) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-886)\/((78\/91)\/(-6)).\nAnswer: 2, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, n: 2, m: 1, u: 4}. Give prob of picking 1 w and 2 n.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1064\/(-19)*(-6)\/(-3)*30\/60.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of m**3\/3 + 2678*m. Let r(t) = -6*t**2 + 16*t. Give o(r(g)).\nAnswer: -12*g**2 + 32*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - l = 4, 4*w + 3*l - 3 + 15 = 0. Let q be (-2 - -1)*w\/(-1*4). Sort q, 2, 4, -2 in descending order.\nAnswer: 4, 2, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09787301 rounded to 3 dps?\nAnswer: 0.098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4a32a42 - 3?\nAnswer: -4a32a45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 3:31 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2850 - -2876. Put -17, -1, t in ascending order.\nAnswer: -17, -1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 4*r = 18, -2*r + 4*r + 36 = -5*o. Let h be (-30740)\/150 - 2\/o. Let x = h + 204. What is the third smallest value in 2\/17, x, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7600 and 65740.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 4:28 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 - 387\/7. Let d = -0.08 + 1.58. Let m = d - 2. Sort -3, m, w in increasing order.\nAnswer: -3, m, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(1*(sqrt(3456)*1 - sqrt(3456)) + sqrt(3456) + sqrt(3456)))\/(1*5*sqrt(24)\/sqrt(3)*-3).\nAnswer: 32*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 PM and 10:15 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7757397 < 7757405?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 2. Suppose -6*b - 5 = 13. What is the remainder when q is divided by (-1)\/(-4 - b)*5\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41 and 3.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cubcbcucccccccuucuu. Give prob of picking 2 u.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -m + 1 + 8, -4*m = -3*d - 8. Let s(n) = 7*n - m*n - 8*n - 7*n. What is the tens digit of s(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express w**4 - 6*w + 11*w - 7 - 3*w - 2*w**3 + 5 as n*w**3 + g*w**4 + x + t*w**2 + j*w and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 328 - 334. What is the units digit of 4\/l - (-4979)\/39?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2232 + 0?\nAnswer: 2232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*n**4 + n**2 + n + n - 4*n in the form w*n**3 + z + u*n + s*n**4 + c*n**2 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (33*c - 111 + 111)*(2 + 1 - 4) in the form o + g*c and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 + 5*l + 1. Let a be x(5). Suppose 0 = -5*v + 10*v - 5. Do a and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1615*166\nAnswer: 192.809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16a14 (base 11) to base 7\nAnswer: -126353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37789391?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 12 + -8 + -28 - -17.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1423522324?\nAnswer: 2, 7, 829, 8761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/15 and (5\/(-5))\/(132\/212).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 2190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11404, -11406, -11408, -11410?\nAnswer: -11412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h + 161 = 217 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.75, 0, -1\/2, -0.2, -2, 5\/6.\nAnswer: -2, -1\/2, -0.2, 0, 0.75, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*l - 40*l - 106*l as w*l + m and give w.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 1\/4 (b) 0 (c) 34 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17808, -17079, -16350, -15621, -14892, -14163?\nAnswer: -13434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 60864 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - 115 - 117 + 323 - 2*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25038600 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 2:18 AM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15637 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 5*x - 3 = 0, 32*x - 34*x + 8 = 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 36. Let j be (6\/(-63) - 8\/14)*414\/12. Calculate i(j).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 - 3*g**4 + 5*g**4 - 8 - g**2)*(-1 + 1 - g).\nAnswer: -2*g**5 - g**3 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 9) to base 12\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108)*-4)**2 - (sqrt(21)\/(sqrt(7)*-3) - sqrt(3))**2.\nAnswer: 5168\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**2 - 48*u + 84.\nAnswer: 3*(u - 14)*(u - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15\/5257 or 0?\nAnswer: -15\/5257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 10 = 5*r + 3*p, 0 = -3*p + 9. Let k be -4 + (-46)\/r + -2. What is the highest common divisor of 16 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 6*y + 4. Let i be v(-4). Suppose 7*z = i + 9. Calculate the smallest common multiple of 61 and z.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*v = 33*v + 3, -2*v - 18 = -4*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -199286, -199286, -199284, -199280, -199274, -199266?\n\"Answer: y**2 - 3*y - 199284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3035.16 - 3034. Which is smaller: p or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z + 29 = -123. List the prime factors of z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-280)\/(-21)*(-3)\/(-2). Solve 3*r - 4*r - 20 = -4*k, 4*k = 2*r + c for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5 + 2)\/(-3*2\/1638). Let w = -823 + v. Let b be -3 - -1 - 0\/1. Put -6, w, b in descending order.\nAnswer: b, w, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -43, -80, -151, -268?\nAnswer: -443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 42*s**2 - 126*s + 6. Let m be b(3). Solve 3*k - 5 = -4*w, 11 = -k + m*w - w for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*r - 18, 22 - 13 = -4*u - r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 2*u + 4*n - 48, 3*u - 2*n - 77 = 0. Suppose -4*p = -u*m + 22*m - 453, 346 = 3*p + 4*m. Is p a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 269 - 24*w**2 - 267 + 4*w - 4*w + 61*w**2. Let o(m) = 57*m. Calculate p(o(s)).\nAnswer: 120213*s**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -1 (c) -699 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 92*b**3*s - 2*b**2 + 2*b*s - 35*s wrt b?\nAnswer: 552*b*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 112 or 69?\nAnswer: 112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - 2803448\/(-351648)*-1. Let i = -1\/10989 - b. Find the common denominator of i and 149\/156.\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/30 + ((-748)\/360)\/(-11).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/346 + 713\/7266. Let q = -7 + 3. Let g = q - -4. Which is the smallest value? (a) g (b) o (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0158964 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 97*t**2 - 423*t + 1941. Calculate w(5).\nAnswer: 2251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c - 2. Let k be y(-7). Suppose -k = 4*i + 3*p, -2*i = 2*i - 2*p - 10. Let n = 0.04 + 4.96. Sort n, 0.2, i.\nAnswer: 0.2, i, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 16*n - 9*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1311 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 25467132209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -3*a + 25, 5*f + 0*a - 4*a - 25 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjjjjjhjjjhhjjjhjjjj. What is prob of picking 1 h and 3 j?\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of 7*w**4\/12 - 115*w**3\/6 + 209*w**2. Let l be m(9). Let y(c) = 2*c**2 - 23*c + 13. Determine y(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-12)\/(-8)) + 122\/6. What is the third derivative of h*x**6 - 4*x**6 + 36*x**2 - 21*x**2 wrt x?\nAnswer: 2040*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5 - 2*p + 5 + 2 - 5 with respect to p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -0.1 (c) -3 (d) 2\/313\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2504+-17853337.4\nAnswer: -17855841.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3 - 1*-2) + 0. Let f(i) = -10*i**3 - i**2 + 1. Let p(l) = -15*l - 2. Calculate the remainder when p(-2) is divided by f(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2633 is divided by 80.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y - 4*x + 2285 = 0, 0 = -2*y + 2*x + 896. List the prime factors of y.\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1335892*b**6 - 2*b**4 + 26*b**3 - 57480003*b**2 + b + 2 wrt b.\nAnswer: -160307040*b**3 - 48*b + 156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**4\/12 - 7*a**3\/6 + 2*a**2 + 12*a. Let h be t(-8). Is -2*(-71)\/2 + h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(1\/30)*n*n*n*n**(-10)\/n*n)**37 assuming n is positive.\nAnswer: n**(-6623\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2644 - -29082\/11. Let p = 14 - 10. Which is the fourth smallest value? (a) p (b) -2\/5 (c) q (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40 and 259390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {e: 2, u: 8, f: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -5638.339 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*u**2 - u**3 - u**4 + u - 8*u**2 - 6*u**2 to d*u + v*u**3 + i*u**4 + f + b*u**2 and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 31\/24 + -7\/6. What is the third smallest value in 4\/7, -0.4, n?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -33 + 7?\nAnswer: -2b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -90003 divided by 8.\nAnswer: -90003\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -27793 + 27858 - (12 - (-1 + 0 + 3 - 0))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 136825*g**3 + 1526597*g**2 wrt g?\nAnswer: 820950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 4.06?\nAnswer: -20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 128333460334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1870700 to the nearest 10000.\nAnswer: 1870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 87923, 87820, 87663, 87458, 87211, 86928, 86615?\nAnswer: 86278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k - 1. Let c(w) = -2*w**2 + 4*w - 4. Let a(o) = -c(o) - 2*f(o). Is a(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2 + 2)*(-1 - k**3 + 1 + (6*k**2 - k**2 + 0*k**2)*(-2*k + k + 0*k) + 2*k**3 + 2*k**3 - 3*k**3).\nAnswer: -5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y**2 + 82*y + 391. Let v be u(29). What is the highest common factor of 30 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3333032602?\nAnswer: 2, 59, 401, 70439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 62240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 152 and 2.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one halves of a tonne?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82612, 165208, 247804, 330400, 412996, 495592?\nAnswer: 578188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/42 and -97\/4.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6040416*y**2 - 21*y - 6040315*y**2 + 21*y + 4*y**3.\nAnswer: 4*y**3 + 101*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 16357320?\nAnswer: 16357320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3 - (1 + 1475\/360) and -47\/20.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n + 2. Suppose -v - 74 = -4*m - m, 4*m = -3*v + 63. What is the remainder when m is divided by b(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -34?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/7)*h)**(2\/11) assuming h is positive.\nAnswer: h**(12\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -31 + 24 - (57\/(-6) + 1). Suppose a*u**4 - u + 0 + u**3 - 3\/2*u**2 = 0. Calculate u.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -42. Suppose r*i + 1 - 5 = 0. Let n be (2\/3 - 2)*-3. Put i, -3\/4, n in descending order.\nAnswer: n, i, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the second derivative of n**9\/68040 - n**8\/30240 - n**7\/5670 - 13*n**4\/4 - n. Let m(o) be the third derivative of l(o). Factor m(g).\nAnswer: 2*g**2*(g - 2)*(g + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/6 - (-20)\/6. What is the nearest to -2\/5 in -4\/7, -0.1, j?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 4000194.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 603*c**2. Let z(m) = 66*m. What is y(z(t))?\nAnswer: 2626668*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-1))\/(((-6)\/(-2))\/(-33))\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36053 = 234*c + 108*c + 3563. Solve 44*t - 25*t = c for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*v + 3 + 229*v**3 - 164*v - 167*v**3 + 1 - 4.\nAnswer: 62*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.84? (a) 3\/2 (b) 0.1 (c) 2\/7 (d) 0.5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 49848488?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - -50. Suppose n = 4*v + 4*f, -4*v - 4*f + 28 = -8*f. Find the second derivative of c - v*c**4 + 8*c**4 + 2*c wrt c.\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4056.0185 - -0.9815. Let g = w + -4056.9998057. Round g to 5 dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16829798*w**4 - 4928816*w wrt w.\nAnswer: -201957576*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-2) + (-21)\/(-4).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/((-5)\/2) - 2. Solve -3*b - 2*b + 6 = 4*s, 2*s + 3*b - 4 = f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(7\/6)\/(c*c**(-4)\/c))\/(c**(-2\/9)\/c)**(-6))**(1\/26) assuming c is positive.\nAnswer: c**(-1\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**7*k**0)\/(k\/(k*k\/(k\/(k*k**(-2\/7)))))**(1\/46) assuming k is positive.\nAnswer: k**(-1927\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174709.\nAnswer: 17, 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 - 5*a**3 - a - 19*a**2 + 3 + 18*a**2 - 3*a**3 + 8*a**3 to b + g*a**3 + f*a**2 + q*a**4 + n*a and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbttbbbib. What is prob of sequence tbb?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*-2 + sqrt(143))*6 - (sqrt(143) + 1*sqrt(143)*-1))\/(1*sqrt(396) - sqrt(396) - sqrt(176)*-1).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 6*p + 5. Let a be j(5). Suppose a = -3*d - 3*f + 21, -2*d + 3*f - f + 2 = 0. Solve -1 = d*r + 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0085843595431 - 6.2?\nAnswer: -6.1914156404569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 483 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-180)*3\/(-2))\/((-33)\/(-110)).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 - x**2 + x - 6. Let b = -124 + 124. What is c(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 11. Let u(d) = -15*d**2 + 139*d - 120. Let z be u(8). Calculate the highest common divisor of z and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + (sqrt(99) - (3*sqrt(99) + sqrt(99))) + sqrt(99))*3*6 + 0)**2.\nAnswer: 4618944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 5:49 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 41 + -39. Solve 3 + 1 = 2*y, 0 = 2*h - s*y + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**3 + 4*q**2 - 2*q - 2. Let h be x(3). Let o = 82 - h. Let z = -61\/2 + 30. Which is the smallest value? (a) z (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8 + 10 = 0. Let l be ((-2)\/n + 65\/225)*-8. Let m = 2\/15 + l. What is the smallest value in 1, m, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16281 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 1, 43, -1\/3, -3 in increasing order.\nAnswer: -3, -1\/3, -2\/7, 1, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 554 * -2.6\nAnswer: -1440.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**4\/54 - p**2\/9 - p + 3. Let t(q) be the first derivative of j(q). Let t(l) = 0. What is l?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, y: 1, e: 2}. Give prob of sequence oey.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1368, 1369, 1370, 1371, 1372, 1373?\n\"Answer: g + 1367","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -8*t**2 - 28*t. Let b(d) = -3*d. What is p(b(k))?\nAnswer: -72*k**2 + 84*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.0452 + -0.0548. What is the second biggest value in 4\/9, 2, 1, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 4*l**3 - 3*l**3 - 2*l - 2 + 3*l**2 + 0*l**2. Suppose -w = -4*w - 6. Calculate the remainder when g(w) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -23\/12, 105, -0.3, 1\/11?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14372323 to the nearest integer?\nAnswer: 3791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (54\/36)\/(3\/3386) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4977*b**2*y + 25*b**2 + b*y - 4769*b + 2*y + 24 wrt b.\nAnswer: 9954*y + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a. Let f(u) = -7*u**2 - 23*u - 1816. Calculate q(f(r)).\nAnswer: -21*r**2 - 69*r - 5448","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -8. Let w = h - -7. Let x be (21 - 14) + (-14 - -3). Which is the smallest value? (a) 0.5 (b) w (c) -3 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 40775196?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a - 4*a + 1085*a**3 - 3*a + 10*a**3.\nAnswer: 1095*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -419*u**5 - 2*u**2 - 186 wrt u.\nAnswer: -25140*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 238 and 15792.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x\/(x**2*x))\/x))\/x**(-7\/2)*x\/((x\/(x\/x**(-8\/13)))\/x)*(x\/(x\/x**(-24))*x)\/x)**(2\/87) assuming x is positive.\nAnswer: x**(-361\/1131)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 19*c - 320 = 3*w, c = 3*w + 322. Which is bigger: w or -108?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**2\/2 - 15*u + 15. Let p be a(18). Solve -d = -p*l + 12, 2*d + 2*l = -0*l for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120*j**3 - 66*j**3 - 57*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.974 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -7. Is (1 - 34\/o)*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 144*d + 12531. Give y(-88).\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 4:44 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3776 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -2*x + 4, -8*x = -9*x - 4*a + 17. Suppose -2175 = -x*f - 4*v, 2*f - v = -2*f + 1719. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34281 = 143*r + 34138 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.172 + -2.170103. What is m rounded to four dps?\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -28375*p**3\/3 + 5*p. Let z = 17 - 13. Let w be x(z). Round w to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 180452 = -41*u + 179878 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: c766 (base 14) to base 7\nAnswer: 202156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 7669 = 3*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 67595 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*s + 25*s = 15, -27 = -5*q - s. Solve -n + q - 2 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p + 16. Let c be o(0). Let u = -1037 - -1031. Calculate the common denominator of 18\/7 and (u\/22)\/(2\/c*6).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -675, 25, -1.2, -2\/11, 0.02?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 12:37 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -101*h**4*m - 2*h**3 + 224*h*m wrt h.\nAnswer: -1212*h**2*m - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29464479?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.2 times -3.4?\nAnswer: -153.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 801 is divided by 409.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -16\/3 in -1\/3, -10, -3, 1\/2, 0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * 0.198.\nAnswer: -0.0594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000000005773 rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-126)\/4)\/7*(-20)\/(-15). Find the common denominator of 12\/7 and (-120)\/1224*((-4)\/g + 0).\nAnswer: 1071","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 3 u when four letters picked without replacement from uuluululvvv?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8.83 + -8.93. Let k = 15.01 - 15. Let i = k - -3.99. Which is the biggest value? (a) o (b) -5 (c) i (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 r, and 1 p when three letters picked without replacement from trpzpurluplupuu?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/42*(6273\/(-82) - -72).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 + 3*a - 2. Let d be i(2). Suppose -4 = -4*x + d. Let y(s) = s**2 - 5*s + 5. Let t be y(x). Sort 3, t, -4.\nAnswer: -4, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilometer in centimeters?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0143841115 rounded to 6 dps?\nAnswer: 0.014384","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + 2*a**2 - a + 5. Let o be c(2). Suppose -o*x - 2*m + 50 = 0, -3*x = -5*x - 5*m + 15. What is the highest common factor of x and 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 543*z - 72012 = -599*z - 50*z - 1684 for z.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -105258389\/3 or -35086130?\nAnswer: -105258389\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -8 - 4761*l**4 + 2539*l**2 - 2321*l**2 + 4393*l**2 + 116 + 1548*l - 7590*l**3 = 0?\nAnswer: -2, -3\/23, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40\/77 + 14\/33. Which is the smallest value? (a) -8\/7 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 634 + -629. Solve 0 = -7*g - y - 1 - 0, -w*g - 3*y = 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*(d**(-3\/13)\/d)\/d*d*d*d**(5\/3))\/(d*d\/d**(-2\/13)*d)**36)**(-9) assuming d is positive.\nAnswer: d**(12999\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*((-126)\/(-4) + 2). Let o = -64 - z. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4089 - 4087. Solve 15 = -3*n, 22 = 52*g - 55*g - l*n for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -265 + 181. Let u = -1992142221 - -1992142304.9999683. Let i = u + g. Round i to 6 decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 65*s + 196. Let l(w) = 11*w + 49. Give -9*l(k) + 2*z(k).\nAnswer: 31*k - 49","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.2, -2\/9, -3\/202 in decreasing order.\nAnswer: 4, 0.2, -3\/202, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 7*a - 8*u + 119 = -112 + 43, 2*u - 6*u + 4 = 0 for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g + 6. Let r be s(-6). Let t = 20 - 15. Let z(c) = -c**3 - 5*c**2 + 4*c - 8. Let j be z(-6). Solve y - o = -r*y, -t = -j*y - o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4\/33, 2\/3, 3, 12, -1\/2, -9?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/7))**(-5)*x**(-9)*x**(-8))**(-24) assuming x is positive.\nAnswer: x**(3096\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -437*g**2 + 6. Let p(j) = 1311*j**2 - 20. What is -2*p(a) - 7*u(a)?\nAnswer: 437*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 459 and 8667?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 24\/5855?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 486 and 25920?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.04 + 13.04. Let c = -33 + q. Let h = -20.00065 - c. What is h rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9\/18)\/(14\/(-4))*-35. Let d(z) = -2*z + 2. Let m(k) = -k + 3. Let n(x) = -6*d(x) + 5*m(x). What is the units digit of n(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 544758899?\nAnswer: 19, 28671521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiitiiiiiiiiii. What is prob of sequence ti?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 33840 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 8:13 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7\/t**(8\/3)*(t*t**(-3))**5 assuming t is positive.\nAnswer: t**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 605437*k**3 + 27*k - 1328?\nAnswer: 3632622*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + -45?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1901\/7 - -271. Put -0.2, 0.3, j in ascending order.\nAnswer: j, -0.2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*c - 3179*c**3 + 5387*c**3 - 2874*c**3.\nAnswer: -666*c**3 - 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2512 + -17580\/7. Let y(h) = 2*h**2 - 4*h + 2. Let u be y(2). Determine j so that -b - 2\/7*j + 2\/7*j**u = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.9067551 rounded to 2 decimal places?\nAnswer: 17.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:14 PM?\nAnswer: 10:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 153 - 9179\/60. Let r(t) be the third derivative of t**2 + 1\/60*t**5 + 0*t**4 + k*t**6 + 0*t**3 + 0*t + 0. Find the third derivative of r(n) wrt n.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*z + 75 + 33 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-20)*(-168)\/(-42). Let g = -0.56 + 1.56. Which is the third biggest value? (a) 4 (b) g (c) y (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 737 (base 10) in base 4?\nAnswer: 23201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 62*r - 165. Let z(q) = -56*q + 165. Give 8*y(n) + 9*z(n).\nAnswer: -8*n + 165","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 13*w**2 - 36*w + 6. Let i be p(-9). Which is the second smallest value? (a) 3\/2 (b) i (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fifz when four letters picked without replacement from rvzzfzizirzfiiir.\nAnswer: 5\/4368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1689*z**3 + 75*z**2 + 83*z**2 - 1831*z**3 wrt z.\nAnswer: -852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6149390 is divided by 115?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 35 = -p, 100 = 5*z - 2*p + 7*p. What is the tens digit of -3 + z + (-2 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*i - 83*v - 26 = -79*v, 5*i = 5*v + 10 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-16)*v)\/(v**(-2\/23)\/v)*v**(-3)*v\/v**(7\/3) assuming v is positive.\nAnswer: v**(-1259\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121412.\nAnswer: 2, 127, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/5 + 6*h + 32\/5.\nAnswer: -2*(h - 16)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 0)*((1 + 2 - 8)*(2*x + x - 4*x) + (1 - 3 + 1)*(6*x - 3*x - x))*(7 - 7 - 9*x) in the form g + o*x**2 + j*x and give o.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/48 and 35\/701684.\nAnswer: 8420208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-13 + 15)*(2 - (-20)\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.78 and -0.3?\nAnswer: 0.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 52*v**2 - 73*v - 294. What are the prime factors of g(47)?\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 + 23*y**2 - 24*y + 36. Is x(20) a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -137*n - 3147. Give y(-23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 33\/5 of a day?\nAnswer: 9504","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10746 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a. Let f(u) = -5*u**2 - 11. Determine y(f(p)).\nAnswer: -5*p**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 4*o**2 + 6*o - 9. Let r be d(5). Let u be (-3)\/((-9)\/r)*759\/(-11). Let g = u - 60. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2771468*a**5 + 5907197*a.\nAnswer: -55429360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, h: 6, i: 2, a: 2}. Give prob of picking 1 i and 1 t.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/(-7) - 10\/35. Solve -5*i + 3*t = 3, 2*t = 4*i - l + 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60 + -58. What is h in 0*h**2 - o*h**2 - 2*h + 0*h**2 + 0*h = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 927 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1\/4186 - 8007\/4186. What is the common denominator of s and (441\/(-6))\/(-7) + -2?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-one eighths of a tonne?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**5\/60 + 3*n**4\/8 + 17*n**3\/6 + 23*n**2. Let q be m(-7). Suppose -4*j + 42 = -3*h, 53 = -h + 55. Solve q*w = 7*w - j for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3974*u - 1323*u - 1329*u - 1319*u.\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i**3 - 7*i**2 + 3*i + 18. Determine z(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -13*k**2 + 4*k - 4. Suppose 32 + 7 = 155*h - 116. What is o(h)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43 + 22 + -51 + (-13 - 98).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5971 to the power of 1\/2, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 109*r = -2944. What is the remainder when 87 is divided by r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-1 - 7) - (-3 + -5 + -2)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*y + 130 + 107*y - 130.\nAnswer: 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5*n - 15, 5*v = -n + 6*n - 15. Let f(o) be the first derivative of 2\/3*o**3 + 1 + v*o + 0*o**2. Let g(s) = s. Determine g(f(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 1575*z - 55417. Calculate f(-36).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14.3 - -5.7. Let h = 20.8 - r. Let u = h + -6.8. Which is the third smallest value? (a) u (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57040.\nAnswer: 2, 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*((-1*sqrt(33))\/sqrt(11))**2 - (sqrt(33)\/(-3*sqrt(11)) + sqrt(18)\/(sqrt(24)\/sqrt(4))).\nAnswer: -16 - 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xexyxxjii. What is prob of picking 2 x and 1 j?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 232100 (base 5) to base 2\nAnswer: 10000011010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34270 and 369587.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or -73737?\nAnswer: -73737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15839 - -8602. Let l = a + 16124. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98, 96, 94, 92, 90, 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-9))\/((-4)\/24). Let h = -65 + 64. Which is the fourth biggest value? (a) -2\/25 (b) g (c) h (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 249*z**2 - 48*z - 110. Is s(51) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5500 divided by 55\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -8*v + 354. Suppose -v*d + 55*d = 459. Does 11 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 14) to base 5.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 0*y + 8 = 0. Find the third derivative of u**5 + 4*u**4 + 5*u**4 - 9*u**y - 4*u**2 wrt u.\nAnswer: 60*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71153299 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -185*c + 59*c - 1890 for c.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27603929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0538645233 to four dps.\nAnswer: -0.0539","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -224 (c) -13267 (d) 5 (e) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1631*t. Let w(y) = 2*y**2. Calculate l(w(o)).\nAnswer: -3262*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)*j*j*j**18)\/(j*j*j**(-9\/2)\/j*j**(-1\/18)))**(4\/11) assuming j is positive.\nAnswer: j**(812\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11788 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-27) + 8\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 take away 10635?\nAnswer: -10573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*a = -63*a + 243 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 28896*i - 25871 wrt i?\nAnswer: 28896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 657714649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 2*k - 1. Let n be v(1). Let l(r) = r**2 - 2. Let o be l(n). Does 8 divide o + (1 - (-28 + -1))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -78*x**2. Let v(h) be the third derivative of 3*h**5\/20 - 304*h**2. What is v(s(w))?\nAnswer: 54756*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*31995\/10 + -9 + 6 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**3 + d**2 + 2*d + 2. Let o be t(-1). Let h(q) = -q + 1 + 17*q - 18*q + 1. What is h(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 446*w**2 + 993*w - 46626. Determine q(444).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 + j - 126. Let q be s(0). Suppose -2*v - 78*o + 82*o - 136 = 0, -410 = 5*v + 4*o. Let u = v - q. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u + 22. What is i(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07033 - -0.04967. Sort -4, -2\/3, -1\/6, f in decreasing order.\nAnswer: f, -1\/6, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -8*a - 2. What is h(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106674 is divided by 404.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**5\/5 + 61*m**4 + 2373*m**3\/5 - 913*m**2\/5 - 6518*m\/5 + 4752\/5 = 0.\nAnswer: -297, -8, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 128062564?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -56*l + 397. Let u be g(7). Solve -4*x - 2*o = 12, x + u*o = -2*x - 2 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/655, -17225, 1 in ascending order.\nAnswer: -17225, 1\/655, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 94 - 214.\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3618 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 5*q**3.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b + 3. Let r be y(-7). Let p be 4 - 3 - 3\/(6\/r). Calculate the greatest common divisor of p and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -959 + 2 = -11*z. What is the remainder when z is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 1\/5 (b) 0.1321 (c) 3 (d) 0.5 (e) -19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y**(-2)))\/(y*(y\/y**10)\/y*y)*(y*(y**5\/y)\/y)\/y*y\/(y\/y**(-5)) assuming y is positive.\nAnswer: y**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64292 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 61\/(-1403)*3956\/(-16942).\nAnswer: 2\/197","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 203 + 3?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 744a05 (base 11) to base 8\nAnswer: 4431014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-8)*1842432\/(-288). Suppose 27376 = 2*q - l. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 151856270?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, h: 4}. Give prob of sequence gg.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 2*m**3 - 77*m**2 + 686*m - 295. Give b(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -91*c**2 - 3*c - 112. Let t(n) = 181*n**2 + 5*n + 223. Let o(w) = 5*s(w) + 3*t(w). What is the first derivative of o(v) wrt v?\nAnswer: 176*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12227549.2 to the nearest one hundred.\nAnswer: -12227500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**2*m**2 - 27*b**2 - b*m**2 - 1028*m**2 - 161 wrt m.\nAnswer: -6*b**2*m - 2*b*m - 2056*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 4*n**3 - 173*n**2 - 207*n + 3247. What is d(44)?\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(13\/((-1287)\/66))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(80)\/sqrt(8)) - (sqrt(52)\/sqrt(4) + sqrt(13) + -1))**2.\nAnswer: -2*sqrt(13) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 4 (c) 96 (d) -12\/5 (e) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11758.\nAnswer: 2, 5879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.3 + -4.8. Let c = 85\/2 - 44. What is the closest to -2 in -1\/3, c, s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.902890135 rounded to one decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19 and 209?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1461, 1482, 1525, 1590, 1677?\n\"Answer: 11*i**2 - 12*i + 1462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 5915*x**2 - 5 + 9 - 28 + 24 as k*x + p*x**2 + l and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1230 + -110003?\nAnswer: -102113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(6300))\/(sqrt(49)\/sqrt(112) - sqrt(7)))\/((5*sqrt(180)\/sqrt(5))\/(sqrt(108)*-2)).\nAnswer: 32*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -94, -478, -1120, -2020, -3178?\n\"Answer: -129*j**2 + 3*j + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -532*d = -3264 - 4988 - 38032. Solve -10*i - 17 = -d for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 8964 = -2*c, 4*q = -2*c - 6285 - 885. Is q smaller than -1794?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - p**2 + p - 3. Let y(x) = -x**3 + 14*x**2 - 15*x - 14. Let q(g) = -2*h(g) - y(g). Calculate the remainder when 53 is divided by q(-13).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -13*s**3 - 23*s**2 + 6*s + 13. Let f(o) = 5*o**3 + 8*o**2 - 2*o - 5. Let p(l) = -8*f(l) - 3*m(l). Give p(3).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dsk when three letters picked without replacement from {s: 1, d: 3, k: 4, h: 1, g: 2}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2 = 10. Suppose 4*w - 4*j + c = 0, -7*j = -5*w - 3*j. Let h = 86 + -83. Solve -p = -w*r - 23, -h*r - p - 4 - 8 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**4 + l + l**3 - l + 10*l**2 + l + 0*l + 3*l**2 to the form y*l + r + i*l**2 + g*l**3 + k*l**4 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 10:53 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -708*y. Let p be w(-2). Suppose -12*d + 2076 = -p. Calculate the smallest common multiple of d and 30.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7525*b + 13555*b + 23029*b.\nAnswer: 29059*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/2)\/1*2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3580 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: Suppose 5*y - 2*q = 3*q - 40, -2*y - 51 = 5*q. Is (-5367)\/y - (-14)\/91 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l - 10 = 8*l + 2*s, s + 7 = l. Suppose l*p + 48 = 2*f - 8, 4*p + 5*f = -70. Sort 6, p, -5 in ascending order.\nAnswer: p, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 43*i + 41. Let q be b(-2). Let c be (-42)\/q + -1*7\/21. Sort 14, c, -1\/5.\nAnswer: -1\/5, c, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3783714624.7 + -0.02?\nAnswer: -3783714624.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -46 or -92\/27299?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -522144 from 674.\nAnswer: 522818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 732271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/11 or 2?\nAnswer: 9\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 159 - 59. Let c = -75 + a. Suppose 2*p - c = -w + 214, 3*p - 356 = -2*w. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2800\/45)\/10 + 4\/(-18). Factor -y*r**2 - 6*r**2 + 2*r**2 + 0 + 5 - 5*r.\nAnswer: -5*(r + 1)*(2*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4443 (base 8) to base 5.\nAnswer: 33324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -105.446 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 - 6*z**2 - 5*z + 38. What are the prime factors of y(7)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 7, z: 5, m: 7}. What is prob of picking 2 m?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3 - 12. Suppose 5*n + 3*l = -199515, -v*n + 10521 = 2*l + 130231. What is n rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4510455 by 3865.\nAnswer: 1167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*(-1)\/2 - (-4672)\/(-1460)?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 197 and 19700.\nAnswer: 19700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.12532 hours to milliseconds.\nAnswer: 180451152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*a - 557 - 475 = -79*a for a.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 45 and 1525.\nAnswer: 13725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.8 + 2. Let d = 1.15 + 0.15. Let x = s + d. Which is the closest to -1? (a) 1 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30742 - 8230. Is u a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 31739 - -6e?\nAnswer: 317a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54352581 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 - 17 - 16)*((2*h - 2*h - 2*h)*(-2*h - 1 + 1) + 4*h - 4*h - 3*h**2 - 3*h + 3*h + 2*h**2).\nAnswer: 18*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 254990081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2*(3\/3 - -3) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -2*g. Let z(s) be the first derivative of 2 - s + 1\/3*s**4 + 0*s**2 + 0*s**3. Let o(i) be the first derivative of z(i). What is o(x(p))?\nAnswer: 16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1373 + -0.631219963\nAnswer: 1372.368780037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 69\/2 of a litre?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2348.37733 to zero decimal places.\nAnswer: 2348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-159 - -162)\/((-3)\/7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 6:35 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - (-2 - 2) - 2. Suppose 3*m - u = g, -m + 34 = 2*m + 5*u. Let l be ((4 - 2) + -3)\/(-3). Which is the closest to l? (a) m (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -2*z**5\/65 + 17*z**4\/13 - 698*z**3\/39 + 1020*z**2\/13 - 1800*z\/13 - 3250. Let j(l) = 0. Calculate l.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + 75\/12 + -3. Let a = -81.5 - -81.6. What is the closest to a in 1.1, v, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -14.65. Let s = z - -0.05. Let q = s - -5. Which is the second smallest value? (a) -0.3 (b) q (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1802, -3571, -5340, -7109, -8878?\nAnswer: -10647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2889 + -2894. Which is the nearest to i? (a) -0.013 (b) -0.1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (2 + 8 + -4 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, r: 2, z: 1, k: 6}. What is prob of picking 3 k and 1 r?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*k - 2*k - 1143. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 6, -2, 6, 42?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, p: 18}. Give prob of picking 3 p and 1 v.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.4 - -62.66. Let z = w + -65. What is the nearest to -0.1 in z, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 9:27 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 5 = 11. Let z(x) be the first derivative of -x**3 + 0*x**t + 0*x + 0*x**4 - 1\/5*x**5 + 3. What is the third derivative of z(h) wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 520 and 445?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28032 + -17836. What are the prime factors of t?\nAnswer: 2, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5*s = -14, -5*s - 6 = -2*a + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -2\/9 (b) 0.1 (c) -130 (d) -0.4 (e) -6\/37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3754376 (base 8) to base 16.\nAnswer: -fd8fe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.076 - -0.666. Let v = -0.19 + s. What is the nearest to 0.1 in v, 1\/4, 2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1406910 and 3680?\nAnswer: 22510560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(32)*-5.\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9628\/9 or 1070?\nAnswer: 1070","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 456 - 451. Suppose -112 = 3*g - h*g + 5*t, 2*g = 4*t + 110. Solve 57 = 2*m + g for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of k**4\/4 + k**3\/3 - 13. Determine z, given that l(z) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 402*g**3 + 5668598*g**2 - 56404*g.\nAnswer: 2*g*(g + 14101)*(201*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108543 is divided by 21700.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 0*c + 60. Let r = -6 + c. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 + -5. Suppose -3*z = z + h. Calculate the remainder when z\/(2\/52*-2) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -594 = -36*h - 450 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -654*q + 638*q = -96. Solve -k = -q*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + 10*j**2 + 9*j + 9. Let v be b(-8). Suppose 0 = -3*r - l + 54, -5*r - 2*l + 26 = -v. Calculate the remainder when r is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5482*o = 5285*o - 7092 for o.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 47, 181, 413, 749, 1195, 1757, 2441, 3253?\n\"Answer: c**3 + 43*c**2 - 2*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**4 + 24611388*q**3 - 812173626*q**2 + 8933901900*q - 32757625659.\nAnswer: -3*(q - 8203763)*(q - 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 6*z + 3*q - 3, 2 = -4*z + 2*q. Suppose 2*r - 3 - 9 = z. Suppose -275 = p - r*p. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23\/2 + -11. Factor 0*b**2 + m*b**3 + 0*b + 0 + 1\/2*b**4.\nAnswer: b**3*(b + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.3 + -2. Let l(y) = y**3 + 71*y**2 - 300*y + 1. Let k be l(-75). What is the closest to 0.01 in k, q, -0.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1862457 less than -0.4?\nAnswer: 1862456.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.34, -15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s - 2 + 3*s - 3*s. List the prime factors of m(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 683*l = 686*l + 12, -2*k + 4*l + 79 = 13 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqi when four letters picked without replacement from qciqi?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 9 = 2*i, 0 = 5*s - 16*i + 17*i - 45. Solve -3*h + 19 = -b, 4*b - 5*b - s = -h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2077 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 x, and 1 y when three letters picked without replacement from {n: 3, y: 4, x: 2, w: 6}?\nAnswer: 48\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -842410, -842509, -842608, -842707, -842806, -842905?\nAnswer: -843004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 15*d = -12. Suppose d*g - 23 = -2. Calculate the highest common factor of 2 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21968 is divided by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -59*y + 1. Let f be j(-1). Calculate the highest common factor of f and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 11*u - 12. Let y be x(6). Let l be 4\/6*y\/(-66). Which is the biggest value? (a) -4 (b) 7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 707952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - c - 475, 0 = 4*x + 2*c - 485 - 485. Let n = x - 166. List the prime factors of n.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 12, q: 6}. Give prob of sequence qnnn.\nAnswer: 11\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 divided by 7860?\nAnswer: 59\/1310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28701.\nAnswer: 3, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 + 12*r - 41. Let y be m(-15). Suppose 0 = 3*f + h - 15, y*h - 3*h + 20 = 4*f. Solve s - f*w + 13 = 0, 2*s = -3*s + w + 7 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o**2\/4 + 654*o - 95235\/4 = 0. Calculate o.\nAnswer: -907, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 4*g - 1. Give x(4).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -6*x + 132. Let j be a(19). Solve 0 = -u + 7*u - j for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (28\/(-84))\/(1\/(-507)) is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, q: 3, e: 1, k: 5, d: 1, u: 1}. Give prob of picking 1 d and 1 e.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 151 = -5*z, -3*o + 78 = 4*z - z. Calculate the remainder when 113 is divided by z.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**3 - 46*r**2 + 249*r - 306 = 0. What is r?\nAnswer: -51, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (-260)\/45 + (-112)\/18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 637962, 1275932, 1913916, 2551920, 3189950?\n\"Answer: c**3 + c**2 + 637960*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**4\/4 + 5*y**3\/3 + 3*y**2 + 2*y + 3. Let f be d(6). Find the second derivative of 6*a + 6*a - 8*a - 3*a**f wrt a.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of 7*q**4\/12 - q**3\/6 - 2*q**2 - 2*q + 333. Let x(h) = -13*h**2 + 2*h + 7. Calculate -7*u(r) - 4*x(r).\nAnswer: 3*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*m - 1\/4 - 1\/4*m**2.\nAnswer: -(m - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.4 - 0.1. Let h be (1\/5)\/1*(2 - 36\/27). What is the third smallest value in 2\/9, t, 10, h?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(96)\/sqrt(3)*5 + (-2 + sqrt(2)*-2)*1 + 4.\nAnswer: 1 + 18*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 25 = -5*h, -3*h + 23 = 5*r - 2. Let m be 6 - (28\/98 + (-19)\/(-7)). Solve -5*q + r*f - 10 = m*f, 0 = 4*q + f + 21 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18124108 divided by 1066124?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3*z + 7*s**3 + 2975*s**2*w*z + 56*s*w - s*z - 553*w - 4*z wrt s?\nAnswer: 6*s*z + 42*s + 5950*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1*2\/(-20) + 1010\/100. Let m(h) = -h**3 + 12*h**2 - h - 43. What are the prime factors of m(x)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -73568 (base 11) to base 6\nAnswer: -2144035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 10:42 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(2\/(-6)*-3). Is q\/4 + (2817\/(-2))\/(-9) a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k**4 - 260*k + 665?\nAnswer: -8*k**3 - 260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 925, 920, 915, 910, 905, 900?\n\"Answer: -5*a + 930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**5 + 2*c**4 + c**3 + c. Let k(y) = 39*y**4 - 114*y**3 + 135*y**2 + 3*y. Suppose 0 = -4*f + 7 - 19. Let t(x) = f*w(x) + k(x). Solve t(v) = 0 for v.\nAnswer: 0, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 10:39 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13\/((-468)\/(-27)))\/(3171\/(-13741))?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f = 3*f + 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/(-4))\/((-12)\/(-16)))\/(2\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (((sqrt(1944)*-1 + sqrt(1944))\/(sqrt(128)*-1))**2 + -4)*3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -42 - -42. Let l be -4 + 5 - -1 - r. Suppose -2*c = -l*o + 22, -2*o + 5*c + 35 = o. What is the least common multiple of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 - 2*s**2 + 3*s + 3. Let b(u) = -1 - 1 + 3*u**2 - 30*u - 2*u**3 + 1 - 3 + 26*u. Determine 2*b(x) + 3*w(x).\nAnswer: 2*x**3 + x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, b: 4}. What is prob of picking 1 b and 1 m?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -786201.51 to the nearest 1000.\nAnswer: -786000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/8 + -12*(-1)\/16. Let k be 0 + (-3 - (-10*x - -3)). Solve -k = -c - 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7161697 - 3702.\nAnswer: 7157995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, g: 3, x: 2}. What is prob of sequence gxx?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 4)*3\/6. Let g = 5.018 + -0.018. What is the closest to f in g, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 106729 and 0.0545.\nAnswer: 106729.0545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 1\/3, -319\/7, -3, 0.3 in increasing order.\nAnswer: -319\/7, -3, 0.3, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.7 * 0.2.\nAnswer: -0.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25340 and 751689380?\nAnswer: 3620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*m + 225 - 31, -m + 70 = 3*i. Let l = 122 + m. Does 47 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 7395?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11306902\/9 at most 1256322?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -403 (base 7) to base 14.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0402633 rounded to three dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p + 2*p = -4*f - 82, 4*f = -p - 70. Does 30 divide (-4)\/6 - 1722\/f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8388920 and 282420?\nAnswer: 226500840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 557870 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 5:56 AM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 9*a**2 + 9*a + 10. Let h be p(-8). Let m(b) = -6*b - 2. What is m(h)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*h + 12. Let x be h\/(8\/116*1). Let m be x - 2 - 3\/1. Calculate the greatest common factor of 72 and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 3*h + 3. Let m = 97 + -53. Let v = -36 + m. Calculate the remainder when v is divided by d(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0903 rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.4 + 64.4. Let i = -52 + z. Put i, 0.2, -0.4, -1 in decreasing order.\nAnswer: 0.2, i, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/20 and 91\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1752 divided by 358.\nAnswer: -876\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, o: 7, r: 1}. Give prob of sequence or.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*q - 345*q + 36*q - 751*q as y*q + v and give y.\nAnswer: -1171","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 2*t**3 - 4*t**2 - 12*t - 9. What is the remainder when i(5) is divided by 25?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1377) + sqrt(1377) + -2)**2 - 3*sqrt(833))*3.\nAnswer: -279*sqrt(17) + 16536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 117?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294, -768, -1242?\nAnswer: -1716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13228 + -13225. What is the third biggest value in j, -1035, 4?\nAnswer: -1035","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.949 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1580 is divided by 240.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -4 - -31 - (21 - (-29 + 47))\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4 + 421. Let v = 161 - g. Factor 37*y - 7*y + 8*y**2 + v - 3*y**2 + 23.\nAnswer: 5*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -3\/8, -1\/3, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*h + 4*h**2 + 6*h)*(5*h - h - 6*h + (1 - 2 + 3)*(2*h + 0*h + 0*h)).\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = f + 44. Let m = -190 + 191. Calculate the highest common divisor of f and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-5)\/(-10))\/((-1 + -1)\/4). Let t be -5*(-2 + 2 - n). Is t\/(-4 - -9) + 908 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58362?\nAnswer: 2, 3, 71, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(38)*6)\/sqrt(2)*3.\nAnswer: -36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*b + b - 20. Let w be ((-6)\/b)\/((-6)\/(-8)). Suppose -3*s + j = -25, w*j + 19 - 59 = -3*s. What is the greatest common factor of 10 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50\/8537 + 1501123\/4609980. What is the common denominator of 7\/1380 and b?\nAnswer: 12420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 5693159611?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.732516?\nAnswer: 3.66258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -33. Let d be ((-6)\/q)\/(6\/8). Solve 0*a - 8 = d*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/416 and 41\/68692.\nAnswer: 549536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (7 - 32\/4) + 18 is divided by 2\/(-4) + 39\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/27632 and -2\/695 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -134442208 - 569.\nAnswer: -134442777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3711*o + 40603 = 1574*o for o.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2330631*r. Let n(c) = -12*c**2. Calculate i(n(o)).\nAnswer: -27967572*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 2 - 124*r**2 + 265*r**2 + 466*r**2.\nAnswer: 607*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -93, -1274, 0.5 in ascending order.\nAnswer: -1274, -93, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65) + sqrt(65) + (sqrt(65) + sqrt(65) + sqrt(65) + -2*sqrt(65) + sqrt(65) + sqrt(65) - sqrt(65)))\/sqrt(5))**2 + (1 + sqrt(13))**2 + 4.\nAnswer: 2*sqrt(13) + 226","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12584921\/1124912 - 2\/70307. Let q be (-4 + 247\/64)\/(1\/(-4)). Let v = i - q. Calculate the common denominator of v and -1\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -9.5. Let a = 1.2 + -1.4. What is the nearest to a in 6\/5, -1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 - -218)\/6 - 47.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1649\/288 + 107\/18. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 913 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6808*z + 936 = 6880*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1017 - -67ba?\nAnswer: 7815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/60)\/(2\/(-2)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -3*n - s + 2, 3*s + 8 = 2*n. Suppose r - 2 = -0*r. What is the smallest value in n, -4, r?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -323 - -323. Solve o = -4*z - 3*m, m = 3*z - 7*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-1) + (-1)\/1. Suppose 3*q + o + 5 = 0. Sort q, 2, 5 in ascending order.\nAnswer: q, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 + 5*g + 3. Let y be l(3). Let v = 57 - y. Let m(d) = 18 + 1 - d - v + d**2. Determine m(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*t + 1605 = 55*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -14\/452689 and 69\/1810756?\nAnswer: 1810756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 - 5831*k - 175480. Calculate w(-30).\nAnswer: 350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-58)\/(-58) + (-6)\/(-150)*(-90)\/4. Let a be (1\/5)\/((-16)\/(-20)). What is the second biggest value in -4, v, a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1758.64 - -461883\nAnswer: 460124.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 9*y**2 + 7*y + 16. Suppose 10*q - 61 = -21. Suppose -o = 12 - q. What is the smallest common multiple of 8 and x(o)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i - 10*i - 1 - 7*i. Is t(-5) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - 18\/4 - 2\/4. Let m(d) = -d**4 + 8*d**3 - 4*d + 3. Let h(r) = 6*r**4 - 57*r**3 + 27*r - 21. Let j(y) = w*h(y) - 15*m(y). Find v such that j(v) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5050.8 + 5051. What is the biggest value in 0, x, 95, -4, -0.05?\nAnswer: 95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 2, 376 in increasing order.\nAnswer: 0, 2, 4, 376","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z = -5*y + 10*y + 18, -5*y - 13 = 2*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 896 (b) -4\/3 (c) 1\/2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8431.\nAnswer: 8431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -227 (base 13) to base 12\nAnswer: -26b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1851\/5 + -371. Put t, -3, -0.2, 2\/15 in increasing order.\nAnswer: -3, t, -0.2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -352 - -589. Let y(b) = -231 - 19*b + 468 - j. Let o(h) = h. Calculate o(y(t)).\nAnswer: -19*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1692 + 61. What are the prime factors of d?\nAnswer: 1753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 382430288?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 174 and 3567.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 2*c**2 + 2*c - 2. Let a be z(2). Suppose 5*m - a = 58. Suppose 5*f = 5*k - 15, f - 5*k + 7 = -m. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 87 = 3*j, -2*j + 45 = -2*l - 1. Suppose b + 22 = j. Let a(f) = f**2 + 13*f - 12. Let o be a(-14). Sort b, -5, 5, o in decreasing order.\nAnswer: 5, b, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(275)\/sqrt(5)*4) + (sqrt(330)*2)\/sqrt(6))\/(sqrt(891)*-2*-6 + sqrt(891)*2*3).\nAnswer: -sqrt(5)\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 35 - 4 - 12*a - 2. List the prime factors of d(-12).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3359785793 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/2 + 187\/(-22). Calculate the remainder when (-70)\/7*a\/6 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1800*a - 1418*a - 357*a + 2243*a + 2582*a as k + j*a and give j.\nAnswer: 4850","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Product of 0.57368 and -178.\nAnswer: -102.11504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w - 46. Let j be 5\/(10\/(-24)) + 4. Let p be k(j). Solve p*h = -6 - 2 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -28, -497, -1308, -2485, -4052, -6033, -8452?\n\"Answer: -4*f**3 - 147*f**2 + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 2*i + 3*i + 551, i + 5 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1100183217.\nAnswer: 3, 7, 41, 839, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 0, 1, 33 in decreasing order.\nAnswer: 33, 1, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 9. Suppose -x = v*x - 12. What is the tens digit of (-14)\/((x\/3)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15159205 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -16, 3.\nAnswer: -16, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*1*(sqrt(720)*-1 + sqrt(720))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -7*x**2. Suppose 48 = 5*i - 12. Let n(v) = -i + 2*v**2 + 12 - v**2. What is n(t(m))?\nAnswer: 49*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(117) - (sqrt(117) + sqrt(117) + (-2*sqrt(117) - sqrt(117)) + 5))**2.\nAnswer: -240*sqrt(13) + 1972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72544 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8894 - 8894.4. Which is the nearest to 0? (a) p (b) -0.3 (c) -4 (d) 55\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**2 - 15*l + 15. Let h(c) = -3*c**2 - 8*c + 8. Let k(i) = -7*h(i) + 4*j(i). Find b such that k(b) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 3*v + 12881, 74*o = 69*o - v + 32177. What are the prime factors of o?\nAnswer: 2, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-1 - -5 - (10 + -5)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-72))\/((-2)\/8). Let o be -1 + g + 81\/39. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1221 - -1225. Suppose 2*k + 3 = -k. Let d be (k - y)\/(15\/(-6)). Solve 2*h - 2*u + 2 = d*u, -4*h + 5*u - 7 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27283201 and 5203?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.4 + -939505?\nAnswer: -939495.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -2*n - 20, -s + 1 = 5*n + 19. Let f = 11 + s. Factor 2*j**4 + 4*j**f - 2*j**5 - 2 + 2.\nAnswer: -2*j**3*(j - 2)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 73 = 4*x, 0 = -4*j + 2*j - x + 118. Let m = j - 54. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-3))\/(207\/18). Let b = -133\/46 + j. What is the common denominator of -53\/15 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23360 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3 + 15*b**2 + 1200*b + 6080.\nAnswer: -5*(b - 19)*(b + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 443646.3 millennia in centuries?\nAnswer: 4436463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/44 + (-1)\/8*-2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 2)*(-4*j - 6 + 6 - 2*j - 1 + 1 + (-3 + 1 + 0)*(j + 0 + 0) - 2*j + 2*j + 2*j) to a + k*j and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 48*u**4\/11 + 5378*u**3\/11 - 10854*u**2\/11 - 15768*u\/11 - 4104\/11 = 0.\nAnswer: -114, -2\/3, -3\/8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 4*c**2 - 7*c - 2. Let l be r(-5). Let x(n) = -n + 10. Let g be x(l). Is (4\/22 + 94116\/121)\/g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24618 * 54.\nAnswer: -1329372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 3, 32, 0, 2, 1, 25.\nAnswer: 0, 1, 2, 3, 24, 25, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*z**3 + 342636301*z**2 - 78*z - 2179725 wrt z?\nAnswer: -18*z + 685272602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -128 (b) 1\/33 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -68*y - 1. Let i(x) = -x - 1. Let v(r) = -c(r) - i(r). Let w be ((-3)\/2)\/((-4)\/8 - 0). Is v(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**0)**29*(n**1\/n)**(-29)*n*n\/n**(-2\/3)*n**0*n\/n**6*n**(-4\/5) assuming n is positive.\nAnswer: n**(-47\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4217 times 109?\nAnswer: 459653","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 14 times -1.57\nAnswer: -21.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -102*c. Let s(y) = y. Give r(s(f)).\nAnswer: -102*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 21273062437 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -177393*f + 180279*f - 57720 for f.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 13, c: 2, u: 3}. Give prob of sequence uuu.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -3*a. Let z(k) = -10*k**2 + 4*k**2 + 5*k**2 + 3*k**2. Determine q(z(p)).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 - 21 + r + 3*r - 13*r - 15*r to the form l*r + w and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + x**2 - x + 6. Let j(s) = -12*s**3 + 13*s**2 + 9*s + 20. Give -3*a(p) + j(p).\nAnswer: -9*p**3 + 10*p**2 + 12*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 620 from 0.26.\nAnswer: -619.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27 + 111 - -5) + -83?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3309535695 to two decimal places.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-3150)\/2625*5\/(-74))\/((-3)\/2)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 - 492*p + 34913. Determine g(406).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**3 - 12*o**2 - 13*o + 4. Let i(k) = 2*k**3 + 6*k**2 + 6*k - 2. Let a(d) = 7*i(d) + 3*l(d). What is the smallest common multiple of a(6) and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1644.515529 + -1641.735. Let f = u - 2.78. Round f to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes after 9:15 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12886 and -8912.\nAnswer: -21798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l - 9. Let g be v(-30). Let p be (-12)\/g - (62\/14 + -8). Which is the nearest to 0.1? (a) 1 (b) 0.03 (c) p (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 83 - -11367311\nAnswer: 11367394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 16370117 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 3, 80886, 2, 4, -5 in ascending order.\nAnswer: -5, -1\/4, 2, 3, 4, 80886","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l - 15. What is h(23)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -23*v**3 + v**2. Let s be j(-1). Let q(b) = 6*b**3 + 141*b**2 + 386*b + 28. Let d be q(-20). What is the greatest common divisor of d and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 9 = 0, -3*x = u - 6*u - 27. Let i(d) = -d - 1. Let w be i(x). Let s(m) = -2*m. What is the smallest common multiple of 22 and s(w)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.6 and 1534.\nAnswer: 1534.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 17*u - 3. Let p be w(-1). Let o be 5*(-2 - 52\/p). Is (-6 - -2) + (o - -8) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -2*t**3 + 5*t**2 + 5. Suppose -4*q = -3*q + 1. Let v(u) = u**2 + 1. Determine q*y(p) + 5*v(p).\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-9))\/(20\/30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1910 divide 5649929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-4)*(-71)\/213.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 549*x - 2928. Let f(r) = -55*r + 288. Let l(t) = 61*f(t) + 6*u(t). Let z(b) be the first derivative of -b**3\/3 - 10. What is z(l(m))?\nAnswer: -3721*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of c**9\/7560 - c**8\/4200 + 2*c**3\/3 - 5. Let i(y) be the third derivative of g(y). Factor i(f).\nAnswer: 2*f**4*(f - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eefebzzeffazfaqfb. What is prob of sequence zbba?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, -132, -316, -574, -906, -1312, -1792?\nAnswer: -2346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07973 + 0.05183. Round t to 3 decimal places.\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -12 + c?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25 + 52*t**3 + 25 + (-2*t**2 + 0*t**2 + t**2)*(-3*t + 0*t + t) + 4*t - 4*t + 2*t**3.\nAnswer: 56*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -35*d + 2. Does 16 divide z(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 824 is divided by 373.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17)\/2*950\/((-24605)\/259).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-165 + 1835)\/(1 + 1\/(-2)). Suppose -3*c = -2*p - r, 0 = -3*c + 4*p - 0*p + 3338. What are the prime factors of c?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 12:43 PM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4\/3 (b) -2 (c) 0 (d) -1 (e) 1\/29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 w when three letters picked without replacement from weewww.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 57\/19 + (-3 - 1 - (78 - -23)*1)\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -10 - -19 - (49 + -39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1 + -2)*2 - -86. Let z(h) be the second derivative of h**5\/20 - 5*h**4\/12 - 2*h**2 + h. Let j be z(6). What is the highest common divisor of q and j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 31 + -19. Calculate the highest common factor of x and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 92867?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + w. Suppose -5*l + w + 5 = 0. Suppose 0 = 3*a + 2*d - 13, -5*a - d + 20 = 2*d. Calculate the remainder when l is divided by a.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbblbb. What is prob of sequence bbb?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-360)\/189 - 2\/21.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1823.\nAnswer: 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 32719579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**3\/3 - 92*o**2\/3 + 23985*o - 166278 = 0. What is o?\nAnswer: -321, 7, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1613604 divided by -12.\nAnswer: -134467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + -293?\nAnswer: -296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.16 + 22.36. Let f = 0.2 - a. Let b = 26 + f. What is the smallest value in b, -20, -0.2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 10*h**2 - 48*h - 592. Does 82 divide y(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5664 is divided by 1883?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 11:24 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*l + 7*l - 4*l - 20*l + 3*l.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85478835 to the nearest integer?\nAnswer: 9245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t + 2*t - 8. What is the units digit of t\/2 - (-15 - -2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/((-120)\/(-65)))\/((3\/(-12))\/(-1)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.085 - -21.\nAnswer: 20.915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 90*g - 2. Give m(-3).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33.24 * 1015.\nAnswer: -33738.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -45895.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -123\/20 and 73\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 25033483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 325102461?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 835 divide 421671246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0 + (0 + 8 + 0)*(3 + 3 - 5))*(h + h - h) + 2*h + 2*h + 0*h.\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 293169.00046 - 293165. Let q = -7 + 11. Let z = q - a. Round z to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zfcfzffcf. What is prob of picking 3 f?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5\/2 (b) 507 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.3, -16225, -1\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 208239628.05050895 - 208239661. Let z = -0.05080495 + b. Let a = z - -33. Round a to 5 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209028 a multiple of 582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**3\/3 - 2*u**2 + 11*u - 7. Is 12 a factor of y(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 211225957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 7*r - 8. Let n = 4 - r. Let c = -384 + 393. Let g(j) = -5*j**2 + 2*j. Let o(u) = 21*u**2 - 9*u. Calculate c*g(f) + n*o(f).\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f = -27. Suppose f*i + 282 = 11*i. What are the prime factors of i?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 11 + 3 = 0. Let r(q) = 4*q**2 - q - 5*q**2 - 4*q**3 + 3*q**v + 0*q. Suppose f - 4 = -3. Determine r(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t - 2. Let c be v(7). Solve -17 - 3 = -c*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 8*m + 1429. Calculate n(43).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3\/76, 457 in increasing order.\nAnswer: -4, 3\/76, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*m + 2244 = -45*m + 336*m - 188*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*j + 75*j + 68440 = -88*j - 1099*j for j.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(384) + sqrt(384) + -2*sqrt(384) + (sqrt(216)\/(sqrt(36)\/sqrt(4)) - sqrt(24)))\/(-1*sqrt(108) - sqrt(108)\/(sqrt(63)\/sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 23168057?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x + 2*x + 2*x)*(2 - 2 + 3 + x).\nAnswer: -2*x**2 - 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22303123 (base 4) to base 10.\nAnswer: 44251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence exa when three letters picked without replacement from {y: 1, e: 1, x: 2, p: 3, a: 1, z: 3}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 12 = -x - 3*x, 5*h = 4*x + 12. Let s(r) = -1 + r**2 + 0*r**3 + r**3 + r + h*r**3. List the prime factors of s(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.4 - 160.\nAnswer: -157.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 113?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2)*2*-6 - (3*1*sqrt(2))**2 - (sqrt(50)*1 + 6*sqrt(2)*2)**2.\nAnswer: -596 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.3832036 rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 76\/43 or 2?\nAnswer: 76\/43","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2 = 238. Suppose 0 = -4*y - 3*a + 155, -3*y + i = -y - 2*a. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-3))\/((-3)\/(-9)) + (-5544)\/616.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 95, 355, 797, 1427, 2251, 3275, 4505, 5947?\n\"Answer: b**3 + 85*b**2 - 2*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 114471.6 micrometers to meters.\nAnswer: 0.1144716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 3*j + 6. Let m be x(4). Suppose z + 0*c - 12 = 2*c, m = 3*z - 4*c. Calculate the highest common factor of z and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 196 = -2*h - 58, 4*h = 3*t - 131. What is the remainder when t is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 1 + 1)*(0*r + 0*r**2 + 2*r**2 + r) - r**4 + 3*r**4 - 5*r**4.\nAnswer: 3*r**4 + 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**4 - 123*g**3 - 1242*g**2 = 0. Calculate g.\nAnswer: -23, -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2891 (base 15) in base 4?\nAnswer: 2013232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 1.8256906?\nAnswer: -0.73027624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 23*x**7\/42 + 3*x**6\/10 - 499*x**4\/12 + 812*x. Find the third derivative of g(y) wrt y.\nAnswer: 1380*y**2 + 216*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - 79*u + 699. Give b(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1756 - -1762. Let x = 7 + 3. Let i = x - 7. Solve -3*r = -r + 4*p + 8, -o = i*p for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from icybbbchbb. Give prob of sequence hbyc.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 231 = -2*l + 247. Suppose -l*i + 9383 = 3*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 754.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05018 to three decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -105*c. Let b(f) = -f**2 + f + 1. Let t be b(-1). Let z be x(t). Suppose 71 + z = 4*o. What is the highest common factor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1050 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/5 or 228?\nAnswer: 228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80649512 is divided by 1701?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - j**2 - j + 20. Let d be u(0). Let s = -20 + d. Suppose -b - 2*o + 31 = 0, b = -s*b - 5*o + 22. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 4:56 AM?\nAnswer: 5:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 431387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15006\/12 - -5 - 2\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3 + 1.3. Which is the smallest value? (a) 19 (b) 0.3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -60*f**4 + 7375*f**3 + 660*f**2 - 5545*f + 1230 = 0. Calculate f.\nAnswer: -1, 1\/4, 2\/3, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, w: 6, l: 8}. Give prob of picking 1 s and 3 l.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-162)\/12*12\/(-216)*(-24)\/(-27)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80812 to the power of 1\/2, to the nearest integer?\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50882232 is divided by 5977.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -58235*v**3 - 3741 wrt v.\nAnswer: -174705*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 589*x**5 + 36*x**4 + 51*x**3 - 15257671*x**2.\nAnswer: 35340*x**2 + 864*x + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 523775532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 208 = -b - 4*v, 2*b - v = 104. Find the first derivative of 1 + 4*p**4 - 52*p**3 + b*p**3 wrt p.\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 21 - 1 = -3*b, 0 = -4*b + a - 9 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + w - 3*w - 57 = -69 + 22, 15*p + 2*w = -5*p + 6 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 5*b**2 - 6*b - 11. What is the units digit of t(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 7:06 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s**2 + 2*s + 10. Let v be k(5). Calculate the common denominator of 55\/2 and (4 - v\/16)\/(18\/(-556)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -190? (a) -2 (b) 4 (c) 0.05 (d) 0.5 (e) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {p: 1, y: 2, o: 4, c: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + (-2 + sqrt(1088) + 2 - (sqrt(1088) - (1 + -1*sqrt(1088))))**2)*5 + 2.\nAnswer: -320*sqrt(17) + 21842","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 756 at least 5298\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31\/62*0\/(-1)*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a century in months?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 2*g - 6, -o + 7 - 1 = 4*g. Suppose -4*j = 5*k - 70, -o*k + 35 + 10 = 5*j. Suppose q - k = -163. What is q rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 13*i + 70 = 0. Suppose -i*q + 2*a + 45 = -235, -5*q = -5*a - 295. What is the lowest common multiple of q and 8?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3.6093 + -0.2401. Round v to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-2)\/(-10)*0. Let o be -4*(22 + -20)*(-19)\/n. Let z = o + -79. Is z at least -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83717 divided by -83717?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**2 + 117*p - 2150. What is f(91)?\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**5 + 5*h**4 - 2*h**3 - 10*h**2 + h + 5.\nAnswer: (h - 1)**2*(h + 1)**2*(h + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*q = 8*q - 620. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/275 and 23\/114202?\nAnswer: 2855050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32002122 - 1?\nAnswer: 32002121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1046912 and 36.\nAnswer: 9422208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 17320 divided by -40?\nAnswer: -433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3361 - 783 = -4*i - 4*n, -5*i - 2*n = -5162. Calculate the remainder when i is divided by 192.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6079487 to the nearest integer?\nAnswer: 2466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/9143301 or 1?\nAnswer: -1\/9143301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 24. Suppose 3*a + 3*r + 3 = 2*a, 0 = 4*a - 4*r - 20. Calculate the smallest common multiple of (-30)\/t*-2*5 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -55*k + 8*k + 3290. Calculate the remainder when k is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -825, -0.1, -3, 3, -0.01 in descending order.\nAnswer: 3, -0.01, -0.1, -3, -825","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 - 2. Let y be g(0). Let a(s) = s + 32. What is the remainder when a(0) is divided by (34\/y)\/(-2 - -1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1858430515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 121554\/23 or 5285?\nAnswer: 5285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -8 + -3 - (18 + 8 + -44)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.048201 tonnes to nanograms.\nAnswer: 1048201000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3569 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, y: 5, z: 3, o: 9}. Give prob of sequence zy.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (13 - 2)\/(-308)*-12. Put 0.4, x, -24 in increasing order.\nAnswer: -24, 0.4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5 = 3. Let j(i) be the second derivative of 19*i**3\/6 - i**2\/2 - i. Is 9 a factor of j(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.19*2582\nAnswer: 490.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1865*a + 3589*a + 1289*a + 52936 = 126*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 18*c - 41 = 23*c, 24 = -3*n + 4*c + 73 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-12)\/306 - 29\/102. Suppose 4*f = -1 + 13. Suppose -4 = -x - f*x. What is the nearest to x in 3, -2\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 4*l - 40. Determine t(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11542 divided by -2197?\nAnswer: 11542\/2197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -726 divided by -6\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61617.\nAnswer: 3, 19, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 15*v + 49. Calculate z(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 5*m + 2. Let w(u) = u + 1. Let a be 1\/((-10)\/(-8) - 1) + 139. Suppose -3*s = -14*s + a. Suppose -6*d = -s*d - 21. Give d*w(q) + j(q).\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 0*z**2 + 4 - 7*z**2 + 7*z + 6*z**2. Let d be x(7). Suppose o + d = -3*q, 0*q - 2*q + 19 = 5*o. Which is smaller: 4 or o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 27*v**2 - 89*v - 521. What are the prime factors of a(-18)?\nAnswer: 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dttt when four letters picked without replacement from {e: 2, t: 4, d: 1, x: 9}.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -s, 2*o + 60517 = -3*s + 189986. Suppose -32*m = -13*m - o. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**4 + 10*k**2 - 2*k + k**3 - 8*k**2 + k - 6 in the form a*k**2 + n*k**3 + h*k + p*k**4 + m and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/141813?\nAnswer: 1\/141813","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -442.2 + 390. Let o = l - -49.2. What is the smallest value in -2, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -9.4. Let z = -3.6 + u. What is the closest to 1 in 0.2, -5, z?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4 + (-212)\/(-12))*-3. Let h = t - -45. Suppose -h*a - 776006 = -2*n, 2*a - 8*n + 388015 = -3*n. What is a rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 2, k: 4, r: 7}. What is prob of sequence ra?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-160)\/(-616))\/((-358)\/(-1253)).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -674 (base 12) to base 5.\nAnswer: -12302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2738 + -1674. Find the third derivative of -4 + 4 + 1157*x**4 + 124*x**2 - k*x**4 wrt x.\nAnswer: 2232*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -4*z**3 + 50*z**2 - 25*z + 3. Calculate t(12).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -30a0 (base 14) to base 16\nAnswer: -20b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/5 + (2 - 1). Let v be y\/(-4)*(0 + 0). Suppose -2*o + 87 - 3 = v. Calculate the highest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -1) + (0 - -25). Let p be (2\/8)\/((-5)\/(-8) + 2\/(-4)). Let z be p\/(-2) + u\/6. Solve -3*j + 0 = -z for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/192 and 49\/678?\nAnswer: 21696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13.669*4.\nAnswer: 54.676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -14.8 - -15. Let y = 3.923 - -0.077. What is the closest to -0.4 in 2, a, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15 + (-24)\/(-16)*(-169)\/(-117)*-6. Factor 27\/4*p + 0 - 3\/4*p**q.\nAnswer: -3*p*(p - 9)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 1\/7 (c) -1\/6 (d) -0.03557 (e) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4428 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1 - (0 + 0 - 2). Let z be w\/(-9) + 2\/(-6). Which is smaller: z or -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 4*d - 3*n - 96, 0 = n. Suppose 0 = 4*r - d + 10. Let l(x) = 13*x + 5. What is the tens digit of l(r)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1107192 and 3044778?\nAnswer: 12179112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 9*p + 4. Let x be w(9). Suppose -4*n + 4 = -x*l, 2*l - 2 = 4*n - 3*n. Solve 4*u + 8 = 2*b, 0*u = 3*b - n*u - 4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6*g - 10 = 0. Suppose -g*t - 18 - 2 = 0. Let p be (152\/t)\/2*-5. What is p rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 547615.\nAnswer: 5, 31, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2637449 > -0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -267*x**2 + 109*x**2 + 97*x**2 + 9796*x**6 - 34 wrt x.\nAnswer: 1175520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 3*q + 3 = 0. Let a(c) = 4*c + 3. Give a(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1873048614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 210*h + 183 = -1082, 5*h = -4*x - 6 - 28 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*q + 6*q**6 + 11*q - 3*q**2 wrt q.\nAnswer: 720*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.91367 litres to millilitres.\nAnswer: 33913.67","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejnjejsjkj. Give prob of sequence jjns.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.102 - -1.102. Let p = 1\/200 + 159\/200. Which is the fourth biggest value? (a) 5 (b) p (c) j (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3845 and 12465.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**2 + m - 4. Let s be v(6). Let j = -116 + s. Let g = -153\/2 - j. Which is the nearest to 1? (a) g (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.5 + -0.83. Let t = 0.13 + x. Let k = 54 + -54.04. What is the third smallest value in -5, k, t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8162 and 236698?\nAnswer: 236698","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**4\/3 + 8*v**3\/3 + 16*v**2\/3 - 32*v\/3 = 0. Calculate v.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i + 20. Let y be j(-9). Put 5, 4, y, -2 in descending order.\nAnswer: 5, 4, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3772001923 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1204693 is divided by 120469.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of f**9\/378 - f**6\/360 + 8*f**3\/3 + 9. Let s(h) be the third derivative of i(h). Find the third derivative of s(u) wrt u.\nAnswer: 480*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((6 + -6)\/(-3))\/(2 + 1). Let m(y) = 3*y - 47. Let c be m(d). Let h = c - -53. Solve 3*a + h = 3*j, -2*a - j = 6 + 1 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460 + 2275 = 78*d - 57 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + 13*n**2 + 1. What is p(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.86 from -1.2002867.\nAnswer: -0.3402867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1740 divided by 348?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-10)*-3*84\/18\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q - 124. Let g(f) = -f + 32. What is 2*d(r) + 9*g(r)?\nAnswer: r + 40","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 21 + 7 = -r, 0 = -2*n. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 696533 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 586.0425 decades?\nAnswer: 70325.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 165.613 - -30.297. What is o rounded to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.277999863 + 0.278. What is m rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = -v + 3*f - 164 + 81, 29 = -2*v + 7*f for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 34570*g + 28 = 34572*g, -10*w - 26 = -4*g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0\/((-9)\/(-3)))\/(-1). Let h(k) = k**2 - 8*k + 10. Let d be h(7). Which is the second smallest value? (a) d (b) f (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/21, 0.3, 2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = x - 118283, 0 = -5*x + 10*x - 5. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 1442301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 18 = -2. Let i = -0.33 - -0.03. Which is the closest to 0? (a) 1 (b) m (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 7 (b) -5 (c) -1 (d) 145 (e) -4 (f) 0 (g) -0.06\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 + 25*v**4 + 7*v**5 + 45*v**3 + 9*v**4 - 12*v**2 - 52*v - 13*v**2 - 12 = 0. Calculate v.\nAnswer: -3, -2, -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 17*k**2 - 8811*k**3 - 8*k**2 + 8810*k**3 - 16*k + 6. What is u(6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11010101101001100 (base 2) to base 5\nAnswer: -12000023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + 10 - (-3 + 3)\/3. Suppose -2*j - 16 = -z*j. Does 12 divide 2*j\/4*72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let u be 1 + -2 + 1 - -48. Let w(b) = 11*b**2 + 42*b**2 - u*b**2. What is w(l(a))?\nAnswer: 20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-1 - (-6)\/(-9)). Let j(u) = -3*u + 15. Let h be j(3). Let c be (h\/4)\/(36\/208)*3. Does s = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584539313 to the power of 1\/2, to the nearest integer?\nAnswer: 24177","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 173476 to the power of 1\/2, to the nearest integer?\nAnswer: 417","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 12, -2, -98, 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7 - (-4 + 3 + -1445)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 78, -466, 3 in ascending order.\nAnswer: -466, 3, 4, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -1177*q + 1180*q, -3*a - 4*q - 28 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -432, -626, -818, -1008, -1196?\nAnswer: -1382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5d8b1 - 3a?\nAnswer: 5d875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9518.\nAnswer: 2, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.12 and 42129?\nAnswer: 42129.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25687 - 25729. Which is the closest to 2? (a) -1\/7 (b) -2\/37 (c) o (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 7*k - 7*k + 3 - 4 - k. Let f(c) = -5*c - 4 + 3 - 5. Calculate -f(a) + 3*v(a).\nAnswer: 2*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 6, t: 4, k: 1, l: 5}. What is prob of picking 1 l and 1 k?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2694 - 2708) + (0 - -56)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*u + 27*u + 96 + 21*u - 2*u**2.\nAnswer: -2*u**2 + 60*u + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2223 and 40014.\nAnswer: 40014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-32)*4*(-640)\/(-300).\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(sqrt(567)*-3) - (sqrt(637) - (sqrt(637) + 2))*6.\nAnswer: -sqrt(13)\/27 + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - 2*m**2 + m - 1. Let h(u) = 6*u**3 + 9*u**2 + 1514*u + 5. Determine h(c) + 4*x(c).\nAnswer: -2*c**3 + c**2 + 1518*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -301956972838 minus 2?\nAnswer: -301956972840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -6, -268 in decreasing order.\nAnswer: 3, -6, -268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h**3 + 176*h**2 + 500*h + 328 = 0. Calculate h.\nAnswer: -41, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/84, -391, 0, 2\/9, -7?\nAnswer: -1\/84","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 150.73 + -150.93. Sort -14, -4, c, -1 in decreasing order.\nAnswer: c, -1, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 35 - 530?\nAnswer: -484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*i + 454 - 2926 = 886 for i.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*q + 12911 = 17039 for q.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 55 + -7d1?\nAnswer: -77a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 34773938*n**2 + 41500630.\nAnswer: 69547876*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 207 and 6279.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 731943811 less than -6235?\nAnswer: -731950046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -117 + 1757\/15. Let u = -11\/3 + 29\/12. What is the closest to -1 in 0.5, u, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l - 5*l + 4*l. What is j(6)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57683123 is divided by 44440?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32017471?\nAnswer: 59, 421, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + 1. Suppose -4*r + 11 + 1 = 0. Suppose 81 = 4*n + 5*g, r*n - 26 - 11 = g. Calculate the remainder when c is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4674*g - 4165*g + 17815 for g.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + -18 + 10 + -22 + 15.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the first derivative of 3*a**2\/2 + 2*a + 13. Let w(d) = -2*d - 1. Let n(f) = 6*j(f) + 11*w(f). Determine n(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.7 - 5.7. Let s = -21996\/7 - -3142. What is the second smallest value in l, 2, 4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkjkakjka. Give prob of sequence jkaa.\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 295430, 1181840, 2659180, 4727444, 7386626?\n\"Answer: -s**3 + 295471*s**2 + 4*s - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-32))\/(3\/(-6)). Let x = -265.27 - -262.27. Which is the third smallest value? (a) 0.3 (b) n (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 6. Let l be m(-5). Let n = -35600\/7 - -5084. What is the nearest to l in n, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, e: 7, y: 5}. Give prob of sequence wyy.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 80, 529, 1700, 3953, 7648, 13145, 20804, 30985?\nAnswer: 44048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18132?\nAnswer: 2, 3, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 55, 5, -0.069, 0.3 in decreasing order.\nAnswer: 55, 5, 3, 0.3, -0.069","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*h + 147*h**3 + 88*h**3 + 10*h + 0 - 2.\nAnswer: 235*h**3 + 19*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82222197?\nAnswer: 3, 27407399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -107724.4321 to the nearest 10.\nAnswer: -107720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -4*c + 5*z - 3*z, 3*c - 27 = -4*z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -4*r**2 + 8*r - 10. Let f(c) = -3*c**2 + 5*c - 7. Let h(q) = 7*f(q) - 5*p(q). Give h(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 2. Let b = -8 + k. Is b < 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 313665\/4 + 0 + (-539)\/(-196).\nAnswer: 11, 7129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u - 4 - 1. Suppose 10 = -u*g + 25. Solve 0 = g*s - 5*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oxxxxxxxxrxoxx. What is prob of sequence oxor?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (26\/((-728)\/28))\/(8\/(-82)) - (-108 - -118).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g**5 + 200*g**4 + 2370*g**3 + 11800*g**2 + 24625*g + 15000 = 0. Calculate g.\nAnswer: -24, -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*x, 15*n - 5*x - 40 = 18*n. Sort -134, n, 4, -1, 3 in increasing order.\nAnswer: -134, n, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -290489557 divided by -50371?\nAnswer: 5767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1234935?\nAnswer: 2469870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - d + 4*d = -35, 4*d = 0. Does i = -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/(34050\/3178)?\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61786 is divided by 106?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 293200893 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from ffffffnnnf.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 1, q: 4, g: 2}. Give prob of picking 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -967, -1200, -1645, -2350, -3363, -4732, -6505?\n\"Answer: -8*q**3 - 58*q**2 - 3*q - 898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r = -31*r - 20. Let w(z) be the third derivative of -7\/150*z**r + 0 - 1\/150*z**6 + 0*z + 4\/15*z**3 - 1\/15*z**4 - z**2. Suppose w(h) = 0. What is h?\nAnswer: -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3382, 9709, 19024, 31321, 46594, 64837?\nAnswer: 86044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 468*d - 329*d - 16 = -1617 - 484 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4656 is divided by 196.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**5\/20 - n**3\/6 - n. Determine p, given that w(p) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-36)\/(-12)*((-109)\/18 - 1) and -37\/66?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-15))\/((-61)\/(-610))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 0.5, -1\/3, 0.156, 6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 180*q**2 + 5*q + 9. Is l(10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + x**2 + 2046 + 2175 - 6*x**2 + 2041 + 22*x - 6262.\nAnswer: -3*x**2 + 22*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*r + 263 = -160*r + 2642 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9388 is divided by 2062?\nAnswer: 1140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: a91 (base 13) to base 2\nAnswer: 11100010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -37*o - 1801. Give l(-49).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((0\/(3 - 0))\/2)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*q, -3*c = 2*c - 5*q - 40. Suppose 4*u + 680 = -0*p + c*p, 2*p - 332 = -2*u. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p. Let r(g) = 13*g - 1. Let j(q) = 6*b(q) + r(q). Let i be j(1). Let o = 4 - i. Is o < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*a - 4. Suppose 5*h = 25, -g + h = -a*g + 9. What is the closest to 0.1 in -1\/5, g, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -21 - 111?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(-5\/2)*u*u*u**14)**(-2\/15) assuming u is positive.\nAnswer: u**(-29\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -87447, -87427, -87393, -87345, -87283, -87207?\n\"Answer: 7*z**2 - z - 87453","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5286*q - 4. Suppose 4*k - 8*k + 56 = 0. Let a be y(k). What is a rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30699 and 1510315.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/27 and -71\/210.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/8))**(-27)\/((s*s*s\/s**(4\/11))\/s*s\/(((s*s**18)\/s)\/s)) assuming s is positive.\nAnswer: s**(967\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {f: 2, x: 7, a: 11}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*w + 32 - 32)*(-w - 2*w + 2*w + (w - 4 + 4)*(-6 + 4 + 1)).\nAnswer: 34*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 124237*o - 271195?\nAnswer: 124237","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((7 - 13) + 14). Which is the closest to o? (a) -292 (b) -2\/11 (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10642, 10641, 10640, 10639, 10638, 10637?\n\"Answer: -d + 10643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of 11*m**4\/24 + 31*m**3\/6 - 30*m**2. List the prime factors of l(10).\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5717398 and -11?\nAnswer: -62891378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17\/4 of a hour?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122936*j**2*q**2 + 371*j**2*q + 3*j**2 + 4*q wrt q.\nAnswer: 245872*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55689?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q. Let l(a) = 38*a + 1277125. Determine l(w(n)).\nAnswer: -38*n + 1277125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 - 56. Suppose 2*b = -f*b + 536. What is the remainder when b is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*w - 1133*w**2 + w**3 - 14 + 10 + 22 + 20 + 1126*w**2 - 2*w**4 as q*w**3 + v*w**2 + r*w + o + y*w**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 170\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)\/(h*h\/((h*h**(-2\/9)*h*h*h)\/h*h*h)*h))**(-9)*h**(-1\/4)\/h**2*(h\/h**(1\/2))\/(h**(-3)\/h) assuming h is positive.\nAnswer: h**(-67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (2\/4 + 0\/1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**2 - 4*v + 3. Let a be o(3). Solve -4*l + 16 = 4*c, a*l = -4*l + 3*c + 16 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -589 + 604. Solve h*q - 3*q + 60 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28764)\/(-11186)*(-1)\/4)\/((-6)\/(-7)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11870719 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1211 + 10?\nAnswer: -1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001446596 to five dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -40 + 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z = 0. Let c be z\/(-3) + (-6)\/(-1). What is the remainder when c\/((-4)\/(-42) - 0) is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 10, -0.0518, -4, 0.2, -1, 23\/7, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50753997 rounded to the nearest 1000000?\nAnswer: 51000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, a: 5, s: 2, h: 3, y: 3}. Give prob of picking 1 s and 2 g.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 + (-1 - 1 - -57 - 1). Let i = w + -40. What is the remainder when 18 is divided by i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2755 = -5*y + 4*p, 5*y = -36*p + 33*p + 2790. Calculate the greatest common factor of y and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.161192cm in nanometers?\nAnswer: 71611920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 66.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qvltlkkr. What is prob of picking 1 r, 1 k, and 2 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 4, y: 2, f: 7}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4*k + 60, 11*k = 6*k + f + 75. Calculate the highest common factor of k and 105.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 + 26*s - 129. Let t be c(19). Solve -t = 5*h - 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < -6\/18419?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.008101 to 4 decimal places.\nAnswer: -0.0081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.42 take away 0.019?\nAnswer: -3.439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1043 (base 6) in base 5?\nAnswer: 1433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d + 25. Let j be p(13). Let z = j - 36. Suppose -4 - z = -5*a + 2*r, 5*a - 5*r = 0. Solve 5*s + 2*f - 3 = 0, -a*s - 2*s = 2*f - 4 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of -3667*f**5\/60 - 605*f**4\/8 - 28*f**2 + 23. Find the second derivative of t(q) wrt q.\nAnswer: -7334","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 85190 + -49581. List the prime factors of d.\nAnswer: 7, 5087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from sfgs?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 + 0 = -5*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.8 - 0.3. Let m = 2145.649993 - 2146.75. Let r = w - m. What is r rounded to six decimal places?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -c**3 - 36421*c**2*n*q - 4*c*n*q + 5*c*n + 98*c wrt c.\nAnswer: -6*c - 72842*n*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s*s**(1\/3)))\/s**(-5))**(13\/3) assuming s is positive.\nAnswer: s**(182\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from {g: 2, e: 2, u: 6, r: 3}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 829\nAnswer: -1\/829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -124. Calculate the smallest common multiple of 33 and c.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 divided by 22?\nAnswer: 115\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -26\/29589 and 139\/656448.\nAnswer: 6474546624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 3)*(30*r - 11*r - 7*r)*(-28 + 28 - 41*r)*(-3*r + 1 + 0*r + 5*r).\nAnswer: -984*r**3 - 492*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3793111 to the nearest one hundred thousand.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*k + 2*k + k)*(-2*k + 9*k + k) + 0*k**2 + 3*k**2 - 5*k**2 + (-2 - k + 2)*(k + 1 - 1) as t + s*k + f*k**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -524 divided by -6317\nAnswer: 524\/6317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 235354755 and 3945?\nAnswer: 3945","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1335 and 75.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and 0.1976 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 5:04 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -844 + 843 + v - 5*v**3 + 2*v**3. Let y be p(1). Let s(j) = -2*j - 3. Determine s(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-88)\/(-12) - 1 - 4\/(-6). Let z(l) = 5*l - 33. Let t be z(g). Suppose t*o - 2*a = 63 + 277, -4*o + 675 = -5*a. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8234 + 172832\/21. Let m = 4523598077\/132330 + 10343\/4411. Let r = m + -34190. Find the common denominator of k and r.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3059202*d**3 - 11518076*d**3 - 11*d + 11*d.\nAnswer: -14577278*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzlpplesz. What is prob of picking 2 p and 1 e?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 103, -76, 0, -1, -3 in descending order.\nAnswer: 103, 0, -1, -3, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*d + 16*d + 25*d - 81396. What is the tens digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*a + 71327, 4*p + 2*a - 45572 - 25762 = 0. What is the hundreds digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26969 and 10?\nAnswer: 269690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b + -ada?\nAnswer: -ace","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - 3*n - 5. Suppose 225 = 5*y - 0*y. Suppose -4*x - 3*g = -y, 2*x - 5*g - 19 = 10. What is the remainder when j(-5) is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82800 and 1056528?\nAnswer: 3312","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 + 27. Let l = 56 - i. Suppose -q - c = -144, -5*q - l*c + 714 = -5*c. Is q a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.177 * -6.\nAnswer: 1.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-196)\/(-260) + 6\/(-10). Put -4\/33, h, -2\/15 in ascending order.\nAnswer: -2\/15, -4\/33, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58470 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (4 - 10 - -7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 10201 (base 4) to base 8\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*s + 2\/3*s**5 + 0*s**2 - 2\/3*s**3 + 0*s**4.\nAnswer: 2*s**3*(s - 1)*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(11*y**2 - 6*y**3 - 1532*y + 3*y**3 + 1534*y) + 7*y**3 - 6*y**3 - 18*y**3.\nAnswer: -11*y**3 - 22*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {u: 5, y: 15}?\nAnswer: 91\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17944 is divided by 579?\nAnswer: 574","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-6))\/((4\/12)\/(128\/(-384)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2286 is divided by 2270?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(4 + (sqrt(2700) + 2)*-6 + (sqrt(2700)*-1 - sqrt(2700)) + 4))**2.\nAnswer: 17280*sqrt(3) + 1555344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 90 + 112 - 4*f**3 - 4*f**4 - 204 - f**4 as m*f**3 + n*f**2 + q*f + r + c*f**4 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 j when three letters picked without replacement from znnzjmjrlzrj.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.287825 millilitres?\nAnswer: 0.000287825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + -3 - -4) + 0 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sns when three letters picked without replacement from {n: 7, p: 4, s: 6}?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1847\/851 + -98\/37. Let z be (-436)\/46 - (-9 - (-376)\/40). Let a = n - z. Calculate the common denominator of a and 41\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -2, 1\/6, 1\/12, 0.041, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 9:01 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 585180 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 7*i - 47. Let u be k(7). Let c(r) be the first derivative of -4\/3*r**3 - 1 - 2*r**u + 0*r. Find the second derivative of c(b) wrt b.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33 + 10?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, 1, -1\/30, -1\/211073?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -23\/3 (c) -2\/9 (d) 72 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*r**4 - 347*r**5 + 168*r**5 - 9 + 174*r**5 - 2*r + 22*r**2 + 33*r**3 + 4*r**4 wrt r?\nAnswer: -300*r**2 + 24*r + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(((-35)\/35)\/(4\/28))?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77642*v**5 + 109*v**4 - 1812894*v**2 wrt v?\nAnswer: 4658520*v**2 + 2616*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a hour?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3045559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5 = -0. Suppose -7 = -3*a + 2*s, -4*a + 3*s + 6 = -3. Let w = a - 0. Solve -w = -f + q for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 65704491 and 3537?\nAnswer: 1179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(-10)*(-2236)\/(-602))\/((210\/100)\/21).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 273?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/6*12\/(-3) - 1. Let t(a) be the first derivative of 4*a**3\/3 - 1. Give t(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a - 6. Let x be t(4). Let s be (-123)\/(-5) - (-4)\/x. Let n = s + -13. Calculate the greatest common divisor of 12 and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-28)*(-175)\/(-150)*12\/27?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omu when three letters picked without replacement from {e: 1, o: 5, l: 3, m: 5, u: 1}.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154557 is divided by 148?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*k + 2 = -1, k + 9 = 2*p. Factor 2\/5*t**p + 0*t**2 + 0 - 2\/5*t.\nAnswer: 2*t*(t - 1)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r + 1820*r**2 + 3*r + 1912*r**2 + 1826*r**2 - 5559*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - (-6248)\/(-6))\/(14\/262500). Round x to the nearest 1000000.\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 527 - -17. What is the second derivative of -114*d - k*d**2 + 34*d + 508*d**2 wrt d?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -62207.597\nAnswer: 62203.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7864.\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11821877?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 40 = -3*k, 26*r = 30*r - 9*k - 32 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.26201705 minus -12?\nAnswer: -9.26201705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 85978743 to the power of 1\/3, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8652788 millimeters in centimeters?\nAnswer: 0.08652788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -381 * -0.004\nAnswer: 1.524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3531313*q**2 - 3531311*q + 2 = 0 for q.\nAnswer: -1, 2\/3531313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - 7*s + 62, -43236*x + 40 = -43231*x + 5*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 3222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 5*a - 3. Let s(v) = -v**3 + 6*v**2 + 9*v - 8. Let u be s(7). Let x(t) = t - 2. Let h be x(u). Give g(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.545 - 3.445. Let w = z - 0.01. Let y = -3.9 + -1.1. Which is the biggest value? (a) y (b) -3\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nng when three letters picked without replacement from {g: 5, n: 7}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 246 - 107 + 7*j - 116.\nAnswer: 7*j + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -37 (b) 2 (c) -5\/4 (d) 1\/6 (e) 4 (f) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 1. Let g(d) = -d**3 + 5*d**2 - 2*d - 3. Let c(r) = g(r) - 4*h(r). Let a be c(4). Let w be 128\/252 - 2\/9. Which is greater: w or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-204)\/(-24))\/(-17) - 587\/(-1166). Let f = -599\/4664 + z. Which is the smallest value? (a) -0.5 (b) 0.5 (c) -22 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (728 - 749) + (-1 - ((-2 - -3) + 12))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d - 8*d = -608. Calculate the greatest common divisor of 247 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a kilometer in meters?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 3*r - 11 = 2*r, 2*r = 3*a - 11. Suppose 0 = m + a*m - f - 15, -2*f = 4*m - 6. Suppose -28 = -7*n + m*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -128 or -99?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 8:15 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:55 AM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15 + 604453?\nAnswer: 604437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8795)\/(-5) - -4) + -14 + 21. What is the greatest common divisor of 20 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-48)\/9 + 6 - (-32)\/(-12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5071 and 40647753.\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/((-63)\/2)*18\/6. Which is the closest to 1? (a) 0.04 (b) 2\/9 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*p + 5*g, -p + 2*p - 18 = 3*g. Suppose -w + 5*t = 17, -3*w + 8*w + t = 19. Suppose -p*d + 48 = -w*d. Does 8 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 186 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 4620 = -22*b. Suppose 9*n + 98 = 16*n. Calculate the highest common divisor of n and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(114)*2)\/(sqrt(6)*-1*-2)*2)**2.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in four thirds of a minute?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 746723 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 24*q**2 - 3*q - 114. Let v(o) = -2*o**2 + 12*o - 10. Let j be v(7). Let k be h(j). Which is smaller: -8 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126530101 and 59935311.\nAnswer: 1138770909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 8, 5, -8, -37, -88?\n\"Answer: -x**3 + x**2 + x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 19. Is 489 + (2 - (t - (1 + -4))) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (10 + -12 - -23) + -11?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 = -2*w, 4*w + 12 = -z + 29. Suppose 5*b = w*q + 4*b - 16, q - 2*b = -4. Solve y - 3 = -q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.45770584 to 3 dps.\nAnswer: 0.458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -829, -827, -823, -817, -809?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-1\/16)*u)**(13\/2)*(u\/(u*(u\/(u**8\/u))\/u))\/u**25)**(-1\/5) assuming u is positive.\nAnswer: u**(173\/160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 2 + 7. Suppose 4*q - 23 = -a, -q - v = a - 19. Let c = 67 + a. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 6*c**2 - 2*c - 34. Calculate z(5).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/12 - 87\/(-12). What is the highest common factor of x and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -3*l + 15 + 4, d = 4*l. Suppose 0 = -d*f + 2256 - 668. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + -1 + -3)*5\/10. Suppose b - 1 = -g, -t + 139 = b. What is the remainder when t is divided by 30?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*s**3 - 434592*s**2 - 387033*s + 47394 = 0. What is s?\nAnswer: -2633, -1, 6\/55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25164027 + -16692931. Let b = p - 2571096. Round b to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 270*p + 190*p + 364*p - 199*p.\nAnswer: 625*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97 + 31 = 8*n. Suppose 9*p = -n - 11. Put -2, 5, p, 3 in ascending order.\nAnswer: p, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4981 + -4733. Calculate the highest common divisor of 682 and l.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 16 = 2*q. Suppose 0 = -3*y + 20 - q. Solve -5*s + 2*p = 9, 5 = -5*s + y*p - 8 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((4\/(-12))\/(-1) + 1)*(-1344)\/128?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**2 + 8. Let z be u(0). Let d = z - -12. List the prime factors of d.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h + 2*h + 2*h**3 - h**3 - 5*h**2. Let m be (3\/1 - 0)*1. Determine x(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n, 115 = 5*z - n + 6*n. Let s = 50 - z. What is the remainder when s is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(65)*1*2 + sqrt(65) - sqrt(65))*-6)\/(((sqrt(350) - 2*sqrt(350))\/sqrt(10))\/(sqrt(21)\/(-2*sqrt(3) + sqrt(3)))).\nAnswer: -36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19\/12 - -1\/12. What is the nearest to 2\/7 in y, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = 2*o + 18, 3*a = 2*o - 3*o - 17 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 36 - -8*4\/(-8). What is the second derivative of 13*w**4 + 7*w**4 + 48*w - f*w - 27*w wrt w?\nAnswer: 240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 3*k**2 + 2*k - 5. Let p be b(4). Let f(h) = -h**3 - 14*h**2 - 14*h + 1. What is the lowest common multiple of f(p) and 20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -2*c - 16. Let y be p(-8). Solve 10*g - 5*g - 10 = y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 - -0.01. Let l = -3 - -4. Which is the nearest to -1? (a) u (b) 0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -4*s - 5*q + 2*q, -3*s = -q - 8. Let w = 4 + s. Suppose -w*a + 4*v + 80 = 0, 2*a + a + v = 31. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2 = 5*h, b = -5*h - 2 - 5. Let c be 1 + 0 + (1 - -1). Let g = c - 7. Put b, -1, g in ascending order.\nAnswer: g, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 18 = 3*s, 5*s + j + 39 = 3*j. Let a be -1 + 2\/s + 1. Let c = 1 - 1. Sort c, a, -0.4 in descending order.\nAnswer: c, a, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100486.\nAnswer: 2, 47, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 5 (b) 0.071 (c) -114 (d) -0.1 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (43 + -39 + 4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 13*z + 918 = 0. Is 17 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 14*j - 16. Calculate f(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*c - 3*c + 4*c + (0*c - 2*c + 4*c)*(0 + 0 + 2) + (c + 6 - 6)*(-2 - 4 + 0) + 8*c + c + 0*c.\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*l + 0*l - 30548 + 30548.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/3 (b) -0.4 (c) -3 (d) 482 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3197 a multiple of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = j - 3*j + 8, -5*j = 4*n - 14. Let l(s) = -4*s - 2*s**2 + s**3 + 2*s - s + n. Let v be l(4). Calculate the highest common factor of 63 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7569 a multiple of 230?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23497 is divided by 5863.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -k**4\/10 - 4*k**3\/5 - 6*k**2\/5 = 0.\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 1230*t + 151853. Calculate h(-444).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*a + 4*k + 139, 0 = 4*a - 3*k - 135. Suppose 3*q = -0*q - a. Let o be 20\/(-6) + q\/(-6). Which is smaller: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -4*l - 2*o, -2*l + 0 + 51 = -3*o. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -17. Let v(c) = 2*c - 1. Let y be v(g). Let q(d) = 2*d**2 + d - 3. Let x(j) = 4*j**2 + 2*j - 7. Determine y*x(i) - 7*q(i).\nAnswer: -2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3528.208 millilitres to litres.\nAnswer: 3.528208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v + 16 + 6*v - 31. Calculate j(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748797 is divided by 225.\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 299936*m**3 - 7798340*m**2 - 16796312*m + 224 = 0. What is m?\nAnswer: -2, 1\/74984, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1439, 5667, 12719, 22595, 35295, 50819, 69167?\n\"Answer: 1412*t**2 - 8*t + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/3*(-9 + 12). Let c(l) = l - 3. Let k be c(y). Sort 0.3, k, 1\/8.\nAnswer: k, 1\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)\/(sqrt(40)\/sqrt(5)))\/(sqrt(10) + (sqrt(10) - -1*sqrt(10)*4)) - (2 + (0 + sqrt(180))**2 + (0 + sqrt(180))*2).\nAnswer: -182 - 71*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235277 is divided by 56.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 7*w - 1. Let v be u(1). Suppose -p + 10 + v = 0. Let g be (-2)\/8 - (-20)\/p. Solve -3*c - g = 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1439?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 748168, 1496032, 2243896?\n\"Answer: 747864*t + 304","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(-7\/4))\/((h*h**(5\/2)*h)\/h)*(h*h**4)**(-11\/5) assuming h is positive.\nAnswer: h**(-57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7804552297 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43036299?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 17827?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270 divided by -14.\nAnswer: -135\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -6. Let t be 2 + ((-14)\/p)\/2. Suppose -3 + 13 = 2*m. Which is the closest to t? (a) -0.5 (b) m (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136)\/(sqrt(4) + (sqrt(432)\/sqrt(12) + sqrt(4) - sqrt(4)))*4)\/(sqrt(288) + sqrt(288) + (6*(sqrt(288)*-2 + sqrt(288)) - sqrt(288))).\nAnswer: -sqrt(17)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*k - 0*k. Suppose -6*o + 210 + 456 = k. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 18 = -2*d, -14 = 2*d + 5*z + 4 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 251, 500, 749, 998, 1247, 1496?\n\"Answer: 249*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 15911.25606 milliseconds?\nAnswer: 0.00002630829375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*(12 - -5) + -8 + 14. Is i greater than or equal to -50?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a - 5. Let h be k(-6). Let s be 9 - (-15 + 20) - (17 - -3). Let t = h + s. What are the prime factors of t?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3320 is divided by 1106?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -0.1831 (c) 1\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42131 is divided by 1620.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -5*a - 3. Let n be u(-1). What are the prime factors of ((-108)\/(-8))\/(n\/4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 1, -41853\/5, -1 in decreasing order.\nAnswer: 1, 0.1, -1, -41853\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4197*i - 4066*i + 16353*i - 4053*i - 4090*i.\nAnswer: -53*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43015459?\nAnswer: 239, 179981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -41?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1031832684 to three dps.\nAnswer: -0.103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75389464077.99999723 - 75389464688. Let t = z + 610. Round t to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37968 to the power of 1\/2, to the nearest integer?\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -560205 (base 8) to base 6\nAnswer: -4012525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101001 + 10?\nAnswer: -11100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*a - 17016 - 363. List the prime factors of a.\nAnswer: 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 106 + -49. Find the common denominator of (a\/(-33))\/(-2 + (-5)\/(-4)) and -89\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*j + 14. Let l(x) = 3*x + 2. Let z be l(j). Which is the biggest value? (a) 4\/7 (b) 1\/5 (c) z (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 284 = -2*d - 5*a, -d - 5*a = -132. List the prime factors of d.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/10)\/(41\/((-152725)\/(-298)))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4552, -3846, -3142, -2440?\nAnswer: -1740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11448407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/2)*p\/(p**(-1\/2)*p*p))\/((p*p**(3\/5))\/p*p\/p**(1\/3)))\/(p**(-8)\/(p*(p**(3\/8)*p)\/p*p))**(-6\/19) assuming p is positive.\nAnswer: p**(-5179\/1140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6029*f**3 - 412*f**2 - 6 wrt f?\nAnswer: -36174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 85?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -146 + 145.596. Let c = a + 0.404000303. Round c to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12324 rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -1. Let d(y) = -2*y - 8. Let t(r) = d(r) - 10*v(r). Let a(w) = 2*w - 2. Determine 3*a(u) + 4*t(u).\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2370206 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/171 and -64\/45.\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-150)\/(-720)*30*-4?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40 or 888?\nAnswer: 40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a + 106. Suppose 11*k - 66 + 352 = 0. Let i be c(k). Solve x = 2*x + i*u - 7, 0 = -4*x + 4*u + 16 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 11*v**2 + 2*v + 16. Let n be y(-11). What is the units digit of 58 - (-2 - n - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 12:07 PM?\nAnswer: 11:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 1 - w**3 + 0*w**2 + w + 1\/4*w**4. Calculate c(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 9:00 PM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45\/2 of a litre?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1326?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(288) - (1*sqrt(288) + sqrt(288))) - 2*(sqrt(50) + -5))**2.\nAnswer: 520*sqrt(2) + 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 2*q**4\/11 - 124*q**3\/11 - 4470*q**2\/11 - 30296*q\/11 + 34888\/11 = 0.\nAnswer: -14, 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*b + 1857 + 1535 = 292*b for b.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-5)*(-546)\/(-1183)*-91.\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -1186*h. Let x(m) = -7*m. Determine o(x(k)).\nAnswer: 8302*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 142 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -34421413 - 21?\nAnswer: -34421434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**2\/7 - 7986852*w\/7 + 2281956 = 0.\nAnswer: 2, 2662282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -23) + (-4 - (-8 + 27 + -15))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17\/33 + 95\/264. Suppose -2*p + 6*p + 16 = -5*m, -5*m - 3*p - 12 = 0. Let h be (-2 - m)\/(2 + -4). Are h and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**32*n)\/n**(-20) assuming n is positive.\nAnswer: n**53","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2698 - 1152. What is the hundreds digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5310949*f**3 + 23*f**2 - 192*f + 341 wrt f.\nAnswer: -31865694","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5.8 - 6. Let w be 8\/(-28)*(-21)\/(-9). What is the biggest value in w, r, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert b2470 (base 12) to base 15.\nAnswer: 48c0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -0.5, -1\/7, -5\/6, -18078 in decreasing order.\nAnswer: 27, -1\/7, -0.5, -5\/6, -18078","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(1\/(-4)*1). Suppose 0 = 2*b - 4*b + 6. Let p be (b\/2)\/(2\/q). Solve -p*d = d + 12, 3*f = 2*d + 15 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 t when four letters picked without replacement from tcnchtccccttc?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2267*y - 160963. Determine n(-71).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -21a449 + -47?\nAnswer: -21a490","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3249, 6498, 9747?\n\"Answer: 3249*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -1, 48 in ascending order.\nAnswer: -17, -1, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*b + 21*b = 3*i - 29, 5*b + 2*i + 19 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 26*y - 12*y. Let w(d) be the first derivative of 0*d + 3\/2*d**2 + y. Let b(m) = 5*m**2. Calculate b(w(p)).\nAnswer: 45*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (552\/345)\/((8\/(-15))\/(-4)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/((81\/72)\/(-3))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -r**3 + 744760*r**2 + 32528*r - 1 wrt r?\nAnswer: -6*r + 1489520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 379519061 to the nearest 1000000.\nAnswer: 380000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4644.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 10:41 PM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -0.4 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1203608?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -3321 divided by -3?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.116641 minutes to weeks.\nAnswer: 0.00348379375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 7*t**2 + 6*t. Let o be n(6). Suppose 0 = 3*r - o*r + 12. Let u = -7 - r. Sort 4, u, -2.\nAnswer: u, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 17654 and 2037.\nAnswer: 52962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.75094 milligrams in micrograms?\nAnswer: 66750.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -12 - (14 - (-2 + 37)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 2 = 0, 12*n - b + 44 = -5*b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 243 a factor of 118031423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 33647243 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8083848 centuries to decades.\nAnswer: 8.083848","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7\/(-14))\/(6\/9))\/(52\/(-7280)).\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -3 - (6 - (4 - -4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175648 (base 11) to base 5.\nAnswer: 32132341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -361689678 divided by 1230237.\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l**5 + 643*l**4 + 11371*l**3 + 75985*l**2 + 225400*l + 250000 = 0. Calculate l.\nAnswer: -625, -5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/6 + (-76)\/(-24). Suppose 4*x + 0*d - 3*d = 8, -c*d - 4 = -2*x. Let m(n) = n**3 - n**2 + 4*n - 3. What is m(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70.01, 22, 1.\nAnswer: 1, 22, 70.01","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-18) + 1120\/63. Find the common denominator of 1 - y*(-9)\/(-4) and 1 + -1 - 95\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 196 and 5?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**5 + 12953*w**4 - 155249*w**3 - 556433*w**2 - 388230*w = 0.\nAnswer: -2, -1, 0, 15, 12941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0563 and -0.028?\nAnswer: -0.0015764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwn when three letters picked without replacement from ninnmwninnnnm?\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3711037?\nAnswer: 11, 337367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10069?\nAnswer: 10069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 3:31 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*n - 4*n - 3*n)*(2*n + 4*n - 5*n) - 7*n**2 - n**2 - 4*n**2 + (5*n - 6*n + 0*n)*(0 - 2*n + 0) in the form h*n + v + f*n**2 and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 658*m**3 - 24*m**2 + 14*m. Let p(a) = -657*a**3 + 27*a**2 - 14*a. Let n(h) = 3*p(h) + 4*t(h). Does 30 divide n(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 AM and 10:52 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 145704 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 2782.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of 2*q**4\/3 + q**3\/2 - 1225*q**2. Let x(l) = -8*l - 2. What is -3*u(s) - 5*x(s)?\nAnswer: -8*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-71)\/((-2982)\/(-28)))\/((-22)\/(-18))?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2*g - 43*a**2 - 126*a*g + 2*a - 3*g wrt a?\nAnswer: -8*g - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109244 and 46996?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50980*o + 2*o**2 - 3 - 51707*o + 5)*(0*o + o - 3*o).\nAnswer: -4*o**3 + 1454*o**2 - 4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 9:05 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*u - 81*u - 35*u + 6*u in the form g*u + x and give g.\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14 - (-3 + (-1872)\/(-112)). Which is the biggest value? (a) t (b) -251\/10 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -20147, 3, -1.3, 0.3.\nAnswer: -20147, -1.3, -2\/9, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1757845911?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84 - -72) + 1 + 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-897)\/207)\/(304\/456).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -785*c + 8675. Calculate d(11).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -39, -68, -103, -144, -191?\nAnswer: -244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -11222222?\nAnswer: 11222213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-18)\/27 + 40\/6. Let k(i) = -i**3 - 6*i**2 - 6*i - 5. Let q be k(-5). Solve 5*r - 4*c + w = q, 3*r - 1 = 5*r - 3*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139 + 130 - 2993*j - 269.\nAnswer: -2993*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13008.\nAnswer: 2, 3, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 21*k + 569. Calculate the remainder when f(23) is divided by 54.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1792 and 964096?\nAnswer: 1792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44912?\nAnswer: 2, 7, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 263 and 398708?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o**4\/7 + 612*o**3\/7 - 4750*o**2\/7 - 5364*o\/7 = 0. What is o?\nAnswer: -1, 0, 9, 298","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -48*c**2 - 84*c - 4. What is v(-7)?\nAnswer: -1768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1.63623066 times -4\nAnswer: -6.54492264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 664 and 8798.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -126\/163 or -1?\nAnswer: -126\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.3 (b) 0 (c) -5\/4 (d) -2\/23 (e) 24 (f) 0.6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554502 is divided by 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11 + 31?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 + 4. Let s be l(0). Suppose s = 3*f - 5*q + 26, -2*f - 13 = -3*q. Suppose 17 = 5*h - 3. What is the second smallest value in f, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54557849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4911?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5 + 19*d**4 + 78*d**3 + 116*d**2 + 56*d = 0. What is d?\nAnswer: -14, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -327 divided by -5\nAnswer: 327\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1057 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 180863502?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -39. Let i = v + -19. Does 7 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 - 29*g**2 + 51*g + 5. Calculate t(-16).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1396667, -1396669, -1396671?\nAnswer: -1396673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -38. Solve 4*q = 4*s - i, -3*s = -0*q - 2*q - 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2869301 is divided by 830?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (105\/(-9) + 3)*3. Let m be (44\/6)\/(t\/39). Let a(c) = -6*c**2 + 11*c - 5. Let v(z) = -z**2 + 2*z - 1. Determine m*v(i) + 2*a(i).\nAnswer: -i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/21, 1, 4, 0.1, 2\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 11*p + 53. What is the remainder when 1814 is divided by s(5)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, a: 5, l: 3, t: 2}. Give prob of picking 2 l and 1 a.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -12. Let g(w) = w**3 + 2*w**2 - w - 2. Let c be g(i). Suppose 0 = 4*l - 0*l + 4*h - c, 0 = 2*h + 4. What is the remainder when 18 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40809913 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -6\/7?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 5)*(-13*o + 6*o - 6*o)*(-1 + 3*o + 1)*(21 - 21 + 8*o)*(-1 - 1 + 0)*(4 + 1 - 3).\nAnswer: -2496*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300211 (base 4) to base 14.\nAnswer: 11c1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 94417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 14. Suppose -2*t + b*d + 5 = -15, -3*d = -12. What is the remainder when 58 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 258076581?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 734856.29 to the nearest one thousand.\nAnswer: 735000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 163131 and 36?\nAnswer: 1957572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -125670280*h*o*y - 2*o*y + o - 12430*y + 22 wrt h.\nAnswer: -125670280*o*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 288 and 192?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 4*o**3 + 9*o - 3 - 5*o**3 + 0 - 6*o**2 + 13*o**2. Let n be y(8). Suppose 0 = n*x - 10, -4*x - 16 = 5*c + 6. Is c at least as big as -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 14. Let l be q(0). Suppose 0 = 2*u - l. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 108, -9, 0, 7949, 2, 1 in ascending order.\nAnswer: -9, 0, 1, 2, 3, 108, 7949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/20 - 2\/(-10). Put 1\/4, z, -0.4, -1 in increasing order.\nAnswer: -1, -0.4, 1\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -1.11.\nAnswer: 0.444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 19 = 1. Suppose 3*c + 608 = d*c. Suppose -4*t + c = -52. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19327247 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 5 + 2)*(248*v + 779*v + 334*v) to k*v + q and give k.\nAnswer: 13610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 663479666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 3*t + 3*t)*(0*t**2 - 2*t**2 + 3*t**2) + (2*t**2 + 3*t**2 - 2*t**2)*(0 + 0 - 6*t).\nAnswer: -17*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 17*l - 75. Let a(r) = -4*r + 5. Let q(g) = 6*g - 7. Let x = -2 - -16. Let v = -7 + x. Determine l*q(d) + v*a(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2660344053 to the nearest integer?\nAnswer: 51579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 5:41 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + j + 96. Suppose -v - 2 = -2*g, -4*v - 19*g + 22*g + 7 = 0. Suppose 8 + v = 6*q. Calculate the lowest common multiple of q and a(0).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152537194 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -223.71 - 0.02\nAnswer: -223.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 15 = p, 84*o - 697 = -o - 4*p - 272 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q + 3, -g + q - 4*q = 29. Find the common denominator of 4\/g + 1 + 3675\/(-2090) and -103\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: 1\/2*14 - (72480\/36120)\/((-4)\/(-14))\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 15 + 4 + 6786 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k = 38. What is the units digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3273*w - 2. Let z = -122 - -101. Let r = -20 - z. Is j(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 4*b + 389 = -304, 0 = -3*b - 9. What is the highest common factor of 517 and w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 - 21*d - 15*d + 34*d)*(5 - 5 - 2) as c*d + j and give j.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*20\/(-160)*((-1216)\/(-744))\/(-19).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5652?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o + 22*o - 8*o - o.\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7612 (base 12) to base 10\nAnswer: -12974","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*o + 44*o - 25 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 9189523, 9189542, 9189579, 9189640, 9189731?\n\"Answer: f**3 + 3*f**2 + 3*f + 9189516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9288, -9258, -9190, -9066, -8868, -8578, -8178, -7650?\nAnswer: -6976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10691587*c + 5346576*c + 5345010*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -11 (b) 6\/19 (c) 0.5 (d) 0.01 (e) 0.1 (f) -0.4 (g) -50.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 478336140?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.225702 decades in months?\nAnswer: 507.08424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -6340 - 2920. Let u = 1999 + -354. Let h = u + k. Round h to the nearest one hundred.\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1903 - -488?\nAnswer: -1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4191)\/(-2145) + (-36)\/20?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, 4, 2, 5, -8, -114 in descending order.\nAnswer: 5, 4, 2, -1, -3, -8, -114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11 - 11 - (0 - 1). Let p be (2 + 1 + -2)*s. Solve z + 0*z - p = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 - 288*q**3 + 4*q**2 + 144*q - 526*q - 284*q**3 + 573*q**3 to j*q**3 + g*q**2 + w*q + d and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**3\/2 + 5*c**2 + 2*c - 2167. Let f(y) = 7*y**2 - y. Give f(z(m)).\nAnswer: 63*m**2 - 417*m + 690","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 265869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -24586 at least -24416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -9*y + 3. Let p(j) = 13*j**2. Calculate d(p(t)).\nAnswer: -117*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 387*w + 1159. Let y be u(-3). Sort -1, -4, 118, y in ascending order.\nAnswer: -4, y, -1, 118","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6272 and 7252.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 773.\nAnswer: 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*o - 14 = 3*o, a + 3*o = -8. Sort 10, 0.54, a, -0.5.\nAnswer: -0.5, 0.54, a, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 35 + 12)*((3*d - d - 4*d)*(0 + 1 + 2) + 5*d - 3*d - d)*(2*d - d**3 - 2*d) to h*d**2 + l + c*d**4 + o*d + f*d**3 and give c.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 + -34.1. Let j = b + -1.9000013. Round j to six dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 11 = a, -3*a = -9053*g + 9048*g - 13 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1417 or 1173?\nAnswer: 1417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 AM and 4:44 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 - 66*r + 232.\nAnswer: 2*(r - 29)*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**2\/7 + 3361340*o\/7 - 1412325824450\/7 = 0.\nAnswer: 840335","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (129 - 0)*(-52 + (-3768)\/(-72)). Solve -t = -7*f - 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 87064 to the power of 1\/2, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 7) in base 6?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q + 1423 = -270*q + 148*q - 2141 for q.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 90 = -4*c - 70, -3*x = 12. Sort 1, -289, c in descending order.\nAnswer: 1, c, -289","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2608 and 6224?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 24. Solve -8 + 3 = v*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 12) to base 13.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*5)\/(1\/2). Suppose 1 = -3*o + d. Which is the closest to -0.1? (a) 0.1 (b) -0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, u: 3, o: 1, r: 4}. Give prob of sequence or.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 3*z**2 + 5*z**2 - 2*z**2 - 1 - z**2. Let w(f) = 21*f**2 + 25*f + 7. Let m(b) = 3*r(b) + w(b). Find y, given that m(y) = 0.\nAnswer: -1, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -158*k + 918. Let z(d) = d**2 - 8*d + 15. Give z(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 4*n + 36 = 0. Let r(v) = 8*v**2 - 6*v + 2. Let c(s) = -s**2 + s. Let x(i) = n*c(i) + r(i). Let t(q) = q**3 + q**2 + 1. Give 4*t(h) - 2*x(h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z**8))*z*z\/(z\/((z\/z**8)\/z)*z*z))\/((z**(-1\/12)\/z)\/((z**(-4)\/z)\/z)))**50 assuming z is positive.\nAnswer: z**(-1475\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*n**2 + 2*n**5 - 8*n**2 - 11*n**6 - 159 - 102 wrt n.\nAnswer: -1320*n**3 + 120*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 1752 = -g - 1727, -g + 85 = 6*z for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 - 15. What is the smallest common multiple of t and (-28)\/(-84) + 34\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 0*n + 17 - n + 2*n. Let o be x(-13). Let p(i) = i + 6. Let k(q) = -q - 5. Give o*p(a) + 5*k(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -3582557.529 rounded to the nearest 100?\nAnswer: -3582600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = x + 374, 3*r = -5*x + 1082. Suppose 0*o - 3*p + r = 5*o, 0 = 2*p + 4. What is the remainder when o is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 0. Which is the smallest value? (a) -2\/15 (b) 2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - 0 - (-685 - -687) - 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(3 + -2 + 0 + (2 + sqrt(931))*5 + -4))**2*-3.\nAnswer: -2518992 - 52920*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2\/9, 182482\/17 in descending order.\nAnswer: 182482\/17, 2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45856, 91409, 136660, 181609?\nAnswer: 226256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5268 + 16638. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2982.0991 to the nearest integer.\nAnswer: -2982","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 333003330310120 - 0?\nAnswer: 333003330310120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.2 and -3.\nAnswer: 45.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 23314261?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -6133129*b**3*v**2 + 241*v**2 + v + 392 wrt b?\nAnswer: -18399387*b**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 445900 - -56?\nAnswer: 445956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 51405, 102864, 154377, 205944, 257565?\n\"Answer: 27*v**2 + 51378*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/(-3) - (-6)\/18 - -3. Let a be 26*(-2)\/q*4. Is (a\/13)\/((-4)\/(-634)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-339)\/(-8)))\/((-2164)\/1623).\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*a - 4*q, -2*a - 9 = 2*a - q. Suppose -3 + 19 = -4*m. Sort m, a, -5 in ascending order.\nAnswer: -5, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -38*z - 5572. Let d be w(47). Which is bigger: d or -7356?\nAnswer: -7356","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3 = -r, 3*q = 2*q + 4*r - 2. Suppose 0*k - 20 = q*k. Let x = k - -12. Solve 17 = u - 5*f, -3*f = x*f + 15 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -23*d**3 - 8*d**2 + 5. Let a(g) = g**3 - g**2 + 1. Let i(s) = -2*s**3 - 9*s**2 + 8. Let c(u) = -6*a(u) + i(u). What is 8*c(r) - 3*j(r)?\nAnswer: 5*r**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**3 + 7256*k**2 + 72924*k + 65664 = 0. Calculate k.\nAnswer: -9, -1, 1824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(384*m - 66*m + 143*m).\nAnswer: -922*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t - 1\/6*t**3 - 4*t**2 + 0. Let d = 8 - 12. Determine l(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33966 by 1.\nAnswer: -33966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 8\/(-5)) + (-4)\/(-10). Solve i*j = j + 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a millimeter in micrometers?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*k - 2*m, 2*k - 3*k + 2*m = -16. Suppose -f + 3 = 5. Put f, -3, k in descending order.\nAnswer: k, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 1c48cdc?\nAnswer: 1c48ce0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13\/(-65))\/(15\/(375\/(-10))).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 6 = -4*y - 4*o, 0 = -y + o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24 + 24 + 2*l)*(4*l**3 + 0*l**3 - 3*l**3) + 2*l**4 - 2*l**4 + 3*l**4 - 14*l**4 - 73*l**4 + 407*l**4.\nAnswer: 325*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 420 and 476?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -h - 12. Let n(b) = -19*b + 1. Let a be n(h). Is (-2 + 1)\/(-1) + a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 0.2 (c) -0.3 (d) -57 (e) -31 (f) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o + o**2 - 18*o**2 - o**2 in the form a + s*o**2 + p*o and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.1881 - -0.19. Let w = 0 + p. Round w to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196847 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 5*j + 354. Let g = 61 - j. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 - 4*v**2 + 5*v**2)*(9*v + 14*v + 5*v)*(0*v**2 - 2*v**2 + v**2).\nAnswer: -56*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20611 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzdddrdrdxuld. Give prob of sequence dx.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = a - 2*q, -3*q - 6 - 39 = -3*a. Calculate the greatest common factor of 280 and a.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4752 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t**3 - 822*t**2 - 1 - 832*t**2 + 1135*t**2 + 519*t**2 + 1.\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 - 7 + 0*b**2 - 5*b**2.\nAnswer: -5*b**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/9 and -86\/1353.\nAnswer: 4059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 9*b**2 + 4*b - 25. Let a be l(7). Let g = a + -92. Let j be 47\/g + (-4)\/18. Calculate the greatest common divisor of j and 55.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/7 (b) 2\/3 (c) 508 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 2:37 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 11) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d - 6. Let j be x(-6). Calculate the common denominator of ((-2)\/j)\/((-10)\/(-68)) and 0 + 2 - (4 + (-801)\/(-90)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 - 11 - 10)*(-6 + 5*a**2 + 6)*(19 + 30 + 3 - 24) in the form s + w*a + l*a**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 7*w + 3*w + 5*w - 31*w - 19 + 11*w. Calculate i(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 13*i - 174. Let n be h(18). Let c be 4 - ((-2)\/5 + 219\/n). What is the closest to -1 in -3\/4, -3, c?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27501 and 10848372?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*k - 7627 + 17254 - 9627.\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48 - 38. Does 5 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17347 and 1243?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0687538 and 73977.\nAnswer: 73976.9312462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - (-3 - -4) - 1) + -2. Let j(s) = 4*s - 2*s**2 + 0 + 3*s**2 + 1. What is j(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 8\/97949?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 24\/120 + (-3)\/(30\/(-3508)). Let s = w - 193. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (4 + -3 + -12). What is the greatest common factor of 65 and t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 4:24 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*n**4*v**3 + 8*n**4*v*x + 12*n**3*x - 8095*n**2 + v**3*x - x wrt n?\nAnswer: 3072*n*v**3 + 192*n*v*x + 72*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 957 and 6699.\nAnswer: 6699","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11218 is divided by 807?\nAnswer: 727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 238597306139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10101 (base 2) to base 3\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 5:48 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 2*v - 2*v)*(-5 + 5 - 5*v)*(5 - 2 - 2) - 40*v + v**2 + 33 + 86 + 39*v.\nAnswer: 6*v**2 - v + 119","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 914419956066 from 4.\nAnswer: -914419956062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 680, 685, 700, 731, 784?\n\"Answer: q**3 - q**2 + q + 679","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/21)\/2*175\/10\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -5*q - 425, 2*q = r + 7*q - 85. Let x = -36 + r. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 2*s + 42. Let j be m(-21). Solve -5*u - 8 - 7 = j for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 - 7. Is (2 - p) + 34 - 2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 42*w**3 - 849*w**2 + 239*w - 7. Calculate n(20).\nAnswer: 1173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1142.\nAnswer: 2, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -6*(-4*((sqrt(425) - (sqrt(425) - (sqrt(425) + 3))) + sqrt(425)) + sqrt(425) + ((sqrt(425) + -3)*4 - sqrt(425) - sqrt(425))))**2.\nAnswer: 43800*sqrt(17) + 403816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 439760?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -526 - -527. Which is the smallest value? (a) -0.4 (b) -1\/37 (c) 3\/7 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 711 + 4?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxxxxxxxxbxxbxxxxxx?\nAnswer: 40\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (2 + 0)) + (35 - (46 - 20)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470 = 4*c - 30*z, 2*c + 0*c - c + 56*z = 54*z - 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15618377867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 3 (c) 0.06 (d) -0.01 (e) 19\/62 (f) -0.024\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*n + 4356*n - 553320 = 0 for n.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*((-2)\/(-9) + 2238\/(-108)). Suppose 4*h - 162 = 114. Let w = h + -110. Is m equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 357*s - 364*s - 21 = 0. Sort 28, 1, s, -5 in descending order.\nAnswer: 28, 1, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 1. Let t(b) = b - 3. Suppose -2*x - 4 = 2*x. Let r(m) = x*t(m) - 2*n(m). What is the first derivative of r(u) wrt u?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38 - 7. Let l be 6\/12*2\/f. Suppose -2*j + 5*h + 33 = 0, 3*j - 1411*h + 31 = -1415*h. Which is the nearest to 2\/5? (a) l (b) j (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1272*-16028.\nAnswer: 20387616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/10 and (-4)\/(-6) + (1806\/(-144) - -2).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 41*b**3 - 11*b**2 - 11*b. Let m = 36 + -34. Let p(z) = -8*z**3 + 2*z**2 + 2*z. What is m*u(l) + 11*p(l)?\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 36919733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 53 and -0.05.\nAnswer: -2.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 4)*(-136)\/6. Let g = 71 - b. Let w be 2\/12 - (-5)\/(g - 13). What is the smallest value in w, -3, 0.14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 7*v**2 - 2*v + 26. Let l be g(7). Suppose 0 = 3*k - 27 + l. What is the remainder when (-2)\/(-3 + (-91)\/(-31)) is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.055679 rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*a - 15*a**2 + 12*a - 9*a**2 + 3*a**2 wrt a.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 918760 to the power of 1\/2, to the nearest integer?\nAnswer: 959","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 121211200 - 21?\nAnswer: 121211102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1531380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**29*z*z)\/(z\/(z**(-1)\/z)*z*z*z) assuming z is positive.\nAnswer: z**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25 - 166*c**2 - 4*c - 24 - 19*c**2 - 7*c wrt c?\nAnswer: -370","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2133*c**4 + 234*c**3 - 2*c**2 + 83253469*c wrt c?\nAnswer: -25596*c**2 + 1404*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.48552 rounded to one decimal place?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 48\/(-56)*1\/(-10). Let w(k) = 19*k**2 - 96*k + 4. Let h be w(5). Is j less than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(189)\/(sqrt(3) - sqrt(12)\/(sqrt(64) - sqrt(4))))\/((sqrt(81) - ((sqrt(81)*-2 - sqrt(81)) + sqrt(81)))*-2)*-1.\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/10 + (-6)\/10. Suppose 16 = -2*m - k. Is -7 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7088 and 332176462?\nAnswer: 886","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.29 + -56.21. Let p = z + 6.5. Let w = -47 - p. What is the second smallest value in 2, 0.3, 3\/5, w?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*v + 4*s + 30, 5*v = -4*s + 64. Calculate the highest common divisor of 588 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115*282.\nAnswer: 32430","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4702768 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 times -41.9715?\nAnswer: -3.35772","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82730244 by 20682561.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3971674kg in grams?\nAnswer: 397.1674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v - 56 = 2*p, -2*p = -4*v + 8161 - 8215. Calculate the remainder when (-2)\/(-5) - 536\/(-10) is divided by p.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -23.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*g - 14 - 4. Let i = -7 - g. Put i, 4, -1 in descending order.\nAnswer: 4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760239 to the power of 1\/2, to the nearest integer?\nAnswer: 1327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8915377?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 102\/(-78) + (1 - 0) + 0. Let q = 14\/39 - t. Let p = 1474\/9 - 164. What is the third smallest value in q, -4, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(77)*-3)\/(sqrt(28)\/sqrt(4)*-1))**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/6 - 14\/60?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 8*p. What is j(4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 - 159 + 20*u.\nAnswer: 20*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 232794720 and 384.\nAnswer: 931178880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + o + 1)*(44*o**2 - 28 + 33 - 24*o**2).\nAnswer: 20*o**3 + 5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -993513 divided by 3\nAnswer: -331171","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 6*k**2 + 5*k + 5. Let y be o(3). Let c be (-4 - -2)\/(-6)*(y - -6). What is the smallest value in -5, 0.2, 0, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2408 greater than or equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*s + 17 = s, 19 = 5*t - s. Suppose 0 = f - 1 - t. Solve -f = 4*b + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 7358*y - 22066. What is s(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 92, 30, -32, -94?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43 - -40. Let j(u) = 2*u**2 - 6*u + 1. Let d(b) = b - 1. Let a(y) = 5*d(y) + j(y). Let c(r) = 3*r**2 - 2*r - 5. Determine f*c(p) + 4*a(p).\nAnswer: -p**2 + 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90111998?\nAnswer: 2, 59, 101, 7561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -791*k**2 + 4*k - 2. Let p(b) = -2375*b**2 + 11*b - 5. Calculate 17*o(s) - 6*p(s).\nAnswer: 803*s**2 + 2*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38103754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 4*t - 1 + 3, 5*t + 2 = 2*h. Let n(v) = -v - 5. Let b be n(-8). Let u be ((-10)\/3)\/(-2)*15. Solve -2*q - u = -t*q - b*m, 3*q - 5 = -4*m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2608617 and 56855.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 20*q**2 - 2928*q + 61027. Give z(21).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence to when two letters picked without replacement from otooopootopoqoao.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4 - 10. Let n = -4 - -2. Let h = -3 - n. Sort v, h, 2.\nAnswer: h, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 9*f**4 - 4602*f**3 - 9249*f**2 + 4602*f + 9240 = 0.\nAnswer: -2, -1, 1, 1540\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 87 + -595. Let q = s - -320. Which is the smallest value? (a) -2\/11 (b) -1\/8 (c) q (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -38*i**2 + 12*i + 12. Determine m(-1).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 8*d - 19 - 21 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 3:44 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from {r: 14, l: 5}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 9036*c - 95965430.\nAnswer: 2*(c - 9545)*(c + 5027)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*i - 43*i + 3*x + 668 = 0, 2*i - 2*x - 334 = 0. Solve -5*y - 142 + i = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -5 + 0 + (sqrt(30)\/(sqrt(18) + (sqrt(18) - sqrt(288))))\/(sqrt(405)*2 - 5*sqrt(80)).\nAnswer: -1 + sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l**0\/l))**(16\/5)*l**4*l*l*l**(5\/6) assuming l is positive.\nAnswer: l**(301\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6557514 less than 0.18?\nAnswer: -6557513.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 8) to base 5\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 1124\/28741?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6*z + 5 - 4.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 12 + -1 + -3 - (4617 + -4633)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1613688 divided by -67237.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 93.11 and 0.7?\nAnswer: 65.177","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5508.327 litres to millilitres.\nAnswer: 5508327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 2\/3, 4, 0.064?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((6 - 102\/16)\/(9\/12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (47 + 231 + 153)*(6*q - 14 + 14) to the form a*q + t and give a.\nAnswer: 2586","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -224, -445, -666, -887, -1108?\nAnswer: -1329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i. Let l(g) = 3*g**2 + 2*g - 2. Let c(y) = -4*y**2 - 3*y + 3. Let f(n) = 2*c(n) + 3*l(n). What is f(u(h))?\nAnswer: 9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2961 + 3535 = z + 5*n, -2*z = -5*n - 12887. What is the smallest common multiple of 1491 and z?\nAnswer: 19383","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p*p**(1\/11)*p)))\/p)\/p**(2\/3))\/(p**6*p\/p**(2\/17)*p) assuming p is positive.\nAnswer: p**(-4184\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 27*z - 4 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47354 + -47352. Let z = 0.24 + -0.2. Sort -5, a, -0.7, z in increasing order.\nAnswer: -5, -0.7, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179 = 137*d - 138*d. Let y = 446 - d. List the prime factors of y.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4617829?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 535 + -529. Solve o*q + q - 35 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (40 + 4)\/(-4). Suppose -75 = 2*f - x*f. Does 3 divide (-20)\/f + 58\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -2*r**2 + 2*r - 2. Let j = -10 + 11. Let l be i(j). Let v be 7 + -7 + (l - -4). Solve -2*x - 4 = -v*p, -4*x - 2*p + 0*p = 2 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70646941 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 16 = -2*a - 0*a, 3*a = j + 24. Let c(u) = -u**3 + 9*u**2 - 7*u - 3. Let p be c(a). Solve 4*d + 3 = p*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (44307\/36)\/((-2)\/((-48)\/(-9))). Let d = w - -82062\/25. Is d equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -550231 - -34667471\/63. Let d = 615\/14 - r. What is the common denominator of 23\/6 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 11*c**2 - 2 + 67*c**3 + 5.\nAnswer: 67*c**3 + 11*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + t + (4*t - 7*t - 3*t)*(0 + 2 + 0) + 6 + 2*t + 28 - 12 in the form f + s*t and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000596882 rounded to 6 dps?\nAnswer: -0.000597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56\/281 < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3542400 to the nearest 1000.\nAnswer: 3542000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1)\/(-7))\/(1\/(-2)). Let d = -0.276 - 17.424. Let v = -18 - d. What is the third biggest value in p, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 21*d**2 + 619*d - 921. Suppose u + 73 = 2*l, 77 = 2*l + 6*u - 3*u. Calculate the remainder when w(-31) is divided by l.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59*v = 53*v. Let z be 1*(-5 + 7 + -1)*v. Let d(u) = -u + 10. Calculate d(z).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -1. Suppose 2 = 4*d + 6. Let t(g) = -9*g + 15. Suppose 335*v - 122*v = -3195. Determine d*t(q) + v*s(q).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 6 = -15. Let v be 2\/(21\/6 - w). Solve v*g + 3*m = -23, -g + 2*m = 3*m + 7 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10025045 divided by 74?\nAnswer: -10025045\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -52.0199 + 52. Round n to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 9:03 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26312)\/(-184)*9\/(-39).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 317159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of 2 - 7 + 3 - l**2 - 2. Let b(u) = 3*u + 0*u - u. Give i(b(w)).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 - -220?\nAnswer: 224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 195 and 28.\nAnswer: 5460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282689, 282172, 281313, 280112, 278569, 276684, 274457?\nAnswer: 271888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 8 + 6)*(-k - k + 0*k)*(14 - 5 - 32)*(-4 + 3 + 4)*(-2 + 6 + 0).\nAnswer: -1104*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 - w**3 + 191 + 117 - 22.\nAnswer: -w**3 + 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-2 + (-4 + sqrt(1872)*3 - (-4 + sqrt(1872)*-1)))*-3 + 0)**2*6.\nAnswer: -10368*sqrt(13) + 1617624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-79 - 317 - 2174 - 1501 - 472)*(8*a - 8*a - 3*a**2) in the form r + g*a + f*a**2 and give f.\nAnswer: 13629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s**2 - s + 1. Let u(z) = 188*z**3 - 470*z**2 - 10*z + 11. Let p(x) = -22*l(x) + 2*u(x). Find the third derivative of p(w) wrt w.\nAnswer: 2256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -20123, -20122, -20121, -20120, -20119, -20118?\n\"Answer: v - 20124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - -6)\/(-1) - 9. Let t = i - -14. Suppose -3*u = 5*j - 0*j - t, 4*j + u - 5 = 0. Calculate the highest common divisor of j and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - (-13 - 4))*1. Suppose u - y = -2. Calculate the highest common factor of u and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -46*o + 0*o**3 + 3\/4*o**5 + 0 + 0*o**4 - 35\/2*o**2. What is the derivative of w(y) wrt y?\nAnswer: 45*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 2. Let a(z) be the second derivative of z**3\/2 + 5*z**2 - 8*z. Let g be a(-4). Determine r(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2277644*d - 805 = 2277679*d for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1b + 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n = -3*n - 20. Suppose 6 = -n*k - 4. Let x = -5 - -5.1. Put k, 2, x in decreasing order.\nAnswer: 2, x, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.9753 + 0.9753. Which is the nearest to r? (a) 3 (b) 1\/4 (c) -2 (d) -7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.67 - 0.7. Let l = d - -0.03. Let a = 0.1 + -0.1. What is the closest to l in a, -2\/7, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 24*s. Let g(t) = -8*t. Calculate g(q(n)).\nAnswer: -192*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*p - 152*p = -17556. Solve -c - p = -78 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -139, -128, -103, -58, 13, 116, 257, 442?\n\"Answer: t**3 + t**2 + t - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from agagagaaaaaaaagg. Give prob of picking 1 g and 3 a.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 4*z**2 - 7*z + 1. Let m = 44 - 39. Let a(h) = -6*h**2 + 11*h - 2. Let u(c) = m*a(c) + 8*k(c). Let p(j) = -1. What is 2*p(x) - u(x)?\nAnswer: -2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 179789 - 32568 = 5*k, -2*k - 3*p = -58868. What is the ten thousands digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.3 - -26. Let d = 62 + -61. Let a be 0 - d\/((-27)\/(-2))*3. What is the nearest to s in a, -5, 7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**3\/2 - 15*v**2 + 57*v\/2 - 14 = 0.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7509 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1425)\/(-1520)*(-4)\/10?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5*5\/1. Suppose -5*m + 4*r - r = -16, 4*m - 5*r - 5 = 0. Solve 0 = s - m*j - v, s - 2*j - 3 = -4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/11 in 0.2, 0, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 37 and 407.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-390)\/80)\/((-1)\/8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 589582 is divided by 5039?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2807 + -63.5993. Let m = 63.877027 + p. Round m to four decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65949 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 92 - 135. Let l = 75 + j. What is the remainder when 92 is divided by l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2601.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -17, -14, -9, -2, 7, 18?\n\"Answer: z**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 714 = -k, -5*k + 3*m + 3492 = 4*m. Let q = 1203 - k. Does 21 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -d - 4*w, 3*w = 3*d + 4*w - 685. Calculate the highest common factor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4676598 = 22*x - 4678512 for x.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o**3 - 4*o**2 - 14*o - 1. Determine d(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -6.6. Let l = -0.42 - -0.12. Which is the third smallest value? (a) l (b) x (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -23776*o**2 + 16409*o**2 - 8999*o**2 in the form y*o + b*o**2 + w and give b.\nAnswer: -16366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40.9 + 66.556. What is v rounded to 1 decimal place?\nAnswer: 25.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.2, -11, -3, 80, -1\/11 in ascending order.\nAnswer: -11, -3, -0.2, -1\/11, 2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 162757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 - 3*y**2 - 11*y - 9. Let r be (11 - 4) + 1 + (-2 - -4). Suppose -2*o = m + r, -o = m + 2 + 5. Is n(o) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.14 (b) -0.4 (c) 3\/8 (d) -1646 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5.220323 nanograms?\nAnswer: 0.000000005220323","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 3 + 3 - 15*t**2 in the form x + q*t + g*t**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**3 + p - 2. Calculate v(-2).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 292865 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in 3, -5\/6, 2\/11, -2\/63?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4063?\nAnswer: 17, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1012 + -45?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4032.7 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -60926572\nAnswer: -12185314.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -310, 0.003, 5 in increasing order.\nAnswer: -310, 0.003, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20.43629 centuries to decades.\nAnswer: 204.3629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -72 by 11202.\nAnswer: -12\/1867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3704 - 381508\/103. Let g be 2\/(-24) + 7075\/(-43260). Let t = n - g. Are 6 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7514, 15260, 23008, 30758, 38510, 46264, 54020?\nAnswer: 61778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - m = -3*c - 9, -5 = -3*c - 2*m. Suppose -2*b - b = -5*p - 13, -2*p - 22 = 3*b. Put c, -2, b in ascending order.\nAnswer: b, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153\/2*l**4 - 483*l**2 - 12 - 101\/2*l**3 - 158*l = 0. Calculate l.\nAnswer: -2, -2\/9, -2\/17, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 25 = 2*i, j - 6*j + 4*i = -45 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k + 3. Let d(n) = 2*n + 2. What is -5*d(f) + 3*s(f)?\nAnswer: -f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 982 a factor of 291864988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -917 + 2460. Is 9 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 23. Let j(n) = n**3 + 5*n**2 - 8*n - 6. Calculate the remainder when i is divided by j(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24198 is divided by 545.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 21699.597 months in years?\nAnswer: 1808.29975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 916907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 158116225639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**5 - 4*s**4 + 100*s**3 + 148*s**2 - 240*s = 0.\nAnswer: -4, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 904 and 263816.\nAnswer: 29811208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73533 is divided by 36743?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -1\/3 (b) -4\/5 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + -2.04. Let h = 2.04 + r. Let x = -3 + h. What is the second biggest value in x, -2, -0.5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 408 divided by -24\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15427 is divided by 3488?\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**2 + w - 3*w**2 + 0*w + 3*w. Let s(o) = -2*o**2 - 9*o. Suppose 0 = -3*g + 3*k, g - 4*k = -7*k - 16. What is g*s(x) - 9*z(x)?\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1734 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 25 and 1?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*s - 102, 2*c - 2 = 4*c. Solve 4*l + 0 + s = 4*o, -3*l = o - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -31615, 3, -2 in descending order.\nAnswer: 5, 3, -2, -31615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -37*p + 235*p - 169 - 227 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 - s + 26. Let x be t(0). Let i(r) = -r**2 - 9*r + 9. Let v be i(-5). Let u = v - x. Solve 0 + 6 = -u*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**2 + 8*x**2 + 84*x**2 + (0*x + 0*x - 2*x)*(-4*x - 5*x + 4*x)*(-19 - 9 - 6).\nAnswer: -244*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d - 6. Let m be u(10). Solve -m*x - 1 = 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -279 = -u + 10. Let y = -65 + u. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, n: 2, u: 1, q: 2, i: 1, f: 1}. Give prob of sequence mq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/134705 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/61 (b) 2\/11 (c) -6\/17 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 132*s - 47*s - 59*s + 14*s**2 - 53*s + 143*s**2 to the form u*s**2 + f*s + n and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2378 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 284.\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyayyaaaayyyayyaaa. What is prob of sequence yaya?\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00267178 to 4 decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (-8 - 6 - -5)) + (-5 - 0)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-63)\/(-9)*4\/(-5). Which is greater: s or -6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 44149049*y - 1309295 wrt y?\nAnswer: 44149049","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.26 to 1 decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 50042 or 150125\/3?\nAnswer: 150125\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*l*w**2 - 77*l*w + 3410*l + 2*w**2 wrt w.\nAnswer: 6*l*w - 77*l + 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*b + 681106 + 140001. Let a be b - (-8)\/72*-9. What is a rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6456 + -9658. Is 6\/((-3)\/(-1)) + c\/(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2140?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27*c**3 - 483*c**2 - 11846*c wrt c?\nAnswer: 162*c - 966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 7*q**2 + 10*q + 9. Let l be g(6). Let m(c) = -c - 10*c - l*c. Let x(y) = y. Calculate m(x(r)).\nAnswer: -44*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 70*z - 906. What is i(-14)?\nAnswer: -122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 3*t + y - 4, -5*y = 5. Let f = -11 - -2. Let p be ((-3)\/f)\/((-4)\/18). Does t = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 341*u**6\/6 - 127*u**3\/3 - 625. Find the third derivative of y(r) wrt r.\nAnswer: 20460*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.291 - 1.39. Let v = i + 0.11. Let f = 0.0110114 - v. Round f to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/14 and (-2)\/2 + 660\/108.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1252 is divided by 315.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 65*s**3 + 4*s**2 + 104*s - 205. Let g be c(2). Solve -g*x + 6 = -536*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1804*k**6 + 3444*k**2 wrt k.\nAnswer: 216480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 815, 3428, 7933, 14336, 22643, 32860, 44993, 59048?\n\"Answer: q**3 + 940*q**2 - 214*q + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 3 - 11 + 2*z**3 + 26.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 0.2. Let d = f + -0.9. Which is the closest to d? (a) -2\/7 (b) 0 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.1894283 micrometers?\nAnswer: 0.00001894283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 284*n**3 - 4*n**2 - 2*n + 1. Calculate o(-1).\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 28 + 10 = 0. Let j(k) = -7*k - 26 + 52 + 9*k**3 - o. Let i(d) = 4*d**3 - 3*d + 3. Calculate -7*i(a) + 3*j(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -2. Let b(s) = 7*s - j - 4 + 2. Is b(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 720.8558063 rounded to the nearest ten?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ixxtyxxxxyxxxixx. Give prob of sequence yxyi.\nAnswer: 11\/10920","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -3, -2\/7, -3\/4, 1\/23?\nAnswer: 1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 13.16\nAnswer: -65.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 5*s = -683, u - 58 + 219 = 2*s. Is u at least -160?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 433 * -11619.\nAnswer: -5031027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dxxxdxx. Give prob of sequence dxxx.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 32\/215 - 2\/129. Which is the second smallest value? (a) w (b) -0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0008656 to five dps.\nAnswer: -0.00087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 0, 4*m - 14 = 2*b + 10. Let i = m + -5. Let v = 14 + i. Calculate the highest common divisor of v and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -16571?\nAnswer: -4\/16571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -43 + 46. Suppose -b*j = -5*t - 304, -2*t = 4*j - 101 - 261. Let h = j - 71. What is the highest common factor of 55 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 66, 128, 190?\n\"Answer: 62*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*n + 43*n + 3185 = 0. Let h = 411 - n. What is the remainder when h is divided by 43?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1\/631, 47 in descending order.\nAnswer: 47, 1\/2, -1\/631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*w - 28*w = -204. Solve -13 = 9*c - w for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-220)\/(-1584))\/((-6)\/(-27))*8\/2.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (11064\/16)\/((-76)\/(-16) - 4) is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**2 + 12*x - 41. Determine q(12).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 1105*p**2 - 14*p - 4226. Let j(z) = 1104*z**2 - 16*z - 4226. Let f(q) = -7*a(q) + 6*j(q). Differentiate f(c) wrt c.\nAnswer: -2222*c + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 4:57 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*k - 3*k - 3*k**2)*(6*k**2 - k**2 - 3*k**2 + (0*k + 0*k + 11*k)*(0*k - 2*k - 4*k)) in the form v*k**2 + i + w*k**3 + r*k + s*k**4 and give s.\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 341217289?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 36\/(-6) + 432\/81. What is the second biggest value in -21, j, -1\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -37. Suppose 5*a = 9*a + 4. Let m = a + 6. Put 2, m, o in decreasing order.\nAnswer: o, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 55 = 11*f. Let q(m) = -2 + 1 + 5 + 2*m. List the prime factors of q(f).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 - 5. Let v be g(-4). Let a be 3\/(-2 - v\/(-12)). Let k(i) = i**3 - 6*i**2 - 4*i + i**2 + 8 + a*i - 2*i**3. Determine k(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.62 - 4.62. Let s = -5.002 - -0.002. What is the closest to 0 in s, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-10 - (1 + 5 + -7 + 34)).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19749?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 4*a**2 + 5*a - 2. Let j be t(-4). Suppose j = 3*p - 63. Let x = p - 21. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/20 and -41\/686?\nAnswer: 6860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.038 - 4.962. What is the smallest value in r, 5\/4, -2.6?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 1330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3.6+66\nAnswer: 69.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -103656653, -207313300, -310969947, -414626594?\n\"Answer: -103656647*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41860?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/2 + 6354*i**4 - 468929*i**3\/2 + 646219*i**2 + 25410*i - 861628 = 0.\nAnswer: -1, 2, 34, 12671","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -9*i - 2*i + 11*i - i**2. Calculate r(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -248 + 358. Suppose 6*s - s = b. Does 9 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*n + 16*n - 21*n to the form a*n + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**2 + 10*j + 25. Let p be k(9). Suppose 5*m - p = -9. Solve -3*c = r - 3*r - 13, -m*r - 20 = 5*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3226, -3898, -4998, -6520, -8458, -10806, -13558?\n\"Answer: j**3 - 220*j**2 - 19*j - 2988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -3. Let o(p) = 4 - 198*p + 79*p + 59*p + 61*p - 1. Let b(a) = 2*a + 6 + 5 - 4. Calculate g*b(w) + 5*o(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -330, -328, -324, -318, -310?\nAnswer: -300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2701*v - 19790 = 49882 - 18353 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 17690579.\nAnswer: 141524632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 AM and 5:21 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(-9)*(-2 - 4). Suppose 3*h + r*h + 5 = 0, -3 = -o + 4*h. Let u = 134\/3 + -130\/3. Sort o, -1\/4, u in increasing order.\nAnswer: o, -1\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*k + 198*k = -5*w + 8441, 0 = -w - 5*k + 1677. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -5. Let p = h + -2. Suppose -4 + 12 = p*n. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-380)\/95)\/(6\/(-9)*(-6)\/(-13))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 0.5 (c) 0.01 (d) 5 (e) -2 (f) -27\/19 (g) -2\/3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 250 and 12100?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zpz when three letters picked without replacement from {z: 5, p: 14}.\nAnswer: 140\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**3 + 222*q**2 + 8929*q + 16962 = 0?\nAnswer: -33, -2, 257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, -35, -0.3 in increasing order.\nAnswer: -35, -0.3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**5\/4 - 99*y**4\/4 + 543*y**3\/2 - 1947*y**2\/2 - 1089*y\/4 + 3993\/4 = 0.\nAnswer: -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.064 + 0.036. Which is the nearest to s? (a) 3 (b) 5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 1 = 4*c - 7, -3*c + 2 = -5*h. What are the prime factors of c\/(-1 + 3 + (-9464)\/4746)?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1176\/4)\/((-10934)\/3124)?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express f**2 + 2 - 3*f**2 + 0 + (-3*f + 4*f + 0*f)*(-9*f + 2*f + 4*f) as o*f**2 + l + b*f and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53613606 + 4*i - 139*i**3 - 4*i + 53613606.\nAnswer: -139*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -44, -45, -48, -53, -60, -69?\n\"Answer: -l**2 + 2*l - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*w + 5140 = 4*c - 4*w, -3*c + w + 3855 = 0. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -1, -2, 2\/3, -5\/2, -7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36.158 + -50901.158. Let w = -50865.120745 - i. Let v = -0.121 - w. Round v to 5 dps.\nAnswer: -0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -74, -211, -474, -905, -1546, -2439?\nAnswer: -3626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.15 * 0.205798.\nAnswer: 0.0308697","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 11 - (-3 + (11 - 16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/259653 and 71\/15?\nAnswer: 1298265","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/64 and 13\/48?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t + 20. Let a be o(-15). Solve 2*d + 16 = -a*z, z + 4*d = -0*z + 4 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + a + 2*a - 328, 66 = -n + a. Let o = n + 163. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0300364 to four decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 + 44 = -7*g - 7 for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 899968 is divided by 151.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bud. What is prob of picking 1 b and 1 d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 - -0.3384.\nAnswer: 0.4684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1196 - 656. Suppose 0 = 79*a - 85*a + w. Is a a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2 - 235*b - 3367. Let u(h) = -234*h - 3366. Let g(m) = 2*r(m) - 3*u(m). Solve g(q) = 0 for q.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -283 - 64*w**2 + 283 as a + d*w**2 + n*w and give d.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9308269?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 69a + -5?\nAnswer: 695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 6686*k**3 + 13388*k**3 - 6861*k**3.\nAnswer: -159*k**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 7*d**2 + d + 9. Let a be b(-7). Suppose h = 5*n + 1, 3*h + 3*n = -6 + 27. Solve -h*l = -4*l + a*v, -4*v = -16 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) -0.0093 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 6*x + 13. Let q be t(-7). Let d be q\/(-9) - (-34)\/6. Suppose y - 1172 = -3*o, -d*o + y + 206 = -1734. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -120 - 206?\nAnswer: -326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.72463 rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*m**2 - 15*m - 612 = 0. What is m?\nAnswer: -12, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 869526 by 9.\nAnswer: 96614","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5) - 4\/20\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 112*x**2 - 1568*x.\nAnswer: -2*x*(x + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 + 33. Is 1*4 + z + 8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118522 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 12\/(6\/(-2)) + 3. Let n be m - ((-4)\/10 - 1). Which is the second smallest value? (a) 2\/17 (b) n (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99 is divided by ((-76)\/95*4)\/((-2)\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*j + 4613. Let f = 2618 - j. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*r**2 + 5*r**2 + r**2)*(15 + 15 - 9) + r**2 - 2 + 2)*(2 + 1 - 5)*(18 + 1 - 4)*(4*r + 0*r - 6*r).\nAnswer: 7620*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8.9 + 9.1. What is the fifth smallest value in -4, 5, 3, 9, j?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 821508554 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x when two letters picked without replacement from {v: 1, x: 2, u: 1, q: 3, m: 5}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 3.4\nAnswer: -10.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1.5*-0.152\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3213, -3174, -3127, -3066, -2985, -2878?\nAnswer: -2739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (-40 - -34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -201222202110 (base 3) in base 14?\nAnswer: -a357d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2441\/978 - -2\/489. Sort 5, -2\/3, h in decreasing order.\nAnswer: 5, h, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.265685 rounded to three decimal places?\nAnswer: -4.266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -401.668 rounded to the nearest integer?\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i + 3. Let p(b) be the third derivative of b**5\/60 - 7*b**4\/24 - 5*b**3\/6 + 224*b**2. Determine 7*d(n) + 4*p(n).\nAnswer: 4*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 2*k + 0*k = -50, 4*n + 2*k = 102. Suppose 42 = -24*b + n*b. Is (-4)\/(-14) - (-99)\/b even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b - 3*b + 2*b)*(-5*b**2 + 3*b**2 + 6*b**2)*(4*b - 4*b + 6*b) as u*b**4 + q*b**3 + t*b + o + k*b**2 and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11*m**2. Let q(f) be the second derivative of -f**3 - f - 15. Determine z(q(a)).\nAnswer: 396*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -185*p**4\/2 + 745*p**3\/2 + 905*p**2\/2 - 25*p\/2 = 0. What is p?\nAnswer: -1, 0, 1\/37, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -11\/2*v**2 + 0 + 15*v + 2*v**3. What is the units digit of s(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.84, 2, -0.2, -4, -4\/11?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*a + 0*a + 2*a)*(2 + 3 - 3) + 266 - 189*a + 378*a - 190*a.\nAnswer: -3*a + 266","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o**4 + 2*o**4 + 4*o**4)*(26*o - 5 - 10*o - 14*o).\nAnswer: 12*o**5 - 30*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -u**2 + 773*u - 136945. What is t(275)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m - 27 - 33 = -0*m - 5*i, 12*m - m + 4*i + 79 = 3*i for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + k + 4. Let l be s(0). Let r be (-1868)\/(-18) - l\/(-18). Suppose t = 4, 0*q - t - r = -3*q. Calculate the highest common divisor of 90 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, v: 1, w: 1, a: 1, z: 1, k: 2}. What is prob of picking 1 a, 1 m, and 1 z?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 57672 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30660326?\nAnswer: 2, 137, 149, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 4*h + 147 = 0, -4*z = -z - 3*h + 168. Let j = z + 74. What is the highest common divisor of 21 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51 - 50. Let i be 3\/6 - (-129)\/12. Determine r so that 6*r + i*r**2 + 25\/4*r**3 + j = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155263017 divided by -3168633\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124283, 124290, 124297, 124304, 124311, 124318?\nAnswer: 124325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -670 + 633. Let q be 35 + k - 258\/(-9). Factor 5\/3*n**2 - 40\/3*n + q.\nAnswer: 5*(n - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**10*o)*o*o**(2\/25)\/o)**37*((o*o*o**3\/o)\/o**5)\/(o**2)**(2\/31) assuming o is positive.\nAnswer: o**(-285331\/775)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1656 - 1638 = -9*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -6*v**2. Let b(u) = -5*u + 18. What is b(a(f))?\nAnswer: 30*f**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vavvvavvv. Give prob of sequence avv.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t**3 + 57*t**2 - 27*t - 22. What is the remainder when f(13) is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 2, -3, 409, -2 in descending order.\nAnswer: 409, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 57 - 54. Solve -c*d + 2 = -2*a + 3*a, -3*d = 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.06 - 0.04. Let g = -7995 - -8003.5. Which is the smallest value? (a) v (b) -4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-109*(-10)\/6)\/(9\/27)?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 34. Suppose 3*g - 3 = -3*r + o, 0 = 2*g - 6. Solve 2*p = -r - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2 + 45*y + 2. Let w be p(15). What is the second derivative of w*g - 3*g**4 - 36 + 190*g**5 - 199*g**5 - 3*g wrt g?\nAnswer: -180*g**3 - 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7.16 + -8.16. What is the second biggest value in -90, 0.2, z, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -338894070, -338894074, -338894078, -338894082?\nAnswer: -338894086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/2 + (6 - (-8 - 2))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(3\/4))\/s**(-2))\/(((s\/(s**(5\/4)\/s))\/s)\/(s*s**7))*(s**2)**(-2\/23)*s\/(s\/(s**(3\/8)*s))*s*s\/s**(-2\/19)*s assuming s is positive.\nAnswer: s**(51763\/3496)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -8*n + 16. Let a be y(1). Calculate the highest common divisor of 10 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -782 - -904. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 5*r + 4. Let c(y) = 8*y**2 - 21*y - 17. Give -2*c(s) - 9*p(s).\nAnswer: 2*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*b - 1830 + 8326 for b.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5144321 is divided by 80380?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**3 + 12*u**2 + 4*u + 3. Let o(p) = -4*p**3 + 11*p**2 + 3*p + 2. Let s = -4 + 10. Let d(v) = s*o(v) - 5*w(v). What is d(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3175603 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -75\/7? (a) 2 (b) 0 (c) -5 (d) 8\/7 (e) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 39 - 38 - (-1 + 2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6988947 and 438?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or 14094?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -433 (c) -0.9 (d) -1.21 (e) -6 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 + 7*l - 3. Suppose -12 = 3*d + 12. Let g be q(d). Suppose -37*h = -55*h + 108. Solve 0 = g*n + h + 9 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 1375990473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 - 5*w - 22. Give n(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16.4 - 14. Let y = v - 0.4. Let f = -1.999993 + y. What is f rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 43836?\nAnswer: 49\/43836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 i when three letters picked without replacement from iddidiuuudi?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 10:46 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -3, 15, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/28 and 131\/88728?\nAnswer: 621096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 619684730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 35101 + -62?\nAnswer: 35039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011110111101 (base 2) to base 5.\nAnswer: 311143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/12 - 14254\/4278)\/6. Let n = r - -11\/23. Is -1 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.12 and -3628018.\nAnswer: 435362.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120915329.\nAnswer: 3511, 34439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 13329896693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15964735 < 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (461*a**2 + 47528 - 47528)*(-2*a + 8 - 7 - 1 - 127*a).\nAnswer: -59469*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 9*g**2 - 9*g + 11. Let a be b(8). Suppose 4*j + 29 = a*k - 63, 3*k + j - 112 = 0. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (112\/12)\/((-1656)\/(-405) - 4) is divided by 99.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*0\/(-3 + 1). Suppose -j + 11 + 5 = l. Suppose 0*r = -2*r + j. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/4*16884\/16415*(4 - 9 - -26). Let h be -3*-4*(-1)\/(-3). Suppose 21\/5*k**h + 6*k**3 + 3\/5*k**5 - 54\/5*k**2 - p*k + 81\/5 = 0. Calculate k.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4207 - -4207.21245. Round a to 3 dps.\nAnswer: 0.212","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 12*r**2 + 11*r + 26. Let b be l(-11). Let n(c) = -c**3 + 6*c**2 + 4*c - 6. Let a be n(5). Let h = a - b. What are the prime factors of h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.23 * 0.0295.\nAnswer: -0.006785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4*n = -17 + 2, 25 = 5*l + n. Solve 0 = -d + 3 - l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (76\/35 + -2)*(-644)\/(-138).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 75988492.\nAnswer: 2, 83, 228881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 - 5*q**2 - 4*q + 7. Suppose -o + 3*o = 10. Let y be w(o). Which is bigger: 2\/5 or y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (23*x**2 + x - 237 + 237)*(x - x - 3*x) in the form c*x**2 + b*x**3 + t*x + a and give b.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 7 + 3, -5*s + z = -279. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 356*f - 3907. Let w be z(11). Solve -x + m = 7, -12 = 3*x + 3*m + w for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = q + 2*q + 11359, -5*q = -3*v + 8522. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21442429 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90788 or 90785?\nAnswer: 90785","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 3*p + 3, 2*u + 23 = -87*p + 104*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 31*q**2 - 4*q + 2617. What is the tens digit of c(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c + 5. Let b be a(-3). Let p be (b\/(-8))\/((-5)\/(-6)). What is the second smallest value in 0, p, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -117*n - 1051. Let w be l(-9). Are w and -186 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(4\/7)*y))\/(y\/y**(2\/47)*y*y*y) assuming y is positive.\nAnswer: y**(-1490\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41618790?\nAnswer: 2, 3, 5, 163, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1677008726 to the power of 1\/2, to the nearest integer?\nAnswer: 40951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 314783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1244\/23? (a) 1\/7 (b) -5 (c) 3\/7 (d) 5 (e) -194\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a (base 15) to base 7.\nAnswer: -34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven thirds of a minute in seconds?\nAnswer: 1340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/101461 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6529*f**2 - 253*f**3 + 6529*f**2.\nAnswer: -253*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10388 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 6, 2, -0.4 in decreasing order.\nAnswer: 6, 2, 1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2*i + 3*i - 4)*(-i + 6*i - 3*i + (-1 + 1 + i)*(1 + 4 - 4) + 3*i + i - 2*i - 3*i + 0*i + 5*i) as s*i**2 + f*i + g and give f.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 305 a factor of 4602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*q**3\/5 + 1914*q**2 + 554007*q\/5 - 112716 = 0. Calculate q.\nAnswer: -3131, -60, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**2. Suppose 0*p - 14 = -3*d + 2*p, -4*d + 3*p = -20. Let h(w) = 0*w**2 - 4*w**2 + 5*w**d + 0*w**2. Give g(h(z)).\nAnswer: -5*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = f - 5*f. Solve j - 2*j = -f for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(1\/3))**(-6)\/(b\/(b*b*(b\/((b*b**(1\/9)*b)\/b))\/b*b)*b*b*(b**(2\/9)*b)\/b)*((b\/(b\/(b*b*b**(2\/5)*b))*b)**22)**(1\/4) assuming b is positive.\nAnswer: b**(223\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*i - 4*m - 16, -4*i - 35 = m - 26 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10621860 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 3*m**3 - 4*m**2 - 4*m + 4. Let c(i) = 63 + 18*i - 81*i - 63*i**2 + 14699*i**3 - 14650*i**3. Give -4*c(g) + 63*p(g).\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.5 - 1.58. Let f = 0.42 - r. Suppose -3*q = 1 + 2. What is the nearest to q in -0.4, f, 3\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237448356?\nAnswer: 2, 3, 61, 227, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gwrpwhppwwprppwphpg. What is prob of sequence wh?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l - 0*q - 4*q - 22, -l + 3*q = -11. Is -4 + 9 + 4\/l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142217965.\nAnswer: 5, 28443593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101001000001 (base 2) in base 3?\nAnswer: -100012221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i - 20. Suppose 44 = 10*m + 24. Let z(g) = 6. Let q(x) = m*h(x) + 6*z(x). Calculate q(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -31 - -1e?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*s**2 - 20*s**2 + 44*s**2 + s**2 + 0 + 0 + (-4 + 4 - s)*(-4*s + 4*s - s) + (9*s + 7*s - 2*s)*(2*s - 2 + 2).\nAnswer: 66*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 928 is divided by 58?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 13634518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*y - 14, -y + 12 = 4*u - 6. Suppose u*n = 34 + 11. Suppose 2*g - g = 3*w - n, g = -2*w + 6. Solve -w = 5*d + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 7:28 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-1))\/t**4)\/(t**4\/(t\/(t*t*t*t*t**1)))*((t**(1\/4))**(8\/17))**(-2\/97) assuming t is positive.\nAnswer: t**(-19792\/1649)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 2*g**2 + 2*g + 8*g**4 + 14*g**3 + 2*g**3 + 8*g**2 = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 80*q**2 - 12*q - 24. Let t(f) = 32*f**2 - 5*f - 10. Let x(n) = 5*l(n) - 12*t(n). Let v(a) = 22*a**2. Give v(x(o)).\nAnswer: 5632*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**7\/14 - t**3\/3 + t + 3. Let q(s) be the first derivative of r(s). Find the second derivative of q(h) wrt h.\nAnswer: 60*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 3720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence so when two letters picked without replacement from {k: 1, h: 1, s: 5, g: 3, o: 3, l: 4}?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*g**3 + 4*g**4 - 15*g + 5*g**3 + 3*g wrt g.\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -2, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u*u\/u**(1\/2)*u))\/(u**(-2\/15)*u*u)*(u*(((u*u**(-1\/5)\/u)\/u)\/u*u*u)\/u)\/u**(-1\/6))\/((u**4*u)\/u**(2\/3)*(u**(-3\/7)*u)\/u*u**2) assuming u is positive.\nAnswer: u**(-977\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 72 = -3*a + 22, 2*a = -5*p + 54. What is the greatest common divisor of a and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 465*a**3*j**6 + 2*a**3*j**3 + 2*a**3*j**2 - 41*a*j**2 + 3*j**2 + 3*j wrt j.\nAnswer: 55800*a**3*j**3 + 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, o: 1, k: 1, m: 2}. What is prob of sequence yoy?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 times 0.046109\nAnswer: 0.46109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u - 36. Determine j(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) - (sqrt(132) + -2*sqrt(132))*-5)\/(sqrt(1452)*-3)*3.\nAnswer: 4*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5689, 11378, 17067, 22756?\nAnswer: 28445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -39*c + 5*c - 204 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-80))\/((-2)\/(-8))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 129093 and -139.149721?\nAnswer: 129232.149721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 38\/(-171) - (232\/18)\/(-4). Solve -z = -2*s + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2 - 65*x + 125. Give z(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12798 and 324?\nAnswer: 25596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -20 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.025 + -0.225. Let m = 17\/2 - 9. What is the closest to m in 2\/9, -2\/9, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = 10*b + 11. Let l(k) = k - 3. Let m(o) = 3*o - 8. What is b*m(x) + 8*l(x)?\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 217211769491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 183, 180, 179, 180, 183, 188, 195?\nAnswer: 204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) 0.2 (c) 110 (d) 4\/7 (e) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 6*j**2 - 4*j + 5. Determine f(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 4*r**2 + 6*r - 4. Let v be p(-5). Let n = v - -102. Is 24 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and -123519.\nAnswer: -617595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 10\/55 + (1 - (-339)\/(-231)). What is the nearest to -36 in 1, 0, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/12)\/((-2)\/40). Let c = 46 + -31. Let o = 45 - c. What is the greatest common factor of s and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 5*x - 94, 10*x - 102 = 5*x - 3*u. Suppose 3*r = 37 - 118. List the prime factors of (-222)\/r - 4\/x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 1 d when three letters picked without replacement from {f: 2, w: 1, d: 1, o: 8, x: 2}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -456, -2\/7, 6, 1\/3, 260, 10.7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135 - 131. Let j(d) = -d**2 - 11*d + 14. Let r be j(-11). Let q be -2*(-3 + i) + r. Solve 2*y - q = 6*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48 - 62) + 28 + 1\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 77 or 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -5*l - 93, 0*l + 18 = -19*s + 6*s + l for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p**2 + 26276957 - 26276957.\nAnswer: -21*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - y + 6. Find the second derivative of -6*h + 13*h**4 + 8*h**2 - 9*h**y + h**2 wrt h.\nAnswer: 156*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8006 divided by -268.\nAnswer: -4003\/134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ojsbopbtjptobb. Give prob of picking 1 b, 2 j, and 1 s.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21812185?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 298 and -3789.1?\nAnswer: 4087.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -7*o**5\/10 + 103*o**4\/8 + 87*o**3\/2 + 185*o**2\/4 + 17*o - 485. What is i in t(i) = 0?\nAnswer: -1, -2\/7, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l**3\/9 - 170660*l**2\/9 - 341432*l\/9 + 1365344\/3 = 0.\nAnswer: -6, 4, 42667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the second derivative of -m**5\/20 + 3*m**4\/4 - 5*m**3\/3 + m**2 + 3*m - 1. Let i be p(4). Round i to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.2 + 8.2. What is the second biggest value in -1, k, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-27\/2)*z)\/z)\/z*z*z**(-19)*z*z)\/(z**(-7)*z**(-5\/8)) assuming z is positive.\nAnswer: z**(-183\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7305 + 0?\nAnswer: 7305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 50 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 18, 2\/3 in decreasing order.\nAnswer: 18, 2\/3, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14126 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46895414?\nAnswer: 2, 23447707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -2*k**3 + 170*k**2 + 1456*k + 2976 = 0.\nAnswer: -4, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 383776 is divided by 63962?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133629734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**4 + 316*a**3 + 6396*a**2 + 6084*a = 0. What is a?\nAnswer: -39, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-379*i + 1374*i - 253*i)*(i - i - i**3) to the form d*i**4 + c + g*i**2 + s*i + z*i**3 and give d.\nAnswer: -742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 33*g - 73. Calculate q(-33).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*v**2 + v**3 - 2*v**2 - 6*v**3 + 4*v**3 + 4*v**3 + (48*v**2 + 3*v**2 - 6*v**2)*(v + 1 - 1).\nAnswer: 48*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -7919, -7899, -7865, -7811, -7731, -7619, -7469, -7275?\n\"Answer: x**3 + x**2 + 10*x - 7931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*g = -48, -3*m + 8 = -m + 2*g. Let z = 5 - 10. Let v(u) = -u**3 - 6*u**2 - 6*u + 7. Let i be v(z). What is the highest common factor of i and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + (sqrt(76) + 1)*-4.\nAnswer: -6*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*v + 5. Let b(o) = -o**2 + o. Let n(a) = 2*a**2 - 48*a - 242. Let p(l) = v*n(l) - 4*b(l). Factor p(c).\nAnswer: 2*(c + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 1944?\nAnswer: -388.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/4153 less than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -6. Let n be u\/(-18) - 10\/(-36). Let q = -1\/9 - n. Which is the biggest value? (a) -0.1 (b) 1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -72.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1.628608g?\nAnswer: 0.001628608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 0 (c) 2\/109 (d) 162\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-160)\/(-36) + -4)\/(4\/18). Factor 6\/5*r**3 - 3\/5*r**y - 3\/5*r**4 + 0*r + 0.\nAnswer: -3*r**2*(r - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*v = 106*v + 40. Solve 3*p - v = -2*m, p = -p - 4*m - 10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2395.96619 rounded to zero dps?\nAnswer: -2396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**19\/d))\/d**(-27) assuming d is positive.\nAnswer: d**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 3:07 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/12 and (301\/(-140))\/(2\/(-4))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -b - 19, 41 = -5*b + 1655*d - 1657*d for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 + 73?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + -0.1. Let r = -10961 + 10956. Which is the third smallest value? (a) r (b) n (c) -10\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -83*m**2 + 3*m - 19. Let l(k) = 37*k**2 - 2*k + 9. Let g(o) = 4*h(o) + 9*l(o). Suppose 3*n = -4*f + 2, 7 + 9 = -4*f. Determine g(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t + 1. Let b(g) = 2*g - 1. Determine -3*b(k) - 4*m(k).\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 122672, 245280, 367888, 490496, 613104?\n\"Answer: 122608*g + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 6*c**2 - 7 + 56*c - 9 + 12*c**2 + 21 to z*c**2 + q*c + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -26*c + 109. What is the remainder when u(-7) is divided by 49?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 4:18 AM?\nAnswer: 3:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaa. What is prob of sequence aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27305 - 19493. What are the prime factors of d?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2458 * -8.909.\nAnswer: 21898.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 124*b**2 + 1834*b**2 - 12281*b**3 + 12280*b**3 + 2*b - b**4 in the form m*b**4 + r*b**3 + q*b**2 + d*b + p and give q.\nAnswer: 1958","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, u: 3}. Give prob of picking 2 u.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 + 7*l**2 - 17*l + 11. Let b be p(-9). Solve 12 - 2 = -b*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100101011001110011000010 (base 2) to base 13.\nAnswer: -2053b94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1429 - 2859\/2. Which is the smallest value? (a) -2\/5 (b) 4\/13 (c) 0 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand s - 2*s - 5*s + (-1 + 1 + 2)*(0*s + 2*s - 3*s) + 5*s - 19 + 19.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*z + 202, m + 13*z + 43 = 12*z. Which is bigger: -47 or m?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -339 - -1012\/3. Let j(h) = h**2 - 3*h + 2. Let p be j(4). Put p, c, 4 in increasing order.\nAnswer: c, 4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.98 - 0.02. Let r = p + 4. Suppose -s = -3*x + 4, -2*s = -2*x + 3*s + 7. Which is the second smallest value? (a) r (b) -6 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 4)\/(21\/(-35)). Let q be 5*((-2)\/k + -2). Calculate the remainder when (-4)\/q + 420\/9 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.09, 2\/17, 45?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -910629, -910628, -910627?\nAnswer: -910626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 974, 1060, 1158, 1274, 1414, 1584, 1790?\nAnswer: 2038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96 is divided by 43?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -6*k**2 + 67*k - 5*k - 62*k + 14*k**2. Let u(b) = 3*b**2 + 2*b. Calculate t(u(g)).\nAnswer: 72*g**4 + 96*g**3 + 32*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 708 and 24?\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -10, 14, 68, 164, 314, 530, 824, 1208?\n\"Answer: 2*p**3 + 3*p**2 + p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m + 12. Let l be g(-12). Suppose -5*u = -l*o - 4*o - 883, 5*u - 886 = 3*o. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*7\/(21\/(-2))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 11:00 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 313*o**5 + 103*o**2 + 38438*o wrt o.\nAnswer: 6260*o**3 + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 293 - 289. Let s(y) = 2*y**2 - 4*y + 6. Give s(r).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 313204303 (base 5) to base 15\nAnswer: 1ab438","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -118*h + 2209. Let z be o(53). Is z != -4046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5563002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s - 3*s**4 - 11 + 4112*s**3 - 4159*s**3 - s**2 + 8 in the form j*s**4 + n*s**3 + d*s**2 + i + b*s and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 AM and 8:19 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 540528 is divided by 311.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -9199, -24, 5, 2 in increasing order.\nAnswer: -9199, -24, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9470, 37928, 85372, 151802?\n\"Answer: 9493*d**2 - 21*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 3 + d)*(3*d - 5*d - d) - 2*d**2 + d**2 + 3*d**2)*(-44058*d + 22028*d + 7264 + 22031*d) as k*d + h + n*d**3 + w*d**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 3*c + 30 = -0*j, -j + 2*c = -6. Let n be 2*j - 0\/7. Suppose 2*y - n = 2*f + 6, 2*y + f = 25. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 1:21 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9364 + 9359. Which is the fourth biggest value? (a) -0.26 (b) -12 (c) o (d) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -518*p - 114023. What is i(-220)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12 + 11)\/(2\/(-10) - 0). Let z be ((-126)\/(-35))\/(7\/n). Factor -12\/7*i + z + 2\/7*i**2.\nAnswer: 2*(i - 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7161 and 20646.\nAnswer: 1589742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, n: 1, z: 8, a: 2, q: 2, x: 1}. Give prob of sequence wn.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 196533 - 3.1.\nAnswer: 196529.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the first derivative of 5*w**3\/3 - 155*w**2\/2 + 420*w - 4766. Factor y(d).\nAnswer: 5*(d - 28)*(d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 1\/2 (b) -8 (c) -4 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of -z**5\/60 + 5*z**4\/12 - 7*z**3\/6 + 4*z**2. Calculate the lowest common multiple of l(9) and ((-1)\/(-2))\/(7\/70).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82731.\nAnswer: 3, 11, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (540\/(-945) + 418\/707)*1\/(-2)?\nAnswer: -1\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**2 - 4*a - 4. Let h be t(-1). Solve c - 2*v = 1, 0 = -5*c - v + 4 + h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000a38 (base 15) to base 8.\nAnswer: 53353640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 10 - 12) + -1 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bzz when three letters picked without replacement from {z: 2, b: 1, w: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24, 43, 62, 81, 100, 119?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/35)\/((-2301)\/1239).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*g**2 - 426*g**2 + 190*g**2 - 995*g**2.\nAnswer: -1639*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 5, 2\/5, 1551761 in decreasing order.\nAnswer: 1551761, 5, 2\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 55 - 169\/3. Put -15, q, -0.1 in increasing order.\nAnswer: -15, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5626*c**2 - 5*c + 6603*c**2 - 1398*c**2 + 6541*c**2 - 4233*c**2.\nAnswer: 13139*c**2 - 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4549902 or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*u - 15, 64*i - 103*u + 118*u = 65*i - 71 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 29.6757\nAnswer: 118.7028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 111614?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003031862889 rounded to 5 dps?\nAnswer: 0.00303","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -486, 1, 0.2636?\nAnswer: -486","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*k**3 - k**3 + 2*k**3 + (3*k**2 - 5*k**2 + 4*k**2 + (5*k - 3*k + 0*k)*(0 + 0 + 2*k))*(2*k - 2 + 2) as p*k**2 + l*k**3 + f*k + v and give l.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 35338320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 182953948?\nAnswer: 2, 1109, 41243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33, -76, -125, -180, -241, -308, -381?\n\"Answer: -3*s**2 - 34*s + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 2*l**2 + 2*l + 1. Let x be f(2). Let j(s) = 11*s**2 + 20*s - 10. What is the hundreds digit of j(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 1\/120*s**6 - 5\/6*s**3 + 0*s - 1\/3*s**4 + s**2 + 1\/10*s**5 + 0. What are the prime factors of y(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -951, -2131, -3315, -4503?\n\"Answer: -2*j**2 - 1174*j + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 12\/(1 + 1). Let t(l) = s*l**2 + 20 + 4*l**2 - 3*l + l**3 + 2*l - 15. What is t(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 + 93. Suppose 2*x + o = -39. Let q = x - -155. List the prime factors of q.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 44760?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 5:35 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/((-28)\/8))\/(-27 + 38)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33 and 190597?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 0 + -8)*-8. Suppose -8*f + 4*f = -r. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 129504 = -114496. What is b rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*v - 12041 + 3734 = 0. Calculate the remainder when 619 is divided by v.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (3 + 1 - (7 + -6))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)\/(sqrt(25)\/sqrt(5)))\/(sqrt(42)\/sqrt(6)*-2)*-6.\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 31 = -5*m, -6*k + k + 5 = -4*m. Let i = -0.1 - -0.5. Let t = i + -0.9. Put 0.2, k, t in decreasing order.\nAnswer: 0.2, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-30)\/(-10)*(-1)\/(15\/25). Which is the closest to -3? (a) 0 (b) -28 (c) r (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*i = -64*i + 131 + 47. Solve -4*w + 5*a + 7 = 0, -4*w - i*a = -0*w + 14 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -160, -1 in ascending order.\nAnswer: -160, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 4 (c) 2\/9 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - z**2 + z + 1. Let x(a) = 4*a**3 + 5*a**2 - 13*a - 5. Calculate 10*b(y) + 2*x(y).\nAnswer: -2*y**3 - 16*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -89 - -3?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -247*k + 256*k - 162. Solve 1 = -k*h - 17 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 129, 264, 309, 210, -87, -636?\n\"Answer: -9*h**3 + 9*h**2 + 171*h - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/4)\/((-1)\/10). Suppose -l*x - 21 = -2*x - 3*v, -x - 5*v = 1. Let p = 10 - x. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1333\/15 + 1 - (-26)\/195. Suppose 2*b = 348 - a. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a second in milliseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -37. Suppose -4*y = -b + 76, a*b - y = -160 + 502. Suppose p + 3*t - b = t, -62 = -p - 5*t. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + 2*f + f - f - 2*f + 2*f + (-6 + 3 + 2)*(0*f - 2*f + 3*f))*(5*f**2 - 14*f + 14*f) as r + q*f + t*f**3 + b*f**2 and give t.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7036286723 and -0.5.\nAnswer: -7036286723.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 38 and 27205056.\nAnswer: 516896064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 5*d**3 + d**2 - d - 1. Let v be i(1). Suppose 0*u + 4*b - 196 = -v*u, -5*u = 3*b - 235. Is 16 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*-2*(-2)\/(-16). What is the remainder when j + -5 + 83 + 27 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/6 and -157\/660?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -3 and -25\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 + 9 = 7*f. Let g be 3 + 2 + f + 0. Solve 4 + 2 = g*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528432 a multiple of 218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3.53 and -444.47.\nAnswer: -1568.9791","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.09 and 0.01.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593965*f**2 - 1187933*f**2 + 593966*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12498 - 12495. Let f(s) = -23*s - 2. Calculate f(g).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**(-15)\/p*p)\/p)\/p**2)\/((p\/((p*p**6*p)\/p))\/(p*p\/(p\/((p\/(p\/(p\/p**(2\/9))))\/p)))) assuming p is positive.\nAnswer: p**(-83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-91)\/39)\/(1 + (-12)\/(-18))?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 31 - 3)*(-7*v - 73*v + 22*v).\nAnswer: 2030*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 100574 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 160, 1393, 4740, 11257, 22000?\n\"Answer: 176*f**3 + f**2 - 2*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 39. Let r = -13 + p. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 15 - 0) + -143 + 133 - 11.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 f when two letters picked without replacement from {v: 1, a: 1, q: 1, l: 1, e: 2, f: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 11325282 from -969.\nAnswer: -11326251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 12, 3, 4, 0 in ascending order.\nAnswer: -18, 0, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -70*s. Let f(b) = -5*b. Calculate 85*f(l) - 6*p(l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 8*y**2 - 913*y + 626. Give r(114).\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -187*k**2 - 62*k**2 - 56*k**2 + (-7 + 2 + 4)*(-3*k**2 + 2*k**2 + 2*k**2).\nAnswer: -306*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178 = -45*w - 43 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8618271.\nAnswer: 3, 2872757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (6 + (-5 - 4))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 1\/40754?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 507, 5, -1002, 3 in decreasing order.\nAnswer: 507, 5, 3, 2, -5, -1002","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.06 + -0.06. Let k = 77 + -62. Let r be ((-15)\/k)\/(1 - 0). Which is the nearest to r? (a) g (b) 0.3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -28*u - 40. Let g be c(-2). Suppose 3*q - 2*b = g, -10*b + 7*b = -3*q + 21. Solve -3*n + 2*j + 0*j = 3, 4*j - 14 = -q*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 799.4471 nanoseconds to milliseconds.\nAnswer: 0.0007994471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1133*p - 1163*p - 30 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0088 - -244.9912. Let v = -3377281.9817 + 3377037. Let m = v + f. Round m to three dps.\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4389 and 201.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2100450 and -0.17?\nAnswer: 2100449.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -790 - 109885?\nAnswer: -10a455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 693311.\nAnswer: 17, 2399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 6736 * -4.44\nAnswer: -29907.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 11 - 12 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3188 + 104 = -12*q. List the prime factors of q.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 658806 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 135 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 794 and 63781226?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13135 + 62*u + 13135)*(-2*u**4 - 3*u**4 + 7*u**4) - 4 - u**5 + 4.\nAnswer: 123*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1061*t = -1150*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.1 (b) 64 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/819 and -65\/36.\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1035133 is divided by 64693?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pnnpvpnpnvn. Give prob of picking 3 n.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 33*v - 2 - 11*v - 10*v - 6*v. Let l(j) = 5*j - 2. Calculate -4*l(k) + 3*s(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17955)\/798 - (-24 - -2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 44 and 99?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 19086533?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 645 a factor of 975430275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 7) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 w, and 1 j when three letters picked without replacement from ewbwbjejwwbbrrrbbwbe.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 4*f = 22, -3*m + 4*f = 23 - 17. Let j = -3 + 5. Let h(y) = j*y**m - 5*y**2 - y**2. Let q(x) = 4*x**2. Determine q(h(o)).\nAnswer: 64*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 26*g - 98. Calculate the remainder when 31 is divided by n(-21).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.1, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -24 + 5 + (1 - 2). Let d be ((-6)\/(-5))\/((-6)\/u) + 0. Let k(x) = -x + 3. Calculate k(d).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33399 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + 0.6. Let w = i + 2. Let z(f) = 2*f - 5. Let p be z(6). Which is the biggest value? (a) w (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -225*y**3 + 1126*y**3 - 225*y**3 - 223*y**3 - 230*y**3 - 221*y**3.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 4 - 2)*((-4 + 2 + 1)*(3*w - 3*w - 2*w) + 4749*w - 9489*w + 4751*w) + 0*w + 0*w - w in the form z + x*w and give x.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17.01 + -17. Suppose 10*b - 3 = 11*b. What is the smallest value in b, j, -3\/2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of r**7\/840 - r**6\/80 + 3*r**5\/80 + 50*r**2. Determine u, given that v(u) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.04578578 to four dps.\nAnswer: 0.0458","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006536918 to five dps.\nAnswer: -0.00654","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 12. Let q = 2 - p. Let t(v) = -v**2 - 2*v - 317000. Let n be t(q). Round n to the nearest ten thousand.\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = f - 19. Is -1 > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*x = 12, -i = -x - 2 + 5. Let y(b) = -b**2 - 5*b - 3. What is y(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d**3 - 3*d**2 - d. Let s be 6\/(-33) - 72\/(-33). Suppose 10 = 3*f - s*f. Let m be (-11)\/5 - (-2)\/f. Give a(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 16*s**2 - 7*s**2 - 10*s**2 - 122 + 20*s**2 to r*s**2 + b + w*s and give b.\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 26641\nAnswer: 79923","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03787 - 0.5.\nAnswer: -0.53787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41248, -82395, -123556, -164737, -205944?\nAnswer: -247183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 1\/3 (b) -3\/8 (c) -4 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/93392 and 2\/4939.\nAnswer: 1027312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ik when two letters picked without replacement from {c: 3, p: 7, o: 3, k: 2, i: 1, j: 1}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.21 - 2.79. Let i = -79 + 51. Let o = i - -30. Which is the closest to o? (a) u (b) -0.2 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*r**2 + 23117*r - 51*r**2 - 23117*r + 16*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cclc. Give prob of picking 2 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-20))\/(8\/(-20)). Let w = -1.195 + 1.295. Put 0.099, w, h, 0.4 in increasing order.\nAnswer: h, 0.099, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/15*150\/(-40)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2\/3 + 13*g\/6 + 1.\nAnswer: -(g - 2)*(8*g + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2 + -1. Let n be 159\/1 + (o - 1). Let a = -473\/3 + n. Is a equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*a + 1729 = -122*a - 455 for a.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.205 - -7.305. Let d = -14.85 + g. What is d rounded to zero dps?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 18 + 1974 = 0. Let x = 210 - s. What are the prime factors of x?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k - 7*k)*(0*k + 3*k - 5*k) - 2 + 521*k**2 + 3 + 389*k**2 - 1.\nAnswer: 924*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -12 (b) -1 (c) 3 (d) 0.12 (e) 42 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2 + 9*t**2 - 7*t**2 - 3*t**2 + 3*t. Give d(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 16*m + 21. Suppose 0 = 4*q + 23 + 41. List the prime factors of y(q).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*q + 5*t - 44, 3*q + 2 = 5*t. Let i = -113 - -161. What is the highest common factor of i and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(7)*3) - (sqrt(21) + (sqrt(1344) - sqrt(21)))\/sqrt(7))**2.\nAnswer: 529\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 56 and 24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 690806?\nAnswer: -6907a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 53.1 - 47. What is r rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75 and 6.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 0.01131\nAnswer: -0.41131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -48 (b) -3 (c) 6.88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14243 or 14223?\nAnswer: 14243","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 448481603?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 192486267 take away -4.6?\nAnswer: 192486271.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -540 + 564. Solve 20*y + t = 14*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s + 5. Let p be b(-8). What is the third derivative of 7*k**2 + 18*k**2 + p*k**3 - 6*k**2 wrt k?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + (-3)\/4.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42493 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41.9 + 40. Round u to one decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -4*x**2 + 3*x - 30. Let c be p(6). Let i = c - -159. Let w(t) = t + 13. Let h be w(-6). Solve -h = i*g + 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 4*d = 18, -34 = -p - 3220*d + 3208*d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:07 PM and 11:57 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29343, 29341, 29339, 29337, 29335, 29333?\nAnswer: 29331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + j**4 + (5*j**2 + 3*j**2 - j**2)*(-7*j**2 + j**2 + 2*j**2 + 2*j**2 + 3*j**2 - 4*j**2 + (-2 + 2 - 2*j)*(-j - 2*j + 4*j)).\nAnswer: -34*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 303133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, 1, 3 in descending order.\nAnswer: 61, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from ctccpppoyopptpc.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 363, 663, 883, 1017, 1059, 1003?\n\"Answer: -w**3 - 34*w**2 + 409*w - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/23? (a) 335 (b) 29\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1072194.9746 - 1072014. Let v = c + -181. Let j = v + 0.02539458. Round j to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28503810 a multiple of 522?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12819*y**2 + 0*y**3 + 2*y**3 + 4272*y**2 + 4276*y**2 + 4271*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - -10) - 3\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-4)*(-7 + 1). Let s = 15 + 25. Suppose -h = -y, -i*y + 7*y - s = -4*h. What are the prime factors of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7056\/(-168)*(-1)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 <= 39194\/371?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -249\/31 != -8\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -659 - -659.0564. Let l = -0.0564 + u. What is the closest to -3.4 in -1, 2, -3, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**5\/10 + s**4\/12 - s**3\/6 - 1312*s**2 - 1. Let l be 5\/(-2) - (-2)\/4. What is c(l)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -0*x - 300. Let h be (-400)\/x*2*3\/(-4). Let v(t) = t**2 + 7*t + 14. What is the least common multiple of 98 and v(h)?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*c + 8*c - 254 + 7*c + 282 in the form y*c + n and give n.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 2*r - 269, -2*r - 360 = -4*t - 0*r. What is the remainder when t is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*-8*2\/120?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/4 + 2\/4. Let k(t) = -t + l - 1. Let j(v) = 3821*v - 3*v**2 - 3821*v. Give k(j(w)).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 233 (base 7) to base 16\nAnswer: 7a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -112 + -1112?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 5 + -1 + sqrt(192) + (2*sqrt(192) + sqrt(192))*-1 + -5*(4 + (1*sqrt(192) - sqrt(192)) + -1))**2.\nAnswer: 384*sqrt(3) + 912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-2\/31))\/d)**(-7\/9) assuming d is positive.\nAnswer: d**(-14\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5867 is divided by 226.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of 0 + 1\/8*o**4 + 0*o + 412*o**2 - 5\/6*o**3. Let q(r) = 4*r**2. Let t be q(-1). Give l(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5425343*0.14\nAnswer: 759548.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9250 and 3125.\nAnswer: 231250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 131157 and 10089?\nAnswer: 131157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 40 - 31 - (-1 + 8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -9950.2497 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -465568 + 21.\nAnswer: -465547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 52, 5\/6, 4\/33?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38158339 is divided by 169?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 7 (b) -0.2 (c) -9 (d) 5 (e) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**(3\/19)\/(((u*u*u**(-5\/4)*u)\/u)\/(u**(1\/2)\/u)) assuming u is positive.\nAnswer: u**(-107\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-4)*(-32 + 24). Suppose -3*f + 932 = k*s, -3*f + s - 1525 = -8*f. Suppose -f = -2*i - 2*i. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/45636488 and -14\/145.\nAnswer: 228182440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/16)\/(((-10)\/((-9000)\/(-27)))\/(12\/(-8)))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-9)\/15)*-3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -11*y. Let o(j) = -j - 5. Let d(g) = -4. Let h(m) = -5*d(m) + 4*o(m). Let q(u) = -8*h(u) + 3*s(u). Let r(w) = -w**2 - 2*w. Calculate q(r(t)).\nAnswer: t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2924192, 2924262, 2924332, 2924402, 2924472?\nAnswer: 2924542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1223938719267 - 2?\nAnswer: -1223938719269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 14*w**2 + 9*w + 19. Calculate the remainder when a(-13) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4288780.\nAnswer: 2, 5, 214439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10810.\nAnswer: 2, 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -7145061 > -7145063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -126 + 192. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9799.449 times -1?\nAnswer: 9799.449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 16, -69, -348, -923, -1896?\n\"Answer: -17*d**3 + 5*d**2 + 19*d + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0*g**1*g\/(g\/g**6)*g**(-3))\/((g\/(g*g**5))\/((g**(-6)*g)\/g)*(g**(2\/7)*g)**(-9\/4)) assuming g is positive.\nAnswer: g**(165\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13049357*w**4 - w**2 + 1741418*w wrt w?\nAnswer: -313184568*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 27*o + 5. Let h be k(-1). Let b be (-4)\/h + (-5)\/((-275)\/(-230)). Let v(l) = -l**2 - 5*l. Determine v(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 7 = 5. Let s(v) = -7*v**3 + 1. Give s(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 171, 265, 379, 519?\nAnswer: 691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 2 h when four letters picked without replacement from {v: 17, h: 3}.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 6*q + 162 = -15*i, 4*q + 66 = -5*i for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yj when two letters picked without replacement from {y: 5, j: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 593884704?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3.077 or -22?\nAnswer: 3.077","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 6:24 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvvgvtvvgtvgvggtgg. Give prob of picking 1 t and 3 g.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a day in minutes?\nAnswer: 43920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qk when two letters picked without replacement from ooqxukh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(5\/(75\/747))\/((-95)\/(27075\/(-342))).\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {s: 4, e: 2, f: 2, j: 1, n: 1}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, t: 4, n: 1, e: 6, j: 1, h: 3}. What is prob of sequence jhy?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 21*n**2 - 12*n - 52. Let c(v) = v**3 - 17*v**2 - 13*v - 50. Let a(o) = 6*c(o) - 5*r(o). Factor a(t).\nAnswer: (t - 4)*(t + 2)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 156 + 148 = 0. Calculate the greatest common divisor of 57 and i.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3937 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 1 = 4. Suppose 4*g - 2*t + 0*t - 2 = 0, -4 = -g + 4*t. Let l = b - g. Does 2 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/6 in -8, 0.06, 4, 3, 17?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*o**5 + 3*o**5 + 5*o**5 + (0*o + 0*o + o**3)*(-448*o**2 - 207*o**2 + 212*o**2).\nAnswer: -442*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 7*k - 6. Give x(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d**3 + 646*d**2 + 47712*d - 733824 = 0.\nAnswer: -168, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (2976\/6)\/((-56)\/1456*-208)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b + 3. Let s(r) = r + 1. Let i = -1 - -4. Suppose 2*c - 10 = g - 3*g, 3*g + 39 = i*c. Suppose 2*q = -q + c. Determine q*s(h) - d(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 - 0 - 4\/(-9344). Let w = 2046929\/292 + -7010. Let d = w + y. Find the common denominator of -53\/40 and d.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 131992 divided by -2357?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 3:44 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -54*d**3 + 38*d**2 + 3953*d wrt d.\nAnswer: -324*d + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence do when two letters picked without replacement from oooozdzzoz?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 21\/8, 4, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 14*j**3 - 9*j**2 - 10*j + 10. Let a be l(5). Let o = 1483 - a. Let h be 2\/(-8)*(-8)\/(-15). Put h, -1\/4, 4, o in ascending order.\nAnswer: o, -1\/4, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10101010100?\nAnswer: -10101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103673334 is divided by 12959163?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 517143*q**3 - 1040790*q**3 + 523640*q**3.\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 148344804?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -89, 10, -1, 2\/9?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + a + 29 = 0, -5*p + 0*a = 2*a - 145. Suppose -202*x - 1493 + 7351 = 0. What is the greatest common divisor of x and p?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3070779?\nAnswer: 3, 317, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.495 + 0.075. Let z = 1.52 + h. Put -2\/23, z, 2 in descending order.\nAnswer: 2, z, -2\/23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 16*r + 11. Does 47 divide v(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + -477?\nAnswer: -467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 12:44 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1226005328 to the nearest integer?\nAnswer: 35014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - 1\/(-4))*(-720)\/(-270). Let p(l) = 58*l**2 + 29*l + 4. Is 36 a factor of p(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 148329*l**5 + 5*l**2 + 228731*l + 6.\nAnswer: 2966580*l**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18405230 bigger than 18405231?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 658 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 91. Let f(q) be the third derivative of 0*q - 4*q**2 + 2\/105*q**7 - 1\/120*q**6 + 0 + 1\/24*q**4 - 1\/15*q**l + 0*q**3. Factor f(x).\nAnswer: x*(x - 1)*(x + 1)*(4*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*s**4 - 82*s**3 + 32*s**2 - 7 wrt s?\nAnswer: 120*s - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17406*f**2 + 17643*f**2 - 35041*f**2.\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*10198.84\nAnswer: 5099.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 11 = -1. Let q = p - -22. Let l(d) = -26 + q - d. Let w(i) = -3*i. Determine l(w(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = 3*c - 8, -c = -4*c + 12. Let v = -4 + p. Let k = v - -14. What is the highest common factor of k and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.239499 - 0.24. What is y rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17369 is divided by 139.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 3. Let r be 201\/6 + (-4)\/8. Calculate the highest common divisor of q and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppopoppoppppppoo. What is prob of picking 1 p and 1 o?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - -54. Suppose -59*o = -t*o. Suppose -i + 4*p + p + 1481 = o, -p + 2918 = 2*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1395, -1378, -1349, -1308, -1255, -1190?\nAnswer: -1113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 652*c**2 + 172*c - 180*c + 8*c.\nAnswer: 652*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 16*z + 14658 + 69*z - 14658 - 11*z**3 + (4*z**2 - 2*z**2 - 4*z**2)*(z - 2*z + 2*z) as d*z**2 + h*z + u*z**3 + w and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/3*-9*(-9)\/162?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of -h**3\/15 + 442*h**2\/5 + 177*h - 3618. Find v, given that i(v) = 0.\nAnswer: -1, 885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/79578 and 89\/8.\nAnswer: 318312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013223 to the power of 1\/2, to the nearest integer?\nAnswer: 1007","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -624*b - 1153. Is m(-50) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12862423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.91 + 3.6. What is v rounded to 1 dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10713539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 506?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 + (-5)\/3)*18. What is the highest common factor of 48 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w - 7. Let v(f) = -6*f - 21. Let p(d) = 7*s(d) - 2*v(d). Calculate the remainder when 14 is divided by p(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2 - 17*l + 2. Let a be t(17). Find the third derivative of 5*y**3 + 7*y**a + 7*y**2 + 10*y**3 wrt y.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70093262?\nAnswer: 2, 47, 745673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000019362 rounded to 7 dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 31207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -11952 less than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 4*h - 12 = -2*h, x - 27 = 5*h. Let o be 0 - -1 - (1 - 0). Suppose y + 0*y - 40 = o. Solve -5*v = 4*r + y, x*r + 18 = -2*v - 0*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 100 = 4*h. Suppose 10 = 7*n - 2*n. Suppose -n*x + x = -2. Solve 3*o - 4 = -x*k + 15, 2*o + 5*k = h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qxq when three letters picked without replacement from qxxxqxxxxxx?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - p**2 - 2. Let f(d) = 2*d**3 + d**2 - 2*d - 46. Calculate -f(z) - 3*k(z).\nAnswer: -5*z**3 + 2*z**2 + 2*z + 52","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**2 - 43*r + 244. Let q be t(5). What is the third derivative of 526302*l**4 + 91*l**2 + 8*l**5 - 526302*l**q + 3*l**3 wrt l?\nAnswer: 480*l**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -8*x**3 + 9*x**2 - 6*x + 9. Let j(f) = -f**3 + f**2 - f + 1. Determine -18*j(u) + 2*q(u).\nAnswer: 2*u**3 + 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -626*a + 629*a = 15. Let u(j) be the third derivative of -4\/15*j**3 - 2*j**2 - 1\/15*j**4 + 0*j - 1\/150*j**a + 0. Find t, given that u(t) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9808309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-22)*(-4)\/7. Let y(x) = 36*x + 3 + 3 - 33*x. Let h be y(-3). What is the biggest value in j, -4, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 6) in base 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -5.222. Let k = -102.222 - y. Which is bigger: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -5, -4775, -19, 4 in ascending order.\nAnswer: -4775, -19, -5, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.96 + 0.04. Let o = -0.02 + 3.02. Let g = m - o. Which is the nearest to g? (a) 4 (b) 0 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/5)\/((a*a*a**(-1\/19)*a)\/a))**(-6) assuming a is positive.\nAnswer: a**(882\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 1 = 3*q + 7, 5*p + 3*q = -6. Let b(t) = -29*t - 77. Let l be b(-5). Solve p = 66*k - l*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -53*o + 1903*o**2 + 213*o - 1907*o**2 to the form b*o**2 + t + p*o and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 659, -5, -2 in decreasing order.\nAnswer: 659, 19, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, k: 7}. What is prob of picking 3 p and 1 k?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*l - 9706 - 6428 = -15616 + 6412 for l.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u*u**3))\/u)\/u)\/u**(1\/6) assuming u is positive.\nAnswer: u**(-31\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 5*f**2 - 5*f + 17. Calculate the remainder when 130 is divided by g(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 23 = -3*i, 3*p + 0*p - 5*i = 49. Let u(r) = r**2 - 7*r + 8. Is u(p) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(612)*-2 - sqrt(612))*4*-4 + (0 + sqrt(612)*1 + sqrt(612))*5 + 0))**2.\nAnswer: 74115648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q**2 - 32*q - 2. Determine j(7).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14248691?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 1511, -1\/2, 17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -56?\nAnswer: -5a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.17 - 11.77.\nAnswer: -12.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 875*q**2 - 869*q**2 + 2*q + 5*q**3 - 89*q wrt q.\nAnswer: 30*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 764369269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 5*k**2 + k + 2. Let g be b(-5). Let p = -2946 + 2055. Let v = p - -891. What is the nearest to v in -0.5, -5, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -201970 divided by 40394.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 4*o**2 + 4*o + 4. Let i be c(-4). Does 17 divide 1 + 169 + 4\/i*0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (194 - (93 + 97))*(0 - 122\/(-8)).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 4*z + 16776, -14*n - 2*z = -9*n - 27988. Is n a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*v - 95*v + 240 = 0. Solve -v*c + 57 = -23 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, t: 1, i: 1, n: 4, k: 1}. Give prob of picking 1 k and 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 56320*q - 1689642. Give o(30).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**2 - 2279716*d - 4559424 = 0?\nAnswer: -1139856, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28146 - 186.8.\nAnswer: 27959.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -25073057 and -0.1.\nAnswer: -25073057.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 47*2\/10 + (-18)\/45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11576 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1581 is divided by 225.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 236048 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 20394, 40932, 61460, 81972, 102462?\n\"Answer: -l**3 + l**2 + 20542*l - 148","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k - 90 + 169 + 358 + (3 - 1 - 1)*(-3*k - k + 3*k).\nAnswer: k + 437","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 4\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3512549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 224*i**2 - 121. Calculate o(0).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1801 - -3308. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*q + 9*q = -40. Solve 3*l = -7 + q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 11, 131, 425, 965, 1823, 3071, 4781?\nAnswer: 7025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 3*h + 8. Let i be d(-2). Suppose 4*g = -5*z + 89, -2*z = -i*g + 3*g - 35. Solve z*x - 12*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7507258 to the nearest integer?\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 + -4.2. What is the biggest value in 1, -9, x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1922848586.\nAnswer: 2, 41, 53, 59, 7499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1422 + 22*s**2 + 1422.\nAnswer: 22*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(280) - (sqrt(280)*-2 + sqrt(280)))*-6)\/(sqrt(5) - (-2*sqrt(20)\/sqrt(4) - sqrt(5)) - sqrt(5)))\/((sqrt(80)*-1*-3 - sqrt(80))\/sqrt(10)*-4).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 - 8*2\/1. Let l(a) = -19*a - 10. Let k(i) = 12*i + 9. Let n(q) = 8*k(q) + 5*l(q). Let w be n(t). Solve 3*f = -5*g + 13, 2*g = w*g - 25 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 62004?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**3 - 26*x**2 - 14*x.\nAnswer: 2*x*(x - 7)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9*(-5 + -2)\/(-7) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -76. What are the prime factors of g?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1163 - -1260. What is the remainder when o is divided by 29?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 276895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 111020 (base 4) in base 5?\nAnswer: 20402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 8*x**2 + x - 2. Let h be i(-2). Let v = -24 + h. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12121 - 11?\nAnswer: 12110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 70.5 and 0.19.\nAnswer: 13.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 10367 to the power of 1\/2, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + 1c8?\nAnswer: 1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*-0.2549.\nAnswer: 0.28039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 8*x**3 - 39*x**2 + 24*x - 178. What is b(9)?\nAnswer: 2711","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -6*c**3 - 3. Let r(x) = 5*x**3 + 2. Let k(v) = -v**3 + 4*v**2 - 2*v - 1. Let d be k(2). What is d*r(h) + 2*g(h)?\nAnswer: 3*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*d + 11371 = 2723. What is the remainder when d is divided by 114?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = 18*i - 111, 6807*i - 6805*i + 5*a - 45 + 6 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 21. Let b be -4*((-26)\/8 - m). Solve 2*q + b = -3*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r + 6. Let b be o(8). Calculate the remainder when b - (-1 - 83)\/3 is divided by 11 + -3 + 5 + 1.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23164*p - 7010*p - 11875*p.\nAnswer: 4279*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4704810 a multiple of 318?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1144076.\nAnswer: 2, 286019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -602*d = -1635*d - 98135 for d.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 614?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-7)\/(-3) + 2\/3. Sort 1, -11, p in ascending order.\nAnswer: -11, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b, -2*h - 2*h - b = 0. Solve -3*u + u = h for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - l**2 + (-l - l + l)*(-4*l + 3*l + 2*l) + 3*l**2 + 2*l**2 - 2*l**2 - 265 - 9*l**2 + 265.\nAnswer: -8*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.4, 6.7, -5, 60\/11, 4, 41\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 37117 times -4\nAnswer: -148468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/335 + -71\/670. Suppose -2*q = -4, -4*v + 4 = 3*q + 2. Which is smaller: v or t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -466 - -742. Let k = z - 276.3. What is the biggest value in k, -1.4, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 113 - 68. What is the remainder when c is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -439 (b) -3\/2 (c) 0.1 (d) 0.4 (e) -7 (f) 2 (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10756 + 15410. Let v = 14904 - d. Round v to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2219671*v**2 - 3647206?\nAnswer: 4439342*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 44752425\/(-1850)*4\/(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/17654 and -117\/20.\nAnswer: 176540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -208 + 201 + g + 945.\nAnswer: g + 938","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251 - 250.8. Let q = -16 - -34. Which is the nearest to 1? (a) q (b) r (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:16 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(32) - sqrt(2)))**2 + 0.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - 10\/12 - (-151)\/(-906). Solve o = 15*t - 12*t - 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44 * 4\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 1. Let g be (14\/b)\/((-2)\/13). Let n(y) = y**2 + 14*y + 9. Let s be n(g). Do s and -2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -85, -1\/11, -4, 54, -0.1, -0.8?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*w + 13*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2305509, 2305507, 2305505?\n\"Answer: -2*d + 2305511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 0. Suppose d = 5*m - 156 - 4. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-6)\/9)\/((-2)\/18).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (1*-4*1*sqrt(95))\/(2*sqrt(20) + sqrt(30)\/(sqrt(24)\/sqrt(4))).\nAnswer: -4*sqrt(19)\/5 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -147.47305 rounded to the nearest integer?\nAnswer: -147","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 0.5, 24, -4 in increasing order.\nAnswer: -4, 0.5, 1, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0459 rounded to three decimal places?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -9\/2, -21\/23, 4, -0.2, -6\/25, 33?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34451317*r**4 + 182*r**2 + 145*r + 1.\nAnswer: -826831608*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7143, -28587, -64327, -114363, -178695?\nAnswer: -257323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 148474861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.57 - -5.57. What is the nearest to -3\/7 in 7, 2, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12558)\/276*(-2)\/7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 44.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 PM and 2:47 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 3. Let a(p) = 2*p + 2. Let t be a(10). Let w(b) = 4*b + 11. Let n(r) = t*d(r) - 6*w(r). What is the remainder when 21 is divided by n(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wm when two letters picked without replacement from {v: 2, w: 1, t: 1, m: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 28311 to the nearest one hundred.\nAnswer: 28300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1124 - -1120. Let p be ((24\/42)\/4)\/((-2)\/6). Put -2\/17, c, p in decreasing order.\nAnswer: -2\/17, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 times -55.134601\nAnswer: -2.20538404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 56*b**2 - 17*b - 17. Let n(p) = 19*p**2 - 6*p - 6. Give 6*h(x) - 17*n(x).\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4698 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15*2 + 1 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + 525145?\nAnswer: 525153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -33*l + 2551. Give c(47).\nAnswer: 1000","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7177233 divided by 28.\nAnswer: -1025319\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2501*f + 3 - 284*f**2 + 2488*f - 4 - 4989*f.\nAnswer: -284*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 778\/389*2*-4*-1?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -13. Let y = w - 10.00168. What is y rounded to four decimal places?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2525317.5 rounded to the nearest 100000?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8192054729 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q - 3 = -27. Suppose -3*j - 4*n = 7 + q, -2*n = -j. Let r(b) be the first derivative of 5*b**2\/2 + b + 1. Determine r(j).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61163 at least as big as 61164?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*r - 5*r + 2*r**2 + 2*r**3 + 12*r - 4 + (-2*r - r + 0*r)*(-4*r**2 + 4*r**2 - 2*r**2).\nAnswer: 8*r**3 + 2*r**2 + r - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 634357?\nAnswer: 53, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -694\/3 + 937\/4. Find the common denominator of 89\/8 and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3120680, -6241344, -9361998, -12482642, -15603276, -18723900, -21844514?\n\"Answer: 5*l**2 - 3120679*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (65\/15)\/((-6201)\/106).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 139797 and 8918161.\nAnswer: 2219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28227577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a tonne in kilograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/3 - 8840*f**2\/3.\nAnswer: 2*f**2*(f - 4420)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -5\/7, 1, -2, 161, 10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * 0.7044.\nAnswer: 0.07044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 28 - -249. Suppose -16*v = -17*v + t. Let m = 487 - v. What is the greatest common divisor of m and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.14 rounded to the nearest integer?\nAnswer: -28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/7)\/(d\/d**4)*(d\/((d*d**1)\/d))\/d**(-5) assuming d is positive.\nAnswer: d**(55\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2752982?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 195471995201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q - 2*i - 8 = 9*q, i + 3 = q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1166747878 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -661528 take away -3.7386?\nAnswer: -661524.2614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2. Let w(y) be the first derivative of 4*y**3\/3 + 15. What is -w(n) - 6*x(n)?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + -2 - (-1 + 1). Suppose 0*f + 2*f - 148 = y. Let g(i) = 381*i - 45301. What is the remainder when f is divided by g(119)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/8 and 13\/258?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (48\/20)\/(3\/890). Suppose -5*z + f = -4*l - 1526, -5*z = 3*l - 2224. What is the second derivative of z*m + 449*m - 34*m**2 - 888*m wrt m?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 6*u + 23 = 4*x, 5*x + u - 7 = 0. Solve 4*h = -x*d - 2*d + 8, 3 = -3*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 673376.2 tonnes to nanograms.\nAnswer: 673376200000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.9, 4\/3, 1\/6, -1\/6, 0 in ascending order.\nAnswer: -6.9, -1\/6, 0, 1\/6, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-13*c + 41*c - 14*c)*(3 - 3 + c) as h*c**2 + s + r*c and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -2*k**2 + 6*k - 16. Determine a(8).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 3*g**5\/5 - 141*g**4\/4 + 612*g**3 - 3210*g**2 - 8400*g - 9206. Find t, given that i(t) = 0.\nAnswer: -1, 10, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -9 - (20 + -17)*-9. Solve -98 = -32*x + t*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*m**2 - m + 23*m**3 + 27*m**2 + m.\nAnswer: 23*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 17760 and 5100?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 84961 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 665974 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((3\/(-10))\/(162\/135)). Suppose b = 5*p + 3, 3*p + 0*b - 3*b + 9 = 0. Suppose -13 = -5*w - p*x - 2*x, 4*x = -y*w + 20. Solve -2*g + 7 = w for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**5\/60 - 7*u**4\/24 + u**3\/6 + 4*u**2. Let v be w(-7). What is the units digit of 14 + -1 + v + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 202831374 divided by -75318.\nAnswer: -2693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**19*k)*k**(-4\/15)*(k**(2\/61)\/k)**(-2\/135))**(15\/4) assuming k is positive.\nAnswer: k**(-158543\/2196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 != 83?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-65 + 49 - (-11 - -1))*2\/(-978). What is the second smallest value in 2\/9, 2, x, -5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1024 - 1023. Let t(a) be the first derivative of 24*a**4 - a**3 + 2*a + 1. What is the remainder when t(d) is divided by 25?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 divided by 3877.\nAnswer: -20\/3877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1884*r + 33582 = 2270*r for r.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3 and -597464.\nAnswer: -597467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(12\/5)\/f)\/f)**(-35)*(f**(-1)*f)**(4\/13) assuming f is positive.\nAnswer: f**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25 + 25.2. Which is the third biggest value? (a) 8 (b) g (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 4*g**2 - 8*g - 10. Give o(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 59134537 rounded to the nearest one million?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29 by 29.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 10. Let m = 21 + n. Solve m*w + w + 4 = h, -3*w - h = 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 + 157*o**3 + 25 + 10 - 4 + 2*o**2 - 163*o**3 to the form v*o**2 + u + r*o**3 + w*o and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 52721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 9 = 5*s, s - 187 = -5*q. Let l = -4 + q. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -3*w**3 + 395*w**2 + 136*w - 527. Calculate l(132).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3506290 is divided by 51562?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 + 13*l + 24. Let f be v(12). Let a = -36 + f. Let c be (a\/(-4))\/(-4) + 20. Solve i = -3*i + c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19 - 18.25. Let g = -35.25 - z. Let i = -36.0026 - g. Round i to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 51 - 27. Is c a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 10:42 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 467661*q**4*s**2 - 79*q**4*s + 5*q**2*s**2 - 3*q**2*s - 2*q**2 + 177608*q*s**2 - 2*s**2 wrt q.\nAnswer: 11223864*q*s**2 - 1896*q*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -154*-22\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5593*x - 34186*x + 0*x**3 - 32682*x - x**3.\nAnswer: -x**3 - 72461*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 9 = 3*c, -m - 2*m - 19 = -5*c. Suppose -p + 3 + m = 0. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -19, -96, -237, -454, -759, -1164, -1681?\n\"Answer: -2*h**3 - 20*h**2 - 3*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + 3. Suppose 0 = -3*k + 3*j - z*j + 156, k + 3*j = 56. Suppose -3*r = 5*q + r - 50, 2*q - 5*r = k. Calculate the remainder when q is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)*2*4 - sqrt(120) - sqrt(120))\/((sqrt(12) + (sqrt(192) - sqrt(12)))\/sqrt(3) - sqrt(4)))\/(-3*sqrt(384)*-4).\nAnswer: sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a second in milliseconds?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 378911419 a multiple of 875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 152910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 47, 8, -11190, 1\/5?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 c when three letters picked without replacement from tctttttttc.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -204 - -97. Let p = -101 - q. Solve 0 = l - t - 4, t + 6 = 5*l - p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -586*f**2 - 64*f + 35. Let t(j) = -j**2 + 11. Let o(m) = q(m) - 3*t(m). Find the second derivative of o(n) wrt n.\nAnswer: -1166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -20. What is the units digit of 0 - -2 - (s + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7249260?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-26*(-164)\/(-10))\/(6\/(-15))?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) -0.9095 (b) 1\/6 (c) 182\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3353623*v**3 - 1676798*v**3 - 1676807*v**3.\nAnswer: 18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r + 3. Let d(w) = -2*w**2 + 2*w + 1. Let g be d(-1). Let j(y) = 22*y - 7. Give g*j(m) - 7*t(m).\nAnswer: 11*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from {i: 4, w: 4, l: 2, c: 2}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2327 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1710126 to the power of 1\/2, to the nearest integer?\nAnswer: 1308","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 33. Suppose f*w = 4*w. Let l be 0\/(4 - w - 1). Solve -4*d = -l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*b**2 - 2*b**2 - 2*b**3)*(1 - 4 + 5) + 21 + 7*b**3 - 21 + (5*b - b - 2*b)*(3*b**2 + 0*b**2 - b**2) in the form s*b**3 + g*b**2 + y + i*b and give s.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 108 - 45046?\nAnswer: -44938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 7\/((-7)\/(-26)) - -2.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7*h**3 - 7*h**2 - 4*h. Suppose 120*d = 107*d + 78. Let f(b) = 8*b**3 + 8*b**2 + 5*b. What is d*s(q) + 5*f(q)?\nAnswer: -2*q**3 - 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -4*m**2 - 4*m**2 + m - 11*m - 7 + 7*m**2. Let q(c) = 4*c - 1. Let j be q(-2). Let l be h(j). Solve 3 + 2 = -5*f - 3*k, 2*f = -4*k - l for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65 - 27. Let l(f) = 2 + 15*f**3 - f - 8*f**2 + 0 + 19*f**2 - 13*f**2. Calculate the remainder when u is divided by l(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -56. Let p = -7.7 - v. What is the second smallest value in -2\/11, -0.5, p, 0?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6867 at most -6864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 2*s**2 - 2. Let v(y) = y**3 + 3*y**2 - 3*y - 7. Let q be v(-3). Let k(m) = -4*m**3 - 7*m**2 - 7. What is q*k(d) - 7*u(d)?\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.04927\nAnswer: 0.04927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(10) + -3*sqrt(10)*1).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 347, 693, 1039, 1385?\nAnswer: 1731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -515.9 - -516. Which is the nearest to t? (a) 4 (b) 22 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.13 + -10.13. What is the biggest value in a, -5, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w**2 - 23*w**2 + 12*w**2.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 - 2 - (-3 + 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 9908932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2. Let f be 1\/(-2)*-2 - -2. Let o(x) = x**2. Let m(t) = f*o(t) + 5*h(t). Let z(u) = 5*u. Calculate z(m(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 6543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -1 - (-9 - -8) - 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*6*3*(-1 + (1*sqrt(539)*-5 + sqrt(539) + sqrt(539) + sqrt(539) - (sqrt(539) - -4*(sqrt(539) + sqrt(539) + -1 + sqrt(539))))))**2.\nAnswer: -7348320*sqrt(11) + 1414656576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yi when two letters picked without replacement from {d: 3, e: 6, y: 1, i: 1, t: 3}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 11 = -20*y + 25*y, 5*y - 4*d + 23 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2*d**2)*(-d + d + 2*d) + 4 - 4 - 6*d**3 - 1429*d**3 + 44 + 31 + 2*d - 73 in the form g*d**2 + m + k*d**3 + h*d and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 1) + (-5)\/5*51. Suppose 4*a - 5*v = 564, 0 = 2*a + 3*v - 7*v - 282. Let w = x + a. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 7 (b) 5 (c) 2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6607427.\nAnswer: 179, 36913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*o - 11 = 0, -59*o = d - 62*o + 21. Let q(r) = r**3 + 5*r**2 - 4*r + 4. Let m be q(-5). Let g = d + m. Solve -g = i + 2*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1414004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 + 0 - 311*g**2 - 2 - 539*g**3 - 759*g**2 wrt g?\nAnswer: -3234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 1411 - p - p - 1416. Let z be (4 - 3)*(-4 - -1). Let g(l) = l + 4. Give z*g(s) - 2*k(s).\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 30053596 to the nearest 100000.\nAnswer: 30100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -100*b**4 - 98*b**4 + 37*b**4 + (6*b - 3*b - 2*b)*(5*b**3 - 3*b**3 - 5*b**3).\nAnswer: -164*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 6) in base 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85988 and 7252.\nAnswer: 601916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((1\/(-4))\/1)\/(15\/(-60)). Calculate the greatest common divisor of 3 and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 242 and 4?\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111354320 (base 6) to base 4.\nAnswer: -13301110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/(-48) + 0\/((-1)\/(-1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 501*d**2 - 83667*d - 4657463.\nAnswer: -(d + 167)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1793049498 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 6. Which is the nearest to 1\/4? (a) 2 (b) w (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01976 - -23.54976. Let d = a + -0.53. Let u = d + -23.034. Round u to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 + -10. Calculate the lowest common multiple of -3 + (-275)\/(-88) - (-158)\/16 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 30. Calculate the greatest common divisor of 344 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 85 + 108 = -5*h, -2*h + c + 9 = 0. What is the highest common factor of h and 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 8*q + 7. Give k(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x + x - 3*x + (0 - 3 + 1)*(-5*x + 13*x - 23*x) to the form p + l*x and give l.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46824498 is divided by 182.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00230865 to 4 dps.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 7*y - 2*y. What is the tens digit of (-2 - y\/(-9))*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30 or -24?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**3 + 13*a**2 - 16*a - 11. Let x be y(-14). Solve 3*l = s + 2*s + 9, -x = -5*l + 3*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 62 and 89025676.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.5 + 2.7. Let r = 14 - 11. Let j = f - r. What is the third smallest value in -0.1, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z - 4. Let r(l) = -9*l**2 - 260*l + 35. Let n be r(-29). Give j(n).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1247 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x = 7038 - 1046. List the prime factors of x.\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a + 0*a**2 + 5\/3*a**3 + 0 + 1\/12*a**4. Let y be g(-10). Sort y, 5, -1.\nAnswer: -1, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61, 2479, 7.\nAnswer: 7, 61, 2479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c + 2. Suppose -2*i + 5*b - 11 = 0, 3*i - 6 = -b + 3. What are the prime factors of r(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*o = 53, 5*b + 2*o - 83 = -0*o. Is b > 32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 224 = 6*c - 2*c, 5*r - 56 = -c. Round c to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**3 - 31*o**2 + 38*o + 42. Let u be z(14). Let j = -12 - -15. Which is the second biggest value? (a) 2\/5 (b) j (c) u (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -169374765472.4.\nAnswer: -169374765475.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + v = -4*p, 0 = 4*p + v + 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000456785653 to 5 dps.\nAnswer: 0.00046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 1\/210*d**7 + 0 + 0*d + 5*d**2 + 0*d**3 - 1\/60*d**5 + 1\/24*d**4 - 1\/120*d**6. Factor k(h).\nAnswer: h*(h - 1)**2*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 51*n - 735. Give y(-25).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 12*l**2 + 10*l + 11. Let j be m(11). Solve j = 5*v + 5*y - 15, 2*y = -5*v - 0*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 136480*x + 120750 wrt x.\nAnswer: 136480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9\/38, -9, -4\/7, -626, -0.72 in decreasing order.\nAnswer: 9\/38, -4\/7, -0.72, -9, -626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*f**5 + 0*f**5 - 3*f**5 + (-f**4 + 0*f**4 + 0*f**4)*(4*f + 0*f - 3*f) + 2*f**5 + 9*f**5 - 4*f**5.\nAnswer: 8*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*v - 2*n - 8, -2*v - 3*n - 11 = 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 741153227 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 26508913 to the power of 1\/2, to the nearest integer?\nAnswer: 5149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/5, 18, 0.046, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*g + 2*k + 159 - 385 + 222, 4*g = 5*k - 19 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22453399 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -959 - -964. Solve 3*s + 7 = 4*d + 19, 5*s - i*d = 15 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/15? (a) 3 (b) 1 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 4, 16, -1, -0.4 in descending order.\nAnswer: 16, 4, -0.4, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 89054.118 - 89016.118073. Let k = 38 - n. What is k rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65272 divided by -9696.\nAnswer: 8159\/1212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**3 + 2*x**2 - 3*x + 2. Let f = 2049 - 2049. Calculate c(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -197, -368, -539, -710, -881, -1052?\n\"Answer: -171*w - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 1:40 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 7*i + 74 = 0. Let g(f) = -5 + 4 - 1 - i*f - 20*f. Let p be g(4). Round p to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -59ab61 - -19?\nAnswer: -59ab45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/5 + 215*q**2 - 6513*q\/5 - 29187\/5.\nAnswer: (q - 9)*(q + 3)*(q + 1081)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 41 - -3) + 67?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -1. Let f(b) = 1. Let c(u) = 2*f(u) + 3*i(u). Let q(k) = -54*k**3 + 5*k. Let d(r) = -6*c(r) + q(r). What is the second derivative of d(p) wrt p?\nAnswer: -324*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4929 + -29256?\nAnswer: -29255.5071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v**4 - 14*v**3 + 137*v**2 - 210*v = 0.\nAnswer: -21, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 5*d**3 - 2*d**2 + 1. Let z be f(1). Let h(r) = 7*r**3 - r**2 - 3*r - 2. Let a be h(-1). Let v = 7 + a. Solve -4 = -z*p - v for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 3*y**3 + 4566*y**2 - 69015*y + 230550 = 0.\nAnswer: -1537, 5, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23830436 divided by 31?\nAnswer: 23830436\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from kkkkkkmkmkkkkkkmmmm.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**3 - 48*u**2 - 69*u + 306.\nAnswer: 3*(u - 17)*(u - 2)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-9)*4\/(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/5 (b) 40 (c) 2.4 (d) 0.023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*2*-5 + sqrt(130))\/(-1*sqrt(360) + sqrt(10)).\nAnswer: 9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13409, -54567, -123149, -219143, -342537, -493319?\nAnswer: -671477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7157039129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3893 + -3805. Suppose 5*l + 218 + 151 = 4*t, 0 = -3*l + 9. Calculate the least common multiple of d and t.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of -v**4\/14 - 4*v**3\/3 - 60*v**2\/7 - 144*v\/7 + 153. Factor s(d).\nAnswer: -2*(d + 2)*(d + 6)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1344\/(-132) - 2\/22*-2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, -74 in ascending order.\nAnswer: -74, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7804*h**5 - 9232*h**3 - 552987694*h.\nAnswer: 156080*h**3 - 55392*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.33 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 4:32 PM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 521*f**3*l**2 - 7*f**3 - f**2*l - 2*f**2 - 4*f*l + 26*f + 3*l**2 wrt l?\nAnswer: 1042*f**3*l - f**2 - 4*f + 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7378)\/2604*4\/(-34))\/((-2)\/330)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -88*a + 37*a - 99 + 47*a to w + n*a and give w.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 266 and 59318?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.02 + -0.08. Which is the third biggest value? (a) 2\/3 (b) -0.8 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - a + 1. Let g(m) = -3*m**3 - 9*m**2 + 5*m - 4. Give g(f) + 5*q(f).\nAnswer: -3*f**3 - 4*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 2*w - 4)*(w**2 - 3*w**2 + 4*w**2) + (22*w**3 - 47*w**3 - 5*w**3)*(-5 + 1 + 1) as h + a*w**3 + k*w + b*w**2 and give a.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (69\/24 - 3) + (-7442)\/(-976).\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 - q**2 - 9*q + 13. Let x be h(4). Let t = x - 33. What is the hundreds digit of ((-62)\/t + -1)*(6 - -18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 12933 = -0*a + 4*b, 5*a - 64647 = 2*b. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-4)*y)**(-2)*y*y**3*y\/(y\/(y\/((y*(y\/(y*y**12*y))\/y)\/y))) assuming y is positive.\nAnswer: y**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 24*f + 114. Calculate the remainder when 163 is divided by p(-20).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2034 is divided by 121?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -323056 (base 7) to base 8\nAnswer: -155745","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 780306.8 and -16.\nAnswer: -12484908.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l\/((l**(-3\/2)*l)\/l)))\/l)**(-35\/2)\/(l\/((l\/(l**(-3)\/l))\/l)*l)**(-9\/5) assuming l is positive.\nAnswer: l**(1153\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(18\/7)*i**(-23)\/i*(i**(-2)\/i)**(-12\/7) assuming i is positive.\nAnswer: i**(-114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjffijjfyfjjjiii. Give prob of sequence yy.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -4*g**4 - 438936*g**3 - 42977700*g**2 - 42538768*g = 0?\nAnswer: -109636, -97, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002774494 rounded to four dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(7) - 1*sqrt(7)) + 2 + sqrt(7) + sqrt(7)*2)*-5 - (sqrt(175)*1 - sqrt(175))*4*-3)**2.\nAnswer: 300*sqrt(7) + 1675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*750.\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-5) + (-2)\/(-10). Suppose 4 + 4 = r. Let x = r - 2. Solve -5*p - 29 = -o*u + x*u, p + 8 = -3*u for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61486309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-394)\/(-11032))\/(29\/50344)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {m: 6, u: 6}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -25*a**2 - 9118*a - 103414. Give q(-353).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - n + 75, -5*n + 0*n - 75 = -5*u. Suppose 4*r = -5*y + 33, 0 = -8*y + 3*y - u. What is the highest common divisor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -5. Suppose 2 = 2*t + o + 3, 4*t = -a*o - 7. Suppose -2*d = 3*i + t*d - 14, -d = 4*i - 10. Solve 0 = -u - i*u - 12 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m - 3. Let a(l) be the second derivative of 0 + 4*l**2 + 1\/2*l**3 - 6*l. Suppose 37 - 4 = -3*y. Calculate y*u(i) - 4*a(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 + 6 = -7*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*u**3 + 2*u**2 - 72490*u + 5471653 wrt u.\nAnswer: -9*u**2 + 4*u - 72490","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -260612*d**2 - 724998.\nAnswer: -521224*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 98307*d**3*j*w**3 - 9*d**3*j*w - d**2*j - 6*d**2 + 68*j*w**3 - 2*j*w**2 - 772*w**3 - 1 wrt d?\nAnswer: 589842*j*w**3 - 54*j*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 - 0.32. Let v = -41.6 - -7.6. Let d = v - -34.5. Put d, p, -1\/2 in decreasing order.\nAnswer: d, p, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -128792026, -257584055, -386376084?\n\"Answer: -128792029*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + -1)\/(2\/(-3)). Let a = r + -19. Let b be 9\/(-15)*-2*(-5)\/(-30). What is the nearest to 1 in a, b, -0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 3890, 4106, 4316, 4520, 4718, 4910?\n\"Answer: -3*y**2 + 225*y + 3668","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a541 (base 13) in base 7?\nAnswer: -452131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1200, -10136, -34378, -81576, -159380, -275440?\nAnswer: -437406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/315 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (28\/175*1)\/(4\/10). What is the closest to 0.4 in 0.1, 1.8, j, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503420.\nAnswer: 2, 5, 25171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 + 0*u + 0*u)*(-117 + 16 - 14) + 188*u + 108*u**2 - 188*u.\nAnswer: 338*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 252671830?\nAnswer: 2, 5, 25267183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -232375.2954 rounded to the nearest 100?\nAnswer: -232400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -234 - -234.000000448. What is x rounded to 7 decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 5 + -1 + 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000017722 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 17*g - 16128. Let r = -979 + g. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5492689?\nAnswer: 1433, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -62.34 - -62.327856. Round s to 4 dps.\nAnswer: -0.0121","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -8, -95, -240, -443, -704?\n\"Answer: -29*b**2 + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1623222 and 4588.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 3 - 0. Solve -5*f + k*w + 2*w = 5, w = -2*f - 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 351*i**3 - 2*i**2 - 32*i - 11?\nAnswer: 2106*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16995629 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (14 + -8 - (-16 + 28)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 2:21 PM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3\/3*(-15)\/3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74725420 and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-7))\/(39\/21 + -2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7 + 2\/7*m**2 - 4\/7*m.\nAnswer: 2*(m - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*g = 1930 - 339, i + 2*g = 517. Let j = i + -520. Solve -5 - j = 2*z - 4*k, z + 9 = 3*k for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72*2475\/(-8400)*4\/9.\nAnswer: -66\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 132 = -30*p, -24 = 3*p + u - 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 88\/14775 and 37\/50235.\nAnswer: 251175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8307\/220 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1 and -5430941?\nAnswer: 5430940.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 455 = -5*h, 281 = 4*h + u - 88. Suppose 0 = -h*a + 89*a + 33. What is the greatest common divisor of a and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3\/7 (b) -4 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -2)\/(21\/(-7)). Suppose -5*m + 137 = -3*b, d = -b - b + 2. Suppose 50 = g + m. What is the remainder when g is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1692 divided by 6.\nAnswer: -282","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1984477?\nAnswer: 11, 223, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 6 = o, -5*a + 0*a - 20 = 5*o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/(-63) + (-32)\/18. Let y be (4 - 2) + 0\/p. Suppose 0 = -4*o + y*o. Solve -4*x + 4 = -o*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1315683461 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 21. Suppose 0 = j*f - 5*m + 809, 211 = -f - 0*m + 3*m. List the prime factors of (-2 - -3)\/((-4)\/f).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 4, -0.1597, -0.1, -4, 0.7, -6?\nAnswer: -0.1597","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 499 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**2\/3 + 5714*l\/3 + 243791 = 0.\nAnswer: -5583, -131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 386.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 16 = -5*q. Suppose -5 = 4*t + q*o + 7, 0 = -5*t + 2*o + 20. Suppose 1 - t = -b. Calculate the greatest common divisor of 5 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/19, -914, 2\/11, 3\/5, -10\/9?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/31, 0.01, -3\/10?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 + 9*p + 6. Suppose -4*x + 9*x - 2*i = -202, 5*x - 5*i = -190. Let f be x\/12*(1 - -1). Calculate n(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*x**2 + 2*x**2 + 4*x**2)*(-x - 3*x + x) to the form r*x**3 + f*x**2 + y*x + c and give r.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/16 and 57\/212?\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-18*s - 25*s - 3*s) - 7 - 5*s + 7 + 2*s - s + s.\nAnswer: 43*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 2*m = -152, -b = -0*m - m - 38. Let h = -33 + b. What is the second derivative of -k**2 - h*k**2 + 2*k**2 - 22*k - 10*k**2 wrt k?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j + 32. Let x be l(6). Let h(p) = 631*p**2 - 17 - 15*p - 12 - 585*p**x. Is h(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*h - 10*h + 63*h)*((-h + 1 - 1)*(-4 - 1 + 3) - 2 + 2 + h).\nAnswer: 78*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6723*c - 3357*c + 412*c**3 - 3366*c.\nAnswer: 412*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5628421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3012 = 2*a + 2*a. Let k = a + -499. Calculate the common denominator of 1 + 2 - k\/40 and -81\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*b*t**2 - 2*b*t*v - b*t - 107*b*v - b + 4*t**2*v - 3*t*v wrt t.\nAnswer: -10*b + 8*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (sqrt(120)\/sqrt(10) - sqrt(3)))**2 - (sqrt(48) + 3).\nAnswer: -4*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2034 less than or equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 88087?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -11. Solve -4*q - 8 = 0, -h + 1 = i + 4*q for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1111110 (base 2) to base 15\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 1 + 11*b**3 - 10*b**3 to the form z*b + s*b**2 + d*b**3 + t and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 5) to base 14\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14324.\nAnswer: 2, 3581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) 35 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -19947.95 rounded to the nearest one thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (12\/1)\/(-2)*4\/(-8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 b when two letters picked without replacement from {b: 5, e: 2, z: 3}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h + 4. Suppose -2*y + 29 + 9 = 4*w, -2*w = -5*y + 11. Suppose w*v - 9*v = -8. Let b(p) = -p**3 + 2*p**2 + 9*p - 8. Let s be b(v). What is x(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61928803 to the power of 1\/2, to the nearest integer?\nAnswer: 7869","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*f + 332 - 3224 = 228. What is the remainder when 169 is divided by f?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (456\/(-304))\/(2\/(-24))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5321 (base 6) to base 2\nAnswer: 10010110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kffiofsfkf. What is prob of picking 1 f, 1 o, and 1 s?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 8 - 47 = 0. Let s(q) = -q**2 - 16*q - 15. Calculate the remainder when 93 is divided by s(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799682383 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37035\/8 at most as big as -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 - 22\/(-56). Let h = 0.78 + -1.31. Let i = -0.03 - h. Which is the nearest to 2? (a) -0.2 (b) i (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148.2 - 147.2. Which is the smallest value? (a) p (b) 1\/3 (c) -2\/9 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2305981.\nAnswer: 97, 23773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5640*a + 1906225. Calculate i(338).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 3 = -b, r = -1 + 3. Suppose 0 = b*t - 8*t + 36. Calculate the remainder when t is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4732 + -4741.83. Let m = 1.5 - 11.5. Let x = m - u. What is x rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 3*l**2 + 968*l - 684. What is r(-323)?\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -273110780 and -2\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 220359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -4920.0833 to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w - 4. Suppose -q = 5 - 10. Determine v(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7641.3271049 - -0.1\nAnswer: -7641.2271049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/sqrt(36))**2 + sqrt(135)\/sqrt(3) + 3.\nAnswer: 3*sqrt(5) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x - 30. Let c be w(-6). Let v be (-3)\/(-4*1\/c) + 0. Let l = v - -45. Solve -3*j - 10 = -l*j - 4*d, 3*j + 2*d = -4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxx when three letters picked without replacement from xxvvvxvvxvvvvvvx?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-1269)*(-402)\/(-670)?\nAnswer: -1\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.1 - 0.9. Suppose -1138 = -2*m - 3*k - 1154, -4*k = -5*m + 6. Which is the second biggest value? (a) m (b) n (c) -3 (d) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -10*s. Let p(d) = 381*d. Give p(y(c)).\nAnswer: -3810*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000212111002 (base 3) to base 5.\nAnswer: -1022033014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-32 - (-8207)\/261)?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 5*h + 7*h - 23, 4*h = -2*a + 22 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**3\/3 - 3952*i**2 - 1756049*i\/3 - 581398 = 0. What is i?\nAnswer: -11706, -149, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3208429137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004722843 rounded to 4 dps?\nAnswer: -0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3435880628?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1206 and 534672.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -18. Let a(v) = v**2 - 12*v + 9. Let j be a(y). Let n = j - -16. Solve -1 = n*o - 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23530110 a multiple of 213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*d*m*s*v**3 + d*m*v**2 - d*m - 128*m*s*v + 2*m*v**3 - 4*m - s*v**3 - 25*v**2 wrt s.\nAnswer: 13*d*m*v**3 - 128*m*v - v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of 7\/12*g**4 + 0*g**2 - 3*g + 0*g**3 + 1\/120*g**5 + 0 + 1\/144*g**6. Let s(i) be the third derivative of f(i). Calculate s(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.16 + -0.76. Which is the nearest to -0.03? (a) -4 (b) -2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 19496, 124.7 in ascending order.\nAnswer: 0.3, 124.7, 19496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.123821 from 8.\nAnswer: 7.876179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4314\/(-12223)*34\/2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -62, -119, -176, -233, -290, -347?\n\"Answer: -57*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 57 + (-31262)\/870 - 21?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 563301112?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4968 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 2:19 AM?\nAnswer: 8:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 42, 61, 82?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r - 3. Let i(g) = 5*g + 4. Let k(u) = 4*i(u) + 5*s(u). Suppose -2*l + 0*l = -34. Calculate the remainder when l is divided by k(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -25*v - 775. Let q(u) = 11*u + 389. Give -5*q(s) - 2*t(s).\nAnswer: -5*s - 395","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/23, 0.2, 80, -1\/6, -9\/28, -6.\nAnswer: -6, -9\/28, -1\/6, 2\/23, 0.2, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2815 - -2817. Solve -19 = -21*t + v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798667 is divided by 5254?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 48*b. Let h be l(1). Let c = -4 + -32. Let y be -27*2\/8 - c\/h. Let t(q) = q**3 + 5*q**2 - 4*q - 3. Give t(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.530825 litres in millilitres?\nAnswer: 530.825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*d = 12796 - 1080 for d.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 3*l - 14. What is the remainder when z(7) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1163476 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-924))\/(-1 - (-12)\/28)?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -10111100100 (base 2) to base 14\nAnswer: -79a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18542205 and 74168820?\nAnswer: 74168820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4178*p**2 - 25. Let w(j) = 275749*j**2 - 1645. What is -329*d(k) + 5*w(k)?\nAnswer: 4183*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223574 times -0.1?\nAnswer: -122357.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/124 and 107\/48944?\nAnswer: 1517264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3*h + 2293 = 9733. What are the prime factors of h?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8852, 17002, 25166, 33350, 41560, 49802, 58082, 66406?\nAnswer: 74780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from {c: 1, u: 1, k: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1dc7a0 + 37?\nAnswer: -1dc769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201080968.\nAnswer: 2, 11, 59, 38729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 1, 109, 3, 5, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*d - 12*d = -16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 6 + 8*m**2 - 2 - 3*m + 1. Suppose 5*s - 30 = -5*y, 3*y - 13 - 9 = s. Is u(y) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 14 = -2*k + 4*w, -k = 4*w + 11. Let t(d) = k + 4*d - 5*d - 1. Let n(q) = -29*q. Calculate t(n(j)).\nAnswer: 29*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o - y - 5, -3*y = y + 20. Suppose o = 17*a - 37*a + 40. Solve 2\/9*x**a - 2\/3*x + 4\/9 = 0 for x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -74. Let p(j) = 173. Let u(h) = -7*g(h) - 3*p(h). Let d(q) = -2*q**3 + 3*q**2 - 2. Suppose 4 = y + y. What is y*u(k) - d(k)?\nAnswer: 2*k**3 - 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1421340*l**2 - 1505421*l wrt l?\nAnswer: 2842680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 - 10*j + (2*j + 0 + 0)*(2 - 1 + 1) + 22*j - 11*j + 6*j.\nAnswer: 11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 7*d**2 + 2*d + 1. Let g(a) = -22*a**2 - 6*a - 3. Let q(i) = 2*g(i) + 6*s(i). Let o(r) = r**2 + 6. Calculate o(q(j)).\nAnswer: 4*j**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 33527 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.239 and 3.6.\nAnswer: 0.8604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffdffffdff. What is prob of sequence fd?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 + 27)*(-5)\/210*3.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 863 + 859 - 1722 + 5*s.\nAnswer: 5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*m**3 + 82018*m**2 + 156*m - 18 wrt m?\nAnswer: 12*m + 164036","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -308*i - 50691. Let q(v) = 7*v. Calculate m(q(h)).\nAnswer: -2156*h - 50691","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxjjzzjjajakjjj. Give prob of picking 1 k and 2 x.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 144*c - 959*c + 197*c - 1738*c. Let l(p) = -2*p**2. Calculate j(l(b)).\nAnswer: 4712*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/5))**45)**48*(j\/(j\/(j*(j*j**6)\/j))*j**(-4))\/(j**(2\/5)*j)**(-1\/7) assuming j is positive.\nAnswer: j**(6496\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, e: 3, b: 5}. What is prob of sequence bebw?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -2*y - i - 52, 0 = -y + i + 28. Let b = 45 - y. What is the highest common divisor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 4:24 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -4424?\nAnswer: 1\/4424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 114044896?\nAnswer: 2, 7, 103, 4943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 219595669?\nAnswer: 61, 3599929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5)\/((-12)\/(-14)*896\/1280)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -10. Suppose -3*b - v*c + 5 = 0, 0 = 3*b - 3*c - 16 - 5. Solve 0*f = 5*f + b for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 9. Let q be m(0). Let l = -13 - q. Let g be l\/(-18) - (-52)\/(-72). Which is the third smallest value? (a) 0.2 (b) 1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1379538 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*z - 36*z = -100*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1826282 is divided by 260897.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -9, -29, -79, -171, -317, -529, -819?\n\"Answer: -2*m**3 - 3*m**2 + 3*m - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*-60\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 772*p**6 - 3*p**5 - 4301*p**2 wrt p?\nAnswer: 92640*p**3 - 180*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, f: 1, h: 2, i: 2, v: 3, e: 3}. Give prob of sequence he.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**2 - 5*x + 4. Let b be z(2). Let a(y) = -63 + 63 - 2*y**2 - 3*y + b*y. Determine a(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3\/10 of a tonne?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -9 - -138 - (-1 + 0)\/1. Let l = x - 127. What is the second derivative of 4*g**l + 10*g**3 - 16*g - 21*g wrt g?\nAnswer: 84*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 3, 3.2658?\nAnswer: 3.2658","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 414, -4, 1\/4, 0.1, 3.4, 0.3.\nAnswer: -4, 0.1, 1\/4, 0.3, 3.4, 414","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 1902?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 424176?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1012315052 + 3?\nAnswer: 1012315055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1193 - 805 + 1290 - 16*p + 17*p.\nAnswer: p + 1678","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(2057))**2 + sqrt(136)\/sqrt(8) + 4.\nAnswer: 67*sqrt(17) + 2070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4020 - -3?\nAnswer: -4012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -3 and 4035.\nAnswer: 4032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 4*((sqrt(637) + -1 + -3 - sqrt(637))**2 + -4)*-6 + 5.\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001663 to six decimal places.\nAnswer: -0.000166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uulwuul. Give prob of sequence llu.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.57 + -3.67. Let g = -0.1 - s. Which is the second smallest value? (a) g (b) -4\/7 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-42)\/(-7)) + 0 + 2. Solve -3\/2 - 3\/2*z**4 + 6*z**3 + 6*z - 9*z**c = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38) - 6*sqrt(950))\/((sqrt(2) + sqrt(14)\/sqrt(7))*5).\nAnswer: -29*sqrt(19)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 3*p**2 + p. Let h be o(-2). Let s(a) = 19*a - 1. Let g(b) = -9*b + 1. Let i(v) = 5*g(v) + 2*s(v). List the prime factors of i(h).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eke when three letters picked without replacement from ewkgkekgwww?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2740.6 - -0.1010643?\nAnswer: 2740.7010643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 34 + -34.1. Let p be (-2)\/((-2)\/(-4)*3). Which is the second biggest value? (a) d (b) 2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 smaller than -15388?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*z**2 - 93*z**2 - 83*z**2 + 349*z**2 - 88*z**2.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(96) + 1*(sqrt(96) + sqrt(96)*2))\/((sqrt(108) + sqrt(12))\/sqrt(4)))\/((1*sqrt(2000))\/(sqrt(5) + (sqrt(25)*-2)\/sqrt(5))))**2*3.\nAnswer: 6\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 4*v - 0*b - 12, 5*b - 32 = -3*v. Suppose 2*m - p + 12 = 0, -5*m - 18 = -2*m + v*p. What are the prime factors of (-92)\/m*18\/12?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -5*((-3)\/2 - 55\/(-22)). Let m be (-15)\/4 + 7\/(-28). Put 2, m, q in ascending order.\nAnswer: q, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 9101120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - y**2 + 3*y + 1. Let u(g) = -g**3 - g**2 + 2*g + 1. Let f(a) = -2*a**2 + 48*a - 54*a - 3 + a**2. Let x be f(-5). Determine x*h(v) - 3*u(v).\nAnswer: v**3 + v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 11, -635, -4 in decreasing order.\nAnswer: 11, 4, 1, -4, -635","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -248261 >= -248119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-56))\/((-7)\/((-168)\/(-54)))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -158*i - 2. Let c be y(-5). Suppose -c = -6*n + 934. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 43 - 43 + 13*f. Let b(a) = 3*a - 1. Let r(i) = -22*i + 8. Let j(l) = -8*b(l) - r(l). Determine t(j(c)).\nAnswer: -26*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 194572 and 25453.\nAnswer: 220025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - s = -73307444 - 89412558, -271200004 = -5*d - 2*s. What is d rounded to the nearest 1000000?\nAnswer: 54000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57 + 17 - 2)*(-14*a + 6 - 2 - 2) as u + s*a and give s.\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than 37\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*(w**(-6\/7)*w*w)\/w*w\/((w**(-29)\/w)\/w*w)*w assuming w is positive.\nAnswer: w**(239\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - s**3 + 2 - 206*s**2 + 0*s + 2 + 419*s**2 - 2*s in the form n*s**3 + h + a*s + t*s**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97639 = 4*s - 179689. Suppose 184668 = 2*o - s. What is o rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260) + 1*(sqrt(260) - -3*sqrt(260)) + 3*(sqrt(260) + sqrt(260)*3))\/((-2*sqrt(30)\/sqrt(2))\/(-4*sqrt(27))).\nAnswer: 204*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3 + 673245*i**2.\nAnswer: -i**2*(i - 673245)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + x. Suppose 2*q + 0 - 4 = 0. Let y = 1 + q. Solve -3*u - c = 2*c - 12, x = -y*u + c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**0)**(9\/4)\/((g\/(g*g*(g*(g*g**3)\/g*g)\/g)*g)\/g)**(-1\/25))**43)**(-37) assuming g is positive.\nAnswer: g**(1591\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {k: 1, l: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*z - 6*z - 16*z + 8*z to s*z + h and give s.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 18*o - 21. Let y be 64\/416 - 22\/(-26). Let n be 1\/(y\/5)*(-39)\/(-15). What are the prime factors of i(n)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 0 + -3 + sqrt(125)*-3 + 1)**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -135\/29? (a) -4 (b) 2 (c) -5 (d) -2\/11 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*f - 6*o - 219, 2*f = 2*o + 204. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 388*n + 7. List the prime factors of p(2).\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 585564, 585574, 585598, 585642, 585712, 585814, 585954?\nAnswer: 586138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 141*s + 7. Calculate p(1).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of q**2 + 6*q + 7. What is m(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + sqrt(12)\/sqrt(4))*-2 + sqrt(9)\/(sqrt(3) + 1*sqrt(3)).\nAnswer: -7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.83983 + -1.9.\nAnswer: -5.73983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255 and 64690355.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -516, -2 in ascending order.\nAnswer: -516, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 2221 = 3*l - 449, -3*a + 2646 = 3*l. Suppose 0 = -7*u + 10203 - l. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -7080\/157 and -73 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.51 and 5.\nAnswer: 2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326352 is divided by 983.\nAnswer: 979","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15774)\/(-65725) + 1544\/25?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 206 (base 8) in base 7?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8.84 - -0.16. Let r = x - 8. Let b = -37 + 36.9. Is r at least as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*g**4*r + g**2*o*r + 181*g**2*o - 12002*g*o*r + g*o wrt g?\nAnswer: -24*g**2*r + 2*o*r + 362*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -74*h + 50*h - 5352. Sort -2, 5, h in descending order.\nAnswer: 5, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-178 - -165) + 17\/4)*-9*4\/180.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10847 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(((w\/(w**(-3\/5)\/w)*w)\/w)\/w*w)*w*w**(6\/5))\/(w*w**(2\/3)\/w)**21*((w*w**(3\/2))\/(w*w**0))**(-39) assuming w is positive.\nAnswer: w**(-709\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 72 - 4 = 0. Calculate the remainder when 33 is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i + 6. Let z be y(0). Suppose -408 = -z*q + 1386. What is the tens digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 6:42 AM?\nAnswer: 6:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 0*a**3 + 0*a**6 + 2\/21*a**7 + 1\/3*a**4 + 0*a**2 + 0 - 3*a + 0*a**5. What is the third derivative of v(y) wrt y?\nAnswer: 240*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/180 - d**3 - 3*d**2. Let o(y) be the first derivative of l(y). Let p(j) = 4*j**2. Give p(o(v)).\nAnswer: 16*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 PM and 11:52 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of -7*x**4\/8 + 4*x**3\/3 + 2*x**2. Let h be i(-7). Suppose 3*d = 4*u - 128, 5*u - 3*d = 2*d + h. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3558532 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 75774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9 - 0.1125466?\nAnswer: -1.0125466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/81387 and 24185 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/3)\/d)**(2\/3)*(d\/(d*(d*d**(1\/5))\/d))\/(d\/(d\/(d*d**(-1\/5)))) assuming d is positive.\nAnswer: d**(-19\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -4*1*45\/(-10). Suppose 3*x - 3*v + 33 = 0, -3*v = -2*x - o - 8. Is -0.1 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {e: 2, a: 1, k: 2, f: 2, o: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - ((-10 - -6 - -3) + (-1 - 3))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 65001462?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-x + x - 2*x**3) + (-x - x + 0*x)*(-6*x**2 + 2*x**2 + x**2).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.557 + 1.557. Which is bigger: q or -0.768?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate g*x**3 - 2*g*x**2 - 11462495*g + 1858139*x wrt x.\nAnswer: 3*g*x**2 - 4*g*x + 1858139","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2316.4 + -2316. Let w = -49\/2 + 24. Sort b, 4, w in decreasing order.\nAnswer: 4, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j = -5*q + j + 14, 0 = 2*j - 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/1 - -14 - -2. Suppose 0 = -n - 4*b - c, -2*n - 3*b + 7*b = -20. Suppose -t - 8 = -n*t. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*p - 921908 = -109*p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*u**2 + 5452 + 1193 - 2*u**2 + 954*u**4 - 1011*u**4 wrt u.\nAnswer: -228*u**3 - 106*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 3:17 AM?\nAnswer: 5:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) 14 (c) -3 (d) 28 (e) 5\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-13 - -13)\/(-2 + 1). Let c be 3 + (1 - 0\/2). Let h be (3 - o) + c + 2. Solve 3 = 3*x + h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppjodjdpjdldpppoop. Give prob of sequence ojld.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3585 - -10.\nAnswer: 9.6415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 83.558 + 1.142. What is k rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/32031 and -1\/1538.\nAnswer: 49263678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -6479720?\nAnswer: 1\/1295944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 192\/(-45360)*((-8)\/(-12))\/(96\/18)*20?\nAnswer: -2\/189","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 23*h**3 - 64 + 18*h**3 + 22*h**2 + 13*h**3 + 21*h**3 - 77*h**3 - 40*h = 0.\nAnswer: -1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 2*n**2 - 97*n + 194. Let j be a(2). Solve j = 16*w - w - 135 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 33144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*y + 7 + 6*y - 5 in the form a*y + l and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 19*i - 973. Calculate u(31).\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**2\/2 + 7*u + 1. Let q be r(-6). Suppose q = -5*v + 16. Solve -5*b + v = -4*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4226223717.\nAnswer: 3, 20611, 22783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31461 - 1258553\/40. Let q = 1862141\/3594030 - -2\/32673. Calculate the common denominator of g and q.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*l - 387 = 103*l, 0 = -3*d + 4*l - 0 + 69 for d.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-49)*((-3)\/2)\/(-3)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = -0*c - 88. Let b(z) = z**2 - 43*z + 86. Let f be b(41). Calculate the greatest common factor of f and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 + 5.08. Let x = d + -2.08. What is the smallest value in -4, x, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5*v - 158, 4*v = 3*m + m + 160. Let k be 1\/(-3)*m\/70*1. What is the smallest value in k, -1.2, -0.5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-564)\/792*3*-4 + (1 - 9)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 5*o**4\/4 + 10*o**3\/3 + 5*o**2\/2 + 8. Factor l(h).\nAnswer: 5*h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/101 (b) -256\/5 (c) 3\/2 (d) -1 (e) 2\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -1 - -27 - (44 + -39).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -81, -122, -163, -204?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47585703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1548 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3728.39732 rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 - 2*d**2 + 5. Let h(p) = -6*p**3 - 7*p**2 + 16. Determine 2*h(x) - 7*q(x).\nAnswer: 2*x**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -10 - ((-12 - -16) + -10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 3) to base 2\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8819556359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -746480 divided by -2666?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times -0.6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 8796?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589851189?\nAnswer: 3, 65539021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) - sqrt(220)\/sqrt(44))\/((sqrt(40)*-2)\/sqrt(4)).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2424376?\nAnswer: 2, 179, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/3 + 102\/(-9). Let f = m - -20. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 6:55 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -31 + -cc?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 3003.5 to the nearest 10.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -202 by -202.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -328 + 745. What is the remainder when r is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**2 - 7*l - 5 - 3 + 3*l**2 - l. Let g be z(9). Let m(i) = 29*i - 1. What is the remainder when m(g) is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -468013996 by 607.\nAnswer: -771028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 16*k - 64. Let w be j(6). Suppose -3*x = -h - w, 0 = -2*x + 2*h + 20 + 4. Calculate the lowest common multiple of x and 11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + (-35 + -4 - 9 - 20)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8971?\nAnswer: 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 70 + -106 - (86 - 122)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z**3 - 2*z**2 + 1. Let g(r) = 11*r**3 - 4*r**2 + 2. Let y(o) = -6*g(o) + 13*n(o). What is the tens digit of y(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 9214372 = 1294364. Let v be (-16)\/(-24) + r\/3. What is v rounded to the nearest one hundred thousand?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 26*w + 5. Put w, -5, 5, -3 in descending order.\nAnswer: 5, w, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * 0.21127.\nAnswer: -0.105635","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 655166430 + 5?\nAnswer: 655166435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/119, -0.018, -3\/8, -1, 0.3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -21*g**5\/5 - 3963*g**4\/5 + 231*g**3 + 3963*g**2\/5 - 1134*g\/5 = 0.\nAnswer: -189, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 5*w = 12. Let x be 3\/w - (-120)\/32. Let y(d) be the first derivative of -d**4\/4 + 2*d**3 - 3*d**2 + 1. Give y(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15050)\/(-200) - 74)\/(-20)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110210122101020 - -12212?\nAnswer: 110210122121002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10992590.\nAnswer: 2, 5, 7, 157037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -433.649 + 433.929037. Let d = -0.24 + -0.04. Let w = d + n. What is w rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - c**3 - 19)*(-12*c - 17*c + 27*c + 3*c - 4*c + 3*c + (0 + 0 - 2)*(-1 - 2*c + 1)) as v*c + b + q*c**3 + l*c**4 + o*c**2 and give l.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3324910?\nAnswer: 2, 5, 233, 1427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 29*l + 549. Let t(w) = 18*w + 366. What is 5*p(d) - 8*t(d)?\nAnswer: d - 183","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttgg when four letters picked without replacement from {t: 3, g: 13, z: 2}.\nAnswer: 13\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -p**5\/24 - 5*p**3\/3 - 14*p. Let u(m) be the second derivative of o(m). Let f(q) = -2*q**2. Calculate u(f(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k**3 + 8*k**2 + 26*k - 46. Let x(w) = -24*w**3 - 15*w**2 - 49*w + 86. Determine 11*b(v) + 6*x(v).\nAnswer: -v**3 - 2*v**2 - 8*v + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t + 5*t)*(4 - 1 - 2) + (0*t - 4*t + 3*t)*(4 + 0 - 1).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 2*q + p + 24, -5*q - p = -16. Suppose 0*a = -q*a + 124. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4*b + 3. Let y(r) = 5*r + 4. Let z(w) = 3*k(w) - 2*y(w). Let t = 9 - -63. Let h = -77 + t. What is z(h)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 16322966?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17)*1*-5 + 2)*-2.\nAnswer: -4 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 9*a + 25. Let r be o(-11). Factor -9*t**r - 3*t**2 - 4*t**4 + t**4 - 26 + 32 + 9*t.\nAnswer: -3*(t - 1)*(t + 1)**2*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -235, -103, 117, 425, 821, 1305?\n\"Answer: 44*f**2 - 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -78 (b) 2 (c) 63 (d) 0.3 (e) 101 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (4\/(-44)*1)\/((-7)\/119) and -41\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*z**2 - 2*z + 2*z**2 - 10*z**2 - 4*z**4 as m*z**2 + x*z + g*z**3 + s + b*z**4 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20231, -20232, -20233, -20234, -20235, -20236?\n\"Answer: -d - 20230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 30*n**2 + 12*n. Let a(i) = -61*i**2 - 26*i + 1. Let r(c) = 3*a(c) + 7*t(c). Calculate the smallest common multiple of r(-1) and 40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 127\/60 and -87\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/100 and 69\/448?\nAnswer: 11200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 2\/11, 1\/2, 58?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7575 + 5683. List the prime factors of p.\nAnswer: 2, 7, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, 2\/3, -3.929, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 0 (c) 9 (d) 2\/5 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-15))\/(40\/40)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + -3 + (1*sqrt(110) - sqrt(110) - sqrt(110))\/sqrt(10) - (sqrt(396) + 0 + 5))**2.\nAnswer: 48*sqrt(11) + 163","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 14. Which is the nearest to s? (a) 3 (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-44)*16\/(-12).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6 - i + 5 - i + (1 - 2 + 0)*(5*i - 3*i + i) + 3*i + 2*i - 3*i.\nAnswer: -3*i - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 6. Let j be q(-8). Find the first derivative of -j*v**2 - 2660*v + 2660*v + 82 wrt v.\nAnswer: -116*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.282*67949.\nAnswer: 19161.618","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 83.032177 to one decimal place.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 + 478*l + 12047. Calculate f(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 691 = 2*d, 2*v - 3*d = -752 + 274. Suppose 3*n = 4*n - 54. Find the common denominator of 23\/16 and v\/144 + 12\/n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 169.7\nAnswer: 339.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 694 (base 13) to base 3.\nAnswer: 1120001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 885, 897, 939, 1023, 1161, 1365?\nAnswer: 1647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 775842 and 2101.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1480250 divided by -6\nAnswer: -740125\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 120, 249, 378, 507, 636?\n\"Answer: 129*o - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -6*o + 3*o. Suppose -5*g = 2*g - 7. What is the highest common divisor of g and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h - 1. Let k be t(-4). Let l be (-9)\/(k + 0) - -14. Calculate the greatest common factor of 99 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 542 = q - 1193. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6866 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p - 1. Let c be m(5). Let q = 12 - 7. Let n be (-10)\/15 + 6\/9. Solve q*a = i - 20, n - c = 3*a for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of -2*r**6\/15 - r**5\/5 + 3*r**4 + 6*r**3 - 40*r. Solve q(p) = 0 for p.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/114*(-6337)\/(-25348).\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*5\/(-15)*(-3)\/8.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -844655 by 2.\nAnswer: -844655\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 768.1512 - 0.1512. Let r = -768.0954 + h. Round r to three decimal places.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 2*z = 10, -339*z + 119 = -3*a - 310*z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1014731 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 25 = -0*p. Suppose 4*c - 56 = -4*w, 5*w + 1 = 5*c + 31. Suppose -3*j + 21 = -m, -4 = -2*j - m + w. What is the remainder when j is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21690 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 220200100111 (base 3) to base 8\nAnswer: 1664612","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -j**3\/3 + 5*j**2\/2 - 3*j - 2. Let x be o(5). Is ((-12)\/(-8))\/(x\/(-92)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1204625088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2799 <= 2801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -38c?\nAnswer: -389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -355 (b) 2 (c) 903\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2012)\/(-6) - 11\/33 - 4. Let w = t - 579. What is the common denominator of (-14)\/(-112)*3*w\/(-10) and -61\/22?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -13, 2624, 2, -23.\nAnswer: -23, -13, 2, 9, 2624","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 110*b**3 - 2*b**2 + 4*b - 2. Let w be m(1). Suppose r - 40 = -4*u, 5*r = -8*u + 6*u + w. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*t + 280, 0 = -2*h - 7*t + 5*t - 184. Let k = h - -98. What is the remainder when k is divided by (-3)\/(2\/(-16)*6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 105719 and 233773?\nAnswer: 1489","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 7469357*t + 29877426. Determine d(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2\/13 - 112\/13*c**4 - 146\/13*c**3 - 32\/13*c**5 - 22\/13*c - 86\/13*c**2 = 0. Calculate c.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14393 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2567 is divided by 59?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 585.999999832 + -586. Round h to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * 1.16.\nAnswer: 3.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1448 - u + 888*u**2 + 436*u**2 + 1424*u**2 - 438*u**2 wrt u.\nAnswer: 4620","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 - (-1 + 8 - (-41 + 19))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6663 less than -6911378578?\nAnswer: -6911385241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 18 - 1 = -y - 3*a, 0 = 29*y + 4*a - a + 31 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16671558 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00241023385 to 4 decimal places.\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 k when three letters picked without replacement from {f: 3, a: 8, g: 2, k: 1, r: 5}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/(242\/(-55)))\/(35\/42).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 192.1 + -37.1. Let p = -438 - -285. Let j = x + p. Sort 0.4, j, 4, -5\/2 in descending order.\nAnswer: 4, j, 0.4, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.9239 rounded to 0 decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 108349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -38, 46, -69?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13927 + 13921. Which is the nearest to y? (a) 2\/3 (b) -3 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 55 - f**2 - 92 + 72 - 26 - 99 to t*f**2 + l + q*f and give l.\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/(-14))\/((-68 + 36)\/224).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4735688*d**2*v**2 + d**2*v - 971*d**2 - 130*d*v + 4*v wrt v?\nAnswer: 9471376*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x - x + 18. Solve 3*g = 3*z - x, -z - 2*z + 4 = -5*g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.16 - 0.04. Let k = 7 - 4.5. Let v = 0.5 + k. Which is the second smallest value? (a) 2\/7 (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -1\/5*b**5 + 11\/120*b**6 - 2\/105*b**7 + 0*b**3 + 0 + 3\/16*b**4 + 5*b + 1\/672*b**8 + 5*b**2. Solve j(r) = 0 for r.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**5\/m*m)\/((m**(-8\/3)\/m)\/m)*m**(-9)*m*m*m\/(m*m**(-4\/3)*m) assuming m is positive.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 4*n + 16 = 0, -4*u - 3*n + 19 = 7. Suppose u = p - 4. Suppose 0 = -x + 2*s + 14, -p*x + 14 = s - 24. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 339*h + 519*h + 199*h + 63420 for h.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -9. Which is the second biggest value? (a) 5 (b) w (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/9)\/((-248)\/(-744)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -188473 less than -10.434?\nAnswer: 188462.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*((f\/f**8)\/f)\/f*f)\/f**(-23) assuming f is positive.\nAnswer: f**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 178038 = -2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence phgh when four letters picked without replacement from {l: 1, p: 1, h: 1, g: 1, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -9) + 9 + -21 + 5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((-15)\/18)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/6*2\/14\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -75*(-691 + 692)\/(0 + (-9)\/3)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (4 + -4))*(-8)\/(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1350788 (base 12) to base 5\nAnswer: 1440243042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 911100 is divided by 53.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/12*21\/(1 - 4). Solve z + 5*h - k = 0, 4*z - 2 + 24 = 5*h for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -3, -4, -0.1, -25.\nAnswer: -25, -4, -3, -0.1, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*(-26)\/(-2340) + 2\/(-6) + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 262 - 185. Suppose -7*s + 518 = v. What is the remainder when s is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 - 37*r**2 + 30*r + 82. Let j(k) = 14*k**3 - 186*k**2 + 145*k + 411. Let s(q) = -11*i(q) + 2*j(q). Find v such that s(v) = 0.\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -8790609?\nAnswer: 5\/8790609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/76 and -107\/1330.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 29815 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 - -612?\nAnswer: 617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3174241 and 4376.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3\/3 - 53727664*f**2.\nAnswer: 4*f**2*(f - 40295748)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40081?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**2 - 2016*r + 769*r + 4 + 756*r to l + f*r + u*r**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/14*12\/(5436\/(-1057))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -5*w + 38 + 14 + 4, 133 + 139 = -11*r - 3*w + 335 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 - -0.75134705531?\nAnswer: -0.84865294469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2. Sort -2, -1.3, r in increasing order.\nAnswer: -2, -1.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 50 = 5*x + 14*q, -4*x + q + q + 44 = 0 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -8*p**2 - 2*p - 2. Let z(t) = -25*t**2 + 20*t + 1. Let n(m) = 69*m**2 - 53*m - 2. Let u(g) = -3*n(g) - 8*z(g). Determine 6*u(a) - 5*y(a).\nAnswer: -2*a**2 + 4*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6437395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - -1 - (40 + -2). Let o = -61 - a. Let m be (-3)\/6*(o + 1). Solve 4*p - 2*p - m = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {y: 2, m: 4, k: 6}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of -z + 0*z**2 + 1\/3*z**3 + 0. Let v(x) = -5*x. What is v(d(r))?\nAnswer: -10*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the first derivative of 47*t**2 + 2. Let l(g) = -g. Give w(l(z)).\nAnswer: -94*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 + (11 - (9 + (13 - 7))).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 46*c**2 + 4*c + 5. Let w be i(-4). Suppose -3*t = -8*t + w. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 16 and 0.6.\nAnswer: 9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 4*m - m)*(12*m + 16*m + 20*m - 58*m + 11*m - 255).\nAnswer: -2*m**2 + 510*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 140*j + 4 + 5.\nAnswer: -140*j + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 96682529 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 953094.5mg?\nAnswer: 953094500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -923 + 927. Solve -i*y - 79 + 95 = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 10) in base 9?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*i**3 + 149*i**2 + 6*i.\nAnswer: i*(i + 3)*(49*i + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/6*-3)\/(42\/12)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 6767 = -6722 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -100326.05 to the nearest one hundred.\nAnswer: -100300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*n**5 - 506*n**2 + 507*n**2 - 8*n**5 wrt n?\nAnswer: -300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7277054 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.28 - -0.2. Let d = -0.14 - g. Let k = 0.0576 + d. Round k to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11672 - -77126\nAnswer: 65454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33713, -33717, -33721, -33725, -33729, -33733?\n\"Answer: -4*z - 33709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -208049 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -21*n**5 - 8457*n**4 + 2439*n**3 + 8457*n**2 - 2418*n = 0.\nAnswer: -403, -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.461132 millilitres in litres?\nAnswer: 0.002461132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1965 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: Is (116 - 0) + 3 + -4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:37 AM?\nAnswer: 10:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -17*f**2 - 430. Let z(v) = -897*v**2. Give n(z(m)).\nAnswer: -13678353*m**4 - 430","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwrrwjjwjrjwj. What is prob of sequence rjrr?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 24 = v. Let w be 2\/v + 16\/6. Suppose -d + 3*c = -11 - 10, d + w*c + 9 = 0. Solve d = 2*n, -a = -3*a + 4*n - 14 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 30*k**3 - 21*k**2 + 53*k - 10. Let d be r(4). Calculate the greatest common factor of d and 94.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3))**(-21))**(-30) assuming u is positive.\nAnswer: u**(-210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/355124 and 117\/40?\nAnswer: 3551240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 10 + 15 - 29.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 6*v. Let y(a) = -a. Let m = -3 - -7. Give m*p(u) + 22*y(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(4\/30*12\/(-8))*1\/4?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**6\/150 - a**4\/20 - a**3\/15 - 4*a. Suppose d(i) = 0. What is i?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, m: 1, h: 1, l: 2, u: 2}. Give prob of sequence ehl.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 148*b - 18. Let y be m(2). Let f = y + -184. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6712 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: What is next in 141, 275, 413, 561, 725?\nAnswer: 911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of -a**2\/2 + 2. Suppose -5*w + 2*f - 3 + 25 = 0, -3*f + 5 = 2*w. Let q(x) = 18*x + 5*x - w + 4 + 9*x. Calculate q(i(h)).\nAnswer: -32*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/5880 and 29\/212856?\nAnswer: 1064280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -97.8 + 18.113003?\nAnswer: -79.686997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**3 - d**2 + 3*d + 3. Let k be (-96)\/160 + 72\/20. Let f(y) = -4*y**3 + y**2 - 2*y - 2. Calculate k*f(b) + 2*r(b).\nAnswer: -6*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*h + 5*f - 13 = -27*h, -31 = -2*h + f. Calculate the remainder when 93 is divided by h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025205 rounded to two dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-9 + 2 + 5). Let m(b) be the first derivative of 5 - 1\/3*b**3 + b + 1\/2*b**v - 1\/4*b**4. Factor m(u).\nAnswer: -(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*g**3 + 11*g - 11*g + (-2*g + 2*g + 2*g**2)*(-g + 4*g - 2*g))*(1 - 2*g - 1 + (-3 - 2 + 3)*(2*g + 0*g + 0*g) + 9*g - 4*g + 5*g).\nAnswer: 136*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 389937*m**5 - 885210*m wrt m?\nAnswer: 7798740*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -99*t + 1768. Let h(k) = -37*k + 589. Determine 8*h(i) - 3*s(i).\nAnswer: i - 592","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 less than -950\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 3*-2 - -2. Suppose -z + d*a - 3 + 25 = 0, a = -2*z + 11. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 3*x**2 - 6*x + 4. Suppose -15*q = -21*q - 300. Let n = -46 - q. Give d(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*i - i + 8, -f - 11 = -4*i. Solve 5*y - 2*t + f = 0, 6 = -y + 4*y - 5*t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 812 + -804. Solve -14*m + h*m = -6 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_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: What is 564 minutes before 10:03 AM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -8035 (b) -5\/4 (c) 0 (d) -2\/9 (e) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 5, t: 7, g: 2}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 + 37. Let c = -22 - q. Suppose 3*u + 2*y = 1, -2*y - 9 = -1. What is the smallest value in c, -5, u?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d**2 + 3538*d + 3365. Let l(o) = 11*o**2 + 4717*o + 4481. Let c(t) = -11*l(t) + 15*z(t). Let c(n) = 0. Calculate n.\nAnswer: -1, 1184","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2. Let j(l) = -50759632*l. Give j(w(b)).\nAnswer: 203038528*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 1 = -7*b + 14, -2 = z + 2*b for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -261173, -522334, -783495, -1044656?\nAnswer: -1305817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 5. Let h be d(5). Suppose u + 100 = 6*u. Let y = u - 16. Sort h, 5, y in increasing order.\nAnswer: h, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -29, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 23284 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 - -27. Let z be 1316\/24 - d\/42. Suppose -3*t + 533 + z = 0. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -19, -27, -35, -43, -51?\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/65 and (-11)\/((-594)\/4)*-3.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -263 (b) 0.5 (c) 4 (d) -3 (e) 0 (f) 236\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2.9? (a) 1 (b) -3\/2 (c) 0.01 (d) -36 (e) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-one quarters of a gram in milligrams?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 285410.8 millimeters in centimeters?\nAnswer: 28541.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 108365893 < 108365886?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -10*q**2 + 0*q + 0 + 13\/24*q**4 - 29\/120*q**6 + 0*q**3 + 0*q**5. What is the second derivative of d(j) wrt j?\nAnswer: -174*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - -13 - (5 - 1) - -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23610 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(-2*sqrt(114) + sqrt(114)))\/(sqrt(4860)\/sqrt(10) - sqrt(6)))**2.\nAnswer: 19\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 133285 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_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: Solve s = 3*w + 8, 47*w - 44*w + 113 = -14*s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -22*q**3\/3 - 680. Let m(b) = -b + 18. What is u(m(c))?\nAnswer: -22*c**2 + 792*c - 7128","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 3. Let k(z) = 0*z**2 + 7*z**3 + 3*z**2 + 4*z**2 + l*z**3 - 7*z. Let f(c) = -6*c**3 - 4*c**2 + 4*c. Let q = 9 + -5. What is q*k(j) + 7*f(j)?\nAnswer: 2*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/449875024 and 45\/424?\nAnswer: 449875024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -24 - -23. Let d be (-45)\/(-27)*(-81)\/t. What is the highest common divisor of 15 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-327)\/12)\/((-45)\/18)*198\/5247*53?\nAnswer: 109\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1082692 or 1082690?\nAnswer: 1082690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is v in 3*v**2 + 12331980*v + 12331977 = 0?\nAnswer: -4110659, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + (sqrt(550) - (sqrt(550) - 4*sqrt(550))))*4)\/(-4*4*sqrt(275) - sqrt(275)).\nAnswer: -84*sqrt(2)\/85","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o = -j - 3*j - 18, -4*j = -o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -538335 divided by 7.\nAnswer: -76905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in centimeters?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 191176.47 months to years.\nAnswer: 15931.3725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}